diff --git "a/data/dm_maths/full_data_1/2108_11255.jsonl" "b/data/dm_maths/full_data_1/2108_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2108_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Convert 119906 (base 13) to base 15.\nAnswer: 84bbe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m - 4 = 13*m. Let r(l) be the first derivative of -1 - 2\/9*l**3 + 1\/9*l**m - 2\/45*l**5 + 0*l + 1\/6*l**4. Solve r(v) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 54 + -104. Let n be l\/(-20)*(-8)\/(-10). What is the third derivative of 3*x**6 + 10*x**3 - 10*x**3 + n*x**2 - 3*x**2 wrt x?\nAnswer: 360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2.1, -0.03, 0.2, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-1\/6)*x)\/(x*(x**(-2\/27)*x)\/x))\/(x**1)**41 assuming x is positive.\nAnswer: x**(-2147\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 575233247?\nAnswer: 1301, 442147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by 62\nAnswer: 10\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - -4623491.\nAnswer: 4623494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 2:05 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 628681559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 6*l - 60. Suppose 3*o - 4 = 4*g, 4 = -5*g - o - l. Let d be (-6)\/g - (-20)\/8. Let m(j) = j**3 - 4*j**2 - 3*j + 6. Calculate m(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 132.0721081 - 0.1119081. Let x = j + -132. Let l = 21.1398 + x. What is l rounded to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 133323201 + 10?\nAnswer: 133323211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 126, 0.1, 33, 1\/59 in descending order.\nAnswer: 126, 33, 0.1, 1\/59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 2*b = 14, -4*b + 0*b = -n - 21 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4927.\nAnswer: 13, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 w when two letters picked without replacement from zzzzdzwzzwzzzzddzed?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -i**3\/6 - 71*i**2\/4 - 69*i + 587. Factor w(g).\nAnswer: -(g + 2)*(g + 69)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2432) - (sqrt(2432) + sqrt(2432)*1 - sqrt(2432)) - sqrt(38))\/sqrt(2))**2*-2.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 90368489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -37. Let c = -7651.955 - -7630. Let u = c + q. What is u rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -395*r**3 + r**2 + 5*r**2 - 6*r**2.\nAnswer: -395*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 138 + -116. What is the remainder when 85 is divided by a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/5))**(-11\/3)*(w**(5\/2)\/w)\/(w**(-2)*w) assuming w is positive.\nAnswer: w**(53\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 i, and 1 o when three letters picked without replacement from orqorifiiiiiilifoqoq?\nAnswer: 16\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) -4\/7 (b) -3\/2 (c) 0.3 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 5 - 1. Suppose -k + 5*w - g = 0, -w - 41 - 12 = -4*k. What is the lowest common multiple of k and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -100*y**4 + 17*y**3 + 1006*y + 1.\nAnswer: -1200*y**2 + 102*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 8*o**2. Let w(b) be the second derivative of 20*b**3\/3 - 2*b - 116. What is w(d(u))?\nAnswer: 320*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*t - 1605 + 1605.\nAnswer: -20*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -5*a + 571, 3*a + 3*h = 157 + 188. Find the common denominator of (-6)\/(288\/a)*-2 and -14\/27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of 1\/20*j**5 - 13\/6*j**3 + 9*j**2 + 5\/6*j**4 - 3*j + 0. Let s be g(-11). Calculate the greatest common divisor of s and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*p + 12*p + 25*p + 294 = 0. Let x(n) = n**2 - 10*n - 25. What is x(p)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -2*h**2\/19 - 2091894*h\/19 + 4183796\/19 = 0.\nAnswer: -1045949, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 233298912 divided by 1576344?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 5*j**2 + j + 6. Let u be (-4)\/(-6) - (-32)\/6. Suppose 5*w = 4*d + 75, -u*d + d + 2*w = 81. Let z be (d\/(-9))\/(1\/(-3)). Give s(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-2))\/(1\/(-1)). Let y(n) = 2*n - 10*n + 11 + 5*n + 5*n. Let r be y(x). Which is smaller: 4 or r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 3)*25\/(-10). Let u be (1\/(-20))\/((-14)\/105). Which is the nearest to -2? (a) u (b) m (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -34*y**2 + 355*y + 452. What is g(12)?\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13.227666198 - -7251913083.227666198. Let z = -7251913215.00000236 + i. Let w = 145 + z. Round w to seven decimal places.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) -0.3 (c) 0.3 (d) -0.027\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 161 + -51. Suppose -199 = -6*y + 65. Calculate the greatest common factor of q and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 523?\nAnswer: -524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/4725 and -61\/225.\nAnswer: 4725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 113062?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s + 3. Let h(l) = 5*l**2 - 53*l + 34. Let g be h(10). Determine u(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.205 * -0.1\nAnswer: -0.0205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/6, -4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*h**2*m*t**3 - 55*h**2*m*t + 2*h**2*t**2 + 25*h*m*t**5 + m*t wrt t.\nAnswer: -36*h**2*m + 1500*h*m*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**3 + 0*p**3 + p**5 + p**5 - 5*p**5 + 2*p**5 + (-2*p**4 - 2*p**4 + 2*p**4)*(2 - 2 + p) + 2*p**5 + 3*p**5 - 3*p**5 - 84*p**5 + 1489*p**3 - 1489*p**3.\nAnswer: -85*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -33. Suppose 0 = 5*s - p + 8 - 14, -2*p = 2. Suppose -o + s = -t. Calculate the remainder when 215 is divided by t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 6*q**2 + 31*q - 21. Let n(a) = a**2 + 3*a - 1. Let v(h) = 4*h**2 + 9*h - 1. Let p(u) = -5*n(u) + v(u). Give 11*p(b) + 2*t(b).\nAnswer: b**2 - 4*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35930768?\nAnswer: 2, 29, 211, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a millennium in months?\nAnswer: 81000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23703 - 11814 + 167*q**3 - 11889.\nAnswer: 167*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 2 - 2)*(2*v**5 + 3*v**5 - 4*v**5).\nAnswer: -12*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3.2*27\nAnswer: 86.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 835 divide 62340265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(2700) + sqrt(27))\/sqrt(9) + 3.\nAnswer: -29*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 787821814.\nAnswer: 2, 13, 19, 521, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2992018217 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11523 by -23.\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/32 - (-723)\/24. Suppose -5*o + 0*o + 5 = 0. Let z be (-31 + o)*6\/(-9). Calculate the highest common divisor of l and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 9:49 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -600 + 598. Sort -0.26, 0.1, h, 4 in decreasing order.\nAnswer: 4, 0.1, -0.26, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*45\/9)\/(-2 - -4) - -15.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -0.2, 27, 0, -0.0575, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-1)\/(6\/(-154)) + (-4)\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 59446466?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 1668 (c) 4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-420) - 0\/(-2))\/((-5)\/7).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) -4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, r: 2}. What is prob of picking 2 r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.2, -74\/3, -1, -2\/7, -103?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2321202672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*m - 75*m - 192 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaanyycmmmak. Give prob of sequence kan.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*s - 2 = 0, -5*s + 5 = -0. Let q be k\/(-9) + 152\/36. Suppose -4*g - 16 = q. Sort -2, g, -9 in decreasing order.\nAnswer: -2, g, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 10\/3*u**2 + 2\/9*u**4 - 2*u + 0 - 14\/9*u**3 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 5047788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 147 - 993564?\nAnswer: -993417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17321, 16479, 15075, 13109, 10581, 7491, 3839?\nAnswer: -375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of 11*b**6\/40 + b**4\/24 + 1702*b**3\/3 - 3*b**2 - 967. Differentiate p(h) with respect to h.\nAnswer: 99*h**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f**12\/f)*f**(-1\/12))**(-8\/13)\/(f**(-1\/8)*f**1\/f*f*f*f**(-2\/13)*f\/(f\/f**(-3))) assuming f is positive.\nAnswer: f**(2143\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 403\/5 or 80?\nAnswer: 403\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*k - 18*k**2 + 17*k**2 - 6*k - 4*k + 1 + k**3 to g*k**3 + j*k + f + s*k**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 10. Let n(j) = w*j + 25 + 1 - 3*j - 4. List the prime factors of n(0).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -421*c**2 + 13*c - 2. Let w(s) = 2529*s**2 - 84*s + 12. What is 13*b(h) + 2*w(h)?\nAnswer: -415*h**2 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-150))\/((-13)\/26)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 8, -2*p - 3*p - 169 = -i. Let s = 39 + p. Solve -4*j + s = -2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1444 and 143580416?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -537448*f + 537464*f - 448 for f.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/30*(-6)\/(-10)*-10\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, o: 2, l: 12}. What is prob of picking 2 o?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**35))**10 assuming y is positive.\nAnswer: y**(-350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19107 and 198.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27603 - 27563. What is the remainder when 2226 is divided by g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/31 = 4124120\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -582397 in ascending order.\nAnswer: -582397, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4493 - 4492. Let k = 65 + -3. Is c at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (766*j**2 - 3 - 396*j**2 - 410*j**2)*(3*j - 4*j - 2*j) to v + a*j + h*j**2 + k*j**3 and give k.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 201433 * 1.3.\nAnswer: 261862.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -1276*u + 5. What is the hundreds digit of c(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*a**3 - 34*a**3 + 32 - 32.\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of -t**8\/112 + 3*t**7\/14 + t**5\/60 - 31*t**3\/6 + 45*t**2. Find the third derivative of u(a) wrt a.\nAnswer: -180*a**2 + 1080*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11223 (base 4) to base 8\nAnswer: -553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**3 + 4*c**2 - 3*c + 922. Let v(n) = 6*n**3 + 11*n**2 - 8*n + 2765. Let h(d) = -8*o(d) + 3*v(d). Is h(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -520231436 and -520231436 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10, 1, -20, -59, -122, -215, -344?\n\"Answer: -v**3 - 2*v + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 156 - 149. What is the highest common divisor of n and 1141?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 t when four letters picked without replacement from {e: 3, r: 1, t: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -154.74 + 157. What is v rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 267 - 196. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -838017120*z**4 - 404410819?\nAnswer: -3352068480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52289, -52290, -52291, -52292, -52293, -52294?\nAnswer: -52295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(0 - 14)*23 - -3. What is the nearest to 0 in -2, 1\/2, k, -2.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1440384 and 4608.\nAnswer: 17284608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*m + 277 + 393 = -14 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 7*d - 38. What is g(7)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**3 + 3*o**3 + 2*o**3)*(-3142*o + 3454*o**2 + 3142*o).\nAnswer: 6908*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 22*m**2 - 89*m - 3. What is the remainder when z(7) is divided by 91?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -51\/659?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f**(2\/11)*f)))**(2\/85)*f\/(f\/(f*f\/f**(-1\/3))*f)*f**6 assuming f is positive.\nAnswer: f**(20648\/2805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1600502922?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((1152\/(-9))\/8)\/(3\/15). Sort 0.01, 4\/9, s.\nAnswer: s, 0.01, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -84*q**2 + 51. Let n(u) = 28*u**2 - 15. Determine 3*j(g) + 8*n(g).\nAnswer: -28*g**2 + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8251 not equal to 8256?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 2*t**2 - 3*t - 2. Let i be l(3). Let g = 1420\/7447 - 6\/677. What is the smallest value in g, -0.3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*(110\/(-20))\/(-11). Suppose -o*g = -f - 33, 3*f = -g - 2*g + 36. Calculate the least common multiple of g and 4.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 58, -5, -1, -132, 2, 5 in descending order.\nAnswer: 58, 5, 2, -1, -5, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1621 + 175069\/108. Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**2 - 14*r + 4. Let c be f(-7). Find the second derivative of -5*u**4 - 20*u - 5*u**4 + 10*u**c + 27*u**5 wrt u.\nAnswer: 540*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.08 + -0.065. Let z = 30 + -29.9877. Let s = z - d. Round s to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2004750300 rounded to the nearest 1000000?\nAnswer: 2005000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2700 and 7650.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*c + 24*c + 12. Suppose 9*d - c*d - 14 = 0. Sort 4, d, -1 in decreasing order.\nAnswer: 4, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5917.977 rounded to the nearest 100?\nAnswer: -5900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/10860 and 145\/1428?\nAnswer: 1292340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 8.174423 decades?\nAnswer: 0.08174423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 66\/13 in -2, -2\/9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p. Let v(d) = -2*d + 42*d**2 + 22*d**2 + 16*d**2 - 19*d**2. Give i(v(u)).\nAnswer: -122*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(255)\/sqrt(5) - sqrt(255)\/(-1*sqrt(5)))\/(sqrt(12)\/(sqrt(96)\/sqrt(6))).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - -4744?\nAnswer: 4744.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -447100.8?\nAnswer: -894201.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 14 - 29 - (-4 + 0).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/8*0)\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10887106 > 10887113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 46295401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3266 - -3380. What is the remainder when n is divided by 87?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32510792?\nAnswer: 2, 1063, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 657549, 2630229, 5918039, 10520979, 16439049, 23672249?\nAnswer: 32220579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 4. Let z(b) = 5*b**2 + b - 2. Suppose -4*r - 14 = 5*v, v - 3*r + 0 = 1. Calculate the remainder when z(v) is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (174\/435)\/((-3)\/5).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.47 - -14.03. Round g to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60723808783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -16119918 divided by 16119918?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1624517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zj when two letters picked without replacement from qqzslqqszztlszzlzjl.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a**3 - 5*a**2 - 5*a + 7. Let g be v(-3). Suppose -3*u + 193 = g. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, i: 2, b: 4, a: 3, x: 1}. What is prob of picking 1 i, 1 x, and 1 q?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -133, 131984 in ascending order.\nAnswer: -133, 5, 131984","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -1471*p - 41. What is the ten thousands digit of d(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 32*g**2 + 30*g - 97. What is j(-33)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1680878 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 23652355419 and 3.89.\nAnswer: 23652355422.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32867 + 58817. Does 126 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*s = -222*s - 259 - 286 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/7 + 10 + -17?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 i when two letters picked without replacement from {v: 1, i: 1, q: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 38.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(475)*3*-3)**2 + (sqrt(190) + ((sqrt(190) + sqrt(190) + sqrt(190)*2 - sqrt(190)) + sqrt(190))*-2)\/sqrt(10)) + 1 + 1.\nAnswer: -7*sqrt(19) + 38477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -132 - -238. List the prime factors of u.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.062? (a) 39\/4 (b) -3 (c) 1 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (138\/184)\/(9\/132)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 37*b + 41. Let x(i) = 147*i + 161. Let c(t) = -23*a(t) + 6*x(t). Suppose -k - 8 = -l, 0 = 2*k + k + 3. Is 30 a factor of c(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*u**2 - 2068 - 3*u**2 + 3*u**3 + 9*u**2 - 25*u.\nAnswer: 3*u**3 - 2*u**2 - 25*u - 2068","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/18 and -145\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1481*q - 2529*q + 4192 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 1252.\nAnswer: 13772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h - 1. Let k be (-1 + 2)\/((-45)\/(-45)). Let t(f) = -3*f + 3. Let o(y) = -y**3 - 4*y**2 + y + 5. Let j be o(-4). Give j*w(b) + k*t(b).\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6151 + 741. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*i**4 + 103*i**3 - 47*i**2 - 103*i + 42 = 0. Calculate i.\nAnswer: -21, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/10 and -45.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 135423, 279268, 423109, 566946?\nAnswer: 710779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*f**3 + 2*f**2 - 2*f**2)*(-7 + 4 + 1)*(20258 - 40505 + 20242 - 351*f) to the form l*f**3 + w*f**2 + d*f**4 + v + u*f and give l.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10765897 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25577833 + -7527833. What is m rounded to the nearest 1000000?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30 - -23) + (-1 - -10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1463 - -1859. What are the prime factors of y?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2*z = -37, 5*y - 16 = 3*y + z. Solve 2*v + y*l + 2 = -0, 0 = 3*v - 4*l + 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -328736*n**3 + 138961 wrt n.\nAnswer: -986208*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(891) - sqrt(891)*3*-4)*3 + sqrt(891) + 3 + 3 + 0 + sqrt(891) + 3)**2.\nAnswer: -37584*sqrt(11) + 47957265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, w: 4, k: 5, g: 5, v: 2, f: 1}. Give prob of picking 1 v and 1 f.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 4*y + 2. Let g be o(3). Let k(b) = 71*b**2. Is k(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**3 + 590905*c**2 - 590905*c**2 - 10*c**3.\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/4))**(-13\/3)\/((f*f**(1\/21)*f*f*f*f)\/f**(-4\/5)) assuming f is positive.\nAnswer: f**(-667\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0036794465 to 6 decimal places.\nAnswer: -0.003679","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l + 25, -11*v = -4*l - 32 + 63 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/6715)\/((-21)\/(-357))\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-7))\/(18\/(-9072)) + -2. Let g = j - 428. Solve -t = -2*t - a - g, 0 = -5*t + 5*a - 20 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 12) to base 13\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23363?\nAnswer: 61, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(-37)*w**16*(w**(-4\/5)\/w)\/w*w**36 assuming w is positive.\nAnswer: w**(66\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -49\/12. Which is greater: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, u: 5, z: 7, i: 4, d: 2}. What is prob of sequence udu?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4026 is divided by 1005?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - (18 + -28 + 0).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((s*s\/((s\/(s*s*((s**5\/s)\/s)\/s))\/s))\/s)\/s*s\/(s**(-2\/3)*s)*s)\/(s*s**(-3)*s**(-2\/9)))**(3\/25))**1 assuming s is positive.\nAnswer: s**(71\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31058.\nAnswer: 2, 53, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -56585520 at most as big as 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 103 - 103. Solve n*q = -2*q - 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a kilogram in grams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 2*q + 10 = -2*b, q + 3*b + 3 = 0. Let r be 88798\/q + (-3)\/9. Round r to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 5*s**5\/4 + 16635*s**4\/4 + 361235*s**3\/2 + 344605*s**2\/2 - 722475*s\/4 - 705845\/4 = 0.\nAnswer: -3283, -43, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 44 = -a. Let x = a - 8. Are x and 14 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -z**6\/120 + z**5\/30 + z**4\/24 - 2*z**3\/3 + 45*z**2. Let y be k(-2). Let g(b) = -b**3 + 10*b**2 + b - 9. Determine g(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 12:59 AM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*a**3 - 12*a**3 - 3*a**3 + 2*a**2 - 2*a**2 - a**3 + (4*a - 2*a + 0*a)*(a**2 + 0*a**2 + a**2) + a**3 + 4*a**3 - 3*a**3.\nAnswer: 14*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 110580889 to the power of 1\/2, to the nearest integer?\nAnswer: 10516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/10 + (-8575)\/1375 + 5 + 8 + -6. Factor 0 + j*v + 30\/11*v**3 + 6\/11*v**5 + 2*v**4 + 18\/11*v**2.\nAnswer: 2*v*(v + 1)**3*(3*v + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20 and 107190.\nAnswer: 2143800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.22134 - 0.016?\nAnswer: -36.23734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -26 in -3, -16\/29, -600?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 35 = -l, 17*k + 6 = 20*k. Solve 0 = 33*d - l*d - 30 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**4 - 2098774*g**2 - 185510496*g?\nAnswer: -24*g**2 - 4197548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 23 = -37. Let d = -684 + 773. Factor -d*t + 105*t - w*t**2 - 8*t**3 + 4*t**3.\nAnswer: -4*t*(t - 1)*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10511 and 1633.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-4\/11))\/(m**(-2\/9)\/m))\/((m**0*m)\/(m\/(m*(m*m**(1\/2))\/m))) assuming m is positive.\nAnswer: m**(71\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -859153 + -7336?\nAnswer: -866489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -17*c**2 - 2*c. What is g(1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3418 is divided by 1692.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(297) + sqrt(33))\/(sqrt(55)\/(-1*sqrt(5))))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -335\/33 - -31\/3. What is the smallest value in 3\/8, q, -4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288 is divided by 145?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -4. Let w(p) = -17*p - 4. Let t(j) = 6*j + 1. Let m(b) = -7*t(b) - 2*w(b). Let r be m(n). Solve 5*x + 8 = -r for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d + 4. Let w be (-1)\/2*(9 + 1). Let x be k(w). Let m = x + 1. Put m, 5, 1 in descending order.\nAnswer: 5, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {l: 8, g: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.6 - 0.1. Let z = 0.56 + -0.26. Which is the second smallest value? (a) z (b) q (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 474?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**3 + 6*x**2 + 6*x + 14. Let l(b) = 3*b**3 + 12*b**2 + 12*b + 27. Let j(u) = -5*d(u) + 3*l(u). Determine j(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 35*b**2 - 4*b + 22. Let v(h) = -11*h**2 + 2*h - 7. Calculate 2*j(r) + 7*v(r).\nAnswer: -7*r**2 + 6*r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23*(-8)\/2576*16.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 69 = -2*h + 5*h, 3*h = w - 35. Put w, 1, -2 in ascending order.\nAnswer: -2, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49569392+6.53\nAnswer: -49569385.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 6*u - 68. Let i = -287897\/40 - -7198. Let s = 1533\/440 - i. Find the common denominator of s and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 - -34. Let l(h) = 6 + 6*h - p*h - 8 - h. Determine l(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 13345?\nAnswer: -13342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -o**4\/12 - 8*o**3\/3 - 13*o**2\/2 + 2*o. List the prime factors of z(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -231 + 236. Solve -m*h + 4 + 11 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2 = 2. Suppose 0 = 3*l + 2*q - 5*q - 27, -2*l - q + 3 = j. Suppose -f + 4 = l. Solve 4*w + 4*x + 20 = 0, f = -4*w + 3*w + 3*x - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dyh when three letters picked without replacement from hydh.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 513 = -927. Suppose -347 = -3*t - 5*h, h = 2*t - u - 96. Suppose -85 = -3*i + 2*z, -4*i + t = z + 2*z. List the prime factors of i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(-1)\/b*b))**(6\/5)\/((b\/(b\/(((b*(b\/(b\/(b**5\/b)))\/b)\/b)\/b*b)))\/(b\/b**(2\/29))) assuming b is positive.\nAnswer: b**(48\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does -34487\/5 = -6897?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u - 1. Calculate g(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/3)\/((-1)\/12*-10*(-31482)\/(-9540))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*t**3 - 48*t**3 - 16*t**3 + 92*t**3.\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -200539.041 + 191270.4429. Let y = -9269 - f. Let v = y + 0.4. Round v to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -721003 * 0.407.\nAnswer: -293448.221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 35 in -0.2, 0, -23, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 194*r + 157. Let x(i) = -65*i - 52. Let j(u) = -4*f(u) - 11*x(u). Differentiate j(s) wrt s.\nAnswer: -61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) -4\/5 (b) -4 (c) -12 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 52 = -2*d, -844*d + 58 = -847*d - 4*a for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3177*z + 3175*z = -10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6377*a + 6049200 - 9842*a + 7699*a + 3*a**2.\nAnswer: 3*(a - 1420)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10, 9, 8, 7, 6?\n\"Answer: -t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 - 9290*k + 14708928.\nAnswer: -2*(k - 1248)*(k + 5893)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 31655699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -273357*j**2. Let o(r) = -r**2. Give o(l(i)).\nAnswer: -74724049449*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.2, -37, -4\/13 in descending order.\nAnswer: 0.5, 0.2, -4\/13, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011101011010100 (base 2) to base 5.\nAnswer: 3012303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 16866*i + 202391. What is j(-12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -20821, -42124, -63431, -84742?\n\"Answer: -2*h**2 - 21297*h + 478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + 11. Suppose 2*l = -2*h - 3*l + 13, -3*l - 9 = 0. Calculate the smallest common multiple of y and h.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144005123.\nAnswer: 19, 479, 15823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -3, 4 in decreasing order.\nAnswer: 4, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -346?\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1849, -3690, -5543, -7414, -9309, -11234, -13195?\n\"Answer: -o**3 - 1834*o - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 51 and 17?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -376533100?\nAnswer: 376533102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 22*x**2 - 23*x - 3. Determine n(-23).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*z = -42*z + 128. Calculate the least common multiple of 56 and z.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from 1.23374316.\nAnswer: 6.23374316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 5*p**2 + 3*p - 8. Is w(5) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -703, -712, -725, -742?\nAnswer: -763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a*a*a**(1\/14)))*a)**(-1\/3) assuming a is positive.\nAnswer: a**(-43\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 10 = -0*d. Let o = d + 0. Let y(u) = u - 1. Let p be (-11)\/9 + (-2)\/(-9). Let n(z) = 2*z**3 - 2*z**2 - z + 2. Give o*y(q) + p*n(q).\nAnswer: -2*q**3 + 2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 17*t - 31. Calculate y(-16).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) - (sqrt(2448) + 1*sqrt(2448)*-4) - sqrt(2448))**2.\nAnswer: 22032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 2:16 AM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.77 + -4.77. Let o = -2.256 + 2.156. Which is the nearest to 0? (a) -15 (b) -2 (c) q (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-9)\/8)\/(6\/(-8)). Sort b, -5, -4.\nAnswer: -5, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.9 and -586.51.\nAnswer: -587.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 589 - 552. What is the greatest common divisor of 629 and n?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -3, 0.2, -2\/13, -25?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(60)\/sqrt(5).\nAnswer: -3 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 - 196*l - 4784.\nAnswer: -2*(l + 46)*(l + 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -104*y - 560 + 560 + 45*y**3 wrt y?\nAnswer: 270*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + d + 2 + (-2*d + 0*d + d)*(17 - 10 + 15).\nAnswer: -21*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3237 is divided by 141?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/3 + 4*q\/3 + 20.\nAnswer: -(q - 10)*(q + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - 915\/60)\/(10\/20).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*w - 44303 = 54*w - 437983. What are the prime factors of w?\nAnswer: 2, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 319*u - 816. What is p(5)?\nAnswer: 779","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -22*g**3 + 11*g**2 + 1713*g + 5. Let x(y) = 40*y**3 - 20*y**2 - 3426*y - 9. Give -11*b(i) - 6*x(i).\nAnswer: 2*i**3 - i**2 + 1713*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + c + 2*c = -72, -5*p + 3*c = -120. Calculate the greatest common divisor of p and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 7*b**3 - 6*b**3 + b + 38 + b**2 - 2*b**3. What is the tens digit of o(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q - 2. Let b(r) be the first derivative of 3*r**2 - 11*r + 13. Determine 2*b(d) - 11*i(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -17638 at most -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-12)*(-5)\/50*4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0*m = -4*z + 2, -4 = 2*m. Does 19 divide 502\/14 + z\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5858 + 5898. What is the highest common divisor of 3110 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + 1 + sqrt(720) + 4)**2 - ((sqrt(105)\/sqrt(3)*-6)\/sqrt(7) - (sqrt(245) + 0 + (sqrt(25)*1)\/sqrt(5))).\nAnswer: 1094*sqrt(5) + 4005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -y**3\/3 - 59*y. Let f(n) = 93*n + 49. Let z(k) = f(k) + 5*i(k). Find the first derivative of z(d) wrt d.\nAnswer: 83","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b - 2*f + 20 = 0, 4*f = -9*b + 5*b + 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -554*u**3 + u**2 + u + 1. Let n be x(-1). Suppose 222 = 2*h + 3*d, d - n = -5*h - d. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -543, -665, -343, 423, 1633, 3287?\nAnswer: 5385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**4\/9 - 8474*n**3 + 305042*n**2\/9 - 42366*n + 152516\/9 = 0.\nAnswer: 1, 2, 38129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -26 + 27a58?\nAnswer: 27a32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.5 - 0.5. Let l = -6 + r. Let f = -2.3 - -2. Which is the third smallest value? (a) l (b) f (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -4*h + 36, -h - 3*g - 2*g = -9. Let t = h + -5. Let w be (-228)\/(-4) + t\/(-2). What is the highest common factor of 22 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10050\/7 - 1436. What is the smallest value in s, -18, -2\/5?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1230 + -1221. Solve j + 4 = h for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -34213546*o*p*y**2 + 3*o*p*y - 72552*p*y - 56*y**2 wrt o?\nAnswer: -34213546*p*y**2 + 3*p*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 71 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1645785*h**2 + 2 - 2 - 26759248*h**2.\nAnswer: -25113463*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (6 - 14)) + 6 - -8.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23789736?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1113, -978, -807, -576, -261, 162?\nAnswer: 717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 3. Let y(a) = a + 5. Let h be y(s). Suppose -h*i = -i. Let c(n) = -n**2 - 6. Calculate c(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, t: 8, v: 5, m: 1, y: 2}. Give prob of sequence vtv.\nAnswer: 80\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 6*o**2 - o + 2. Suppose -4*x = v - 2*x - 20, -x = 3*v - 40. What is the remainder when f(5) is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -c + 7 + 2, 0 = -c - 2*s - 6. Suppose -m - 4*h + 4 = 0, -m = -0*m - 3*h - c. Solve m*x = -9 + 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (3 - -207) + -1 + 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 270101 and 9474312.\nAnswer: 123166056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.165 + 33816.14?\nAnswer: 33901.305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 173391 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 369013355?\nAnswer: 5, 2111, 34961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*w**2)*(-11*w + w**2 + 1 - 7*w + 22*w).\nAnswer: -2*w**4 - 8*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71530838 to the nearest integer?\nAnswer: 8458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 2*(-9)\/(-2))*3. Suppose 2*a - 3*a = -v + 3, -5*v = -2*a - u. Let z be 2 - (a\/(-14) - (-222)\/84). Sort 1\/7, 0.08, z in decreasing order.\nAnswer: 1\/7, 0.08, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-328)\/28)\/(30\/420*(-12)\/(-3)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 908 is divided by 70.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 14 + 0*f - 2*f - f + 0*f. Let q be i(-2). Solve -3*o - 3*v = 2*v + 19, -2*v = -5*o + q for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*u = -34 + 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -345 = -5*v - 2*l + 363, 0 = 3*l + 3. Calculate the least common multiple of 18 and v.\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 17*p**2 + 17*p + 15. Let m be v(-16). Let g(x) = 27*x**2 + x. Let d be g(m). What is the greatest common factor of 39 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4\/387 + 10\/43. What is the closest to 0.3 in 0.4, t, -0.1, 2\/31?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2160 and 486.\nAnswer: 19440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mjmaja. What is prob of sequence ja?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c - 1. Let j be v(-3). Suppose 0*l - r = 3*l - 168, -3*r = -9. Let d = j + l. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (-2 + sqrt(2))) + -1 + sqrt(200)*3.\nAnswer: 1 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 - -36. Find the second derivative of -22*r + 20*r + 31*r**b - 10*r - 16*r wrt r.\nAnswer: 372*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -5*j**3 + j**2 + 2. Let z(x) = x**2 + x + 1. Calculate -k(g) + 2*z(g).\nAnswer: 5*g**3 + g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1776)\/(-1110)*1125\/420.\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 166*n**2 + 6123*n + 41835. What is u(70)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-3)*15\/2. Suppose 1 = 3*x - 2*x. Let r be ((-16)\/k)\/(x\/20). Solve 4*v - 43 + 11 = -4*w, 5*w = -3*v + r for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4020 by 2010.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 10*f**2 + 23*f + 4. Let y(x) = 4*x + 27*x**2 - 26*x**2 - 3*x. Let v(g) = -k(g) - y(g). Factor v(r).\nAnswer: -(r + 2)*(11*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-4\/7)*k))**(1\/39) assuming k is positive.\nAnswer: k**(4\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2056062377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*k*v**3 - 80*k*v + 588370*k + 114*v**3 wrt v.\nAnswer: 15*k*v**2 - 80*k + 342*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 530859194 to the power of 1\/3, to the nearest integer?\nAnswer: 810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8192, 0, 7 in descending order.\nAnswer: 7, 0, -8192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -371270 - -3?\nAnswer: -371268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + 0. Suppose h = -3*a + 6, -3*h + 20 = a + 2. Let v be (r\/(-3))\/(h\/(-9)). Solve -v*o - o = 15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b (base 15) in base 4?\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*b)*(0 - 1 + 3 + (-6 + 4 + 0)*(-1 + 0 + 2) + 0 - 10 + 17 - 3 + 1 + 0) + (-b + 6*b - 3*b)*(0 + 0 - 1).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11013949 or 11013948?\nAnswer: 11013948","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 709, 4995, 16615, 39235, 76521?\n\"Answer: 611*k**3 + k**2 + 6*k + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -19340744, -38681490, -58022236, -77362982?\n\"Answer: -19340746*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54.4 + 353.\nAnswer: 298.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s - 3. Let l be ((-174)\/(-3) - -1) + 2. Suppose -q + 36 = 3*j, 5*q - 2*j = 136 + l. Let m = q + -35. Give b(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**3 + t**2 - 1. Let p be w(-1). Suppose -16 + 4 = -p*d. Suppose d*n = n. Are 0 and n equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**4\/4 + 3*l**3 + 471*l**2\/4 + 105*l - 225 = 0. Calculate l.\nAnswer: -10, -2, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/13 (b) 2 (c) -14.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 1)*((-6 + 2 + 2)*(-3 - t + 3) + 10*t - 5*t - 9*t).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 e when two letters picked without replacement from {e: 7, r: 2, u: 4}.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2952 and -0.14.\nAnswer: -413.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 594 + 1255*h - 22 - 418*h - 14 - 418*h - 417*h.\nAnswer: 2*h + 558","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -760\/11 (b) 1 (c) -4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -5*o + 25100, 19*j - 25076 = -5*o + 20*j. What are the prime factors of o?\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 22*t + 43. Suppose 0*r = -4*r + m + 38, -4*r = -3*m - 42. Suppose -3*k + 30 - r = 0. Is i(k) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 1)*(-4 + 4 - 2*o) - 11*o + 36*o - 14 + 1.\nAnswer: 31*o - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 5:28 AM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1957 - -23509\/12. Find the common denominator of -59\/6 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -361*z + 313*z = -192. Solve 0 = -3*v + v + 5*j + 11, 2*v - z*j - 10 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1531980 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -i**3 + 20*i**2 - 8*i - 45. Let b be l(13). Solve 0 = -3*v + k + 1, -b*v + 1 = -0*k - 2*k for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -0.3, 3, 5\/8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*9542.\nAnswer: 3816.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y**2 + 7*y**2 - 12*y**2 - 16169 + 2*y**3 + 0*y**3.\nAnswer: 2*y**3 + y**2 - 16169","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/(c*c**(-2))*c)**(-2\/3))**35)**(-2\/15))**(-21) assuming c is positive.\nAnswer: c**(-196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1 + sqrt(891) - sqrt(891)) + sqrt(891) + -1*((sqrt(891)*-1 - sqrt(891)) + sqrt(891)).\nAnswer: -3 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of p**5 + 7*p**2\/2 - 1. What is the second derivative of u(v) wrt v?\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + 25\/(-20))*-52. Suppose -20*i - 37 = -2897. Calculate the highest common divisor of i and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*(12\/16 - 0)*(-40)\/(-6)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(4) + -3*sqrt(64))\/sqrt(2))**2 + (5 + (sqrt(40)\/sqrt(72))\/sqrt(10))**2.\nAnswer: -61*sqrt(2)\/3 + 4825\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7963875 and 12375.\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 81.997344 - 83.162. Let g = d - -1.153. Let z = g - -0.0125. Round z to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -924 - -1000. Let k = -357\/5 + d. Which is the closest to -2\/9? (a) -4 (b) k (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 255 divide 199665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70 and 20074460?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 14, -4, -22, -40, -58, -76?\n\"Answer: -18*f + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 628*v**2 + 7*v - 141. Let h(i) = 1257*i**2 + 13*i - 298. Let y(f) = -4*h(f) + 7*j(f). What is the second derivative of y(z) wrt z?\nAnswer: -1264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 6*d - 7. Let x be s(-8). Let n be x*(1\/3 + 0). Solve h + n = 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 4*n + n)*(2 - 2 - 1) + 0*n + 0*n - n + 42 - 12*n - 42.\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -104 - 168 - 51*z**2 - 77*z - 7*z + 27*z**2 + 20*z**2.\nAnswer: -4*(z + 4)*(z + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is db7 (base 14) in base 7?\nAnswer: 10620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-318832)\/(-32) + (-28)\/(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3938875823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nddn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49904391 to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.05 - -29.05. Let z = y + -29.000027. What is z rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4*p - 12 = -14, 5*p = -2*o - 13. What is the highest common divisor of 366 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + ((sqrt(91)*1)\/sqrt(7) + 0 + sqrt(13) + sqrt(13)*-1 + sqrt(13) + 0)**2)*-2.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 50579392537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 21*x**2 - 11*x - 1. Is h(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/27*(-1170)\/(-975).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m + 5. Let l be g(-5). Let i be -3*(-3 - (-15)\/9). Sort -4, l, i.\nAnswer: -4, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/21*(203040\/(-2520))\/(16\/(-14))\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.227456 + -194162\nAnswer: -194162.227456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -377*h - 7*h - 4084 - 28940 for h.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*m**3 - 75*m + 137*m - 71 - 60*m to the form r*m**2 + x*m + c + t*m**3 and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10390384 and 984.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (102\/27 - -1) + 4\/18. Suppose 5*a - l - 252 = a, 0 = 2*a - j*l - 108. Suppose i - a = 273. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from byibqbyiyvviyviviyvq. Give prob of sequence ivib.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 1414 divide 66957786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kvhoovvvlvvll. Give prob of picking 1 v and 1 k.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in decades?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 125*k**2 + 127*k + 192. Calculate t(-126).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - -2)\/((-2)\/4). Suppose 3*j = -m*d + 9, -5*j - 2*d + 15 = 3*d. Suppose -3*b + 7 = -n, -3*b = -7*n + 4*n - 15. Put b, j, 0 in descending order.\nAnswer: j, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 4:20 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3*n - 10 = 0. Suppose -35*w + 18 = -52. Sort 4, n, w, 1 in descending order.\nAnswer: 4, w, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 smaller than 29\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*x + 86*x - 144 = 0 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert dec08 (base 16) to base 4.\nAnswer: 3132300020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**4*s - 96*c**4 + c**3*s + 95*c**3 + c**2*s + 2*c**2 - 72*c*s - 2*s + 126 wrt c?\nAnswer: -48*c*s - 2304*c + 6*s + 570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 65292?\nAnswer: 326460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -5, 7, 2, -11, -4 in decreasing order.\nAnswer: 7, 2, -4, -5, -11, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 339f - -e?\nAnswer: 33ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185753490?\nAnswer: 2, 3, 5, 13, 79, 6029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -44, -27, 0, 37?\n\"Answer: 5*d**2 + 2*d - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 10:53 AM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (36\/(-5))\/(-7*2\/2485) and 66?\nAnswer: 14058","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 1001001?\nAnswer: 1001002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 925578.\nAnswer: -4\/462789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 340 and 539240?\nAnswer: 539240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.066 + -77.934. Let g = d - -78.00033. Round g to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 6 = -3*l + 5*l, -4*q = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4 + ((-5*sqrt(48) - sqrt(3)) + sqrt(18)\/(sqrt(6)*2) - (-6*(0 + sqrt(3)) + 0)) + 2.\nAnswer: -29*sqrt(3)\/2 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -c + 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -8*w**3 - 4*w**2 + 2*w - 2. Let v(s) = 18*s**3 + 8*s**2 - 5*s + 4. What is -5*i(q) - 2*v(q)?\nAnswer: 4*q**3 + 4*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12049 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 104\/119 - 904\/3213. Let a(j) be the first derivative of 0*j + 1\/6*j**4 + 7 + v*j**3 - 1\/3*j**2. Determine f, given that a(f) = 0.\nAnswer: -3, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4123\/(-209) + 19)\/(2\/(-22))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23612 - -24989. Calculate the highest common divisor of 1173 and j.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 314 + -311. Solve -2*g = -h*m - 14, -3*g + 2*m + 3*m = -22 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10)*2)\/sqrt(2) - (5*2*sqrt(5) + sqrt(5)))*1 + (sqrt(40) + 3*sqrt(160)\/sqrt(4))\/(-4*(sqrt(8) - sqrt(128))).\nAnswer: -26*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 34*z**3 + 362*z**2 - 141*z - 92. Calculate i(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 14 = -2*x. Suppose 0 = 2*p + 5 - x. Let q(s) = -4*s + 2. Let g(j) = j + j**2 + 2 - 2*j - 1. What is p*q(h) - 2*g(h)?\nAnswer: -2*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 1)*(-2*r**2 + 81*r**4 + r**4 - 7*r**4).\nAnswer: -75*r**4 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.2 and 4778.\nAnswer: -5733.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2311*r + 2315*r = i - 17, 3*r + 3*i + 24 = 0. Let a(w) = 11 - 4*w**2 + 1 - 6*w - 4. Let m(j) = 6 + 7 - 6 - 5*j - 3*j**2. What is r*a(b) + 6*m(b)?\nAnswer: 2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -db2 + 3?\nAnswer: -dae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21689654*i*l**2 + 15775488*l**2 wrt i.\nAnswer: 21689654*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - 87*a - 1227. Calculate m(-70).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-36*r**2 + 18*r**2 + 33*r**2)*(4*r**2 + 0*r**2 - 2*r**2 + (2*r**2 + 0*r + 0*r)*(1 + 5 - 4)) to x*r**4 + h + l*r**2 + j*r + g*r**3 and give x.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2*5\/(-100)*-130\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 0. Let t be 5 + 1 + g - 2. Suppose -29 = -3*j - x, -t*x + 4 = 2*j - 12. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -77511, -91, -19 in descending order.\nAnswer: -19, -91, -77511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (56\/(-84))\/(6\/45)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1247, 7645, 25009, 58823, 114571, 197737?\n\"Answer: 914*p**3 - p**2 + 3*p + 331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 (base 6) in base 5?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 149881949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of 1\/336*u**8 + u**2 + 0 + 0*u**5 + 0*u**6 + 0*u**3 + 0*u - 1\/6*u**4 + 0*u**7. What is the second derivative of f(c) wrt c?\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1121 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*k + 159*k - 709*k**2 + 199*k - 167*k**2 - 278*k**2 wrt k.\nAnswer: -2308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -102.3 - -95. Let q = 3.4 + r. Let b = 0.1 - q. Sort -1, b, 0.5 in descending order.\nAnswer: b, 0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -1, -23 in decreasing order.\nAnswer: 9, -1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/2088 and 55\/2712?\nAnswer: 235944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -119057*s + 39682*s + 39669*s + 39655*s - 19 in the form a*s + d and give a.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -13*c - 5. Suppose a = 3*y - 1397, c*y - 12*a = -11*a + 1861. Does 16 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/3 - 1978*x\/3 + 3932.\nAnswer: 2*(x - 983)*(x - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 332 a factor of 4804065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 742205122?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30896.983673 + 30897. Round n to 3 dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -844, -1679, -2516, -3355?\nAnswer: -4196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 17, d: 1}. What is prob of picking 3 h?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - (-2 - 27))*(-13)\/(-39). Let h(w) = -o*w - 10 + w + 41. What are the prime factors of h(-5)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 527 + -281. Let r be ((-4)\/(-6))\/(1\/(-3)). Is r\/(-4)*x\/3 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of t**5\/15 + t**4\/3 + t**3\/3 + t**2 + 5. Let l(k) = -8*k + k**2 + 5*k + 4*k. Give 6*l(j) - x(j).\nAnswer: 2*j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 88836.72 tonnes in micrograms?\nAnswer: 88836720000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -145, -564, -1267, -2260, -3549, -5140?\nAnswer: -7039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 94 + t**4 + 21*t + 77 - 14*t - 9*t in the form r + z*t**4 + u*t**2 + w*t**3 + g*t and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2057) + 2 + 0 - (1 + sqrt(272) + 0 - 4*(sqrt(272) + 0 + sqrt(272) + sqrt(272)))**2)*5.\nAnswer: -164560 + 495*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 + 60*m**2 - 232*m - 288.\nAnswer: 4*(m - 4)*(m + 1)*(m + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/10 (b) -51\/2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45 + 34*l**2 + 41 + 0*l**2 - 2*l wrt l?\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3 + 3)*(b - b + b) - 12 + 16 - 4*b + 2*b)*(2*b - b - 2*b).\nAnswer: b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 x when four letters picked without replacement from {a: 5, x: 4, p: 3, v: 3, s: 4}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39\/16, 4, 7.\nAnswer: 39\/16, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -531.6 + 530.9338. Let r = g - -0.368. Let m = r + 0.3. What is m rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) -2 (b) 1\/6 (c) 0.2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000732398 to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -2*j + 83, 0 = j - 3*d - 26 - 10. Let r be (-6)\/j + 3108\/91 + -4. Solve -r = -3*c + 5*t, -2*t = 5*c + 2 - 21 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -456*t**3 - 245*t**2 + 4059*t + 4057*t - 8116*t wrt t.\nAnswer: -2736","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-64)\/9)\/(-16)*63\/2. Let g be (-6 - 1)*-1*1. Let u = 3 + g. Solve u = -4*a - o - 4, -a - f = -5*o for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**3 - 2*f**3 + 2*f**3)*(894 - 894 + 11*f).\nAnswer: -44*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3268 divided by -1441\nAnswer: -3268\/1441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -19.0421*-0.1\nAnswer: 1.90421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*z - 422 + 422 + (z + 2 - 2)*(-3 + 0 + 2) + 2 - 2*z - 2)*(-7*z - 6*z + 9*z) + 2*z - 2*z - 2*z**2.\nAnswer: 126*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2701567070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 24542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*k - 94*k - 216*k - k**2 as d*k**2 + r + h*k and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 183*b + 141*b + 191*b - 53*b + 4 + 60. What is the hundreds digit of z(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -11*z**2 + 2*z + 2. Let m(g) = -g + 2 + 6*g**2 - 4 + 1. Let b(f) = f**3 - 2*f. Let s be b(2). Calculate s*j(k) + 7*m(k).\nAnswer: -2*k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31682486?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -255 - -72?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -14441 - 245576136\nAnswer: -245590577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16056 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*s - 5 = 4, -d - 15 = -5*s. Suppose 3*h = -u - 2*h + 146, d = u + 4*h - 149. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6500.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -p + 4192 - 3905, 21*h + 14*p + 1526 = 0 for h.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11137 by 37.\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 7*y**2 - 6*y. Let j be p(-6). Suppose j = -2*m + 3 + 3. Suppose 4 = r - m. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**2 - 72*s - 8. Calculate the remainder when b(-35) is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 54*u - 30. Calculate g(2).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/2840 and 37\/440.\nAnswer: 31240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**3 + 17*i**2 - 15*i - 23. Let j(f) = f**3 + 9*f**2 - 8*f - 13. Let z(r) = -4*b(r) + 7*j(r). What is z(-4)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -222187 - -222189. Let g(q) = q**3 - 4*q**2 - 8*q - 2. Let m be g(6). Solve k*j = 22 - m for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1377, -2748, -4119, -5490?\nAnswer: -6861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5155, -13978, -26463, -42610, -62419, -85890, -113023?\nAnswer: -143818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7655.012 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 862516858.\nAnswer: 2, 7, 61608347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 62*c = -69*c + 21, 3 = u + c for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a minute in milliseconds?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 6*o**2 + 12*o - 11. Let q(n) = -n**3 + 5*n**2 + 9*n - 10. Determine -4*q(d) + 3*v(d).\nAnswer: d**3 - 2*d**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16702?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 2)*(3*q + 0*q - q + (-4 + 2 + 1)*(q + q - q))*(20*q**4 - 8*q**4 - 15*q**4).\nAnswer: 6*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -6*j - j**2 + 22*j - 16*j. Let w(c) = -8*c + 2*c + 3*c - 2*c. Calculate w(r(a)).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*y - 12*g - 7 = 15*y + 7*y + 40, 0 = -5*y - 4*g - 49 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5450 is divided by 54?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (2 - 6 - -2) - 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10213 is divided by 1134?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 963*b - 975*b + 4 = -2*r, 3 = -5*b + 2*r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -5*j - 3*g + 8, -5*g = 4*j - 25 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -8, 3 in ascending order.\nAnswer: -30, -8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b + 3. Let m(y) = y**2 + 28*y - 58. Let n be m(-30). Suppose 3*c + c - 32 = 4*o, n*o = -6. Let t(g) = -4*g - 3. What is c*d(r) + 4*t(r)?\nAnswer: -r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 890, 899, 908, 917, 926, 935?\nAnswer: 944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 512136\/28320 + -18 + 2\/(-40)\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31693 + 32856 + 8237 = 1997*p + 6885 for p.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34056*q - 20186*q - 336*q**2 - 4*q**3 - 20926*q.\nAnswer: -4*q*(q + 42)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20620 = 6*q - 12380. What is q rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.93183 times -0.306\nAnswer: -0.28513998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3587278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - c - 41, -6*c = -c + 10. Suppose 0 = z + 21 + h. What are the prime factors of (-30)\/255 + (-1398)\/z?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 6 = f + 2, 9 = 3*f - p for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*k = -18*k + 284 - 39. Let l(h) = -h**3 + 2*h + 2. Let b(c) = -2*c**3 - c**2 + 4*c + 5. Determine k*l(a) + 2*b(a).\nAnswer: a**3 - 2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5*z = 17, 0 = -2*z - z + 15. Sort 4, x, -3 in decreasing order.\nAnswer: x, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28156?\nAnswer: 2, 7039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -92 - -272\/3. What is the second biggest value in -1, -5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13978, -14038, -14124, -14248, -14422, -14658, -14968?\nAnswer: -15364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 869 - 745. What is the remainder when 615 is divided by c?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**4 + 78060*c**3 + 312288*c**2.\nAnswer: -3*c**2*(c - 26024)*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 254.6091 milliseconds to hours.\nAnswer: 0.00007072475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -77*h. Suppose 16*k - 19*k - 93 = 0. Let d = k - -33. Let i(x) = 0*x**2 - x**d - 3*x**2 + 2*x**2. Give z(i(s)).\nAnswer: 154*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -212021 (base 3) to base 9\nAnswer: -767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 3:23 AM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -10*v**2 - 4*v - 11. Let u(j) = 20*j**2 + 7*j + 23. Let c(t) = -7*h(t) - 3*u(t). Is c(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4*p - 5 + 4)*(-3 + 3 - 4*p**3) + (4*p**2 + 2*p**2 - 4*p**2)*(-2*p**2 + 0 + 0).\nAnswer: -20*p**4 - 4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33472908 to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 10 + 6 = 0. Let i = h + 9. What is the greatest common factor of 3 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -36*o**3 + 2*o**2 + 353*o + 701. Determine w(-2).\nAnswer: 291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 346, 442, 536, 628, 718, 806, 892?\n\"Answer: -m**2 + 99*m + 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**3 + l**3 - 4*l**3)*(-1 + 1 + 2*l) + 3*l**4 + l**4 - 6*l**4 + (-5*l**2 - 14*l**2 + 7*l**2)*(2 - 2 + l)*(l + 0*l + l).\nAnswer: -30*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11893 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2, -3, 1, 36 in decreasing order.\nAnswer: 36, 7, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -801303.59597694 and 0.03.\nAnswer: -801303.56597694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 916 a factor of 1259464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.76 times 0.1?\nAnswer: 6.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 232\/89 equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43959 by -14653.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 18981.973 to the nearest one thousand.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7961, 31923, 71859, 127769, 199653?\n\"Answer: 7987*n**2 + n - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 45 - 8*n - 105 + 50. Let o(a) = 7*a**2. Calculate o(y(u)).\nAnswer: 448*u**2 + 1120*u + 700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 + -11 - 7) + (-4 - (6 - 12))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*i**4 + 5*i**6 - 14*i**2 - i**4 + 4*i**4 wrt i.\nAnswer: 600*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -205 - -375\/2. Calculate the common denominator of (-9)\/(-3) - 16 - 1 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 3:20 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 225 or 240?\nAnswer: 240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1644\/(-16)*(-20)\/3.\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 1113?\nAnswer: 1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-38 + -1137)\/(-47).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*c**2*m + 54*c**2*y**2 - c**2 + 14*c*m*y**3 + 2*c - 83 wrt y?\nAnswer: 108*c**2*y + 42*c*m*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -422 >= -420?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010010010001111111001111 - 0?\nAnswer: -11010010010001111111001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g - 8. Let y be q(-9). Sort -1\/2, y, -3.\nAnswer: -3, -1\/2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -793.71 and -0.4.\nAnswer: 317.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -17. Let c = -7 + y. Let i = 1 - c. Sort i, 2\/5, 0.1 in ascending order.\nAnswer: 0.1, 2\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + y**2 - 5*y + 3. Let f be i(4). Put 2, f, -2\/7 in increasing order.\nAnswer: f, -2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-27)\/(-15)) - 590\/4248?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -5. Suppose x = 2 + q. Let l(v) = -v + 58. Let h be l(46). Solve x*b = c - 15, -c + 2 = b + h for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -14. Let s be (-1442)\/(-20) + (-1106)\/(-140) + -8. Let l(k) = s*k - 36*k - 38*k - o. Give l(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30\/12)\/(((-78)\/(-36))\/13)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -26280 + -4?\nAnswer: -26284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-2))\/((-72)\/6*-1).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (3*52\/(-6))\/(12\/(-6)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -5*m + 35, 0*q = -5*q - 20. Calculate the least common multiple of m and 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -167*l**2 + 3*l. Let u(k) = k**2. Determine v(u(h)).\nAnswer: -167*h**4 + 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 1120?\nAnswer: 1118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 - 40.4. Let h = d + -0.6. What is the closest to h in -4, 3, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 299*c - 18897. Determine k(-62).\nAnswer: 3485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + k - 2)*(9*k**4 - k**4 - 2*k**4) - 2*k**5 - 4*k**5 + 4*k**5.\nAnswer: 4*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 0*x + 3*x - 18 = 0, -3*a - x - 34 = 0. Let s(j) be the third derivative of j**4\/24 + j**3 + 2*j**2 - 248*j. What is s(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 5*x**2 + 3*x + 4. Let f be j(4). Suppose 0 = -3*a - 3*a + 42. Suppose 2*g - z = 10, 5*g - z - a = 15. Solve -t + 3*t + g = f for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 498646065?\nAnswer: 3, 5, 33243071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2937*z - 5867*z + 2931*z + g + 9 = -2*g, 6 + 6 = -4*g for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23026?\nAnswer: 2, 29, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r**3 - r**2 + 8*r + 6. Let o be w(-4). Let n = -53 + o. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*d = 31 + 45. Is 6 a factor of (d + 143\/(-22))\/(1\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*r - 320*r + 162*r + 5*f = -98, -f - 4 = -4*r + 12*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12\/15)\/(4\/(-10)). Let k be 302\/18 + o\/(-9). Let t = -2498 + 2501. Solve 0*r - 23 = -t*p - 2*r, -2*r - k = -5*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 5*w - 60 = 0, 368*w - 706*w = -2*x - 339*w - 12 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/488 and -42\/175009?\nAnswer: 1400072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1116*g + 596*g + 593*g - 146. Factor 54\/7*j - 3\/7*j**g + 120\/7.\nAnswer: -3*(j - 20)*(j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88153 is divided by 117.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (10 - 13 - -29).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16678 = -4*n + w, 5*n + w - 16674 = n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 - -21) + 45 - 87.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29886457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 144060681 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3099*l**6 + 40686*l**3 - 3*l**2 - 6*l + 2246440 wrt l?\nAnswer: 371880*l**3 + 244116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 10, x: 3, r: 1, a: 3, u: 2}. Give prob of sequence ixi.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/376 and 43\/56.\nAnswer: 2632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/5)\/(2\/(-5)). Suppose -l*u + 0 = -10. Let t be 0*(-6 + (-1 - 0)\/(2\/(-14))). Sort -2, u, t in descending order.\nAnswer: u, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeb when three letters picked without replacement from emebms.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + (-17 - (-24 - (-22 - 3)))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m + 5*w + 1, -3*m - 26*w = -21*w - 14 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m. Let n(c) = -3*c**2 - 2*c. Let x(s) = -20*s**2 - 15*s. Let t(p) = 15*n(p) - 2*x(p). Give t(r(a)).\nAnswer: -45*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 + 8*d - 10. Let j(s) = -s**2 - s + 1. Let g(z) = a(z) + 5*j(z). Let x(h) = 13*h**2 - 11*h + 19. Let o(m) = -9*g(m) - 2*x(m). What is o(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 853900.65 nanoseconds in days?\nAnswer: 0.000000009883109375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 288 and 19044.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 6*r**3 - 133*r**2 - 1688*r + 8336. Give f(30).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 44 - 153 = -3*y, -l = -5*y + 199. What is the remainder when y is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 9:38 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2022519, -2022541, -2022561, -2022579, -2022595, -2022609?\nAnswer: -2022621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.02 - 1.72. Let r = -6090218 - -6090216.3000069. Let d = l - r. Round d to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7381567\/672 - 32954\/3. Calculate the common denominator of 50\/7 and b.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 738852?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 7. Suppose 3*h + h + 5*t = -3105, -2*h - 1566 = -m*t. Round h to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 30265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -15. Let y = 19 - o. Solve -15 = y*t - 0*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 11*t**2 + 3*t + 30. Suppose 11*c = 6*c - 55. Let j be x(c). Suppose 4*r + 8 + 0 = 0. What is the nearest to -0.1 in j, r, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-52)\/24)\/(186\/279)*8\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -176 + 179. What is the second biggest value in -15, 1\/3, t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -182, -362, -540, -716, -890?\nAnswer: -1062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/47, 3, 5, 0.28, 0.4?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, -29, 2001, -4, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*g - 9*g**5 + 11*g**5 - 5*g**5 wrt g.\nAnswer: -60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1484979 (base 10) in base 2?\nAnswer: 101101010100010110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.15695 centimeters to meters.\nAnswer: 0.0415695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10031 (base 4) to base 2.\nAnswer: 100001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, -5, -10, 11.\nAnswer: -10, -5, 1, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4943539 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 3*b - 2. Let q = 10 - 7. Suppose 3*i + 0*j = q*j + 24, -2*j = -3*i + 20. Let t be h(i). Does 2 = t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2526 + 3373. Is s a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 minus -5352800.0419?\nAnswer: 5352801.4419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*q - 9 + 7*q + 6*q.\nAnswer: 39*q - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -134*n**6\/15 + 3*n**5\/20 - 886*n**3\/3 - 3469*n. Find the second derivative of v(t) wrt t.\nAnswer: -3216*t**2 + 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90490 (base 11) to base 3.\nAnswer: 20201112221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 29372, 117522, 264490, 470318, 735048, 1058722, 1441382, 1883070?\n\"Answer: 7*m**3 + 29367*m**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -6\/120195887?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 166a + -3?\nAnswer: 1667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2*u - 8 = 0, -2*x - 5*u + 20 = -3*x. Suppose -3*v - 70 = -4*r + 42, -2*r + 5*v + 56 = x. Calculate the highest common divisor of r and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/13)\/(u*(u\/(u*u**18))\/u*u*u))\/((u**7\/u)\/((u*u*u**21)\/u)))**(-45) assuming u is positive.\nAnswer: u**(-18765\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 980 = -2*v. Suppose 4*b - 3*b - v = 0. Does 14 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1370 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + -4)\/(-2 - -1). Solve 4*o = p + 17 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.08 (b) 3.052 (c) -182\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -2*n - 6, -11*n + 4*p = -9*n + 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -71, -73, -75?\n\"Answer: -2*f - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 7*l - 20. Suppose -5*g + 25 = -0*g. Suppose g = 5*d - 5. Solve d*k - 6*k - 3*i = -1, k - l = 4*i for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2440055 and -1\/2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-3)\/414*-22))\/((-26)\/(-286))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 6) to base 10\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 695627801 is divided by 458.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*n = -19458 + 19248. What is the third smallest value in 71, 0.2, n, -1\/4, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -5*o + 25, z + 6 - 17 = -3*o. Which is the nearest to -3? (a) 16 (b) -0.5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 25825194 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69 + 138168*d**2 - 69.\nAnswer: 138168*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -20*b - 39. Let o be m(19). Let s = o + 424. Solve -12 = -4*y + 2*r, s - 16 = -3*y + r for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uvz when three letters picked without replacement from vuzzuvuvzzuuvuzuuuu.\nAnswer: 100\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 45 + 648aa?\nAnswer: 64944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)*2*1.\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 10:12 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/112 and -75\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 11) + (7 - 0 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + -2 - -7 - 8\/(-2). Calculate the highest common divisor of c and 126.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m - 2*m + m)*(-1 + 2 - 2)*(m - 3*m - m)*(-2*m - 5*m + 3*m) in the form b*m + k + v*m**2 + u*m**3 and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of 29*f**4\/24 - 3*f**2. Let t(k) = k + 1. Let g(s) = 2*s + 3. Let b(x) = g(x) - 3*t(x). Determine b(j(a)).\nAnswer: -29*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, -0.07, -0.5 in decreasing order.\nAnswer: 0.05, -0.07, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*v - 14*v + 10*v**3 + 9*v - 11*v.\nAnswer: 10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56 + -51. Suppose -8*q = -j*q - 54. What is the smallest common multiple of 14 and q?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -180, -85, 158, 549, 1088, 1775?\n\"Answer: 74*i**2 - 127*i - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 108*k + 103971. Calculate i(273).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*j = -54*j + 1392. Let d = j - -1693. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 10.27 (c) -0.05 (d) 1075\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -73611948?\nAnswer: 73611947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -1c?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 758.32+-178.3\nAnswer: 580.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93139133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*m = 5. Suppose m*d = 9*d - k - 50603, 2*d + 3*k - 25305 = 0. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/((sqrt(10) + 1*sqrt(10))*5)*6*5)**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8799052387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 349, 1171, 2769, 5401, 9325?\nAnswer: 14799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -690 or -687?\nAnswer: -690","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -525, -5, -3174?\nAnswer: -525","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.4, 1, 11\/68 in descending order.\nAnswer: 4, 1, 0.4, 11\/68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 5:32 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 1193*n**2 - 1775*n - 14. Let a(i) = -796*i**2 + 1184*i + 10. Let r(h) = 7*a(h) + 5*v(h). Find the second derivative of r(j) wrt j.\nAnswer: 786","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.19, -125, 1\/4, 0, -1, -0.1?\nAnswer: -125","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, l: 2, s: 2, y: 8, o: 4}. What is prob of sequence lkso?\nAnswer: 1\/3570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*k - k + 67*k to x + r*k and give r.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20373 and 73?\nAnswer: 1487229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 157 = 4*t, -3*y + 100 + 103 = 5*t. Let u = -26 + t. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2654 (base 10) to base 8.\nAnswer: -5136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than or equal to -48944944?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4\/8125 + 95851\/48750. Calculate the common denominator of -45\/22 and z.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 465156 and 1416.\nAnswer: 930312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*j + 0*j**3 - 5*j + 4*j**3 to t*j**2 + z*j**3 + o + m*j and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b + 8. Let l(g) = 8*g - 24. Let h(i) = -4*l(i) - 11*s(i). Let d be h(-6). Let t be (2\/6*0)\/d. Solve -4*f - 5 - 7 = t for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 3174 = 4*c + 2994, 3*c + 36*h = 1587 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**4\/4 - 5*x**3\/4 + 291*x**2\/4 + 2893*x\/4 + 2299\/2 = 0. What is x?\nAnswer: -11, -2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 10:42 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 555 = 5*a, -4*u = -4*a + 2*a + 224. Suppose 39*j = 34*j + a. Let q = 1 - -5. What is the remainder when j is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 9, 2*f = -4*r + 3 - 25. Let p be (6\/r)\/3*6. Sort -2, p, -4.\nAnswer: -4, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2 + (sqrt(17) - sqrt(68)\/(1*sqrt(4))))**2*-4.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*q**3*v**3 + 2*q**3*v**2 - 86*q**2*v**3 - q*v**3 - 2*v**2 - 12*v + 2 wrt v?\nAnswer: -18*q**3 - 516*q**2 - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*1062\nAnswer: 318.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/31057 and -1\/35835.\nAnswer: 465855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 306464 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 29.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6639 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -q**5\/2 + 5*q**2 + 13*q. What is the first derivative of b(c) wrt c?\nAnswer: -30*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56 - 50. Solve 4 = 4*l, y + 3*l - 2 - u = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63 + -48.8. Let p = j + 13. Round p to zero dps.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - s = -3*s - 504, 0 = -5*m - 5*s + 2460. What are the prime factors of m?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kpp when three letters picked without replacement from pekvveekkkvkekkevp.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 5*j - 9728, -7794 = -5*j + j - 5*h. Is (j\/4 + -1)*2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of x**3\/6 - x**2\/2 - 157*x + 1. Let o(k) = -13*k + 8. What is -6*j(s) - o(s)?\nAnswer: 7*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9888 and 416?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 3*a - 2*a)*(3*a**3 - 3*a**3 + 2*a**3 + (3*a - a - 3*a)*(-2 - a**2 + 2) - 32 + 32 - 11*a**3).\nAnswer: 16*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -54 + -33 - (-1 - 17)\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i + 7. Calculate f(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/6)\/((-2)\/6). Let y be (k + (-159)\/(-6))*6. Find the common denominator of -63\/10 and -2*y\/12 + 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-11)*(-2)\/2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r = -14720 - 21303. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-21))\/(1\/((-18)\/(-6)))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/32*(-1)\/((-2)\/(-2)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -da94 (base 14) to base 10\nAnswer: -37762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 81?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h + 0*h - h - 4*h. Let q(b) = -3*b. Give q(j(d)).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2301001333 (base 5) to base 7.\nAnswer: -61204135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -87764 by -74.\nAnswer: 1186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -4112 and -1294 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 24\/5*k**4 + 18\/5*k**2 + 0*k + 39\/5*k**3 + 3\/5*k**5 = 0. Calculate k.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*i**4*s**3*v + i**2*s*v + 4*i*s**3*v + 2*i*v + i + 15*s**3 wrt i?\nAnswer: 84*i**2*s**3*v + 2*s*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(-6)*-1 + (-3910)\/(-20). Suppose 606 = 2*j + 2*y - n, -788 = -2*j + y. Is j a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -561 - 789 = -6*h. Let s be ((-3)\/36)\/((h\/40)\/9). Let f be 1\/(10\/8)*5. Which is smaller: f or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**5\/19 - 14*o**4 + 810*o**3\/19 - 814*o**2\/19 + 272*o\/19.\nAnswer: -2*o*(o - 1)**3*(o + 136)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*u + 88 - 672 = 3061 for u.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 4844265.58 to the nearest 10000.\nAnswer: 4840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-5))\/((56\/350)\/(-4))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -627050 greater than or equal to 0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -17*z + 16. Is 16 a factor of o(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(2*t - 12*t + 6*t) + (-t + t - 2*t)*(5 - 3 + 1).\nAnswer: -14*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 97\/(6\/6 + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -560 (base 13) in base 10?\nAnswer: -923","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sd when two letters picked without replacement from scdsedsdsc?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 + -77. Let b = -41.9 - u. Let x = 0.7 - b. What is x rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 172b8 - 4?\nAnswer: 172b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -4165*o + 4165*o - 19 + 3*o**2 as k*o + p*o**2 + b and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1372 - 0.14343. Round d to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 7 (c) -17 (d) 3 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**4 - a**4 + 3*a**4)*(4*a - 6*a + a) + a - a - a**5 + (3*a**4 + 25 - 25)*(-32*a + 51*a + 72*a).\nAnswer: 271*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -25.4 + 8.4. Let r = -24.5802828 - -7.58028204. Let k = f - r. What is k rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/((-560)\/(-96)) + (-150)\/69. Are u and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(46\/23 - (1 - -15)). Which is the nearest to 0.2? (a) w (b) -1\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {c: 11, r: 1, o: 3}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -35, 2, 57\/5, 0.3, 1\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -6200619 bigger than -6200621?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 474 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.16 and -419872.\nAnswer: 67179.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3812129 or -4?\nAnswer: 3812129","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -321, -21, -5, 7 in decreasing order.\nAnswer: 7, -2, -5, -21, -321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1798722815 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -18674, -37344, -56014?\n\"Answer: -18670*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -95, 206\/7, 1\/4, 4?\nAnswer: 206\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g**3 - 2*g**3 - g**3.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 159160 + -113413. List the prime factors of i.\nAnswer: 3, 13, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 13 - 17*j**2 - 10 + 0*j**2 + 4*j**2 + 13*j**3. Let q(o) = 13*o**3 - 12*o**2 + 2. Let r(a) = 2*g(a) - 3*q(a). Find the third derivative of r(k) wrt k.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**3 + 2*f**2 + 11732 - 3*f**2 - 52892.\nAnswer: -2*f**3 - f**2 - 41160","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -336878, -1347395, -3031590, -5389463, -8421014, -12126243?\nAnswer: -16505150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -2698*a + 2697*a - 20, -a + 25*m - 7*m - 85 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -679 + 2559 = 94*p for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -6. What is the units digit of (-6)\/(-4) + (-1)\/n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 9:44 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52 + 61. What is the third derivative of -3*t**2 - o*t**6 - 2*t**2 + t**2 wrt t?\nAnswer: -1080*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33920091, 67840180, 101760255, 135680310, 169600339, 203520336, 237440295?\nAnswer: 271360210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 692814 divided by -10\nAnswer: -346407\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36336.33 or 0.19?\nAnswer: -36336.33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 17*r + 76. Let z be i(-5). Let g(q) = q**2 + 12*q + 11. What is g(z)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 24 = 2*d. Let o(g) = -13*g + 4 + 4*g**2 + 3*g**2 + 15*g. Suppose 30*k + 214 - 59 = -175. Let z(w) = 4*w**2 + w + 2. What is d*o(b) + k*z(b)?\nAnswer: -2*b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6 + 108\/4)*(-4 - 91\/(-21)). Solve 121*k + l = 120*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 3*z**2 - 3*z - 3. Suppose k - 1 = 8. Calculate the remainder when k is divided by m(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeggg. Give prob of picking 2 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*i = 20. Let m = 7 + -13. Let u = i - m. Let q(l) = 2*l**2 - 3*l + 1. Calculate q(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6392 - 6346) + (3 - -4) + 0 + 4\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/((l**(-6)*l*l)\/l))\/l**(1\/29))\/(l**(-4))**(-5\/17))**(3\/8) assuming l is positive.\nAnswer: l**(7083\/3944)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 + -38. Let x = -1410757593 + 1410757534.0000031. Let d = x - t. What is d rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3\/1595, 0.5, -4\/7, -33, 0.2 in increasing order.\nAnswer: -33, -4\/7, 3\/1595, 0.2, 0.5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-11\/5)*(m*m**(-20))\/m*(m\/m**(-3\/17))**(-20\/3) assuming m is positive.\nAnswer: m**(-7661\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 i when two letters picked without replacement from {v: 1, c: 2, i: 1, u: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-18)*(-35)\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181066?\nAnswer: 2, 90533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (49\/(-5) - -9)\/(4\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**1*y**(2\/11))**(-2\/69))**47)**(-1\/9) assuming y is positive.\nAnswer: y**(1222\/6831)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 142*s**2 - 141*s**2 - 9*s - 8 + 0. Let c be -1 - 0 - -3*4. List the prime factors of d(c).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/2999164 and -95\/1032?\nAnswer: 17994984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -25, -13, 3, 2, -4, 105 in descending order.\nAnswer: 105, 3, 2, -2, -4, -13, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 901 - 56?\nAnswer: 8ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zbzb when four letters picked without replacement from {o: 1, p: 4, b: 4, z: 2}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2798878018.\nAnswer: 2, 2851, 490859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87853909.\nAnswer: 11, 13, 17, 71, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d + 152 - 296 + 144.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -547\/29 != -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 205856 and 24.\nAnswer: 617568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (((0\/2)\/(-10))\/1)\/(-6). Let r(z) be the first derivative of 13 + b*z - 4\/35*z**5 + 1\/2*z**4 + 2\/7*z**2 - 2\/3*z**3. Solve r(q) = 0 for q.\nAnswer: 0, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 182 - 65. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 13940.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*q = -44*q + 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212305048.\nAnswer: 2, 563, 47137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -201 - -207. Is (6 - (n - -4197))\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69599225 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 5*m**2 + 4*m - 1. Let i = 6 + -8. Let q be y(i). Suppose 0 = 2*j - q*d - 144, 3*d = -5*j + 179 + 160. Is 23 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + x**2 + 24*x - 33. Determine r(6).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7059*r - 180104 = 3227*r for r.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 81678999 to the power of 1\/2, to the nearest integer?\nAnswer: 9038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a - 29. Let i be m(-19). Let c(b) = -b + 12. Let t be c(i). Suppose -4*n + 5*l = 2*l - 677, 2*n - 337 = t*l. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**4 + 22*c**2 + 36*c + 16 = 0.\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m. Let t(v) = -5*v - 73. What is -t(g) + 4*z(g)?\nAnswer: g + 73","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -0*j + 15. Suppose 3*b = -0*b - j*f + 6, 3*b - 6 = -4*f. Suppose 0 = -6*m + m + 100. What is the lowest common multiple of m and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 18175836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 39069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*(3\/6)\/1. Let m = -252 - -257. Suppose 45 = -k*c + m*c. What is the greatest common factor of c and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13650 by 13.\nAnswer: -1050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2*sqrt(208) + 0 + (sqrt(208) - (0 + sqrt(208) - sqrt(208))) + 4 + (sqrt(208) - (sqrt(208) + 2)*-1)*6))**2.\nAnswer: 12672*sqrt(13) + 228816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v + 0*v + 4*v + (-3 + 1 + 0)*(v - 4*v + v) - 758*v - 1084*v + 1414*v + 0*v + 2*v - 4*v in the form j*v + h and give j.\nAnswer: -425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13032162.09159577 + 13032162. Let a = d + 0.0916. What is a rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1476 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 1023?\nAnswer: -1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10866\/3175 + -741779\/3829050. Let r = -648\/67 - h. What is the common denominator of r and 41\/170?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -23, -30, -21, 10, 69, 162?\nAnswer: 295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 2 j, and 1 v when four letters picked without replacement from {l: 1, e: 1, j: 2, v: 4, u: 2}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/4)\/(12\/6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(448)*3*5 - (sqrt(448) - (sqrt(448) + -3))*4) + 5)*-6)**2.\nAnswer: -60480*sqrt(7) + 3630564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4*z + 88. Let a be r(21). Suppose 0 = -d + a*n + 22763, 91038 = 6*d - 2*d - 2*n. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46913 and 35776.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/5 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 259141308?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1357235799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 188\/53?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2605460 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -11021948, -22043901, -33065854?\n\"Answer: -11021953*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-12))\/((-1545)\/(-618)).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*-1*(-3 - -3). Suppose b + z*b - 138 = 0. Let w be 12\/42 + b\/7. Solve w = 3*r + 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5631384 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 7*m**2 - 19*m - 21. Let l be n(-9). Let t(d) = -d**3 - 11*d**2 + 12*d. Let u be t(l). Factor 0*b**2 + u*b + b**4 + 0 + 1\/3*b**5 + 2\/3*b**3.\nAnswer: b**3*(b + 1)*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1185 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(-298 + 437*u + 298 + 777*u).\nAnswer: -2428*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of 1\/210*w**7 + 2\/5*w**3 - 1\/25*w**6 + 6 + 2*w + 4\/15*w**4 + 0*w**2 - 3\/100*w**5. Determine f so that k(f) = 0.\nAnswer: -1, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 c when four letters picked without replacement from {c: 3, y: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 4*z + 78. Let w be x(-21). Let a be 0 + (5 + w - -5). Solve 16 = a*v - 0*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 7*p**2 - 5*p - 3. Let t = 158 - 161. Determine i(t).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + -32 - 1*-2. Let d = 31 + l. Let f be ((-6)\/10)\/((-8)\/10). Which is bigger: d or f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h = -15391 - 44429. What is the hundreds digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*b - 6*b = -4*b + 160 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 + -6.1. Which is the closest to y? (a) -3\/2 (b) -5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11111010101010 (base 2) to base 5\nAnswer: -1003132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -14*o. Let i(l) = -934*l. Give a(i(m)).\nAnswer: 13076*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -8*c + 82. Suppose -13*d - 765 = -232. List the prime factors of s(d).\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence osao when four letters picked without replacement from soosoppaoxsoosoos?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -5*j**2 + 206*j - 1152. Calculate i(20).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -4\/9, -58, -32, -5?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s**2 - 16*s + 4. Let n(x) = -x + 1. What is 5*n(p) - o(p)?\nAnswer: 3*p**2 + 11*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -122 - -244. Suppose -370 = -4*j + t. Let s = j + -80. What is the remainder when s is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10702952, 21405910, 32108872, 42811838, 53514808, 64217782?\nAnswer: 74920760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 955599?\nAnswer: 3, 37, 8609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1287787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) 1\/9 (b) -13 (c) -1083\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11388742875 - -1682?\nAnswer: 11388744557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - 9. Let o = t - 5.7. Let q = 0.3 + -0.1. Which is the closest to -0.1? (a) q (b) -0.3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 + 7*j + 5. Let o(w) = -3*w**2 - 8*w - 5. Let l(k) = -4*c(k) - 3*o(k). Let u be l(5). Let r be 9\/(-6)*14\/21. Put 2, u, r in increasing order.\nAnswer: r, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 5*x. Let k be s(-15). Let h be (k\/4)\/(14\/356). Let a = h + 132821\/140. What is the common denominator of -115\/6 and a?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50 + -26. Let k = t - 29. Let l = k - -11. Solve l*o = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11016\/32 + 2\/(-8). Suppose -2*b - u = -g, 5*b - u - 293 = 560. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide -6*16\/480*(-2 - 1043)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -r - 2, 0 = -5*w - 3*r + 35. Suppose u + 5*f = -3*u + 121, w*u = f + 91. What is the highest common factor of 18 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**3 + 775*l**2 - 14193*l + 64233 = 0.\nAnswer: -793, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47230 = 7*u - 5*r + 47317, -5*u + 3*r = 61 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, m: 2, p: 1, s: 5, i: 3}. What is prob of sequence ms?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 6 = -p. Let z = 1823 + -1820. What is the nearest to 1\/3 in -2\/13, z, p?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*v - 1. Let s(b) = v*b - 9*b - b - 3*b**2. Let u(w) = -22*w - 2. Give u(s(g)).\nAnswer: 66*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2\/5 (b) 5 (c) 4\/29 (d) -1\/6 (e) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 10:54 PM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -346 - 2905*y**2 + 336 + 2312*y**2 to the form x*y**2 + o + f*y and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1142299841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-21)\/4 - (-4)\/((-64)\/12). What is the closest to h in -5, 0, 0.1, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -5*b**4\/6 + b**3\/3 + b**2 + 5*b. Let p be u(-2). Let h = p - -73. Does 19 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -695*z - 1438 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 + 26 - 17*u + 11)*(-2*u**3 - 10*u**2 + 10*u**2) + 0*u**4 + u**4 + u**4 - 3*u**2 + 2*u**4 + 3*u**2 - 2*u**4 - 7*u**3 + 7*u**3.\nAnswer: 36*u**4 - 6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 8.574939 years?\nAnswer: 0.08574939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2226)\/36 - (-2 + (-1 - -2)). Let t = 127\/2 + l. What is s in 1\/3*s**2 - t*s + 16\/3 = 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 493804291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*m**5\/4 + 16771*m**4 - 47252*m**3 - 7492*m**2 + 61580*m + 16992 = 0. What is m?\nAnswer: -8\/9, -2\/7, 2, 1062","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u + 6 - 2*u**2 - u**4 - 10 + 5 to s*u + i + d*u**3 + q*u**4 + z*u**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 8*z + 11. Let n be q(7). Solve d = 0, 4*i = n*d - 2 + 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrwwwrrwwrw. Give prob of picking 3 w.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8228, -16452, -24676, -32900, -41124, -49348?\nAnswer: -57572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (73 - (122 + -60)) + (4 - (-80 - (-7 + 4)))\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**(2\/9))**(3\/28))**(10\/3))**(-8))**47 assuming u is positive.\nAnswer: u**(-1880\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 310302 - -11?\nAnswer: 310313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -6*j**2 - 9*j + 25. Let v be ((0 + 1)*(0 + -1))\/1. Let z(i) = -i - 1. Determine v*q(h) + 9*z(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -1) + -1 + -11 + 15\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4940, 4939, 4952, 4985, 5044, 5135?\n\"Answer: v**3 + v**2 - 11*v + 4949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -h - v, 0 = 2*h - v + 4*v - 23. Suppose -4*n + 8 = 3*d - 31, h*d = -2*n + 12. What is the remainder when 33 is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 4*r. Suppose -2 = -b - r. Factor h**3 + 9*h - 2*h**4 - h - 12*h**b - 4*h**2 + 9*h**3.\nAnswer: -2*h*(h - 2)**2*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -18 + 589\/95 + 24\/(-20). Which is the biggest value? (a) -1\/3 (b) 3\/2 (c) t (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gpga when four letters picked without replacement from {p: 1, s: 1, a: 2, g: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*b)*(-2*b - 4*b + 5*b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -14*i**3 - 7*i - 5. Let l be k(-5). Suppose 1135 + l = 11*y. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(((-6)\/(-9))\/2). Let a(x) = -4*x**3 - 4*x**2 + 2*x + 3. Let s = -6624 - -6620. Let w(h) = 5*h**3 + 5*h**2 - 2*h - 4. Calculate l*w(g) + s*a(g).\nAnswer: g**3 + g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 9)\/2 + 0. Let v(r) = r**2 - 1. Let x be v(-1). Sort j, -1, x in decreasing order.\nAnswer: x, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1019650 - -96.3.\nAnswer: 1019746.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 0.571.\nAnswer: 1.142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.28963288 rounded to 2 decimal places?\nAnswer: 2.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -2131012230000?\nAnswer: 2131012230003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -418 divided by -19.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - h = -4. Let u(d) = -d + 1 + 5 - 8 + 1. Let o(j) = 1. Let n(r) = h*o(r) - u(r). Differentiate n(l) wrt l.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + 1 + sqrt(325))**2 + 2.\nAnswer: 20*sqrt(13) + 1303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of 5745*z**2\/2 - 9922*z - 9648. Find the first derivative of g(k) wrt k.\nAnswer: 5745","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3 = -3*y + 83, -4*g = 2*y - 64. Let p = 6 + y. Is (-4)\/(-8)*p*1 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11465?\nAnswer: 5, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -15 (b) 3\/7 (c) 3\/2 (d) -0.5 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + -24.3. Let c = -0.2 - -0.2. What is the closest to 2\/9 in d, c, 4\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*p - 43 + 43)*(6*p**4 - 13*p**2 - 4*p**4 + 0*p**4) - 2734*p + 3 + 4*p**5 + 2734*p.\nAnswer: -20*p**5 + 156*p**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 6.7\nAnswer: 26.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -i**3*o - 7143*i**3 - 1045*i**2*o wrt o?\nAnswer: -i**3 - 1045*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 93260000 rounded to the nearest one million?\nAnswer: 93000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3\/29 + -63\/232. Let o = 6142 - 6141.6. Which is the nearest to -1\/2? (a) 7 (b) y (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212582 = -10*l + 212552. Put 8, -253, l, -1 in descending order.\nAnswer: 8, -1, l, -253","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 11*x - 56. Suppose -15*i + 12 = -x*i. What is the remainder when 35 is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 7505.\nAnswer: 1\/7505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a - 3. Let p be i(13). Let x be 10*(-4 - (-45)\/p). Let n = -44 + 63. Solve z - x*k = 2*z + 23, z + n = -4*k for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n + 1 + 2 + 2*n - 12. Does 7 divide d(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 2:48 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -131 - -58. Let i = -33 - j. Is 20 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 59. Let m = j - 40.8. Let w be (-38)\/(-8) - 2\/(-8). Which is the smallest value? (a) -3\/2 (b) m (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -26624, -26594, -26564, -26534, -26504?\n\"Answer: 30*q - 26654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 0.61, -0.4 in descending order.\nAnswer: 2\/3, 0.61, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3784, 4\/5, -0.2?\nAnswer: 3784","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 5*z + 118, z - 44 = -5*j + 60. Solve 0 = -5*d - 2*o - 3 + j, -2*d + 3*o = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 9:10 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2.97887 * -240.1\nAnswer: 715.226687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-9))\/(4*(-11)\/924*7).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.7*-13032.4309\nAnswer: -9122.70163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**2 + 3*m**2 - 5*m**2 + (-4*m + 15*m - 4*m)*(-m - 2 + 2).\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 6*b**2 + b + 2. Let u be k(6). Suppose u*q - 3*q = 10. Suppose -5*y + 105 = 5*g, 4*g - 15 = -q*y + 31. List the prime factors of y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 3*x - 11. Let w be k(-8). Suppose -3 - w = -4*h. Solve -d = 3*d - h for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 532454 is divided by 790?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -390.65 to 0 dps.\nAnswer: -391","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/4846866 and -1\/7362.\nAnswer: 5947104582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -71 - 9*n + 2*n + 69 + (0*n - 5*n + 2*n)*(-1 + 2 + 0).\nAnswer: -10*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20\/7? (a) 0.073 (b) 4 (c) -2\/3 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -98c0d (base 16) in base 10?\nAnswer: -625677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -g**4\/4 - 7*g**3\/3 - 11*g**2\/2 - 5*g + 55. Factor m(s).\nAnswer: -(s + 1)**2*(s + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 645 = -33. Calculate the remainder when s is divided by 29.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32392123 and 127240?\nAnswer: 3181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2111212 + -210?\nAnswer: -2112122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 15\/6)\/((-3)\/(-8)). What is the units digit of (-930)\/(-40) - (-1)\/y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1119 - -1122. Sort m, -20, -7.\nAnswer: -20, -7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -s**4\/12 + 104*s + 6. Let x(t) be the first derivative of -t**2 - 12*t - 3. What is x(u(r))?\nAnswer: 2*r**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 27040463?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -3*t**2 + 7812*t + 86295 = 0?\nAnswer: -11, 2615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1313*l + 1637*l + 916*l + 746*l + 198*l - 227*l.\nAnswer: 4583*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30 in -6.1, 0.03, 5, 3?\nAnswer: -6.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.1 + 9.9. Which is the closest to 0.4? (a) -3\/4 (b) -2\/3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 3806485.\nAnswer: 1\/3806485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1649, 1651, 1655, 1661, 1669, 1679, 1691?\nAnswer: 1705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -o**5\/4 - o**2\/2 + 9*o. Differentiate h(i) with respect to i.\nAnswer: -15*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/12101064 and -73\/580188.\nAnswer: 84707448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 31*l - 8. Let h(u) = -5*u - 1. Let x(k) = -a(k) - 6*h(k). Determine x(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/27051 + -459827\/541020. Let v = 9994\/8435 - 17\/241. Find the common denominator of t and v.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 176750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2553\/2 - -1274. Sort a, 0.3, -4\/11, 2 in increasing order.\nAnswer: a, -4\/11, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12605.725 to the nearest ten.\nAnswer: -12610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 9*n**2 + n + 2. Let q be b(-1). Solve -4*w - 1 = 3*u - 5, -q = 5*w for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -137016?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 55.44 + -1.44. Let h = z + -53.5. Which is the third smallest value? (a) -0.4 (b) h (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 11210?\nAnswer: -11200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h + 6*h**3 - 402*h**2 + 403*h**2 + 1 - 10*h**3 to u*h**3 + k*h + z*h**2 + o and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 divided by -39.\nAnswer: -62\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -0.3, -5, -9184 in increasing order.\nAnswer: -9184, -5, -0.3, 6","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is 971 divided by -31663?\nAnswer: -971\/31663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/(-11) - 2\/(-2). Let m = 2.6 - 2.4. Let l be (-42)\/(-24) + 1580\/(-1040). Which is the second smallest value? (a) -2 (b) m (c) g (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -5. Suppose w*i = 15 - 6. What is the third derivative of -j**5 + 3*j**3 + 2*j**2 - 3*j**i wrt j?\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*o**3 + 11*o - 2*o**2 + 1 - 8*o - 5*o + 3*o**3 in the form d + k*o + h*o**3 + w*o**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 152300 to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) -5 (c) 0.3 (d) 714 (e) -97 (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w**3 + 40*w**2 + 191*w - 61. What is s(17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20545641, 20545637, 20545631, 20545623, 20545613?\nAnswer: 20545601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 447965227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 216 divided by 72.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 2*d + 14, -6*d + d - 8 = -4*t for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -248, -3074 in ascending order.\nAnswer: -3074, -248, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21241463*g**3*y + 2*g**3 + 6*g**2 - g + 136109 wrt y.\nAnswer: 21241463*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k + 24. Suppose 3*h + 2*h - 22 = -2*x, -x + 11 = 5*h. Let w be g(x). Solve -2*y + 11 = t + w, -2*t = -y - 8 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 - 8 = 26*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6265502.\nAnswer: 2, 3132751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vbvbbbbbbbbbvbb. What is prob of sequence vvbb?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + 2. Let w be (-2)\/d*4*1. What are the prime factors of 1 - 16\/(w\/1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -8*x**2 - 3*x + 136. Let b(m) = 22*m**2 + 8*m - 407. Let c(i) = 3*b(i) + 8*q(i). Let s(v) = -2*v. Calculate c(s(z)).\nAnswer: 8*z**2 - 133","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-17)\/(612\/(-240)))\/(2\/69). Let k = -8 + 18. What is the greatest common divisor of m and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66.7 + 1292542223?\nAnswer: 1292542156.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-10))\/(o*o**(-2\/31))*o\/((o*o\/((o**(1\/3)*o)\/o)*o*o)\/o)*o**43)**(-6\/11) assuming o is positive.\nAnswer: o**(-9560\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -689*t**2 - t - 2. Let w be (13\/(-39))\/(2\/(-228)). Let v be w\/(-12) + (-11)\/(-66). Let m be l(v). Round m to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 755 divide 2832963850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 635498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40587.\nAnswer: 3, 83, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 26*l. Determine k(1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 174 + -29?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + 0 + 0)*1. Suppose 57 = -t*b + i + 23, 3*i = 2*b + 30. Is (12\/b)\/(2\/(-42)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, v: 18}. Give prob of sequence rvv.\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 4. Let k be 3\/(-1) + (-8)\/(-2). Suppose -k - 10 = -n. Calculate the smallest common multiple of n and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3 + 93*v**2 - 195*v + 99.\nAnswer: 3*(v - 1)**2*(v + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c - 53 = -14*c. Let z = c + -21. Is 9 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + -25. Sort 1, -6, t in descending order.\nAnswer: 1, t, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 259686323?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240394938 is divided by 8044.\nAnswer: 8042","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -54. Does 15 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 7154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/15)\/((-5)\/(-50)). Suppose 0 = -c*x - x + 145. Let z = x - 18. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 7 - 2 = -p, t - 5 = p. Which is the nearest to -0.2? (a) p (b) -2 (c) 1 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -449 - -500.6. Let u = q - 52.046. Round u to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -1. Put -2, c, -5 in decreasing order.\nAnswer: c, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -569.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 120, 118, 130, 162, 220, 310, 438, 610?\nAnswer: 832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 183747*o**2 - 1 + 174660*o**2 to the form i*o**2 + s*o + h and give i.\nAnswer: -9087","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 937263974 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 79\/264 + -5\/24. What is the nearest to -1 in -0.05, -0.3, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1844)\/(-204) - (18\/15)\/((-62)\/(-465))?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108076 to the power of 1\/2, to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*q + 6 = -29*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -652 - -673. Suppose 0 = 8*w - 5*w - k. Solve -w*x + 8 = -20 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (0 - (-5 + 8 + 1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 93*s - 7633. Give f(82).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 11, 1\/8, 184, -5, -1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4042*m + 1135*m**2 - 2220*m + 2950*m**2 + 2295*m**2 wrt m?\nAnswer: 12760","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 167 divided by 85992\nAnswer: 167\/85992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-18) + 136\/36. Find c such that 119*c**2 + j*c**5 - 20*c**4 + 36*c**4 - 167*c**2 + 36*c - 8*c**3 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164089 is divided by 95?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 104, 219, 366, 539, 732, 939?\nAnswer: 1154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 496 by -496.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7716530 divided by -1543306?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 977, 1951, 2925, 3899?\n\"Answer: 974*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1135516 at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 less than -112.1?\nAnswer: -124.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1371871598*q**5 + 6860*q**2 - 8623 wrt q?\nAnswer: 82312295880*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1*sqrt(5) + -2.\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -272, -340, -464, -644, -880?\n\"Answer: -28*j**2 + 16*j - 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4\/5 (b) -21\/44 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-15)\/4)\/(6\/(-16)). Let p be (-6)\/12*(9 + -19). Solve -m + p = h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**3 - 11*a**2 + 6*a + 4. Let j be z(-6). Solve 0*d - s = -d - 4, 4*s = -j*d - 8 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (3 + 5 - 7) + 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26921*b**2*g**2 - 2208*b*g**2 - 2*g**2 wrt b.\nAnswer: -53842*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-4)*2\/(-4). Let s be (-9*(-48)\/108 - 4)\/1. What is g in s + 6\/11*g**4 - 2\/11*g**5 + i*g - 6\/11*g**3 + 2\/11*g**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*f**2 - 101*f**2 + 21*f**2 + f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wza when three letters picked without replacement from {j: 1, t: 4, a: 2, w: 2, z: 1}.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 187974821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55915 is divided by 40?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102367 - 91279 = -112*l for l.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11314 or -11339?\nAnswer: -11314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 1\/6, 8, -0.07, 0.03, 0 in descending order.\nAnswer: 8, 1\/6, 0.03, 0, -0.07, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287*b - 285*b = -4*r - 16, 0 = r + 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i - 34 + 65 - 30 + 46*i - 64*i**5 + 47*i - 4*i**3 wrt i.\nAnswer: -1280*i**3 - 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 159096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.27 (b) 0 (c) 336 (d) 5 (e) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*i - 43*i - 515 - 1239 - 3056 = 0 for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.6 (b) -0.19 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 54479000 to the nearest one hundred thousand.\nAnswer: 54500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1709494 is divided by 8338.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 3809, -0.12, 146?\nAnswer: 3809","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1227272 is divided by 23600.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0*-6*20\/(-50)*(-15)\/(-36)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 37205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/396 and -13\/55800.\nAnswer: 613800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1461*h**4 - 3360*h**3 - h**2 - 1654*h - 78 wrt h?\nAnswer: -35064*h - 20160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5131127 - -5?\nAnswer: 5131130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r + 18. Let j be n(-4). Let g(s) = -s**3 + s**2 - 3*s + 6. Let d be g(j). Put d, 1, 3 in ascending order.\nAnswer: d, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 4*h**2 + 3*h. Let f be w(3). Let y(k) = 0*k + f*k + k. Let x(m) be the first derivative of -m**2\/2 + 1. Calculate x(y(i)).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 12*g + 4. Let l(t) = 50*t - 345. Let c(f) = 8*f - 53. Let j(v) = 39*c(v) - 6*l(v). Give -6*j(d) + 5*y(d).\nAnswer: -12*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 6*b + 4. Let n be x(-6). Let r = -2 + n. Suppose -2*q - 16 = -i, r*i + 2*q - q - 12 = 0. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 194.3 and 97582094.6.\nAnswer: 97582288.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/5, 0.078, 13, -5?\nAnswer: 0.078","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3*i + 5. Let l(h) = 7*h - 9. Let q(v) = 9*a(v) + 4*l(v). Give q(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of 0 + 7*z**2 + 0*z + 0*z**4 + 1\/4*z**3 - 1\/40*z**5. Let b(h) = 0. What is h?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1956)\/15)\/((-1)\/5). Let t(c) = 11*c - 28. Let k be t(2). What is the tens digit of k\/(-33) - z\/(-44)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185334 is divided by 806?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 164730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -460240464+31960\nAnswer: -460208504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3824489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.029, 7, -72 in descending order.\nAnswer: 7, 5.029, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does -8.37 = 0.45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 607.9379 micrograms to nanograms.\nAnswer: 607937.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1360, 2773, 4194, 5623, 7060, 8505?\nAnswer: 9958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7609546, 15219063, 22828580, 30438097, 38047614?\nAnswer: 45657131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -3*l**2 - 1\/6*l**3 - 5\/24*l**4 + 0 + 0*l. Let b(p) = p - 2. Let z be b(3). Calculate m(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 3:03 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, n: 3, g: 5, b: 5}. What is prob of picking 1 a and 1 n?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.297 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4790 + 596 - 335 = -100*r + 1271 for r.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 31.89894ml?\nAnswer: 0.03189894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-9)*(-27)\/(-504)*-4*-1.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/4)\/(16\/(-24)*(-6)\/5660072) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1066*f**2 - 513?\nAnswer: -2132*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -354*g + 82 = -313*g. Let t(d) be the second derivative of 2*d**4 - g*d + 0 - 3\/4*d**5 + 0*d**2 - 3\/2*d**3. Suppose t(x) = 0. Calculate x.\nAnswer: 0, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.36 - -2.06. Let d = -2 + q. Let o be (2 - (-1)\/11) + -2. Which is the second smallest value? (a) -5 (b) o (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -4*l + 69. Suppose -l*q - 810 = -25*q. What is the greatest common divisor of q and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -2\/57, 6, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9966\/(-12))\/((-1)\/2). Suppose -9*w = -10*w + h. Suppose 0 = -5*g - n + 1649, 5*g + 7*n - 3*n = w. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/7*u**2 + 4800\/7 + 240\/7*u = 0 for u.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 15. Let v = o + -7.8. Put v, -5, 0.1 in descending order.\nAnswer: v, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*b - 16*b + 3*b + 1)*(1 + 1 + 0) to the form s*b + y and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kn when two letters picked without replacement from {p: 6, k: 3, n: 2, z: 4, s: 2}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/(-2) + 0 + -1. Let f be (6*(-2)\/b)\/(-1). Suppose f*i - 7*i + 2*i - i**2 = 0. Calculate i.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362201 is divided by 362197?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 891 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 + 4 + -12)\/(-2 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -17 (c) -17.6 (d) -0.1 (e) -2\/5 (f) 1893 (g) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 2 - (-5 - 2). Let v be 372\/(-155)*n\/3. Let b(l) = -6*l + 2*l - 5*l - 10 - l**2. Calculate b(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(15\/(-20)))\/(1*-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5845 and 896385?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/6 - 11*y\/3 - 16.\nAnswer: -(y + 6)*(y + 16)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w - 9. Let o be q(-11). Suppose -o*m + 0*m = -16. Suppose 4*f - 3*x - 93 = 0, 4*x = 3*f - m*f + 124. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23\/6 in -16, 5, 5\/3, -0.08?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22 - -682?\nAnswer: 6a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 523, 5, -5, -3 in decreasing order.\nAnswer: 523, 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1089457908 divided by -44\nAnswer: 24760407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -0.34292, -0.3 in ascending order.\nAnswer: -0.4, -0.34292, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86\/((-86)\/23) - (30 - -2).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4981583, 4981607, 4981629, 4981649, 4981667, 4981683?\nAnswer: 4981697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 m, and 1 y when four letters picked without replacement from {d: 4, q: 2, y: 1, m: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.6 + -46. Let n = -51 - j. What is the closest to 20 in n, -0.5, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5\/6 + -2\/3. What is the third smallest value in 0, -0.4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/1735482 and 167\/120540.\nAnswer: 711547620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.15881 - 55?\nAnswer: -58.15881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 383005957?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 752441.1 decades in centuries?\nAnswer: 75244.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -5*d - 19, 3*d = 5*z - d - 30. Solve -h + 2 = -5*h + z*o, -11 = 2*h + o for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4409 + 3*k - 4409 - 1688*k**3.\nAnswer: -1688*k**3 + 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-8)*2*-1. What is the closest to -2 in 5, 1\/2, q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llo when three letters picked without replacement from lllololllolllollll?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213207?\nAnswer: 3, 71069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 14*l**2 - 18*l - 10. Let k = 11 + -3. Suppose k*d = 32 - 136. What is the units digit of z(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.9 and -1.626881.\nAnswer: -1.4641929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1506.\nAnswer: 2, 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (835\/1670)\/(1 - (-5)\/(-2)). Which is the closest to -6? (a) 1\/3 (b) x (c) 2 (d) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152964.\nAnswer: 2, 3, 7, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -0.1299 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 730605 at most as big as 730492?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110000 (base 2) to base 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-12)\/(-15)*((-35)\/(-4) + 4) and (134\/16)\/((-12)\/(-16)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 3 + 14 - -11\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -414, -552, -690?\nAnswer: -828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y**2 + 2. Let b(v) = 1 - 4*v**2 + 2 + 2*v**2 - 2. What is -3*b(r) + 2*w(r)?\nAnswer: 2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**3 + 9389832*n**2 - 28169532*n = 0 for n.\nAnswer: -2347461, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175*z = 15*z + 39*z - 343500. What is the lowest common multiple of 120 and z?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -577453 (base 8) to base 3\nAnswer: -100222101220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 5*f - 15 - 25, -4*f = -v - 25. Suppose 5*i - 2*i = -m + 15, -5*i + 5 = -f*m. Solve -5*y = 18 - m for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5538951641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 64*a - 2 - 58*a + 5 + 4 - 21*a. What is b(8)?\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -1. Suppose 26 = -u*k + 2*k. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 + 1. Let b be (-2)\/5*(4 - -1). Find the common denominator of 7\/6 and (-660)\/z*b\/8.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -926\/7 - -132. Which is the third biggest value? (a) 1 (b) 2\/3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1699275203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, h: 1, t: 1, j: 2}. Give prob of sequence hujj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6170 - -6175. Solve -u*l - 5*b = -6*l - 15, l = 2*b - 6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (6 - 3 - 9) + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1659*b + 1657*b = -68. Suppose -3 = -3*q - 48. Let i = b + q. List the prime factors of i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/435574 and 57\/170.\nAnswer: 2177870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22c (base 13) to base 10.\nAnswer: -376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/8 of a microgram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11671, -23104, -34537, -45970?\nAnswer: -57403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 1:10 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7957 is divided by 3941?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 - 35. Let b(m) = -m**3 + 5*m. Let y = 9 - 14. Let z(c) = c**3 - 3*c. Give w*b(p) + y*z(p).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 13*j = -15. Suppose 0 = j*n - 23 - 49. Let h be 42\/(-35)*(-40)\/6. Calculate the greatest common factor of n and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 - -2.9. Let f = -1325 - -1324.92. Sort 0.4, a, 3\/8, f in ascending order.\nAnswer: f, 3\/8, 0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25.945 - -0.055. Let d = w + -26.1. Which is the closest to -1? (a) d (b) 0.2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - -8)*87\/12. Let v = o - 31. Let c = -6 + 3. Is c less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 71, -1678, -3427, -5176?\n\"Answer: -1749*n + 1820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 640511 divided by 9?\nAnswer: 640511\/9","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is 1677.9873 months in years?\nAnswer: 139.832275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 51\/5. Which is the second biggest value? (a) -3 (b) -1 (c) -1\/2 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y + y + 3*y)*(-44*y - 58*y + 28*y)*(3*y + 2*y**2 - 3*y) to f*y + g*y**3 + i*y**4 + x*y**2 + k and give i.\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 + 27. Solve b = 6*y - 2*y, -2*x - 2*y = -8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 11 = 1. Solve h = -2*g + 13 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4872, 15403, 37240, 76035, 137440, 227107, 350688, 513835?\nAnswer: 722200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -3*f - 3*h - 120, -2*h = 3*f + 115. Let q = f + 85. What is the remainder when q is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -167*m**2 - 14186*m - 91112. What is x(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*g = 4, -5 = -g - 3. Let l = -2 + a. Suppose -10*o - 50 = -29 - 31. Sort l, -3, o in decreasing order.\nAnswer: o, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 c when four letters picked without replacement from hhhocshco?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w + 6. Let k be u(5). Let s(n) = 3*n**2 - n. Let l be s(k). Factor -32\/3*i**3 - 4\/3*i - 22\/3*i**l + 0 - 14\/3*i**4.\nAnswer: -2*i*(i + 1)**2*(7*i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -20*z - 8. Determine c(-4).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 558.05 millilitres in litres?\nAnswer: 0.55805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -722406 times 1?\nAnswer: -722406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16924084322 + -362.\nAnswer: -16924084684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6926 - -6921. What is the second smallest value in 0, 1\/2, -2, -0.7, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20002230 (base 4) to base 16\nAnswer: 80ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 0. Suppose -z*t - 3*q + 5 = -0, 4*t = -q + 7. Let n be t\/(-2) - 10\/(-35). Which is greater: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-8))\/((-1)\/(8\/3)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 345, 860, 1581, 2508?\nAnswer: 3641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19143121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2240 = 351*f + 1738 - 819 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3161 = 5741 + 11552. Round o to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 16, 2*m + 324*l = 323*l + 2 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 10*x**4 + 14*x**3 + 6*x**2 - 6*x + 8. Let u(l) = l**4 + l**3 - l + 1. Let d(o) = -m(o) + 8*u(o). Factor d(z).\nAnswer: -2*z*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ugse when four letters picked without replacement from fusufsseuusssgb?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g - 14. Let t(d) = -5*d - 70. Let j(u) = -11*f(u) + 2*t(u). Let h be j(-18). Which is the third smallest value? (a) -0.07 (b) 5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -694\/1521 - -2\/169. What is the third biggest value in a, -5, 3, -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -f**6\/12 + f**5\/10 + f**4\/4 - f**3\/3 - f**2\/4 + f\/2 + 4. Solve x(q) = 0 for q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**20)\/w)\/w**16*w**(-1\/2)*w\/(w**(-7)\/w) assuming w is positive.\nAnswer: w**(-55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -13?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 271 * -1742\nAnswer: -472082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 6. What is the units digit of 136\/20 - a\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 7*n + 4. Let c(w) = w + 1. Let j(o) = 4*c(o) - p(o). Let f be j(-1). Let t(i) = i**2 + 5*i + 6. Let h be t(-5). Solve f*d - h*d - 15 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20727404 is divided by 1416?\nAnswer: 1412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.73 - -0.13. Let y = 16.6 + -13. Let o = y + f. Which is the closest to -1\/3? (a) -2\/7 (b) o (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 l when two letters picked without replacement from llelel?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.2, 14, 0 in ascending order.\nAnswer: 0, 0.2, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 5*x**2 + 60*x + 401. Let v be i(-6). Solve v*f + 0 = -15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (2 - 13) + 8 + -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 20 = 0, p - 3*g + 8 = 22. Solve -p*t = 4*b + 2*t + 20, -3*b = 5*t + 17 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t + 5. Let l(v) = -11*v**2. What is l(w(a))?\nAnswer: -11*a**2 - 110*a - 275","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1245 rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*5\/15*-23399991. Let h be ((0 - 0) + -1 - u) + 4. What is h rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -56, -137, -250, -395, -572, -781?\nAnswer: -1022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.352 - 4.533. Round r to two decimal places.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4 + 1963874*o**3 + 642802799790*o**2 + 70133856520539766*o + 280525141363049848.\nAnswer: 2*(o + 4)*(o + 327311)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 43*c**2 - 60*c**2 - 38 - 13*c - 19*c + 104*c**2 in the form z*c**2 + s + w*c and give s.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 40 = 19*m. Suppose a + m*a = 4*f + 20121, -6726 = -a - 5*f. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - (-6)\/4)*8. Let l be 3 + -2 - (-11)\/1. Let p = g - l. Is 13 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18150 plus -12?\nAnswer: 18138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45879179 to the nearest integer?\nAnswer: 6773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -38*g**4 + 162*g**4 + 61*g**4 + (-g**2 + g**2 + g**3)*(-2*g - 25*g - g).\nAnswer: 157*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3292014?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 11*u**3\/2 - 2574889*u**2\/6 - 884328*u - 156058\/3 = 0?\nAnswer: -2, -2\/33, 78029","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**5 + 20*o**4 - 660*o**3 + 2290*o**2 - 2705*o + 1050 = 0 for o.\nAnswer: -15, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -6*p**3 + 2*p**2 - 11*p + 11. Let k be w(1). Sort k, 3, -150, -1, 5 in descending order.\nAnswer: 5, 3, -1, k, -150","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vhhivviv. What is prob of picking 2 v?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3*d = 42, 4*d + d + 20 = 0. Let c be i\/(-21) - (-1032)\/(-14). What is c rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/12145 and -97\/168.\nAnswer: 291480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eehageheagepzhhaga. What is prob of picking 1 z, 1 p, 1 e, and 1 a?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -u**7\/11340 - u**6\/1080 - u**5\/270 - 7*u**4\/12 - 4*u**3\/3 + u. Let n(g) be the third derivative of p(g). Factor n(h).\nAnswer: -2*(h + 1)*(h + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -2*s + 2862, -3*b + 2*s + 2066 = -84. Suppose -5*w + 569 = -b. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2235731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 11. Let m be 25\/(-6) - -4 - 156\/(-72). Sort j, 0, m.\nAnswer: j, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a hour in seconds?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 101 - 95. Find the third derivative of m*x**6 + 107*x**5 - 58*x**5 + 21*x**2 - 50*x**5 - 10*x**2 wrt x.\nAnswer: 720*x**3 - 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 7*v - 16. Calculate d(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*s**3 - 27*s**3 - 35*s**3.\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, 0.1, 9\/127, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 6 = -3*s - 2*s, -2*s + 5*a = 9. Let j be 16\/(-104) - (-37)\/(-13). Put s, 4, j in increasing order.\nAnswer: j, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -69441*0.2\nAnswer: -13888.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**(1\/12))**(1\/27))**(-28))**(6\/5))**33 assuming l is positive.\nAnswer: l**(-154\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b + 1. Suppose 0 = 4*j - 0*j - 16. What is the units digit of v(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3775156*c**4 - 405*c**2 - 2*c + 8887.\nAnswer: -90603744*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.9903 - 0.5903. What is the nearest to 0.5 in b, 0.5, 0, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15*((-1008)\/70)\/12*(-4)\/6\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -169342 != -169350?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12931 and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p - 28 - 168 = 0. Suppose -2*k = 19*z - p*z - 15, -5*z + 15 = -3*k. Solve 4*y = -r - 22, 2*y + r = z*y + 3 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-185 - 111*s + 185)*(0*s + 5*s - s).\nAnswer: -444*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/33 and -58\/29074155?\nAnswer: 29074155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b\/(b**(-3)\/b))\/b))\/b)\/b**(-2\/3)*(b**(1\/3))**(-13) assuming b is positive.\nAnswer: b**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 712 (base 12) in base 6?\nAnswer: 4422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47794 or 1136?\nAnswer: -47794","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 0*k + 5*k - 2*k + 6*k - 2*k + (-1 - 1 + 1)*(1 - 2*k - 1) + 2*k - 7*k + 2*k)*(208 + 3*k - 1346 - k).\nAnswer: 6*k**2 - 3414*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -174263 and -1932103.7.\nAnswer: -2106366.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -15 (b) 5 (c) 2\/349 (d) 0.197\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-550)\/(-80) - (1 - -6)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5376?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 246 and 1232214.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7759 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 753984620?\nAnswer: 2, 5, 23, 1639097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3485689*z**2\/4 + 784140*z - 176400.\nAnswer: -(1867*z - 840)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 2*j**2 + 117*j + 130. Determine q(-9).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 11 + (-5 - (9 + (0 - 9) + -10))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10869 and 1137622.\nAnswer: 3412866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 239487 (base 11) in base 8?\nAnswer: 1343327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**20)**(-20) assuming u is positive.\nAnswer: u**(-400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46976?\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 118*2\/(-16) - (-3)\/(-12). Let m be (-1 - 65\/d)*(-2)\/(-15). Is -1 at least as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75 times 51\nAnswer: -3825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 3 = -186*a + 184*a, -10*a + 8 + 76 = -4*o for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-9)\/(90\/2).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - -22. Let i(n) = 2 - n + 39*n**3 - y - n**2 - 37*n**3. Determine i(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -26c?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*279\/6 + 0\/(-1) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153419433421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a - 230 = 8*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 271 (base 16) in base 13?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*v - 167952 - 21152 = 0. What is the thousands digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*y - 16 = -59*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1726 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + -10. Suppose 0*f = -o*f. Solve -5*l + 1 - 6 = f for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 51*j - 478. What is b(20)?\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 2*s - 60, -c + s + 12 = -0*c. Suppose 0*n = 6*n - c. Let h = n + 87. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31368 and 19128.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 15. Suppose -3*r - 68 + 14 = -d*l, 2*l = -r + 30. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 123 = -3*n, 24 = 219*z - 215*z. Calculate the remainder when 198 is divided by n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 - -28. Let n = d + -4. What is the closest to 2\/7 in 0, n, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -288, -1138, -2512, -4410, -6832?\n\"Answer: -262*c**2 - 64*c + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01204342966 to three decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s + 16. Let i be h(-4). Suppose 0 = i*a - 8*a - 8. Suppose -2272*o + 2280*o = 24. Solve -4*x - 6 = a*j, o*x = -5*j + 2 - 10 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2255 is divided by 133?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -13 - -34 - 14) + -27?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 372 and -0.4.\nAnswer: -148.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 2)*(f - 4 + 4) + 175*f - 174*f + 266 + 2.\nAnswer: -f + 268","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-114)\/21 + -4)\/((-2)\/28). Let w = -121 + v. Suppose -11700 = -20*s + w*s. What is s rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 382816641 to the power of 1\/5, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -5 + 3 + 4 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n - 3. Give f(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22215*c - 5017 + 2503 + 2514.\nAnswer: -22215*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 7 + 9*r - 4*r - 4*r. Calculate j(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 850, 853, 858, 865, 874?\nAnswer: 885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8*(-5)\/(20\/(-18)). Suppose -h + 9 = -9*g. What is the greatest common divisor of 33 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145290*s - 6*s**3 - 145644*s + 290934*s.\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 41683*p**2 + 4. Let w(g) = -3*g**2. What is b(w(z))?\nAnswer: 375147*z**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85245793?\nAnswer: 373, 449, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10176623*v**3 + 10176546*v**3 - 4*v + 4*v.\nAnswer: -77*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-21) - (-38999)\/(-7). Let p = -13071 - h. Round p to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -15*i**4 + 143*i**3 + 158*i**2 + 7*i. Let d(p) = -10*p**4 + 95*p**3 + 105*p**2 + 5*p. Let r(b) = 7*d(b) - 5*j(b). Factor r(y).\nAnswer: 5*y**2*(y - 11)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -202686 - -202789.121. Let s = -0.121 + m. Let q = s - 103.00076. Round q to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 253786, 253783, 253780?\n\"Answer: -3*i + 253789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, d: 3}. What is prob of picking 3 n?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*s + 0*s + 5*s)*(-4 + 4 + 3*s) - 19*s**2 + 70*s - 70*s)*(-5*s**2 + 2*s**2 + s**2).\nAnswer: 26*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*a*l**5 + 544*a*l**4 - 13*a*l + 571*l wrt l?\nAnswer: 80*a*l**3 + 6528*a*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0 - -11) + (204 - 208)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -1010110?\nAnswer: 1010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - -0.135336.\nAnswer: -3.864664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*a + 12*a - 24*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56 and 216464.\nAnswer: 1515248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -5*o**2 - 111*o + 112. Let i be t(-25). Which is smaller: i or -237?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*s - 556 + 1740 = 0 for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 62 + -70. Let n(l) = -3*l + 4. Let c(y) = 10*y - 11. What is k*n(t) - 3*c(t)?\nAnswer: -6*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 + 97 = 11*a. Let m be 2 - 5 - 3 - (a - 3). Let w(p) = p**2 + 9*p + 12. Calculate w(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, v: 7}. Give prob of picking 3 v and 1 j.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 0 = 3*v. Let b = 3 - v. What is the common denominator of 77\/4 and b\/14 - (-243)\/(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lttllgtbbgmlltltbg. What is prob of picking 1 l, 1 m, and 2 b?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38626?\nAnswer: 2, 7, 31, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 359441525?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a**2 - 5*a + 4. Let l(y) = -8*y**2 + 14*y - 11. Calculate 4*l(t) + 11*z(t).\nAnswer: t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5ac0 (base 13) in base 2?\nAnswer: 11001000011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -773*j + 128 + 8602 - 110633 = 10955 for j.\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 294 = 7*f - 5*f, -405 = 3*f + 3*l. Are f and -149 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (255*a - 1160*a - 778*a)*((2 - 5 + 5)*(0 - 1 - 1) + 2 - 2 - 2).\nAnswer: 10098*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 89 + 167 = 0. Let n be (z\/20)\/(1\/(-5)). What is the highest common divisor of 32 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - d + 0 + (3 + d - 3)*(-4 + 4 - 3) + (31*d - 64*d + 17 + 31*d)*(-3 + 1 + 3)*(-3 - 1 + 6)*(-1 + 2 + 1).\nAnswer: -12*d + 68","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 16. Suppose -q + 0*q + x = 0. Let 6*m**4 - q*m**2 + 10 - 8 + 1 + 3*m - 3*m**3 = 0. What is m?\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 6 = -2*u, 2*p = -3*u + 7*p + 25. Let r be u\/(-5) - (3\/3 - 10488). What is the hundreds digit of 1\/((-3)\/7 + 4543\/r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 377.4 - 377. What is the second biggest value in -2.17, z, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 149, 150, 151?\n\"Answer: m + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 5:29 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 226 + -198 + (0 - 10) + -9 + (-9 - 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 81935 * -0.3\nAnswer: -24580.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -13 - (-1 - -3 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 108131293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2079 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (8 + 6 - 13)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4780 or 1371?\nAnswer: 4780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -410 or -405?\nAnswer: -405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 8:37 AM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -85 - -94. Suppose 3*q = -0*o - 5*o + 4395, r = -3*o. Suppose -2*l + q = 8*l. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - (13 - 8))\/((-3)\/9 + 1). Put 0, 3, 138, 2, o in increasing order.\nAnswer: o, 0, 2, 3, 138","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**3 + 363703*i**2*s**2 - 2435*i*s**2 + 21*i - 4*s**2 wrt i.\nAnswer: 6*i + 727406*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + 7*c**2 + 0*c**2)*(-c**2 + 0*c**2 - c**2) + (3 + 4*c - 3)*(-1 + 3 + 2)*(-2 + c**3 + 2).\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -41, 5, 0.2, -5\/6, -1\/9?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 7*l**2 - 7*l + 9. Suppose 0 = 9*h - 3*h - 36. Calculate d(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -69086309*h**3 - 35769653*h**2 wrt h.\nAnswer: -414517854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.166? (a) -225 (b) 1\/9 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*d - 6*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -273 + 291. What is the smallest value in -4, -1\/8, n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.078234 to 4 decimal places.\nAnswer: 0.0782","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.925 - 0.04.\nAnswer: -8.965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-54*(-9)\/1728)\/(15\/10)\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 352 and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/28)\/((-6)\/7).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 79*j**4 + 7423*j**3*n**3 - 16*n**3 - 3*n**2 + 2*n - 108 with respect to j.\nAnswer: 316*j**3 + 22269*j**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14.07 - 14. Let w = z - -0.23. Suppose 2*q - 3 = p, 3*p - 2*q = -3 - 2. Which is the closest to p? (a) -0.1 (b) 3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d - i + 10 - 3, -9*d + 13 = i for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 49?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3634*t + 8778. Determine w(-3).\nAnswer: -2124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 9:51 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47\/86 - 2\/43. Let k = -10 + 14. What is the nearest to j in k, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**2 - 341*o + 15*o**3 - 14*o**3 - 845*o as q*o + p*o**2 + y*o**3 + c and give q.\nAnswer: -1186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55689\/(-1954))\/((-2)\/10*6\/((-48)\/(-20)))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttodovvvdvqqvqtv. Give prob of picking 1 q, 1 t, and 1 o.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -40*a. Let p(w) = 123*w. What is n(p(o))?\nAnswer: -4920*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*((sqrt(891) + -1*sqrt(891) + sqrt(891) + 0 + sqrt(891) - sqrt(891))**2 + -6*(-1 + sqrt(891)) + sqrt(891)).\nAnswer: -90*sqrt(11) + 1793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3898*l**2 + 16 - 2*l**4 - 7793*l**2 + 3894*l**2 - l**3 to v*l**4 + x + c*l**3 + o*l + a*l**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5985 divided by -1197.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 49*g**2 - 540*g + 978. What is q(2)?\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ulluutlatlulalltao. What is prob of sequence ua?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/217 and 40\/1519?\nAnswer: 1519","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17998 - 619. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*k**2*n**3 - 13*k**2*n**2 + 229*k**2 - 2050*k*n + 2*k - 2*n**3 wrt k?\nAnswer: 8*n**3 - 26*n**2 + 458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 1417594*x + 15. Let i(k) = -10*k. Calculate j(i(n)).\nAnswer: -14175940*n + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.134892 to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, b: 3, y: 4, x: 2}. Give prob of picking 1 z and 1 x.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 552, 2270, 5134, 9144, 14300?\nAnswer: 20602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/836 and -65\/304?\nAnswer: 3344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -y**5\/20 + y**4\/2 + y**3\/3 - 3*y**2 - 5*y - 18. Let v = -15 + 21. Calculate z(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 174241 (base 8) to base 14\nAnswer: 192a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1120 + -121021212?\nAnswer: -121022332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - h + 2*h)*(2 + 3*h**4 - 7*h**4 - 5*h**3 + 3*h**4).\nAnswer: -2*h**5 - 10*h**4 + 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**2 + 0*a**2 - 2*a**2 + 0*a**2 + 4 in the form t + i*a**2 + b*a and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/3)*s*s**3)\/(s\/(s*s*s**1)*s**2))\/(s**(-3\/5)*s*s**(2\/13))**(-18\/5) assuming s is positive.\nAnswer: s**(5519\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/272892 and 36\/250151?\nAnswer: 3001812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.095 (b) 3\/5 (c) -61876\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4393 and 2101?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of v**6 + 102*v**4 - v**2 - 9*v?\nAnswer: 120*v**3 + 2448*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/(-27))\/((-1)\/(-6)). Suppose 0 = -0*z - 2*z - a, -5*z = -m + 49. Let o be (-10)\/2*m\/(-55). Put -0.4, -1\/3, o in decreasing order.\nAnswer: o, -1\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(2*((-2)\/(-4))\/1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002114 rounded to five dps?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(448)*2 + sqrt(448) + sqrt(448) - ((sqrt(448) + sqrt(448)*-1)*-4 + sqrt(448) + sqrt(448)))**2*2 - (5*sqrt(84)*-2)\/(3*sqrt(1728)).\nAnswer: 5*sqrt(7)\/18 + 57344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-4))**(1\/14)\/(v**(1\/7))**(-2\/35) assuming v is positive.\nAnswer: v**(-101\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1639339 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 512 - 160 = 0. Let z = -71 - o. What is the remainder when 77 is divided by z?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(12\/11))\/n**(-28)*(n*n\/(n\/(n*n*n**(1\/8)))*n)**9 assuming n is positive.\nAnswer: n**(5723\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 2*f**2 + 4*f + 5. Suppose -9 = 2*q + 2*w + 5, 0 = 4*q - 3*w. Let c be k(q). Factor 0 - 3\/2*t**3 + 0*t**c + 3\/2*t.\nAnswer: -3*t*(t - 1)*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002543126 to 7 decimal places.\nAnswer: 0.0000254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -63*l**2 + l - 67*l**2 + 4 - 58*l**2 + 159*l**2 as h*l**2 + a*l + j and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 545669993?\nAnswer: 11, 503, 98621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 7*k - 56. Let p be o(8). Solve 3*z + p = -3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of 0 - 1\/20*u**5 - 7\/6*u**3 + u**4 + 6*u**2 - 26*u. What is the units digit of y(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -415*f**4\/3 - 2197*f**3\/3 + 81*f**2 - 4*f - 5. Find the first derivative of k(b) wrt b.\nAnswer: -3320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*y + 7 + 3 = 0, 0 = -3*q - 5*y + 25. Let x(m) be the third derivative of 0*m + q + m**2 - 1\/24*m**4 + 0*m**3. Let k(o) = -o**2. Give k(x(r)).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -442*x + 2605. What is m(6)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32846908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-81)*((-63)\/(-182) - 0).\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98318.79 rounded to the nearest 100?\nAnswer: 98300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4643*o + u + 176 = -4654*o, -3*o + 4*u - 48 = 0 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 4*f - 6. Let i be z(5). Let v be 1\/4 - 2\/8. Let y = v - i. Is 2 greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43385 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2434*k**2 - 10*k**3 - 5*k**3 + 2434*k**2 + 23*k**3 - 10*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 144188.3 litres?\nAnswer: 144188300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/7379 (b) 0.002 (c) 7 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04*1788480.\nAnswer: 71539.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18*(-95)\/(92340\/(-3294))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -353*l - 268*l - 789*l - 1316*l to the form r + y*l and give y.\nAnswer: -2726","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 - 3*q**2 + 3*q**2)*(-3*q**2 + q**2 + 3*q**2) + 2*q - 2*q + q**4 + 17*q**4 + 236*q**2 + 2348*q - 2348*q.\nAnswer: 16*q**4 + 236*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -370926108 - -370926183.0000165. Let h = -74.838 - 0.162. Let a = j + h. What is a rounded to 6 dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 65*f**2 - 9*f + 7. Determine n(1).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14297500 divided by 7?\nAnswer: -2042500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*k + 12*k - 3*k**2 + 69*k**2)*(20 + 60 - 52) as i + o*k + p*k**2 and give p.\nAnswer: 1848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*l + 1855*l**2 + 448*l**2 + 952*l**2 + 4*l + 4*l.\nAnswer: 3255*l**2 - 19*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 1:24 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - v)*(-41 + 15 + 16)*(0 + 2 - 1)*(14 - 8*v - 14).\nAnswer: -80*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 5*o = 4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 258 - 258. Let l(v) be the second derivative of v - 1\/3*v**3 + y + v**2. Give l(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 76 - 168*n**3 + 57*n**3 + 50*n**3 - 25*n + 62*n**3 as s*n**2 + i + q*n**3 + f*n and give f.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*r - 672 - 259. What is the lowest common multiple of 19 and r?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -287.8892301 take away -59?\nAnswer: -228.8892301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - p**2 + 4. Let n be k(0). Let s(b) = 3*b - 6. Let q be s(n). Let f = q + 6. What is the least common multiple of 8 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**4 - 14*f**3 - 543*f**2 - 1040*f - 512 = 0 for f.\nAnswer: -16, -1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30735 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4)*3584\/(-2048)*152\/(-7)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.07 - -0.07. Let y = c + 0.025. Let v = -2.275 - y. What is v rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6)\/11 + 1606527\/2277?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) 4 (c) -0.055 (d) 0 (e) 2535 (f) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 592283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -372 (b) -2 (c) 2\/13 (d) -1 (e) -79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1349\/2361 (b) -2\/7 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -250.1154 - -250. Let i = -97.874 - -98. Let u = i + a. What is u rounded to three decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41048 is divided by 74.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 93933 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -412316 or -412320?\nAnswer: -412320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1346481\/1722 - (-2)\/28 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -3, -0.2, -6, -1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 15) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2 + 4*i. Let u be f(-3). Let l(d) be the first derivative of d - 2 + 6*d - u*d - d**4. Differentiate l(g) wrt g.\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -398720.6 + 157999\nAnswer: -240721.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h**3 + 0*h**3 + 2*h**3)*(4 - 2 + 2)*(0 - 4 - 1) to the form k + m*h**3 + g*h**2 + n*h and give m.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21309156 and 7128.\nAnswer: 3564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.11479nm to millimeters.\nAnswer: 0.00000211479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50241383?\nAnswer: 5881, 8543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -337 (base 9) to base 15.\nAnswer: -137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j**2 + 7*j**3 + j**2 - 6*j + 0*j**3 - 6*j**3 - 28. Let k be h(-5). Solve -k*y + 4*y - 3*u = 1, 0 = -4*y - 2*u - 22 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of j**5\/20 + j**4\/12 + 125*j**2\/2 + 13*j. What is the remainder when r(0) is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*d + 37601 + 28189 = 4*d. Which is greater: d or 724?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.68 - -2.31. Let i = q - 3.9900197. Round i to 6 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j = -6*j - 51 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6485791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**5*x**4)**5\/((x*x**1*x)\/((x**2\/x)\/x)*(x*(x**6\/x)\/x)\/(x\/(x*x**(-3\/2)\/x*x))) assuming x is positive.\nAnswer: x**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/1 + 4 + -2. Suppose 41792*j = 42013*j - 884. Find b, given that 3\/8*b**2 - 3\/8*b**j + 1\/2*b + 0 - 5\/8*b**r + 1\/8*b**5 = 0.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1103.17 to the nearest 10.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178 + 755*p - 1510*p + 754*p.\nAnswer: -p - 178","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -143*w - 1750 - 109 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u. Let y(s) = 4*s - 5. Let a(t) = 2*t**2 - 17*t - 4. Let j be a(9). Calculate j*q(c) - y(c).\nAnswer: c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 200760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -360 - -366. Solve 8*v = g*v - 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 6*p**2 - 2*p + 3. Let l be m(-2). Differentiate -50 - l*w - 50 + 97 with respect to w.\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 72 = 2*c, -v = v - c - 144. Suppose -3*p + 307 = 307. Suppose -4*m - 8*m + 180 = p. Calculate the remainder when v is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3*s)*(-4*s + s + s) - 11*s**2 + 32*s**2 + 10*s**2 - 3*s.\nAnswer: 37*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -215 + 215.1. What is the third biggest value in k, 12, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, x: 1, j: 1, z: 7}. Give prob of sequence jzr.\nAnswer: 7\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 896626679.\nAnswer: 13, 1381, 49943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21829529 to the nearest integer?\nAnswer: 4672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve -167*w = -269*w - 5450 - 6116 + 4120 for w.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, h: 4, m: 2}. Give prob of picking 2 l and 1 m.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 8, -v = 489*z - 484*z - 340. Solve -v = -25*d - 41*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12162 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: How many millilitres are there in 31\/2 of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 48379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -0*t + 48. Let c = 17 + t. Suppose -3*v + 21 + 16 = c*w, -5*w = -v - 21. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 11) + (-38 - -14) + 28?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1678, -30, 245 in descending order.\nAnswer: 1678, 245, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4940208 by -10647.\nAnswer: -464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c**2. Let q(i) = 3*i**2 + 49*i. Calculate q(b(u)).\nAnswer: 48*u**4 - 196*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2924 and 238.\nAnswer: 20468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -i**5\/15 + 5*i**4\/24 - i**3\/3 - 43*i**2. Determine x(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 7:35 AM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -9. Does 15 divide p\/(-21) - 208\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 206309?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 54*b**2 + 66*b - 55. What are the prime factors of y(-15)?\nAnswer: 5, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 316819422 to the nearest integer?\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 4*n**5 + 1472*n**4 + 184284*n**3 + 8281440*n**2 + 53740800*n - 62208000 = 0.\nAnswer: -120, -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/335618 and 107\/1834.\nAnswer: 307761706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -204 + 222.4. Let j = c - 18. Let b = 10 + -6. What is the nearest to -0.3 in b, -1\/4, j?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 19 and -3599949.\nAnswer: -3599930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1058\/15 - 2\/15*y**2 + 92\/15*y.\nAnswer: -2*(y - 23)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, i: 6, b: 9}. What is prob of picking 1 i and 2 b?\nAnswer: 72\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 544, 542, 540, 538, 536?\n\"Answer: -2*p + 546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*n - 6*n - 170 = 0, 5*n = 5*r - 400. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 - -31. Let n = l - -15. Solve 5*o = -w + 4*w + 24, 0 = -3*o - 4*w - n for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1620) + 2*sqrt(1620) - -2*sqrt(20)*-2)\/((sqrt(60)\/sqrt(5)*-2)\/sqrt(3)).\nAnswer: -23*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*s = -6*s - 466, 0 = -4*x + 4*s + 932. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 2*t - 1. Let o(v) = -v + 0*v + 2 - 4*v - 1. Let z(a) = a. Let l(d) = o(d) + 4*z(d). Calculate l(j) + u(j).\nAnswer: j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 5*q - 100, p + q - 44 = -0*q. Is p a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**39\/h))\/h*h**9\/h*(h*h*h\/(h*h**(-1\/9)))\/h*h*h**(4\/9))**41 assuming h is positive.\nAnswer: h**(-10127\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 19, w: 1}. What is prob of sequence bb?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*v - 416 = 0, 4*d + v + v = 852. Find the second derivative of 4*r**3 + d*r - 9*r**2 + 193*r - 307*r wrt r.\nAnswer: 24*r - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 101 in -3, -19, -15, 0.07, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(3*sqrt(108))\/(sqrt(6) - (sqrt(6) + -4*(sqrt(6)*1 + sqrt(6)))))**2 + 0.\nAnswer: 81\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -30, 57, 334, 891, 1818?\nAnswer: 3205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/33 - 25\/132. Let z = 412\/7 + -60. What is the second smallest value in u, z, 4\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 8:27 AM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 572 - 575. What is the nearest to -6 in t, 2\/11, 3.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5*d + 797, -3*d + 846 - 41 = -p. Let n be (-4)\/(-30) - p\/285. Which is greater: n or 17\/10?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 108*l**2 + 30*l + 155. Is q(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 869*k**3 + 3482*k**2 + 62*k + 168. Calculate a(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 21*v - 25*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 27 or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -112.73 - -112. Round y to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 - 10 = h. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14017.2785 rounded to the nearest 100?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -532.496 + 550. Let g = -2.514 + q. Let l = -15 + g. Round l to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58104991?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 4*k**2 + 6*k - 2. Let q be (-10)\/(-2) - 18\/6. Let l be u(q). Suppose 0 = l*c + 2*o - 64, -3*o = -0*o + 15. Does 15 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -65773750 to the nearest one million.\nAnswer: -66000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a milligram in micrograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-28)\/2)\/((-2)\/4). Suppose -30*f = -j*f + 4. Let l be 3 - (-3 - (3 + f)). Solve 0 = 2*i + p, -5*i - l = -2*i + 5*p for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -2*w**3\/27 + 134*w**2\/9 - 8978*w\/9 - 718. Factor z(t).\nAnswer: -2*(t - 67)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454519 is divided by 271.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 - 9. Let d be ((-1)\/(-2))\/((-3)\/m). Let w be (-3)\/(d\/1)*-2. Which is the third smallest value? (a) -1\/4 (b) w (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 35\/12)*(-254 + 262). Factor -2*i**3 + 0*i - 2\/3*i**5 + 0 - 2*i**4 - a*i**2.\nAnswer: -2*i**2*(i + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z + 46*z = 608. Let y be (37 - (2 + -3))\/1. Let w = y - z. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(90) - -3*sqrt(90)*4)\/sqrt(2))\/(sqrt(90)\/(sqrt(90)\/(sqrt(9)*-5))).\nAnswer: -13*sqrt(5)\/5 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 460 and 17620?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-14))\/((-22)\/(-693)*18).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*s + 25. Calculate the least common multiple of s and 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-9*2\/24.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*l - 1942 = 29*l + 6266. Which is the closest to -1? (a) 1\/5 (b) l (c) -1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 - 4*y**2 + 4*y**2)*(5 - 5 - 3*y**2) - 3*y**4 - 10*y**3 + 10*y**3.\nAnswer: -6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -55\/14 and -5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.009 + 0.009. Which is the nearest to 0.1? (a) r (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2191, 4372, 6555, 8740, 10927, 13116?\n\"Answer: h**2 + 2178*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 399263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*i - 504 = -35*i - 36*i. Solve -14*r - i = 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -18*h**3 + 2*h**2 + 2*h + 1. Let u be n(-1). Let p = -18 + u. What is the greatest common divisor of 5 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 2251051.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 q, and 1 i when four letters picked without replacement from zzqzzshiqqqiqzhh.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 3. Differentiate -y**2 - 3*y**x + 4 + 8*y**2 wrt y.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k + 12. Let g be ((-10)\/(-25))\/(1\/(-30)). Let y be l(g). Suppose 44 = 2*m + 6. Solve v + y*v + m = 5*z, 0 = -v + 4*z - 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76704, 153406, 230106, 306804?\nAnswer: 383500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17.2 - 11. Let n = -6 + p. Which is bigger: n or 0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**4))\/(z\/z**(1\/10))*(z**(-2\/7))**(-25) assuming z is positive.\nAnswer: z**(717\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 132*q**2 + 202*q - 9300. What is j(131)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3*z = 5*r + 4, -3 = -5*r + z. Let q(k) = 7*k - 1. Calculate q(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 3*o**2 - 6*o - 5. Let v(b) = -b - 4. Let q be v(0). Let y be d(q). Suppose 0 = y*k - 5*k + 30. What is the remainder when k is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54630 divided by 5.\nAnswer: 10926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 2*x + 1. Let u(j) = 3*j**2 - 6*j - 3. Let s(b) = 17*a(b) + 6*u(b). Give s(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/(f\/f**5)*f)\/f)\/(f*f**(-19)))\/(f**16*f**15*f) assuming f is positive.\nAnswer: f**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 1\/6, -3, -2, -1.1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5*3\/6*-2. Let u = w - 5. Solve -3*z = -3 - u for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 18 - 24, -44 = -4*l + 4*h. Let d be (-5648)\/(-144) - l - (-4)\/(-18). Solve 0 = 28*m - d*m - 9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7394\/3, 1, 26 in ascending order.\nAnswer: 1, 26, 7394\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 495 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**3 - x**3 + x**5 + (1 - 1 - x)*(-3*x**3 + 3*x**3 + 2*x**4) - 2*x**5 - 3 + 3 + 0*x**5 - 4*x**5 + 2*x**5 + 73*x**5 + 761*x**5 - 73*x**5.\nAnswer: 756*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = -5*v + 2*a, a + 2 = -2*v - 32. Let h = v + 41. Suppose 2*r - 4*r + h = 4*p, -10 = 5*r. Solve 3*f - p = -19 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124.4932 minus 129963620?\nAnswer: -129963744.4932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215700.\nAnswer: 2, 3, 5, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 341\/5, 3844, 0, 4 in descending order.\nAnswer: 3844, 341\/5, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.3732919ms?\nAnswer: 0.0003732919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4 - 517*u + 464*u - 1.\nAnswer: -53*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2, -7, -3, -24.945?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*v + 50*v + 16 = 0. Which is the third biggest value? (a) v (b) -3 (c) 16 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 1\/3*j**2 + 0 + 1\/3*j = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u + 0*u + 6*u**2 + 5*u.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-68)\/10 + (-15)\/(1875\/(-100))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13.41 - 1.04. What is u rounded to 0 decimal places?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-370)\/(-111))\/(16\/6)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 5*l**2 + 10*l - 3. Let c(n) = n**2 - n + 1. Suppose -3*u + 8 + 1 = 0. Let w(q) = u*c(q) + m(q). What is the second derivative of w(d) wrt d?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11788 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 7*x**2 + 7*x - 12. Calculate the remainder when 109 is divided by f(7).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*c = -6, 4*n + 3 = c + 6. Solve -w + 5*w - 4 = n for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 12:33 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 9*q**2 - 6*q - 12. Let x be s(8). Suppose -23 = x*g - 7. What is the nearest to 1 in 1, g, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2798 is divided by 61?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 26199108, 52398199, 78597290?\n\"Answer: 26199091*q + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 179985 divided by -5.\nAnswer: -35997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 181, 403, 703, 1075, 1513, 2011?\nAnswer: 2563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 8*f**2 + 7*f. Let m(i) = 135*i - 3*i**2 + 2*i**2 - 136*i. Give -14*m(x) - 2*u(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 94*m**3 - m - 5. Let d = 10438 + -10443. Let t(b) = 141*b**3 - 2*b - 8. Give d*t(x) + 8*r(x).\nAnswer: 47*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-361)\/45 - (-468)\/585 and 41\/23?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 10*w**2 + 15*w - 70. Determine y(11).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11252.\nAnswer: 2, 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (23\/414)\/(24\/(-1341)) and (-73*2\/18)\/(-2).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 8. Let l be (o\/(-3))\/((-3)\/6). Suppose y = 2*y + 5. Sort l, y, 4 in descending order.\nAnswer: 4, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 5*v - 346, -4*p + 0*v + 443 = 3*v. Is p a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -206*c**2. Let k(d) = 1034*d**2 - 528*d**2 - 496*d**2. Calculate k(y(w)).\nAnswer: 424360*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-8) + (-55)\/(-20). Let r be 9 - (3 + -6)\/f. Let b be 23 - (2*2)\/(-2). What is the highest common divisor of b and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -13. Suppose 0*v - 10 = 2*v, -3*v + 21 = 4*s. Let h = m + s. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/(-9)*6\/(-4). Suppose 2*n + t = 41, -6*n + f*t = -2*n - 78. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -461*v**2 + 66*v**2 - 471*v**2 in the form u + k*v + g*v**2 and give g.\nAnswer: -866","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - -1. Let m be -2 + 3 + (5 - x). Suppose 2*d - 12 = -m*p, 3*p = p + d - 3. Which is greater: p or 1\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - (-1*sqrt(2) + sqrt(2)))*-2*-3 + 1*4*(-1 + sqrt(2)) - 4*-6*(sqrt(200)\/sqrt(4) + sqrt(50) + (sqrt(2) - sqrt(32)) + 4))**2.\nAnswer: 32752*sqrt(2) + 71832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -23*q**3 + 9*q**2 + 40*q + 7. What are the prime factors of d(-5)?\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11665, 11755, 11905, 12115, 12385?\nAnswer: 12715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21187 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-2\/7)*y**(6\/11)*y)**49 assuming y is positive.\nAnswer: y**(1526\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(r + 3*r + r)*(-2*r**2 + 4*r**2 + 0*r**2 + (r + 2*r - r)*(29*r + 4*r + 4*r) + (-2 + 2 + r)*(-1 - 2*r + 1)).\nAnswer: -740*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1258 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 11:23 PM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 420 + 1240. Let f = g - -126. What are the prime factors of f?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 422, 1660, 3736, 6656, 10426, 15052?\nAnswer: 20540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c103 (base 14) in base 11?\nAnswer: -75683","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 42159917, 84319836, 126479755, 168639674?\n\"Answer: 42159919*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 311372826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(84)*-1*5)\/(sqrt(432) + (sqrt(432)*1*1 + sqrt(432) - sqrt(432)) + sqrt(432)))**2 + 2.\nAnswer: 862\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -16*n**2 - 204*n + 562. Let m(r) = -r**2 + 21*r - 1. Let w(a) = 36*m(a) - 2*x(a). Let w(p) = 0. Calculate p.\nAnswer: 1, 290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -753956661*g*m - 120966242*m wrt g.\nAnswer: -753956661*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -4, 1.2, -1\/9.\nAnswer: -4, -0.2, -1\/9, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*(sqrt(700) + sqrt(700) + 1)*6 + -5)**2.\nAnswer: 44640*sqrt(7) + 3629761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/895002 and -75\/22.\nAnswer: 9845022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 848 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6027 times -56?\nAnswer: 337512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.35 + 1.25. Which is the second smallest value? (a) v (b) 9\/4 (c) -1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*a + 90*a - 36 = 0. Suppose 5*o - a*o = 49. Let u be (76\/(-133))\/(2\/o). Solve h + u*h = 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d + 4*d - 3 - 4*d - 3*d**2 + 5*d + d**3. Let y = 420 + -417. Give c(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/16028012 and 19\/280.\nAnswer: 160280120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 8275\/(-7315) - ((-180)\/114)\/15?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ovyvvnvokwywyn. What is prob of sequence ykn?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -197 + 328. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30278.01 to the nearest one hundred.\nAnswer: 30300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1210421657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -72 + 89. Solve 14*p + 6 = i*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2084, 3628, 5172?\nAnswer: 6716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a day in minutes?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 15449, 125080, 423053, 1003538, 1960705, 3388724, 5381765?\n\"Answer: 15695*r**3 + r**2 - 237*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 14*n + 699. Let q(a) = -9*a - 466. What is 8*q(t) + 5*s(t)?\nAnswer: -2*t - 233","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4\/4 - 2241*i**3\/4 - 9*i**2 + 20169*i.\nAnswer: i*(i - 2241)*(i - 6)*(i + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5}. What is prob of sequence eeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + -1*(-5)\/3. Let o be (58 - 3)*(-5 - (2 - -1)). Let t = o - -437. Which is the closest to j? (a) -1\/8 (b) t (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -4, 5, 3 in ascending order.\nAnswer: -4, 3, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -18, -42, -76, -120, -174?\n\"Answer: -5*r**2 - 9*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7964 divided by -95.\nAnswer: -7964\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19019 in -1\/5, -364, 1\/5?\nAnswer: -364","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -426 = 6*n - 3*n. Let s = -16 - n. Suppose 0 = -11*o + 187 - 33. What is the highest common divisor of o and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 12*y**5 - 39*y**4 - 8433*y**3 + 2199*y**2 + 29481*y + 18900 = 0.\nAnswer: -25, -1, 9\/4, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.771 - -0.371. Let p = r - -1.9. Which is the closest to p? (a) -3 (b) 0.4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000091876643 rounded to 6 decimal places?\nAnswer: -0.000092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 4 (c) 18 (d) 3\/2 (e) 2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*h - 165 = -47*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 450, 6, 54 in decreasing order.\nAnswer: 450, 54, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.241167 years to months.\nAnswer: 98.894004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 117218706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 12*c - 7. Let t(p) = -1. Let a = -8247 - -8246. Calculate a*r(i) + 5*t(i).\nAnswer: -i**2 - 12*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -214, -492, -884, -1390, -2010?\nAnswer: -2744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(2\/11)*j*j)*j*(j**32*j)\/j)\/(j**16*j\/(j*j\/j**(-2\/19)*j)) assuming j is positive.\nAnswer: j**(3746\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 2121*g = 2124*g + 12, -3*g - 12 = -2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 6, 29*i - 28*i - 2*p + 6 = 0. What is the biggest value in 1, 0.3, 0.02, 2\/7, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -3.6. What is the second biggest value in -5, -1\/9, f?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r + 2. Suppose 5*l = 3*x + 4, 2*l + 3*x + 2*x = 14. What is a(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 3:42 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-5)\/(9\/((-162)\/45)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1516 + 1517. Solve 4*q + 20 = -4*z, 2*z - s = -5*q - 23 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2672533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n**5\/7 - 8102*n**4\/7 + 41810*n**3\/7 + 40262*n**2\/7 - 1380*n = 0.\nAnswer: -1, 0, 1\/5, 6, 805","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(405) + 0 + sqrt(405) + 2 + sqrt(405))**2.\nAnswer: 108*sqrt(5) + 3653","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2*(-564)\/180 + 5 + 1 and 1\/252.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23ad (base 16) to base 2.\nAnswer: -10001110101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 37 = -5*a + 12, 5 = -a. Suppose 4*l + 212 = 4*h, b*h + 5*h - 4*l = 260. Is h a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 11*f**2 + f + 11. Let c(v) = -v**2 - 7*v - 4. Let o be c(-3). Suppose -5*a - 47 = o. Let z be r(a). What is the closest to z in 2, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l**4 + 45*l**3 - 140*l**2 + 180*l - 80 = 0. What is l?\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, -2079, 0.02.\nAnswer: -2079, 0.02, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4095 - -3987.45. Let j = -112 - l. Round j to 1 dp.\nAnswer: -4.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*2\/4*2\/1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2286876891?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -722 + 363. Let f = q - -383. Let a = 35 + -14. Calculate the lowest common multiple of a and f.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1241*p**2*z**2 - 2*p**2*z + 247*p + 3*z**2 wrt p.\nAnswer: -2482*z**2 - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z = 262*w - 4475, -22*z - 37 + 5 = -17*z - 4*w + 21 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, z: 2, a: 1, u: 1, k: 3}. Give prob of picking 1 a and 1 l.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-51)\/(-68))\/(0\/(-5) - 4\/32)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -8*f + 4*f - 10*f**2 + 14 - f**3 - 4*f. Let y be d(-9). Suppose -4*s = s + y*w - 145, s = -3*w + 21. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 92103, 92105, 92107?\n\"Answer: 2*j + 92101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7631, 30501, 68647, 122069, 190767, 274741, 373991?\nAnswer: 488517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -14. Let v = l - -35. Let x = 22 - v. Which is the closest to x? (a) 2\/5 (b) -4 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-39)\/18 + 1\/6. What is the units digit of (2\/h)\/(5\/(-30))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*z - 469198*z**2 - 3*z**3 + 469198*z**2.\nAnswer: -3*z**3 + 9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 a when three letters picked without replacement from {y: 2, c: 1, j: 1, a: 11, h: 2, m: 2}?\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30*30\/(-200)*-1*2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 400395 and 44140.\nAnswer: 3534687060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 3*c + 0*c)*(-2 + 6 - 2) + 0 + 0 + 2*c + 0*c - 2*c + 3*c + (4 - 4 + 1)*(3*c - 3*c - c) + 2*c + 3 - 3 + 4*c + 5*c - 5*c - c - c + 3*c - c + c - 2*c.\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of 1 + 5\/2*m**2 + m - 1\/3*m**3. Let p be -1 + (-12)\/(-8) + 7\/2. What is g(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -103 - -150. Suppose -169 = 4*b + m. Let p be b\/(-10) + (-6)\/15. Solve -p*s - i = 10, 4*s - 5*i + 0*i - 21 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12715 + 12719. What is the smallest common multiple of r and 40004?\nAnswer: 40004","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25.8 - -10.7. Let d = 15 + f. What is the third biggest value in 14, d, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 774 and 193364206.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**3 - 3*x**3 + x**3)*(-1 + 1 - 1) - x**3 + 0 + 0 + 0*x**3 + 3*x**3 - 2*x**3 + 844*x - 6 - 1709*x + 0 + 863*x - 3*x**3.\nAnswer: -4*x**3 - 2*x - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 39 + (9 - (8 + 14)) + (-3 - -14)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - m + 4*a = -8, 4*m - 3*a = 19. Suppose 3*i - m*i + 1811 = 0. Suppose 3*h - 454 + i = 2*g, 0 = -g - 4*h + 673. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11, 6, 2\/11, 4758\/7, -5?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98207.72ng to kilograms.\nAnswer: 0.00000009820772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(((o\/o**(3\/7)*o)\/o)\/o)*o*o**(-1)*(o*o\/(o*o**0))**(-8)*(o\/(o\/o**1))**(-16\/9)\/((o*o**(-1\/6))\/(o**(-2)*o)) assuming o is positive.\nAnswer: o**(-1283\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 2:01 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 24*s**2 + 68*s**2.\nAnswer: 44*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 2667*s - 2669*s + 63 = 0, 8*s = 288 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -2*o + 6*o + 16, -5*z = -o - 28 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30542632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -14*r**2 + 32*r**2 - 13*r**2 - 6*r**2. Let c(k) = 6*k. Calculate c(f(y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide -1*(0 + -4 + -39)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15\/31 + 61\/62. Suppose -1 = -5*q + 3*v, -q = -3*v + 5*v - 8. Factor u*a**3 + 1\/2*a**4 + 0 - 2*a - q*a**2.\nAnswer: a*(a - 2)*(a + 1)*(a + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -475 + 101*z + 475.\nAnswer: 101*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) -6 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -73 + -211?\nAnswer: -284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 39 = -0*r. Calculate the remainder when r is divided by -5 - (-5 + 1) - (-19 - -13).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-320)\/(-120))*(-76)\/(-6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*z - 4*q + 1364, 5*q - 1820 = 4*z. Let t = z + 8738\/19. Let l = 0.8 + -3.8. Which is the second smallest value? (a) l (b) t (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1456087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of 2*y**6\/3 + 17*y**5\/10 - 7337*y**2\/2 - 11204*y. Find the first derivative of i(l) wrt l.\nAnswer: 80*l**3 + 102*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1558063 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 392, 491, 768, 1313, 2216, 3567, 5456?\nAnswer: 7973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2363, 6379, 12045, 19355, 28303?\n\"Answer: -y**3 + 831*y**2 + 1530*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 939.\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1734, 1724, 1700, 1656, 1586, 1484, 1344, 1160?\nAnswer: 926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 189*y**3 - 49*y**2 + 49*y**2 + (3*y**2 + y - y)*(-3 + 3 - 2*y).\nAnswer: 183*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1533 a factor of 16419963?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120122222 + 102?\nAnswer: -120122120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -14, -11, -7, -1 in decreasing order.\nAnswer: 0, -1, -7, -11, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 57 = 95. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -a**4\/6 - 7*a**3\/18 - a**2\/6 + 818*a. Factor k(n).\nAnswer: -(n + 1)*(6*n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-80)\/84 - 8\/(-28). What is the closest to 2 in r, 1\/8, 4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3.2, 2, 3, 2\/7 in decreasing order.\nAnswer: 3, 2, 2\/7, -3.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*a + 4*p = -39*a - 9, -2*a = -3*p - 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 64*l**2 + 1506*l - 80. Give b(18).\nAnswer: 460","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1093070?\nAnswer: 2, 5, 11, 19, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7829.908 grams in tonnes?\nAnswer: 0.007829908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-42) + (-216)\/(-28). Find the third derivative of 1245*h**3 + h**6 - 1240*h**3 - 2*h**6 - j*h + 5*h**2 wrt h.\nAnswer: -120*h**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/10 - (3 - 51\/15).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*t + 3115 = 38*t + 455 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(22) - (2*sqrt(198))\/sqrt(9))\/(sqrt(891) + sqrt(891)*2 + sqrt(891)).\nAnswer: -1 - sqrt(2)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15640, -15641, -15642, -15643, -15644, -15645?\n\"Answer: -h - 15639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*v - 199 = -56 + 25. Solve -v*m - 123 = -130 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(6\/13)*f**(-2\/3)\/f)\/(f**(-25)\/(f\/(f**(-3\/8)\/f))) assuming f is positive.\nAnswer: f**(8477\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -62\/61421 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.187 times -4.47?\nAnswer: -0.83589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**4 + 3474*a**3 + 614523*a**2 + 1819296*a + 1208244 = 0. Calculate a.\nAnswer: -941, -214, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4511)\/(-7981))\/(18\/69).\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, v: 5}. What is prob of sequence gv?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.00938, 0.22, -3 in descending order.\nAnswer: 0.22, -0.00938, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 6*(sqrt(7) + sqrt(14)\/sqrt(2)))*-5)**2.\nAnswer: 600*sqrt(7) + 25225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 43 (b) 0.3 (c) 3 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.71 and 0.0266 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/7, -0.5, 1\/6, 151, -64?\nAnswer: 151","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 511*b - 64682. Determine u(242).\nAnswer: 416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 15.496644 milliseconds?\nAnswer: 0.0002582774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sgogpiigppsg. What is prob of sequence ppgs?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 7:15 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -24*l**2 + 20 - 8*l**2 - 5*l - l + 38*l**2 - 8*l**2 = 0.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170 = -5*u, 70*u = z - 1453 - 927 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 770430683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i + 12*i + 4*i + 180 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/19 at most as big as 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*i**2 + 2*i**3 + 13*i**2)*(-14*i**2 + 267 - 267).\nAnswer: -28*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -4*z + 2. Let f = z - 2. Suppose -d - d + 2 = f. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.2 (b) -23 (c) -14 (d) -4\/17 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-3)\/(-6)*1)\/(70\/(-20))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -13 + 24 - 4\/1*1. Suppose -5*b - 3*x + 650 = 0, -3*b + 5*x = -s*b + 520. Does 10 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 - -49. Let b = 1 + 14. Calculate the remainder when h is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -8 - (-14*130)\/10. Solve u = 4*o + 166 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 370 + -190. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of 17*k**6\/20 - k**4\/24 + k**3\/6 + 18*k**2. What are the prime factors of a(1)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12.7*-5931\nAnswer: -75323.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 1 - 3 - 22*b**2 as t*b**2 + w*b + d and give t.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 4\/7, -2\/9, 1, -20?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-24)\/(-15))\/(-4)*10. Let n(x) = 3*x**2 + 9*x + 5. What is the tens digit of n(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 0.34.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p - 27*p**3 + 10*p**3 - 5*p + 4*p**2 + 1 + 12*p**3. Let v(w) = -6*w**3 + 5*w**2 - 3*w + 1. Determine -4*v(q) + 5*y(q).\nAnswer: -q**3 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b**3 - 7*b**2 + 20*b + 21. List the prime factors of y(-7).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -430*c**4\/3 + 2722*c**3 + 27596*c**2\/3 - 174208*c - 4864\/3 = 0. What is c?\nAnswer: -8, -2\/215, 8, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/8 + 46\/4. Let t be 2\/k + (-57)\/(-15). Solve -24 = 5*l + o - 0*o, 3*l - 4*o - t = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eighty-nine halves of a century?\nAnswer: 53400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*c + 90 = 31*c. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -4\/5, -2\/11, -7, 91.49, 2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 126 and 1242?\nAnswer: 8694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*x - 61 + 61)*(-4 + x - 6*x + x).\nAnswer: 164*x**2 + 164*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -x**4\/2 - x**3\/2 + 6*x. Factor o(y).\nAnswer: -3*y*(2*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -166666*x + 3. Let f be a(-3). Suppose -3*s - s = 16, -3*d + 3*s = -21. Let r be f + (1 - 6\/d). Round r to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/2 of a microgram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3231 (base 4) to base 14.\nAnswer: 12d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x + 19*x**3 - 4 + 9*x - 21*x**3.\nAnswer: -2*(x - 1)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vl when two letters picked without replacement from {l: 4, v: 14}.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 498\/(-166)*(-8)\/6*-1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 5*u - 4*u - 3, 6 = 2*s - 4*u. Suppose -5*t = -n + 132, 2*n + 2*t = -s*n + 741. What are the prime factors of n?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1076 is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 7:30 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m - 1. Let d(k) = -864*k**2 - 35 + 874*k**2 - 8*k - 27*k. Calculate 3*d(v) - 105*s(v).\nAnswer: 30*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 14\/2 - -2. Solve -c*w + 6 = -10*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -128 (b) -0.4 (c) -1\/3 (d) 29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10135413 and 13572.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*w - 29*w = -31*w + 368. Put -9, 4\/7, w in descending order.\nAnswer: 4\/7, -9, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -t. Let v = 17 - 13. What is the second derivative of -x + 5*x + t*x + x**v wrt x?\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of 11*s**3\/6 - 2*s. Let c(x) = 3*x - 12. Let q(w) = -w + 2. Let i(l) = c(l) + 6*q(l). Calculate d(i(t)).\nAnswer: -33*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from {q: 5, d: 5, n: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93744373?\nAnswer: 61, 1536793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -73 - -104. Suppose -g = -m + 32. Let x = -2\/411 + -319\/137. Which is bigger: g or x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 36*(-4)\/(-18) - 15. Let u(v) = -3 - 13 - 10*v + 2 - v**2. Calculate the remainder when 20 is divided by u(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/32 and 131\/1840.\nAnswer: 3680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2082766845?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 11*h - 8*h. Let w = 7 - 2. Suppose w*o = o + h. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 135.06 - 133. Let q = 0.06 - t. Which is the nearest to q? (a) 0.1 (b) 2\/7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/6489 and 44\/50511303?\nAnswer: 353579121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(1\/(-6) - 0)*168\/2352?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -12 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 6*u**2 + 7. Let p be 4650\/(-330) - 1\/(-11). Let g be 10 - (2 + -4) - -2. Let x = p - g. Let b(r) = -r**2 - 1. What is x*b(d) - 4*s(d)?\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/444 and 103\/12.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - -1)*6\/(-4). Let i = o - 2. Let p = -283459 + 283459. Put i, -51, p in decreasing order.\nAnswer: i, p, -51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/35 - (3792\/112 + -34).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uvuuvuuuvvuvuuvv. Give prob of picking 1 v and 1 u.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -15. Let q = w + -2. Let i = 195 + -194. Solve i = l - m, q*l - 5*l = 3*m - 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5\/7, -3186, 5, 249?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 10:12 AM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6692*c*z - c - 18088*z wrt c?\nAnswer: 6692*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23103203 + -3?\nAnswer: -23103212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -13 + 7 + (3 - 10).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9772\/61 or -159?\nAnswer: -9772\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - -8 - 6466\/793. Let f = 0.3 - 0.4. What is the closest to 2 in f, 1, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -4, 0.4, 1\/3, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4*c + 3*c + 0)*(-7*c**4 - 36 + 36).\nAnswer: 7*c**5 - 7*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26713996 + -69513996. Round u to the nearest 1000000.\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1571 + 172131?\nAnswer: 173722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**7*(h*h**3*h)\/h)\/(h\/(h**(-1\/5)\/h)*h\/(h\/(h*h**(-6)\/h*h))))**(-1\/15) assuming h is positive.\nAnswer: h**(-23\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-114))\/((-3)\/((-252)\/28)).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -11*a - 2. Let m be z(2). Let w be m*(4 + 18\/(-4)). Solve 12 = -2*d + 4*n, w = -d + 3*n + n for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1492065 divided by -298413?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 50135 + -1422?\nAnswer: 45413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 11 - (3 - 2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105, 459, 1047, 1857, 2877?\nAnswer: 4095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**3 - 3*y**3 + y**3 + (27 - 27 + y)*(153*y**2 + 31*y**2 - 36*y**2) + 0*y**3 + 0*y**3 + y**3.\nAnswer: 147*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 127*m**3 - 198*m**3 - 14.\nAnswer: -71*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 54 = -2*d. What is the least common multiple of 33 and d?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(2299)*1 + 3)*-6 + (4 + sqrt(2299) + 3 - (5 + sqrt(2299) + sqrt(2299) + -2)))**2.\nAnswer: 84656*sqrt(19) + 3158147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32\/11*l**4 + 6\/11*l**5 + 46\/11*l**3 - 56\/11*l - 16\/11 - 12\/11*l**2 = 0. What is l?\nAnswer: -2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1266 and 3827118?\nAnswer: 1266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/29)*z\/((z*z*(z**(-4\/13)\/z)\/z*z)\/z) assuming z is positive.\nAnswer: z**(467\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -64223071*i**2 + 6570*i + 781?\nAnswer: -128446142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 - (-4)\/(-2))*(-4)\/6. Suppose h + 361 = 3*f, 0 = -f - 0*f - g*h + 142. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(144)\/(sqrt(9)\/sqrt(3)) - (sqrt(363) - (sqrt(363) + -2)**2*6).\nAnswer: -271*sqrt(3) + 2202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16\/345 + 2\/15. What is the smallest value in 0.5, 1, c, 1\/6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.9385714932 take away 0.5?\nAnswer: -58.4385714932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 35\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 6*k**2 + 1623*k + 11288. Determine p(-7).\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11077 to the power of 1\/2, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -8277\/7 at least -1182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 10 = -c. Suppose -31 = -3*w - 2*f, w - f - 34 = -c*w. Calculate the remainder when w is divided by 4\/(8\/6) + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-6)*(-99)\/22*35\/(-35).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 257631384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of 0*q + 0 - 4\/7*q**3 + 3\/14*q**6 - 39\/70*q**5 + 16\/21*q**4 - 5\/147*q**7 - 36*q**2. Let s(n) = 0. What is n?\nAnswer: 2\/5, 1, 6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -925 - 22*z**3 + 925.\nAnswer: -22*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3*x = 1368942, 147310 - 694866 = -2*u - 4*x. Suppose -u + 3786 = 3*f. Round f to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r + 0 + 0 + (17 - 17 + 5*r)*(0 + 2 - 1) - 2*r + 6*r - 2*r to the form b + f*r and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 - 19 = 14*t. Suppose -o - 3 - 8 = 3*h, -6 = 3*h. Put 8, t, o in descending order.\nAnswer: 8, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1254 + 1296. Suppose r = -3*i + 2*i + 4, 0 = 4*r - 2*i + 8. Suppose -5*x + 23 + d = r. What is the highest common factor of 65 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -v**3 + 12*v**2 - 1264*v - 64002 wrt v?\nAnswer: -3*v**2 + 24*v - 1264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8830 and 106239911.\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a millennium in months?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 5*o. Let d be (-112)\/(-32) - (-2)\/(-4). Let l be ((-7)\/3)\/(d\/(-9)). Let x be v(l). What is the greatest common factor of 70 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of b**7\/7 - 27*b**5\/5 - b**4\/4 + 88*b**3\/3 + 3*b**2 - 5*b - 3451. Find the third derivative of j(i) wrt i.\nAnswer: 120*i**3 - 648*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y = -8*y. Let c be (-28)\/(-7) - 2\/(-2). Suppose 70 = c*r + 20. Solve y = 2*z + r for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*k = -24. Suppose -137*z + 189 = -130*z. Suppose 3*p + 4*l = z, 4*l + 2 = -p - l. Solve d = m - k, -4*m = 5*d + p - 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + y = 4. Let x = y + 1. Let t(d) = d - x*d + 2*d. Let p(w) = w. What is p(t(a))?\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) - (sqrt(200) + -1))**2 - (sqrt(2) - sqrt(72)*-2).\nAnswer: -13*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(3 + 128\/(-44)). Calculate the greatest common divisor of 121 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2500 + 2527. Suppose -5*l = 45 - 20, -341 = -4*a + 5*l. Calculate the remainder when a is divided by o.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -18*f + 2912. What are the prime factors of q(0)?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v - 9 = 9*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -36+0.25\nAnswer: -35.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*u + 20. Let r(j) be the first derivative of -1\/2*j**4 + u*j**2 - 1\/5*j**5 + 0*j - 1\/3*j**3 + 2. Factor r(m).\nAnswer: -m**2*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/3 (b) -0.5 (c) 38\/13 (d) 0.4 (e) -27 (f) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of c - 17*c**3 + 14*c + 21*c**3 + 10*c. Let i(l) = -l. Give p(i(z)).\nAnswer: -24*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5730176?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 107903 = 5*o, -162*o + 2*t + 21595 = -161*o. What is the hundreds digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -4 + -3 - -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3802, 3759, 3644, 3421, 3054, 2507, 1744, 729?\n\"Answer: -6*q**3 - q + 3809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -526246 + 3*l + 526246.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 127\/7 + -979\/42. What is the common denominator of 37\/7 and k?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c - 15*c + c = -31614. Is 1437 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 2*q + 1, 3*h + 2*q + 1 = 24. What is the lowest common multiple of 1 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = o - 3. Let d be 1 + (-27)\/(-12) + o. Let 1\/4*s + d*s**3 + 1\/2*s**2 + 0 = 0. What is s?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 - -0.4. Let i = 4.94 - -0.06. Which is smaller: q or i?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 2:04 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05138458 rounded to 5 dps?\nAnswer: -0.05138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 11*g - 7*g - 15, 12 = -3*i + 5*g. Are i and -11 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, l: 2, a: 3, m: 4}. Give prob of sequence ma.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25905212 to the nearest integer?\nAnswer: 5090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 432 = -15*k + 19*k, -3*k = -5*c + 540. Let s(u) = -u**2 - 21*u - 29. Calculate the remainder when c is divided by s(-16).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 12:27 AM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 197559.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 28.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-14)\/(-4) + -2)\/(15\/30). Suppose 30 = -s*u - 3*u. Is 25 - u\/10*-1*2 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*n + 7320 - 1827 + 8911 + 68*n - 35*n.\nAnswer: 4*n + 14404","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 + 0. Let n = 16.9 + -2.9. Let g = 13 - n. Which is the third biggest value? (a) o (b) g (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 10*i - 2734*i**2 + 2733*i**2 - 1 - 11*i. Give o(-6).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66550, 66554, 66558, 66562?\nAnswer: 66566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence byab when four letters picked without replacement from {n: 1, z: 1, y: 2, x: 5, b: 2, a: 2}?\nAnswer: 1\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 370*a**2 + 375*a**2 - 994*a**2 + 245*a**2.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) - (5 + (sqrt(1377) - (sqrt(1377) + 3))))**2 + 4 + 1*sqrt(1377) - (2 + (-1 + sqrt(1377) + -2)**2 + 5).\nAnswer: -8 + 27*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -432 - -436. Put a, -2, 1, -19 in ascending order.\nAnswer: -19, -2, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9512, 43, -3\/8, -6, 3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 59.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -143*y**2 - 3*y**2 - 2223 + 2223 to the form v*y**2 + f + s*y and give v.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 4*o + 6. What is the derivative of 120*a**4 - a**3 + a**o - 80*a**4 - 2 wrt a?\nAnswer: 160*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 435325 - -21324?\nAnswer: 501053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, d: 1, c: 4, a: 1, y: 1}. Give prob of picking 1 d, 2 c, and 1 g.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(1 - 8\/12). Let a be 6\/q + -4 + 7. Let i be ((-2 + 8)*2)\/((-4)\/(-2)). Sort 0, a, i in descending order.\nAnswer: i, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, 3, 0.\nAnswer: 0, 3, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -m - 2. Let v be (-3)\/(-6)*4\/m. Let l = 11 + v. Does 4 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(0 + (5 + 2 + sqrt(242) - (sqrt(242) + 1 + -2))))**2 + 0 + 5.\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.26 - 0.52. What is h rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 + -127\/4. Let s = 712\/285 + -50\/19. What is the biggest value in s, -0.3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49671 minus 1099?\nAnswer: 48572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2719\/2046 + 92\/93. What is the common denominator of i and -143\/36?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3*159\/9*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -17*y**3 - 109*y**2 + 616*y + 600. Let c(g) = -32*g**3 - 199*g**2 + 1231*g + 1200. Let p(m) = -6*c(m) + 11*o(m). What is n in p(n) = 0?\nAnswer: -10, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (d + d + d)*(-1 + 5 + 1)*(-2 + 2 + 1)*(6*d + 7*d + 2*d) in the form j*d + l*d**2 + w and give l.\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.634863 decades to centuries.\nAnswer: 0.0634863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**2 - n**2 + 0*n**2)*(356 + 2*n**3 + 5012*n**2 - 5012*n**2).\nAnswer: 4*n**5 + 712*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.9 + -0.6. Let g = q - 0.2. Let k = -33\/16 + 9\/16. What is the nearest to g in k, -2, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2. Let y(o) = -340*o - 24. Let t(u) = -u - 3. Let j(r) = -8*t(r) + y(r). Calculate j(i(a)).\nAnswer: 332*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -231234*i**3 - i**2 + 8*i - 43954068?\nAnswer: -693702*i**2 - 2*i + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36953918?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, t: 7}. Give prob of picking 2 s.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 10:35 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1))**(2\/19))**(-10)*(j**(7\/2)*j**(-5\/3))\/(j**(3\/7)*j*j**(-2\/5)) assuming j is positive.\nAnswer: j**(7411\/3990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**3\/13 - 48*u**2\/13 - 178*u\/13 + 228\/13 = 0. What is u?\nAnswer: -19, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2089 less than or equal to -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 520 = u - 317. Let r = u - 472. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 - 0. Let f be (10\/(-25))\/((-23)\/5). Let n = f - -109\/69. Which is the third smallest value? (a) p (b) n (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -2542.581083307.\nAnswer: 2545.581083307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/1*1\/(-4). Let k be (-1394)\/(-408) + (-4)\/6. Is k smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -21 + -1 - (-2 - 5 - -1)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -15707, -15702, -15687, -15656, -15603, -15522?\n\"Answer: m**3 - m**2 + m - 15708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 4*x + 5*s + 3, 2*s = -x - 5. Let a be x + -2 + 10 - 1. Let j be (-6)\/(-8)*a + -1. Let m(d) = 3*d - 1. Calculate m(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11116 = -92*f + 26052. What is the remainder when f is divided by 144?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 l, and 1 q when three letters picked without replacement from zlqzzzkzo.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2806 = -7*u + 2757 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000837217 rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 5*b**2 + 4*b + 2. Let k = 40 - 33. Suppose -k*r - 3 = 25. Determine f(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of 0*l**4 + l + 0 + 0*l**3 - 1\/4*l**5 - 3*l**2. What is the first derivative of p(g) wrt g?\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -123 + 70. Let i = 33 - u. Let c = i - 428\/5. Sort -2\/7, 0.5, c in decreasing order.\nAnswer: 0.5, c, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 16, 7, -3889.\nAnswer: -3889, -20, 7, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -188146 + 399455. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 20 + 2083?\nAnswer: 20a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -605 - -1105. What is the hundreds digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 140343424330?\nAnswer: -140343424322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-119)\/476)\/(2\/(-152)) + -35.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*t + 71 + 37 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -5*p**3 + p**2 + 2*p + 1. Suppose 5*u + 5 = -0*u. Let w be a(u). Suppose w*r + 503 = 3*g - 225, 5*r = 2*g - 477. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.47 + 0.53. Let s = 6.04 - 0.04. Let m = p - s. Which is the nearest to -2\/9? (a) 0.5 (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -339*z + 2*z**3 + 19*z**2 - 763*z - 41*z**2 + 19*z**2.\nAnswer: 2*z**3 - 3*z**2 - 1102*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 1 = 4*t, -2*t = 5*u - t + 11 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000042845 rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 2 - 2) + 6. Find the common denominator of (-4)\/6*(-97)\/f and ((-23 - 9308\/(-104))*1\/7)\/(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/3 - 31511300*x\/3 + 248240506922500\/3.\nAnswer: (x - 15755650)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*l**2 - 33 + 33 - 5*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 10:56 AM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -l**4\/6 + l**3\/3 + 2*l**2 + 9*l + 11. Let g(a) be the first derivative of t(a). Suppose g(m) = 0. What is m?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.073884359 - -0.07387. What is k rounded to six decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2594 - -1371. Let x = r + 1096.7. Let d = 134 + x. What is d rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -528.9243 - -529. What is f rounded to 3 decimal places?\nAnswer: 0.076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 22*t - 27*t - 193 = 0, 0 = 4*m - 3*t - 272. Solve 0 = -22*n + m + 39 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1785008?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1174\/1085 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - b**2 + 5. Let l be (-32)\/8*(1 + (-10)\/4). Let q be (-2)\/l*(-7 - -7). Determine i(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3 = -5. Suppose -n*d + f + 0*f + 16 = 0, f = 5*d - 20. Let s = 29 - d. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-9))\/((-8)\/6). Let y = -8\/82885 + 9633357\/21964525. Let n = -19\/53 + y. Is i greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**3 - 119178*i**2 - 68133195*i - 9809040324 = 0. Calculate i.\nAnswer: -39148, -289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/7 + 904*k**2\/7.\nAnswer: 2*k**2*(k + 452)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pkpk when four letters picked without replacement from {k: 9, p: 10}.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 - 0.7. Let n = 0.4 + j. What is the nearest to -0.1 in n, -5, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/5*340\/408?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1780)\/(-6))\/((-66220)\/19866).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36 + 8207\/232)*(-2)\/10?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37594, 3, -17 in ascending order.\nAnswer: -37594, -17, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0584251 and 21105.\nAnswer: 21104.9415749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1123012012 (base 4) in base 8?\nAnswer: -1330606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 487?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 7:23 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minus -58157?\nAnswer: 58192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a - 16. Let s be v(8). Solve 3\/4*p**2 + s + 3\/2*p = 0 for p.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aiacceli. What is prob of sequence ccl?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*z - 2\/3*z**2 + 2\/3*z**5 - 2\/3*z**3 + 0 + 2\/3*z**4 = 0. Calculate z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3012302519\/573108 - 74\/47759. Let h = x + 5264. Find the common denominator of 346\/(-66) - ((-16)\/12 - -1) and h.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1837, 1450, 1065, 682, 301?\n\"Answer: u**2 - 390*u + 2226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 45*o**2 + 85*o - 420. Let h be x(-47). Suppose 0 - 3\/2*s - 1\/2*s**h - 1\/2*s**4 + 5\/2*s**2 = 0. What is s?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 26 + -47?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26? (a) 0.36 (b) 3\/5 (c) -3\/8 (d) 2 (e) -0.84\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8278\/3 + -2827. Let i = x - -67. Which is the smallest value? (a) -1 (b) i (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2819117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - 9) + (-1 + -2 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2812 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3.4, -2\/5, -3\/7, 0.02, -3, 9, 0.07?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/744 and 29\/7824?\nAnswer: 242544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 6*o - 3*x + 9 = 0, -x = -3*o - 3. Are -0.38 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 747*r - 3987 = 16182 for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -7 - (-13 + (11 - 3)). Let a(w) = 13*w**3 + 6*w**2 - 49*w. Let x(u) = -4*u**3 - 2*u**2 + 16*u. What is k*a(q) - 7*x(q)?\nAnswer: 2*q**3 + 2*q**2 - 14*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 + 21. Is 1\/f + 1186\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 12*g**3 + 42*g**2 - 4*g - 45. Give u(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5211 and 5878008.\nAnswer: 5878008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and (17\/3 - 5)\/((-1)\/(-18)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 24 = -4*h, -3*l = 5*h - 0 - 41. Let c = -10 - h. Let s = 19 + c. Solve 2*w + s = 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 12. Let u = -164 - -168. Solve -p*x + u*j = -j + 7, -16 = 3*x + 4*j for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*c + 16*c - 67*r = 36*c - 326, 16*c - 3*r - 33 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 540 and 216?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1159709393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8330.9 - -8331. What is the biggest value in 3, j, 4, -0.4, 18\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6*j - 4)*(-2 + 2 + 1)*(226*j + 467*j + 644*j).\nAnswer: -8022*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 - (-413)\/(-70))\/(26 + -27). Which is the second biggest value? (a) -6\/7 (b) s (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48205?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 496124929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3003 and 8463.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 10, 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x = -20*x + 84. Let v = 1 - x. Let t = 103 + v. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*l**4 + 2*l**3 + 2*l**2 - 588*l - 706733 wrt l.\nAnswer: -12*l**3 + 6*l**2 + 4*l - 588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of o**2*w + 8997*o**2 - 686*w + 8 wrt o?\nAnswer: 2*o*w + 17994*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40.062 - -0.062. Let k = n + -8. Is -1 smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 898 + 332. Suppose -4*m - 1845 = -3*u, 2*u - 6*m = -m + v. Let n = -257 + u. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -570 = -p - 4*p. What is the remainder when p is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 0 + (465 - 2) + 176\/(-22) and 364?\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - q = -2*z - 3, z + 5*q = 2. Let b = 39.9 - 40.9. Let g = 1436\/7777 - 2\/707. What is the closest to g in b, z, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-624)\/(-5512))\/((-36)\/12).\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-20 + -2) - 7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.37, 0.4, -0.3.\nAnswer: -0.37, -0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2059296.09314 less than -18?\nAnswer: 2059278.09314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -932000 rounded to the nearest ten thousand?\nAnswer: -930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-9)\/(-18) + (-14)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2 - 22294*d - 1232220.\nAnswer: 2*(d - 11202)*(d + 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 9*q - 9. Calculate the remainder when 153 is divided by p(11).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ba087 (base 13) in base 14?\nAnswer: 8a780","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1353471896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1507*t = -1504*t - 15. Let s(k) = k**3 - 6*k**2 + 7*k. What is s(t)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66610428 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 851\/8, -2\/7, -0.08.\nAnswer: -2\/7, -0.08, 851\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -3*b**3 + 5*b + 180. Let m(f) = 2*f - 18. Give m(s(i)).\nAnswer: -36*i - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-5*-2*sqrt(132))\/(sqrt(12) - (((sqrt(588) + 2*sqrt(588) - sqrt(588)) + sqrt(588) - sqrt(588)) + sqrt(588))))**2.\nAnswer: -55\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/27 + 50\/18. Let o(u) = -6*u**2 + 0*u + 2*u**2 - 3 + 4*u + 2*u**r. Let t be o(2). Solve 4*h = 5*i - h - 25, 0 = t*i + 4*h + 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**4*f)**(1\/38)\/(f\/(f**(-24)*f*f))**15 assuming f is positive.\nAnswer: f**(-13105\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 17*u**2 - 191*u - 958. Give a(15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85466.37ml to litres.\nAnswer: 85.46637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/(-15))\/((-1)\/(-6)). Is p\/(-6) + 760\/24 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h + 307 = 66*h + 42. Factor 0 - 3\/2*u**2 + 3\/2*u**4 + 1\/2*u**h - u + 1\/2*u**3.\nAnswer: u*(u - 1)*(u + 1)**2*(u + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of n**7\/1400 - n**6\/100 + 9*n**5\/200 - 15*n**3\/2 + 9*n**2 - 1. Let i(g) be the first derivative of k(g). Factor i(z).\nAnswer: 3*z*(z - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*i + 7*i - 10*i - 31*i to the form j + q*i and give q.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56)\/sqrt(4))\/sqrt(7) + 5 - ((sqrt(2) - (1*sqrt(12)\/sqrt(6) + sqrt(2)))*-1)**2) + -4.\nAnswer: -1 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 5 - 5*h + 13*h - 6*h. Let f be p(-2). Solve -9 - 11 = f*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 b when three letters picked without replacement from rvrvbb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qrsr when four letters picked without replacement from {r: 2, s: 1, g: 3, q: 3, e: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-198)\/(-330))\/((-54)\/20))\/(-1).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, e: 3, i: 1, v: 7}. What is prob of picking 1 h and 1 v?\nAnswer: 21\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert cf0 (base 16) to base 2.\nAnswer: 110011110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 184711876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/16 - (-66)\/(-8). Suppose 2*z = z - 12. What are the prime factors of b\/z*(5 - -3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/8546796 and -41\/685854?\nAnswer: 111108348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -464.000001315 - -464. What is b rounded to 7 dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 1 - 289*f - 5*f**3 + 6*f**3 - 6*f**2 - 3 + 293*f. Determine m(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 9) to base 5.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + sqrt(76)*-2*-1)**2 + 1*sqrt(76)*-3 + -5 + (sqrt(76)*2*4)**2.\nAnswer: -6*sqrt(19) + 5543","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.3, -3, -167?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g + 15. Let k(z) = -250*z**2 + 11*z + 9. Let f(h) = -84*h**2 + 4*h + 3. Let s(q) = 11*f(q) - 4*k(q). Give r(s(v)).\nAnswer: -152*v**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.891 + 11.\nAnswer: 12.891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*l + 0 - 2 - 46*l - 22*l as j + a*l and give a.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26800123463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -197559 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 325 = 3405. Let o = -613 + z. Solve 24 = -7*g + o*g - 2*r, 3*g + 4*r = -28 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7, 20, 33, 46?\n\"Answer: 13*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (-7 + 264\/(-36))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9024534 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 6. Suppose 39 = -m*w + 184. Does 10 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5534997, 11070023, 16605049, 22140075, 27675101, 33210127?\nAnswer: 38745153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.9 + 16.5. Let z = w + 69.4. Let x = 76.5 - z. Sort x, 5, -0.3 in descending order.\nAnswer: 5, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4281, -8555, -12819, -17073, -21317?\n\"Answer: 5*g**2 - 4289*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-6)*(-24)\/(-60)*3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + d - d - d + (3 - 3 + d)*(6 - 1 + 4).\nAnswer: 8*d + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 - -31. Let d(b) = b**2 - b - 10. Let k be d(f). Solve -3 = 5*w - k*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12003961 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: Find the common denominator of 155\/45126 and -19\/180504.\nAnswer: 180504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by -5.\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9116 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 17*b**2 - 101*b - 309. Determine x(-9).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20218452.\nAnswer: 2, 3, 29, 58099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 plus 220274494052?\nAnswer: 220274494052.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide (51741*(-16)\/(-432))\/((-1)\/12*-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 357 a factor of 25455171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/13)*u*u**(-1\/8)*(u\/(u**(-30)*u))\/(u\/(u**(-7\/5)*u)) assuming u is positive.\nAnswer: u**(15367\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 729 + 232. Calculate the highest common divisor of t and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2606503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -223*d**3 + 863*d - 2 wrt d.\nAnswer: -1338*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000501029309 rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 45a + -80?\nAnswer: 3da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8738 divided by 5081.\nAnswer: -8738\/5081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.6045904 to one decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -5*p - 83, -7*p + 45 = -10*p - 3*w. Let k be (20\/(-7))\/(p\/56). Solve -10 = -z + 3*l, 2*l - 2 = -k for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(72\/798) + 1\/(-6). What is the hundreds digit of (-1)\/1*(-3674)\/x - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 984*r**3\/5 - 3054338*r**2\/5 + 2370170944*r\/5 - 4817408\/5.\nAnswer: 2*(r - 1552)**2*(492*r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7071893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -134.86813 to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02155 to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -167 - -176 - (1 - -7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238*o = -3296 - 2654 for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 27 - 26 = 0. Let v be (-2 - -6)\/(d + -1). Let g(r) = 35*r**2 - 4*r - 1. What are the prime factors of g(v)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, n: 2, v: 1, w: 1}. What is prob of picking 2 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmimaiiaavicii. Give prob of sequence mc.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 68*s - 128*s + 82*s. Let m(x) = 5*x. Determine h(m(t)).\nAnswer: 110*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 1 + 1)*(-4*u + 2*u + 3*u) + 47 + 39*u - 47 + (-1 - 1 + 0)*(-3*u + 0*u + 2*u))*(0 + u**2 + 0 + (-4*u**2 + 5*u**2 - 4*u**2)*(0 - 1 + 2)).\nAnswer: -78*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.672256 rounded to one dp?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2512 + -2596.58. Let h = z - -84.5. What is the nearest to -1 in h, 2, 5\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*v + 4*o = 105, -4*o = 3*v - 71. Suppose -5*p + v = -8. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 123 - 212. Calculate the remainder when (3 - u\/5)*(-10)\/(-2) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1203428542?\nAnswer: 2, 8243, 72997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t + 9. Let y be i(-4). Let v = 1 - -1. Let z = 8 + -7.7. Which is the nearest to -0.3? (a) y (b) z (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.62156ml in litres?\nAnswer: 0.05762156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32 + 0)*((-36)\/8 - -7)\/5?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-3) + -4)\/(-3). Solve 2*f + z = -3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3*((1*sqrt(110)*-2 - sqrt(110)) + 3*(sqrt(110) - (sqrt(110) - ((sqrt(110) - -2*sqrt(110)) + sqrt(110) - sqrt(110)))))\/(2*sqrt(490)*3).\nAnswer: -2 - 3*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99 and 90936.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 1. Let i(c) be the third derivative of -c**5\/12 + 2*c**3\/3 + c**2. What is -4*i(q) + 18*y(q)?\nAnswer: 2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 132 + 36. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 12:45 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g - 3*g**2 + g**2 - g)*(-13*g + 17*g - 9*g).\nAnswer: 10*g**3 + 20*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1842984 divided by -204776.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 91 = 1. Let k = 10 - i. Let a(c) = -2*c - 12. Let d be a(k). Solve d*v = -v - 15 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + 21*t - 46. Determine l(-23).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s. Let l(i) = -5*i + 6. Let q(g) = 6*b(g) + l(g). Let y be q(0). Let m(x) = 3*x**3 - 7*x**2 + 4. Let z be m(y). Round z to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.3, -10, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -13*a**3 + a**2 + 5*a + 7. Is 14 a factor of i(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -53*p**2. Suppose -368 = 8*f - 12*f. Let s(w) = -f + 2*w + 92. Determine d(s(x)).\nAnswer: -212*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/((6\/3)\/2). Let t be j\/((-4)\/(-536)*-1). Let f = -85 - t. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2351857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 15. Suppose -s - 8 = -o*s. Solve 0 = 5*x - m - 2*m - 8, s = -4*m for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - (7\/4)\/(12\/(-96)). Let h = 17 - k. Suppose -2*q - 5*s + 85 = h, -2*s - 220 = -5*q - 7*s. What is the remainder when q is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 708 divided by -14\nAnswer: -354\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/3*(-27)\/18. List the prime factors of (-3 - a - 2)*-5.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25554*u**4 + u**3 - 52954 with respect to u.\nAnswer: 102216*u**3 + 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 2*x + x)*(-23*x**2 - 812*x + 812*x)*(5 - 5 + 2*x).\nAnswer: -46*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-27 - 1)*2. Let i be 16\/(-442) - (-4)\/(-34). Which is the closest to l? (a) 0 (b) i (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x\/x**(2\/3))\/x)*x\/x**(1\/8)*x*x**(1\/5)*x*x*x*x**(-6)*x)**(-34) assuming x is positive.\nAnswer: x**(-3553\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + r**2 + 13*r. Let f be z(4). Suppose -f*y + 1590 = 4*c - 106, 0 = -3*y + 2*c + 1282. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) - (sqrt(192) + 1)*1) + 4 + sqrt(432)*-5.\nAnswer: -60*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of x**7\/168 + x**6\/18 - 10*x**3\/3 + 5*x + 6. Let a(w) be the second derivative of v(w). Suppose a(h) = 0. What is h?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1204 take away -586619961?\nAnswer: 586618757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 6) to base 2\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y - 8*y + 12 - 2*y**2 - 2*y + 41*y**2. What is the hundreds digit of m(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18045 - 5491. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -3*f + 14*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -32100000 rounded to the nearest 1000000?\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*b**2 + 4*b - 4*b + 19*b**2 + 7*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2370, -2371, -2372?\n\"Answer: -s - 2369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 12:44 PM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3670893776 and 7888?\nAnswer: 7888","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 8 = -3*u - 13, 3*u + 4*w = -25. Let b be (u - (-21)\/6)*0. Round b to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 254?\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 4:08 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0957459 and 0.1.\nAnswer: -0.00957459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9119459?\nAnswer: 83, 109873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 876?\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 10*b - 77 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.56 + 24964016240.\nAnswer: 24964016239.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000001186 rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 9884340.\nAnswer: 29653020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**4 - 507*a**2*b**3 + a - 112*b**3 wrt a?\nAnswer: 24*a**2 - 1014*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, c: 4, e: 13}. Give prob of sequence cuec.\nAnswer: 13\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1b9610 (base 12) to base 16\nAnswer: 7872c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -211*l - 189*l - 1 + 1 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 816236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70069941?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53042893?\nAnswer: 71, 83, 9001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*m**2 + m - 2*m**2 - 2*m**4 + 4*m**2 - 6*m**2 - 1 to the form y*m**4 + l + s*m + k*m**2 + x*m**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*h + 29 = -5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1411600 rounded to the nearest one thousand?\nAnswer: 1412000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 372 + -367. Let i(k) be the first derivative of -7\/2*k**2 + 1\/3*k**3 + 1 + 4*k. Determine i(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.81565 - -3.983737. Round c to 3 dps.\nAnswer: 0.168","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 10*d**3 - 1691*d**2 - 1530*d - 60. Give z(170).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 6 + (-100 - -69 - -8).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 10744 = 18*f. Suppose 94*m - f = 102*m. Which is smaller: m or -77?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -10. Suppose j - 1 = v*c + 6, 4*c - 131 = -5*j. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62428?\nAnswer: 2, 15607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d + 209682 = 20*d. Suppose -12*c + 18*c - d = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + (sqrt(832) - ((0 + sqrt(832))*5)**2)).\nAnswer: -20797 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -20211 (base 3) in base 6?\nAnswer: -504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1893 + 2*q + 7*q**3 + 8*q**4 - 5*q**3 - 4*q**2 - 943 - 949 as n*q**2 + k*q**3 + t*q + m*q**4 + x and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -3\/2*w**2 - w**3 - 10 + 3\/4*w**4 + 3*w. Suppose b(y) = 0. What is y?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*z = -52*z + 97*z + 21. What is the greatest common factor of z and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 5*f - 6. Let g be x(6). Suppose -3*i = 3*h - 3, 0 = -h + 3*i - 15. Let y(s) = -s + 2. Let o be y(h). Solve g + o = -n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 19*g + 20. Let v be h(-20). Let 3*f + 7*f + 2*f + v*f**2 - 3*f**2 - 9 = 0. Calculate f.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 l when four letters picked without replacement from lllllullulullluullll?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, z: 5, x: 1, b: 3, p: 3}. What is prob of picking 2 c, 1 x, and 1 z?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*j - 25 + 20 - 44 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*t - t + 3*t)*(-8 - 10*t**2 + 8) - t - 2*t**3 + t - t**2 as g*t**3 + w + i*t**2 + f*t and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5471 - 5437. Let s = 29 - 15. What is the remainder when a is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -6*w**2 - 13*w - 21. Let p(q) = -7*q**2 - 12*q - 22. Let s(m) = -5*d(m) + 4*p(m). Let g be s(-7). List the prime factors of 0 - g - 55\/(-5).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 145 + -90. Let h = p + -35. Suppose 3*i = 56 - h. Solve -i = 5*k - 2*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 19 - 22)*(-3 - 5 + 4)*(-16*i**2 + 6*i**2 + 6*i**2).\nAnswer: -528*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 94, 234, 448, 730, 1074, 1474?\n\"Answer: -x**3 + 43*x**2 + 18*x + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4 = -5*h. Let p = 12 - 6. Let a = p + h. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -40\/37 (b) -1\/3 (c) -5 (d) -88 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2. Let q(i) = -8*i**2 - 3*i - 2. Let z(f) = 5*g(f) - q(f). Calculate z(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -4, -4\/9, -0.2, 7 in decreasing order.\nAnswer: 7, -0.2, -0.3, -4\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 31*(-2 + -3 + 6).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1969\/9 - -219. Let w = 1 - 6. Which is the smallest value? (a) w (b) j (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1278 a factor of 1127029860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-33) - 0) + 0. Sort 0.1, -3\/8, c in decreasing order.\nAnswer: c, 0.1, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19682559 is divided by 6560848?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 4 = -16. Suppose -q*c - c = -z + 21, -5*z = -3*c - 81. Let b(j) = -3*j**3 - 3*j**2 + 11*j + 4. What is the lowest common multiple of z and b(-3)?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*a = -6*a - 20, -5*d - 4*a - 20 = 0. Suppose d = -3*p + 2*p. Solve -h + p*h = -2*c - 1, 2*c + 5*h = 29 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 25, 28*f - 3*w = -144 - 319 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 3\/(15\/3565). Suppose 5*s - 2*u - j - 186 = 0, 540 = 3*s + 4*u. Let q be (s\/(-25))\/((-6)\/20). Calculate the highest common divisor of q and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 384, 1482, 3300, 5844, 9120, 13134, 17892, 23400?\nAnswer: 29664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(425) + 1).\nAnswer: 4 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*j + 9. Suppose -3 = 2*t - 5*a, 12 = 2*t - 4*a + j*a. What is the remainder when 21 is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 71*a + 66*a + 7 = 0, -12 = 16*o + 4*a for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c93f9 + e?\nAnswer: c9407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 70, -55, 0.12?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-506)\/46 - 22\/(-1)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - k**2 + k + 2. Let j be 0\/((2 - 2) + 1). Suppose j = -2*q + q. List the prime factors of d(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - w - 5. Let k(m) be the first derivative of -59*m**2\/2 + m + 11. Is k(w) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 1\/3, 0.4, 0.5, -164 in increasing order.\nAnswer: -164, -18, 1\/3, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**2\/4 - 109455*c\/4 - 109451 = 0. Calculate c.\nAnswer: -109451, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3 = -l - 2*l, 0 = 2*l - 2*z - 6. Suppose -4*s - 8 + 0 = l. What are the prime factors of 144\/5 - s\/10?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -88*u - 50. Let j = 421 + -428. What is the hundreds digit of h(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38*a + 28935 - 28251 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.111 - 1.011. Sort -12, v, -5.\nAnswer: -12, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.7090348020466 and 4.\nAnswer: 5.7090348020466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 3554 divide 16272836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2895 - -141899\/49. Which is greater: j or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5067.\nAnswer: 3, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (22 + -2)*3\/12. Let s = k + -5. Solve -3*m + 17 = 2*m + 3*a, 2*m - 4*a + 14 = s for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 d, and 1 x when four letters picked without replacement from pdpppxlpgxpppldpgdl.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ab + -415404?\nAnswer: -4154b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 - 3*i**2 + i**2)*(-48*i - 27*i - 11*i).\nAnswer: 258*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(-5 + 1 + 1)*(-4*p**3 + 3*p**3 + 3*p**3).\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -180*l**3 - 2524*l**2 - 56*l - 50. Calculate u(-14).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 313 = -j - 2*j, j = 3*x + 939. Round x to the nearest ten.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -7\/3 (c) 30\/13 (d) 42\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of x**4 - 12236*x**3 + 4*x**2 + 13839*x?\nAnswer: 24*x - 73416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-2) + (-1)\/(-2). Suppose 5*r - 25 + 35 = 0. Let x be (r - (3 - 1)) + 90\/24. Is z less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 5*v + 6. Let b = -99 + 94. What is c(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19034180 to the power of 1\/2, to the nearest integer?\nAnswer: 4363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 3. What is the smallest common multiple of 177\/12 - 63\/84 and (-3)\/2*h\/3?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 2341.\nAnswer: 2341","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 828 = 2*u - 2*r, -3*r = 5*u - 832. Is 41 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1775 - 1776. Let t = 8 - 11. Which is the nearest to n? (a) t (b) 0.1 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/(-14)*3)\/((-61)\/4270). Find the third derivative of -v*o**2 + 0*o**3 + 113*o**2 + 5*o**3 wrt o.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/9, -152.9, -1203?\nAnswer: -152.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1182 divided by -3?\nAnswer: -394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**3 + g**2 - 1. Let h = 2 + -3. Let p be l(h). Let a(z) = z**2 - z**p - z**2. Let b(v) = -2*v. Determine b(a(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-10) - 2\/(-20). Sort 3\/4, r, -0.3 in ascending order.\nAnswer: -0.3, r, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -290 - 2155*g**3 - 2142*g**3 + 290 + 4310*g**3.\nAnswer: 13*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, o: 2, g: 1}. What is prob of sequence oog?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/((-3*sqrt(72))\/sqrt(8)).\nAnswer: -sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2293118 is divided by 13410?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hnjntnhnntththhh. What is prob of sequence tt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*o - o. Suppose o - 14 = l. Let z = 11 + l. Which is smaller: z or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -1.968 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00745921891 rounded to five decimal places?\nAnswer: -0.00746","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h - 11*h = 2*a, 2*a - 3*h = 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 0 + 6)*(0 - 3 - 14)*((1 - 3 + 1)*(-3 - 2 + 3) - 2 - 4 + 4 + 4 - 6 + 1)*(-19 - 24 + 18)*(-2*l + 2*l + 3*l**2) as u + r*l + i*l**2 and give i.\nAnswer: -2550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 29009777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5013198 at most 5013194?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-114)\/(-3) + -21 - -26051?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(5) + 2)**2 - (-2*sqrt(30))\/sqrt(6).\nAnswer: -4*sqrt(5) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1340 and 160.\nAnswer: 10720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 17. Suppose 18 = 2*s - 2*b, 4*b = l*s + s - 31. Let c be (-9*4\/42)\/(8\/(-84)). Solve -s*w + 16 = -y, 5*y - 5*w + c = -11 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - ((-35340)\/72)\/31?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 230156.6l?\nAnswer: 230156600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 3*f - 15 = 0, -5*f + 4 = -3*x - 21 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 456066351 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -2 - 6 - -9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkd when three letters picked without replacement from {h: 9, d: 2, k: 7}?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of 3 + 2\/5*v**5 + 0*v**2 - 1\/4*v**4 + 0*v - 1\/6*v**6 + 0*v**3. Factor t(q).\nAnswer: -q**3*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 19)\/(-3) + -16*(-182)\/(-624). What is a in 0 + 8\/3*a**2 + c*a**3 - 32\/3*a = 0?\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 353*z**3 - 1583*z**2 + 16*z - 8. Let f(g) = 118*g**3 - 528*g**2 + 6*g - 3. Let p(b) = 8*f(b) - 3*x(b). Find the third derivative of p(q) wrt q.\nAnswer: -690","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7209902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 6*l - 3. Let v be g(7). Find the first derivative of -24*z**v + 1 + 1 + 47*z**4 + 3 wrt z.\nAnswer: 92*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t\/t**0)**(-50)*(t**(3\/8)\/t)\/(t*t**7)*(t**(-3\/7)\/t**(2\/9))**(1\/53) assuming t is positive.\nAnswer: t**(-4237519\/26712)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 100.90604523 + -100.907. Round q to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 19 + 2 + 1 + -2. Let p = m + -38. Let b = 26 + p. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23989333?\nAnswer: 73, 328621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12755 is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 11:01 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -2\/9, 2004.7, -3\/8, 2 in descending order.\nAnswer: 2004.7, 2, -2\/9, -3\/8, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14714, -14732, -14750?\nAnswer: -14768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c - 27677*c**2 + 27678*c**2 + 2*c.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 263, 1870, 4599, 8444, 13399?\n\"Answer: -x**3 + 567*x**2 - 87*x - 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -h**3\/2 - 4*h + 5. Let u(f) be the first derivative of n(f). Let l(c) = -2*c. Determine u(l(k)).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 308 - (-4)\/(12\/(-9)). Let m = -192 + n. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-33*45\/3960)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/7)\/(-4*65\/2132).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -317.962 rounded to the nearest 10?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 12*v - 16. Give p(-12).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 11:57 AM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/7)\/l**(1\/8))\/((l\/(l\/(l\/(l*l**4)))*l)\/(l**(-5)*l*l))*(((l\/(l\/(l*l*l**0)))\/l)**(9\/5))**5 assuming l is positive.\nAnswer: l**(513\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 21729415, 21729423, 21729431, 21729439?\n\"Answer: 8*w + 21729407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g + 3*g - 5175 = 0. Let u = g - 284. Calculate the highest common divisor of 61 and u.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.6 + -0.4. What is the nearest to 1\/2 in 0, c, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 0*a + 9 = -v, 2*v + 2*a + 12 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 - -21.095. Let w = 20.071931 + -20.16693181. Let v = w + h. Round v to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102157 is divided by 377.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -223*d + 219*d + 1520, -5*h + 1885 = 5*d. Is d a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1512 is divided by 750.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -160000*-37*(-2)\/(-4). Let b = -7 - -9. Suppose 0 = -2*x - b*x - k. Round x to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1211865 - -24.\nAnswer: -1211841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -33\/4, -1 in descending order.\nAnswer: 0.3, -1, -33\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mxpx when four letters picked without replacement from {p: 1, h: 6, x: 3, r: 2, u: 2, m: 1}?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -12. Suppose -s*j = -y - 4*y + 80, -y + 26 = 4*j. Suppose 2*m - y = -2*c, 0*m = -5*c + 3*m + 37. Calculate the least common multiple of c and 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243*u - 104 = 199*u + 148*u. Let f = 0.7 + -0.4. Which is the fourth smallest value? (a) -4 (b) 0.4 (c) f (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 394 = -3134. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 493649, 3, -0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6388395 and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.12, 7259, 0.875 in decreasing order.\nAnswer: 7259, 0.875, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*r)*(-2*r + r - 2*r) - 20 - 19 + r**2 - 3*r**2.\nAnswer: 4*r**2 - 39","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -4*y**4 + 2*y**2 - y - 1. Let o(t) = -928*t**4 - 13*t**2 + 6*t + 7385. Let x(f) = 6*j(f) + o(f). Differentiate x(d) wrt d.\nAnswer: -3808*d**3 - 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15653261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -118) + (-3139 - -2917)?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 270 or 269?\nAnswer: 270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1494 is divided by 388.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7930.3 from 3930.\nAnswer: 11860.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 34871036 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - 2)\/(-4) - (6 - 11).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.047 and 49?\nAnswer: -2.303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 minutes after 11:53 PM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is 29537186 to the power of 1\/2, to the nearest integer?\nAnswer: 5435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 5*p**2 - 6*p + 3. Suppose 9 = -o - 2*o. Let s(u) = u**2 - u. Let k(r) = o*s(r) + d(r). Let i be k(2). What is the highest common divisor of 1 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -886 + 877. Let y = 171 - c. Does 18 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1760\/(-240) + (-14)\/(2\/(-1)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3 - 9 = 0. Let m = 156 + -250. Let y = m - k. Round y to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37 + 11. Let v = 365 - q. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164161397.\nAnswer: 164161397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 8:25 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 124 = -49. Let s(z) = z**3 + 7*z**2 + 3*z + 3. Let k be s(-6). Suppose -c - 11 = -k. What is the highest common factor of c and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r - 855 + 875 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/3)\/(28\/1092). Let r(a) = -a - 13. Let i be r(c). Solve i = 5*u + 15 - 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 507, 618, 797, 1038, 1335, 1682?\n\"Answer: -w**3 + 40*w**2 - 2*w + 470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of r**6\/720 + 21*r**5\/40 - 7*r**4\/12 - 6*r. Let g(u) be the third derivative of x(u). What is the tens digit of g(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 234 + -92. Suppose 3*a + j - 523 = 3*r, -2*a = -5*r - 251. What is the highest common factor of 8 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from exp. What is prob of sequence pxe?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186340929?\nAnswer: 3, 1301, 47743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of c**8\/56 + 64*c**7\/21 - c**4\/4 + 101*c**3\/3 - c - 113. Find the third derivative of o(t) wrt t.\nAnswer: 120*t**3 + 7680*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -12162, -12182, -12202, -12222?\n\"Answer: -20*g - 12142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 4*f + 1 - 20, -5*v - 27 = -3*f. Let g be 1 - v - (-28)\/(-14). Sort g, -8, 3 in increasing order.\nAnswer: -8, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 11458*s + 38. Let l = -112 - -101. Let j be n(l). What is j rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 170365674, 170365677, 170365680, 170365683, 170365686, 170365689?\nAnswer: 170365692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4149589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0 = -3. Suppose -t = q*p + 4*t + 64, 4*t - 32 = 4*p. Let o = -11 - p. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*p = 3*f - 1, 0 = -4*p + 2*f + 2. Is 3 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 20388*d + 183506. Determine s(-9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31002 - 31015 = -3*q + r, -q - 5*r = -3*q + 78 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 1 = -7 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 6*y**2 + y - 3. Let s be n(6). Suppose -5*l - 2*w + 200 = 0, 4*l - w = -s*w + 158. Does 18 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -6*n - 88. Let s be r(-23). Suppose s*u + 24 = 56*u. Let b(o) = 2*o**2 - 5*o - 3. Give b(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + y**2 + y + 5. Let d be 2 + 0 - (-6)\/3. Suppose -c = d*c. Let l be t(c). Let r(s) = -s**3 + 5*s**2 + 2*s. Calculate r(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/9 - 1022\/(-18). Suppose -4*h + 5 = -2*v - d, -4*h = -v - 57. Solve 8*f - 20 = h*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**3 - 1942*z**2 + 3201*z**2 - 2337*z**2 to the form p*z + a + u*z**2 + m*z**3 and give u.\nAnswer: -1078","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8c (base 14) to base 7.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**2 + 9*x + 9. Let d be n(-5). Let y = 5 + d. Suppose -2*l - 1 = -21. Calculate the remainder when y is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34530?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 222009023 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -322771652 divided by -23055118\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -0.2 (c) -3246\/11 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 1. Let t = 3 - a. Suppose 72 = -519*m + 495*m. What is the closest to m in 0.4, t, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3059, -5 in increasing order.\nAnswer: -5, 0, 3059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 2\/405351317?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j - 8. Let p(b) = -5*b - b + 4*b + 3*b. Let k(a) = f(a) + p(a). Determine k(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 3*d - 2. Let n be x(-4). Suppose 3*b - 19 = n*j, -2*b + 0*j = -j - 11. Solve -4*s + 1 = -b for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1110 (base 2) to base 11\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12646 - -22935. What is the ten thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5033591 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5*n**3 + 44*n**2 + 25*n - 69. Let y(h) = -h**3 + 11*h**2 + 6*h - 17. Let d(i) = 2*o(i) - 9*y(i). What is the remainder when d(-11) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-11))\/((-1812)\/89694)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 1:04 AM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v\/v**0)\/v)*v*(v\/(v\/(v*(v*(((v\/(v*v\/v**(-9)))\/v)\/v)\/v)\/v)))\/v)\/(v*v**0*v)**(8\/5)*(v\/v**(1\/17)*v**(-3))**(2\/11) assuming v is positive.\nAnswer: v**(-13627\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3.55?\nAnswer: -3.55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*h + h**2 - 4*h)*(-2*h + h + 4*h) - 48 - 24 - 3*h**2 + 68 + 22*h**3 to the form f*h + q*h**2 + l*h**3 + x and give l.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = l - 3*n, 4*n = 4*l - 6 - 10. Suppose -4*y + 18 = -s, y - s + 5*s = -l. Suppose -i = -4*g - y - 12, -4*g - 16 = 2*i. Which is greater: -3 or g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -30 and 7.95?\nAnswer: 37.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*v + 3*v - v)*(0 - 2 + 1) + 0 - v + 0 + 8*v + 6*v + 17*v + (-3 + 2 - 2)*(5*v - 2*v - 5*v))*(-5 + 0 + 3) - 4*v + 4*v - 2*v.\nAnswer: -70*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = -i - 98. List the prime factors of 4\/i + 3370\/35 + 4.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44 - -48. Suppose 9 = x*y - 7. Let -n**4 + 8*n**y - 156*n**3 + 168*n**3 - 2*n + 3*n**2 = 0. Calculate n.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 34323 = -3*s, -5*s - l + 24795 = 82018. Is s\/(-12) + 1\/((-9)\/6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -z**3\/6 + 5*z**2\/2 + 5*z. Calculate l(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 523 = k + 2*k, 3 = 3*j. Calculate the highest common divisor of 66 and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1201 - -100?\nAnswer: 2001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000787 to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -370628719*c**3*o**3*s + 2*c**3*o**2*s - c**3*o**2 - 2*c**3*o - 7*c**2*o**2*s + 3*c**2 - c*o**2*s - o**3*s - 12820*s wrt o.\nAnswer: -2223772314*c**3*s - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2*l + 5*l - 10543, -l - 4*d = -3526. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -31*p**3 + p**2 + p. Let x be r(-1). Let h be (3 + -53)*14*x. What is h rounded to the nearest 1000?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 2:02 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -2 (c) 4415580 (d) -0.3 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -37.\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2 - 14*o**2 + 2*o - 2*o**3 - 5*o**2 + 23*o**2. Let c(r) = -r**4 + r**3 + r**2 + r - 1. Let p(u) = 2*c(u) + n(u). Find i such that p(i) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/7*(-4)\/6*-4*(-27)\/(-1008).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x\/(x**(2\/9)*x)*x)\/x)\/(x*x**(-1\/5))*(x**(-1\/3))**(-2\/19) assuming x is positive.\nAnswer: x**(11\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*m + 3*m + 0*m)*(6*m - 194*m**2 + 95*m**2 + 94*m**2) in the form k + z*m**2 + f*m + h*m**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c**3 - 7*c**2 + 2*c - 3. Let h be d(3). Solve 4 = 5*j - h for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 42\/(4410\/825)\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*r + 150 = 469 + 555 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -4*h - 4*w - 112, 3*w - 2386 = -2*h - 2470 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -16*k + 91. Let x(i) = 2*i - 16. Let v(d) = m(d) + 4*x(d). What is v(5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13113495558 divided by -6.\nAnswer: -2185582593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3 - 5*g**2\/4.\nAnswer: g**2*(4*g - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/5)\/(36\/18))\/((-4)\/100).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a1d (base 16) to base 15.\nAnswer: -b79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gpv when three letters picked without replacement from {c: 9, g: 3, p: 2, v: 4}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 790050619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 10*h**3 - 5*h**2 + 5*h - 5. Let s(g) = -g**2 + g - 1. Determine -l(c) + 5*s(c).\nAnswer: -10*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -377579 + 755191 + 3*i - 377612 - 8*i.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 1239.\nAnswer: -4\/1239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + -19. Suppose -63 - 7 = 5*i. Let c = i + 10. What is the smallest value in c, l, -0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 13 and -284.69592734.\nAnswer: -271.69592734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*w**4 - w**3 - w + 1 - 3*w**4 + 12*w**4 to u*w**3 + g*w**4 + t + h*w**2 + c*w and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/26 - -6) + -6. Which is the nearest to 1\/2? (a) -2 (b) p (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -4, -9\/4, -0.36 in increasing order.\nAnswer: -4, -9\/4, -0.36, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10657 (base 9) to base 11.\nAnswer: 5374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60562 + -60561.95400064. Let l = -1.564 + 1.61. Let i = l - c. Round i to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13\/3 - (-2 + (-40)\/(-12)). Put s, -6, -3, 1 in decreasing order.\nAnswer: s, 1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -22218 and -36.21.\nAnswer: 804513.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 622342669?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 167 + 9 = 2*h, 0 = -2*p + 3*h + 156. Let a be (0 + 57\/3)*-2. Let d = p + a. Is 18 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 61 = 5*f. Suppose 11*i - 6*i = -20. Let a = i - f. Calculate the highest common divisor of 52 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-5)*5\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1233121322110 + 2?\nAnswer: 1233121322112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4*j + 32 = 0, 0 = -0*k - 2*k + 2*j. Let a(w) = -k + 12*w + 4 - 8*w. Let u(q) = 9*q. Give u(a(y)).\nAnswer: 36*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*m**2 + 32 - 228*m**2 + 217*m**2.\nAnswer: 2*m**2 + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 5*f**2 + 314*f + 947. What is the least common multiple of z(-3) and 465?\nAnswer: 4650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11738601 divided by 67?\nAnswer: 175203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -2*y - 1, 5*y - 2*o - 6 = 8. Suppose -3*r + 5 = -y. Suppose r*b = 5*b - 14. Which is bigger: b or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -43*m**2 + 12*m + 6. Let l be f(-8). Let b = -28317\/10 - l. Calculate the common denominator of 2 + -1 + (-150)\/(-8) and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -5. Suppose q*g - g + 2 = 0. Let c = 154 - 151. Sort c, g, 0 in decreasing order.\nAnswer: c, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*c*u**2*x**3 + c*u**2*x + 2*c*u**2 - 15*c*u*x**3 - 5*u**2*x**3 - 73703*u**2*x**2 wrt x.\nAnswer: -120*c*u**2 - 90*c*u - 30*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121, -239, -341, -421, -473, -491, -469?\nAnswer: -401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 78391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 36?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (((-1)\/4)\/((-8)\/33472))\/2.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.8 and -17.\nAnswer: -13.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 148*a**2 + 143*a - 2. Determine k(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.014188 to three dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 6*a. Let g be 1\/(1\/(1*-3)). Let b(p) be the second derivative of -p**3\/3 - 27*p. Give g*d(r) - 8*b(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 8*n**2 + 18*n - 110. Let s(p) = p**3 + p**2 - 3*p. What is -q(a) - 6*s(a)?\nAnswer: -5*a**3 + 2*a**2 + 110","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3087 is divided by 769?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 2.9. Let m = 0.1 - j. Which is the nearest to m? (a) 1\/4 (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -3*j**5 + 756*j**4 + 37185*j**3 + 549882*j**2 + 2566320*j = 0.\nAnswer: -17, -10, 0, 296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 0\/2) + 1. Suppose 5*y + 490 = 590. Suppose -t - y = -2*s + 6, i = -s + 5*t + 22. Is 12 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 256*z - 1 + 119*z + 111*z - 53*z.\nAnswer: 433*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(304) + -4))**2.\nAnswer: -800*sqrt(19) + 8000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3217866 + 3217866 + 3053*w.\nAnswer: 3053*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**3 - 5*t**2 + t. Let k be g(-3). Find the common denominator of -5 - -5 - (0 + 137\/k) and 137\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.3 + 2.4. Which is the biggest value? (a) -1 (b) f (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.5 + -0.3. Let m = 0.2 - p. Which is greater: m or -1\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 79242?\nAnswer: 237726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 484180132 to the nearest integer?\nAnswer: 22004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 30 * 65\nAnswer: 1950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -1207*q - 7189. Let d be a(-6). Solve -d*c = -16*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 374 and -77513.\nAnswer: -28989862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18151102859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1524 > 1524?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*x + 7716 + 12*x**2 - 7719 + 2*x**2 + (-2*x - 4 + 4)*(2*x + 3*x - 4*x) + x**2 - 3*x**2 + 3*x**2 to the form u + c*x**2 + d*x and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*i + 15. Let o(s) = -s**3 + 4*s**2 + 4*s + 3. Is o(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (4 + -45 + 4 - (2 + -6))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 7*p + 9. Let d(q) = 3*q + 4. Let x(z) = 9*d(z) - 4*n(z). Let c(i) = i**2 - 1. Let g(b) = b**2 - 3. Let j(v) = 3*c(v) - g(v). What is j(x(h))?\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -441.096 - -445. Let j = l - 0.004. Let z = j + -4. Which is bigger: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2681.\nAnswer: 7, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -192 + 196. Let w = 0.83 + -0.03. Which is the third smallest value? (a) f (b) w (c) -2\/9 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*b - 102*b + 3 + 97*b - 3.\nAnswer: -87*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9163 = -61*d - 6723. Sort d, -26, 1 in ascending order.\nAnswer: -26, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12\/13843 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 9*s + 8. Let g = -21 + 29. Let c be p(g). Is c - (-1)\/(-1) - -120 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in 1\/4, -3\/8, -0.3, 3\/4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(91)*2)\/(-1*sqrt(567)).\nAnswer: -2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79 + 145 - 4*v - 66.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0060365 rounded to 4 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/7 + 35184002*n.\nAnswer: 2*n*(n + 123144007)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1185672065 to the power of 1\/2, to the nearest integer?\nAnswer: 34434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 48*k**2 - 77*k - 1392. What is a(-49)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y = -55 + 1 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 7:52 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = a + 5*i + 13, 4*i = -20 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/6)\/q)\/(q*q**(-41)*q) assuming q is positive.\nAnswer: q**(227\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b - 1. Let f(x) = -x**2 + 5*x + 1. Let s = -4 + 9. Let p be f(s). Let o(u) be the second derivative of u**3\/6 - 3*u. Calculate p*l(y) + 2*o(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 19 + (-5)\/9 + 17520\/(-540)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 32644, 65302, 97960, 130618, 163276, 195934?\n\"Answer: 32658*b - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-6))\/((-4)\/(-16)*-1)*-3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of l**6\/660 - l**5\/165 - 5*l**4\/132 + 2*l**3\/11 - 3*l**2 - 12. Factor m(y).\nAnswer: 2*(y - 3)*(y - 1)*(y + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*b = 22, 3*b = -0*b + 9. Let j = -3238 + 3240. Solve -10 = j*z - 0*z, 0 = -f + 3*z + s for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of u**4\/6 + u. Let f(w) = 19*w**2 - 37*w**2 + 16*w**2. Give f(l(q)).\nAnswer: -8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -7*c + 3*c. Let i = -2 - -10. Calculate the smallest common multiple of i and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(114)*-2 - sqrt(114)))\/(sqrt(96) - -2*sqrt(96)) + (sqrt(171)\/(sqrt(9)*1) + sqrt(19) + 2*sqrt(38)\/sqrt(2) + sqrt(19))**2 + -1)*2.\nAnswer: 2*sqrt(19) + 948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98, 185, 268, 347, 422, 493?\nAnswer: 560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -11*b - 12. Let q(w) = -5*w**2 - 16*w - 5*w**2 - w**3 + 5*w**2 + 2*w**3 + 8. Let k be q(7). What are the prime factors of t(k)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -5.5. Let k = -11 + 15. Let r = k + -4.1. Which is the closest to r? (a) i (b) -2\/15 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -17*v - 18. Let o be d(-2). Suppose 3*p = o + 5. Sort 5, p, 11 in increasing order.\nAnswer: 5, p, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*s + 2*r + 298 = 47*s, -2*s + 11 = r - 3 + 3 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/1)\/((-7)\/1*167\/(13694\/1886))?\nAnswer: -2\/161","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 92?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13242*d + 403345 = -200232 - 181885 + 83636 for d.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millimeter in micrometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**2 - 48. Let z be j(6). Suppose 0 = c + 4, 6*c + z = 2*q + 3*c. What is the smallest common multiple of 2 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 3\/5, -0.4, 11, 67, -17?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5023\/3152 (b) 0 (c) -2 (d) -3 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -50*u**2 + 1107 + 220*u**4 + 195*u**4 - 408*u**4 with respect to u.\nAnswer: 28*u**3 - 100*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z + 6. Let q be d(4). Let n(b) = 7*b**2 - 5*b**2 + 0*b**q. Let p(c) = -c**2. What is n(p(f))?\nAnswer: 2*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*x**2 - 113791 + 113791.\nAnswer: -50*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 3*b**2 - 3*b + 6. What is x(-5)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -31.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 279282.781690211 - -2918.288308889. Let p = s - 282201. Let u = -0.07 + p. What is u rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from znyho. Give prob of sequence ny.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f - 234774 = -730368. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2*l + 1)*(-l + l - 2*l**2) + (-l**2 - l**2 + 0*l**2)*(532100 + 532105 - 4224*l - 1064201) as j*l + y + o*l**3 + u*l**2 and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r - 9. Let j(c) = 6*c - 10. Let f be j(3). Let m be v(f). Put m, 4, 1 in descending order.\nAnswer: 4, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, -2\/13, 1\/3, 1\/2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9161120491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -8388391 and 57.7.\nAnswer: -8388333.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -1 + 3 + 2*z**2 + 13*z**3 - 7*z - 9*z**2 - 1. Let r(s) = 9*s**3 - 5*s**2 - 5*s + 1. Let l be (-2 - 0\/(-8)) + 7. What is l*v(w) - 7*r(w)?\nAnswer: 2*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1998 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o**3 + 4*o**2. Let f(l) = 4*l**3 - 8*l**2. Let y(a) = -4*a**3 + 7*a**2. Let g(q) = 2*f(q) + 3*y(q). What is -4*g(d) + 5*t(d)?\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -5*u - 350, 0*u + 2*j + 256 = -4*u. Let o = 106 + u. Suppose p - 5*p + o = 0. Solve 26 = 2*z + 4*h, -h + 0*h - p = -5*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25777749 to the nearest integer?\nAnswer: 5077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 1 = -3*p, 34*b - 7 = 4*p + 37*b for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*k + 8517587 = -27371564. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7101 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 2) to base 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2912738, 5825461, 8738184, 11650907, 14563630, 17476353?\n\"Answer: 2912723*h + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -t**7\/1365 - t**6\/130 - 2*t**5\/195 + t**4\/26 + 5*t**3\/39 + 225*t**2. Solve q(y) = 0 for y.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - v = -660 - 1406, -t + 1034 = v. What is the remainder when t is divided by 74?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -7*x**2 + 233*x + 72. Give o(34).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1869 by -3.\nAnswer: -623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0*z - 89 = -u, -4*z = -2*u - 368. What is the remainder when 287 is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3015, -5930, -8847, -11766, -14687, -17610?\n\"Answer: -q**2 - 2912*q - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.1 + 2. Let o = -55.6 - -56. Put 4, j, o in decreasing order.\nAnswer: 4, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/8*((-84)\/35 - -8).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 17 = -95. Let n = 112 + g. Let h(b) = -b + 4. Give h(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 475477049.\nAnswer: 1759, 270311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50130340 or -50130341?\nAnswer: -50130341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-12) - 4\/(-3). Let b(j) = -j + 1. Let n(x) be the first derivative of x - 1\/2*x**2 + 2. What is g*b(d) + n(d)?\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**3 - 4*l**2 + 7*l - 1. Determine y(-4).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 8*o - 5. Give f(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 4\/180512227?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.416 times 10732?\nAnswer: 4464.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3950, 16, 1 in increasing order.\nAnswer: -3950, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifty-five halves of a millimeter?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -4.6. Let k = 1424 + -867. Let u = 556.97 - k. Which is the second biggest value? (a) 2\/3 (b) u (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 42763.488.\nAnswer: 17105.3952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -12122089 at least as big as -12122091?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 10*j + 10. Give b(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of r**8\/20160 - 3*r**5\/20 + 48*r**2. Let v(x) be the third derivative of s(x). Let g(b) = -21*b**2 - 1. Give v(g(m)).\nAnswer: 441*m**4 + 42*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**4 + 21023*g**3 + 100862493*g**2 - 103324736155*g + 103223852638 = 0?\nAnswer: -10943, 1, 862","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 5*n**2 - 5*n - 4. Let x be k(-4). Suppose -3*t + l = -9, -5*l = -3*t - x - 3. Solve -y - 12 = -t*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -86423139*a*m**2 - 11557670*a - 3*m wrt m?\nAnswer: -172846278*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -7.5. Let r = -9.557 + o. What is r rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53704 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2851 = -53*p + 3024 - 6140 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 14*u**2 - 50*u - 329. Let z be i(-6). What is the highest common divisor of 100 and z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - (5 - 14) - 6?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 5. Suppose -2429910 = -u*j + 1070090. Round j to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -u**6\/2520 + u**5\/60 - 7*u**4\/24 + 4*u**3\/3 - 6. Let b(p) be the third derivative of f(p). Solve b(k) = 0 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*b = 452*b + 1240*b + 1136*b + 416850 for b.\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225 = 24*d + 21*d. Which is the second biggest value? (a) d (b) -7 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 5*a + a)*(-14*a - 4*a + 2*a) - 7*a**2 - a**2 + 7*a**2.\nAnswer: -81*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13.10885 - 120.11315. Let b = -27 + 134. Let k = q + b. Round k to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j + l - 15, 4*j - 4*l - 26 = -6 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m**2 - 16*m + 4. Let l be q(5). Let n be -1 - (0 - (l - -2)). Suppose -u + 14 = -n*u. Is 7 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -30*u**3 - 5*u**2 - 9*u + 89. Let l(n) = -7*n**3 - n**2 - 2*n + 22. What is 9*l(y) - 2*v(y)?\nAnswer: -3*y**3 + y**2 + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 963667.5 decades to months.\nAnswer: 115640100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 756998 - 756997.4828277. Let o = 0.517 - m. What is o rounded to six dps?\nAnswer: -0.000172","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - 7. Let g(t) = 2*t**2 + 2*t + 24. Let y be g(i). Suppose -5*r - 159 = -2*f, -4*r + 0*r + y = 3*f. What is the highest common factor of 18 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 69, 0, 9, -2 in descending order.\nAnswer: 69, 9, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -5*v**7\/7 - 3*v**3 - 2. Find the third derivative of w(a) wrt a.\nAnswer: -600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**4 - 1 - 6*s**4 + s**4 + s**4 - 2*s**3 in the form j*s**4 + t*s**2 + m*s + l*s**3 + f and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 4*g - 6. Let u be 1 + 18\/(-3) + 2. Calculate the remainder when 56 is divided by f(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 29*c + 339. What is n(-26)?\nAnswer: -415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)\/(sqrt(6) + sqrt(6)*1))\/(sqrt(10)\/sqrt(2)*-6).\nAnswer: -sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25440, 23295, 19722, 14721?\nAnswer: 8292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/28 - 14\/120. Let i = 3\/11 - 49\/99. What is the third biggest value in 5, j, i, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25898984 by -1832.\nAnswer: -14137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -8 - (-1 - 26\/(-2))*(-44)\/(-176). Let m(a) = -a**2 - 4*a + 28. What is m(y)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 756.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1268479043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4923*h*x - x + 413 wrt h.\nAnswer: -4923*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 69403 divided by -366?\nAnswer: -69403\/366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 18389, 36698, 54927, 73076, 91145, 109134, 127043?\n\"Answer: -40*o**2 + 18429*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29374 (base 12) to base 11.\nAnswer: 3a263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**1*(k*k**(-2\/11))\/k*(k\/(k\/((k\/(k\/(k**(-7)\/k)))\/k)))**(-18\/11) assuming k is positive.\nAnswer: k**(171\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*o + 42 + 39 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, -2\/143, -4?\nAnswer: -2\/143","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -0 + 12. Let o(f) = -k*f + 20*f + 4 - 23*f**2 + 22*f**2. Is o(9) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11818068553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/150 and -64\/7375.\nAnswer: 44250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5346 + 5435. What is the remainder when 312 is divided by t?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of g**3\/3 - 2*g**2 - 8*g. Let t be b(4). Let m be ((-6)\/t)\/((-12)\/8). Are 3\/2 and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111001111110001 (base 2) to base 4.\nAnswer: 33033301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/36627 and 74\/261?\nAnswer: 109881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8270 = -37*i - 1314. Suppose 2*w - 182 + i = 0. Suppose 0*h + 10 = 5*u + 5*h, -1 = 4*u - 5*h. Sort w, u, 0.2, 2.\nAnswer: w, 0.2, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8080266 is divided by 986.\nAnswer: 982","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 3*l + 25 = 0, 4*s - 39*l + 34*l + 33 = 0 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -464.34*-0.16.\nAnswer: 74.2944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 1808?\nAnswer: -1807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**2 - 120*f - 643. Let p be x(-6). Solve o - 3*t + 4 = 17, 0 = -p*o + 2*t for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1593078 to the nearest integer?\nAnswer: 1262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2368744901?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1459370?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 444658890 divided by 3.\nAnswer: 148219630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 549714580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-7) + 15841\/3577.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 532 divide 8210356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 0*a = -2*y + 12, -92*a = 11*y - 94*a - 166 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 8*t**2 - 5*t - 7. Determine g(-8).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*a*n**3*o - 5*a*n**3 - 1556282*n**3*o + 1772*n**3 + 208*n**2 wrt o.\nAnswer: -4*a*n**3 - 1556282*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 57, 383, 709?\n\"Answer: 326*z - 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or -352\/23?\nAnswer: -352\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107702.\nAnswer: 2, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 8. Suppose b*v - 17 = -7. Suppose -2 + 0 = -v*y. Is 0 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 6 + 3)*((3*h + 0*h - h)*(-6 - 1 + 3) - 23 - 19*h + 23) as w + y*h and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - r = -3*c + 280, -3*r = 2*c - 186. Let g = c - 60. What is the greatest common factor of g and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -759 - -1461. What is the greatest common factor of w and 810?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 - 35*x - 294.\nAnswer: (x - 42)*(x + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 9*i**2 - 26*i + 3. Let u be b(3). Suppose -2*c + 5 = -1. Suppose c = 3*q - u. Solve -q*v + 20 = v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**2\/(j*j*j*j**(1\/2)))\/((j\/j**(-1))\/(j\/(j*j**(-4\/3)))))\/((j**(-1))**(-38)*(j\/j**(4\/3))\/j*(j\/((j\/((j*j**(2\/9))\/j))\/j*j))\/j) assuming j is positive.\nAnswer: j**(-685\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 543 = 145. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 545227797 minus 0.05?\nAnswer: 545227796.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -3*c + 110, -100 = -5*c + 2*c - 2*p. Suppose -c = -2*w - s, w - 11 = -4*s + 11. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) + -1 + sqrt(1216) + (sqrt(19) - (-1 + (sqrt(19) + 0 - sqrt(19)) + sqrt(19))) + sqrt(19) - sqrt(190)\/(sqrt(90)*-3))**2.\nAnswer: 450604\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*1 - ((-51)\/12 + 7)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 5535310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 532412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 135*h - 252*h + 126*h. Let c = 16 - -8. Suppose -c = -4*y + 4*w, w = -4*y - y + 36. What is the remainder when y is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*q**3 - 2*q**2 - 8216*q + 204922 wrt q?\nAnswer: 6*q**2 - 4*q - 8216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60412 divided by 62.\nAnswer: 30206\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 5*f - 10, 24 = -0*n + 2*n - 5*f. Suppose 0 = -0*c - n*c + 2. Let v be c\/2 + (-3 - -2). Is -1 greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 160 - 2082\/13. Which is smaller: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 3*j + 6. Suppose -5*w + j*w + 696 = 0. Suppose -5*i + 2*i = -w. What is the greatest common factor of 29 and i?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + sqrt(11))**2*2.\nAnswer: -30 - 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kxxxkxyyxxx. What is prob of picking 1 y and 1 k?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o + 7. Let a = 427 - 406. Let j(t) = -2. Give a*j(i) + 6*c(i).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(3 - 2 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/9, 8, -9, -2\/3, 0.3, -4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -77.73 - -62.73. Which is the nearest to -1? (a) -3\/11 (b) 0.2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/20)\/((-9)\/(-5)). Let o = -4.1 + 4. Which is the third smallest value? (a) o (b) 2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7574, -15147, -22720?\n\"Answer: -7573*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5*r - 194 = 3*r, r = -2*s + 193. Let f = -482\/5 + s. Which is smaller: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 31\/2 of a gram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65\/((-143)\/(-11)) - -570 is divided by 100.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1311354 (base 6) in base 12?\nAnswer: 3555a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2 (b) 1 (c) 0.11 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-43)\/430)\/((-16)\/(-4))*10\/(-4).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9089881*y**3 + 2215136*y**2 + 2 wrt y?\nAnswer: -54539286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w*w\/(w\/w**(2\/9))*w)\/w*w**(3\/7)\/w)**21 assuming w is positive.\nAnswer: w**(104\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238363000?\nAnswer: 2, 5, 238363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.9 - -8.4. Let d = 0.28 + -1.38. Let f = d + 1. What is the biggest value in -0.2, f, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55401 (base 6) to base 12\nAnswer: 4561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**4 + 0*u**4 + 2*u**4 + (2*u**4 + u**4 + 0*u**4)*(-4 + 4 + 1).\nAnswer: 4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -16, 20552 in descending order.\nAnswer: 20552, 4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6561338.\nAnswer: 2, 7, 468667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -5, 3, -2879, -2, 18 in descending order.\nAnswer: 18, 3, 2, -2, -4, -5, -2879","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -13, -10, -7, -4, -1, 2?\n\"Answer: 3*g - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/6)\/(0 - 4\/36)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 1:10 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 14) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 l, and 2 n when four letters picked without replacement from {l: 3, n: 3, w: 9, d: 2, a: 1, k: 2}.\nAnswer: 3\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2 (b) -3 (c) 1\/4 (d) 64 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 636684 and 93630.\nAnswer: 3183420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 32753\nAnswer: 2\/32753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 215 + -96. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -89669 equal to 920?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 48\/(-8)*(3\/2 - 2). Suppose -s*a + 2*a = 4*u - 72, -2*a - u + 137 = 0. Is 34 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tcdttlbctitiiit. Give prob of picking 1 l and 2 t.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 42*h*q + 1354*h - 5*q**4 with respect to q.\nAnswer: 42*h - 20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p + 8. Suppose 2*i - q - q = -24, -28 = 5*i + 3*q. Let t = 1 + i. List the prime factors of m(t).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1295409\/194 or 6678?\nAnswer: 1295409\/194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2422288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53300\/(-7462) + (1\/(3\/18) - 1).\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 930 and 14136?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, 0, 2\/7, -0.21?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - (-9 + 4)) + (21 - 18).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -415*o + 24465 = 36*o + 22*o - 9118 for o.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 + 28. Let x be s + 3 + -1 + 0. What is the highest common divisor of 8 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3253626788 divided by -4?\nAnswer: -813406697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -542109*f**4 - 1159049 wrt f.\nAnswer: -2168436*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 275*v**2 + 231*v**2 + 0 to r*v + t*v**2 + p and give t.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 54\/10 - (-9)\/15. Suppose 0 = -5*u + a*u - 17. Let r = u - 12. Let m(w) = w**2 - 3*w - 1. Determine m(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34618)\/(-2733)*(-3)\/4.\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7854, -15720, -23586?\n\"Answer: -7866*r + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -13*i**2 + 203*i + 1102. Determine z(-6).\nAnswer: -584","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 1\/5 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that q**2 + 1317882*q + 434203241481 = 0.\nAnswer: -658941","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4)\/(v\/v**(2\/11)))**(-46)*((v\/v**5)\/((v**2\/v)\/v*v))**2 assuming v is positive.\nAnswer: v**(2328\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/(-10))\/((-34)\/3315*-13). Let n(r) = -7*r**3 - 5*r**2 - 2*r + 4. Let b(k) = -8*k**3 - 6*k**2 - k + 5. What is q*n(f) + 5*b(f)?\nAnswer: 2*f**3 + 7*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2 + 0 + 9 + x**2 - 2*x + 9*x. Let s be m(-8). Differentiate -8*n + s - 5*n + 0*n - 4*n with respect to n.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**2 - 59*g - 19. Let x be (-31 - -34)*(-232)\/24. Calculate a(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1949*w*x**3 + 82*w*x**2 + w - 3*x - 1989991 wrt x?\nAnswer: -5847*w*x**2 + 164*w*x - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 99, 1006, 36\/25, -3 in ascending order.\nAnswer: -3, 36\/25, 99, 1006","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10652.706 months to millennia.\nAnswer: 0.8877255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 3\/7, 56\/5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -81884 and -262481437.\nAnswer: -262563321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 137\/710 - -1\/142. Let k = -22\/3 + 7. Let n = -258.3 - -258. What is the closest to k in n, 0.1, q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 964?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 11*y + 41*y - 30*y + 677*y**2.\nAnswer: 677*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, h: 8, t: 4, l: 1}. Give prob of picking 1 t and 1 h.\nAnswer: 32\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = l + l. Let s(x) be the first derivative of x**3 + x**2 + x + 2. Let q be s(l). Solve -2*d = -2*p + q, 10 = -p - 5*d - 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -935*q**3 + 66*q. Let h(z) = 72*z**3 - 5*z. Determine -66*h(c) - 5*k(c).\nAnswer: -77*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/770 and -139\/78100.\nAnswer: 546700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 156380 by 39095.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-26) - 1062\/(-26). Let z = p - 165\/4. What is the third biggest value in 4, z, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*-1*(-4 + -1). Put d, 2, 1 in ascending order.\nAnswer: 1, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 27*u - 22*u. Let a be (u\/15)\/(4\/40). Calculate the highest common factor of 6 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*k + 6*k - 4*h, 0 = -5*k - 2*h + 1. Sort k, -3, -7.\nAnswer: -7, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - ((15 - 26) + (5 - (-6 + 4))).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 575 by -23.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 p when two letters picked without replacement from ppppppapppvpppppapap.\nAnswer: 24\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -498.2 rounded to the nearest 10?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j = d - 11, -4*j = -5*d + 77 - 84 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 330303 = 4*s, -2*s - 375787 - 64607 = -4*z. What is the derivative of -z*w - 2*w**2 + 3*w**2 + 113 + 110089*w wrt w?\nAnswer: 2*w - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 7452.294 weeks?\nAnswer: 52166.058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41507485 by -2.\nAnswer: 41507485\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -6*m + 96. Suppose -14 = -2*x - m. Suppose -2*u + 20 = -3*b, -u - 4*b = x*u - 64. Calculate the highest common divisor of u and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9977 is divided by 9970.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11.042 - 11. Let z = 0.158 + j. What is the closest to 1 in 2, z, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of 9*t**2 + 0*t + 1\/24*t**4 + 0*t**3 + 0. Let k(y) = -19*y**2. What is a(k(r))?\nAnswer: -19*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 109479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.4*-15.\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 8*k**5 + 4 + 31*k + 23*k - 1 - 62*k. What is the derivative of g(l) wrt l?\nAnswer: 160*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 118, 3, 1, -1, -75 in descending order.\nAnswer: 118, 3, 1, -1, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 507188, 1014137, 1521086, 2028035?\nAnswer: 2534984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h + 11. Let t be k(-6). Let o(m) = -m**2 - 8*m - 8. Let d be o(t). Let c = 3 + d. Solve -c*w = -4*w + 2*a, 4*a - 3 = 5*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/22))**31\/((a**(-3)\/a*a)\/a**(-37)) assuming a is positive.\nAnswer: a**(-841\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 102?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -878754 by -334.\nAnswer: 2631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12714*x**3 - 1830819*x**2\/2 - 4894782*x + 1155\/2 = 0.\nAnswer: -5, 1\/8476, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.023 times -0.006?\nAnswer: -0.000138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 1169 - 240*p**2 + 0*p - 1168 - p in the form x*p + s + o*p**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(2 + 3\/(-6)) - 29\/87. Let v(x) be the first derivative of -x**4\/2 + x**3 - x**2\/2 - 2*x + 1. Let f be v(2). Are f and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 432701695 to the nearest integer?\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**2 + i**2 - 9*i**3 + 11*i**3 - 6*i + 0*i**2 - 3 in the form w*i**3 + d + x*i**2 + o*i and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 1:00 AM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqfqqfqtqfqqftq. What is prob of picking 2 q?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -128*w + 65*w - 757 + 66*w - 226 to v*w + h and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18805 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**5 - 2*q**5 + 2*q**5 + (0 + 0 - 2)*(2*q**5 - q**5 - 3*q**5) + 0*q**5 + 2*q**5 - 4*q**5 + (2*q**3 - 2*q**3 - q**4)*(6 + 5*q - 6).\nAnswer: -4*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 207 + 8952 = -3*b, -3*b - 12 = 0. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(3\/5)*y)\/y*y*y**0)**46 assuming y is positive.\nAnswer: y**(598\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*s - 3*s**3 + 26*s)*(-18*s**2 - 14*s**2 + 5*s**2 + (-s**2 + 4*s**2 - 2*s**2)*(-1 + 9 - 1)).\nAnswer: 60*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 231 divide 51051?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 8 - (4 - 7) - 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 353268*q**3*y**3 - q**3*z + 986368*q**2*y**3*z - y**2 wrt z?\nAnswer: -q**3 + 986368*q**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-14)*32\/(-3)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 180806 rounded to the nearest ten thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rg when two letters picked without replacement from {r: 2, g: 1, l: 2, v: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/2 - 15*v - 81\/2.\nAnswer: -(v + 3)*(v + 27)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 25 = 2*v, -2*q + 20 = -2*v - 6*q. Suppose -3 = -u - v. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*f - 10 = 266. Let w(u) = -4*u**3 + 3*u**2 - 3. Let t(l) = -4*l**3 + 2*l**2 - 2. Calculate f*t(d) - 4*w(d).\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (296 + 112 + 314)*(-6*c**2 + 2*c**4 + 6*c**2)*((-1 + 2 + 3)*(5*c - c - 3*c) - 4*c + 0*c + 2*c).\nAnswer: 2888*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.315, -4, 5, 2, -0.4, 3.5?\nAnswer: -0.315","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/25 of a minute?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-3)*n*n**(-18)\/n assuming n is positive.\nAnswer: n**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 472603833 a multiple of 1161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45501368?\nAnswer: 2, 11, 517061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*a = -36 - 14. Solve y - a*t - 2 = 0, 3*y + 3*t = -2 + 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01598 rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1230233.\nAnswer: 1230233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(475)*4 + sqrt(19) + (sqrt(19) + sqrt(19)*-1)**2*3.\nAnswer: 21*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 12 = -g + 4*b, 2 = 3*g + b. Suppose 56 + 24 = g*w. Suppose 5*s + 0*s = w. Is 2 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 5*r**4 + 5530*r**3 + 967545*r**2 - 334682280*r + 333709200 = 0.\nAnswer: -636, 1, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/4 - -4)\/((-6)\/52). Which is smaller: -9 or k?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 29*n**2 + 33*n + 339. Give h(-28).\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 5*h - 158. Let r be y(33). Let s(l) be the first derivative of 0*l - 1\/16*l**4 - r + 0*l**2 + 1\/24*l**6 + 1\/6*l**3 - 1\/10*l**5. Factor s(p).\nAnswer: p**2*(p - 2)*(p - 1)*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -d**3 - 214. Let n(v) = v**2 + 3*v**2 + 3*v + 4*v**2 - 9*v**2. Calculate k(n(z)).\nAnswer: -3*z**4 + 18*z**3 - 27*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-14\/3)\/(((((o\/((o**(-47)*o)\/o*o))\/o)\/o)\/o)\/o))\/((o*o**(-2\/69)\/o*o)\/o)**(-5) assuming o is positive.\nAnswer: o**(-3299\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.47543 days to milliseconds.\nAnswer: 1941877152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1559332\/19 or -82071?\nAnswer: -82071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 71744 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*j = -40*j. Suppose -2*q + 488 = -3*x, 3*x + 12 + 0 = j. Calculate the greatest common factor of q and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**3 + a - a)*(20*a**2 - 26*a + 43403 - 43403).\nAnswer: 20*a**5 - 26*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 728 a factor of 13765024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1306580?\nAnswer: 2, 5, 11, 5939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -1145*y + 34. Let s(l) = -4200*l + 125. Determine 40*b(c) - 11*s(c).\nAnswer: 400*c - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of t**4\/12 - 8*t. Let m(a) be the first derivative of 4*a**3\/3 - 1. Calculate m(o(y)).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 minus 846470514630?\nAnswer: -846470514643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-112)\/(-40))\/(6\/(-15)) + 4. Let s(p) = -5*p - 4. Let h(u) = -6*u - 4. What is y*s(c) + 2*h(c)?\nAnswer: 3*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -284 less than -24003?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 820 a factor of 20672824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 0.5, 0, -0.1, -0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 6*h + 2. Let v be z(-6). Let x be 23 + v*1\/(-1). Suppose 0 = 3*q + 12, 2*a - 3*q = -a + x. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1593 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-16 - 1)*(4 - 5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080602 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -23\/2 (c) 0 (d) 22 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-129880)\/1337)\/(10\/(-84)). What is the highest common divisor of 2499 and w?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-20) - (-57)\/(-105). What is the closest to -5 in -1, l, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 7*r + 12 = 0. Suppose 0 = r*p - 2*p - 52. Suppose 0*s - 6*s = -48. What is the remainder when p is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(3\/11)*q)\/(q\/(q*q**(-5))) assuming q is positive.\nAnswer: q**(-30\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8407624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1107 by 369.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -56 (b) 12803 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 + 12 - (-9647 - 58).\nAnswer: 3, 41, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 12:32 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - h + 149 = 53, 44 = 3*n + 4*h. Let f = 25 - n. Suppose -b = -3*b + f*g + 19, 0 = -2*g + 6. What are the prime factors of b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 335 a factor of 2733752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38267?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 393 + -147. Let u = r + -245.8958. Let n = u - 0.101. What is n rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4843 and 430025.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157 = 7*h - 550. What is the third derivative of -20*u**3 - 101*u + h*u - 19*u**2 wrt u?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 152*h**5 - 6*h**4 + 13*h**3 - h**2 - h - 127722 wrt h.\nAnswer: 9120*h**2 - 144*h + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 1270*p + 16. Let l(o) = 12*o**2 + 13970*o + 184. What is 23*k(m) - 2*l(m)?\nAnswer: -m**2 + 1270*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**2 + 1465191*m + 2930394 = 0.\nAnswer: -2, 488399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 + -29. Calculate the common denominator of -1\/3 and (-1565)\/180 - z\/(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*z + 63 + 21 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -94*u**3 + 1. Let x be 2\/3 - (-20)\/(-12). Let w be n(x). Is (-1 + 0)\/((-1)\/w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/12 and -67\/170?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 12125, 96902, 327009, 775112, 1513877?\n\"Answer: 12111*t**3 - t**2 + 3*t + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -4*k + 4444, 2*k - 64*p = -65*p + 2210. What is the remainder when k is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (1 - 16 - -9) - -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 324*l - 9. Let k(q) = 322*q - 11. What is 6*b(h) - 5*k(h)?\nAnswer: 334*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6387 = 57*o - 53805. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2116*f**2 - 5 - 1040*f**2 + 5 + 2*f to k + p*f**2 + m*f and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8352.9 * 35.\nAnswer: 292351.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 757*o**2 - 183*o + 2169. Is y(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(396)*-6 + sqrt(11))**2*4.\nAnswer: 50864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g**(-10)\/g)*g**1 assuming g is positive.\nAnswer: g**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -l**5\/20 + 2*l**4\/3 - 4*l**3\/3 + l**2\/2 - 4*l. List the prime factors of q(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119, 143, 167, 191?\nAnswer: 215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 651 - 521. What are the prime factors of c?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 24 = 4*c. Let z(q) = -3*q**2 - q + 8. Let l be z(c). Let t = l - -136. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b - 14*b + 19*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express g**4 + 5 - 5 + (62*g + 2*g + 15*g)*(-5*g**3 + g**3 - 3*g**3) - 2*g**4 + 6*g**4 + 3*g**4 as w*g + x*g**2 + r + c*g**4 + y*g**3 and give c.\nAnswer: -545","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 - (42 + -37 + 39).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -88508, 4, 1, 6, -5, -1, -2.\nAnswer: -88508, -5, -2, -1, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 5:28 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/((2 + 0)*(-2)\/10). Suppose i + 4*a - 5 = 16, -2*i + 5*a = l. Solve 8 - 23 = i*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8*(13365\/(-20) + -5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.4 or -4\/219?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -382.2568 rounded to the nearest ten?\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6804 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.7648526 take away -73.03?\nAnswer: 57.2651474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5630576 is divided by 52?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3513 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 4*p + 25. Let n be o(-6). Let q(i) be the first derivative of 0*i**3 + 0*i**2 - i - 1\/2*i**4 - n. What is the derivative of q(w) wrt w?\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*a)*(1 - 3 + 0 + (-4 + 3 - 1)*(-1 + 0 + 3) - 1 - 2 + 1 + (5 - 1 - 3)*(6 - 6 + 15)).\nAnswer: -14*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 19*c**3 + 9*c**2 - 82*c - 5. Let m(b) = 11*b**3 + 5*b**2 - 41*b - 3. What is -5*m(o) + 3*z(o)?\nAnswer: 2*o**3 + 2*o**2 - 41*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.4, 5, -5\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j**5 + 2*j**5 + 3*j**5 + (2 + j - 2)*(6*j**4 + 13*j**3 - 13*j**3) + (3*j**2 + j**2 - 2*j**2)*(20*j**3 - 88 + 88).\nAnswer: 47*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 106371 less than -3?\nAnswer: -106374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27221\/3780 - -1\/756. Let c = -32\/5 - r. Is 0 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 12 = 0, -3*f - 231 = -10*n + 8*n. Let y(q) = q**3 + 9*q**2 - 2*q - 3. Let s be y(-4). Let d = s - n. Which is smaller: -24 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40467 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/23*(-270)\/(-1485)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.9 + 3. Let d = -4.1 + c. What is the nearest to 0 in -2\/9, -1\/2, d?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -355, -1, -6, 4.\nAnswer: -355, -6, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*c - c**3 - 4 + c**4 + 11*c**2 - 13*c**2 to the form r + n*c**2 + a*c**3 + x*c + o*c**4 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 53 = 7. Suppose 5*i = 2*f - 0 - 10, -3*f = -l. Is -2\/21 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 9:35 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62882 and 596758?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zfer when four letters picked without replacement from rezezbeeefzrerfr.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51.5 - -52.5. Which is the second biggest value? (a) v (b) 0.6 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 - -29. Suppose -3*p + p = -4. What is the biggest value in -4, p, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50799*v**2 + 15684*v**2 + 11031*v**2 + 14403*v**2 - 7084*v wrt v?\nAnswer: -19362","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4482688 a multiple of 808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.2 (b) 171\/14 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16796 divided by 442?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 26.147182 and -1288.\nAnswer: -1261.852818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -161 (base 11) to base 15\nAnswer: -c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1 + -4 + sqrt(35)\/(sqrt(7)*-4))**2.\nAnswer: 5*sqrt(5)\/2 + 453\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*c + 72. Suppose -4*k + 3 + c = 0. Is k a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - -121520)*-1*-1. Let h = 198499 - t. Let w = h - 15978. Round w to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 6*j**2 - 19*j - 26. Calculate r(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 375 and 1095125?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**3 + 54*f**2 + 302*f - 29. Determine m(-19).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -14*t + 10. Let c be h(2). Let b(f) = -5*f - 90. Let y be b(c). Solve 2*s + u - 6 = 0, -2*s + 3*u + u - 14 = y for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 841, 3673, 8499, 15319, 24133, 34941?\n\"Answer: 997*n**2 - 159*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by -476.\nAnswer: 4\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 162288187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) 4\/7 (b) 2\/11 (c) -10 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -c (base 14) in base 4?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15301126*b*g - 2*b + 1569554 wrt g?\nAnswer: 15301126*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 5:21 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*c = -35*c - 348. What is the remainder when c is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 11*q - 5. Let r be (2\/(-2))\/(1\/(-1)). Let l(n) = n. Let b(m) = r*s(m) - 5*l(m). What is the units digit of b(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 10) to base 15\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3922\/11, -74, -1.1 in ascending order.\nAnswer: -3922\/11, -74, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13116 + 24935. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1105\/2 in -0.148, -3, 2.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - 2*(-2 - -4). Let w be -6 + s\/(-4)*0. Let i be (28\/(-18) + w\/(-27))\/(-1). Which is the closest to 3\/14? (a) i (b) -2 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2341 - -2344. Solve 0 = -4*z + 3*s - 15, 14 = -5*z + 2*s - m*s for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/10)\/((-208)\/130).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 8*s**2 + 5. Let m be k(8). Let a be ((-4)\/6)\/(m\/(30\/4)). Sort a, 2, 0, 3 in descending order.\nAnswer: 3, 2, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + k + 53. Give q(0).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 + 8*x**2 + 0*x**2 + 3*x**2.\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 0.5 (c) -8 (d) -1\/2 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.2? (a) 412\/5 (b) 3 (c) -0.3 (d) -1\/9 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 8*p**2 + 244*p - 118. Let n be y(-31). Let o(k) = 35*k + 25. Let h(v) = -3*v - 2. Determine n*o(s) + 75*h(s).\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -165 (base 10) to base 4.\nAnswer: -2211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5*c + 24. Let j = 90 - 92. Let x be o(j). What is the tens digit of 20\/(-12)*-3*x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 191 - 221. Let x be (33\/n - -1)\/((-8)\/32). Which is the nearest to -2\/11? (a) 5\/3 (b) 2\/35 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x*x**(10\/11)*x))\/x**(-13) assuming x is positive.\nAnswer: x**(111\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(224)*-3*4)\/((-5*sqrt(4900))\/sqrt(7)).\nAnswer: 24*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27009 + 2*y**2 + 25*y + 27007 - y**2)*(2 - 3 + 0)*(-2*y + y + 0*y).\nAnswer: y**3 + 25*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1839, 7565, 17119, 30513, 47759, 68869, 93855, 122729?\n\"Answer: 2*n**3 + 1902*n**2 + 6*n - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2a0 + -6a3?\nAnswer: -403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-4))\/(2*24\/8)*5\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-650)\/1755*(-27)\/12*92\/(-10)?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14485 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -u**4\/24 - u**3\/2 - 6*u**2. Let a(w) = w + 4. Let c = -12 - -7. Let g = c + 9. Calculate g*y(k) + 3*a(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2249 divided by -1?\nAnswer: 2249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 15*q + 46. Let z be h(8). Let o = 262 + z. List the prime factors of o.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*v = 81*v + 8. Let i(n) = -189*n**3 - 5*n**2 - 7*n - 1. What are the prime factors of i(v)?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 6088 = p + 6883, 3*p = -3. What are the prime factors of j?\nAnswer: 2, 5, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 63*d**3 - d + 1. Calculate the remainder when w(1) is divided by 22 + (-5)\/(-1 + 2) + 5.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 1 = -z, -11*z - 30 = -16*z. Which is the nearest to q? (a) -6 (b) -5 (c) 1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4 + (2*sqrt(252))\/sqrt(9).\nAnswer: 3 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 55 = -5*n + 3*n, -n - 5 = 4*w. Let s be -3 + n + (-9)\/3. Let d = s - 7. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002453 to 6 dps.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(10) + sqrt(40)\/sqrt(4))*-2)\/(sqrt(245)*-3) + -3.\nAnswer: -3 - 4*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21.489 + -203.489. What is the biggest value in 0, 4, a, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.25 - -0.1. Let i = s - -0.35. Let h = 3 - 3.2. What is the nearest to h in i, 4, 2\/9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 4*h**2 - 9*h + 2. Let n be l(6). Let u be (-1)\/(-4) - (-35)\/n. Is u - 6*(-2)\/1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -290, -578, -866?\nAnswer: -1154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/2*-30*22\/528?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of -k**4\/24 + 2*k**3\/3 - 1482*k**2 - 2. Let s(j) = 27*j. Give s(a(b)).\nAnswer: -27*b + 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j + 283 = 292 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 599695, 2, 6, 1 in decreasing order.\nAnswer: 599695, 6, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-13)\/w*w\/w**9*w*w assuming w is positive.\nAnswer: w**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 37*w - 1083. What is s(-58)?\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 150\/(-36) - -4 - (-178)\/(-12)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iuki. Give prob of picking 2 i.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 3 - 1\/1. Suppose -t*j = -6*j. Suppose -6 + j = -3*u. What is the greatest common factor of u and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -168\/5 + 1858\/55. Let j = -3.95 - 0.05. Let u = 1 + j. Which is the third smallest value? (a) h (b) u (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 376879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 245 + -242. Suppose -x*q - 5*m = -4 - 15, -4 = -4*q + 4*m. Solve 4 - 2 = -q*n + d, 0 = 4*n - 2*d + 6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 63871 - 31142. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + 20 + -3 - (1 - 0 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 939*z**3 + 2*z**2 - 1487665*z**4 + 0*z**2 + 860*z**3 + 1487663*z**4 in the form t*z + y*z**3 + s*z**4 + o + k*z**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssss. What is prob of picking 4 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(6*(sqrt(70)\/((sqrt(90) - sqrt(10))*-5) + 0 + 1*((sqrt(1008) + 0 - sqrt(1008)) + sqrt(1008))*1))**2.\nAnswer: -892143\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 274\nAnswer: -278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.019 and -48?\nAnswer: -0.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + i**2 + i - 4. Suppose -6*d = -9*d. Calculate b(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from wwxwwwbwxcbpwdxbxb.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**3 - 8*u**2 - 4*u - 3. Let m be h(-3). Put 3, m, 5, 1 in increasing order.\nAnswer: m, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 241836614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c - 1. Let s = 19 - 14. Calculate q(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -825960 - -1202423. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6890 to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -117, -0.4, 2836\/23?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16507 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 19*b**2 + 12*b - 48. Let h be j(-20). What is the greatest common factor of h and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5b + 2?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 23676 times 3.4638\nAnswer: 82008.9288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -357758, -1431339, -3220642, -5725667, -8946414, -12882883, -17535074?\n\"Answer: -357861*w**2 + 2*w + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -3. Suppose 37 = 5*l - 4*a, -8*l = -d*l - 2*a - 31. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -53*l**2 - 5*l + 12. Let n(x) = -159*x**2 - 14*x + 35. Let g(u) = 11*m(u) - 4*n(u). Let j be g(-3). Let y = j - 279. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.12 * -29425.8.\nAnswer: -3531.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(405) - 2*sqrt(405)) + 5.\nAnswer: -sqrt(3)\/9 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*x - 4*d - 162, 46*x - 96*x + 53*x + 2*d - 19 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-9)*(-4518)\/12. Is (-2)\/(4 + (-1006)\/j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(384) - (-3*sqrt(384) + sqrt(384)) - sqrt(384)) + sqrt(384) - sqrt(6))\/(sqrt(48)*-4).\nAnswer: -23*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u - 40. Let v be m(0). Let y be ((-30)\/(-75))\/(2\/v). Let c = 9 + y. Solve 5*f - 5 = -q - c, -3*f + 4 = q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -975*x + 35230. Give c(39).\nAnswer: -2795","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, l: 2, z: 1}. What is prob of sequence lmzm?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20419*a + 20419*a + 0 - 7*a**3 + 0.\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7072.737*4\nAnswer: 28290.948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/(-2352)*112)\/(((-5)\/(-74))\/(-5))?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -17871*-12\nAnswer: 214452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 14*h - 52. Let k be v(4). What is the biggest value in -8\/9, 2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 1395?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 275638, 275386, 275134, 274882, 274630, 274378?\n\"Answer: -252*o + 275890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = f. Suppose f = -4*x + 13 + 7. Let o be 21\/x - 5\/25. Solve o*q = -q - 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 - 6 - (42 + -45).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -474, -1760, -3910, -6930, -10826, -15604, -21270?\n\"Answer: -j**3 - 426*j**2 - j - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (5 + 3*sqrt(243) - (sqrt(243) - (sqrt(243) + -3))**2*-3)*6.\nAnswer: 190 + 162*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -2\/945*i**7 - 1\/270*i**6 - 2\/27*i**3 + 1\/1512*i**8 + 0*i + 2\/135*i**5 + 5*i**2 + 1\/108*i**4 + 0. Solve t(x) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 29*f**2 - 16*f - 41. Let k be g(30). Let d = -376 + k. Solve -13 = -5*t + 5*v + 2, t - d*v = 13 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 18 = -6*n. Let x(y) be the second derivative of 2*y + 0*y**3 + 0 + 0*y**2 + 1\/60*y**n + 0*y**4 + 1\/40*y**5. Solve x(k) = 0 for k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9767429 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -1) + (2 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -0.17 (b) -3 (c) 3\/4 (d) -139\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 8034 divided by 4\nAnswer: 4017\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (125*a + 101*a - 177*a)*(-26*a + 26*a + 5*a**2) - 3*a**3 + 4*a**3 - 2*a**3 to the form t*a**2 + z + o*a**3 + i*a and give o.\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.03479 * 35113\nAnswer: -1221.58127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47662, -95328, -142994, -190660, -238326, -285992?\nAnswer: -333658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (978\/(-1304))\/((63\/(-2))\/(120\/(-2)))?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 15600002 = -0*q - 2*q, 0 = g + 2*q + 15599998. What is g rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of 8*h**5\/5 + 10*h - 9. Differentiate i(q) wrt q.\nAnswer: 32*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*q**4 - 17918*q**3 + 2*q**2 + 11747?\nAnswer: -48*q - 107508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 986735, 986322, 985909, 985496, 985083?\nAnswer: 984670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1283 + 0?\nAnswer: -1283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1*(4 - 145\/35) + (-58112)\/(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*f**3 - 10*f**3 + 16*f**3.\nAnswer: 22*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.0684*-2\nAnswer: -0.1368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*u = -148*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 657257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1734 + -1734.5. What is the second biggest value in -0.1, 3\/5, t, -47?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yivwiwuwyyuiyi. What is prob of sequence iiu?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8\/3 + -2. Let i(h) be the first derivative of j*h**3 + 0*h - 3\/2*h**2 - 2. Find the second derivative of i(f) wrt f.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -1a2e6?\nAnswer: 1a2e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -19.4948 and 166.29984.\nAnswer: 146.80504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 290160787 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -44, -383, -0.1 in decreasing order.\nAnswer: -0.1, -44, -383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-49)\/(-21)*((-112)\/3528)\/((-2)\/204). Let -16\/9 - t*d**2 + 56\/9*d + 34\/9*d**3 - 2\/3*d**4 = 0. Calculate d.\nAnswer: 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 4*f = 8*a - 84, f + 19 = -2*a + 4*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -5*f**3 + 203790*f**2 - 407565*f + 203780 = 0.\nAnswer: 1, 40756","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221*o - 237*o = -21648. List the prime factors of o.\nAnswer: 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*c - 5*x + 84, -55*c - 5*x + 47 = -53*c - 45 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6*(-33)\/(-2) + -1. Suppose 2*w = -5*z - s + 250, -155 = -5*z - 5*w. Suppose z = 4*f + f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d + 1. Let a(f) be the first derivative of -f**4\/4 + 8*f**3\/3 - 7*f**2\/2 + 5*f + 3. Let i be a(7). What is the units digit of b(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**4 - z**3 - z - 2. Let a(x) = 444*x**4 + 5*x**3 + 5*x - 485. Let n(r) = a(r) + 5*m(r). What is the first derivative of n(y) wrt y?\nAnswer: 1796*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of 1\/2*i**4 - 70\/3*i**3 + 288*i**2 + 648*i - 199. Factor u(s).\nAnswer: 2*(s - 18)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2 - 17*f + 18. Calculate the remainder when 349 is divided by k(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14712)\/7429 + (-12)\/(-102) + 0. Let x = -38\/23 - n. Which is the fourth biggest value? (a) 1\/7 (b) 0.2 (c) x (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 891 - 891 - 842*d + 842*d - 261*d**3.\nAnswer: -261*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 48, 2, 1 in ascending order.\nAnswer: 1, 2, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.17 * 710437\nAnswer: -120774.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 948 + -944. Let u = -73.1 - -73. Which is the closest to u? (a) 13 (b) -2\/5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 2*z. Suppose -70 = -3*n + 5*v, z*n + 2*v + 112 = 4*n. Let h be n\/21 + 8\/14. Solve h*l - 4*l - 10 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -431650 to the nearest ten thousand.\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/3*130\/1950.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 617941.1 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 2*s + 10 = -0*s, v - s = -5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.156878201 + -10.8.\nAnswer: -10.956878201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 63.4 + -64. Let n = -3.4 + y. What is the nearest to 0.3 in n, 0, -2\/17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -11*g. Let x(z) = -3*z**2 - 4*z - 2. Let r(u) = -48*u**2 - 66*u - 33. Let h(n) = -2*r(n) + 33*x(n). Determine h(c(q)).\nAnswer: -363*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 11:48 AM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 8) to base 11.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.4, -21.2, -159\/4, 1\/5 in descending order.\nAnswer: 1\/5, -0.4, -1, -21.2, -159\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 15 + 13 + 5424*a**3 - 2 - 5432*a**3.\nAnswer: -8*a**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -6*n**2 - 19*n + 2251. Let l be r(-21). Determine h, given that 0*h**2 + 1\/4*h**l - 1\/4 + 1\/2*h - 1\/2*h**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 65 in -0.4, -0.23, -30?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 81634*d - 2122491. Determine s(26).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z + 3*y + 12, 0 = -3*z - 391*y + 402*y + 52 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**3 - 4*a**3 - 2*a**3)*(-2*a**2 - 3*a**2 + 9*a**2) + (-3*a**2 - 2*a**2 + 3*a**2)*(4*a**2 + 2*a**3 - 4*a**2).\nAnswer: -12*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -c + 7. Let t = 20 - 29. Let v = t + 17. Calculate the remainder when c is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4186*v - 8363*v - o - 31 = -4181*v, 4*v - 3*o - 93 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10715 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1206 - -1296. Which is the nearest to 0? (a) -2\/7 (b) 0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -22*h**2 + 4*h - 14. Let c(o) = 5*o**2 - o + 3. Let g(y) = 9*c(y) + 2*x(y). Let u(w) = 3*w**2 + w. Determine g(i) + u(i).\nAnswer: 4*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/2*(-32)\/(-6). Let q(r) = -r**3 + 4*r**2 - 5*r + 11. Let z be q(3). Suppose -u = -z*d + 18. What is the greatest common factor of 15 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**5\/2 - 333*a**4 + 67212*a**3 + 40967768*a**2 - 7481360040*a - 15126048144 = 0.\nAnswer: -554, -2, 222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -25 - ((1 - 9) + (-9 - -3)) - 37\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**2\/8 - 9239*w\/2 - 85359121\/2 = 0. What is w?\nAnswer: -18478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 2. Let i(t) = -t**2 + 6*t + 3. Let b be i(6). Let g(v) = 2*v**2 - b*v**2 + 0 - 1. Calculate g(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 1065 = 5*p, -14*h - 225 = -15*h + 3*p. What is the lowest common multiple of 54 and h?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -y + 2*v, -6*y + 5*v - 10 = -2*y. Let a = 10 + y. Suppose -3*c - 222 = -5*p - 6*c, -2*c = -2*p + 92. What is the greatest common divisor of a and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -6. Let u = 53.6 + -53.6. Which is the closest to n? (a) u (b) 5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 20*v + 15. Let y be i(-18). Let q = y - 49. What is j in -3*j**q - 30*j**3 - 60*j + 8*j**4 + 20 + 68*j**2 - 3*j**4 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(9\/(-2)*62\/(-93)). Solve 2*o = -4*c + 6*c, -h = 4*o - 5*c for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (32\/72)\/((-4)\/6)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32397 + -32396.5. Which is the biggest value? (a) 68.7 (b) 1 (c) -0.06 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -9*a**2 + 1152*a + 51297. Calculate q(-35).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5527526 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78)*4 - sqrt(78))*4 + 1*((sqrt(78) - (sqrt(78) + sqrt(78)*1)) + sqrt(78)))\/(-3*sqrt(60)\/(sqrt(10) + (sqrt(10) - (sqrt(10)*3 - sqrt(10)))*-1)).\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 - -39. Solve -4*b + 12 = n + n, -12 = -z*b for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10223324.1682 and 54.\nAnswer: -10223270.1682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -16857965, -16857975, -16857989, -16858007?\n\"Answer: -2*v**2 - 4*v - 16857959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 157914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 76, -2, 1800 in increasing order.\nAnswer: -2, 76, 1800","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1023)\/(-36))\/(1070\/4). Let j = 4849 + -1556527\/321. Let y = t - j. Which is bigger: 0 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*t**2 + 373*t - 367*t + 6*t**2 to the form v*t**2 + y*t + s and give v.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 377608 divided by 77?\nAnswer: 4904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w**2 + 29*w + 48. Determine l(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 79695.24 milligrams?\nAnswer: 79695240000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35974066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -33, -64, -117, -204, -337, -528, -789?\nAnswer: -1132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-88217)\/(-153219))\/((-38)\/60)?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*m - m + 5, -6 = 3*x. Let w be m*198\/(-4)*(0 - 2). What is the highest common factor of w and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 10 = 5*j, 0 = 5*l - 5*j + 4*j + 6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -0.03, 44, 23?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.02 - -0.06. Let t = -0.96 - q. Let f = -431\/20 - -109\/5. What is the biggest value in f, t, -0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9033 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.40838 rounded to zero dps?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -0*o - 2*o + 18, -2*o = 4*g - 12. Suppose -5*w + w = 5*a + 2, -o = a + 4*w. Solve -p + 12 = -2*y, y = a*p - 0*y - 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 8 = -5*g. Let o(m) = -11*m**g - 4 - 3 + 10*m**2. Let f be 1 - 1 - (0 - 0). What is o(f)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, r: 10, c: 2, w: 4}. What is prob of sequence icic?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18323723 and 44440?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 52063 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.946 - -0.054. What is the biggest value in d, 2\/13, 1.3, -3\/4?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 113 - 168. Let a = j + 57. Solve 8*y + 35 = 3*y - 2*z, -3*z - 25 = a*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one fifth of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 876066248?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 767 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h - 4*r = -7*h + 8, 5*h = -5*r. Let g = -16 + 32. Sort 5, h, g in descending order.\nAnswer: g, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/861028 and 53\/1008?\nAnswer: 30997008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3 - 6820*k**2 - 2903612*k + 2910436.\nAnswer: -4*(k - 1)*(k + 853)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - -1) + 1 + 18. Which is smaller: 18 or k?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13 + 16 - 36)*(1064 + 68*h**2 - 1064)*(-5 - 5*h**2 + 5) - h**4 + 0*h**4 + 0*h**4 to w + d*h**3 + j*h + m*h**2 + g*h**4 and give g.\nAnswer: 11219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2835209929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 341297 and 48829?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-nine fifths of a kilogram?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.5 and 3994.\nAnswer: 3995.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 32 = -6*u. Suppose -u = -2*f - 5*d - 24, -24 = -2*f + 5*d. Let j(g) = 0*g - 3*g + 4*g. What is j(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 77187.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 1:09 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*r + 3 - 3)*(-17*r + 9*r + 13*r) as l*r**2 + v*r + s and give l.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 90\/(-585) + -1*(-28)\/13. Put 4, -3, -5, u in increasing order.\nAnswer: -5, -3, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113\/(-2)*-1 + 2\/4 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -7.1. Let y = -0.4 + 0.7. What is the second smallest value in -2, y, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6, 34733 in decreasing order.\nAnswer: 34733, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*d = 4280, 16*d = -5*x + 18*d + 21392. Which is bigger: 4276 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 203357152 to the power of 1\/2, to the nearest integer?\nAnswer: 14260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 432\/24 + 160\/(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5719 * -0.4\nAnswer: 0.22876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 12 = -96*d + 99*d, 4*d + 2*t = 6. Which is smaller: d or -5\/846?\nAnswer: -5\/846","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40955 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.476 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 17 = -2*v. What is the remainder when v is divided by ((-10)\/(30\/27))\/(1\/(-1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w**2 - 3*w + 2. Let j(k) = -18*k**2 + 2 - 15*k**2 + 36*k**2 - 4*k. Determine 3*j(m) - 4*p(m).\nAnswer: -3*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 171600161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 1848*v - 7403. Calculate r(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = -3*s + 6*s. Calculate the common denominator of -145\/6 and (0 - -3) + (-290)\/s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 2 - 2)*(2 + 0 + 11 + (-1 + 1 - 2)*(-1 + 0 + 0)).\nAnswer: 30*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -13. Suppose -t*r = -0*r + 272. Is r\/(-6)*3\/2 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.054287 minus -0.4?\nAnswer: 0.454287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1901461184 and -2.7324?\nAnswer: 1901461181.2676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15136381049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 times -25?\nAnswer: -8000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = -0*t + 18. Solve -2\/7*l**t - 24\/7*l - 12\/7*l**2 - 16\/7 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6542 - 848*m**3 + 6538 - 13076 in the form u*m + r*m**3 + t + h*m**2 and give r.\nAnswer: -848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2198, -2212, -2236, -2270, -2314?\nAnswer: -2368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 116.1 or 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7652 to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 9*i**2 - 1022*i - 993*i + 2015*i. Let g(p) = p**2 + 4. Calculate g(z(j)).\nAnswer: 81*j**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1912784063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/423 and -1\/14226336.\nAnswer: 14226336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(1\/4))**(-21))**(12\/13)\/(m**(-4)*m**7*m)**(-21) assuming m is positive.\nAnswer: m**(777\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or 0.475?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2656 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -4*f**3 + 61856*f**2 - 239258960*f + 956046400 = 0.\nAnswer: 4, 7730","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*h - 14*h - 25*h + 13*h to the form v*h + k and give v.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 35977 minus -14?\nAnswer: 35991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 5, -91, 0, 2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1243 - 1105. What is the highest common factor of d and 368?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 3\/2, 1\/5, -9, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -144 and -32.\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3*r + 54 = -0*r, 90 = 5*s - r. Let l be -3 + 2 - (-34 + s). Let o(x) = -x**3 + 16*x**2 - 15*x + 12. Give o(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466512 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: What is the nearest to 2\/13 in -3558, -1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 3*o - 1277994, 2 - 14 = -4*b. Round o to the nearest ten thousand.\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6897)\/(-5985) + ((-612)\/84 - -7)?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-9) - 104\/(-18). Suppose v*r - 17*r + 220 = 0. Calculate the remainder when 37 is divided by r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/161 and 11\/63.\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 40.24?\nAnswer: -39.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 41, -0.5, 1\/3, -4\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 136, 128, 110, 76, 20, -64?\nAnswer: -182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*4\/(4\/(-1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-25))\/((-75)\/2250).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (-21 + 24 - -32) + (7 - 2).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6704121, -13408231, -20112341, -26816451?\n\"Answer: -6704110*a - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 16*i - 3*i**2 + 30*i - 8 as p + n*i**2 + w*i and give w.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95953152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5092, 10236, 15378, 20518?\n\"Answer: -s**2 + 5147*s - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q**(3\/14)*q*q)\/q)\/(q\/(q**(-4\/7)*q*q)*q))\/(q**16\/(q\/(q\/(q\/(q**(-17)\/q))*q))))**16 assuming q is positive.\nAnswer: q**(296\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 5*l + 1. Let f = 21 - 16. Let u be r(f). Let d be 3 + -4 + u + 2. Solve -6*j = -d*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 10. Calculate the remainder when g is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 22 = -7*u + 3*n, 2*u + 3*n = -20. Let h = u - -10. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 3*i + 12 = 0, -2461*a + 2458*a + 14 = 5*i for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 2 j, and 1 h when four letters picked without replacement from {z: 2, b: 5, e: 4, j: 2, h: 1}.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, r: 8, w: 4}. What is prob of sequence iwir?\nAnswer: 8\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -4*r - 4, 2*h + 5*r - 3*r - 2 = 0. Let q be ((-8)\/10)\/(h\/(-5)). Let y = q - 4. Is 0 equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/18 and 85\/2444.\nAnswer: 21996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -301, -3162, -7945, -14662, -23325, -33946?\nAnswer: -46537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*f + 9*f - 4. Suppose 2*x = v + f*v + 4, -v + 3*x - 6 = 0. Solve v*z = -z + 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2. Let i(m) = 172701*m**2. Determine h(i(d)).\nAnswer: 59651270802*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -7399999*j**4\/12 - j**2\/2 + 4*j. Let b be f(-1). Round b to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8063\/45 + -897\/5. Which is the biggest value? (a) y (b) 0.034 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -267743 - 23?\nAnswer: -267766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 6*w**2 - 636*w - 47436. Let v(j) = -4*j**2 + 631*j + 47435. Let s(p) = -3*c(p) - 4*v(p). Solve s(f) = 0.\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3151849?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -5. Suppose x + p = 4*x. Suppose -x*i = -3*g + g + 56, i - 50 = -2*g. Solve -2*v = -5*d + g, 0 = -5*d - 3*v + v + 14 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-181)\/(-2))\/((-5)\/(-70)). Let s = w - 634. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2*y**4\/11 + 83808*y**3\/11 + 1591758*y**2\/11 + 487400*y + 5026200\/11 = 0.\nAnswer: -41885, -15, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-27)\/648*45*14\/5.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23\/70 - 6\/35. Which is the closest to 3\/7? (a) 0 (b) y (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 3*r - 399, 2*r = 11*g - 16*g + 256. Let p(q) = -17*q. Let j(v) be the third derivative of -611*v**4\/24 + 2*v**2. Determine r*p(k) - 4*j(k).\nAnswer: 13*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -63*i + 9. Let d be j(-2). Let w = d - 672\/5. What is k in -3*k**2 - w*k**3 - 12\/5 - 24\/5*k = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 32, 60, 96?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 7 + 39*q - 37*q + 3.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -137*k**2 - 1092*k. What is s(-8)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, n: 5, z: 8, a: 2}. Give prob of sequence zaz.\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 4*d + 194, -4*d - 107 - 78 = -o. Let l = -42 - d. Suppose 0 = 3*c - l*m - 23, -5*c - m + 63 = -22. Does 4 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (607*j**2 - 4 - 12 - 1 + 17)*(-16*j + 6*j + 5*j)*(-5*j - j + 4*j) to the form t*j**4 + m + u*j**2 + k*j**3 + g*j and give t.\nAnswer: 6070","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 71 - 62. Calculate the smallest common multiple of 18 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71669 to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -25466 divided by 4\nAnswer: -12733\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 5*y - 2. Let s be u(4). Let b = 17 + -16. Calculate the greatest common divisor of s and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 131455.0493 to the nearest ten.\nAnswer: 131460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 24990319, 24990322, 24990325?\n\"Answer: 3*r + 24990316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1296750)\/(-280) + (-5)\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -233 (c) 1.1 (d) 102\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**5 + 15*j**4 - 20*j**3 + 10*j**2 - 1.\nAnswer: -(j - 1)**4*(4*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.3 - 3.3. Let c = -7 - -8. Which is bigger: c or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 26516616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 111*n**2 - 3*n - 4. Let m be j(2). Let y = m - 442. What is the closest to -1 in 2\/15, y, 5, -5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(12)\/sqrt(3)) + -5*sqrt(10)\/sqrt(2))*-5.\nAnswer: 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3199, 3201, 3203, 3205?\nAnswer: 3207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 1)*(2*h - 4*h + 4*h)*(300 + 294 - 593 + 31*h).\nAnswer: 124*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = h + k, -h - 5*k = -2 + 3. Suppose h*d + 22 = 5*d. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.51 - -2.51. Let a = 0.4 + -0.2. Sort z, 2\/13, a.\nAnswer: 2\/13, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2917 is divided by 49?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-116*b**3 + 116*b**3 - 9*b**4)*(-6*b + 3*b + 2*b).\nAnswer: 9*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1888*o + 1884*o + 4*k = -24, -2*k = -5*o + 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/4)\/f)**2)**(-35) assuming f is positive.\nAnswer: f**(105\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 110 + -1212\/11. Let r = -480 - -479. What is the closest to r in x, 0, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -177 + 176.3. What is the third smallest value in m, -15, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7781, -7788, -7807, -7844, -7905, -7996?\n\"Answer: -z**3 - 7780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 c when four letters picked without replacement from {c: 11, b: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12 - 22)*(-6)\/5. Let y be (4 + (-92)\/w)*-3. Suppose 4*d - 24*d**2 - 1 + y*d - 5 + 12*d**3 - 2*d**4 + 5*d = 0. What is d?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-21)\/(u\/(u\/(u**(2\/19)*u)*u)) assuming u is positive.\nAnswer: u**(-401\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -9 + 5 + 0 + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 16 + 56 + -4 - 39\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**2 + 5*i**2 - 11 + 87742*i**3 + 17*i - 87591*i**3. Let y(a) = 4*a - 1. Let r be y(-2). Let m be v(r). Round m to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 8*y**2 + 6*y + 9. Let h be z(7). What is the third derivative of 27*u**5 + 36*u**h - 131*u**6 + 142*u**6 - 30*u**5 wrt u?\nAnswer: 1320*u**3 - 180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 28 = -4*x. Suppose 3*d = 4*d - x. Suppose -2*c = -g + 6*g + 20, -3*g + 4*c = -d. What is g rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2003668790 a multiple of 11995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -3*v - 1395, 4*p - 3*v - 1396 = v. List the prime factors of p.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 5, 9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -16.\nAnswer: -16, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than 6427.7?\nAnswer: 6428.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/2*2\/(-2). Suppose -s + 3*t - 22 = s, -8 = -2*t. What is the closest to 1\/2 in d, s, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g**3 + 3*g**3 + 2*g**3 + 2*g**3.\nAnswer: 11*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**2. Let p(j) = -15*j**2 - 3 + 7 + 21*j**2 + 7. Let g(b) = 13*b - 25*b + b**2 + 2 + 12*b. Let m(n) = 11*g(n) - 2*p(n). Give t(m(u)).\nAnswer: 2*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5502, -1, -80, 2 in decreasing order.\nAnswer: 5502, 2, -1, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(5\/2))\/(-21*11\/(-9240))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 - 524598*g + 524601.\nAnswer: -3*(g - 1)*(g + 174867)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 29574 = 21*w - 17*w, t - 36976 = -5*w. List the prime factors of w.\nAnswer: 3, 5, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -6, 2*a - 4*s + 2 = -8. Let j = -2 - -3. Calculate the remainder when a is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(192) + (sqrt(192)*-2 - sqrt(192) - sqrt(192) - sqrt(192))))**2 + sqrt(192))*3.\nAnswer: 24*sqrt(3) + 230400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -57266, -114732, -172404, -230288, -288390, -346716, -405272, -464064?\n\"Answer: -j**3 - 97*j**2 - 57168*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/1)\/(1\/2). Let r(b) = -b**2 + 4*b**2 - y*b**2. Let p(h) be the second derivative of -h**4\/6 + h. Calculate r(p(d)).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of c**4\/12 + 5*c**2\/2 + 5. Let l(y) be the second derivative of j(y). Let w(o) = -6*o**2. Determine l(w(i)).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*g**2 + 1280*g + 61.\nAnswer: -(g - 61)*(21*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -1\/4 (c) -7\/2400\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-81570*v**3 + 156043*v**3 - 81242*v**3)*(-2*v - 3 + 3 - v**2).\nAnswer: 6769*v**5 + 13538*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/241? (a) -1\/8 (b) -4\/3 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 500232959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*p + v + 2*v, 5*p - 5*v = 25. Let u be 3 - 1*(p + -8). Suppose 0 - u = -2*f. Solve f*r + 30 = 5*g, -3*r = -4*g + 3 + 17 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61118.0262 minutes to weeks.\nAnswer: 6.06329625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 1:51 AM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104 - 216*d**2 - 213*d**2 + 426*d**2 + 104.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 412 - 293. Let r = f + -72. Calculate the remainder when r is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.04, 0.5, 61, 4\/3, 1\/5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7901?\nAnswer: 7901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 85*n - 678. Let z be i(8). Solve 3*h = z*a, -2*a + 0 = -5*h - 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2*(sqrt(2448)*-1)**2 + (sqrt(2448) + -3 + -5 - sqrt(2448)).\nAnswer: -4906","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 293*n**3\/3 - 311*n**2\/2 - n - 371. Find the second derivative of q(p) wrt p.\nAnswer: 586","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104942 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*p - 12*p + 2*h + 205, p + 5*h = 57. Calculate the remainder when p is divided by 17 - 1 - (1 + -4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 202 + -225. Let n = 0.041 - -19.959. Let z = n + a. Which is smaller: 3 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w + w + 3*w + (3*w - w - 4*w)*(-104 - 30 + 5) in the form b*w + p and give b.\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 910 = 3*f, 0 = -f + 3*f - d + 603. Let v = f - -487. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/((-6)\/21766)*(1 + -3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**3 - 3*o**3 - 3*o**3)*(0*o + 0*o + o).\nAnswer: -4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11955 by 1.\nAnswer: 11955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) - (sqrt(95)*-1 - sqrt(95))*-4) + sqrt(95) - sqrt(95))\/(-5*sqrt(15)\/sqrt(3)).\nAnswer: 7*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*q - 4*q = 45 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 4)*(-10 + 6 + 16)*(6*v + 2*v - 5*v).\nAnswer: -72*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 11 = 51. Suppose -2*u + 11 = -k, u - 5*k = -2*u + o. What is the remainder when 18 is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293805.75 hours in days?\nAnswer: 12241.90625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -183, -372, -563, -756, -951, -1148, -1347?\n\"Answer: -j**2 - 186*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4531 and 61070?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5847*j*y**2 - 48*j*y + 2*j + 292*y**2 + 5*y + 241 wrt y?\nAnswer: 11694*j + 584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 383*j + 75. Let k be g(4). Suppose k = -18*b + 10571. Does 26 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -1. Let h(k) = -k + 1. Let j be h(q). Suppose i - 8 = -2*r + 7, -j*i + 5*r = 0. Put -5, i, 1 in ascending order.\nAnswer: -5, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3263 rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 10*k**2 + 8*k - 7. Let t be f(-9). Suppose 3*i - 97 = -0*i + t*p, 20 = 5*p. List the prime factors of i.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 5*v = -25, 3*f + 15 = 5*v + 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) 3\/7 (b) 4\/7 (c) 64 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -33 + 3. Let v(n) = 2*n - 8. Determine v(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -81*r**2 + 5*r + 855. Let t(v) = -65*v**2 + 4*v + 684. Let q(p) = 4*m(p) - 5*t(p). Let o(z) = 1 + 3*z**2 + 3 + 17*z**2. What is q(o(j))?\nAnswer: 400*j**4 + 160*j**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 8450 and -1?\nAnswer: 8451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -w**6\/30 - w**5\/60 - w**4\/12 - w**3\/6 - 3*w**2. Let y be x(-1). Solve -2*f - 9 = 2*f - k, y*k + 6 = 2*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -4*t + 4444, 4*x + 586 = -4*t + 5042. Suppose 0 = 13*p - 3*p - t. What are the prime factors of p?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -43 + 4*t + 43 - 358*t**3 - 202*t**2 + 202*t**2 as y + d*t**2 + x*t + n*t**3 and give n.\nAnswer: -358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + (8\/2)\/(-4). Let g be 250\/90 - 2\/(-9). Is l at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 505 is divided by (-3)\/(18\/(-75))*(-252)\/(-210)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 12:45 PM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 325*w**3 - 52. Let b(l) = 31*l**3 - 5. Give 52*b(q) - 5*k(q).\nAnswer: -13*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1092673, 4370706, 9834095, 17482840?\n\"Answer: 1092678*h**2 - h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 13*t. Let w(n) = 4*n. Let s = -13 - -21. Let i(d) = s*w(d) - 3*y(d). Let h(x) be the third derivative of -x**5\/60 + 3*x**2. Calculate h(i(a)).\nAnswer: -49*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 33 = 8*j + 10, -3*g = 2*j - 11. Is -4\/401 greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6242673 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5287 + 5384. Put g, 8, 3 in decreasing order.\nAnswer: g, 8, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10642 and 714.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1018.1 times -3\nAnswer: -3054.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.209 rounded to 1 dp?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (76500\/(-40))\/51*((-16)\/50)\/((-6)\/15)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1804693485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -169*s + 176*s + 56 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 384 + -65. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-462)\/(-308)*(3 + -5). Let w = 0.1 - 0. Sort -1\/14, w, 1\/2, n in decreasing order.\nAnswer: 1\/2, w, -1\/14, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1324*o + 1254*o - 2647*o + 276 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (77928\/28)\/2 - 20\/35?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/16*-6)\/((-6)\/(-8)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 259, -5, 8, 4 in ascending order.\nAnswer: -5, -2, 2, 4, 8, 259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of g**5\/90 - 26*g**4\/3 + 2704*g**3 + 576*g**2. Factor x(n).\nAnswer: 2*(n - 156)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 2*c + 2. Let y be u(2). Let f = y - 2. Let r = -232 - -235. Solve -2*n = -0*l - r*l, 4*l = f for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6, -44, -80, -114, -146, -176, -204?\n\"Answer: g**2 - 41*g + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(96\/(-9))*-4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 10) to base 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -546*n**2 + 546*n**2 + 339*n**4 + (-n**3 + 3*n**3 + 0*n**3)*(-2*n - 11*n + 2*n).\nAnswer: 317*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 187\/167850 and -89\/13428.\nAnswer: 335700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*y - 4*y**5 + 2*y**4 - 2*y**4 + 26*y wrt y.\nAnswer: -80*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 4:53 AM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 7*d**2 - 27*d - 112. Calculate the smallest common multiple of r(-6) and 222.\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.5 + 0.42. Let h = 977 - 973. Which is the nearest to d? (a) h (b) -1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of 439*d**4\/2 - 1283*d**3\/3 + 63. What is the third derivative of x(k) wrt k?\nAnswer: 5268","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -1.9. Let f = m - 0. Let s be (-132)\/108 + (-2)\/(-9) + 1. Which is the closest to -2? (a) f (b) 5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/3*(-3)\/12*-6. Let l be ((-4)\/(-8) - 11\/i) + -4. Solve -l = -4*h + 5*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 11*d + w, -80 - 116 = -3*w + 56 - 189 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1279 times -0.20438?\nAnswer: -261.40202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29393 = 713*v - 22015 + 13619 for v.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 6, 0 = -5*f - s + 37. Let a(p) = p**2 - 7*p + 1. Let b be a(f). Calculate the highest common divisor of b and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c + 4. Let i = 89 - 40. Let j be 40\/7 + 14\/i. What are the prime factors of x(j)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.08 - -0.07. Let v = 0.1514 - s. What is v rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.1 times 8\nAnswer: -56.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -51*c**3 - 2*c**2 - c**2 - 26*c + 53*c**3 + 9*c**2 as n*c**2 + v + w*c + o*c**3 and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4*1*4*(4 + sqrt(17) + 2).\nAnswer: -93 - 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3353 + 3379 + (-19 - (0 - 1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 10:21 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*y**3 - 23*y**3 - 52*y + 2*y**2 + 57*y)*(-2 - 1 + 1).\nAnswer: -2*y**3 - 4*y**2 - 10*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 21*q**2 + 6. What is p(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1706 + -11944\/7. Let f = 211\/5 + -42. Put -0.08, a, -5, f in ascending order.\nAnswer: -5, a, -0.08, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 25 + 72\/(-54)*6. Solve 4*m = 3*i - 26, -5*m + 41*i = 45*i + y for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/7)\/(g\/g**(2\/37))*(g*(g*g*g**(-7)*g)\/g)**(-28))**(-13) assuming g is positive.\nAnswer: g**(-374881\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, -0.7, -7, -4, -63\/23?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + (-6*sqrt(104)\/sqrt(2) - (sqrt(156)*-1)\/sqrt(3))\/(sqrt(484) + -2*sqrt(484)*4))**2.\nAnswer: -72123\/5929 + 60*sqrt(13)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 307 in increasing order.\nAnswer: -2, -1, 307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of t**7\/210 - t**6\/24 + t**3\/3 + 2*t**2 + 66. Find the first derivative of x(c) wrt c.\nAnswer: 4*c**3 - 15*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 5:01 PM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(2560\/(-470)) + (1 - -2)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (-1)\/(-9*1 + 34202412\/3800277)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of s**4\/2 + 7*s**3\/6 - 23*s**2. What is the tens digit of o(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-3)\/(-1)))\/(287\/(-1722))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 41?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -334, -324, -314, -304, -294?\n\"Answer: 10*g - 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.45 less than -0.17379?\nAnswer: -2.62379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-245)\/(-2)*(-25)\/(-125)*-1)\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -2 - 0 - (60 + -62 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35007106 to the power of 1\/4, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -176*k + 3*k**2 + 172*k + 9*k**2 to t*k**2 + j + l*k and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + m = 460. Let v = m + -52. Is v a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/3 - (-6)\/(-9). Let c(w) = -10*w**3 - w**2 + 24*w - 71. Let g be c(5). What is the hundreds digit of 11\/(-33) + g\/u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1325, -2, 5 in descending order.\nAnswer: 1325, 5, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 463291632?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 352 and 62931088?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-23\/4)\/(k*k\/k**(20\/9)) assuming k is positive.\nAnswer: k**(-199\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -648 + 1373. List the prime factors of v.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -5) + (5 - (-4 - -13))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -9894046.76 to the nearest 100000.\nAnswer: -9900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -5, -2, 0.0912, 26?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 76, 169, 262, 355, 448?\n\"Answer: 93*l - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -433, -3427, -11525, -27271, -53209?\nAnswer: -91883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u. Let n(h) = 42164040*h. Give o(n(c)).\nAnswer: -42164040*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 5)*(57071 - 57071 - 708*n - 2*n + 28 - 28 + (-2*n + 3*n + 0*n)*(1 + 0 - 3)).\nAnswer: -712*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.8 + -3. Let k = 920\/9 - 102. Put t, -4, k in descending order.\nAnswer: k, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2026*s - 1. Let o be c(1). Let r = o - -26407\/13. Let d = 642\/143 - r. Is d greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**11)\/z*z)**(-35))**(-6\/7) assuming z is positive.\nAnswer: z**360","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9468*j - 318884 = -1528*j for j.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -6*k + 29. Calculate r(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1225) + sqrt(25))*-3)\/(sqrt(720)*3))**2.\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sk when two letters picked without replacement from xskkxkkkxkkkxxkkk.\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17416*f**2*n + 668*f**2 + f*n - f + 432139018*n with respect to f.\nAnswer: -34832*f*n + 1336*f + n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**5 + 161*q**4 - 3296*q**3 + 31268*q**2 - 128352*q + 141120 = 0. Calculate q.\nAnswer: 5\/3, 12, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 222, -1304, -3954, -7728, -12626, -18648, -25794?\nAnswer: -34064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2499 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53 or 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2815569384.\nAnswer: 2, 3, 41, 419, 6829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 1206*m + 3. Let y(k) = -1205*k - 5. Give 3*w(u) + 2*y(u).\nAnswer: 1208*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-222)\/(-15) - (-2)\/10. Let n = v + -31. Is 1 + -1 - (n - -3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 13, 248, 1, 3, -44, -4 in ascending order.\nAnswer: -44, -4, -1, 1, 3, 13, 248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (585\/(-10530))\/((-4)\/(-10)*(-6)\/(-36))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -3*x**4\/4 - 4*x**3\/3 - x**2\/2 + 4*x + 465. Let d(y) = -y**2 + 1. Give a(j) - 4*d(j).\nAnswer: -3*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 3*a + 5. Let w be a + (-1)\/((-1)\/2). Is (-1)\/(1\/(-15)) + w a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*n**4 + 4*n**4 + 0*n**4 + (-2*n + 2*n - 12*n**3)*(-n - 4*n + 4*n).\nAnswer: 31*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1890*5.\nAnswer: -9450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/7 (b) 0.07 (c) 6 (d) -17 (e) 0 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2000)\/2800*(-7)\/(-10)*82*1\/1.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 170*(286\/13)\/(-44).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 13202283 to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 6 = -3*a. Suppose 22*m - 1 = 43. Find s, given that -3*s**2 - m*s**3 + 4*s**3 + a - 3*s + s**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6233344 to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/9*f + 4\/9 - 2\/9*f**2 = 0. Calculate f.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 100873722, 201747452, 302621182, 403494912, 504368642?\nAnswer: 605242372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 625, 2987, 6925, 12439, 19529?\n\"Answer: 788*g**2 - 2*g - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3*(4*(-2*sqrt(39))\/sqrt(3) + -3*sqrt(156)\/sqrt(108)) + 2)**2.\nAnswer: -108*sqrt(13) + 9479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12.64 + -8.7. Let n = 211.06 + -211. Let g = s + n. What is the fourth smallest value in 0, g, 3, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -179, 1193, 3481, 6685, 10805?\n\"Answer: 458*v**2 - 2*v - 635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 4*x + 10 = 0, 3*v - 8*x + 3*x = 18 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 275 - 272, 0 = -5*y + 3*d + 23 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) -4 (b) 450\/19 (c) 0.033 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g**2 + 305*g + 8177. Calculate j(-26).\nAnswer: 2275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 221 - 213. Let p(v) = -13*v - 1. What is the least common multiple of o and p(-1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/18)\/((-76)\/19).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -11*k + 12*k + 2, 0 = k + 4*j + 17 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (96215*l**3 + 77329*l**3 - 121492*l**3)*(2*l + l - 2*l) as v*l**3 + k*l + n + h*l**4 + j*l**2 and give h.\nAnswer: 52052","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -h**2 + 0 - 5*h + 1\/6*h**3 + 1\/12*h**4. Factor t(o).\nAnswer: (o - 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -i - 10, -t + i + 4 = 0. Which is the smallest value? (a) t (b) -12 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -76 - -76.4. Which is the fourth smallest value? (a) -1 (b) -1\/2 (c) 0.5 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(1728)*2*2 + -2.\nAnswer: -2 + 480*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 266623379 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ra when two letters picked without replacement from rfffaraaf.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**3 - 2*d**2 + 40*d - 51. What is the thousands digit of w(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -167777\/36 + 9329\/2. Calculate the common denominator of (-555)\/36 + (-3)\/(1\/(-1)) and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 11*u + 812. Suppose -2*y + 3*f + 2*f + 235 = 0, 2*f = y - u. What is the greatest common divisor of y and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, f: 2}. Give prob of picking 2 t and 2 f.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is df - -87?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1443 divided by 1443?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and -598650994.8.\nAnswer: -598650994.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yllyllylllll. Give prob of sequence ylyl.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 347, 2, 5, 7, -4 in increasing order.\nAnswer: -4, 2, 5, 7, 347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2232244 divided by -5?\nAnswer: -2232244\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 5*c**2 + 5*c - 11. Let o be q(5). Let x(u) = 13 + 4 + 13*u**2 + 0*u**3 - u**3 + o*u + 3. What is the tens digit of x(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**2 + 16 - 12079*v + 11801*v + 2*v**2.\nAnswer: -v**2 - 278*v + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 148*p**2 + p. Suppose -7 = -2*x - 5*b, 3*x - 5*b + b = -1. Let u be (-3 + 2 + 2)*x. Is o(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 2*t + 10. Let a be z(-4). Suppose -a*g = -g + 450000. Round g to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of 17*o**4\/24 + o**3\/3 + 11*o**2 + 13*o. Let c(p) = 9*p + 1. Calculate -11*c(u) + 6*z(u).\nAnswer: 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10 - ((-1)\/1 + 3). Suppose 27 = a - 3*b, k = 2*b + 2*b. Let l = a + -18. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 269257*p**2 + 54*p - 52. Is y(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1055 divide 66888252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -w**2\/2 - 2*w - 6. Let k be d(-4). Solve k*y - 16 = -2*y + 2*g, -2*y - 4*g = 2 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14085 is divided by 3317.\nAnswer: 817","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-33)\/(-2))\/((-7)\/(-14)).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -5*d**3\/6 + 27*d**2\/2 + 21*d. Let z be r(5). Solve -4*l + 7 = -z*l - 3*o, 4*o = -12 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 247, -3\/7, 0.1, -9, 0.2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 64\/((-16)\/4). Let i(u) = 10*u**3 - 1. What is the remainder when i(1) is divided by (-5)\/p*18\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25190319.\nAnswer: 3, 7, 11, 109049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 7) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12\/1957? (a) 0.1 (b) 22\/23 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 4*a + 19, 9 = 4*d - 4*a - 7. Let x = 17 - d. Find the third derivative of -25*n**2 - 22*n**4 - 25*n**2 + x*n**2 wrt n.\nAnswer: -528*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 32*v + 32*v - 60*v + 3 - 5. Let k(i) = i + 2. Let z(q) = 2*k(q) - p(q). Give z(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z - 168 = 7*z. Calculate the greatest common factor of z and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -300*j - 51898. Let x be l(-173). Solve -48\/7 - 10\/7*v**x + 124\/7*v = 0.\nAnswer: 2\/5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 669335*x - 19 = -l + 669339*x, 4 = 8*l + 5*x for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 835930?\nAnswer: 2, 5, 179, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1577 and 623828.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/315*-14*1\/36*-10.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.005 and 31.65926.\nAnswer: -0.1582963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*a + 3. Suppose 0 = 4*r - a - 43. What is the least common multiple of 14 and r?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q + 1. Let x(s) = 34*s - 7. Let f(a) = 2*g(a) + x(a). Is f(14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - 1\/(21\/1341). Let f = u + 62. Let q = f + -11\/28. What is the nearest to q in 5\/3, 3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 563612404 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*b - 8 = 20 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 10:00 PM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -4\/3, 1.8?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19066 + -19053. Let f(k) = 12*k**2 - 16. Calculate the remainder when f(-8) is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(162) - sqrt(162))*4)\/(5*(sqrt(108)*-1 + sqrt(108) - sqrt(108))\/sqrt(12)).\nAnswer: 36*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 9, p: 2}. What is prob of sequence pqp?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*f**4 - 4*f**4 + 0*f**4)*(4 - 4 + 1)*(16 - 240 + 35) to the form j + x*f**2 + u*f**4 + i*f + c*f**3 and give u.\nAnswer: -378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 422 divide 190940913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2439209.661 rounded to the nearest ten thousand?\nAnswer: -2440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 322*p**3 - 13*p**2 + 25*p + 3. What are the prime factors of o(2)?\nAnswer: 3, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, a: 6, g: 2, n: 1}. What is prob of sequence aa?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3 - 66*x**2 + 465*x - 1050.\nAnswer: 3*(x - 10)*(x - 7)*(x - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4718070057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 74, 343, 810, 1475, 2338, 3399, 4658?\n\"Answer: 99*b**2 - 28*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 261765 and 5670.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 3*f - 4*o, 0 = -4*o. Suppose -2*w + 3 = -3*u + 6, f = -2*w + 6. What is the third derivative of 255*p**3 + 10*p**2 - 109*p**u - 122*p**3 wrt p?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 5:58 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.8 - -20.3?\nAnswer: 24.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of 13*r**3\/6 + r - 84. Let h(p) = -14*p. Let c(j) = 9*j. Let n(t) = 8*c(t) + 5*h(t). Calculate n(g(v)).\nAnswer: 26*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21268002?\nAnswer: 2, 3, 7, 506381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11588*c + 5905*c**2 - 23179*c + 11591*c to y + z*c + q*c**2 and give q.\nAnswer: 5905","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.034 + -2.096. Let j = -0.13 - n. Let i = j + 0. What is the biggest value in -1\/4, i, 1\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 88.3382 to zero decimal places.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7632281\/33 or -231281?\nAnswer: -7632281\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -902, -1971, -3120, -4337, -5610, -6927, -8276, -9645?\nAnswer: -11022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 22*a**2 - a. Let y(d) = 22*d**2 - d + 2. Let f(v) = -5*t(v) + 6*y(v). What is the remainder when f(2) is divided by 38?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1693 - -3234. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8099*z + 16196*z + 10*z**2 - 664 - 8095*z in the form c*z + a + y*z**2 and give a.\nAnswer: -664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353951 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 5*k + 2 + 21 = 0, 0 = a - k - 17. Suppose t = 2*x - a, 4*t - 13*x = -10*x - 33. Put -2, t, -7 in decreasing order.\nAnswer: -2, t, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25350 (base 7) to base 16.\nAnswer: 1a2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -208 greater than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - p. Let o be d(-1). Suppose 1078*r - 1068*r - 20 = 0. Suppose o = y - r*y + 68. What are the prime factors of y?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2490*y + 24897. What is t(10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*h - 5. Let s be -1*(-1)\/(h\/(-10)). Suppose 2*y + 14 = s*u, 4*y = 5*u - u - 16. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 423202?\nAnswer: 2, 13, 41, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 3*q - 3. Let s be j(3). Let l(c) = c + 7. Let r be l(-5). Suppose -2*w = 3*m + m, 4*m + w = 0. Put s, r, m in increasing order.\nAnswer: s, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a - 20. Calculate l(-10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -138069, -139784, -141499, -143214?\nAnswer: -144929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.98356112 rounded to four dps?\nAnswer: 0.9836","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of 0 + 3*s - 1\/2*s**3 + 1\/12*s**4 - 5\/2*s**2. Is w(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = j - 120. Let n = -14 + j. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**2\/2 - 125*g + 15625\/2 = 0. Calculate g.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33be (base 15) to base 3.\nAnswer: -120001122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or 0.04?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -923 (b) 1 (c) -320\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 204 = -4*o, o = 5*n - 2*n + 51. Let l be (-3)\/1*o\/9. Let c = 33 + l. Calculate the highest common factor of c and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8058 divided by 237.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*r + 30*r = 8*r + 1460 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z - 3*z + 2*z**5 + (0 + 0 + 2*z)*(6*z**4 - 5*z**4 - 3*z**4).\nAnswer: -2*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -j**5\/60 + 37*j**4\/36 - 323*j**3\/18 - 361*j**2\/6 + 41*j - 1. Factor i(w).\nAnswer: -(w - 19)**2*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -16, -32, -52, -76?\n\"Answer: -2*t**2 - 10*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three tenths of a millennium in decades?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 21*z**2 + 2509*z + 10072. Determine b(-4).\nAnswer: 372","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**2*f + 290*b**2 - 630*f with respect to b.\nAnswer: -2*b*f + 580*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 149 + 203. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**5 - 14*m**4 + 49*m**3 + 16*m**2 - 176*m - 128.\nAnswer: (m - 8)*(m - 4)**2*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = -0*j + 7*j. Suppose 0 = 7*l - j*l + 45. Suppose -l*k = -6*k - 477. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 340 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14877 and 61857.\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 5:44 AM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 - -32. Suppose -w*x + 2070 = 2*x. What is the third derivative of -36*a**4 - 27*a**2 - 414*a**3 + 66*a**2 + x*a**3 wrt a?\nAnswer: -864*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of b**7\/14 + 27*b**6\/5 + 3267*b**5\/20 + 2430*b**4 + 16200*b**3 + 5038*b. Find r, given that o(r) = 0.\nAnswer: -15, -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(2\/5)*q)\/q**3)\/(q\/(q**6*q)*q\/((q\/(q**(-4\/7)*q*q*q))\/q*q)))**(-37) assuming q is positive.\nAnswer: q**(-3848\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.53 to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12 - 832\/65)\/((-7)\/5). Let g = -26 + 31. What is the closest to -0.2 in k, g, -5\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -105 + 183. Let b(t) = h + 2*t - 150 + 53. Let f be b(12). Solve f*i = 2*i - 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 15 = -d, 13 = -3*r + 4*d + 5 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 5*r + 2*w - 65, 0 = -2*r + 4*w + 8. Solve 2*n + 2*n - 5*b = -14, -5 = -3*n - r*b for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 871 and 9313?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4444935 divided by -3?\nAnswer: 1481645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151238 is divided by 145274.\nAnswer: 5964","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m**4 - 36447742*m**3*r + 6154*m**2 + 200*m*r - 4*r wrt m?\nAnswer: -24*m - 218686452*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - x + 1. Let b(y) = -8*y**4 + 3*y**3 + 119*y - 3. Let g(p) = -b(p) - 3*o(p). What is the second derivative of g(t) wrt t?\nAnswer: 96*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(8\/6)*((-56)\/6)\/14.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -6.1. Let i = -62 - -62.05. Let d = -1 + 1.4. What is the smallest value in d, i, c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.17539 - -6.95761. Round z to 0 dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of 1\/120*s**6 + 16\/105*s**7 + 0*s**3 - 131*s**2 + 0*s**5 + 0 + 0*s - 37\/6*s**4. Find the second derivative of v(q) wrt q.\nAnswer: 384*q**2 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5*i = 4, -70 = z - 3*i - 76. Solve 4\/5*n**4 + 1\/5*n + 6\/5*n**z + 4\/5*n**2 + 1\/5*n**5 + 0 = 0 for n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 161*f**2 - 167*f + 782. Determine u(162).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2604 by -2305.\nAnswer: 2604\/2305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 w when two letters picked without replacement from ziwwzmzwwwewmw?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 - 31. Suppose 0 = 11*p - 6*p - 20. What is the third derivative of -11 + 11 - p*z**6 - 7*z**6 - 11*z**a wrt z?\nAnswer: -1320*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.711972 greater than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*(v\/(v*((v*v**(-3))\/v*v)\/v))\/v)\/v**(-1\/5))\/(v*v**(-2\/15)*v**(2\/11)) assuming v is positive.\nAnswer: v**(104\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 5*c - 2179, -2167 = -c - 4*c - y. What are the prime factors of c + (-3 - (-3 - -1))?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 504 and 8946.\nAnswer: 35784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14439801 and 321111.\nAnswer: 5097","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 11 + 620. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -1, 3, 32?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1336 + (-4)\/(3 - -1). Suppose -5*k = -t - 5230. Let u = k - 2773. Round u to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*d + 29 - 119 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 7*t + 102 = 0. Is t a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3211018 by 43.\nAnswer: 3211018\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 137788 - 137784. Factor 2*p**2 + 1\/2*p**5 + 1\/3*p**w + 7\/6*p - 3*p**3 - 1.\nAnswer: (p - 1)**3*(p + 3)*(3*p + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/61 != -89\/919?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 + 26. Let p be w\/7 + (-4)\/(-6). Let o = 0 + 4. Which is the second biggest value? (a) o (b) -0.4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjy when three letters picked without replacement from {b: 1, j: 3, e: 2, s: 6, y: 2}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -681 - -995. Suppose 6*g - o = -2. Is g a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -103.3402273 to 1 decimal place.\nAnswer: -103.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 147 and 441.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -11.07.\nAnswer: 2.214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 292628837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 489?\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211 is divided by 79.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d + 2. Let i(b) = 7*b + 8. Let m(z) = -i(z) + 4*y(z). Let l(r) = 3*r**2 + 3*r**2 - 5*r**2. Calculate m(l(s)).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9566.\nAnswer: 2, 4783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 38 - 7)*(0*a - a + 0*a) - 4 - 3 + 2*a - 3 + (6*a + 9*a - 4*a)*(3 - 4 + 2).\nAnswer: -19*a - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 2*q. Suppose 29*l - 24*l - 10 = 0. Solve q = -3*g - l*f, g - f = -0*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -722, 2\/3, -4, -1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*h + 17, 3*h = -c + 3*c + 20. Let b be (1 - 1)*c\/26. Suppose b = -4*t - 48 + 192. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 9*c**2 + 6*c - 18. Let r = 35 + -23. Let x be (-3)\/((r\/28)\/((-8)\/7)). What are the prime factors of s(x)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -233 - -239. Solve w*g + 0*g = -6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 8. Suppose -f*h - 2*h + 130 = 0. Let g = h + -18. What is the lowest common multiple of 14 and g?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 230 = 23710\/103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -2*o**5\/75 - 4*o**4\/15 - 16*o**3\/15 - 32*o**2\/15 - 32*o\/15 + 1. Find j such that x(j) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 109378\/455113 - 48\/199. Is -1 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 7, 49, -72, 1, -1 in descending order.\nAnswer: 49, 7, 1, 0, -1, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-472)\/168 - (2 + (-55)\/20) and 23\/72.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/(1092\/(-18)))\/((-9)\/(-21)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/7 of a week?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - 2. Let d be 12\/3 + 44\/h. Factor -8\/7*s**2 + 4\/7 - d*s**3 + 2\/7*s.\nAnswer: -2*(s + 1)**2*(3*s - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1 - (-125)\/(-9))\/(24\/(-18)) and -69\/28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 989? (a) -0.3 (b) 1 (c) 0.189\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -10*y**2. Let q(l) = -86*l. Determine q(f(g)).\nAnswer: 860*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2390 + 2387. Let c = -131 - -48. What is the third smallest value in -5, c, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9 + (-280)\/(-32))\/(3\/2). Let k be (2 + 4*-1)\/5. Which is the second smallest value? (a) o (b) 5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 51\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*c**3 - 10*c**2 + 10*c**2 - 2*c**3 - 4*c + c + c**3 + (-3*c - c + 2*c)*(-2*c**2 - c**2 + c**2) in the form n*c + o*c**3 + x + q*c**2 and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57409870.\nAnswer: 2, 5, 7, 117163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 3022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 3*c**2 + 9*c. Let d be x(-6). Is 17 a factor of d\/8 + 7\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 28 = -8*v. Is v a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 61 and 183.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.1915 grams in milligrams?\nAnswer: 77191.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -1, -0.2, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-7)*255\/870. Let w = 10\/29 + b. Let t = -8 + 7.9. Do t and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 3:20 PM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -33*n**4 + 4*n**3 - 323 wrt n?\nAnswer: -132*n**3 + 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 277961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7476158 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 smaller than -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, d: 7, c: 3}. What is prob of picking 1 c, 2 d, and 1 l?\nAnswer: 189\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.03 + -0.07. Suppose -p - 4*f = 16, -2*p = 3*f + 8 - 1. Let q = -466\/3 - -156. Sort p, a, 2, q.\nAnswer: a, q, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 10. Put 1, v, -2, -1 in decreasing order.\nAnswer: v, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -633*i**2 + i - 13*i**3 + 635*i**2 - i.\nAnswer: -13*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-51)\/(-34) + (2 - (-3)\/2). Suppose -r - q = -49. List the prime factors of r.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12401334 (base 5) to base 16.\nAnswer: -1dcee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.889375us in seconds?\nAnswer: 0.000008889375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 63 = 3*n - 45, -4*s = n + 124. Does 23 divide ((-6)\/(-4))\/(s\/(-1480))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.814 - 7.144. Round r to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 22 - 61. Suppose 2 = -g - 3*p - d, -2*p - 20 = 4*g. Let c = 14 - g. List the prime factors of c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*5*(-6)\/(-60)*-2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11289 times 2?\nAnswer: -22578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 11, u: 5}. What is prob of picking 1 u and 2 q?\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*f - 423927 = 72*f - 53*f. What is the thousands digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, v: 2, a: 1}. What is prob of picking 1 v and 1 g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.049 times 732837\nAnswer: 35909.013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*g + 95. Let k = g + 12. List the prime factors of (-6)\/7*(k + 0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -16. Which is greater: 2\/5 or z?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*y + 7*y + 168 = 0. Solve -4*j = y*j + 12 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 2*a**2 - 15*a + 4. Let z be h(5). Solve 4*l = -z*p - 4, -4*p - 3 = -4*l + 17 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3438810173 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (126\/(-15))\/(3\/(-1530))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.4855 rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -89972 and -0.5?\nAnswer: 44986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -103, 20, -5.\nAnswer: -103, -5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/4, -3, 0.139453?\nAnswer: 0.139453","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -232*237142.\nAnswer: -55016944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1484 and 1241101.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 1)*(-2*m + 2*m + m)*(-m + 0 + 0).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + -3)*1 - -6. Put w, -6, 4 in descending order.\nAnswer: w, 4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 5*t**3 - 2*t**2 + 2*t - 1. Let l(g) = g**3 + 3*g**2 + 1 - 5*g**3 - 5*g + 3*g**3 + 3*g**2. Let x be l(5). Determine f(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237 = 2*n - 319. Suppose -y = -3*y + n. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3695648.\nAnswer: 2, 11, 10499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 2158?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-8))\/(39\/(-24))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-34)\/4)\/(((-25)\/(-5))\/(-30)). Calculate the remainder when (u\/(-12) + -2)*-16 is divided by 131\/4 + 30\/24.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 356 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 8*f**2 + 6*f + 5. Is a(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -404 = -19*x - 442. Let p(d) = -122*d - 244. Let o be p(x). Let a = 25 + -77\/3. Is a not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -1 - (30 + -44 - 25)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 837 + -387. Let g = 152 - 102. Calculate the greatest common divisor of g and q.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/973246 and -32\/2935.\nAnswer: 4866230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -4, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 6*d = -1248. Let j be 4\/10 - d\/(-20). What is the greatest common factor of j and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -154438 + 154438.1. Let d be ((-6)\/(-4))\/((-27)\/(-12)). Which is the nearest to r? (a) d (b) 0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**3 - 197*j**2 - 33*j - 6521. Calculate b(99).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, -9, 5, 0.08, -3, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 4*o - 10. What is b(4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 5)*(2*n**4 - 3*n**4 + 2*n**4 + (-1 + 1 + n**3)*(2 - 2 - n) - 3 - n**4 + 3).\nAnswer: -5*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 + -0.3. Let d(r) = -r**2 + 1063*r + 84137. Let t be d(-74). Which is the nearest to -1\/3? (a) n (b) -1\/6 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(75\/(-10))*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/(-70) - 106\/(-7)) + 10. Let q(f) = 4*f**2 - 9*f - 8. Let o be q(7). What is the highest common factor of u and o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 35 or 6095\/167?\nAnswer: 6095\/167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 - 2*k**2 + 0*k**2)*(11 - 1 + 6)*(0 - 1 - 1)*(-5*k - 6*k + 5*k).\nAnswer: -192*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 + -6 - ((-1 - -1) + -5). Suppose o - 19*t = -15*t + 314, l*t = -o + 296. List the prime factors of o.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k + 3*j, -13*k - 28*j + 60 = 4*j + 227 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -u**3\/3 - 13*u**2 + 23*u - 23. List the prime factors of f(-20).\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*f - 4*g - 2, -f - 2*g = 2. Suppose f*a = -a + 9. Calculate the lowest common multiple of a and (-3)\/((-9)\/(-8))*-3.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1573)\/(-286)*(-48)\/(-484) - 468\/11?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -100\/621201?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 757 + 2733*d**3 - 19*d + 0*d**2 + 21*d - 2735*d**3 - 2*d**2 to the form g*d**2 + k + x*d + o*d**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-22) - (-24)\/198*-5163. Let b = -360 - i. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/24 and -113\/237828.\nAnswer: 475656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/44 - 5\/(-165)*-2. Which is the nearest to 5? (a) -1 (b) t (c) -3 (d) -49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2*v = 48, 0 = 3*n - n - v + 12. Let t = 9 + n. Calculate the remainder when (t - (3 + 5))\/(-1) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2639\/12 or 219?\nAnswer: 219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52*v**3 + 2*v**2 + 5*v**2 - 6*v - 6 + 9 - 5*v**2 wrt v.\nAnswer: -312*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 n when two letters picked without replacement from nvlgnnvglglnnvlglog?\nAnswer: 25\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/42*27\/(-18). Which is greater: -2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3587?\nAnswer: 17, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-4)\/1)\/((-4)\/46)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*h - p + 3*p, 5 = -p. Let t = 17 + h. Let w(z) = z + 3. What is w(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(3) + 0 + sqrt(3))**2 + ((sqrt(3)*1 - sqrt(3))*1)**2 + sqrt(3).\nAnswer: -60 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 - 12*q + 36.\nAnswer: (q - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9476?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13448 - -5a?\nAnswer: -133aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 8 = -1. Let y = z - 5. Suppose 120 = 5*g + b, -3*g - b + y*b + 90 = 0. Calculate the remainder when g is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38 - -94. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 13*m - 1 + 15 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/3)*i)**(-37))**44 assuming i is positive.\nAnswer: i**(-3256\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (23 + -8 - 10) - -62.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + s. Let g be u(-1). Suppose 5*n - 4*k + 285 = 0, k + k + 10 = 0. Let t = n - -66. Solve t*f + 20 + 0 = g for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.6 and 0.07.\nAnswer: 0.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 1.9026.\nAnswer: -0.19026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 628\/497 + -27211\/24850. Find the common denominator of -6\/245 and s.\nAnswer: 2450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/155)\/(10\/(-275)). Let y = j - 1\/31. Is -8 greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -64\/3 (c) 17124 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**3 - o**3 - 201*o - 2*o**3.\nAnswer: -3*o**3 - 201*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(10\/12 - 1). Let x(f) = 2*f**2 + 2*f**2 + f**3 + 3*f**3 - 2*f**2 - 1. Let h be x(1). Solve -5*d = -h*o - q, -d = 4*d - o - 14 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 687195?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 110 and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -k**3\/6 - 31*k**2\/2 + 1806*k. What is a(-15)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**3 + 4*l**3 - l**4 + (-7*l - 3*l + 2*l)*(-l**3 - 3*l**3 + 7*l**3).\nAnswer: -25*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-4))\/((-1)\/14)*((-418)\/(-22))\/38.\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111259*r - 111240*r - 57 = 0. Factor 2\/7*u**4 + 2\/7*u**5 - 4\/7*u - 6\/7*u**r + 0 - 10\/7*u**2.\nAnswer: 2*u*(u - 2)*(u + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 811517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 3, 4, 206, -10.\nAnswer: -10, 3, 4, 30, 206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6768535297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/8, -1, -0.4, -97?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 + 22.78. Let c = -24583.26899982 + 24583.489. Let u = q + c. Round u to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2. Let j(b) = 37*b. Determine j(m(k)).\nAnswer: -37*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 17 = 3*d, 2*d + 22*m = 24*m - 14 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9 + 9 + 5*n + (4*n + n - 3*n)*(8 - 3 - 2).\nAnswer: 11*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 26 - 12 - 8 - 5 + 8*z as u*z + c and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 5 - (2 - 6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 0*l**2 - 28*l + 14\/3*l**3 - 3. Differentiate i(r) wrt r.\nAnswer: 28*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (4 - 1) + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.9 * 0.05.\nAnswer: 0.145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 4:58 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 3*v + 618 = 582, 3*p + 84 = 7*v for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 60\/1051 + 69457\/16816. Find the common denominator of u and 73\/562.\nAnswer: 4496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2\/7 + 3*t\/7.\nAnswer: 3*t*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 122270297?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54582 is divided by 3603?\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1398 and 2235734025?\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + 1.8. Let p = -14 - -11. Is t bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72349627 to the power of 1\/3, to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 13*j**2 - 16 - j + 69 - 17 - 24. Let x = -26 - -13. Calculate the remainder when i(x) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 11*z**2 - z + 1. Let j = -1 - -5. Let w = 290 + -285. Suppose w*h = -j*a + 1, 2*a - 1 = h - 4. Give v(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**3\/9 + 2171218*w**2\/9 + 589276707254*w\/9 + 589270193618\/3 = 0. Calculate w.\nAnswer: -542803, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 980 = 10*f - 38*f. Let k(z) = -8*z - 277. Let l be k(f). Solve l*c - c = -8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.09 + 0.01. Let n(v) = -5*v + 12 + 10*v + 0*v. Let m be n(-2). What is the closest to r in -0.1, -2\/9, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4195 = -5*n + v, 0 = -3*v - v + 20. Let q = 1110 - n. Is q a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 289, 302, 317, 334, 353, 374, 397?\n\"Answer: g**2 + 10*g + 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -525*m**3 - 628*m**2 + 520*m**3 + 628*m**2.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/3, -2\/25, 1\/8, -0.5 in descending order.\nAnswer: 1\/8, -2\/25, -0.5, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-385 - -396) + (1 + -2 - 23).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of 4\/3*h**3 + 1\/6*h**4 - 8*h**2 - 1\/15*h**6 + 0*h - 4\/15*h**5 + 0 + 1\/84*h**8 + 4\/105*h**7. Determine u so that b(u) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u - 1 + 1. Let t(f) be the third derivative of 1\/20*f**5 + 0 + 0*f**4 + 0*f + 0*f**3 - 5*f**2. Determine x(t(y)).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 22607, 90428, 203453, 361682, 565115, 813752?\n\"Answer: 22602*x**2 + 15*x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -12\/373 (b) 0.33 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence da when two letters picked without replacement from {y: 1, n: 2, i: 1, d: 1, a: 1, x: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1503327 divided by 3.\nAnswer: 501109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -313 + 2007. Suppose -5*y + s = n, 0 = n + 3*y - 1158 - 542. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -3. Suppose -j*l = -4*l + h + 93, -420 = -5*l - 4*h. Suppose r - 5*r = -l. Calculate the smallest common multiple of r and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/((-3)\/2) - (-5 + 1). Let j(d) = 13*d - 24. Let i be j(n). Suppose -g + 10*g - i = 0. Is g equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.9242 + -1.10336. Let i = 0.18 + s. Round i to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.06 + -1.16. Let n = 1 + f. Which is the nearest to 1? (a) 0.1 (b) 0 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*x**2 - 1075*x - 13640 = 0. Calculate x.\nAnswer: -11, 248\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -536 + 540. Put k, 21, 1 in descending order.\nAnswer: 21, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**4*t**(-2))\/((t*t*t**3*t)\/t*t**(2\/3))*(t**(-1)\/t**4)\/(t*t**1*t)**(-44) assuming t is positive.\nAnswer: t**(349\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -12*(-7)\/(-7)*(-224)\/504\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9653437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u. Let i(o) = -3049*o. Give i(j(m)).\nAnswer: -6098*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4436451*y**6 + 557*y**2 - 18*y - 27.\nAnswer: -532374120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-7) - 18\/(-126)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 3*r - 3949, 2*a - 551 - 1421 = -4*r. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 times 20947288\nAnswer: 12568372.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*43*(0 + 1). Let b = w - 39. Suppose -b*o + 5*o - 75 = 0. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*c - 135 = -1400 + 6179. Calculate the lowest common multiple of -5 - -19 - (-1 - -3) and c.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 291707 (base 12) to base 13.\nAnswer: 1b0937","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*k**2*q - 252298*k**2 - 9*k*q + 5*k - 10*q - 9 wrt k.\nAnswer: -6*q - 504596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -8 + (-25)\/((-225)\/22149) is divided by 611.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 625375, 625369, 625361, 625351, 625339, 625325?\n\"Answer: -y**2 - 3*y + 625379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189498*y + 176851*y - 5 + 4 + 1.\nAnswer: -12647*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -533, -1194, -1859, -2528, -3201, -3878, -4559?\nAnswer: -5244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 14649*u + 733. Is g(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4527\/27*(-369)\/(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*z + 2 = -65*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4376 - -4375.89956. Let u = 0.1 + y. Round u to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/(-4) + 3\/((-8712)\/(-1446)) and 43\/704.\nAnswer: 7744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.2 - 0.6. Let b = l + -0.5999989. Round b to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23184348 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(5\/(-2) - 0). Let m be 2\/c + (-168)\/(-5). Suppose 0*a + 5*a - m = 2*f, 4*f + 8 = 0. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.25275689 to two decimal places.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 299*f**3*z + 104286*f**3 - f**2*z - 1332*f**2 - 7*f*z + 55*z - 2 wrt f?\nAnswer: 1794*z + 625716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 663 and 77306242.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 4*u - 4*y + 26, u + 14 = 4*y. Suppose 4 = u*g - g. Let p be -1*(858\/(-264) - (-2)\/8). Solve p*c - 14 = g*d, -2*d + 8 = c - 5*d for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/4)\/((-15)\/(-105)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13\/5*n**4 + 1\/5*n**5 + 48\/5*n**3 - 32\/5*n**2 - 512\/5*n - 768\/5.\nAnswer: (n - 3)*(n + 4)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = i + 4017, -j + i = 4*j - 10050. Suppose j - 775 = 4*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3135)\/(-20) + 1)*4*1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1362 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*i**3\/4 + 10933*i**2 - 2655261*i - 472392.\nAnswer: -(i - 486)**2*(45*i + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1334 + -23?\nAnswer: 1311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13102725 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: Differentiate -106843*s**2 + 3241 wrt s.\nAnswer: -213686*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -281 divided by -281.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 8:40 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 185*k - 392*k - 959*k in the form m*k + j and give m.\nAnswer: -1166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + sqrt(147) + -3)*-5.\nAnswer: -60 + 105*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3147, 3162, 3195, 3252, 3339, 3462?\n\"Answer: o**3 + 3*o**2 - o + 3144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 4*n + 36, 3*n - 20 = 5*g - n. Let c = g + 8. Solve c = 4*a + 5*s + 37, -4*a + 2 = -8*a + 2*s for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -157178319*i*l**2 - 12*i*l - 6*i + 7*l + 10848 wrt l?\nAnswer: -314356638*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/57? (a) -3 (b) -20 (c) 2\/3 (d) -5 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 265636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**3 - 4*q**3 - q**3)*(-2*q - 4*q + 5*q)*(-1 + 6 - 7)*(1 - 1 + 1 + 2 + 0 - 3 - 2 - 2 + 2 + (-4 + 2 + 3)*(5 - 2 - 5) + 2 + 4 - 5 + 5 - 3 - 1).\nAnswer: 8*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3118855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/1157 and -62\/36290907.\nAnswer: 471781791","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2341008444 to the nearest integer?\nAnswer: 1328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((-1)\/(-10)*2). Let g = i + -4. Which is the closest to -1? (a) g (b) -0.1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33002928 a multiple of 522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*(y\/(y**(-17)*y))\/y*y)\/y**(2\/35))**(2\/121))**(-1\/11) assuming y is positive.\nAnswer: y**(-1256\/46585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + z + 2*z)*(2*z - 5*z + 2*z) + 4*z**2 - 3*z**2 - 3*z**2 + 2*z**2 + 0*z**2 - z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19594.0028489 - -19594. What is a rounded to 5 dps?\nAnswer: -0.00285","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, t: 1}. Give prob of sequence tq.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 8258, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -2*n - s, 10*s - 5*s - 76 = -3*n. Suppose -4*q + 9*q = -b + 31, 4*q - b - n = 0. Differentiate 5*z + 2 - q*z + 2*z + 5*z wrt z.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 289 + -286. Let f(s) = s + 8. Let w be f(-6). Let j(h) = h**4 - 4*h**3 + h**2. Let q(p) = 4*p**3. Let c(o) = l*q(o) + w*j(o). What is t in c(t) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 9*h + 80. Let s be v(-8). Let b(x) = 10*x - 71. Calculate the remainder when b(s) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 0)*2*-1. What is the least common multiple of 4\/(1 - j\/4) and 7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 g when two letters picked without replacement from gigggamaaaagiia?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -15407 rounded to the nearest one hundred?\nAnswer: -15400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - 27. Suppose -o*v = n - 47, 5*n - n = -4*v + 52. Do 19 and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 6882*z + 27568. Determine k(-4).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7.891355g?\nAnswer: 7891.355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -125*y**3 - 9010*y**2 - 18220*y - 1400 = 0.\nAnswer: -70, -2, -2\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21367248 divided by -63593.\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4*u - 117. Let m(r) = 3*r - 78. Determine 7*m(j) - 5*z(j).\nAnswer: j + 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**4 - 4140*q**3 - 856980*q**2.\nAnswer: -5*q**2*(q + 414)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l + 4. Let o = 98 + -90. Calculate q(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 3:56 PM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55049444?\nAnswer: 2, 101, 136261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1*-2.81\nAnswer: -2.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 2*y + 2 - 0, -4*y + 2*t = -4. Solve y*p = -29 + 17 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -7*t**2. Let x(y) be the first derivative of 252*y**2 - 1230. What is c(x(a))?\nAnswer: -1778112*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -55868*y + 51648*y + 18 - 90671*y. Let m be v(-2). What is m rounded to the nearest 10000?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ufu when three letters picked without replacement from ffuuuffuuuuf?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20.2 - 20.2000123. Round z to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of c**5\/15 + 227*c**4\/6 + 3080*c**3\/3 + 11*c**2 + 388*c. Factor r(g).\nAnswer: 4*(g + 7)*(g + 220)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 (base 9) in base 10?\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4*m + 3. Let j(t) = 5*t + 3. Let z be 5\/(-10) - (-2)\/(-4). Let b be ((-7)\/2)\/(z\/(-2)). What is b*a(k) + 6*j(k)?\nAnswer: 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 1 = 2*b, 27 = b + 23 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 times -0.0267?\nAnswer: -1.8423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12105 + -242021\/20. Calculate the common denominator of 85\/8 and n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1067*0.5\nAnswer: 533.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - n + 6. Let g = -16 + 16. Let p be f(g). What is the greatest common factor of p and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 3. Let m = y + -2. What is the closest to -1 in -0.1, m, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 21*b + 1219. Let a be x(-46). Calculate the highest common factor of a and 621.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d - 5*d + 2*d + 3*d - d + 0*d + (-2 + 2 - 2)*(2 - 2 - d) + (0*d + 4*d - d)*(-3 - 3 + 3) + 2*d + 0*d + 4*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -3*o**3\/5 + 30*o**2 + 4752*o\/5 = 0.\nAnswer: -22, 0, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 2, 6, -942, 4, -8 in increasing order.\nAnswer: -942, -8, -6, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + y)*(2 + 1 - 2)*(14 + 10 - 16).\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 101984652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-657)\/150 + (-207)\/161*7?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1165696, 1, 4 in descending order.\nAnswer: 4, 1, -4, -1165696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1103 + 1992. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*z - 5*k, -3*z + 10*k - 5*k + 7 = 0. Is -1 + 119 - (4 + z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8582 divided by -4211?\nAnswer: 8582\/4211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-4))\/(3\/(-120)*-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27359019?\nAnswer: 3, 31, 32687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*f + 3876103 + 4338552 = 39*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252460602 divided by -5827?\nAnswer: -43326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245 = 2*h - 5*a, h - 3*a - 38 = 84. Let b = h + -209. Let o = -40 - b. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 - (9 - 15) - -3. Suppose -2*s + s + 1737 = v*w, -s = 4*w - 1732. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 6 = -9. Let y be (-98)\/20 + (-8 - 1185\/(-150)). Let u be (-3 - y)\/((-1)\/6*g). Solve -4*j + 3*j - u = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -11*m + 42. Let b be o(-14). Let n = b + -190. Let y(i) = -2*i + 6. Give y(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -54. Let h be (-2)\/6 - 16\/(-3). Suppose -3*j - w - 65 = -2*s, -j = -h*s + 277. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173 - 986 + 367 = -52*o + 1496 for o.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = 2*i + 60 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 5*v**3\/3 + 5*v**2\/2 + 3*v + 47. Give r(-3).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 537, 542, 551, 564, 581, 602, 627?\nAnswer: 656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10641431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3163 divided by 82.\nAnswer: 3163\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/3061 and -53\/11?\nAnswer: 33671","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7114 (base 8) in base 9?\nAnswer: -5016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/9)\/((-4)\/30). Let b(w) be the first derivative of -134 + 174 - 11*w**3 + a*w**7 + w**7. What is the third derivative of b(t) wrt t?\nAnswer: 5040*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 118760 to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f - 1. Let b be m(4). Let z = -3 + b. Suppose z*u - 4*u = -4. Solve 2*t - 22 = 3*q, -4*q - u = 2*t + t for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, 0.12, 2, 2\/7?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-2)*11\/66.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -141*t**3 + t**2 + 4*t - 2. Let n(x) = 283*x**3 - 3*x**2 - 9*x + 5. Calculate -5*d(u) - 2*n(u).\nAnswer: 139*u**3 + u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -392892 (base 14) in base 6?\nAnswer: -110051412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -p - 0. Let l be (0 + -2)*p\/(-9). Let o = 67\/36 - l. Put 0.2, o, -4 in increasing order.\nAnswer: -4, 0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 583, 581, 577, 571, 563?\n\"Answer: -s**2 + s + 583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + i**2 + 0*i**2)*(-232*i + 32*i + 113*i).\nAnswer: -87*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p + 17*p**3 + 2*p**4 - 8*p**3 + 9*p**4 - 5*p**4 = 0. What is p?\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -1. Let k(s) = -s**2 + s. Let q(c) = 3*c**2 + 2272*c + 34. Let i(v) = -v**2 - 802*v - 12. Let a(m) = -34*i(m) - 12*q(m). Calculate l*a(n) + 4*k(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -19*u + 1. Let o(c) = -11*c**2 - 2*c - 830. Determine m(o(p)).\nAnswer: 209*p**2 + 38*p + 15771","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 84500, 169187, 253872, 338555, 423236, 507915?\n\"Answer: -b**2 + 84690*b - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 3*d - 21, 0 = -4*k - 44*d + 42*d - 8 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16551, 36, 5, 20 in ascending order.\nAnswer: -16551, 5, 20, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1890075 (base 10) to base 16.\nAnswer: 1cd71b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -386203, -386219, -386235, -386251, -386267, -386283?\nAnswer: -386299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wggtgyy. Give prob of picking 3 w and 1 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-52)\/(-20) + -4)*-5. Let k(h) = -h**3 + 8*h**2 + 5*h + 12. List the prime factors of k(l).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/75 of a hour in seconds?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14350524005 + -1?\nAnswer: 14350524004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiio when four letters picked without replacement from {i: 7, o: 3}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-2))\/(1526\/(-872))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 less than -6791257?\nAnswer: -6791256.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -12*d**2 + 1. Let h be s(-2). Let j = h + 81. What is the units digit of (-4)\/6 - j\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ghg when three letters picked without replacement from {e: 1, g: 2, n: 4, a: 1, k: 1, h: 3}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-84)\/(-35))\/(6\/20). Suppose 12 = -4*f, -c + 0*c - 3*f - 5 = 0. Let l = c - j. Let b(v) = -v + 2. Calculate b(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37002819?\nAnswer: 3, 7, 1762039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.365 take away -0.0082?\nAnswer: 5.3732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.1 and 330.91 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -0.163\nAnswer: -0.0489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - 16032.\nAnswer: -16032.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = o - 1201, -2401 = -i + 5*i - o. Let s = 860 + i. Suppose -2*l - y - 46 = -3*l, 5*l + y - s = 0. Does 8 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-60)\/35)\/((-3)\/(-126)). Suppose -3*w - 30 - 54 = 0. Let c = w - n. Is c a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 2\/15, -282\/4351, -3 in descending order.\nAnswer: 2\/15, -282\/4351, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 + 2)\/(10\/(-2))*4700. Let v = k - 1027. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56339, -113947, -171555, -229163, -286771, -344379?\nAnswer: -401987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -16. Let g be -3*(-3)\/y*1. Suppose q = 6 - g. Solve -5*d = -3*v + 6, -6 = q*d - 5*v + 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1558, -2050, -2542, -3034, -3526?\n\"Answer: -492*u - 1066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -t**4\/12 - 16*t**3\/9 - 29*t**2\/6 - 14*t\/3 + 37. Factor q(a).\nAnswer: -(a + 1)**2*(a + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/4 or -1\/407?\nAnswer: -1\/407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 7, 3.\nAnswer: 3, 7, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1327*d**2 - 81 - 480*d**2 + 81.\nAnswer: 847*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -3. Suppose -u - 4 = 4*v. Let y be 12 + -9 + 8\/(-2). Sort -5, v, y in increasing order.\nAnswer: -5, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a - 6. Let o be q(-11). Suppose -54 = o*b - 449. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 645 divide 442470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -341767*d + 20*d**3 + 341767*d.\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -26680 divided by 232\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23 and 2520\/(-1152)*(0 + (-52)\/(-10)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -730*l - 772 = 2133 + 4395 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**2)\/z*z)**(-12\/5)*(z\/(z*z*(z*z**(-3\/8))\/z))\/z**1 assuming z is positive.\nAnswer: z**(31\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -94, 5, 2, -86, 9 in descending order.\nAnswer: 9, 5, 2, -86, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49 and 2191?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/6 - (-39)\/9. Suppose -2 = p - 4*t, 3*p - 2*t - r + 0 = 0. Find the second derivative of -9*s**2 + 9*s**3 + s + 3*s + 9*s**p wrt s.\nAnswer: 54*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b + 13. Let p = 18 - 31. Calculate the remainder when 75 is divided by h(p).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lx when two letters picked without replacement from ltqjtqtqttlttlxqttt?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44250*d + 9345 = 43983*d for d.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 t when three letters picked without replacement from jrkkrkjzrjrktkkrz?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus -94900.9957?\nAnswer: -94900.7957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and -0.144662.\nAnswer: -0.444662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/11693 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 406 divide 38763662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 16156257 to the power of 1\/2, to the nearest integer?\nAnswer: 4019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/19, -44, 724, 0, -0.5, 1, -12?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 11:24 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -787968 divided by 29184\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -3 + -5 + 1 + -6 + 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -3*b**5\/2 + 315*b**4\/8 - 1479*b**3\/4 + 1434*b**2 - 1872*b + 384 = 0.\nAnswer: 1\/4, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5448 = -4*p, -3*p + 2516 + 1575 = -2*c. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-19))\/(16681\/(-135831)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 5044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 80234690 to the power of 1\/2, to the nearest integer?\nAnswer: 8957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -3, -46, -1 in decreasing order.\nAnswer: -1, -3, -11, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-8))\/((-261)\/(-464))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76320 = -210*a - 82200 for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + -12 - -3 - 0) + -5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 25502.7 to the nearest 1000.\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -17 (b) -1\/4 (c) 2\/3 (d) 2\/11 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in 1\/3, 0.5, -2\/7, 0.4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 145*(-35)\/(-50)*66\/231?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00043879 rounded to 5 dps?\nAnswer: 0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - y**2 + 2*y. Let l(k) = 8*k**3 - 6*k**2 + 102*k. Give 6*d(s) - l(s).\nAnswer: -2*s**3 - 90*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/11)\/(u\/(u*u**(-3\/5))) assuming u is positive.\nAnswer: u**(-23\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -220, -452, -684?\nAnswer: -916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**3 + 0*v**3 - v**3 + (-6*v**2 + 1 - 1)*(v - 2*v + 0*v) + 497 - 497 - 22*v**3.\nAnswer: -14*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66 - 78. Let t = p - -10. Let v be -2 + 21 + (t + -3 - -2). Calculate the highest common factor of 48 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 138*z + 2*z + 1 - 33 wrt z?\nAnswer: 140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 - 131. Let m = y + 69.9961. What is m rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 0\/28 + 4\/((-240)\/310)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of 3*g**8\/28 + 3*g**5\/5 - 139*g**4\/12 - 8*g - 2. Find the third derivative of q(b) wrt b.\nAnswer: 720*b**3 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 34\/289 - (-38)\/(-34). Let x = 6 - -1. Calculate the remainder when (0 - n)*(-2 + 13) is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**1)**(-17\/2)*h**2*h*h**(-1\/6)\/h*h**(-5)*h*h**(3\/5)*h**(-2)\/(h\/(h\/((h*h*h*h**(1\/3)*h*h)\/h))*h) assuming h is positive.\nAnswer: h**(-259\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 196921.5 tonnes in milligrams?\nAnswer: 196921500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kcmkmcmmykkkakymac. What is prob of picking 2 a and 1 y?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence paw when three letters picked without replacement from aaawawaaaaaaep.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.3 - 3.3. Let h = 37 + -37.12. What is the second biggest value in h, u, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 69, 15 in increasing order.\nAnswer: -16, 15, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 27\/5 of a milligram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 2) + (21 - 26)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/10 of a millennium?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of 0*i + 0*i**5 + 0*i**4 + 0 + 4\/15*i**7 - 61*i**2 - 9*i**3 + 0*i**6. What is the first derivative of z(k) wrt k?\nAnswer: 224*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 6:28 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 392\/2*(-21188)\/148316?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 6*w. Let m = -2471\/24 - -103. Let k(d) be the third derivative of 0*d**3 + 2*d**2 - m*d**4 + 0 + 0*d. Determine k(j(p)).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2005147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 5\/(-5)*-13 - 0?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/170 and -8\/17?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 2*b**2 - 4*b - 3. Suppose -22 = 4*f + 2*i, -4*f - 5*i = -2*f + 31. Let u(m) = m**3 - 4*m**2 + 7*m + 5. Give f*u(s) - 5*j(s).\nAnswer: 2*s**3 + 2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 612 and 26694.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(3\/((-441)\/3)). Let a = c - 45. Suppose -m = 2*d - 43, 0*d + 75 = 5*d - a*m. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.55 + -0.61. Let x = a - -0.06. Let o = -44 + 44. Put -0.2, x, o in increasing order.\nAnswer: -0.2, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 763870?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -20. Let b(y) = -3*y**2 + 1. Let f be b(p). Suppose 3*n + 105 = -18*n. Sort f, n, 2 in decreasing order.\nAnswer: 2, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*b**4 - 2*b**5 + 7*b**4 - 6*b**4 + 2*b + 2*b**5 - 2*b + (-b**3 + b**3 + b**3)*(3*b**2 + 3*b**2 - 4*b**2) + 17*b**5 - 36*b**5 - 25*b**5.\nAnswer: -42*b**5 + 7*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z + 3 - 9 + 0*z + 0*z. Suppose -j = -26 + 6. What is the smallest common multiple of h(4) and j?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20174, 20505, 21050, 21809, 22782?\nAnswer: 23969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 206 - 179. What is the remainder when d is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s - 1656 = -1605. Solve s = -k - 2 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -107 - -118. Suppose w + 55 = 4*d, 4*d - d = -4*w + 27. Suppose -5*v + 53 - d = 0. Calculate the least common multiple of i and v.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -23*f**2 + 473*f + 13. What is the remainder when h(20) is divided by 69?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.721 + 0.021. Let i = 4 + p. Sort -0.1, i, 0.5 in descending order.\nAnswer: 0.5, i, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 334*v**2 - 207*v**2 - 415*v**2 as x*v + q*v**2 + d and give q.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 7664*k - 7697*k + 15361*k + 7*k**3.\nAnswer: 7*k**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12116 and 7617935.\nAnswer: 3029","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -3*r, 30 = 2*z + 5*r. Let x = -1 - -1. Let l = z + x. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000602383 rounded to 6 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 965 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n + 17. Let h be y(0). Suppose -4*g - h = 5*x, 2*x - 7 = 6*g - 3*g. Let q be (-10)\/6 - 5\/15. Which is the closest to q? (a) g (b) 2\/13 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 199\/2, -4\/7, -3\/5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 + 8. Let p = y + 16.1. Is -30 at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.4 + -1.9. Let n = -0.1 + -0.3. Let g = n - -0.5. What is the closest to g in -2\/3, -1\/2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19926630*f**3 + 261961359*f?\nAnswer: 119559780*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -109.14 + 6.66688\nAnswer: -102.47312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/53 and -76\/7107.\nAnswer: 376671","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167357 is divided by 41827.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -1950 - 353. What is the lowest common multiple of g and 2?\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 11. Let g = 0.1 + 0. Suppose -1 - 3 = -4*i. Which is the closest to 0.1? (a) u (b) g (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (-3)\/(-5) - -1. Put s, 0.04, -2 in descending order.\nAnswer: 0.04, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004902944 to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1374060 and 1648872?\nAnswer: 8244360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5121 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(392) - (3*2*sqrt(392) - sqrt(392))) + 0)**2 - (((sqrt(392) + 1 - sqrt(392))*-1)**2 + 0)).\nAnswer: -25084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 284979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1a55 (base 13) to base 16\nAnswer: f75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -2210?\nAnswer: 2205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 580\/(-406)*((-248)\/(-496))\/((-1)\/(28\/(-22))).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 194635640\/7 <= 27805091?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -16, 2, 1.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -485, -493, -507, -527, -553, -585?\nAnswer: -623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 135776 (base 9) in base 7?\nAnswer: 464010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -253593 (c) 69\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 594 + 0 - (-8)\/6*3. Let u be -1090 + (1 - 1\/(-1)). Let o = u + a. Round o to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: c (base 15) to base 12\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5650 (base 8) to base 5\nAnswer: 43414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**3 + 49562 - 4*v**3 + 9*v**2 - 49565 - 3*v**3 + 4*v**3 + 0*v**3 + (2*v + v - 5*v)*(0*v**2 - v**2 + 2*v**2).\nAnswer: -4*v**3 + 9*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 12 = -4*g, -5 = 4*y + y. Which is the nearest to 1? (a) 1 (b) -0.4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 14*x**2 - 5131*x + 20373. Give h(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -795532*k*p**3 - 3*k*p - p**3 + 2208*p + 12 wrt p?\nAnswer: -4773192*k*p - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 30 = 3*m. Let w(t) = 6. Let y(b) = -b - 5. Let p(r) = m*y(r) + 5*w(r). Let d(c) be the first derivative of -2*c**3 + 5. Determine d(p(l)).\nAnswer: -216*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 5*q**3 + q**2 - q. Let d be -2 + (-5 - -3 - -5). Let r be k(d). Solve -5*c + 5*y + r = 0, 5*c + y = -y - 30 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 199096821 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*q, -2*n - 64*q + 1381 = -61*q. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/364 - 86\/(-903)\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -72 divided by 9\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 = 2*f + 48468*z - 48476*z, 5*z + 74 = -4*f for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86103, 172208, 258313, 344418?\nAnswer: 430523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29934865 by -29934865.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 10, -4*l - 2*t = -10 - 12. Let s(c) be the first derivative of 3 + 0*c - 9\/4*c**4 + 0*c**2 - l*c**5 + 2*c**3. Suppose s(r) = 0. What is r?\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -75? (a) 0 (b) -3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 9*v - 24. Let p be h(7). Let l = p + -33. Suppose 8 = j + j - 2*g, -5*g = 5*j. Calculate the greatest common factor of l and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 18 = -12 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 231552 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**16)\/v)\/((v**(-15)*v)\/v))\/(v**(-4\/7)*v)**(2\/21) assuming v is positive.\nAnswer: v**(-51\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -148813 divided by -7?\nAnswer: 21259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.89 - 0.89. What is the third biggest value in g, 12\/7, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 123*s**2 + 9*s + 15. Let w be n(-3). What is the highest common factor of 15 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 6:42 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1337381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 478 - 909. Let g = -431.0000049 - d. What is g rounded to seven decimal places?\nAnswer: -0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9962*u**4 + 56072*u**2 - 56072*u**2)*(-3 - 4 + 3)*(-4 + 5 + 0) to the form a*u**4 + j*u**3 + q*u + l*u**2 + p and give a.\nAnswer: 39848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2036818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -17.7\nAnswer: 17.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)\/(sqrt(5)*2))**2 + -5.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(769*j + 61*j**2 - 769*j) + (2*j**2 - j**2 + 0*j**2)*(3 + 0 - 4).\nAnswer: 121*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -k**4\/30 + k**2\/5 + 2*k. Factor j(z).\nAnswer: -2*(z - 1)*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 at least as big as 20\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b**3 - 294*b**3 - 351*b**3 + 193*b**3.\nAnswer: -459*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 280*h. Let v(d) = -7*d. Let z(p) = -6*b(p) - 238*v(p). Let u(t) = -2*t. What is u(z(r))?\nAnswer: 28*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 12:24 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/5 - 536*b\/5 - 35912\/5.\nAnswer: -2*(b + 134)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*x**3 + 0*x + 0*x + (-2*x**2 - x**2 + 4*x**2)*(3*x - 2*x + 0*x))*(1062 + 919 - 526) in the form t*x**2 + j*x**3 + i*x + s and give j.\nAnswer: -2910","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 17, 25?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 5:54 AM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1692483?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(1600)*2)\/(sqrt(45)\/(sqrt(99)\/(sqrt(22)\/sqrt(2)))).\nAnswer: 96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-134)\/((-41540)\/(-186)))\/((-27)\/(-20))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mxq when three letters picked without replacement from {m: 7, q: 6, x: 2}?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + l + 2116 = -r, 2632 = 5*l + 2*r. Let n be -1 + 4 - 14316\/27. Let u = n + l. What is the common denominator of u and 56\/5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -16*a + 4. Let r(y) = -2*y**3 - 14*y**2 - 4. Let p be ((-1)\/(-3) + 4\/6)*-7. Let c be r(p). What are the prime factors of s(c)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d + 19. Suppose 17 = 3*v - 4*z - 14, 0 = 3*v - z - 28. Let n = -17 + v. What is the least common multiple of 6 and l(n)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 124*k - 118*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 21551, 43104, 64657, 86210?\n\"Answer: 21553*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4772 is divided by 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-4 + ((sqrt(275) + -1)*2 - sqrt(275)) - -6*(1 + -1*sqrt(275)))**2.\nAnswer: 6878","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/((-119)\/2) + (-275)\/(-170)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 5*o - 6 = 0, -5*u - 2*o + 28 = -6*o. Solve 3 = -d - 3*x - 5, 0 = 2*d + u*x + 12 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165026?\nAnswer: 2, 109, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -83*z**2 - 117*z - 11. Let g(j) = -42*j**2 - 59*j - 6. Let s(l) = -11*g(l) + 6*r(l). What is the second derivative of s(n) wrt n?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/(-330)*(-905)\/(-362))\/(1\/(-129))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 - 66255 - 177013 - 35210 + 2687*t - 21647 - 237*t.\nAnswer: -5*(t - 245)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -419, -1869, -4355, -7877?\n\"Answer: -518*i**2 + 104*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3c7c8e3 - -5?\nAnswer: -3c7c8de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, r: 7, i: 3, f: 1}. What is prob of sequence iirr?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + -5*sqrt(77) - sqrt(77))*3)\/(-1*sqrt(891)).\nAnswer: 5*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 871*n + 6*n**2 - 291*n - 295*n - 24*n**2 - 285*n.\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.3 + -1.3. Let j = t - 11. Let z = -3.1 - j. Is -2\/15 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6\/5)*x*x**(-1\/3))**(8\/9)\/(x**0*x**2*x**(5\/6)\/x**(-8)) assuming x is positive.\nAnswer: x**(-3053\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.45821 - -128059?\nAnswer: 128053.54179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**5 - 2*a**5 + 2*a**5 + (0*a - 2*a + a)*(5*a**4 - 3*a**4 - 4*a**4) + 2*a**5 + 4*a**4 - 4*a**4 - a**4 + a**4 + 2*a**5 - 292*a**3 + 292*a**3 - 245*a**5.\nAnswer: -240*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-554040)\/9)\/(-9) - -7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -779940, -1559957, -2340000, -3120069, -3900164?\nAnswer: -4680285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**3 - 63*p**2 - 34*p + 54. Let c(m) = -m**3 - 23*m**2 + 160*m + 592. Let n be c(-28). Give b(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5984 + -2164. Suppose -250 = -5*x - g. Let v = x - -1127. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 3\/460 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3592, 3582, 3572, 3562, 3552, 3542?\nAnswer: 3532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a century in decades?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 291 and 549311?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v + 5*y - 125 + 102, -5*v + 4*y = -2*y + 36 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 690.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**2. Let d(q) = q - 3. Let i(y) = 5*y - 5. Let n be (-3 + (15 - 9))*-1. Let g(r) = n*i(r) + 5*d(r). Calculate g(o(z)).\nAnswer: -20*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001166 rounded to six dps?\nAnswer: 0.000117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21676997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1060014 and -0.3.\nAnswer: 1060013.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2302 + 0.4302. Let k = 1 + -1.5. What is the closest to -5 in v, -3, k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4827.81 - 0.3?\nAnswer: -4828.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**5\/2 + 9*k**4 - 21*k**3\/2 - 90*k**2 = 0. Calculate k.\nAnswer: -5, -4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 20 = -2*t, 2 + 31 = 5*t + 4*n for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 5*u = -28, -6*u + u + 10 = -0*q - 5*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 873*v - 520*v - 1171*v to the form f*v + l and give f.\nAnswer: -818","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 + 60 + -13 + -199.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (14\/10)\/(9\/(-252180)*-12).\nAnswer: 7, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3081 and 39?\nAnswer: 3081","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(6\/5)*u)\/(u\/(u*u*u*u\/u**14*u*u)*u))**(-6) assuming u is positive.\nAnswer: u**(204\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -5*h. Let q(f) be the first derivative of h*f - 3 + 3\/4*f**4 + 0*f**2 + 2\/3*f**3. Find the third derivative of q(g) wrt g.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16737b - 31?\nAnswer: -1673ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -111, 200, 1039, 2670, 5357?\n\"Answer: 44*t**3 + 3*t - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of -149*a**4\/3 - 451*a**3\/3 - 8*a**2 + 9*a. What is the first derivative of o(r) wrt r?\nAnswer: -1192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 0. Let t = -0.1 + -2.9. What is the third biggest value in -1\/4, m, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - -42. Is 4 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 487388221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -2, -33 in ascending order.\nAnswer: -33, -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 223*g = 228*g - 16, -4*g + 20 = 2*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5259*w - 98*w - 77754 = 24029 for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*y + 3*y - 25*y - 28*y**2.\nAnswer: -28*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(3) - sqrt(147)) + 5 - sqrt(6)\/(sqrt(2) - sqrt(2)*-5 - sqrt(2))))**2.\nAnswer: -372*sqrt(3)\/5 + 3783\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 0*l + l)*(-12*l - 68*l - 53*l + 21*l).\nAnswer: -112*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.26, -2, -1 in decreasing order.\nAnswer: -0.26, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27368?\nAnswer: 2, 11, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -347, -348, -349, -350?\nAnswer: -351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2205 + -2207. Which is the second biggest value? (a) 4 (b) 2\/47 (c) -0.5 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 2\/9*z**3 - 82\/9*z + 10\/9*z**2 = 0.\nAnswer: -9, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10\/31? (a) -828.8 (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 269163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -9 - 3 - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18180?\nAnswer: 2, 3, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -396 + 401. What is the fourth smallest value in -1\/2, 2, l, -0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -23. Suppose 2*l - 3*r + r = 10, 5*l - 3*r = 17. Which is the biggest value? (a) l (b) g (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 998320 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 5:47 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 688 a factor of 260597888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*p**4 - 26178*p**3 - 24*p**2 - 967*p - 11375?\nAnswer: -204*p**2 - 157068*p - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5978 and 3569.\nAnswer: -2409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 115 + -115. Suppose 5*r - 8*r = k. Which is the nearest to 1\/95? (a) -0.4 (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 3*v - 18 = -4*h, 5*v = 2*h - 8. Which is bigger: h or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -1450*j + 316. Let i be w(7). Which is smaller: -9833 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17032 or -17039?\nAnswer: -17039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 7 + 8. Let m = 7 + d. Suppose -10 = -6*p + m*p. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -1 - -6) + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27355 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2 = 5*g, -2*r - 2 = 3*g. Let m = r + -2. Round m to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-21)*(-119)\/748?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + x + 85 = h, -2*x - 10 = 0. Let i(j) = 6*j + 18. Let t be i(-5). Let c = t + h. Solve -4*p = -2*p - c for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7598181659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (-762)\/54 - ((-3200)\/144)\/20.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.903 to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -160, -265, -360, -439, -496, -525, -520, -475?\nAnswer: -384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*o + 5*r, -4*r = 2*o + o - 10. Suppose 3*d = -o*d + 2709. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/11 + 16*d**2\/11 - 9*d + 126\/11.\nAnswer: (d - 3)*(d - 2)*(d + 21)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -0.723.\nAnswer: -9.723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198*y - 780 - 1740 = -82*y. Solve -4*j = -2*i + 14, -y*j + 4 = 2*i - 11*j for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 467774579?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c**3\/3 - 1672*c**2\/3 + 59723*c - 59166 = 0. What is c?\nAnswer: 1, 114, 1557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.529 - 0.08.\nAnswer: 0.449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37 and 592.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1863.65428 rounded to the nearest integer?\nAnswer: 1864","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.08 - -0.12. Let b = 2510\/11 + -228. What is the second smallest value in -2\/27, f, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -5\/7*w**2 - 2\/7*w**3 - 4\/7*w + 3. Determine i so that d(i) = 0.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hqq when three letters picked without replacement from gqhqhqoqq.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8 (b) -1 (c) -1\/6 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -468, -914, -1354, -1788?\nAnswer: -2216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 15*h**2 - 11*h - 31. What is m(16)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (18\/(-4))\/((-6)\/(-8)). Let y be -1*-1*759998\/(-2). Let u be h\/(-2) - (y - -2). What is u rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/5 + 1443*l\/5 + 1444\/5.\nAnswer: -(l - 1444)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30 - -35) + -21 - (-2658)\/165?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 800700877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*h**4*n**2 + 3092*h**2*n**3 + 12*h*n - 717*h + 2*n**3 + 2 wrt h.\nAnswer: 180*h**2*n**2 + 6184*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1031900073 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 - -48. Let i(o) = -164*o**3 + o**2 - o - 1. What is the units digit of i(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26\/263 + -17713\/11572. Let r = -3\/44 + z. Which is the nearest to 2? (a) r (b) 0.3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47138 and 11284?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 571393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*u**2 - 2*u**2 - 13 - 55*u + 54*u + u**5 wrt u?\nAnswer: 20*u**3 - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -8. Suppose -b*p = 3*t - 4*t + 50, 0 = -4*t - p + 116. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28415 is divided by 6966?\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, 191, 564, 1087?\nAnswer: 1760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + 9 + -2 - -7.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x + 81044 - 21875 = 42*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -5*d - 3*n, -5*d - 4*n + 65 - 2 = 0. Suppose -d = 2*m - 7*m. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 98179 to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d**3 - d**3 + 101 - 3*d**3 - d**3 + 9*d**3.\nAnswer: -2*d**3 + 101","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2*o - 2)*(3*o - 3*o + 2*o) + 2*o - 2*o**2 + 2 - 2)*(-118 - 135 + 15).\nAnswer: 1428*o**2 - 476*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**3 + 10*m**2 - 13*m - 6. Let n be q(5). Let y = n - -132. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41253 + 41286.986. Let u = -119 + 153. Let l = u - c. Round l to three dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.09300384 + 0.093. Round k to seven dps.\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-5))\/((-23)\/((-230)\/9))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -159 - -163. Suppose -28 = 5*q - m*v, 5*q + v + 2*v = -14. Which is the second smallest value? (a) 1\/4 (b) 8 (c) 0 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, c: 1, z: 3, g: 5, w: 6}. What is prob of picking 1 c and 1 n?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*g - 9 = 2*i, -5*i + 5*g - 15 = 0. Solve -4*c + 3*c - 1 = -2*a, i = 5*c - 3*a + 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 p when two letters picked without replacement from {p: 2, c: 1, v: 11, w: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 47 + f - 47. Let u(b) = -b**2 + 4*b. Let s(a) = -3*a. Let m(i) = 4*s(i) + 3*u(i). What is m(j(l))?\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(4 + -2)*-1. Suppose d + 0*d = -68. Let u = 133\/2 + d. What is the third biggest value in u, g, -0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/16*-3)\/((-837)\/(-66960)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70\/(-12) + -4 - (-10)\/(-60)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33071904*v**4 + v**3 + 10414715*v**2 wrt v.\nAnswer: -793725696*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60, 58, 56, 54, 52, 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-14)\/(-4) + (34 - 37))*18 is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*g + 10 = 0. Suppose -4*w = -g*w. Solve 0 = -5*c - 3*u - 0*u - 22, w = u + 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 13*a - 12*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.99491 millilitres to litres.\nAnswer: 0.03999491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.14903 to three decimal places.\nAnswer: -0.149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 86*w - 17339. Determine j(202).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 5*b = 135 + 396, 4*b + 540 = 2*k. What is the remainder when k is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*q - 3*q + q)*(-q**3 + 4*q**3 - q**3) - q - 3*q**4 + q)*(-1 + 1 + 2)*(6 + 23 - 1).\nAnswer: -56*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 83168 and 2447936?\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -18*w**3 + w**2 - w. Let z(j) be the first derivative of -j**2\/2 + 6*j - 34. Let l be z(5). Determine r(l).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, w: 3}. Give prob of sequence kwk.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -4*a**3\/21 - 4*a**2 - 28*a + 49. Determine s, given that b(s) = 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -4*b - 13. Let h(u) = u**3 + 10*u**2 - 12*u + 14. Let p be h(b). Solve -3*q = 2*q - p for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 - 27. Let h = 28 - 27. Solve q + h = 2, -r*v = 5*q + 4 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: In base 7, what is -53231 - -5?\nAnswer: -53223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, 1, 10, 3, -20, -59?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 874994 != 875048?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + -24 - (0 + 5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 0.01, 1\/4 in ascending order.\nAnswer: 0.01, 1\/4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 j when two letters picked without replacement from fjrrl.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 646748723 and 6.39.\nAnswer: 646748729.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 44754552 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72694, -72682, -72670?\nAnswer: -72658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 150 and 30543?\nAnswer: 1527150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16985 and 20382?\nAnswer: 101910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and 0.25.\nAnswer: 1.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007563152 to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48037?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 44*m**2 - 11*m + 14. Let w be j(2). Suppose 0 = 66*i - 54*i + w. Let r(s) = s + 22. Give r(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 217.09 - 217.49. What is the nearest to -1\/4 in -45, t, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -4, -1, 0, 2\/23 in decreasing order.\nAnswer: 2\/23, 0, -1, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 9:40 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1397, -1382, -1345, -1274, -1157?\n\"Answer: 2*w**3 - w**2 + 4*w - 1402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000206774 rounded to 5 decimal places?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -8. Let p = -36.8 - -37. Which is the second smallest value? (a) 0.4 (b) p (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -78 + 56. Suppose -60 = -2*u - 4*t, -t + 127 = 4*u - 0*u. Let a = x + u. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2252523, -2252566, -2252607, -2252646?\nAnswer: -2252683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6136613376?\nAnswer: 2, 3, 3995191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 9:10 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 409*r - 23*r + 181*r + 132*r.\nAnswer: 699*r + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008020605 rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*d**3 + 3*d**2 - 6*d - 1 wrt d?\nAnswer: -42*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 - 270 = 36*w + 60 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 293?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -201*m**5\/20 + 113*m**4\/12 - 35*m. What is the third derivative of o(a) wrt a?\nAnswer: -1206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**3 - 6*h**3 + 3*h**3 + (-51*h + 604*h + 463*h + 687*h)*(2*h**2 - h**2 + 2*h**2).\nAnswer: 5108*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 996 + -977. Calculate the highest common divisor of s and 646.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 - 4*r**5 - r**2)*(1 - 4 + 0) - r + 3*r**5 + r.\nAnswer: 15*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 24 = -6. Let w be (-3)\/(-1) - n\/30*-34. Which is bigger: w or -1.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-9)\/3*36\/27.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + k. Let z(c) = c - 4. Let u be z(5). Let y(g) = 7*g**2 + 6*g - 2. Let s(n) = u*y(n) - 4*b(n). Is s(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -100, 1\/3, -1 in ascending order.\nAnswer: -100, -1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - 11*b + 13. Let p(h) = 3*h**2 + 20*h - 22. Calculate -11*f(u) - 6*p(u).\nAnswer: -7*u**2 + u - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11304 by -6.\nAnswer: 1884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*c = -572*c - 16187 - 20921 - 19916 for c.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 111042?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2121003 (base 4) to base 10.\nAnswer: 9795","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*r - 35803 + 78249 - 60401 = 0 for r.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/30375, 0.3, 0.0034 in decreasing order.\nAnswer: 0.3, 0.0034, 1\/30375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 84828132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -68 - -66. Let c(u) = -1. Let h(n) = -21*n**5 - 2*n - 2. Let i(s) = y*c(s) + h(s). What is the second derivative of i(v) wrt v?\nAnswer: -420*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -2*k - 5*j - 48, 5*j + 90 = 5*k. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - -11*127 - (-51 + 48). Suppose -26*d + 36*d = -l. Round d to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7187, -19\/5 in ascending order.\nAnswer: -7187, -19\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1587*s + 1455*s + 52463 = 761*s for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -53, -48, -29, 10, 75?\n\"Answer: s**3 + s**2 - 5*s - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = u - 129, 0 = -0*d - d - 3*u + 23. Suppose 0 = -4*q - 3*r + 320, q - 5*r - 57 = -0*r. Calculate the remainder when q is divided by d.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5032422)\/36*((-2)\/(-36))\/1. Suppose 3*g + 0*g = -4*p - 31086, p + g + 7771 = 0. Let q = p - v. Calculate the common denominator of q and -119\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h - 3. Let o be t(7). Solve 4*c + 25 = 5*u, -2*u + 24 = -o*c + 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -96 - -80. Is h >= -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 5*b**2 - b - 8. Let c(q) = -4*q**2 + q + 7. Suppose 4*g - 16 = -4*u, 3 = 4*g + 2*u - 15. Let o(a) = g*w(a) + 6*c(a). Calculate o(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 2*t + 14 - 28.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -293 + 236 = 3*c for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44885 (base 10) to base 6.\nAnswer: 543445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/16*(-62020)\/9303?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) - -1*sqrt(252)*2) + 3)**2 - -3*(-2*sqrt(700) + sqrt(7))*-3.\nAnswer: 279*sqrt(7) + 2277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**3\/(d\/(d*d**(-4)\/d))*d\/((d\/(d\/(((d\/d**(-11))\/d)\/d))*d)\/d*d)*(d*d**(6\/11)*d*d)\/d assuming d is positive.\nAnswer: d**(-104\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**4 - 3*i**4 + 2*i**4 + (-2*i**2 + 2*i**2 + 2*i**2)*(2*i**2 + 5*i**2 - 4*i**2) + 3*i - 3*i + 2*i**4.\nAnswer: 9*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3970 + 9632. Which is smaller: c or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 216 and 20358?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 a, and 1 l when four letters picked without replacement from {l: 1, a: 1, j: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 161, 324, 483, 638, 789?\nAnswer: 936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 616, 616, 626, 652, 700, 776?\n\"Answer: x**3 - x**2 - 4*x + 620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2621 divided by 960?\nAnswer: -2621\/960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1600 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 269, 118, -33, -184?\nAnswer: -335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of 79*d**4\/12 + d**3\/3 - d**2. What is the remainder when f(1) is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 3*w - 4*q, -3*w + 0*q - 5*q + 11 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 66234 divided by 38?\nAnswer: 1743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.2 - 5. Let h = 0.1 + -0.2. Which is the nearest to 0? (a) y (b) h (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 157+127823460793\nAnswer: 127823460950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65 - 71.2. Let v = m + 4.2. What is the closest to 0.1 in v, 4, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*q - 20 + 16 - 9.\nAnswer: -11*q - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -20. Let g = w - 14. Calculate the least common multiple of 22 and g\/(-9)*1*-9.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -s**3\/2 - 5*s**2\/2 - 2*s - 5. Let n(w) be the first derivative of g(w). Let f = 0 - 4. Determine n(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10, 4, -4\/9?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 10*o**2 - 3227*o + 35362. Determine q(11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -610*p + 608*p = 12 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r**2 - 3*r**2 - r**2 - r**3 + 3*r**2 as i*r**2 + s*r + g*r**3 + c and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 g when two letters picked without replacement from wwlwdlldlolllglwlllw?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8192 = 89*k + 7302 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-44))\/((-2)\/(-8)). Let f = -11 + 6. Which is the third smallest value? (a) o (b) -1\/2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -1735\nAnswer: 694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a**2 - 42*a + 72. What is q(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 616 divided by 44.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2442706 - 2.93?\nAnswer: 2442703.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.189462 millilitres to litres.\nAnswer: 0.002189462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(3\/50) - (160 + -161)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7 (b) -5 (c) 0 (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1360*t + 1360*t + 12*t**2 + (2*t - 4 + 4)*(3*t - 2*t + t) to the form i*t**2 + x + v*t and give i.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 930 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -801648 divided by 3516.\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55231?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 6 = -2*j. Suppose 0 = 8*v + j*v - 2340. Is v a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (39 - 1) + -2 - -5. Let v = d - 31. Calculate the greatest common divisor of v and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*a - 2*a - 4*a)*(-234*a + 138*a - 321*a - 164*a - a + a + 3*a + (-1 + 3 + 0)*(-6*a + a + 3*a)) in the form l*a**2 + b*a + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 5*y + 5. Let q be u(6). Let g = 153 + -149. Suppose -g = 16*t - 12*t, -5*i - 14 = -t. Put i, 24, 1, q in decreasing order.\nAnswer: 24, 1, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 - 0.1. Let v = 25\/2 - 13. What is the biggest value in v, -4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35 and 142993550.\nAnswer: 142993550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 170\/33811?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 17*z - 3*z. Solve -4*x = 4*c + 4, -2*x - z*c = -2*c + 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 6*g**2 - 124*g - 28. Let n be o(21). Suppose 5*x + n*v - 9*v - 395 = 0, 4*x - 325 = -v. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 217*o**2 - 122*o wrt o?\nAnswer: 434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 10*g - 5)*(-191*g + 191*g - 11*g**2).\nAnswer: -110*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**2 + 108*x - 568. Let s be r(47). Calculate the highest common divisor of 960 and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7860\/65 - (-10)\/130. Calculate the highest common factor of g and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 7558243 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -7*o + 2. Let f be d(-2). Let v = f + -10. Let u be ((-1)\/2)\/(v\/(-36)). Solve -b - 1 = -s, u*b + 2 = -2*s - 11 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oaa when three letters picked without replacement from obllaaoollalaba.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100221000200011 (base 3) to base 14.\nAnswer: 9b47dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 25 - 5. Suppose -x = 4*y + 4, -2*r + 40 = y. Solve -4*k + 5 = r for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -t**4\/12 - t**3 + 3*t**2\/2 + 2*t. Let f = -7332 - -7327. Determine d(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -865*g**2 + 3577*g - 156. Find the first derivative of t(r) wrt r.\nAnswer: -1730","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 2*v + 6 = 0, -16*r - 5*v = -13*r + 15 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kuo when three letters picked without replacement from ffkfofkukffo?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 288.6 - 288. Which is smaller: x or -1.7?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17481 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20*(-48)\/(-15) - 8. Solve -9*a = b - 20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x - 24 = 8. Let v(a) = a**3 + 5*a**2 - a - 3. Let w be v(-5). Let h(m) = 2*m**2 + 2*m**2 - 3*m + 2 - 2*m**w. What is h(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -269, -445, -727, -1109, -1585?\n\"Answer: g**3 - 59*g**2 - 6*g - 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 8*j - 3. Let w be ((-16)\/(-12) - j)*-1. Which is the closest to 1? (a) 2\/7 (b) w (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 1 - 1) + -301. Find the common denominator of 0\/2 + l\/56 and -13\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + m = 0, -3*w = -4*w - 5*m + 12. Solve -2*x - w*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178 = -4*x + 3*t, 0 = 22*x - 20*x + t + 84. What is the second smallest value in 3, 0.5, x?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 994471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7150 is divided by 104?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -64 - 70) + (53 - 0)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01134 rounded to four dps?\nAnswer: -0.0113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1162517009.\nAnswer: 71, 2467, 6637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*x - 138*x + 268 = 0. Solve -x*a + 2*w + 2 = 0, -a + 0*w + w = 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mml when three letters picked without replacement from {m: 6, f: 2, l: 2, v: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 - ((16 - -4) + (9 - 88))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/16 - (-7)\/((-28)\/(-78)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 45*r**2 + r + 2. What is the units digit of x(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**3 + 35*m**3 + 20*m**3 - 38*m**3.\nAnswer: 15*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*m + 308 = -262 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9\/281 - 8311\/5058. Calculate the common denominator of -3\/10 and m.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, c: 2}. Give prob of picking 2 x and 2 c.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -262 or -263?\nAnswer: -262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-98)\/(-21) - 6\/9. Let o(r) = 4*r + 5. Give o(v).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 4, 0.4, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 761 = 2*n - g, -n = 3*n + 2*g - 1502. Let m = n + -265. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35341 take away 0?\nAnswer: 35341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 3\/5, -23, 2, 0.143, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 5*q**2 + q. Let r = -9 + 12. Suppose r - 2 = u. Determine h(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 + 2.4. Let t = -273.5 - 69.5. Let r = t + 342.89. Which is the closest to 1? (a) -1\/6 (b) r (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.01 + -0.01. Suppose -5*n - 4 = x + 41, 5*n + 2*x + 50 = 0. Let p = n + 26\/3. What is the nearest to p in -3\/8, m, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -5*c. Let b(f) be the third derivative of 35*f**4\/24 + 7*f**3\/2 + f**2 + 9*f + 58. What is w(b(h))?\nAnswer: -175*h - 105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vxxv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1 (b) 1.49 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 7*x**2 - 7*x + 10. Let o be b(-8). Suppose o*z - 10604093 = -804093. What is z rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from povpaooogvvooovvo. Give prob of sequence poo.\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 158965789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3113060+16.7\nAnswer: -3113043.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5130730 to the power of 1\/2, to the nearest integer?\nAnswer: 2265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 388096*k**3*w**2 + 3*k**2 + 25056*w**2 - 2*w wrt k.\nAnswer: 2328576*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 0 + -5 + (-8 - (-16 - -12)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 4*i - 24, 19 = 2*n + i. Suppose n*b + 6 - 36 = 0. What is the nearest to -4 in 0, b, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -3*n**2 + 6*n + 35. Let i(s) = -3*s + 3 - 3*s + s + 2. What is 4*i(f) - 3*l(f)?\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-58 - -45)) + -26 + 0.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - a**3)*(-2 + 3 - 3) + a**3 + 2*a**3 + 2*a**3.\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2610 * 263.57\nAnswer: -687917.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15485162 or -0.4?\nAnswer: 15485162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 is divided by ((2 - -2) + -2)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 320568 and 135546.\nAnswer: 381155352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 22*r + 91. Let x be s(-11). What is the lowest common multiple of 14 and -10*(84\/x)\/1?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3*f + 27 = v, -39 = 3*v + 4*f. Let j be (-9 - v)\/(-2 - -3). Suppose -4*n + 6*n - 2 = j, -3*n = 5*t - 343. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -13 (b) 4 (c) -156 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**2\/2 - 6*n - 27\/2 = 0.\nAnswer: -9, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/9 - 1\/1. Let r = 6 - 34. Let y = r - -30. What is the second smallest value in y, 0, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 93177 - 59127. Is h a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2. Suppose -30 - 18 = -8*l. Let c(n) = l*n + 6*n + 4*n. What is c(a(v))?\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*k**2*l*o - 10*k**2*o - 3*l*o + 42*l wrt k.\nAnswer: -8*k*l*o - 20*k*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -74*o - 23. Let b(d) = -223*d - 66. Let x(s) = 4*b(s) - 11*m(s). Let h = 1 + -11. Is x(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -40*p**3 + 626*p**2 + p + 200. What is a(16)?\nAnswer: -3368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(66)*-3 + sqrt(66))*-4 - (sqrt(66) + (sqrt(66) - -1*sqrt(66)*1)))\/(((-1*sqrt(60))\/sqrt(5))\/((sqrt(24)*-1)\/sqrt(12))))**2.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 611869?\nAnswer: 23, 37, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 + 8 + (-9 - ((2 - -7) + -33))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 - 16) + -3 + 11. What is the tens digit of (d\/2)\/(12850\/1428 + -9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 9*t + 52*t**3 - 27*t**3 - 24*t**3 + 26*t**2 + 20. Is 14 a factor of y(-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 164, 693, 1594, 2867, 4512?\n\"Answer: 186*w**2 - 29*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/28 in 0.2, 3, -0.37, -5, 340, -1.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 15092*y - 15096*y + 11, -5*y - 5 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 68795 and 0.01?\nAnswer: 687.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 322360*a + 180052*a + 138033*a.\nAnswer: 640445*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (0 + -4 + (5 - 0))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 16 - 10)*(-v - 1 + 1)*(-2 + 0 + 4).\nAnswer: -46*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 2*b - 1. Let x be k(1). Suppose 3*p + 5*v = -22, p = 2*p - 5*v - 6. Let c be p\/(-8) + (-1)\/(-2). Is x at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26143038 a multiple of 178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2010304 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*c - 617 = 29*c + 763 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 + -23. Solve 0 = w - s + 3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 31. Let i = -26.7 - x. Let y = i - 1.29999981. Round y to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 333 + -361. Let z(p) = -2*p - 51. Let d be z(w). Solve -d*a + 0*a = -15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of 0 - 29\/2*k**3 + 0*k**6 + 0*k**4 + 123*k**2 + 0*k + 103\/210*k**7 + 0*k**5. What is the derivative of l(t) wrt t?\nAnswer: 412*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -45 - 5?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 56444 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6.819592mm?\nAnswer: 0.6819592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2284016.11 to the nearest one hundred thousand.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0.4, 8, -7, -5, -1\/81 in decreasing order.\nAnswer: 8, 0.5, 0.4, -1\/81, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -0.057.\nAnswer: -0.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -4*d**3\/3 + 124*d**2 - 1344*d - 331. Factor c(u).\nAnswer: -4*(u - 56)*(u - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001430252047 to six decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j + 53*j**2 + 86*j**2 - 34*j**2 + 6 to a*j + s*j**2 + w and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 76074343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 4:06 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 133034355 + -30?\nAnswer: 133034325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-45 + 45 + 9*g)*(-3*g**3 + 4*g**3 + 0*g**3) - 10*g**4 + 0 + 0 in the form d + x*g**4 + b*g**2 + n*g**3 + u*g and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13900277 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1855, 1853, 1851, 1849, 1847?\n\"Answer: -2*b + 1857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 840 = -2*t, -3*c + 4*t = -8*c + 2105. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -634 less than 1426068393017?\nAnswer: 1426068393651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2347 + -2346.5. Let r = -2 - -5. Which is the third smallest value? (a) r (b) 0 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 - 1237670290\nAnswer: -1237670290.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -441835 or 8?\nAnswer: -441835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6442*s**4*z**3 + 50*s**2*z**3 + 17*s - 146*z**3 - 136 wrt s.\nAnswer: -77304*s**2*z**3 + 100*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b**3 + 4755*b**2 + 7*b. Let c(p) = -2*p**3 + 3170*p**2 + 5*p. Determine 7*c(h) - 5*j(h).\nAnswer: h**3 - 1585*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*x + 46. Let s = x - 7. Let m = 1 - 1. Solve m = -c + s for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) - (sqrt(27) + 1) - sqrt(192)*3.\nAnswer: -26*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 61, -4, 3 in ascending order.\nAnswer: -4, 2, 3, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5098.6608 rounded to the nearest 100?\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -573 (base 12) to base 15\nAnswer: -38c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 6842139\nAnswer: 4\/6842139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69484501?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 992*z - 3946. Let t be a(4). Sort t, 2, -3 in decreasing order.\nAnswer: t, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 588 = -185*f + 234*f for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 7:38 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, b: 6, y: 3, i: 6, a: 2}. What is prob of picking 1 y, 1 i, and 1 a?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 48\/(-120)*(-10)\/18\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 619253708?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 j when two letters picked without replacement from {v: 2, d: 2, j: 2, n: 3, h: 6}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -k**5\/10 - k**3\/6 - 5*k**2. Differentiate q(p) wrt p.\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13881075 divided by 4485?\nAnswer: 3095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3621513 to the power of 1\/2, to the nearest integer?\nAnswer: 1903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-15)*x**(-6)\/x*x*(x**(1\/8)\/x*x)**2)**(-1\/12) assuming x is positive.\nAnswer: x**(79\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -111.53752 rounded to one dp?\nAnswer: -111.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82395144?\nAnswer: 2, 3, 13, 9781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-1224)\/(-7140)*1\/(-6))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 47.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-76))\/((-4)\/16). Which is the fourth smallest value? (a) 5 (b) r (c) -2\/11 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/539, 2\/23, 0.4, 2 in increasing order.\nAnswer: 3\/539, 2\/23, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -157 + 161. Suppose -4*j - b*s = -6*s - 206, 0 = -4*j - 2*s + 194. Is 5 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3e23 + 582?\nAnswer: -3891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111011100 - 1101?\nAnswer: -10111101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -98*t + 1961. Let b be g(20). Let h(q) = 2*q - 15*q**2 - 3*q + 2 - q. Calculate h(b).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/108645 and 11\/1220.\nAnswer: 26509380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -9 - (-7 - -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 20, -m + b + b = -1060. Suppose -w + 5*w = m. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 85\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 5*m - 3. Let b(h) = -8 + h - 9*h - 9*h + 37*h - 6*h. Give 3*b(t) - 8*l(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -27795685 and -27795684 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40269, -40260, -40251?\nAnswer: -40242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of u**6\/180 - u**5\/60 - u**4\/4 + 2*u. Let m(t) be the third derivative of n(t). What are the prime factors of m(5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2393 + 480 = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -4*y + 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, p: 4, w: 3, f: 2}. Give prob of picking 2 f and 1 w.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, x: 1, g: 2, b: 4, e: 4, m: 3}. Give prob of picking 1 b, 1 t, 1 g, and 1 m.\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 6 (b) 10\/9 (c) -3 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -43*s + 3284. What is b(77)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288818 is divided by 2699.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12901849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7284?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 + 9. Let v = b - -24. Suppose -3*p - 192 = -3*a, 4*a + v*p - 2 = 289. Calculate the highest common divisor of a and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1081 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 16*r + 134. Let i be w(-8). Suppose i*g = 1559 + 505. What are the prime factors of g?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1719\/8404*(-22)\/(-12)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.095 and -0.5622777.\nAnswer: -0.0534163815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -z**6\/120 + z**5\/20 - z**4\/12 + 29*z. Factor u(i).\nAnswer: -i**2*(i - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (840\/3080 - 40\/66)\/(2\/426).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + w - 3. Let k(n) = n - 2. Let c be k(3). Let j(a) = a**2 + a. Give c*z(t) - j(t).\nAnswer: -2*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 47605345 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 6:13 AM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**3 + n + 1. Let w = 1 + -2. Let a be g(w). Suppose 8 = -45*t + 47*t. Sort t, 5, a, 2\/11 in increasing order.\nAnswer: a, 2\/11, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4280 - 4354.36. Let m = -73 - b. What is m rounded to one dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129 - 225 + 279 + 2*v.\nAnswer: 2*v - 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*c**2 + 55*c - 30*c - 25*c + 59*c**2.\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -2 + -5 - (-1 + 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xtswxs. What is prob of picking 1 x and 1 w?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -z**4\/4 - 3*z**3\/2 - 3*z**2 - 7*z + 5. Let x(n) be the first derivative of t(n). Let x(j) = 0. Calculate j.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*d = 5*o - 45, -3*o - d = -20. Solve -4*i - 5*k = 2, -7*i + o*k + 18 = -3*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**2. Let i(t) = -2205*t. What is r(i(n))?\nAnswer: -9724050*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10830 and 510?\nAnswer: 184110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - a**2 + 3*a. Let y be v(2). Suppose 4*o - y*o + 11760 = 0. Suppose 9*l = -l + o. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10367\/3 - -3491. Let y = r + -34. What is the common denominator of y and -37\/45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -275*p + 4*j + 68 = -270*p, 3*p = -4*j + 28. Solve 4*m = -p, u + 0*m - 3*m - 4 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/108)\/((-69)\/(-920)*-4)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 6*s + 7. Let f be q(6). Let k = f + -6. Let c = -2 + -1. Put -2, c, k in ascending order.\nAnswer: c, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.23 + 0.2. What is the nearest to -1 in -5, -3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of 5*h**7\/126 - 58*h**6\/3 + 10207*h**5\/4 - 149645*h**4\/18 - 28*h + 43. Factor t(g).\nAnswer: 5*g**2*(g - 173)**2*(g - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.691885 rounded to two decimal places?\nAnswer: 19.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 419087000 rounded to the nearest one million?\nAnswer: 419000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a - 2. Let o be r(2). Suppose 0*z = -z + 6. Does 6 divide (z\/o)\/((-3)\/30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*u + u**2 - 2*u**3 + 18*u**2 + 42*u to the form d*u + y*u**2 + f + z*u**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 10*k - 19. Suppose k*j - 258 = -3*q, 0 = -2*j - 3*q + 168 + 6. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*d + 5*d - 17*d - 2*d.\nAnswer: -33*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6740 + 88219. List the prime factors of w.\nAnswer: 59, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from trtwtwtwwwtr. Give prob of picking 1 r and 3 w.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19091 - 7600 = 651*a for a.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 4*v + 24 = 0, -7*a + 2*v - 5*v - 2691 = -2759 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/3 - 98\/3. Let p = 51 + a. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.5, -49, 15, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 4*u + 3. Let w be p(-3). Let z be w\/(-3) + 0 - -1. Solve -j - z = -0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 3 - 2 + 4 - 3 + 3 - 4 + 0 + (1 + 4 - 3)*(2 + 0 - 3) + 0 - 1 - 1 - 3 - 1 + 2 + 2 - 1 + 0 - 1 + 3 + 0)*(z**4 - z**4 - 6*z**5).\nAnswer: 24*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2471925 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 693, 692, 691, 690?\n\"Answer: -a + 694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22138 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of 37*d**8\/336 + 31*d**5\/60 + 6*d**2. What is the third derivative of z(c) wrt c?\nAnswer: 2220*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xiiiixxiiiiiiiiixxx. Give prob of sequence ixxi.\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 3:06 AM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b - 215 = 345. Let y be 2\/(-28)*(-40)\/b. Is y greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.6 and -13?\nAnswer: 20.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 71 and 8591.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10962914 and 59264.\nAnswer: 926","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12c1a (base 13) in base 5?\nAnswer: 2110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 6727 to the nearest 100.\nAnswer: 6700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 58 - 45 - 30 + 4*y. What is k(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*c - 23 = 4*m, 4*m = 2*c - 4. Suppose j = 3*l - 5 + 1, -2*l = -j - 3. Sort j, m, 75 in decreasing order.\nAnswer: 75, j, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 56*d - 58*d - 3*z - 19, z = -2*d - 1 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 471 = -3*w, w + x + 308 = 3*w. Calculate the lowest common multiple of w and 62.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1210 (base 6) to base 2.\nAnswer: -100100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5 = 10. Let h be (9 - 12) + -12*n. Let r = -34 - h. Solve 0 = -3*y + 5*x - 25, r*y + 3*x = y - 14 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 35*c**2 + 11*c - 7. Is i(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/50*5\/69\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 31*o**2 + 482*o + 986. Give k(-42).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2 = 4*y, 3*x - 4*x + 4 = 5*y. Let f be -2 - x\/3 - -1. What is the units digit of 2 + -1 - (0 - f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -7*s**2 + s - 4. Let t(g) = 12*g**2 - g + 6. What is -5*a(z) - 3*t(z)?\nAnswer: -z**2 - 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -4*r - 2*n + 448121, r + 5*n = -448086. Let o = r - 451889. Round o to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -2*k + 163, 16*k - 3*z - 439 = 11*k. Differentiate -101 - 28*q - k + 232 with respect to q.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5294, 5281, 5262, 5237, 5206, 5169, 5126?\n\"Answer: -3*w**2 - 4*w + 5301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2.6 (b) -6\/23 (c) -6 (d) 1 (e) -4 (f) 0.4 (g) -0.5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49490.\nAnswer: 2, 5, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51 + 62. Factor -9*y**2 - 17 + 2*y**3 + c - y**2 + 14*y.\nAnswer: 2*(y - 3)*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 5*h = 8*h - 10*h. Solve f - 5 = 2*x, 5*x - 4*f + 20 - 12 = h for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w. Let f(j) = -j**2 + 4*j**2 + 5*j**2 - 3*j**2. Give o(f(r)).\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31 - 28. Solve 5*j + 20 = -3*q, r*j + 4 + 8 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = -2*z + 48. Let s be -60*(z\/16 - 14\/8). Let y = -1217\/9 + s. Which is the fourth smallest value? (a) -2\/5 (b) y (c) 0.4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*f**2 - 2 + 1 + 0 wrt f?\nAnswer: -4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 36*y**4 - 3*y**3 + 15*y**2 + 3. Let k(w) = 36*w**4 - 4*w**3 + 15*w**2 + 4. Let u(b) = -3*k(b) + 4*v(b). Find the third derivative of u(g) wrt g.\nAnswer: 864*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 143526152 and 168.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 67.1 - 74. Let u = a - -6.899882. What is u rounded to 5 dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w - 10. Give x(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -92 + 92.24. Put z, 4, 0.4 in decreasing order.\nAnswer: 4, 0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/4 - 537*w**2\/2 + 61939*w\/4 - 44031.\nAnswer: -(w - 52)*(w - 3)*(w + 1129)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -0.2 (b) 4 (c) -3.8 (d) 5\/3 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3 (b) 2 (c) 2\/1941 (d) 0.27 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -1. Suppose 0 = l - 4*q + 13 - 45, 4*l = 3*q + 63. What is the lowest common multiple of b and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 17*v**2 + 25*v - 108. What is a(18)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 104099 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 3*n = 9, l + 22345*n - 7 = 22344*n for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23811 - 0.3.\nAnswer: -23811.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 z, and 1 y when three letters picked without replacement from izyozooozzooiozyzoiz?\nAnswer: 28\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*w + 435412 - 432405 = 0 for w.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a gram in milligrams?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 6*o**2 + 4*o + 9. Let v = -48 - -53. Let b be y(v). Solve 0 = -5*m + 3*t + t - 45, b*m + 30 = 2*t for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 9:52 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 31, 219530, -1 in ascending order.\nAnswer: -1, 2, 31, 219530","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10197 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 574 divided by -41.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3465.053ug in nanograms?\nAnswer: 3465053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2038268973.\nAnswer: 3, 13, 29, 607, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 2162177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, d: 5, l: 1, z: 3, g: 1}. Give prob of picking 2 z and 1 v.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -27, -114 in descending order.\nAnswer: 5, -27, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 115515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -430*r. Let l(k) = -2*k - 339. Calculate j(l(p)).\nAnswer: 860*p + 145770","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1400023 (base 5) to base 12\nAnswer: -1434a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26818927 is divided by 68.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227*n + 27872 = -1098*n for n.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2561987221 to the nearest integer?\nAnswer: 1368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xqxp when four letters picked without replacement from {q: 2, f: 2, p: 4, x: 1, b: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 1\/5, 68, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 - -29. Let c = -15 - -21. What is the remainder when u is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 32905.6657\nAnswer: -32901.6657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -x**9\/15120 - x**8\/1260 - x**7\/420 - 23*x**5\/60 + 10*x**2. Let z(j) be the third derivative of a(j). Solve z(w) = 0 for w.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/28)\/((-6519)\/(-34768))?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4058, -16141, -36110, -63827, -99154, -141953, -192086?\nAnswer: -249415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o**2 + o**4 - 4*o**2 + (2*o**2 - o**3 - 2*o**2)*(-22 - 7*o + 22).\nAnswer: 8*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(1\/2))**(22\/5)*v**(-7\/2)\/(v**(-13)*v))**(-20\/13) assuming v is positive.\nAnswer: v**(-214\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -130.21154 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*h = 3*h - 21 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*v + 50 - 3*v + 80 + 126 - 2*v as q*v + d and give d.\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 107*b**4 + 6*b**2 - 6*b + 159. Let z(c) = -c**4 - c**2 + c - 1. Let l(t) = -d(t) - 6*z(t). Differentiate l(s) with respect to s.\nAnswer: -404*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17366.\nAnswer: 2, 19, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (6 - (-30 + 3)) + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, g: 1, v: 1, x: 3}. What is prob of sequence xv?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -35.62027161+7379\nAnswer: 7343.37972839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 divided by -12?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7270109.91s to weeks.\nAnswer: 12.020684375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -3*h**5 + 1068*h**4 + 1098*h**3 - 9672*h**2 + 11793*h - 4284 = 0.\nAnswer: -4, 1, 357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 6:35 PM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/1596 and -93\/2432.\nAnswer: 51072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 391*f + 618. Let p be y(-9). Which is bigger: p or -2900?\nAnswer: -2900","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 85 - 423\/5. Let w be 8\/14 - (-2)\/(-7). Which is the closest to -0.1? (a) -0.4 (b) w (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -10.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -59*p**3*w + 2*p**3*x - p**2*w*x - 3*p*w + p + 2*x wrt p.\nAnswer: -354*p*w + 12*p*x - 2*w*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-5\/8)*g)\/g**(-2\/69)*(g**(4\/13))**(-8))**(-37) assuming g is positive.\nAnswer: g**(546305\/7176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30140 and 8715940?\nAnswer: 2740","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0239708 rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 3. Let s(f) = -6*f + g*f - 3*f. Let v(a) = 4*a**2 - 3. Let t(u) = u**2 - 1. Let r(k) = 3*t(k) - v(k). Give r(s(b)).\nAnswer: -25*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 15*z**2 + 4*z. Let j be w(1). Let p(q) = -q**2 + 22*q + 53. List the prime factors of p(j).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*y = -33*y + 35235. Is ((-4)\/(-16) + y\/4)\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11542 is divided by 1509.\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 425\/(-5)*(-6)\/(-15). Let k = g - -37. Suppose k*n - 161 = 130. Is 11 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -145 - 45. Let s = i - -12. Is s a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17027 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3634 divided by 6236.\nAnswer: -1817\/3118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m**(-10\/3)\/m*m*m)*m*m**(-20)*m*m**15*m**(2\/63)\/m assuming m is positive.\nAnswer: m**(-40\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven quarters of a micrometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 330.56 rounded to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 24*h**5 - 7806147*h**4 + 634741962792*h**3 + 1190162769198*h**2 + 476068425312*h - 79344574923 = 0.\nAnswer: -1, 1\/8, 162629","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 6:01 PM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s + 8 - 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -45279, -45297, -45327, -45369, -45423?\n\"Answer: -6*o**2 - 45273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of z**6\/180 - z**5\/45 - 7*z**4\/3 + 40*z**3 + 9*z**2 - 13. Factor k(m).\nAnswer: 2*(m - 6)**2*(m + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 48 = -5*j + 3, -4*j + 2*z = 10. Let r be 2 + (508\/(-12) - 14\/21). Put r, 3, j, 5 in descending order.\nAnswer: 5, 3, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 525, 540, 565, 600, 645, 700?\n\"Answer: 5*v**2 + 520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1527123988?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -37*b - 134. Let u be z(-4). Solve -u*g + 12*g = -2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 7*q - 10. Suppose 3*h - 2*z = 1 + 1, z - 2 = 0. Suppose -h*b**2 - 2*b**4 + 2*b**3 + 32 - 8*b - 26 + 6*b**3 - q*b**2 = 0. Calculate b.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 3, 2, -4.\nAnswer: -4, -2, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - u - 8967 = 0. Let t = u + -1366. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**2\/3 + 34*q\/9 - 20\/9 = 0. Calculate q.\nAnswer: 2\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/20 - 14\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -860606, -1721214, -2581824, -3442436, -4303050, -5163666?\nAnswer: -6024284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5*0.058\nAnswer: 0.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**3 - 368*m**2 + 389*m + 2566. Determine r(-185).\nAnswer: -949","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7952 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 34 - 22*r + 34 - 68. Calculate l(1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 44136*y + 1324979. What is o(-30)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**2 + 1745*w.\nAnswer: 5*w*(w + 349)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2)*p\/(p*p**3))**(2\/13) assuming p is positive.\nAnswer: p**(-10\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0420182 - 0.109.\nAnswer: -0.0669818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kfsji. What is prob of sequence kf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 5*n + 194. Suppose -32*c - 2*l = -34*c - 82, 4*c = -4*l - 156. Calculate o(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18.9 - -19. Sort -2, -4, b in increasing order.\nAnswer: -4, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 - 24. Suppose s*v + 122 = 4*v. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3 + 8152599*m**2 - 5538735128265*m - 5538743280867.\nAnswer: -3*(m - 1358767)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9155\/3 + 3053. Solve -2*g**4 + j*g**2 - 10\/3*g + 2\/3 - 6*g**5 + 28\/3*g**3 = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3 + 157265*h**2 + 1235591155*h - 16089273785.\nAnswer: 5*(h - 13)*(h + 15733)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddcdcdc. What is prob of picking 1 d and 2 c?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6059 - 7425. What is s rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((sqrt(147) - sqrt(147)*-2) + sqrt(147))**2 + 0 - 4*(sqrt(147)*-1)**2 - ((3*sqrt(147))**2*-2 + 4 + 1*sqrt(147))).\nAnswer: -7*sqrt(3) + 4401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 319579 and 54405.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 6359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -948\nAnswer: 1896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4\/2 + 3821*u**3\/2 - 30696*u**2.\nAnswer: u**2*(u - 16)*(u + 3837)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -801*v**3 + 434*v**3 - v**2 + 362*v**3 - 2*v**2.\nAnswer: -5*v**3 - 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 - w**2 + 5*w**2)*(0 - 2*w + 0) + w**3 - w**3 - w**3 + (-w**2 - 4*w**2 + w**2)*(-3*w - 2*w + 3*w).\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.1 = -4455.68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 368, 12, 7\/4, 1\/4, -5 in descending order.\nAnswer: 368, 12, 7\/4, 1\/4, 0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 h when four letters picked without replacement from achcksasgaakass.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 - -25.31?\nAnswer: 25.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51905 = -1818*j - 817 for j.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 10:40 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -34, -22, 2, 44, 110, 206, 338?\n\"Answer: v**3 + 5*v - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6326353?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 59115 and 687423?\nAnswer: 24059805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 459872684?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 49*m**2 + 15*m - 14. Let k(b) = 3*b**3 - 98*b**2 - 31*b + 33. Determine -2*k(g) - 5*y(g).\nAnswer: -g**3 - 49*g**2 - 13*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 j when four letters picked without replacement from kkgkzzvzkjvjkzzjzz.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s*s*s**3*s))**22*(s\/((s*s**9*s)\/s))\/(s*s**(-5)) assuming s is positive.\nAnswer: s**(-93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -17c?\nAnswer: 17b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-4))\/(-4*5\/80). List the prime factors of ((-75)\/10)\/((p\/20)\/(-1)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-80)\/(-50)*(-30)\/(-4). Let c = 8 - k. Let a = 4 - c. What is the highest common factor of 1 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011455397 to 4 dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 - 3*l**3 - 2*l**2)*(2*l + 3 - 3 - 2*l + 0*l + 3*l + 1 - 2*l - 1 + 3*l - 3*l - l + (2 - 4 + 1)*(-2*l - 3 + 3) - 2*l + 3*l + l).\nAnswer: -12*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 76 + 370. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i + 64 = -6 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*x - 43*x - 44*x - 45*x.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nj when two letters picked without replacement from {z: 2, n: 1, j: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/485 in -139, -0.4, -0.2, 0.3, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -9*y**2 + 2484*y - 9792. Determine l(272).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 97 = 3*x, -16*x + 19*x + 3*c = 81. Let w(f) = f**2 - 4*f - 1. Let i be w(-4). Let a = x - i. Solve 4*z + 11 = 5*v + 8*z, a = v + 3*z - 11 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1184)\/(-333) + 12\/27. Put -30, f, 112 in increasing order.\nAnswer: -30, f, 112","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 138 and 45761214.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 26, 48, 76, 104, 126, 136?\n\"Answer: -w**3 + 9*w**2 + 2*w + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3752)\/392 + 20\/35. Let w(z) = z**2 - 6*z + 9. Let j(c) = 1. Let x(n) = -5*j(n) + w(n). Let y be x(5). What is the second smallest value in 0.2, r, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0 (b) -3\/8 (c) 2 (d) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14669*c**2*y**2 - c**2 - c*y**2 - c*y + 2315*c - 4*y wrt c?\nAnswer: 29338*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -17*o**2 + 19*o + 194. Determine q(-6).\nAnswer: -532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 32*g**2 + 61*g**2 - 112*g**2 + 116*g**2. Let i(p) = 6*p. What is z(i(a))?\nAnswer: 3492*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112861681.\nAnswer: 8681, 13001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220354564.\nAnswer: 2, 55088641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 10950269?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1760 and 1943392?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -0*q. Is q <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.89 + -0.11. Let u = 9 + f. Put u, -1\/3, 3 in descending order.\nAnswer: 3, -1\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25266998 not equal to 25266997?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 3*b)*(2*b - 4*b + 0*b)*(-7 - 11 - 3).\nAnswer: -126*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/65 - -253\/455. Suppose -13 = -3*v + q, 2*q = 4*v - 5 - 9. Suppose -4 = -5*m + v. Which is bigger: o or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j - 8. Suppose 3*c + 24 = 6*c. Let d be w(c). Let y be 2 - ((-1 - 1) + d). Solve y*v - v = 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10044, 9946, 9848, 9750, 9652?\n\"Answer: -98*n + 10142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-54)\/(-42))\/(110\/35 - 3). Is 669 - h\/(27\/6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -2*h + 6*h. Suppose 3*u = -3*j + 18, j + 2*j = -15. Which is greater: u or h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -241073.99998 + 241078. Let j = 4 - y. Round j to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -152 - 56 + 208 + 24*s**2. Let z(d) be the third derivative of 0*d**3 + d**2 + 0*d - 1\/12*d**4 + 0. Determine z(v(t)).\nAnswer: -48*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 6:08 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 10. Let w be (a\/(-2))\/((-3)\/12). Differentiate -7 + 3*j**3 + 0 + w wrt j.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 742312523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 479117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 1:01 PM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 223346 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w = 62 + 162. Calculate the remainder when 23 is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vbhbggvbbg. Give prob of sequence vhv.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49*v**3 - 20930*v**2 + 106668*v - 136728.\nAnswer: (v - 422)*(7*v - 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4 = 0, 8 = -5*t - 3*f + 22. Which is the fourth smallest value? (a) t (b) 0.5 (c) 5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 5*p**2 - p + 4. Calculate the least common multiple of 4 and b(-5).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -5*y**3 - 1. Let w be t(-1). Solve -3*h + 3*g + g = -1, -4*h - w*g + 20 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g + 1. Let s(r) = r. Let i(k) = 4*s(k) - u(k). Let c = 3 - 5. Let p be c\/(-3)*6\/(-4). Determine i(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 8*o + 2. Let s be i(0). Suppose -s*n + 19 = -4*u - 3, -n = 5*u + 10. Which is the nearest to 3\/5? (a) 1 (b) u (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*q + 47 = 21*q - 23. Calculate the lowest common multiple of q and 968.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*l - 51*l + 90*l - 56*l + 225*l + 159*l.\nAnswer: 451*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -158 divided by -490.\nAnswer: 79\/245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 116 + -113. Sort 1, 2, -2, c in decreasing order.\nAnswer: c, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 0*d + 4*y = 20, -5*y = -2*d - 25. Suppose -4*k = b - 5*b - 28, 2*b + 5*k = d. Sort 2, -3, b.\nAnswer: b, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 9*c - 6*c + c - 8. Let q be a(5). Suppose 14*y - 17*y = -q. Solve -5*h - y*p = 14, p + 0 = -1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/3*((-15)\/6)\/5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 - 523 = -5*g. Let x be (-4)\/22 + (11065\/55 - -13). Suppose 20*p + x = 854. Calculate the highest common divisor of p and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5136915 divided by -33.\nAnswer: -1712305\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24*c**4*v**2 - c**4*v - 2*c**3*v**2 + 2*c**2*v - c*v**2 - 13*v**2 wrt c?\nAnswer: -576*c*v**2 - 24*c*v - 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15332 + 2018 = 752*o - 698 for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(6\/7)\/c*c)\/c)**44 assuming c is positive.\nAnswer: c**(-44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*b**3 - 24418*b**2 - 3 + 3 + 24418*b**2.\nAnswer: 22*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -3*d**2 + 111*d + 1541. Calculate r(18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1512035.048 to the nearest 1000.\nAnswer: 1512000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 58987087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.61 + 41?\nAnswer: 8.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1298406 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 75595448 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -3.89002904 and 0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -14*m**2 + 223*m - 590. What is d(6)?\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 divided by -4.\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 32289627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 618 a factor of 190344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -520 by 65.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -q**6\/60 - q**5\/10 - q**4\/6 + 171*q**2\/2 + 23. Let i(w) be the second derivative of v(w). Find f such that i(f) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 379, -20, -86 in decreasing order.\nAnswer: 379, -20, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -406*h = -24289 - 29721 + 9350 for h.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 227, 232, 233, 230, 223, 212, 197?\nAnswer: 178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d - 6. Let l be 18\/4 - 3\/(-6). Let a = l + 1. Is h(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/20 - 1\/(5\/(-72)). Solve z + x = -6*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t**3 + 49*t**2 - 49*t**2.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t - 11*t - 5*t**2 - 13*t = 0. What is t?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/866 and -7\/13403948.\nAnswer: 13403948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -59*r**4 + 1112794*r - 285308767 wrt r?\nAnswer: -236*r**3 + 1112794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -46\/3 in 1.1, 4.7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47*q**4*t + 1018*q**4 + 64*q**3*t + q**3 - 1524*q**2*t + 11489*q**2 wrt q?\nAnswer: 1128*q*t + 24432*q + 384*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 36a8301?\nAnswer: -36a8302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**5\/4 - 97*o**4\/4 - 1637*o**3\/4 - 7439*o**2\/4 + 1407*o\/2 + 9702 = 0.\nAnswer: -77, -12, -7, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2700 and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3207474, -6414949, -9622424, -12829899, -16037374, -19244849?\nAnswer: -22452324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 129739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 + 5. Let x be (k\/35)\/(6\/15). What is the third biggest value in x, -0.2, -0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 4667.91.\nAnswer: -14003.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61, -144, -235, -334, -441?\nAnswer: -556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8387901 is divided by 113?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pspppxmxxqprs. Give prob of sequence srp.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -298, -292, -282, -268, -250?\n\"Answer: 2*h**2 - 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*k = 933, -1140 = -5*h - 4*k - k. What is the greatest common factor of 21 and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**3 + 7*r**2 - 10*r + 0*r - 10*r - 39*r**2.\nAnswer: -2*r**3 - 32*r**2 - 20*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 1 - 33. Suppose 3*n = 5*p - d, 0*p - 40 = -5*p - 5*n. Suppose -i + 18 = -0*i + 3*l, 2*i - p*l = 14. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1010*d = -991*d - 577 + 102 for d.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -2, -165851, 0, 2 in decreasing order.\nAnswer: 5, 2, 0, -2, -4, -165851","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 6, -2*s - 4*p = -4*s + 432. What are the prime factors of s?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -315.\nAnswer: -2\/315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -369 - -8.\nAnswer: -361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 divided by 11?\nAnswer: 25\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0545 - 15.9455. What is the closest to s in -0.2, -1\/6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y - 7. Suppose 4*x + 0*x = -5*a + 31, 5*a - 11 = x. Does 2 divide p(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 + -12. Suppose -l = -12*n + 16*n. Calculate the remainder when 12 is divided by 10*(n\/(-2))\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xfxxxff. Give prob of picking 1 x and 2 f.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 493663914.\nAnswer: 2, 3, 83, 330431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -164, -374, -658, -1010?\nAnswer: -1424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -12799456 greater than -12799456?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2. Let r be a(-1). What is the units digit of (r*(-6)\/4)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (258\/(-8))\/(5\/(-100)). Suppose 5*q = -3*o + 2*o + 150, 5*o + 4*q - p = 0. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*n - 13*n - 12*o = 5*o + 68, -5*n - 83 = -3*o for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b - 1. Let h(n) = 126 - 121 - 5*n + 0*n - 3*n. Calculate 6*f(m) + h(m).\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 824000 and 320?\nAnswer: 824000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k + 10. Let p be u(7). Suppose 0 = -s + p*s + 12. Let d be (-81)\/s + 1\/(-2). What is the highest common factor of d and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8968, 8972, 8976, 8980?\n\"Answer: 4*u + 8964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -995 + 1031 = -6*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of -277*z**4\/24 - 220*z**3\/3 - 268*z**2 + 1. Find the first derivative of o(i) wrt i.\nAnswer: -277","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 490.8423 millilitres?\nAnswer: 0.4908423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -35 (b) 0.1 (c) 1 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k**3 + 4*k**3 - k**3)*(-2 + 2 - 2*k**2 + (-k - k**2 + k)*(-3 + 7 - 3)).\nAnswer: -27*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millisecond in microseconds?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132120 is divided by 339.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 - 2*o**2 + 2*o**2)*(-6*o**3 - o**3 + 8*o**3 - 6).\nAnswer: 2*o**5 - 12*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45128*s**2 + 22148*s**2 + 22220*s**2.\nAnswer: -760*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + f + 695, 1046 = -32*u + 35*u + 2*f. Let i = -90 + u. Does 16 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p + 29 - 23 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -8*c**3 + 38*c**2 + 391*c - 55. Determine l(-5).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 - -19. What is the biggest value in v, 0.03, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.02764 - 0.033743. Round m to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - k = 17, 0 = -10*f + 6*f - k + 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43950062*a**2 - 876*a + 99 wrt a?\nAnswer: 87900124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -988 + 1061. Is 63 greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/4 (b) -2\/7 (c) 4 (d) 0.07 (e) 13\/14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9958 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 8. Let p be (2\/s)\/((-3)\/(-30)). Which is the third biggest value? (a) 0 (b) p (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.05 + -355293174\nAnswer: -355293175.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two ninths of a week?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 7*f - 6. Let l(h) be the third derivative of -h**4\/3 + 7*h**3\/6 - 51*h**2 + 2. Let z(i) = i**3 - 2*i - 2. Let t be z(-2). Determine t*u(p) - 5*l(p).\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20356 is divided by 1850.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 2 + 4. Suppose -2*k = 3*s, -s - f*k + 2 + 2 = 0. Let g = s + 1. Let a(r) = -2*r**3 - 2*r**2 + 1. Give a(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -10. Calculate the remainder when 61 is divided by y\/(-3) - 94\/(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2970079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 - 0.3. Let x = 0.2 + o. Sort x, -2, 3\/4.\nAnswer: -2, x, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 123 - -174. What is the least common multiple of j and 12?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.13114, 1.2, -4, -1.4, 2\/15?\nAnswer: 0.13114","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 570 = g. Let w = -54 + g. Suppose 2*o - 55 = -3*o. What is the remainder when w is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 0.4539.\nAnswer: 0.18156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6, -7, 0, 21, 62, 129, 228, 365?\n\"Answer: a**3 - 2*a**2 - 2*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 19126?\nAnswer: 153008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j - 4*j + 0*j + 2*j - 2*j + j + (0 + 1 + 1)*(2*j + 0 + 0) - 2*j - 2*j + 2*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 642 by -6.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 5*v = 5*a - 1470, 4*v - 304 = -a. Let x = a - 292. What is the second biggest value in x, -8, 11?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 1 = -4*k - 0, a + 26 = -5*k. Let r(l) = -l**3 - 11*l**2 - 1. Let p be r(a). Let t be (-5 - -6)*(p + 2). Is t less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = -17*h + 3*h. Suppose 5*v = 3*v + h. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -7*a**3 - 2*a + 1. Let l(c) = c**3 - c**2 - 2*c + 1. Let z(g) = 38*g**3 - 3*g**2 + 7*g - 2. Let w(p) = -2*l(p) + z(p). Calculate -11*v(f) - 2*w(f).\nAnswer: 5*f**3 + 2*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 1 + -3 - 9. Let y = 51 + x. Let r = y - -7. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-375))\/((-45)\/(-50))?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3854 and 164.\nAnswer: 7708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3240619730 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (-8 - (-10 + 31)) - 147.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f + 8*f - 2700 = 0. What is the greatest common divisor of f and 2850?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -58 + 73. Let r be 62\/s - 30\/225. Sort -2, 2, r, -15.\nAnswer: -15, -2, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/107 in 2, -1.3, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*g**2 - g**2 + 0*g**2 + 3*g)*(57 - 68 - 130).\nAnswer: 1269*g**2 - 423*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/4)\/((-1)\/(-4)). Let l(y) = 0 - 4 + 2 + 7 - y. Let p(t) = -t + 4. Let h(r) = w*p(r) + 2*l(r). What is the first derivative of h(d) wrt d?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3*j = -428, -3*j + 3 = 6. Suppose 6*v - v = m. Find the third derivative of r**6 + 286*r**2 - v*r**6 - 295*r**2 - 15*r**6 wrt r.\nAnswer: -3720*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -5*b - 41. Let f be n(-10). Round f to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23213191763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.093406 times -3\nAnswer: -0.280218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at least 9201?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -11 + (-1 - -4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111000111001001 - 0?\nAnswer: 11111000111001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + 776.\nAnswer: 775.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of f**3\/3 + 2*f**2 + f + 591. Let w(h) = 4*h**2 + 15*h + 5. Determine 9*a(m) - 2*w(m).\nAnswer: m**2 + 6*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 5*t + 18 - 98 = 0, 4*t = -2*f + 40. Let q be (-1545)\/f*(-16)\/6. Suppose 2*p + 66 - q = 0. Calculate the remainder when p is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 229*z = 195*z - 340. Let s(n) = -n**3 - n**2 + 89*n + 3. Calculate s(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 894522 or 894523?\nAnswer: 894522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41757 + -82833. Round m to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ntii when four letters picked without replacement from siiiiiiisiitiniifii.\nAnswer: 91\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l = -23*l + 1032000000. What is l rounded to the nearest 1000000?\nAnswer: 86000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 128, -579, -1758, -3403, -5508, -8067, -11074?\n\"Answer: b**3 - 242*b**2 + 12*b + 357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1243?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1146541764 to the power of 1\/4, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10550 + 19864. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 8*r + 97. Suppose -39 = 13*t + 52. Let i be b(t). Does 42 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.1, 0.5, -2\/3, 4\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/956 and 55\/36.\nAnswer: 8604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 23, -1, -199?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(136)*3*-5 + sqrt(136))\/sqrt(8))**2.\nAnswer: 3332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 279*r**2 - 33 wrt r?\nAnswer: 558*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -61219 (base 14) in base 8?\nAnswer: -710267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1714, 1699, 1666, 1609, 1522, 1399, 1234, 1021?\n\"Answer: -b**3 - 3*b**2 + b + 1717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3806*r - 187 = -3823*r for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 173, -2\/5, 4, -1.3, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 4 = 4*k. Let h = 0 - -4. Solve h*l = 2*i + 24, -2 = -k*i - l - 7 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from ucuuuubhb?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -216 + 306. Calculate the greatest common divisor of 70 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 + 0)*(-u**2 - u**2 - 8*u**2)*(-27 + 193*u - 192*u - 27)*(2 - 5 + 1) to t*u**2 + n + r*u + i*u**3 and give i.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 376.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 34102 (base 5) in base 9?\nAnswer: 3258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 13. Suppose s = -2*h + 68 - 10. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -2326a?\nAnswer: 23271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 y, and 1 v when four letters picked without replacement from syvyspyvvspvvvvvp.\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uumuummmumum. What is prob of picking 3 u?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 119 - 268\/3. Let n = y - 29. Let l(m) = m**2 + 2*m + 2. Let x be l(-2). Which is bigger: n or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/1*20\/(-8). Let f = -29 - z. Let s(j) be the second derivative of -j**4\/12 + j**3 - 2*j. Determine s(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of 2*i**5\/5 - 5*i**4\/2 + 7*i**3 + 48. What is the third derivative of p(b) wrt b?\nAnswer: 48*b - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide (-6)\/(-33) + (90144\/99)\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3543454 is divided by 2212?\nAnswer: 2042","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(3) - (-4 + sqrt(3)))**2 + 1 + sqrt(21)\/(sqrt(7) + sqrt(21)\/sqrt(3))).\nAnswer: sqrt(3)\/2 + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*2\/(-57) - (-97)\/19. Solve m + l*t - 2 - 22 = 0, 2*m = 3*t - 17 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2034 + 5?\nAnswer: -2027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/4 - 38\/8. Let w = p + 6. Suppose 2*b + 22 = 3*d, 3*d + w*b - 8 = 6. What is the remainder when d is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**11*i)\/(i\/(((i\/(i**9\/i)*i)\/i)\/i)))**(2\/35))**(-1\/12) assuming i is positive.\nAnswer: i**(-1\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14971 + 14970. Which is the closest to 0? (a) -10 (b) 4 (c) -1\/2 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 19*r**2. Let b(m) be the first derivative of m**2\/2 + 48*m + 709. Give x(b(p)).\nAnswer: 19*p**2 + 1824*p + 43776","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2059 + 124*u**2 + 2059.\nAnswer: 124*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-207)\/(-1748)*-38*-26?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 n, and 1 o when three letters picked without replacement from oswwnswwss?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.999218 and 2819.\nAnswer: 2819.999218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**(-1)*t)\/t**(-12\/11))\/((t**(-3\/20)*t)\/t**(-2\/17)) assuming t is positive.\nAnswer: t**(7941\/3740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 966.4722t to grams.\nAnswer: 966472200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 31?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 8:52 AM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 12:59 AM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8203 smaller than 8202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 220202 (base 3) to base 14\nAnswer: 35a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 590\/236*(-171)\/(-90)?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -33*n - 452. Let y be p(-16). What is the highest common divisor of y and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 29*s - 16. Let r be l(-19). Let q be r\/18 + 1 - 6. Find m, given that 0 + q*m**5 + 16\/3*m**2 - 68\/9*m**4 - 8\/9*m - 6*m**3 = 0.\nAnswer: -1, 0, 2\/7, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.633946659 rounded to 4 decimal places?\nAnswer: 21.6339","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39172 and 1176?\nAnswer: 1645224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 4*k - 4*u - 26, 4*k + u - 3 = 0. Differentiate -25 + 4*y + 2*y**3 + 2*y**2 + 0*y**k - 2*y**2 with respect to y.\nAnswer: 6*y**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 3*q - q - 2, 4*q - 30 = -5*h. Suppose w = 2*o - q - 4, 0 = -4*w - 12. Solve 0 = 3*u + 2*u - 25, -o*v + 3*u = 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1008)\/2016*(-14)\/(-5).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4458 divided by -24.\nAnswer: -743\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 plus -10.7?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 21\/(-3)*-289 + (-25 - -26). Suppose 5*k + 2*f = r, -5*k - 2*f - 2*f = -2018. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5869 divide 75969878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1994, -7816, -17514, -31088?\n\"Answer: -1938*y**2 - 8*y - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5 - 13*j**2 + 25*j**5 + 22*j**2 + 4*j**3 + 0 + 4 - 3*j**3 wrt j?\nAnswer: 1500*j**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -617*x**2 + 36*x + 9. Let d(k) = -308*k**2 + 20*k + 5. Let y(l) = -9*d(l) + 5*i(l). Let a(u) = 5*u. Give y(a(j)).\nAnswer: -7825*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.604 and 1.\nAnswer: -1.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 18 = 2. Let o = -4 - -25. Let t = -13 + o. What is the highest common divisor of b and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 352 - 2461\/7. Let j = 82\/3 - 27. Which is the nearest to 2? (a) i (b) j (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7.799 and -1477.\nAnswer: -1484.799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 11:35 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1447 - 1443. Let o = -7 - -10. What is the nearest to -1 in o, -3, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*q = 129*q + 60. Solve -q*x - g = g - 35, -15 = -4*x + g for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40494491 and 201065.\nAnswer: 202472455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**3 - 31*m**2 - 17*m + 21. Calculate d(16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -29, 4, 5, -3, -5, 25 in decreasing order.\nAnswer: 25, 5, 4, 3, -3, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 56361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1262.\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + 4 + -4 - -1) + 14. Suppose -y*h - 3693 = -14097. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 3, 35, -5 in ascending order.\nAnswer: -5, -3, 1, 3, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.7 (b) 4 (c) -0.3 (d) -74.43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (-1685 + 1675 + (-1 - (-1)\/(4\/87)))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 16 = q. Let w(l) = -6*l - 19. Let i be w(q). Let n be i\/((-25)\/(-20)) - 3. Which is greater: 2\/167 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (27\/(-4))\/(-3)*4\/3. Suppose 2*l - 31 = b*f - 9, 5*l - 38 = -f. Let a(p) = p**3 - 9*p**2 + 9*p. Determine a(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -14*x**2 - x + 1. Let v be d(1). Let j be 10*2 - 7\/(v\/4). Suppose j*m - 23*m = 74. Is m > -74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/66)\/(4\/6). Let q = 0.171 - -0.229. Sort q, l, 4.\nAnswer: l, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 461 divided by -9?\nAnswer: -461\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -577*z**3 + 2 - 28*z**2 + 49*z**2 - 30*z**2.\nAnswer: -577*z**3 - 9*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16*p*x**2 - 134347*p + 489330*x**2 wrt x.\nAnswer: 32*p*x + 978660*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.96 + 0.96. What is the nearest to o in 5, -2\/13, 3\/7?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 134.16 - 134.2. Which is smaller: 29 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -67 (b) 1\/4 (c) 1 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35858?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.04 - 0.44. Suppose -18*n + 138 = 5*n. Suppose -4*x + 2*l = n - 0, 0 = l + 5. Which is the second biggest value? (a) -2\/11 (b) 0.2 (c) x (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 363987*m - 363845*m + 8946 for m.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4 = -388. Let y = 141 - f. Suppose -y = b - 4*b. Calculate the remainder when 44 is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11752373.\nAnswer: 43, 273311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269*i + 275*i - 36000 = 0. Calculate the greatest common divisor of 40 and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**2 + l - 1. Let n be p(1). Suppose n*m + 4 = -5. Let y be (m\/(-9)*0)\/(-2). Solve y = -7*r + 3*r - s - 18, r - 4*s + 13 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 296 - -55. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -2*q + 1272, 2*q - 2*h - 1490 = -232. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 358869 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1471116*j - 1471024*j = -6992 for j.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w**2 + 5*w + 2. Let i = 319 + -323. Determine g(i).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*v + 67*v = -58914. Suppose 2*g - 77*a = -74*a + v, 3*g = 2*a + 4922. List the prime factors of g.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5378183989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -97e5 (base 16) to base 7\nAnswer: -221240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 5:32 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -25027 times 3\nAnswer: -75081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -1261145*n**2 - 2005*n + 1203. Let o(w) = 18823*w**2 + 30*w - 18. Determine -6*b(t) - 401*o(t).\nAnswer: 18847*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 634 - 640. Put x, 27, -5 in descending order.\nAnswer: 27, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 468517034 to the nearest integer?\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p - 97 + 97)*(3723 - 54*p - 3723)*(-1 + 6 - 3)*(0*p**3 + 0*p**3 - 2*p**3).\nAnswer: -648*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = -31*i + 25*i. Let h be 68\/(-51)*6\/(-2). Suppose -2*a + 24 = h*q, -i = -a + q + q. Calculate the least common multiple of 22 and a.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i + 2*i - 3*i + (188*i + 6 + 190*i - 376*i)*(-1 + 3 - 13).\nAnswer: -24*i - 66","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 3249*b**4 - 601122*b**3 - 11300*b**2 + 4019650*b + 4009875 = 0.\nAnswer: -85\/57, 3, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 31, 27, 23, 19, 15?\n\"Answer: -4*h + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 0 - 4)*-1. Calculate the highest common divisor of d and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 b when three letters picked without replacement from {t: 7, b: 4, f: 3}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1476088 - (2\/(-4)*-2 - (-148)\/(-74)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 11*p - 4. Let r = 16 + -12. Let d be x(r). Let z = d + -14. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n - 210 = 5*n. Let b be (6\/12*-16)\/((-2)\/n). Suppose -b = -2*k + 22. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnmmmnnmnb. What is prob of picking 2 n and 2 m?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 81 = 4*f - z, -5*f = -z - 192. What is the derivative of t - 32*t**3 - 25*t**3 + 62 + 60*t**3 + f wrt t?\nAnswer: 9*t**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - t + 7. Let p be z(0). Suppose 3*k = p*k. Suppose 4*y + j + 3*j - 496 = k, j - 600 = -5*y. Calculate the greatest common divisor of y and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1167403632 a multiple of 3274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 12*n**2 + n + 24. Let g(x) = -2*x. Give q(g(z)).\nAnswer: 48*z**2 - 2*z + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**2 + 0*p**3 + 0*p + 4*p**2 - 5*p**3 - 2*p to q*p**3 + f*p**2 + z + b*p and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 3*a**2 - 2*a - 4. Let d be o(-3). Let t = -226 + 231. Factor -7*p**3 + p**4 + d*p**4 + 6*p - 8*p**2 + t*p**2 - 2*p**3 + 3*p**5.\nAnswer: 3*p*(p - 1)**2*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1463.298 + -17.5.\nAnswer: 1445.798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -1180031 and -1180031 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v**2 - 4*v**2 + 4*v**2)*(-20*v**2 - 4*v**2 - 21*v**2) in the form r*v**3 + b*v + s*v**4 + z + d*v**2 and give s.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 108099923?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -47*k**4\/12 - k**3\/3 + k**2 + 23*k + 9. Give y(1).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.13069 - 9.13069. Put -2, 1.3, -4\/5, -0.2, c in increasing order.\nAnswer: c, -2, -4\/5, -0.2, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) 7 (b) 3\/2 (c) 3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 65639 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -343*c = 712*c - 358*c - 16031 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 134 + 137 = 0, 3*o = 3*r + 732. Do r and -248 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - (1 - 2)) + 6208 + -6194?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 79466693 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c + 0*c + 0*c)*(-5 - 65 + 15)*(3*c + c - 3*c)*(3 - 4 - 1 + 9*c) as x*c**3 + y*c**2 + w + p*c and give y.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 14*p + 9. Give z(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30557.\nAnswer: 30557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43 and 5633.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.049 or 0?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 - -29. Let k = -8293.8 + 8299.8. What is the closest to -1\/2 in k, a, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -26, 1, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*d + q + 187 - 160 = 0, -3*q + 7 = -7*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22356 and 1458?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 157*l**2 + 119*l + 5886. Determine c(156).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.2 + 9.2. Let v = -0.5 - r. Let p be (5 + -2)\/(6\/10). Which is the third biggest value? (a) v (b) 3 (c) p (d) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 249 divide 9817323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 63\/28*4\/6\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69 divided by 2.\nAnswer: -69\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44291\/42 - 1055. Which is greater: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-3 - ((-1 - 5) + 5 - 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = i + 10, -4*i - k = -4*k + 92. Let x be (i\/(-7) + 6\/21)*-1. Let t(d) = d**3 + 4*d**2 - 2*d - 2. Calculate t(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*o + 67*o + 4*f - 2 = 0, -4*o - 201*f + 28 = -407*f + 202*f for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 2 - (0 - (7 + -7))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 72860 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**3 - 2*o**2 + 4*o + 2. Let n(g) = -6*g**3 + 7*g**2 - 13*g - 7. Calculate -7*a(y) - 2*n(y).\nAnswer: -2*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -582 + 623. Solve 32*g + 27 = n*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2303 and 1442707?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -425, 1\/4, -16, 5, -30 in decreasing order.\nAnswer: 5, 1\/4, -2\/13, -16, -30, -425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -47*a + 50*a - 4*j + 19, 3*a + 2*j - 5 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, y: 1, v: 4, p: 2, k: 2, w: 4}. What is prob of sequence kyp?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 261, -2, -1, 24509, 22 in ascending order.\nAnswer: -2, -1, 22, 261, 24509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -894 equal to -893?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 443 + -413. What is the lowest common multiple of 102 and j?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 516 and 4?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 14*b**2 - 270*b - 502. Determine t(21).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -130107?\nAnswer: -10\/130107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4cb (base 14) to base 8\nAnswer: 1703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26448.\nAnswer: 2, 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 12*k - 4. Let b(i) = -12*i + 5. Give -3*b(d) - 4*r(d).\nAnswer: -12*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 2*s. Let y be c(0). Suppose 0 = 43*t - y*t - 215. Let u = 0.36 + 0.04. What is the smallest value in u, 3, 1\/2, t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 11:00 AM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -744*c + 3495 = -4450 - 7679 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4031 is divided by 1201?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v + 4792 = 4720 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -55*d + 3*i - 403, 3*d - 4*i + 102 = -2*d + 122 - 284 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (m - 3*m + 3*m)*(0 - 3 + 4 - 1 + 1 - 1 + (-2 - 3 + 3)*(0 + 0 - 1) + (3 - 4 - 1)*(3 - 58 - 12)) in the form p + l*m and give l.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 4*f - 64, -3*t - 6*f + 11*f - 164 = 0. Let x = 46 + t. Let q be ((-20)\/2)\/(x\/(-1040)). Round q to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = q - 2*d - 47, 2*q + d = 76. Let b = q + -39. Suppose 4*u + 12 = 0, b = -x + 2*u + 8 + 43. What is the remainder when 89 is divided by x?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145.963145 rounded to 2 decimal places?\nAnswer: 145.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/32*(-4)\/3.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/((-2173)\/(-5945) + (-2)\/5). Which is bigger: p or 614\/7?\nAnswer: 614\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 64.43 - 54.43. What is the closest to 2.1 in 0.07, u, 0?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 364 - 184. Let x be (-10)\/c*-9 + 58199\/2. Round x to the nearest 1000.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1598 - -1602. What is the nearest to -1 in d, -2\/13, 2, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 39354*d**2. Let k(c) = 2*c**2. Determine u(k(m)).\nAnswer: 157416*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/4 of a day?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 4 = -b. Let w(u) = -u**3 - 10*u**2 + 11*u - 5. Let y be w(-11). Let o = y + b. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 222, 545, 968, 1491, 2114, 2837, 3660?\nAnswer: 4583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000074058451 rounded to six decimal places?\nAnswer: -0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 0 (c) -2\/13 (d) -0.08543\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v - 7. Let n(g) = g**3 + 3*g**2 - 3*g - 4. Let u be n(-3). Let s(r) = 3 - 5*r + 0*r + u*r + r. Give -14*s(q) - 6*x(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.08, 5, 2, -4, 3\/8 in increasing order.\nAnswer: -4, 0.08, 3\/8, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 5428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000045259 to six decimal places.\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15.885*-17.\nAnswer: -270.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -31*g**3 + g**2 - 2*g - 3. What are the prime factors of i(-1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 1206239?\nAnswer: 4824956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, o: 7, e: 2}. What is prob of picking 1 v and 1 e?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 34321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2680\/9 - -11395\/36. Calculate the common denominator of q and 1188\/(-160) + 3\/(-15).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -615, -1197, -1719, -2151, -2463, -2625, -2607?\nAnswer: -2379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 0, 3, 185, 2 in increasing order.\nAnswer: -4, -3, 0, 2, 3, 185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1893364024 to the power of 1\/2, to the nearest integer?\nAnswer: 43513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b + 200dc?\nAnswer: 200d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-435)\/(-7))\/((-24)\/(-42)). Let u = -108 + v. Let w = 14 - 13.9. Which is the third smallest value? (a) w (b) u (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -10 + -3 - (-13 + 1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*r - 87 = 37*r - 39 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**2. Let w(n) = -1540*n. What is w(k(z))?\nAnswer: 3080*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 518340618.\nAnswer: 2, 3, 28796701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooo. What is prob of picking 3 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*o + 18*o. Factor o + 0*c + 1\/4*c**2 - 1\/4*c**3.\nAnswer: -c**2*(c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = w - 1268, -5*w = -1 + 11. Is o equal to 1269?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 36.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p + 10. Let k(r) = -r + 5. Let s be k(-18). Let y = s - 12. Let l be v(y). Which is the second biggest value? (a) -3 (b) l (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2233 = 5*l - 3*l, 3*l = -5*a + 3728. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 - 47*l**2 - 8 + 39.\nAnswer: -47*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 c when three letters picked without replacement from {i: 5, j: 2, c: 13}?\nAnswer: 13\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -95 + 172. Let x = -78.1782 - 0.1218. Let g = b + x. Which is bigger: -1\/2 or g?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 287 divided by -311\nAnswer: -287\/311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 99826 or 99787?\nAnswer: 99826","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from {o: 4, k: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -c**8\/28 - 5*c**4\/3 + 7*c**2\/2 - 28*c. Let k(x) be the first derivative of t(x). Find the second derivative of k(y) wrt y.\nAnswer: -240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -6*l. Let m(w) be the second derivative of w**3\/6 - 12*w + 2. Let x(n) = 8*m(n) + t(n). Let v(z) = -3*z**2 - 3. Calculate x(v(o)).\nAnswer: -6*o**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -2\/5, 13.72.\nAnswer: -2\/5, 13.72, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 79\/90 - 5\/18. Let p = -0.062 - -18.062. Let z = -15 + p. What is the nearest to z in r, 4\/5, 0.1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-10)\/7)\/(-5)*1. Sort 2, o, -146 in descending order.\nAnswer: 2, o, -146","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 299856?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 1501312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 + -30. Let m be 370\/70 - y\/1. What is the closest to m in 0.2, -0.4, 10?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 1 + -8 + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.24 - 0.06. Suppose 0 = 2*n - 2*y - 8314 + 8300, n - 25 = 3*y. Which is the nearest to -1? (a) 2\/5 (b) n (c) -34 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68, 4.8, -1013 in descending order.\nAnswer: 68, 4.8, -1013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*t**4 + t**4 + 3*t**4)*(-12 + 3 + 8) to l*t**3 + p*t**2 + g + i*t**4 + j*t and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -10879\/9 bigger than -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7953 and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o**3 - 10*o**2 - 10*o - 18. Let b be l(-8). Suppose -n + b = n. Let v = n + -302. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -762520 or 2?\nAnswer: -762520","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*y - 62 - 18. Let m = -182 - -192. Solve 5 = 5*g - 2*l, m = 3*l - y for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.1 (b) 0.5 (c) -675 (d) -2 (e) 132\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*12\/42)\/(36\/(-882)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -21.3624\nAnswer: -8.54496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10 - 45 + 34*x**4 + 35 + 6*x**4 + 323*x - x**2 wrt x.\nAnswer: 480*x**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (846*1)\/(12 + -11). Suppose -d = -7*w + w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55524140977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j + 6*j + 14*j**2 + 2*j - 10 + j**3 + 2*j. Suppose -146*z + 19 = -149*z - 4*h, -3*z + 5*h - 64 = 0. What is r(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -198.\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 6 = 2*i, 15 = i + 4*i - 5*m. Let y be i\/(-3)*78\/(-208). What is the closest to -3\/2 in 0, y, 0.8?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -7*y**2 + 12 + 3 + 17*y**2 - 15. Let i(u) = u - 917. What is i(o(v))?\nAnswer: 10*v**2 - 917","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3110?\nAnswer: 2, 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-9 - -8 - (0 + -2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 100?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/2 + 105\/(-14) + 1. Which is the second smallest value? (a) 3\/17 (b) n (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 7*f**2 + 2. Let h be j(7). Suppose -i = 4*c + 4*i + 2, h*i = -5*c - 11. Let d be ((-10)\/c)\/(2\/3). Is d < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 3*i + 2*j + 54, j = -5*i + 105. Calculate the remainder when 53 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 6*s**2 - 2*s. Let p(n) = -n**3 - n + 1. Let u(d) = j(d) - 2*p(d). Calculate the remainder when u(-3) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4*v**2 - 84*v - 87. Determine o(22).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -8779456 divided by -4389728\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 7:56 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(6 + -3 + -3 - 1). Let a(k) = -k**2 - 5*k + 1. Let q(s) = s. Calculate t*a(x) - 5*q(x).\nAnswer: x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**5*g**(-1)*g*g**0*g**(-3\/5)\/g assuming g is positive.\nAnswer: g**(-28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a - 37615 = -14*a + a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1295 + -1295.01687. Round p to three decimal places.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/8)\/(1*4\/(-16)). Solve 5*f - w = -0*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -19*s**2 + s + 1. Let r be f(6). Let k = 2 + 11. Calculate the remainder when r\/(-9) - 20\/90 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (2*(-3)\/8 - (-2738)\/(-888))\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a - 140. Let z(l) = -4*l - 249. Let q(o) = 9*v(o) - 5*z(o). Let y(i) = -6*i + 45. What is -8*q(p) - 3*y(p)?\nAnswer: 2*p - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 8 = -2*d. Let g(r) = r - 9. Let f(b) = -1. Determine d*f(p) - g(p).\nAnswer: -p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b**2 + 3*b + 3. Let v(n) = -n**2 - n - 1. Let f(r) = -h(r) - 3*v(r). Let t(u) be the third derivative of -u**5\/20 + 8*u**2. Calculate t(f(m)).\nAnswer: -3*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 10:47 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 126, 424, 992, 1920, 3298, 5216?\nAnswer: 7764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 7*v**2 + 14*v + 20. Suppose -6*s + 25 = 55. Let g be n(s). Sort 5, 3, -23, g in ascending order.\nAnswer: -23, g, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 822205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 33*r**3 + 3*r**2 + 6*r + 192. Let v(a) = 64*a**3 + 5*a**2 + 11*a + 382. Let n(w) = 5*k(w) - 3*v(w). What is the first derivative of n(h) wrt h?\nAnswer: -81*h**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1007, 1001, 995, 989, 983, 977?\nAnswer: 971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 230515138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7352045 is divided by 407.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 140 and 7805?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32556 is divided by 497.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3*(sqrt(9) - sqrt(1089)*-2)\/(3*sqrt(3)*-4 - sqrt(3)).\nAnswer: -69*sqrt(3)\/13 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 6*g + 3. Let k be o(3). Suppose -k = 4*h - 7*h. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(3 + (sqrt(1539) - sqrt(1539)*-1*4))*-5 + -3)**2.\nAnswer: 162000*sqrt(19) + 24052059","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5651\/143 - -433\/11. Let r = -12 - -9. What is the smallest value in -2\/11, r, c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/18)\/(6\/(-8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -24*x**5\/5 + 7*x**2\/2 + 1. What is the second derivative of p(a) wrt a?\nAnswer: -288*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 0*u + 4*u)*(4 + 1 - 1)*(1 + 0 + 1).\nAnswer: 32*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s - 1. Let y(n) = -n**3 - 6*n**2 - 5*n - 3. Let x = 4 + -9. Let k be y(x). Let c(v) = v - 7*v + 1 + 9*v. Give k*c(p) - 4*w(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2.5907 or -159?\nAnswer: -2.5907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 218639?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003657521 to 5 decimal places.\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 923 and 1704?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1681 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178561152?\nAnswer: 2, 3, 7, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 95 = 98*q - 97*q, 6*q + 5*h + 9 = -0*q - 86 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*r - 25*r = 88. What is the highest common divisor of r and 132?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 36, 1\/2, 2, -37235 in descending order.\nAnswer: 36, 2, 1\/2, -3, -37235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1430.995 - 1431. Put o, 2, -0.5 in decreasing order.\nAnswer: 2, o, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -2\/3*x**4 + 0 + 6*x + 19\/6*x**3 + 0*x**2. Find the second derivative of w(h) wrt h.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of 13*p**5\/4 - 3*p**4\/4 + p**3\/2 + 59*p. Find the third derivative of b(y) wrt y.\nAnswer: 390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 12*x**2 - 13*x + 8. Let i be g(-12). Suppose -4*l + 340 = w, -3*l + l + w + i = 0. What are the prime factors of l?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (3*-1*sqrt(396)*1*-3*6*-2)**2 + 3.\nAnswer: 4618948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -12*d + 38 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f + 28. Let u be r(-14). Suppose 0*n + 13*n - 2483 = u. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 0 + 45714*h.\nAnswer: 45714*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/20*450\/360?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 275514011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76877919?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q + 3*q**4 + 27 + 91*q**2 + 89*q**2 - 179*q**2 + 4*q to k*q**2 + s + b*q + f*q**4 + t*q**3 and give s.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-4\/3)*q**(3\/10)*q)\/(q**(-1\/2))**(-22))\/(q**(-5)*q**5\/q)**(-42) assuming q is positive.\nAnswer: q**(-1591\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -45, -84, -143, -228?\nAnswer: -345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1974 - -7895\/4. Let t = -23 - -19. Let l = t - -3. What is the smallest value in i, -0.09, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 9, z: 7}. What is prob of sequence vvv?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 111, 279, 471, 693, 951, 1251, 1599, 2001?\nAnswer: 2463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(2\/11)\/p)\/p**(-11))\/(p\/(p\/p**2))**(-36))**24 assuming p is positive.\nAnswer: p**(21696\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*o - 1. What are the prime factors of (-1421)\/(-35) - o\/(-15)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b - 8712 = -8673 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 11 + (-3 - -1 - -3). Suppose -3*u - 2*s - 15992 = -u, -l = -3*s. What is u rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/34934 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 109 and 317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-60)\/(-9))\/(-2)*(-180)\/(-150) - -96. Solve t = 8*p + 15*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 21 = y - 4, -3*y + 27 = 3*g. Let r be -3 - (-5)\/((-10)\/g). Let v be r\/(-4) - (-15)\/(-20). Solve v = -0*b + b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l - 178. Let m(z) = 10*z. Give m(o(x)).\nAnswer: 10*x - 1780","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 20153*l - l**4 + 20152*l + 0*l**2 - 2*l**3 - 2*l**2 to the form i*l**4 + k*l**2 + v*l + c + t*l**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 458 - 456. Let o be (-36 + 43)*(-1 + 0\/a). Let g(j) = j**3 + 7*j**2 - j + 5. Give g(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 7350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/60)\/(2\/(-6))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1646 = v - 1649 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + 1*sqrt(432) + (sqrt(12)\/sqrt(2))\/sqrt(2) - sqrt(132)\/(sqrt(11)*2)) + (-3*sqrt(3) + sqrt(3))**2*-5 + 3*sqrt(3)*1 + -4.\nAnswer: -64 + 27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15171890 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-147) + 34\/7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5552)\/(-11451))\/(96\/44)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11770542253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -301 divided by 1437?\nAnswer: -301\/1437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = j - 16, 4*k = -0*j + 5*j - 116. Suppose -20 = -12*d + 4. Solve 2*f = -d*f - j for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-22) - 12894\/(-462))\/4. Let t = -8 + 13. What is the second derivative of -25*l**5 + l + c*l + 32*l**t wrt l?\nAnswer: 140*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**3 - 6*n**2 - 597*n - 3692. Give h(-7).\nAnswer: -493","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/2)\/((-2)\/(-8)). Let x(t) = 1 + 12*t**d + 2 - 3*t + 5*t. Is x(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 261.863 nanograms in micrograms?\nAnswer: 0.261863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -2*y + 10, 2*y + 2*v = -v + 8. Let m = 2 - 7. Let q = 1498 + -7492\/5. What is the second biggest value in y, q, 0.1, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 30*x**3 - 756 + 162 + 40*x**3 - 3*x wrt x?\nAnswer: 210*x**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + v - 6. Give q(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1680 and 78130.\nAnswer: 13125840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34034\/85 + (-9)\/(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -u + o + 3, 0 = -2*u - o + 1. Suppose -5*n + 6760 = 5*z, -4*n = -11 - u. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*((-6)\/(-30))\/((-4)\/10). Let x(t) = -t**3 + 227. Let k be x(v). Suppose 4*z - k - 41 = 0. Calculate the remainder when z is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w - 4. Suppose 0*p = -p + 4. Let q be v(p). Suppose 0*f - 4*f + 48 = q*n, -28 = -2*n + 2*f. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 136b (base 12) to base 2.\nAnswer: 100011000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 681 = -80*f + 121 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16352 - -8544. Let s be f\/(-12) + 1\/3. Suppose d + s = 4*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/12)\/i**(1\/2))\/(i\/(i**(2\/3)\/i*i))**(-29) assuming i is positive.\nAnswer: i**(109\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18326 is divided by 3473?\nAnswer: 961","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -8\/161346731?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 1773?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -1 + 7*c**2 - 2*c**3 + 3*c**3 + 2*c + 3*c. Let i(j) = 24*j**3 + j**2 + j - 2. Let a be i(1). Suppose -19*v + a*v + 30 = 0. What is s(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 312 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 28*p**2 + 66*p**2 + 6 + 1 - 97*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4*k - k = 14, 3*m - 3*k + 6 = 0. Suppose 3*j + m - 13 = 0. Differentiate -7*v**4 + v**4 - v**j - 7*v**4 - 13 wrt v.\nAnswer: -56*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 829 (b) 1\/6 (c) -298 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -152, -87, -26, 31, 84?\n\"Answer: -2*k**2 + 71*k - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 7698680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -3\/4, -48, 28, -4, -0.3 in descending order.\nAnswer: 28, -0.3, -3\/4, -3, -4, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -7865.\nAnswer: 4\/7865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 2*s - 4. Let q be j(-4). Sort -11, 5, q.\nAnswer: -11, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0*p = -177. Let k = 94114 - 94084. Calculate the remainder when p is divided by k.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 divided by 501931?\nAnswer: 36\/501931","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is 692241480 divided by 18?\nAnswer: 38457860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j - 1 + 9 = 0. Let p(x) = -5*x**3 + x**2 - x. Let w(n) = n**3 - n**2 + n. Calculate j*p(a) + w(a).\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4485921+-2829\nAnswer: -4488750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.154801184 to 2 dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g**2 + 65\/4*g + 5\/4 = 0. What is g?\nAnswer: -1, -1\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17803111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126 + 102 + 593 + 279 - 2*m**2.\nAnswer: -2*m**2 + 848","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 5*q**2 - 109430*q + 109425 = 0?\nAnswer: 1, 21885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3464 + 3466. Let a be ((-13)\/4 - -2)*-4. Let i(c) = 12*c - a*c - 2*c**s - 5*c + 2. Give i(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8597 is divided by 6931?\nAnswer: 1666","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, p: 1, s: 1, h: 2, v: 4}. Give prob of sequence wv.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -3*j**5\/20 + j**3\/2 - 4*j. Let g(a) = 0. Calculate a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/22)\/(11607\/(-636)).\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/5, -73, 0.03, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 1210\/3761 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 9167.955 and -1.3165075.\nAnswer: 9166.6384925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -147178397 divided by -3589717?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -141280.61773 to the nearest one hundred.\nAnswer: -141300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3 - 2184*i**2 + 1062143*i.\nAnswer: i*(i - 1453)*(i - 731)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -2.90188.\nAnswer: -14.5094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 259674 and 139668.\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 0*v - v + 76 = 0, 64 = -3*t - 2*v. Let w = t - -16. Let f = 4 + -11. Is w > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 7:48 PM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.867 rounded to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k + 6624 = 6705 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -366 = 19*k - 21*k + 63*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -306.23 + 308. Let i = p - 8.77. Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u + 10. Let f be k(8). Let d be (-3)\/(-2) + f\/4. Find the third derivative of 15*z**3 - 15*z**3 - z**5 + 3*z**d wrt z.\nAnswer: -60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/5 + 54064094*o**2\/5 - 365365755473056*o\/5 - 365365809537152\/5.\nAnswer: -2*(o - 13516024)**2*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23.044 + -0.044. Let j = n + -17.7. Let y = 0.3 - j. Are y and -4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4617970 divided by 74?\nAnswer: 62405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 + 532*k - 3120.\nAnswer: -2*(k - 260)*(k - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*i**4 - 16*i**3 - 76*i + 2408015 wrt i?\nAnswer: 12*i**3 - 48*i**2 - 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/35, -3\/8, 0.06 in descending order.\nAnswer: 0.06, -3\/35, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3*f - 14, 46 = 4*v + f + 2*f. Suppose -4*x + 4*j - 4 = -2*x, -5*j - v = 0. Calculate the lowest common multiple of 20 and x\/4 - (-153)\/6.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 27 - 68 - 5*a + 168 - 64 - 69. Let i(u) = u**2. Let d(j) = j**2. Let s(w) = 2*d(w) - 4*i(w). Determine b(s(n)).\nAnswer: 10*n**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 73158 and 30?\nAnswer: 365790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*z + 1687*z**3 + 3*z - 1772*z**3.\nAnswer: -85*z**3 - 10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -13 + 85 + -40?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78\/(-792) - 1*2\/(-11)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2357290 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from avnpavvian. What is prob of sequence nan?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*n**2 + 646\/5*n - 644\/5.\nAnswer: -2*(n - 322)*(n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1983059250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/42)\/((-15)\/(-7)). What is the nearest to -0.2 in 0.5, q, 1\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 59\/38 - 1\/19. Suppose -3*g + 5 = 4*l - 5, -g + 5 = 3*l. Let s be (0 + (-2)\/(-6))*l. What is the closest to -1 in 3, r, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4964 - 4963.99981575. Round l to five dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 10. Let p be (-4)\/126*-3 - 725\/(-105). Suppose -p*b + 12 = -2. Put 3, c, b, -2 in increasing order.\nAnswer: -2, b, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 9. Let i(w) = 2. Let b be 5\/((-2)\/(-8)*-1). Let p = 18 + b. Let c(l) = p*z(l) + 9*i(l). Let u(m) = 4*m**2. Give c(u(f)).\nAnswer: 32*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 0.5. Let h = 0.1 - 0.2. Let k = 0 - h. Which is the third smallest value? (a) n (b) -2\/13 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 9*g**3 + 32*g**2 - 11*g + 11. Let c(w) be the first derivative of 5*w**4\/4 + 16*w**3\/3 - 3*w**2 + 6*w - 2071. Give 11*c(d) - 6*y(d).\nAnswer: d**3 - 16*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -6. Let b = 108 - 118.1. Let a = -10 - b. Is a at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*-42990*18020\/159. What is f rounded to the nearest ten thousand?\nAnswer: -4870000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11841 divided by -12\nAnswer: -3947\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 - -3.3. Let n = 553.474 - 554. Let s = 0.026 + n. Which is the biggest value? (a) s (b) -0.2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 6*x. Suppose x = -3*a - 12, 3*a = 3*k - 2*a - 20. Suppose k = 7*w - 9*w + 10. Solve w*m = 2*m - 2*p - 4, 5 = -5*m - 3*p for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2 - 195570*s - 1912381245.\nAnswer: -5*(s + 19557)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (23\/(-5))\/(7*14\/(-490)). What is the greatest common divisor of 7 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 k when two letters picked without replacement from xkiekknknnkn?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus -363415278?\nAnswer: -363415273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**2 - 10*t - 1. Let f be b(7). Let u be (-172)\/(-36) - (-6)\/f. Suppose -u*x + x = 0. What is the third smallest value in -2\/3, x, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 9*t - 5. Let x(b) = -8*b + 5. Let m(f) = 4*i(f) + 5*x(f). Suppose -5*y - 54 = -p - 65, 0 = 4*y - 2*p - 10. Calculate m(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 5\/3, 0.4, 308, 5?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 871333 is divided by 290426.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4032) + 2 + 4 + sqrt(4032))**2.\nAnswer: 576*sqrt(7) + 16164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -949 + 1693. What are the prime factors of a?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1346 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43.10000457 + -43.1. What is z rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 401*d + 8814. Determine b(-22).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2*y - 0*o + 58, 5*o + 10 = 0. Let m(a) = -1 + 2*a + y*a + 0. What is the remainder when m(1) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*n - 1139393 + 1140051 = 0 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26634 = -6*n + 6978. Let o = 7661 + n. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q - 12*q + 17*q + q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 5447*t - 9573. What are the prime factors of p(10)?\nAnswer: 17, 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 72 = -d. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 367246 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -230.0005 + 0.0005. Let w = 517 + n. Let z = w + -286.9781. What is z rounded to 3 dps?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4 + (sqrt(396)*-3)\/sqrt(9))*2.\nAnswer: -12*sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74708?\nAnswer: 2, 19, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10, -47, -110, -199, -314, -455?\n\"Answer: -13*c**2 + 2*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -17 + r - 11\/6*r**6 + 0*r**3 - 17\/2*r**2 + 1\/2*r**4 + 0*r**5. Find the second derivative of p(l) wrt l.\nAnswer: -220*l**3 + 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(171))**2*-2*-5.\nAnswer: -5130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, 2, -9, -3, 5 in decreasing order.\nAnswer: 5, 2, -3, -9, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -2. Let i be (1 + 0)*(-12)\/b. Suppose -12 = -0*y - 3*y + l, i*l = 0. What is the smallest value in -1, -2, y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/8*-2*-8. Let y be -1 + 0 + 13 + c. Calculate the greatest common factor of 112 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10405 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -65\/381?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002048 to 6 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-87 + 87)*(1 - (-1 - -3)). Suppose 5*r - 528 + 538 = y. Put 0, 2, r, -3 in ascending order.\nAnswer: -3, r, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 70 - 34. What is the remainder when r is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/3))**(26\/7)*v**(-5)*v**(-14))**(2\/35) assuming v is positive.\nAnswer: v**(-694\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 341255092?\nAnswer: 2, 599, 142427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/3)\/(f*f*f**(-5)))\/(f**(-1))**2 assuming f is positive.\nAnswer: f**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, -19, 3, -1, -40, 0, -5 in descending order.\nAnswer: 29, 3, 0, -1, -5, -19, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4\/9 - 1917712*u**3\/9 - 68104203440*u**2 - 65302805130585152*u\/9 - 130603158525188128\/9.\nAnswer: -2*(u + 2)*(u + 319618)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 115*i = 110*i - 23, 9*i + 49 = 4*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-73 - -95) + (0 - 10) - 40\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.9 + -7. Let z = 15 + -19. Let l = 2 + -2.2. What is the third biggest value in l, d, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3*o - 19 = 0, -3*h = 3*o - 7*o - 17. Let q be 4 - 2 - h\/(-1). Let j = 1 + q. Solve 5*w - 2*s = -25, 7 + 3 = -j*w + s for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t\/(t*t**(-21)*t))\/t*t))\/(t**(1\/27)\/t))**7 assuming t is positive.\nAnswer: t**(-3409\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*p**3 - 44114*p**2 + 2*p + 44114*p**2.\nAnswer: 19*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 9*r**2 - 5*r + 17. Suppose 6*f - 37 - 16 = -5. Give g(f).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -65096 bigger than -64991?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.5826 to 1 decimal place.\nAnswer: 16.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -994, -2055, -3116, -4177, -5238, -6299?\nAnswer: -7360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 141539, 142058, 143465, 146204, 150719, 157454, 166853?\n\"Answer: 74*w**3 + w + 141464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 70*x + 11. Suppose 0 = -3*w + 5*f - 72, f - 2*f + 3 = 0. Let o be v(w). Is o\/((-3)\/(-6)*-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -239 - -241. Suppose 3*i + 4*k = 17637, -t*i - 3*k + 0*k + 11758 = 0. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125189521.\nAnswer: 1069, 117109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 11. Suppose -g + i*g - 8 = 0. Suppose j = -j - u - 4, 0 = g*j - 5*u + 36. Which is smaller: j or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 392 and 1666.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5514, 2018, 9550?\n\"Answer: 7532*s - 13046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*u - 38. Let k = u + -10. Solve -k*j = 2*j - 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)\/sqrt(72))\/(sqrt(512) + sqrt(2)) + -1 - (2*(sqrt(1300)*3)**2 + -4*sqrt(1300)*2).\nAnswer: -23401 + 4081*sqrt(13)\/51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -47904402 - 0.4\nAnswer: -47904402.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 1:08 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1774 - -1708. Suppose 0*w - w - u + 66 = 0, -w + 3*u + 86 = 0. Let z = y + w. Let v(r) = -r**3 + 5*r**2 + 3. Calculate v(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -1) + (-25 - -75). Solve 4*k = -3*k + v for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + y = 25. Let z(a) = a**3 + 6*a**2 + 2*a - 3. What are the prime factors of z(y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 4 (b) 0.06 (c) -14 (d) 5\/54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - (546\/26)\/(-21).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**6 - 5972*f**4 - 13*f**3 - f**2 - 289894*f?\nAnswer: 240*f**3 - 143328*f - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -6427*f - 15 + f**2 + 6426*f - 5. Give b(0).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 14*w**3 - 237*w**2 - 18*w - 2. Calculate b(17).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 7*p + 23. Let o be s(-2). Let q(a) be the second derivative of 2*a**3\/3 - 18*a**2 - 15*a. Let d be q(11). Is o at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**2 - 59*n - 1461 + 1461.\nAnswer: 4*n**2 - 59*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198*g = 832*g. Suppose -i - 2*q = -3, -5*i + 2*i + 9 = 4*q. Solve g = f - i for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1081.6+-7.155\nAnswer: 1074.445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/1701 or -1?\nAnswer: -4\/1701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -88207*m + 88220. Give i(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {s: 1, d: 1, c: 1, l: 1, e: 1, b: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f*(f**(1\/4)*f)\/f))\/f*f)**(8\/3)*f**(2\/7)*f**(-1\/12))**(-45) assuming f is positive.\nAnswer: f**(3945\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t + 12 - 12*t**2 - 9 + 2.\nAnswer: -12*t**2 + 5*t + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.286 from 659588.1789.\nAnswer: 659588.4649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/4 + (-2)\/(-8). Suppose 2*w - 7*w = -j - 280, -3*w + l*j = -168. What is the greatest common factor of 7 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 9:01 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 24*s**2 + s + 2. Let y be -4 + 4 + 2 + -3. Calculate the remainder when 72 is divided by n(y).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide (-12 - 0)\/((-65)\/1690)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 8*j - 7. Let d(i) = 2*i**3 - 4*i**2 + i - 8. Let s be ((-240)\/6)\/(-8) - (-2)\/(-1). Calculate the least common multiple of d(s) and t(6).\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1073920*g**4 - 750823*g wrt g.\nAnswer: -12887040*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.31 - -0.41. Let n = -45.4 - -42. Let t = n + 3. Which is the nearest to j? (a) 4 (b) 3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 1888*x**2 + 1393*x**3 - 1888*x**2.\nAnswer: 1393*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of 5*i**6\/6 - i**5 - 5*i**4\/2 + 10*i**3\/3 + 5*i**2\/2 - 5*i + 18. Factor o(z).\nAnswer: 5*(z - 1)**3*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -39\/4. Let d = -316 + 316.209. Let h = d - 0.009. What is the closest to v in 0, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*x - 35 = 0, 0*x - 3*x - 3 = 0. Suppose 0 = 3*t + 4*m - 36, 2*m = -4*t + 17 + 21. Which is smaller: t or p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 972, 1152, 1332, 1512, 1692?\nAnswer: 1872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o. Let x(t) = -320*t**2 + 47*t - 138*t + 52*t + 39*t. Calculate x(v(b)).\nAnswer: -2880*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 28558876 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: Which is the nearest to -33419? (a) -2\/5 (b) -3 (c) 0 (d) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 15) to base 16\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 11*j**2. Let v(o) be the first derivative of -5*o**2\/2 + 233. Determine v(m(h)).\nAnswer: -55*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -311.4 - -41.4. Let q = 269.98941 + l. Round q to three decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345 is divided by 6\/(-21*38\/(-35245)).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1775.2 minus 12119512559?\nAnswer: -12119514334.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 3*k - 1. Let g be h(5). Suppose -2*x + g = -r, -3*x + 69 = -2*r + 9. Does 11 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by -1746671\nAnswer: 14\/1746671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, r: 4}. What is prob of picking 1 w and 1 r?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (75 - -2) + -262 + 151.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gffb when four letters picked without replacement from {b: 1, g: 2, f: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**5 - 30*w**4 + 69*w**3 + 30*w**2 - 72*w = 0. Calculate w.\nAnswer: -1, 0, 1, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -5*p - 11. Suppose 0 = -y - y - 72. Let q be 1\/((-8)\/130) - y\/144. What is the units digit of i(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.48826 millennia to years.\nAnswer: 17488.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + (34 - 24) + 20 + -3 + 20.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 530881 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u + 192 - 576 + 194 + 187.\nAnswer: -6*u - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uio when three letters picked without replacement from {u: 2, i: 1, o: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.09 + -0.28. Round b to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f - 4. Let h be r(-6). Suppose -6*x + 37 = -x - 2*n, h*x - 6 = 3*n. Suppose -2*y + 25 = x. Calculate the remainder when y is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eqoe when four letters picked without replacement from {l: 3, q: 1, o: 7, e: 6}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x + 29508 = -11097. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 711698?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p**3 - p**2 + 2*p - 1. Let y(g) = -2*g + 22. Let a be y(11). Suppose -t - 4 + 5 = a. Give h(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 288686362 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*c + 4*c = -78*c + 840. Calculate the highest common divisor of 1935 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 9*c + 73. Let l be u(5). Determine g, given that 3*g**5 + 0*g + 3\/2*g**4 + 0*g**2 + 0 + 0*g**l = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2480602?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3279*j + 3330*j + 255 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 149*h - 139*h + 70. What is the closest to 0.9 in h, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201447 (base 15) in base 10?\nAnswer: 1523092","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124.3993ng to tonnes.\nAnswer: 0.0000000000001243993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1037100 and 17400.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is -65 less than -65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**3 - 70*x**2 - 510*x - 16. Calculate i(-20).\nAnswer: -1816","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*t - 50*t + 111*t.\nAnswer: 21*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 324 and 530388?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 9*d - 1007. Determine m(-39).\nAnswer: -2879","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/5 - (-32)\/(-40). Suppose -2*h + 4 = -0*h + 4*r, -5*h + 2*r + 22 = 0. Suppose 1 - h = -3*k. Which is the third smallest value? (a) k (b) 2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3214 - -3219. Let i be 9*2\/(-14) - -1. Which is the third biggest value? (a) i (b) u (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32757160.\nAnswer: 2, 5, 197, 4157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3524671 (base 9) to base 11.\nAnswer: -109213a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 102*-187561\nAnswer: -19131222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -3 (c) -0.99 (d) -2 (e) -0.6 (f) 4\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 4 + 14*f**2 - 2*f - 32*f**3 - 31*f**3 + 73*f**3 - 12*f**3 to the form w*f**2 + q + t*f + r*f**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*k**2 + 5*k**2 - 2*k**3 + 4*k**3 - 1 to the form a + g*k**3 + z*k + j*k**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58354354 and 731?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/7, 2\/45, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 337641*i + 4*i**2 - 675415*i + 337774*i - 15*i**2.\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26888882 and 5140?\nAnswer: 268888820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 17 = -3*m, -3 = 2*m - 5*v + 1. Suppose 2016 = 3*q + m*y, -q + 285 = -2*y - 372. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -56?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 71830, 72456, 73508, 74992, 76914, 79280?\n\"Answer: m**3 + 207*m**2 - 2*m + 71624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1853*f = 1828*f - 3883*f + 4848 for f.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 25*v - 16. Let p(i) = -3*i + 149. Let c be p(43). Let w be x(c). Calculate the highest common divisor of w and 378.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41838 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-148)\/(-10) - (-2400)\/750. Let g(j) = -j**3 + 19*j**2 - 15*j - 65. Determine g(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**3 + 6*i - 6*i + 0*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 5 = 3*l, -4*k - l = 3*l + 20. Let m be k\/(-10) - (-18)\/30. Let v(x) = 7*x**2 + x - 1. Calculate v(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 2*r + 3. Suppose 16*u - 10 = 11*u. Let g be i(u). Let k = g - 0. Solve 2*a + 2*h = 0, -1 = k*a - 5*h - 41 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -131, -1, 6, -12, -5, 2, 0 in descending order.\nAnswer: 6, 2, 0, -1, -5, -12, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 152*g = 147*g + 31, -3*g = 2*a - 21 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 24 - 16401*g**3 + 12 - 11000*g**3.\nAnswer: -27401*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 - (-32406)\/528 - (-322)\/80?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -413781*g - 582*g**3 + 182*g**3 - 413787*g + 827568*g.\nAnswer: -400*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 43 - 1. Let s = l + -15. Suppose -s*z + 40 = -2*z. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) 2 (c) -1819\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2202387721 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 1290899414?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/29)*(g\/g**(-2\/45))\/g)\/(g**(1\/34)*g**(-32)*g) assuming g is positive.\nAnswer: g**(1374607\/44370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/3 + 2596*x\/3 + 1860042.\nAnswer: -2*(x - 2441)*(x + 1143)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/65016 and -61\/57792.\nAnswer: 520128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 12 times -23\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 216664453 to the nearest integer?\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3674 divided by -334?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 - -4.6. Let f = -56.7 + -9.3. Which is the second smallest value? (a) f (b) 0 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 511527?\nAnswer: 3, 170509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmn when four letters picked without replacement from {n: 1, m: 7}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 1 + (9 - 3) + -15?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus 552165?\nAnswer: -552164.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in decades?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 539627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.572391292 rounded to 1 decimal place?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 388.316 + -388. Let n = s - -222.684. Which is smaller: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n**2 + 2648657 - 11*n**2 - 2648657.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -52*r**2 - 91*r + 178. What is z(2)?\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*n = 5*p - 8311, 5538 = 2*n + 4*p. What is the thousands digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from ibwiuauiuauuauuaw?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -24*h - 112. What is the least common multiple of w(-5) and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2*z - 6*z = 8, -3*z - 14 = -5*o. Solve -18 = 5*v + 4*b, -o*b = -5*v - 0*b - 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -228 equal to -210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 17*x**2 - 1487*x + 16. Calculate t(-31).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, -0.07, 5, -1, 6\/5?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -936 + 967.1. What is the biggest value in 0, t, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 l when four letters picked without replacement from lljjlllljlj.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -89\/2, 494, 13?\nAnswer: -89\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*d - 16*d - 24*d = 156. Let n = 379 + -197. Calculate the highest common divisor of d and n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -227221790 divided by 3.\nAnswer: -227221790\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*l - 27 = 39 + 25 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6288 divided by -6.\nAnswer: 1048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6363 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -20, -13, 10, 55, 128, 235, 382?\n\"Answer: a**3 + 2*a**2 - 6*a - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/2*((-36)\/(-38))\/(-9)*19.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -68 (b) -1\/4 (c) 3 (d) -1\/101\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39027410 and 1159230?\nAnswer: 117082230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 288*u - 2039 - 1993 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 - -2 - (3 + (24 - 6 - 12))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/140)\/((-3)\/21).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 144790?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -305, -534, -751, -950, -1125, -1270, -1379?\n\"Answer: g**3 - 236*g - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -2495612 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -5 - (4 - -1 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 + (75 - 56) - 38?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 776 - 768.66. Let l = x - 4.5. Let i = l - 0.32. What is i rounded to one decimal place?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of v**4\/72 - 55*v**3\/18 + 3025*v**2\/12 - v - 142. Let y(o) = 0. What is o?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -176.5 times -0.2?\nAnswer: 35.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 47791702759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7677867?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/49, -10, 18\/23?\nAnswer: 18\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ivv when three letters picked without replacement from ivviviviiivviv.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 474 - 473.9. What is the nearest to m in -1\/4, -1\/2, -5, 0.8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2154343?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hoo when three letters picked without replacement from {h: 2, o: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*((-288)\/(-63))\/(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -8*r - 21. Let z(i) = 8*i + 23. Let y(k) = 3*f(k) + 4*z(k). Does 9 divide y(21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (27\/(-24)*(-18)\/54)\/((-3)\/(-32)). Let a be (-2)\/3 - (-3)\/(-9). Let y be 13\/4 + a\/4. Solve 10 = u*j - y*h, j + 5*h = 6 + 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5594233615?\nAnswer: 5, 83, 139, 96979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 79100\/(-22500) - (-5)\/(-125). Which is bigger: v or -2.4?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 minus 2151280.3123?\nAnswer: -2151303.3123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 minus 25.2?\nAnswer: -25.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 95*a - 56*a - 780. Calculate the remainder when 438 is divided by a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -88928 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18644011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42*(19\/(-7) + 3).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228870\/7 greater than 32697?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmqqmqqqqqqqqqq. What is prob of sequence qm?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/10 of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of u**7\/42 + u**5\/10 - 2*u**2 - 4*u. Let l(x) be the first derivative of z(x). Find the third derivative of l(f) wrt f.\nAnswer: 120*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 3 - (6 + (-3 - 2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10416 divided by 6\nAnswer: -1736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6882 + 12704. What is the highest common divisor of w and 123?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -16*y - 3. What is the remainder when (7 + 63)*8\/10 is divided by p(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11398 - 5500 = -1339*n - 901*n - 90422 for n.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 78522 times -3263?\nAnswer: -256217286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 2\/11, 5, 0.2, 0.35 in descending order.\nAnswer: 9, 5, 0.35, 0.2, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxpxxxzxsxx. What is prob of sequence ps?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 11:46 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 143 - 140. Suppose -3*u = t - 244, c*u = -u + 4*t + 336. What is the remainder when u is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 252\/5 + -50. Let i(z) = z**3 - 2*z**2 - 2*z + 1. Let r be i(3). Suppose -c - 15 = -0*l - 5*l, -3*l + 9 = r*c. Does c = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2 + 4*z - 13. Let d be s(2). Solve 3*t = -p + 16, -2*t - d*p = -p - 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - ((sqrt(5) - (sqrt(5) + sqrt(10)\/sqrt(2)))*2 + sqrt(5))) + sqrt(80) + -2)**2.\nAnswer: -24*sqrt(5) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2*n - 21*n**2 - 1983*n**3 - 1985*n**3 + 3969*n**3 to x*n + t*n**2 + z + c*n**3 and give t.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l. Let d(m) = -29*m**2 - 5. Let y(r) = 86*r**2 + 14. Let v(h) = 14*d(h) + 5*y(h). Give i(v(s)).\nAnswer: -72*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 16*f**2 + 14*f. Suppose 2*l - 4*k - 2 = 0, 0 = 2*l - 12*k + 15*k - 51. What is j(l)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l + 7*l - 6 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 21*w + 25*w + 12*w)*(5*w - 4*w - 3*w).\nAnswer: -32*w**2 - 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 7:49 AM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33164004 is divided by 136.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 10*w + 77. Let h = w + 2. Calculate the highest common factor of h and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 21497, 21757, 22079, 22463, 22909, 23417?\n\"Answer: 31*m**2 + 167*m + 21299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1041 + -11?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6231 + 40065508542\nAnswer: 40065514773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -73, 3.9, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**2 + 0*m**2 - 3*m**2 + (3*m**2 - 2*m**2 + 0*m**2)*(-3 + 1 + 5) to the form r + i*m + j*m**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4858*i + 18229 = 545*i - 57413 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4791947 or 4791946?\nAnswer: 4791947","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Solve 117 = 67*w - 84 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c*m + 604*c*w**2 + 2*c + 10*m*w**2 - 9326*m + 2*w**2 wrt m.\nAnswer: -c + 10*w**2 - 9326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7881736, 7881734, 7881732, 7881730, 7881728, 7881726?\nAnswer: 7881724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -10*a**2. Suppose -10 - 42 = -4*z. Let m(s) = 8*s - z*s + s. Give m(n(p)).\nAnswer: 40*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06373 rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4205\/16 or -264?\nAnswer: -4205\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 9*u - 193. Determine j(22).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**2 + 14*f - 17. Suppose 0 = -4*m - 4*h + 8, 0 = -11*h + 7*h - 4. Let q(p) = -5*p**2 + 40*p - 49. Let s(d) = m*q(d) - 8*l(d). Calculate s(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119405*l + 4063*l - 1 + 113025*l.\nAnswer: 236493*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from egguglguleggggel. Give prob of picking 2 e and 1 u.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05152007 to 3 dps.\nAnswer: 0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**2. Let o(u) = 33*u + 1. Give o(x(k)).\nAnswer: 66*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 567 at least 568?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1066 + -1068. Suppose 4*r + 29 = 3*r. Let h be (-3)\/b*(r + 31). Solve z + h*d - 5 = -3*z, -5*z = 5*d for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (54\/(-22))\/(-3) - 2\/(-11). Let o be ((-5)\/m - -6)*0. Solve -4*d = -4 - o for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of p**6\/2 + p**3\/3 + 31*p**2\/2 + 36. Find the third derivative of t(m) wrt m.\nAnswer: 180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220*j - 216*j = 5*t + 36, j + 4*t = -12. Let x(p) = -p + 6. Let s be x(6). Solve 3*g + 5*k - 2*k + 15 = s, 10 = j*g - 2*k for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccchccchhhcccc. What is prob of sequence ch?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r - 5*r = 182. What is the remainder when 21 is divided by (-1 - 34\/r)\/((-210)\/735)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -cfa9 (base 16) in base 10?\nAnswer: -53161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8*(-15)\/360*(3\/15)\/1\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/13 + 6*c\/13.\nAnswer: 2*c*(c + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -101572 - -227639. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 360703.\nAnswer: 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8331, 26604, 44875, 63144, 81411?\nAnswer: 99676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + h = -58, -2*m + 7*m + 3*h = -69. Let s be (-1)\/(0 - (-3)\/m). Solve 0 = -s*v + 10*v - 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/233 and 28\/36665.\nAnswer: 8542945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -5\/12*c**4 + 13\/15*c**5 + 1\/6*c**3 + 0 + 2*c**2 + 16*c. Find the second derivative of k(q) wrt q.\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8.72753, -20, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*q + 2*s - 214, 2557*q + 2*s = 2553*q - 80 for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-374)\/77*-3*(-14)\/(-12)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/(-5) + (-18)\/(-45). Let n(b) = 6*b - 6. Let d be n(a). Let m = d - 11. Calculate the least common multiple of m and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4568101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 + 222221220200?\nAnswer: 222221220101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49 + -8. Let i(w) = -975*w + 4896. Calculate the remainder when i(5) is divided by 2\/(-10) + x\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - (sqrt(99) - -1*sqrt(99))*-5)**2.\nAnswer: 11979","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkzfljg. Give prob of sequence zk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 77 + 365 = 0. Suppose 4*j - 2*d - 611 = x, 2*d + 414 = 2*j. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 0*c**3 + c**3 + 11 + 2*c**2 - c + 10*c**2 - 23. Let z be t(-12). Suppose z*q = q. Solve 2*o = -q*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t**2 + 9*t - 14*t - 4 + 7*t + 10 to the form g*t + f + a*t**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n**3 + 5 - 2509*n - 4 + 1.\nAnswer: -6*n**3 - 2509*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 1207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(105)\/(sqrt(30)\/sqrt(10)))\/(sqrt(720) + -3*sqrt(720)*4)*4.\nAnswer: -sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 131493, 131491, 131489, 131487, 131485, 131483?\n\"Answer: -2*f + 131495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*(0 - (-1)\/2). Calculate the smallest common multiple of (0 - (-6 + a))\/1 and 34\/4 + 2\/(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n - 9 + n**2 - 3*n + 0*n - 5*n. Let c be a(7). Is 5 a factor of c\/((-5)\/(-2) - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -2 (c) 0.2 (d) -0.02 (e) -2\/7 (f) 3\/49\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.7 + -0.1. Let n = w - -7.8. Let m = -0.6 + 0.5. Is m > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*h**3 + 20*h**3 + 15*h**3 + 29*h**3 - 57*h**3 - 17*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7133735969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 905*j**2 + 12368*j + 1491. Calculate h(14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 10:31 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(-5*2*sqrt(8)).\nAnswer: -sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1377 (b) 3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -383*p**3 - 10*p**2 + 2*p - 1. Let t be k(9). Round t to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -9*i - 12. Let t(m) = -10*m - 13. Let c = -11 - -8. Let p be 8\/(-6)*18\/12*-2. Let a(z) = c*v(z) + p*t(z). Differentiate a(x) wrt x.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 7940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24357463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.2 (b) 571 (c) 1\/5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of 9*q**2\/2 + 12*q - 55. Calculate k(-4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) 7 (b) 8553 (c) -3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 18 + 19 + -58 + 1 + -12\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**2 + 5*j**2 - 4*j**2 - 5*j + 2. Let n be t(-4). Suppose -2 = -d - 2*p, -2*d = 2*d + 4*p - 16. What is the highest common factor of n and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33308571 to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.25 + -0.05. Let j = g - -0.1. Let y = 0.38 + 0.12. Sort j, y, 2 in increasing order.\nAnswer: j, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 u when two letters picked without replacement from hpdddqpdu?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 175 - 173. What is the derivative of 47 - 2*g - 16 + 21 - k*g**2 wrt g?\nAnswer: -4*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 272764 by 5.\nAnswer: 272764\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33 - 38 - 36 + 107 - 4664*h to o*h + u and give o.\nAnswer: -4664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 558 and 1674?\nAnswer: 1674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -9. What is the smallest value in 3, t, 2\/17?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 0.014\nAnswer: -0.0056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 3*o + g, 4*o + 189*g - 190*g - 33 = 0 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*k - 32*k - 1806 = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011 (base 4) to base 8.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**2 + 2*j - 11. Determine b(3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from {z: 4, q: 14}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 times 0.033?\nAnswer: -3.993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**4 + 1435*k**3 - 4*k**2 + 784*k - 3.\nAnswer: -12*k**2 + 8610*k - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -34260.46769 to the nearest ten.\nAnswer: -34260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1614857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (5 - (20 - 5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*j + 5*j + 6. Suppose -10*h + j*h + 36 = 0. What is the highest common divisor of 81 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + n - 6 = 0, 5*q - 7*n + 10*n = 10. Let y(m) = 4*m**3 - 3*m**2 - 2*m. What is y(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s + 2*s**3 - 4*s**3 + 12*s**3 + 69*s**2 - 72*s**2 to the form o*s + v + u*s**2 + b*s**3 and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 641 is divided by 165.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c**3 + 1. Let r be i(1). Let w be 0 + (-2)\/r*3. What is the third derivative of h**3 - h**w + 2*h**2 + h**3 wrt h?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*l - 72 = 0. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 58*z - 1 = 54*z, a - 29 = -7*z + 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16.2 + -16.612. What is i rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d + 2*a + 3, 1280*a - 1278*a = 2*d + 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -570, 164, -4, -5, 4, 8, 1 in descending order.\nAnswer: 164, 8, 4, 1, -4, -5, -570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 15. Let x = 0 - -3. Suppose -x*b - 12 = i*z - 63, 13 = -b + 5*z. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 - 107. Let d = 73.4 + h. Let v = 1.399996 - d. What is v rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u - 914 + 914.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is caa + -eebd?\nAnswer: -e213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -19\/15101?\nAnswer: -19\/15101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*p**3 - 32*p**3 - p**4 - 4*p + 2*p**2 + 14*p - 2*p**2 wrt p.\nAnswer: -12*p**2 - 126*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 45, 70, 93, 114, 133, 150?\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4586267, -4586266, -4586265, -4586264, -4586263, -4586262?\nAnswer: -4586261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4}. What is prob of picking 3 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/11))**(-1\/51) assuming d is positive.\nAnswer: d**(2\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -231*r - 266*r + 28 - 1050*r + r**2 - 176*r - 26 as g*r**2 + w*r + m and give w.\nAnswer: -1723","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**7*r**(-7)*r)\/((r**(1\/9)\/r)\/r**(2\/5)))\/((r\/(r**(-3\/2)*r))**(-31))**(-25) assuming r is positive.\nAnswer: r**(-104419\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 90*d + 25*d + 91*d - 1394002. Is 32 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -18*o**4\/7 - 3552*o**3\/7 - 177584*o**2\/7 - 33152*o - 10976 = 0?\nAnswer: -98, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -0.06 (c) -32517 (d) 2\/33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-162 + (-108480)\/(-800))\/((-6)\/5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 108611490 to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/8 and ((-2)\/(-9))\/((-16)\/568)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of t**6\/120 + t**5\/12 + 5*t**3\/6 + 4*t**2. Let m = 6 - 11. Let d be s(m). Solve -8 = 2*l, -d*n + l = -l - 18 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 + 2478*s - 511707.\nAnswer: -3*(s - 413)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 87425 and 19.553993858.\nAnswer: 87444.553993858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 445.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**3 - 59679*w**2 + 417846*w + 2626184 = 0.\nAnswer: -59686, -4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -70559\/10 + 7050. Let q be 21\/(-14) + -2 + (-3334)\/(-44). Let j = q + -8291\/110. What is the common denominator of w and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12 + 6 - -706)\/(2\/88). What is u rounded to the nearest 1000?\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -10. Suppose f - b*f = 0. Find t, given that f*t**2 + t**2 - 4*t + 11*t**3 + 5*t**3 + 11*t**2 = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -3\/2, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -494\/231 - -14\/33. Let b = 3\/44 + 2\/11. Find the common denominator of b and a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = g - 22, 2*n + n + 102 = 3*g. Is (2 + -624)*(g\/12 + -3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -113300032, -113300030, -113300028, -113300026?\nAnswer: -113300024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 36931.764 to the nearest 1000.\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/72)\/(6\/54)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19.712 + 68.388. Is -8 <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 * -13.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d*o**2 - 76*d*z - 125*d + 466*o**2 + 5*z + 2 with respect to d.\nAnswer: 2*o**2 - 76*z - 125","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -9*t**2 - 6*t - 10. Let n be f(-3). Let g = 364\/5 + n. Let m = 0 + -0.04. What is the third smallest value in m, -3\/5, 2\/9, g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - u - 3. Let q be i(3). Let b = -8 - -6. Put q, b, -0.5 in descending order.\nAnswer: q, -0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1196 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)\/(sqrt(144)\/sqrt(4)))**2.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, o: 4, m: 6, g: 1}. What is prob of picking 3 m?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i = -0*i + 226*i - 3120 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 3*v - 25, 0 = -i - 6*v + 3*v + 10. Suppose 26*s - i - 409 = 0. What is the remainder when 46 is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((-80)\/(-30))*27\/(-162).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + -1)\/((15\/(-9))\/5). Suppose 0 = -c*x + 3*g + 144, 0*x + 3*x + 5*g - 128 = 0. Suppose u + x = 60. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -o**6\/240 - o**5\/24 - o**4\/24 + 2*o**3\/3 + 49*o**2 + 8*o. Factor z(k).\nAnswer: -(k - 1)*(k + 2)*(k + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/8 of a hour?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 23*x - 116. Let b(t) = 55*t - 233. Determine 3*b(a) - 7*j(a).\nAnswer: 4*a + 113","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 6) to base 15.\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37\/13 + 919\/26. Let z = -247\/5 - -1016\/15. Find the common denominator of z and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5790741?\nAnswer: 3, 11, 379, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/2607352 and -71\/177774.\nAnswer: 7822056","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -2, 5, 3 in decreasing order.\nAnswer: 5, 3, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 1512?\nAnswer: -1\/1512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(68) - sqrt(68))*-5 - sqrt(68))\/(sqrt(12)\/(-4*sqrt(3))).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 5*r - 2. Let k(m) = 126*m - 45. What is -54*b(u) + 2*k(u)?\nAnswer: -18*u + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.237 + 1.237. Let a = -1 + -1. Let f be (8\/20)\/(a\/10). Put 5, l, f in increasing order.\nAnswer: f, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = l + 7. Let q be l + (1 - 28\/(-4)). Let j be (3\/q)\/(1\/48). Calculate the greatest common factor of j and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 10}. Give prob of picking 3 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20702.\nAnswer: 2, 11, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -19*r - 12. Let k(t) = -6*t - 4. Let u(c) = 2*j(c) - 7*k(c). Suppose 0 = 2*y - 4*s + 8, -2*y = -s + 5 + 3. What is u(y)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, d: 2}. Give prob of sequence dd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -638179321 less than -4?\nAnswer: 638179317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -337225, -674459, -1011693, -1348927?\nAnswer: -1686161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*l - 13*l + 49*l + 114*l in the form q*l + d and give q.\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 82.5 + -82.78. Put -3\/5, w, -4 in increasing order.\nAnswer: -4, -3\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/3))**(2\/23))**(-2\/9)\/((d**(-5)\/d**0)\/(((d*d\/(d*d**(-3)\/d))\/d)\/((d**(-4)*d)\/d*d*d))) assuming d is positive.\nAnswer: d**(6835\/621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.289903 rounded to 2 dps?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06546 rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 2\/3, 0.06 in ascending order.\nAnswer: -5, -1, 0.06, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -12\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 72468 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: Solve 5*q - 5*c = -80, -22*q + 25*q + 48 = 4*c for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, o: 3}. What is prob of picking 2 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-6 + (-17 - -5) - -6) - -13.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -60 + 2951 + 11*q - 8*q - 614 in the form y*q + v and give v.\nAnswer: 2277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j. Let s(b) = 4*b - 4. Let u(r) = 3*k(r) + s(r). Let m be u(4). Solve -5*o + 2*o + 12 = m for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*j + 17 + 4 + 15 - 15 to r*j + h and give h.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -66475 minus 0.1?\nAnswer: -66475.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*m + 28*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/14*(-3 + -4). Suppose d*u - 13 = -5*g, 3*g + 5 = g - 5*u. Suppose 4*a - 3*w = 206, 4*a + 5*w = g*a - 43. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -221 - -224. Suppose -6*o + 18 = u*o. Solve x - 7 + o = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 265 and 146?\nAnswer: 38690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*d**2*v**3 - d**2*v**2 + 8*d*v**3 + 261*d*v**2 + 38*v**3 + 42*v**2 wrt v?\nAnswer: -18*d**2 + 48*d + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 5*k**2 - 5*k - 6. Let d be i(-4). Let z be 7 + d\/1 - 0. Put -4, z, 1 in ascending order.\nAnswer: -4, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 8, 4.\nAnswer: 3, 4, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*j**3*o + 170*j**2*o - 21*j**2 + 29*j*o - j - 3*o + 820 wrt j?\nAnswer: 72*j*o + 340*o - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3734*w - 22407. Determine v(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 4636\/(-14)) + 0. Let f = -329 + r. Find the common denominator of 89\/8 and f.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**2 + 2 + z**2 - 3*z - 2*z. Let o be y(-4). Solve o = -2*s - 4 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -440 divided by -11?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -5 + 4*j - 2 - j - 6*j. What is y(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -9 - (-11 + 23)) + -2 - -4\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -1. Let o = -10 - -13. What is the closest to m in -1, o, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4889.325cm to kilometers.\nAnswer: 0.04889325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -292 and -42?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -489388*i - 5040695.\nAnswer: -489388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 725*b**2 + 388 - 498 - 875 - 2155 + 152 wrt b?\nAnswer: 1450*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of 0*i**3 - 169*i + 1\/5*i**5 + 0 - 139\/6*i**4 + 0*i**2 - 1\/21*i**7 + 0*i**6. What is the third derivative of b(q) wrt q?\nAnswer: -120*q**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 25*j + 2. Let z be q(0). Suppose z*w - 7*w = 0, -4*w = 4*i - 32. Calculate the least common multiple of i and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-2 + (-4*(1 + sqrt(1573)) - (sqrt(1573) + 1 + -5)) + 2)**2 + -5).\nAnswer: -235920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/22 - (8\/44)\/1. Suppose -5*c - w = -z*c - 15, 0 = -2*c - 2*w - 2. Find the third derivative of -22*g**2 - 28*g**4 - 22*g**4 + 55*g**c wrt g.\nAnswer: 120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 10*n + 4. What is the tens digit of v(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvbvbvv. Give prob of picking 1 v and 1 b.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 2050?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from knkuvnkknkkvnk. What is prob of sequence nnu?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 110750 and 300.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -139 + (65 - (-164 + 27))\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 g when four letters picked without replacement from {x: 5, b: 2, r: 1, y: 5, g: 5, c: 2}?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3869?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n + n + 2*n**4 + 4 - 2*n**4 - 4 + (2*n**2 - n**2 - 2*n**2)*(n**2 + 3*n - 3*n) + 1 - 1 - n**4 + 348*n**2 - 106*n**2 + 1038*n**4 - 239*n**2.\nAnswer: 1036*n**4 + 3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*b + 51 - 1091 = 0 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2*(1*sqrt(130) + sqrt(130) + sqrt(130)) - -1*sqrt(130)*-2))\/((-3*(sqrt(120) + sqrt(120)*2))\/(sqrt(12) + sqrt(12) + sqrt(108)*-6 + sqrt(12))).\nAnswer: -100*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56 (base 7) to base 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnltnnnnnnnnlnt. What is prob of sequence nntn?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(12\/9) + 2. Let r(s) = 8*s**2 - s - 3. Let c be r(w). Let o(i) = 14*i + 20. What is the tens digit of o(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -2\/15 (c) -131\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 26712, 53426, 80140, 106854, 133568, 160282?\n\"Answer: 26714*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4*s**3 - 6*s**2 - 10. Calculate d(3).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - n + 32 = 0, -5*n - 22 = -3*j - 0*j. Suppose -3*r + j = 8. Find the third derivative of r*a**2 - 6*a**2 + 8*a**2 - 21*a**6 wrt a.\nAnswer: -2520*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49 - 15. Suppose -5*h = -5*m - d + 4, 3*m = -h + 2. Put m, 0, 3 in decreasing order.\nAnswer: 3, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w - 16 = -4*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14288.79 rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32060*d**6 - 382366*d**2 wrt d?\nAnswer: -3847200*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 7:09 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/2782 and -1\/52537?\nAnswer: 1365962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -1153*x - 243459. Calculate u(-211).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x**4 + 403*x**3 + 41577*x**2 + 192433*x - 554414 = 0. What is x?\nAnswer: -199, -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 135719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.045 and -7.\nAnswer: -7.045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 740491.\nAnswer: 311, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 54 = 2*q - 4*y, -3*q = y - 88. Suppose 2*a + 126 = -7*a. Let j = a - -25. What is the remainder when q is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 44, 297, 984, 2321, 4524, 7809, 12392, 18489?\n\"Answer: 36*c**3 + c**2 - 2*c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 3*m + 7, -m + 5*f + 24 = 33. Let t = 0 + -1. Put m, t, 2 in ascending order.\nAnswer: t, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(2 - 0) - -4. Suppose 84*w - 89*w = -5*x - 245, -5*x = -2*w + 101. Let z be 429\/j - 12\/w. Round z to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -983087974 divided by -6.\nAnswer: 491543987\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*v**2 - 14*v**2 - 4*v**2 as l*v**2 + p*v + s and give l.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -5. Solve 2 = 4*b - t for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 10*l - 4. Let q(b) = 42 - 8*b - 39 + b. What is 5*i(t) + 7*q(t)?\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45*b**4*f + 2*b**3*f + 2*b**2 - 66*b*f wrt b.\nAnswer: 1080*b*f + 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -54*w + 18*w + 15*w - 2*w**2 - 2*w**2 - 41*w**3 + 20*w - 4. What is the hundreds digit of v(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**3*s - 4744*a**3 + 114*a**2*s**4 + 372*s + 11 wrt s.\nAnswer: -2*a**3 + 456*a**2*s**3 + 372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -233*a**2\/2 - 313*a + 177. Let j be y(-8). What is j rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 4569?\nAnswer: 54828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x. Let v = 2 - 0. Let r(a) = 2 - v + 7*a + 4*a. What is r(b(w))?\nAnswer: 22*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 6463.13252 to the nearest ten.\nAnswer: 6460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3 = 29. Suppose -4*x - f = 2*c, 0*x - 5*c = 2*x + 20. Suppose 3*b = 4*h + 150, -2*b + 4*h + x*h = -104. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -86?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, w: 4, o: 10}. What is prob of picking 1 o and 2 w?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -14*w**2. Let j(h) = h - 6. Let r(t) = 7*t - 35. Let c(s) = -35*j(s) + 6*r(s). Determine c(n(y)).\nAnswer: -98*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/((sqrt(120)*1)\/sqrt(12)))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -197 - -1774\/9. Which is smaller: 0.3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1229 - 1029. Calculate the remainder when j is divided by 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 93 and 605306.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -7*x + 40, -2*f + 1007 - 927 = x for f.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 23*g + 25. Let c = 4448 - 4469. Calculate v(c).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1632306 + 3?\nAnswer: 1632312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 37*w + 80. Let t be y(39). Let q(b) be the first derivative of 3*b + 0*b**t - 10\/3*b**3 + 3. What is the first derivative of q(m) wrt m?\nAnswer: -20*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j - 573 = -613 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 20 - (38 - 2).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1390 a factor of 321222050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4*z**2 - 6*z + 13. Let f(k) = 2*k**2 + 3*k - 7. Let d(o) = -11*f(o) - 6*x(o). Determine d(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-539)\/(-392) - 18\/48. What is the nearest to 2 in 1\/4, 0.7, 5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1080 = 16*b - 20200. Suppose 4 = -1193*i + b*i. Solve -i*m - 2*d - 2 = 0, -d + 1 + 0 = 2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven halves of a centimeter?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 227 divided by -1\nAnswer: -227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 268 > 267?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6\/25 of a minute?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*d**2 + 23 + d - 23 + 15)*(28 - 17*d - 28) in the form c*d**3 + p*d + y*d**2 + m and give c.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r. Let j(b) = -b + 11. Let o(u) = -u + 21. Let c(g) = 8*j(g) - 7*o(g). Give c(x(y)).\nAnswer: -y - 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12024*d - 23641*d + 11657*d.\nAnswer: 40*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 28 = -o + 7 - 18 + 30, -3*w = 16*o - 59 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -67 - -68. Let d be (4\/(-22))\/(q\/(-12)). Which is bigger: d or 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000699735 rounded to seven dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -339*a + 6373. Determine m(19).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1))**(2\/25)*((w*w**0)\/w)**(-18\/7))\/(w*(w\/(w\/w**(1\/7)*w))\/w*w**(-8)*w)**5 assuming w is positive.\nAnswer: w**(6861\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010263361 to the power of 1\/3, to the nearest integer?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16.9977 - -17. Round g to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 7*q - 3. Let p(x) = -8*x**3 + 4*x**2 + 3*x - 5. Let z be p(-2). Suppose 7*y = z + 295. What is the remainder when y is divided by g(3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3\/148 - 423\/1036. What is the closest to 0 in 0.5, 4, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c**(-1))**(-9\/8))**(-45))**(-2) assuming c is positive.\nAnswer: c**(-405\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*s - 7. What is d in -s + 3 + 0*d**3 + 3*d**2 - 3*d**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of r**7\/210 + r**5\/10 + 5*r**2. What is the third derivative of u(b) wrt b?\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8 - ((-190768)\/(-15896) - 4). Is 1 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 121*d - 10. Let u(i) = -120*i - 8. Calculate 4*m(o) - 5*u(o).\nAnswer: 4*o**2 + 116*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31383125?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70422, -140868, -211308, -281742?\nAnswer: -352170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71191 is divided by 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**5 + 107150*g**4 + 214285*g**3 + 107140*g**2.\nAnswer: 5*g**2*(g + 1)**2*(g + 21428)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -119212 minus 81143?\nAnswer: -200355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98550400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: 1560 (base 12) to base 3\nAnswer: 10110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -53\/3. Suppose 0 = w + f - 9, -12 = -5*w + w + 2*f. Let k be -1*1\/25*w. What is the third biggest value in 3\/2, h, k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**5\/2 + 2259*b**4\/2 + 2391*b**3\/2 - 97263*b**2\/2 - 1194*b + 47502 = 0 for b.\nAnswer: -7, -1, 1, 6, 754","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 0, -3\/8, -0.32 in ascending order.\nAnswer: -3\/8, -0.32, 0, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(14)\/sqrt(2)*-4*-1.\nAnswer: -20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - (39 + -52)) + (-4 - -18)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 12:28 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 645 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 13*w**2 - 13*w + 4. Let v(f) = -3*f**2 + 3*f - 1. Let s(n) = 2*c(n) + 9*v(n). Let z(b) = -4*b**2 + 3*b - 3. Calculate 15*s(q) - 5*z(q).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.4 - 3. Suppose 2*q + 67 = 3*f + 89, 0 = 3*f - q + 17. Sort f, w, 71\/2 in increasing order.\nAnswer: f, w, 71\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.9000072 - -1.9. What is j rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2 + 28*m - 394. What is the remainder when 438 is divided by g(9)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -h + 2*h + h + (5*h - 12 + 12)*(2 + 1 + 3) - 3*h + 2*h + 0*h + (-2 + 0 + 0)*(4*h + h - 7*h) - 3*h + 4*h - 3*h as m + w*h and give w.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 37*y**2 + 6*y + 28. Let p(r) = -r**2 - r - 1. Let i(u) = -b(u) - 6*p(u). What is the first derivative of i(c) wrt c?\nAnswer: -62*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171152083 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1581?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u - u + 3*u - 3 + 2*u + 3 + (0 + 2 + 0)*(1 - 1 + u) + 128 - 128 - 24*u - 2*u + 1 - 1 + (5*u - 4*u - 4*u)*(3 - 2 + 1).\nAnswer: -27*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 4, -0.5, 0.1 in decreasing order.\nAnswer: 4, 0.1, -1\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (((-10)\/(-2))\/470)\/(65\/130)\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 236731, 473276, 709823, 946372, 1182923, 1419476, 1656031?\nAnswer: 1892588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*y - 829*y - 2 - 709*y + 52*y as v + z*y and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1811*i + 4774 = 3633*i - 1745*i for i.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 429 (base 10) to base 9.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36 or -88?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(4\/5)*g**(-9))**(-1\/25)*(g**4\/g)\/(g**(-2\/11)*g*g)*(g*g**1\/g*g)\/g**(-1\/5) assuming g is positive.\nAnswer: g**(5101\/1375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + 32 + 4 + (0 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 y, and 1 j when three letters picked without replacement from yyybcjbyuubeuyycyj.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, k: 1, t: 1}. Give prob of sequence kt.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 5:30 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 12*x**2 + 152*x - 21. Calculate the remainder when h(19) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, f: 1, h: 2, d: 2, m: 1}. Give prob of picking 1 m, 1 a, and 1 h.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*n = 101*n - 36. Calculate the highest common factor of n and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2537 to 2 dps.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3616052?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 11*r**2 - 25*r - 2. Calculate j(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 41949198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 179 + -180.8. What is the third biggest value in 9, t, -2\/13?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0 + (1 + 5 - 4)*(1 + 0 - 2))*(-3*p + 7*p - 3*p) + (1 - 11 - 2)*(-2445 + 2445 + 191*p).\nAnswer: -2296*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 199\/6 - 33. Let o = 0 + -0.1. Let k be 33\/(-45) - (-2)\/5. Which is the nearest to o? (a) s (b) 4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r**2 + 318*r - 291. Calculate v(106).\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -2\/3, 0, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/16 of a kilometer?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and 655.\nAnswer: 654.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 69?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**2 - 67040199*d - 391304785 wrt d.\nAnswer: 4*d - 67040199","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - 8. Let f(o) = 3*o**3 + o**2 - 2*o - 9. Let b be f(0). What is the remainder when (b + (1 - -10))*37\/2 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(-3)\/3 + 6. Suppose q*p = -0*p + 8. Let o(b) = -5*b - b**p + b - b + 2*b. What is o(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -15*n**2 + 24*n - 1. Let j(f) = -12*f**2 + 23*f - 1. Give -4*j(z) + 3*y(z).\nAnswer: 3*z**2 - 20*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -82 (base 16) to base 4.\nAnswer: -2002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26118 * -43.\nAnswer: 1123074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -130? (a) -0.5 (b) -0.3 (c) -5.3 (d) -3\/5 (e) -2\/5 (f) -25\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 37*y - 309. Determine v(14).\nAnswer: 405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9 * 19187143.\nAnswer: -17268428.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m = -5*q + 17*m + 189832, 0 = -5*q + 5*m + 189805. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*y + 37*y = -249584 + 9464. What is the lowest common multiple of y and 1450?\nAnswer: 33350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3361*u + 121043. What is z(36)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, m: 6, j: 3, x: 1, i: 1, b: 4}. Give prob of sequence oim.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -433, 0.3, -1\/6, -11?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.054, 0.055, -1\/3, 2, -23, -5?\nAnswer: 0.055","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1095, -2\/9, 0.48, 0.0409 in descending order.\nAnswer: 0.48, 0.0409, -0.1095, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 20. Let p(b) = -2*b**2 - 74*b + 1. Let m(s) = 9*s**2 + 382*s - 15. Let w(z) = -m(z) - 5*p(z). Calculate w(u).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -b**4\/4 + 3*b**3\/2 + 9*b**2\/2 - b. Suppose 5*k = -151*k + 1404. Let x(o) = -o**2 + 2*o + 2. Determine k*x(a) - 2*y(a).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 257 and 77?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 12:39 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-4) - (-30)\/(-120). Let g = 95\/3 - 32. What is the nearest to -1 in o, 2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -135053, -134862, -134671?\nAnswer: -134480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -49*o - 358. Calculate h(-9).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.13265 or 22\/23?\nAnswer: 0.13265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -6*l**5 + 933*l**4 + 3315*l**3 + 3807*l**2 + 1431*l = 0?\nAnswer: -3\/2, -1, 0, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**4\/7 + 18*u**3\/7 - 111*u**2\/7 + 90*u\/7 = 0 for u.\nAnswer: -10, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -417*q + 831. Calculate j(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1001473.\nAnswer: 11, 181, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-535 + 166*q**3 + 535)*(-2*q - 3*q + 4*q) + (0 + q + 0)*(3*q**2 + 4*q**2 - 3*q**2)*(3*q - q + 0*q).\nAnswer: -158*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1360506 and -0.4?\nAnswer: -544202.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*n - 30*n - 6. Suppose -3*k + l + 11370 = -2*l, -n*k - 2*l + 7568 = 0. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -35 + 1453510?\nAnswer: 1453431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 178 - 53. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2808788?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 3 - 12 - -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3885\/2072)\/(12\/(-320))\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -408 + 408 + 33*p**2 - 2*p to the form z + r*p**2 + g*p and give r.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5*g**2 + 11*g - 6. Let n(s) = -62 - 5*s - 65 + 179 - 2*s**2 - 49. Determine 4*j(h) + 9*n(h).\nAnswer: 2*h**2 - h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s + 4*s + 3*w, -4*s = -2*w for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -16 + (44 - 72) - -5.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t**2. Let x(q) = -71873849*q. Give x(z(i)).\nAnswer: -287495396*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 172, 192, 242, 334, 480, 692?\nAnswer: 982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0227450865 + 14065.\nAnswer: 14064.9772549135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1496193 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*o - 13*o + 4*o)*((o**2 + 4*o**2 - 4*o**2)*(0 - 1 - 1) + 4*o + 5*o**2 - 4*o).\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjvjvjjjvv. What is prob of picking 4 v?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from roroor.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**3 - 2*k**2 - k - 4. Is t(3) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -f**2\/2 + 9*f + 16. Let g(l) = 7*l + 36. What is the remainder when g(-4) is divided by y(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21312030 + 13024?\nAnswer: 21330104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -15\/10966 (c) -1\/10 (d) -2 (e) 0.021\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 354\/94164*336\/(-72)?\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 11:21 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (61 + -42 - (-2 - -12)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 18\/2 - (188 + -191)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5365 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/170121, 0, -10\/9 in decreasing order.\nAnswer: 2\/170121, 0, -1, -10\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*1\/14*4.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 7, 0.01, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 827450 divided by 43550.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 + 40. What is the remainder when (-2)\/1*(-15 - 10) is divided by q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 4 (c) -93 (d) 12 (e) -6 (f) -10\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64664 is divided by 7184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 3*s - 7*s. Suppose -5*q = -5*g + 75, -g - 13*q - 50 = -q. Calculate the smallest common multiple of g and s.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0, -2\/73, -89, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 4*a + 8 = 0. Suppose 4*j = 3*w - 0*w + 152, 5*j + a*w - 190 = 0. Calculate the remainder when j is divided by (8\/(-10))\/((-9)\/225).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 0.315, 0.4, 3, -63, 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j + 3. What is i(-7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1310 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 302631 times -0.065\nAnswer: -19671.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/3 + 88\/12. Let c be 396\/(-63) + 2\/j. Let n(y) = -2*y**2 - 8*y + 21. Let v(k) = -k**2 - 4*k + 11. Let q(r) = 4*n(r) - 7*v(r). Determine q(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -5*o + 7. Let x = -1 - o. Suppose -n = -x*f + 26, 4*f = 3*n + 13 + 20. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 71 by -2291375.\nAnswer: -71\/2291375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1578 + 1576. Let j(x) = 5*x**2 - 6*x - 6. Let t(f) = 2*f**2 - 2*f - 2. Let i(u) = 4*j(u) - 11*t(u). Let b be i(n). Is b bigger than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 55220 + -55210. Let r be (1 + -3)\/(-2) - -4. Solve -9*w - r = -c*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1510 (base 6) to base 2\nAnswer: -110010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -104 or -119?\nAnswer: -104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 8 = -3*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 53020*v + 350. Let q(p) = 2*p. Determine q(n(i)).\nAnswer: 106040*i + 700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8674.5 + -8674. What is the nearest to -5\/4 in 0.1, -2, y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+-1413\nAnswer: -1412.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 0*g - 12 = 2*g, 5*k + 4*g - 15 = 0. Let q(w) = 86*w - 2. Let m be q(2). Suppose -i - 4*v + 9*v + 62 = 0, k*v - m = -5*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -64 + -36?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**2)\/z*z**4)\/(z**(3\/2)\/(z*z**(2\/9))) assuming z is positive.\nAnswer: z**(31\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 14*u - 36. Let s be y(11). Let p be 3 - 6 - (5*s)\/5. Is 15 a factor of -1 + (2 - (-36 + p))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -84.986 + 85. Let k = m + 32.086. Let n = 32 - k. Put -3, 0.8, n in increasing order.\nAnswer: -3, n, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -126325 > -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 17995 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 71580610?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -9, 0, -1\/2, -0.3, -3.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 + 37. What is the remainder when 69 is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22*91\/(-858)*(-1)\/3.\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, -1\/4, 172, 0 in descending order.\nAnswer: 172, 0, -0.02, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -843231717*b**3 + 958129455*b?\nAnswer: -5059390302*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q**2 + 4488*q - 39489 + 39489 as s*q + t + x*q**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2 - p - 2. Let k be b(2). Let z be 223637\/(-455)*k\/336. Let x = z - -5\/3822. What is the common denominator of 29\/2 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 4. Calculate the remainder when (2 + 1)\/((-51)\/(-136)) is divided by 1 - (k + (-4)\/2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 6*u**2 - 5*u + 4. Let p be q(5). Let l(h) = -h**3 - 2*h**2 + 3*h - 3. Suppose -s + 2*s + 4 = 0. Let b be l(s). Solve b = p*v + 1 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 1.2. Let a = 0.0056 + -0.0356. Is u at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4110 - 2259. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.94466 millimeters to meters.\nAnswer: 0.05794466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 8939002.05 to the nearest 1000.\nAnswer: 8939000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from {s: 5, r: 8}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2*f**2 - 3 + (6*f - 2*f - 5*f)*(1 - 1 - f) - f**2 - 4*f**2 + 3*f**2)*(8 - 32*f + 14*f + 12*f) to k*f**2 + p + h*f + j*f**3 and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.3255466 to four decimal places.\nAnswer: 1.3255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 5*u - 13, 0 = -2*t - 291*u + 295*u - 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -6*a - 249. What is k(-42)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 872254764003 - 0.33.\nAnswer: 872254764002.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1827 or -1828?\nAnswer: -1827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -33*f - 28*f - 32*f + 120*f - 25*f. Let w(s) be the third derivative of 7*s**4\/24 + s**2. What is q(w(g))?\nAnswer: 14*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 1:45 PM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, n: 1, o: 5, x: 2, b: 1}. Give prob of picking 1 n and 1 o.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 27336313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 16*f**2 + 30*f. Let o(w) = 12*w**2 + 15*w. Let v(q) = 11*q**2 + 14*q. Let y(s) = 8*o(s) - 9*v(s). What is -2*p(u) - 11*y(u)?\nAnswer: u**2 + 6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -560, -1121, -1682, -2243?\n\"Answer: -561*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/4)\/(7\/2). Let b = 0 - 0.1. Suppose 134 = -2*r - 11*w, -1574*r + 3*w = -1576*r - 38. What is the nearest to r in f, 1\/4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 1:03 AM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1530 + 1596 = m + 3*l, -m - l + 22 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3359*d - 104 - 184 = 3260*d + 108 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express f**3 - 6*f**3 + 2*f**3 + (0 + 0 - 2*f)*(-739*f**2 - 2051*f**2 + 558*f**2) as r*f + a*f**2 + g + w*f**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4608803*c**2*k + 5129*c**2 - 165*c wrt k.\nAnswer: 4608803*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p = -4*z + 62, -5*p - 22*z = -23*z + 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 187.6 times 12523?\nAnswer: 2349314.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -10. Let j be -1 + r + 5 + -1. Suppose 3*u - j*y - 223 = 0, 2*u = 4*u + 2*y - 144. Is 15 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -689 and 0.2704.\nAnswer: -186.3056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 3*o + 45 - 16, -2*x - 2*o - 12 = 0. Which is the second biggest value? (a) -2 (b) 13 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -478712 or 8?\nAnswer: -478712","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 730737 and 7595.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + 13\/1 + -7. Suppose 5*w + 114 = -111. Let z = -43 - w. Solve 2*k + n*l - 10 = 0, l + 3 = z*k - 1 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3621328, -7242652, -10863976, -14485300, -18106624?\n\"Answer: -3621324*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -180*346052.\nAnswer: -62289360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 10 = -2*g - 2*f, -5*g + 2*f + 63 = 0. What is the least common multiple of g and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 5:49 AM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 441787655?\nAnswer: 5, 463, 190837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 162904, 1\/3, -2\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48751967 is divided by 13004?\nAnswer: 12975","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 10:58 AM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 316909392 to the nearest integer?\nAnswer: 17802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 9, 1202.\nAnswer: 5, 9, 1202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*c - 4*l + 14, 3*c - 3*l + 3 = 0. Let w be -3*(2\/3 + -2). Let j = 12 - w. Solve c = u + r + j, 3*u + 2*r = -13 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3466523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-5*(sqrt(85) + -2*sqrt(85)) - sqrt(85)) + sqrt(85) - sqrt(85)*-2*5)\/((sqrt(60)\/sqrt(4)*-3)\/sqrt(3)).\nAnswer: -5*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (17 - 6\/(-3)). Suppose -q - q = -4, 0 = 5*r - 4*q - 32. Calculate the least common multiple of r and (l\/10)\/(1\/10).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l + 75*i - 74*i + 37, -3*l - 2*i - 32 = 0 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of 7*q**5\/12 + q**4\/8 + 2*q**3\/3 + 28*q**2 - 1. Let b be i(-1). What is the greatest common factor of b and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*r - 262 + 9 - 113 = 0 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0022735 - -0.00805. Round f to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + sqrt(99)\/sqrt(81) + -1 + (2*2*(sqrt(11) + 0 - sqrt(11)))**2 + -5 + -3.\nAnswer: -9 + 4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -2*h + 1714, 318 = h - i - 536. Let s = h + -220. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 330 is divided by 31?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101111 - 11011?\nAnswer: -100001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllllllll. Give prob of picking 2 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-3\/4)\/(m*m*m\/(m\/m**(3\/11)))*m**(-4)*(m*(m**0\/m)\/m)\/m assuming m is positive.\nAnswer: m**(-397\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5 - 2\/5*f - 2\/5*f**2 + 2\/5*f**3.\nAnswer: 2*(f - 1)**2*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d**4 - 22*d**3 + 145*d**2 - 364*d + 236. Let o(h) = -7*h**4 - 44*h**3 + 289*h**2 - 727*h + 471. Let k(c) = 4*o(c) - 9*p(c). What is j in k(j) = 0?\nAnswer: 1, 4, 5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.6 (b) 620 (c) -2\/295 (d) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z - 4. Let s(l) = 4*l + 5. Let y(v) = -5*m(v) - 4*s(v). Let k be (-1*(-1 - 1))\/2. Let i(a) = -k + 1 + 2*a. Give i(y(t)).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 - -1101100000?\nAnswer: 1101011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -v**4\/9 + 25102436*v**3\/9 = 0.\nAnswer: 0, 25102436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19.56 + 1.27. Let l = 21 - h. Let v = l - 2.17. What is the third smallest value in v, -2\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 32*p + 9. Let n be s(3). Let g be 1050\/49 - (-3)\/(-7). Suppose 0 = -3*r + g + 84. Calculate the greatest common factor of r and n.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*k, -l + k + 1 + 4 = 0. Calculate the common denominator of (87\/30)\/(l\/10) and -87\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 498200 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 8, 2, -5, -2 in ascending order.\nAnswer: -5, -2, 0, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -290 + 301.08. Let j = c - 0.08. Let l = 14 - j. What is the closest to -1 in 0.1, -0.1, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**3 + 3*a + 2. Let j(z) = 2*z**3 - 2*z - 3. Suppose -12 = 3*o - u + 4*u, o - 2*u = 2. Let v(n) = o*d(n) - 3*j(n). Differentiate v(q) wrt q.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -104*o**2 + 625*o + 43. Give j(6).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41 or 174?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4009?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.3822428 months to years.\nAnswer: 0.1151869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17225468 greater than 17225467?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6182, 6105, 6012, 5903, 5778?\n\"Answer: -8*a**2 - 53*a + 6243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/2*(-96)\/(-56).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 + 0. Let b = 143.9 - 3.9. Let f = -144 + b. What is the nearest to 2\/7 in f, c, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 3*g**2 + 3*g - 4. Let j(a) = a**2 - a. Let k = -38 + 39. Calculate k*q(c) + 3*j(c).\nAnswer: c**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 749 divide 550515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = 5*z - 2*l, 4*l - 2 = 6. Suppose 38*m - 37*m = 31. Suppose 0 = -2*u + m + 13. What is the least common multiple of z and u?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 2 (b) -1 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 32\/5 of a century?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 7*x - 5. Let b(o) = o**2 - 7*o + 4. What is 5*b(w) + 4*u(w)?\nAnswer: w**2 - 7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**4 - 2181*o**2 - 4 + 4 + 2266*o**2 - o to the form d*o + q + v*o**2 + x*o**3 + p*o**4 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -7. Suppose -5*b - 16 = x*m, -m = -b + 6*b + 19. Let o = -7\/3 - -3. Which is smaller: o or m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o - 1. Let v be s(-5). Let x = -11 - v. Is (-1)\/x + 1268\/10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 165 - 170. Which is the fourth smallest value? (a) 2\/17 (b) o (c) -14 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(52) - (sqrt(13) + -4*1*sqrt(13))**2.\nAnswer: -117 - 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 124 and 1617518?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 72 = 2*x, -4*x - 107 = -2*g - g. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 9, -5, 0.1, -4.32, 16?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 + -0.6. Let p = -23 + 22.6. Which is the closest to -2\/9? (a) 4 (b) w (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -5*o - 2 + 21, -4*o = -5*h - 10. Let l(u) = -9*u - u**3 + 6*u**2 - o*u**2 + 4 - 6 - 11*u**2. Give l(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 102, 163, 224?\nAnswer: 285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, m: 15}. What is prob of picking 2 b and 1 m?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65 - 65. Suppose 3*a + 4*w - 72 = b, -a - 2*a + 2*w = -90. Let c = 133 + -63. Calculate the greatest common factor of c and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2506*g**3 - 2508*g**3 - 1155 + 572 + 106*g**2 + 583.\nAnswer: -2*g**3 + 106*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -66 + 33. Let d = p + 38. Let l = 163\/4 + -41. What is the closest to l in d, 3, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 35 = 5*a, 149*j - 3*a = 148*j + 21. Solve j = 2*r - 525 + 519 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 796*l**3 + 6*l - 9*l**2 + 2*l**2 + 2 - 795*l**3. Suppose -5*i + 22 = -4*w, 5*i - 2*w + w - 28 = 0. What is k(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 57. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3345, -15041, -1 in increasing order.\nAnswer: -15041, -3345, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/((-30)\/50 + (-4)\/10). Suppose -5*m - x*h + 134 = 0, 51 = 3*m - 5*h - 17. Calculate the highest common divisor of m and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1224737*k**4 + 362425*k.\nAnswer: 14696844*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 151b9 + 1?\nAnswer: 151ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -396*o + 91*o + 104*o + 76*o + 126*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1246354.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 5 + 4*p - 4 + 2*p**2 + 0 + 5. Let q be z(-5). Calculate the highest common divisor of q and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 3*r = -2232. What is the greatest common divisor of 62 and r?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 161106946, 161106945, 161106944?\nAnswer: 161106943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-2)\/3)\/(5 - 13461\/2691)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33062685.\nAnswer: 3, 5, 79, 27901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85, 165, 255, 361, 489, 645?\nAnswer: 835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((13 - 5) + -9)*5. Sort 9, 8, m.\nAnswer: m, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*f = -155*f + 416 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**4\/2 - 5619*k**3 + 19675916*k**2 - 20268890637*k + 40498440679\/2 = 0.\nAnswer: 1, 1831, 4703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 210 + -183. Suppose 5 = -w, 3*w = 3*z - a - 0. What is the nearest to -2\/3 in z, 7, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2201202220 + -11112?\nAnswer: -2201221102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 70 = 2*o + 3*o, w = -3*o + 42. Let q(u) = 5*u**3 - 2*u**2 - 41*u + 42. Let g be q(1). Sort -4, -1, o, g in increasing order.\nAnswer: -4, -1, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -1377*b**3 - 8*b**2 - 33*b - 17. Is f(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 2*b**4 + (-6*b**2 + 3*b**2 + 2*b**2)*(-b**2 - 5*b + 5*b) - 4*b**4 + 2*b**4 + 3*b**4 + 36*b**4 - 41*b + 20*b + 20*b.\nAnswer: 40*b**4 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27*((-26)\/2340*138)\/(-6*3\/(-30)).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -21 and -612\/29 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -96642 in increasing order.\nAnswer: -96642, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 - 28. Let g = l + 5. Let x = g - -4. Solve 3*j = 5*w - w + 8, x*j = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 32814916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 568 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 0 + 2 + 0 + -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 10 = 0, 4*c + 7*m - 1 = 9 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -398 * -3194.\nAnswer: 1271212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 - 74 - ((-2 - 10) + (115 - -7)).\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1176966 to the nearest 10000.\nAnswer: -1180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.60779 - 3.598. What is d rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1763)\/(-164)*(-64)\/5336 + (-15)\/345?\nAnswer: -5\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16532 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -146 + 1b9275?\nAnswer: 1b912d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45404*n**5 + 70*n**4 + n**3 + 55202153*n**2 wrt n.\nAnswer: -2724240*n**2 + 1680*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.8 + -18.8. Let u = 15 + j. Suppose 5*r - 1 = 8*r - 4*l, 4 = 4*r - 4*l. Is u bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 153\/(-187) - (-46)\/(-253). Which is the nearest to j? (a) -4 (b) 0.2 (c) -4\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.39 + -7.39. Which is the fourth biggest value? (a) 1.3 (b) -2 (c) 3 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of 3*n - 1\/6*n**3 + n**2 + 1\/12*n**4 + 0. Calculate u(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 7 = -5, 2*o - 15 = -5*b. Is 13251\/o - ((-32)\/20 - -1) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-6)*y**(-7))\/(y**(2\/3)*y)**(-3\/10))**(-5) assuming y is positive.\nAnswer: y**(125\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 306 = -419. Let y be (l\/(-1218))\/(1*-15). Which is greater: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 is divided by -1*1\/(-2)*10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 - -17255\nAnswer: 17255.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*v**2 + 4*v**2 + 4*v**2 + (-4*v**2 + 14*v**2 + v**2)*(-32 + 71 - 35) in the form f + x*v + d*v**2 and give d.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1464, 1468, 1474, 1482, 1492, 1504, 1518?\n\"Answer: f**2 + f + 1462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-18)*(-4)\/8\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/8 (b) 1\/7 (c) -4 (d) -5 (e) -4\/7 (f) -32.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 251220 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300993065?\nAnswer: 5, 23, 113797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**3*s**2 + 16*i**3*s + 2*i**2*s**3 - i*s**3 + 14*i wrt i?\nAnswer: -12*i*s**2 + 96*i*s + 4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 5*u**2 - 7*u. Let b be c(-6). Let l = 6 - b. Suppose l = w - 12 + 2. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 215 + -859\/4. Factor -i**2 + l*i**3 - 1\/2 + 5\/4*i.\nAnswer: (i - 2)*(i - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.047 * -2\nAnswer: -0.094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13976.283 - -13992. Let n = -0.017 + w. Let h = 1.3 + n. Is h at least -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 14)\/1 + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 19*z**2 + 2*z + 1. Suppose -3*u + u = -98. Let f = u - 47. What are the prime factors of n(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3332002\/8715 - -11\/2905. Let f = k + -382. Which is the nearest to -2? (a) f (b) -3 (c) -0.5 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1561816.6 rounded to the nearest 100000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -69 + 74. Suppose z = -5*i - 1571, 4*i - 2*z + 1787 = 519. Let q be ((-4)\/d)\/(9\/i). Calculate the highest common factor of q and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((1 - 0)*-17)\/(1\/(-9)). Suppose -a = -s + 47. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -3872 (c) -0.2 (d) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32154491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3 + l - 1 + 5. Suppose -z + 49 + 34 = 0. What is the remainder when z is divided by a(7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -2 + (-61 - -28 - -17)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 105933, 212368, 318803, 425238, 531673?\n\"Answer: 106435*t - 502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152405?\nAnswer: 5, 11, 17, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1660*o + 1047*o - 925*o.\nAnswer: 1782*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3 - 11 = 0. Suppose 6*m - q*m = -24. Let b be (-7684)\/m - (-1)\/3. Round b to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13814948 (base 10) to base 12\nAnswer: 4762918","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 2*k - 162480*k**2 - k**3 + k + 162431*k**2 to the form g*k**2 + w*k + l + p*k**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 3*r - 6. Suppose 2*x - r*x + 6 = 0. Solve 0 = 3*m - x + 21 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4177)\/(-2) + ((-91)\/(-14))\/(-13). Does 7 divide (-4)\/7 - (5 + t\/(-28))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -17*p**2 - 1 + 1 + 2 - 13*p. Let c(o) = 0 - 8*o**2 - 4 - 6*o + 7 - 2. What is 13*c(a) - 6*i(a)?\nAnswer: -2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -16. Let r(c) = c**3 - 2*c**2 + 2*c - 3. Does 4 divide r(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133528.\nAnswer: 2, 16691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.08 + -0.88. Let c = 28.6 - 23.6. What is the third biggest value in c, -2\/7, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from xxxxxxxxxppx.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - n + 5*x = -15, n = -5*x - 15. Let i(a) = n*a**2 - a**2 - 3*a + 3*a. Let u(s) = 2*s**2. Determine i(u(d)).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47037 + -103259. Let d = -56264.019 - q. Let y = d - -42. Round y to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181*a + 7548 = 34*a - 10082. Let r = 1 - -80. Is r <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -8*u**2. Let h(y) = -5*y**2 - 9*y - 9. Let k(i) = i**2 + 2*i + 2. Let f(l) = 2*h(l) + 9*k(l). Give f(g(t)).\nAnswer: -64*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -722 - -720. What is the second smallest value in q, -0.11, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(9\/(45\/(-20))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-1 - (-6 - -14)) + 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -1\/2 (c) -27 (d) 0.1 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 495, 1008, 1533, 2076, 2643, 3240, 3873?\n\"Answer: l**3 + 506*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.22 + -0.1. Let i = y - 1.22. Which is the fourth biggest value? (a) 1 (b) i (c) -0.2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 6*n**2 - 3 - n**3 + 0 + 12*n**3 + 5*n**3 in the form c*n**2 + z + l*n + q*n**3 and give q.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h. Let b(f) be the third derivative of f**5\/30 - f**3\/6 - 6*f**2. Let k(p) be the first derivative of b(p). What is w(k(g))?\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/150 and -9\/200.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.16? (a) -0.5 (b) 5 (c) 1\/4 (d) 1.3101 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181389 + 48009 = 40*g - 50*g. Is g a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -8, 2\/955?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/30 - (778\/44 - 2\/11)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45644 rounded to the nearest one thousand?\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 5*p + 300, n + 4*p - 61 - 14 = 0. Is 25 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 2*h = 5, q + 2*h + 1 + 0 = 0. Let u be 0*q\/(-3 + 1). Solve u*r - 10 = 2*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/5 - (-6)\/10. Suppose -q*y + 7*y - 60 = 0. Let r(g) = 7*g**2 + 4*g + 2. Calculate the remainder when r(-2) is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 51 + 2*i - 139)*(-i**4 + 2*i**4 - 2*i**4).\nAnswer: i**5 + 88*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 354978 and 68265?\nAnswer: 1774890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppgppgg. Give prob of sequence pgpp.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 444\/16*5\/(-15) and -21\/11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52847457 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 245803?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 164*b - 9359. Give r(57).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 14 (b) 0.0029 (c) -1 (d) -4 (e) 4\/145\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 7:46 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -59.9094 to the nearest integer.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eqie when four letters picked without replacement from eeqeeieieiiiie?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1107 - -86347\/78. Is j greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (104 - 104) + 5 + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -0.5 (b) -0.2 (c) -2\/13 (d) -1\/42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -3.8. Let z = -0.09 - 4.91. What is the third biggest value in z, b, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 (base 9) in base 8?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -17 (b) 107 (c) 3 (d) 9\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 8*o**2 + 71*o - 410. What is the thousands digit of w(39)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -2 - (40 - 43)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -71.\nAnswer: 35.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -890 - 2*c**4 + 2*c**3 + 890 - 12*c**2 - 2*c**4 to d*c + x*c**3 + p*c**2 + y*c**4 + v and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5108*o + 2544*o + 2566*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 3*r. Let h(w) be the third derivative of 0*w + 0*w**3 + r + 1\/20*w**5 + 1\/40*w**6 + 3*w**2 + 0*w**4. Find the third derivative of h(l) wrt l.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8366 is divided by 106.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(5\/2)\/v)\/((v*v**5)\/v))\/(v\/(v*v**(-2\/19))*v**(-4\/3)\/v) assuming v is positive.\nAnswer: v**(-145\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 154 - 113. What are the prime factors of d?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(2736) + 1)**2*-1 + -1*(sqrt(2736) + 1)**2 + (sqrt(2736) - 2*(sqrt(2736) - (sqrt(2736) + 2))).\nAnswer: -5472 - 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k + 2*j + 89, -3*k - 3643 = -j - 3548 for k.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 77*w + 95*w - 166*w + 0.\nAnswer: 6*w - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/5*300\/(-50)*4\/6.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*p + 192 - 28. Suppose -5*m = -5*f - 365, p*m - 195 - 102 = -f. Calculate the lowest common multiple of m and 6.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*s + 62*s - t = 141, s - 2*t - 6 = 0 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 2\/805, 2\/5, 0.6, 1\/8?\nAnswer: 2\/805","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/11, -6.6, -1286\/5?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2695 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 5:45 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 552 + -84. Let i = 474 - k. Solve i*a = 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2+29.9\nAnswer: 31.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3*i**2 + 11. Let y(k) = -2*k**2 - 5. Let h(t) = 3*f(t) + 5*y(t). What is the remainder when h(0) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70413 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s + 7. Let j be i(-5). Suppose 3*f + c - 5*c = 25, -2*c - 16 = -j*f. Solve 5*r = 2*k - f, k + 6 + 4 = -2*r for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**1)**(-2\/67)*((j\/((j*j**0*j)\/j))\/j)\/j**(-1\/9))**(3\/8))**(-2\/99) assuming j is positive.\nAnswer: j**(277\/39798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3878897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7, 14, 77, 200, 401, 698, 1109?\n\"Answer: 3*d**3 + 3*d**2 - 9*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 9 - 33*q**3 + 8*q**2 - 2*q + 10*q + 34*q**3. Let p be i(-7). Let c be (-7)\/(-4) - (-3)\/12. Solve -p = -h + c*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of 43*q**7\/210 + 11*q**6\/120 - q**5\/30 - 43*q**4\/12 + q**3 - 13*q**2 + 157. What is the second derivative of f(c) wrt c?\nAnswer: 516*c**2 + 66*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/1292885 or 0?\nAnswer: 1\/1292885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11304 + 150\/((-120)\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203416 = 40*f - 32*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -q**5\/30 + 4*q**2 - 25. Let w(f) = f**2 - f + 1. Let k(l) = 3*l**2 - 2*l + 2. Let z(s) = -k(s) + 2*w(s). Calculate i(z(o)).\nAnswer: -2*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 76343 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 12:57 AM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + -5)*1 - (-12 - 0). Suppose -l*o - 9*o = -6096. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-28)\/(4984\/445))\/((-10)\/4))\/((-167)\/2)?\nAnswer: -2\/167","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-326)\/(-8) - 1\/(-4). Let z = b - 201\/5. Sort -5, 5, z in increasing order.\nAnswer: -5, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1698 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**2 + 4*v - 3. Let p be w(2). Let d(s) = -s**3 - 3*s**2 - 2*s - 4. Let u be d(p). Let 8\/7 + 2\/7*n**u - 8\/7*n = 0. What is n?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.7 times 3014?\nAnswer: -35263.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/58 and -17\/280546?\nAnswer: 280546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-72)\/154 + (-4)\/(-14)*1. Which is the second biggest value? (a) 0.14 (b) o (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 (base 9) in base 11?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3598 - 21691\/6. Calculate the common denominator of y and 109\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -177 divided by 3.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/(-5)*3\/9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -10*w**2 - 6*w**2 + 5*w**2. Let n(t) be the third derivative of -t**5\/60 + t**2. Give n(j(y)).\nAnswer: -121*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 24 = 4*y, 5*z + y + 27 - 3 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4642 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t**2 + 12*t - 46. Is j(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1909*h = 1260*h - 115405 - 27200 for h.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3257475 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from orroeprorggrr. Give prob of picking 2 g.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -0*b + 3*b - 114, i - 50 = -4*b. Suppose -2*g = s + 2 + 5, -3*s + i = -5*g. Let x = s + 1. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8771 - 8771 - 34644*c**3.\nAnswer: -34644*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2*h**4\/7 + 3470*h**3\/7 - 11014*h**2 + 52710*h = 0?\nAnswer: -1757, 0, 7, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/2 and 123\/322.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*i**2*x - i**2 + 14*i*x - 5*i + 2030*x + 1 wrt i?\nAnswer: 6*i*x - 2*i + 14*x - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((12\/5)\/(-4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/9, -5, -0.3, 4, -4\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1276647 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/8? (a) -1\/4 (b) 1 (c) 0.2 (d) 54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -13*z**3 - z**2 - z. Let w be b(-1). Suppose 2*j + 773 = 779, h + 3*j = 17. Find the first derivative of -w + 30*m - h*m + 3*m wrt m.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -444 and -8.\nAnswer: 3552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2145425 (base 8) to base 9.\nAnswer: -1067447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -58586845 and -58586845 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*g - 15 - 19, 21 = 2*g + s. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 5:43 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2 + 4 + -7 - -68 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-4) - (-11)\/4. Suppose u + 3 = 3*f. Suppose 5*j - j - 3*k - 17 = 0, 4*k = 4*j - 16. Solve 5*z + 25 = d, j = -d + f*d for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**5 - 5*l**5 - l**5 + (-2*l**4 + 2*l**4 - l**4)*(l + 3*l - 5*l) - 78*l**5 + 45*l**3 - 45*l**3.\nAnswer: -82*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21921 - -22803. Solve h - 903 = 7*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 7*t - 3*t - 3*y, -10 = 2*t + 3*y. Which is the closest to -0.1? (a) 103 (b) 5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 83 = 3*y - 4, -4*p + 3*y = -102. Suppose -2*k - 6*g + p = -3*g, 3*k + 2 = 4*g. Sort 2, k, 1.\nAnswer: 1, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 1:56 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -98 times -0.62?\nAnswer: 60.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 2*n + 3*h, -3*h - 11 = n - 2*h. What is the units digit of (-1 + (-1498)\/(-6))\/((-8)\/n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 781 is divided by 87.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8.51 or -2?\nAnswer: 8.51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 64428.41l in millilitres?\nAnswer: 64428410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39 - 34. Suppose p = 5*h + 42, 0*p - 264 = -b*p - 2*h. Let u = p + 17. What are the prime factors of u?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.432 - -77.\nAnswer: 71.568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 = 86?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 60, 44 in increasing order.\nAnswer: 2, 44, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -v + 356 - 285, -2*v - 5*a + 106 = 0. Calculate the remainder when 95 is divided by v.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 283 divide 88013?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vwbtfbf. What is prob of sequence wt?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 766, 1526, 2286, 3046, 3806?\n\"Answer: 760*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -433 (base 5) to base 6.\nAnswer: -314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 16*r**2 - 20*r + 36. Calculate the remainder when 514 is divided by h(-17).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -2*k**2 + 6 + 1\/2*k**4 + 0*k + k**3. Let f(o) = o**3 + 2*o**2 - 2*o. Determine -7*f(c) + 4*j(c).\nAnswer: c**3 - 2*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 21.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 366*0.1\nAnswer: 36.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -425 + 445. Is 20 at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 4*r - 4. Let z(t) = t**3 - 12*t**2 + 5*t + 7. Let y be z(11). Let s = y + 101. Let c = s - 36. What is g(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 434*f - 2659 = 433*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, d: 1}. What is prob of picking 1 d and 1 t?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 905 - 727. Calculate the greatest common factor of s and 445.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11247 and 276?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31616 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b**2 - 4*b**2 + 2*b**2)*(1131 - 336*b**2 - 1131) in the form y*b**2 + j*b**3 + a*b**4 + h*b + s and give a.\nAnswer: 1008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -5*r + 1. Determine w(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 20*u + 149. Determine p(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2011 + 71*z - 2170 + 4181.\nAnswer: 71*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 289 and 881790.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 18\/19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 0. Let v(u) = -12 - 14302*u**3 + 2*u + 0 + 14303*u**3 - 4*u**2. Let y be v(4). What is the nearest to -0.1 in d, y, -1\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eoeuvoemuvreoo. What is prob of sequence erev?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-1*2*sqrt(1280))**2 + ((3*sqrt(180))\/sqrt(9) - (sqrt(20) + -2 + 0)))*-4.\nAnswer: -81928 - 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -83 - -85. Factor 9\/2*k**2 + 0 - k - 6*k**3 + b*k**4.\nAnswer: k*(k - 2)*(2*k - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 238 and 119.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*z - 2682 = 0, 5*q - 9327 + 2688 = -4*z. Calculate the greatest common factor of q and 275.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 8*a + 9. Let l be m(9). Suppose -3*p - 5*n = 28, n + l*n = -5. Suppose 0 = 113*d - 108*d - 20. Put 2, p, d in increasing order.\nAnswer: p, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + q**3 + 0)*(2*q - 5*q + q)*(1 + 2 + 0).\nAnswer: -6*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2265 + 3677.5.\nAnswer: 1412.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4998 and 153.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -201*j**2 + 51*j + 51. Let m(o) = 40 + 0*o - 2*o - 18 - 235*o**2 - 24 + 243*o**2. Calculate -153*m(d) - 6*t(d).\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 126275940?\nAnswer: 252551880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 35*b**2 + 4*b - 2648. Let t(s) = 4*s**3 + 159*s**2 + 18*s - 10591. What is -9*o(m) + 2*t(m)?\nAnswer: -m**3 + 3*m**2 + 2650","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 104\/(-988) - 8424\/114\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-3)*4)\/((-40)\/60)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)*4*4*4)\/((4*sqrt(150)\/sqrt(5))\/sqrt(5)).\nAnswer: 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 13*u**4\/12 + 19*u**3\/6 - 2*u**2 + 20. What are the prime factors of t(13)?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m = 3*i - 67, -2*i - 55*m + 18 = -51*m for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (50\/(-5) - 0) + 2. Let l(w) = 17*w + 1. Let i be l(1). Let k = i + v. Solve -k + 26 = 4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -4*t**2 - 12*t - 8. Let g be k(-2). Solve g = 4*c + 53 - 49 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 0.06 (c) -21\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - -30) + 0 + (-268 - -277). Solve -37*h = 38 + g for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -255 and -253 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uqu when three letters picked without replacement from uqqquuq?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of c**5\/15 - 7*c**4\/24 - 19*c**3\/3 + 146*c**2. Let n be b(5). Sort 0.2, n, -2\/3, 0 in descending order.\nAnswer: n, 0.2, 0, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - p + 5*p = 28, -3*n - p = 5. Let r(g) = 0 + 2*g**3 - g**3 - 1 + 3*g**2 + g. Determine r(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -20*n + 145. Give g(6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + 3*u - u**2 + 4 - u**2. Suppose 223*k - 1605 = -103*k - 627. What is d(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - (2*sqrt(132)*-1 + sqrt(132))) + sqrt(132))\/(2*sqrt(108)) + 5 + (5*1*(0 + sqrt(11)) + -3 + -2)**2.\nAnswer: -99*sqrt(11)\/2 + 305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 141327?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 5*a - 8. Let j be k(-3). What is the units digit of j\/(-13) + 11365\/65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4185 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 r when two letters picked without replacement from {v: 1, r: 2, x: 4, e: 4}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, s: 1, j: 7}. What is prob of picking 1 s and 1 j?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21535 - 63348 = -29*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 = 10*p + 266. Let o(s) = 29*s**2 + 6*s. Let z(y) = 28*y**2 + 5*y. Give p*o(b) + 6*z(b).\nAnswer: 23*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11832451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(-v - 2*v + 0*v)*(-1 + 1 + 1).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -9*h + h**2 + 0 + 11\/12*h**4 - 5\/3*h**3 - 1\/20*h**5. Let x be b(10). Solve -x = -4*j + 14 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50 + 9 - 30)*(32*f**2 + 53*f**2 + f**2).\nAnswer: -6106*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1 + sqrt(19)*4.\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 88 = -23*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/5)\/(11\/55). What is the third derivative of 15*j**2 - 6*j**3 - 26*j**h + 18*j**2 wrt j?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1806576141 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -32*(69\/24 - 3)*-6. Let c = -49\/2 - b. What is the nearest to c in 1\/6, 3, 2\/7?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 2:20 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 6*u**2 + 7*u - 8. Calculate the remainder when b(6) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 6 (b) -2\/19 (c) 1\/10 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.545 to one dp.\nAnswer: 14.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(1\/4))**(-6))**(-2\/61)\/((t*(((t**0*t*t)\/t*t)\/t)\/t)**(36\/5)*t**2\/t*t**(2\/3)) assuming t is positive.\nAnswer: t**(-7888\/915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3223666 is divided by 315.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.175 + 88.08?\nAnswer: 91.255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5*10\/(-200)*(-24)\/7. What is the smallest value in 2\/5, -1\/104, i?\nAnswer: -1\/104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 + 31. Let f(q) = 4*q - 20. Let t be f(6). Suppose -2*s = 5*z + 12, 5*s + 3*z - 4 - t = 0. Solve -12 = -5*h - 0*h - s*i, -3*h - i = -m for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5070*-0.3\nAnswer: 1521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (-4 - -5) - ((-18 - -103) + (-63 - -61))?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 2 - 5 - 47*z + 32*z.\nAnswer: -15*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*l + 5*l - 6*l)*(118 + 28 + 30 - 29 + 97 - 4 - 2 + 7 + (-2 - 2 + 6)*(2 - 4 + 1) - 2 + 0 + 1) to g + u*l and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 320?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43650?\nAnswer: 2, 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -y**5\/60 + 3*y**4\/4 + 20*y**3\/3 - 13*y**2. Let x be g(20). Suppose x = -10*o - 0*o + 470. List the prime factors of o.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**4*j + 41*d**4 + 6*d**2*j - 12*j wrt d?\nAnswer: -48*d*j + 984*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -123035?\nAnswer: -123042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1905320 is divided by 136091?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10.8 + 10.907. Let m = 1650 + -1650.0987. Let x = b + m. Round x to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/29 or -137034?\nAnswer: -137034","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -30. Suppose y = -4*v + 121. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 626423923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3366 and 3422100?\nAnswer: 10266300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -28001289 divided by -61813?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 3*l - 3 + 20, -3*d - l - 2 = 0. Is (15 + -18)*d*14622\/(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(256)*1 + sqrt(16) + -1*sqrt(1936))\/(sqrt(8) - (sqrt(64) + -2*sqrt(64))\/sqrt(8) - sqrt(8) - sqrt(48)\/(sqrt(6) + sqrt(24)\/sqrt(4))) + -4.\nAnswer: -12*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2391191064 to the power of 1\/2, to the nearest integer?\nAnswer: 48900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -55*q**2. Let h(u) = 2*u + 17*u**2 + 7*u + 13 + 7 - 2. Let k(l) = 4*l**2 + 2*l + 4. Let w(f) = 2*h(f) - 9*k(f). Give w(x(g)).\nAnswer: -6050*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.00235 + 0.3\nAnswer: 0.30235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -45324*d**2*k*l - 8*d*k*l - 2*d*l - 96*d - 3*k + 2*l wrt d.\nAnswer: -90648*k*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -5*t + 26. Let i = t - -11. What is the highest common factor of i and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -359008 in decreasing order.\nAnswer: 5, 3, -359008","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 1520 = -2*w. Suppose -l - w = -0*l. Let s = l + 693. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-2.081\nAnswer: -0.6243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -318, -636, -954?\n\"Answer: -318*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -404444 times 1?\nAnswer: -404444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39.6 + 42.6. Put c, 31, 4, -0.4 in ascending order.\nAnswer: -0.4, c, 4, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 2*c**2. Let p be y(-2). Let l be (-1 - p)\/(3\/(-24)). Calculate the greatest common divisor of l and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 182*v**2 + 19*v + 180. What is the thousands digit of c(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32820068381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-11 - (-14 + -3 + 3) - 11).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-22)\/4 + 2)*-26. Let d = a - 19. Suppose d = 3*r + r. Calculate the lowest common multiple of r and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1)**(-13\/3))**32 assuming f is positive.\nAnswer: f**(-416\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2224744.24172 + -0.048?\nAnswer: -2224744.28972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5*x = 759, -6*x + 2*x - 236 = -t. Let o = -218 + t. Solve -29*k + o*k = -2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -4. Suppose 2*q + 13 = 41. What is the remainder when q is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + -3)\/(1\/(-2)). Suppose -4*v + 7 = v - x*g, -3*v - 5*g - 18 = 0. Is (-4 + -369)\/(-2 - v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 59*i**2 - 2*i. Let d(y) = 178*y**2. Give t(d(q)).\nAnswer: 1869356*q**4 - 356*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*h + 2*h - 7*h. Solve h = -4*w + 15 + 1, -2*w = -d - 7 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1568 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2787 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**4\/4 - 14*f**3 + 255*f**2\/4 = 0.\nAnswer: 0, 5, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1142 - -1153. Solve 7*c = j*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(637) + sqrt(637) + (sqrt(637) - (-1 + sqrt(637))) + 5 - sqrt(637)) + sqrt(637) + sqrt(637) + -1 + sqrt(637) + 1)**2.\nAnswer: -51140 - 1680*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.3 + -32.7. Let a = 34.00227 + k. Round a to 4 decimal places.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2838 is divided by 108.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 108739\/35504 + -1\/4438. Find the common denominator of y and 63\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kxkkkxkkkx. What is prob of sequence xxkk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 260? (a) 2\/5 (b) -2\/15 (c) 1.9 (d) 25\/2 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 2497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -10\/19, -1?\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*g + 101 + 50 = -89 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 179300.1 decades?\nAnswer: 1793.001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 10*z + 1. Let h be t(-7). Let y = 35 + h. Calculate the remainder when 58 is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 408 + -437 + 37 + 18\/6\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32121554.\nAnswer: 2, 16060777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**3 + 3*p + 13486. List the prime factors of q(0).\nAnswer: 2, 11, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000044700352 rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -33 + 20 + 2 + 10. Let n(i) = i**3 + 6*i**2 + 6. Let o be n(-6). Let h(g) = -g + 4. Give o*m(b) + h(b).\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -605931015*v**2 + 1322191313*v wrt v.\nAnswer: -1211862030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (45\/285)\/(6\/4). Which is the second biggest value? (a) u (b) 0.3 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3754 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38181*y + 18496*y - 75166*y + 18493*y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 16*g**3 + 2*g**2 - 15*g. Let n(s) = -16*s**3 - 3*s**2 + 17*s. What is -6*k(u) - 5*n(u)?\nAnswer: -16*u**3 + 3*u**2 + 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7279 - 7224. What is the third biggest value in -0.1, 6, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.23 - -0.03. Let b = -3 + 0. Let i = 7.3 + -7. What is the nearest to 0 in b, r, i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x + 1. Let v = 6 + 4. Let i(t) = -2*t**2 - 2*t + 11. Let r be i(-4). Let a = v + r. Let o(z) = 2*z + 3. What is a*j(q) + o(q)?\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f - 15, -3 = -4*i + 312*f - 315*f for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1*(sqrt(9)\/sqrt(3) - sqrt(3))**2*-4*-1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = g - 6*g. Suppose 6*o + g = o. Let s = -5 - o. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5, 14, 35, 74, 137, 230, 359, 530?\n\"Answer: i**3 + 2*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -21*w + 12. Let d be s(-3). Let -20 + 90*z**2 - 48*z - d*z**3 + 44 + 156*z = 0. Calculate z.\nAnswer: -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1365 - 214*q + 83*q + 67*q + 63*q.\nAnswer: -q - 1365","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - 8452*d - 118149. Give c(-14).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -78 - -230342?\nAnswer: 230253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (301 - 581 + 314*z**4 + 288)*(-3*z + 0*z + z).\nAnswer: -628*z**5 - 16*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -129642 divided by 51?\nAnswer: -2542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1081875.\nAnswer: 3, 5, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 332 a factor of 107631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 197\/25080 and 44\/1413.\nAnswer: 11812680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23*l + 2*l**4 - 21998*l**5 + 22129*l**5 - 2*l**4 wrt l?\nAnswer: 2620*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 567, 4840, 16435, 39012, 76231?\n\"Answer: 610*f**3 + f**2 - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 20*i**3 + 119208*i**2 + 643180*i + 238200 = 0.\nAnswer: -5955, -5, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 26*n**3 + 4*n**2 + 4*n + 4. Let z(t) = 77*t**3 + 11*t**2 + 11*t + 11. Give -11*k(b) + 4*z(b).\nAnswer: 22*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 734 > 693?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (33\/12 - 3) + 5\/100. What is the third smallest value in 4\/7, -0.4, v, 3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.046 (b) -10.3 (c) -5\/4 (d) -5 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1240667 is divided by 82711.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -4*h + 131. Let p = -16 - -76. Calculate the highest common factor of h and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in -4, 5, -2\/13, 2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p - 1. Let a(z) = -z + 1. Let v(d) = -10*a(d) - 6*m(d). Suppose 0 = 4*l - 65 + 21. Suppose 3*h = 2 - l. Calculate v(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3542 and -0.3.\nAnswer: 3541.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a meter in centimeters?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -2. Suppose -12 - 57 = -23*h. Solve 11 = -5*o - t, d = -h*o + t + 3 - 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 4*c + 10 = -c, 8 = -2*a + 5*c. Let g = 3 + -2.9. Which is bigger: g or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2748*c**2 + 163*c + 5. Let u(h) = -8*h. Calculate l(u(v)).\nAnswer: -175872*v**2 - 1304*v + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -120*h + 138*h - 987 + 87 for h.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u**2 - 2*u**2 - 3*u**2)*(44*u - 44*u + 95*u**2) + 3*u**4 + 2*u - 2*u in the form x + s*u + l*u**2 + z*u**3 + a*u**4 and give a.\nAnswer: -567","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087981751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11085603679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -53341, -53325, -53297, -53251, -53181?\n\"Answer: a**3 + 9*a - 53351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**2)**36\/(h\/(h\/(h**12\/h))*h\/((((h**(-2\/19)\/h)\/h*h)\/h)\/h*h)))**(-1\/54) assuming h is positive.\nAnswer: h**(-892\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 109*i**2 - 24*i + 33. What are the prime factors of k(3)?\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 6 = 0, 5*u = -2*p + 36 - 9. Suppose -p*g + 2*g + 8 = 0, -w + 3*g = 1. Solve h = 3*c + w, -h + c = 6*c + 11 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/((-2)\/(-712))*((-5131)\/28 - -6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - 4*p + 2*p)*(p**3 + 114*p + 2*p**4 + 2*p**3 - 2*p**3).\nAnswer: 4*p**5 + 2*p**4 + 228*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-162)*-18*6?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*x**5\/4 - 405375*x**4\/4 + 1657185071*x**3\/4 - 112423927665*x**2\/4 - 66287403*x + 4496959701 = 0. Calculate x.\nAnswer: -2\/5, 2\/5, 69, 8073","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4699 and 1638173.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 3, -13, -6 in increasing order.\nAnswer: -13, -6, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h - 2. Let s(l) = -9*l - 30. Let w be s(-4). Suppose 0 = -7*j + w*j + 3. Give b(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4, 5, 72, 239, 548?\n\"Answer: 7*n**3 - 13*n**2 - n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.01777 rounded to the nearest integer?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from axgbxbagtkttagb. Give prob of sequence tg.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**4\/9 + 4*j**3\/3 - 2*j**2 - 8*j\/9 + 8\/3 = 0 for j.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*q - 84*q + 13*q - 64*q**2 + 21*q + 22*q.\nAnswer: -64*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 (base 15) in base 14?\nAnswer: -6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16\/70515 or 0?\nAnswer: -16\/70515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2. Let x(y) be the first derivative of -11*y**5\/30 - y**2 - 3*y + 80. Let d(c) be the second derivative of x(c). Calculate r(d(n)).\nAnswer: 968*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4243251 (base 6) to base 14.\nAnswer: 55bb1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24\/1993 + 5136081\/9965. Let r = i - 513. Determine f, given that 2\/5*f**5 - 4\/5 + 28\/5*f**3 - 32\/5*f**2 + 18\/5*f - r*f**4 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 336*j + 4690. Let g(o) = -112*o - 1564. Let a(h) = -7*g(h) - 2*t(h). Factor a(w).\nAnswer: 2*(w + 28)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of 21*k + 2 + 0*k**2 + 0*k**3 - 5\/4*k**4. Let o(f) = f**2. What is l(o(p))?\nAnswer: -15*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -149*g + 151*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/(-4)*4\/(-2). Suppose -3 = 2*v - z, -g - 4*v = -20. Put 5, g, 2 in decreasing order.\nAnswer: g, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/1150 and -71\/103040.\nAnswer: 515200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 29 = -29 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16656859\/123 + 135423. Let a = k - 2\/41. Suppose 4\/3*s**2 - 2*s**5 + 16\/9*s**3 - a*s**4 + 2\/9*s + 0 = 0. What is s?\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/7*h**3 + 0 + 2\/7*h**4 + 2\/7*h**5 + 0*h - 2\/7*h**2 = 0. Calculate h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 22837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1558496457770 - 0.1.\nAnswer: 1558496457769.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010 - 1000010010010110?\nAnswer: -1000010001110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-135)\/81)\/((15\/(-612))\/((-2)\/(-4)*1))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 768 by -8.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 = -k - 99. Determine t, given that 7*t + 3*t + 0*t - 5*t**k - 5 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 7*j + 9*j - 6*j)*(-13 + 13 + 10) - 5 - j + 5.\nAnswer: -41*j + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 6*q**3 + 4*q**2 - 2*q - 1. What is s(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*n**4 + 27*n*r**2 - 103*r**2 with respect to n.\nAnswer: -8*n**3 + 27*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2914.4403 nanoseconds to hours.\nAnswer: 0.00000000080956675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 168080 and 3960.\nAnswer: 1512720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 5804806 = 8895144. Suppose 4*v - 3*p - 3919975 = -8*p, -3*v + h = 2*p. Round v to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 x when four letters picked without replacement from bbbbbqbqbbbxxbbxqbb?\nAnswer: 143\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -107*m**2*p**2 - 4*m*p**2 - 2*m - 18*p**2 - 6*p + 1 wrt m.\nAnswer: -214*m*p**2 - 4*p**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -71487, -113954, -156421?\n\"Answer: -42467*w - 29020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8115836 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 45 + 20 - 3*f + 4*f in the form y*f + x and give x.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-182)*-238*86\/14620\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 10:34 PM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-798))\/(4*4\/(-56)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.814956 rounded to zero dps?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 6*y - 0*y. Let r(f) = -6*f**3 - 2*f**2 + 4. Let t(k) = -3*k**3 - k**2 + 2. Give y*r(o) - 7*t(o).\nAnswer: -3*o**3 - o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2688 = -323*h + 540*h - 281*h for h.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -0.9, 0.5, 1\/3?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5*3960\nAnswer: -19800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -32\/8893 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-195 + 195 - 9*x)*(1 - 4 - 7).\nAnswer: 90*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -2 - (44 + -4)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a + 19017?\nAnswer: 19008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 255 and 102.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssl when three letters picked without replacement from jjjjjjlsslsjjlssjlj.\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34901 + 54891. What is the thousands digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 7*w**2 - 7*w - 3. Let z(g) = 4*g + 18. Let b be z(-6). Let v be l(b). Solve 4 = x + v*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10012001011212 (base 3) to base 2\nAnswer: -110011101011110011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y**4\/7 + 8040945*y**3\/7 + 2010228*y**2 - 14071647*y\/7 - 20102310\/7 = 0 for y.\nAnswer: -670077, -2, -1, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 100 - -14225476?\nAnswer: 14225576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234040 is divided by 1147.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r + r - 2*r)*(-2 + 5 - 2) + 0 + 7 - 21*r + 20*r to the form s*r + l and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/10)\/((1344\/(-60))\/16)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 801, -4\/7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -32 divided by 15\nAnswer: -32\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 460 and 241.3?\nAnswer: 218.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of 5*n**5\/12 + 7*n**4\/24 + 7*n**3\/6 - n**2 + 1. Let g = -153 + 146. Let b(c) = -17*c**2 - 5*c - 5. Calculate g*b(l) - 5*y(l).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1568086 + w**3 - 3*w**3 - 3*w**2 + 1568099 + 2*w to c*w**3 + z*w + l + m*w**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -3. Let h be (4\/6)\/(3 - 1). Put h, 1\/2, f in descending order.\nAnswer: 1\/2, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4845199 divided by -32.\nAnswer: 4845199\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -66 - -62. What is the second smallest value in w, 1\/14, -2, 1\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - 3.6801425104\nAnswer: -3.2801425104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y - 3*j - 11, 2*j - 6*j = 4*y + 28 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 641378 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5609*y - 5606*y - 61 = -5*g, g - 4*y = -43 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 568036 a multiple of 268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a century in months?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 2, -3, -1, -94?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 85 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2393 + -2388 - (-1 - -20)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4201916413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 y when three letters picked without replacement from {g: 7, y: 6, j: 5, o: 1}.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 12\/4)\/14?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -271 + 276. Find the third derivative of 19044 - 96*b**6 + 7*b - u*b**2 - 19044 wrt b.\nAnswer: -11520*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j - 2. Let n(m) = m - 3. Let b(w) = -5*a(w) + 4*n(w). Let s(f) = f**3 + 13*f**2 + f + 8. Let x be s(-13). Let v be b(x). Solve 5 = -v*y - 4 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + sqrt(72)*1 + sqrt(72))*1 - (-5 + sqrt(24)\/(2*sqrt(12))) - -6*((2 + -1 + sqrt(18) - sqrt(18)) + sqrt(1800) + 0))**2.\nAnswer: 4345*sqrt(2) + 156267\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1920 + 1920.47. What is the third smallest value in 0.4, n, 0.07?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 472201 is divided by 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -937, -1879, -2821, -3763?\nAnswer: -4705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.011 - -2.011. What is the third biggest value in 49, -1, w, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2094957 and 41?\nAnswer: 2094916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dbdbbbb. Give prob of sequence bdd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52 by -13.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 303*l + 39 = -307*l, 3*l + 28 = 2*d. Solve -3*h = d*m - 13, 5*h - m + 1 = 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 13*s**2 - 13*s + 18. Calculate the remainder when 10 is divided by f(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*m - 60*m. Suppose 3*b - 17 + 41 = 0. Sort m, 1\/3, b in decreasing order.\nAnswer: 1\/3, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78 (base 14) to base 8.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 558.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -5*b + 609304, 0 = -g - 14*b + 10*b + 304649. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h, 1 i, and 1 x when four letters picked without replacement from {i: 1, x: 6, m: 3, h: 3}?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 83792 + -34994. What is the thousands digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*o**5 - 10722*o**4 - 25958*o**3 - 19950*o**2 - 4664*o = 0. What is o?\nAnswer: -212, -1, -11\/25, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.00223 and -1?\nAnswer: 2.00223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199*n + 185*n = 42. Let t = -13 - -8. What is the nearest to -0.1 in t, 0.2, n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5430, -5429, -5428, -5427, -5426, -5425?\nAnswer: -5424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1496 and 99587224?\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/42 - (-2)\/(-12). Suppose a = -11*q + 5*q + 66. Calculate the remainder when 152 is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1452, 5789, 13018, 23139, 36152, 52057, 70854?\n\"Answer: 1446*r**2 - r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -81 - -84. Suppose -j = -p*q - 3 - 31, -87 = -3*j + 4*q. Suppose -j = -s + 3*s - n, s + 3*n = -2. Is s at least as big as -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1569120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*d - 5*d + 8*d)*(d - d + d)*(5*d**2 + d**2 - 5*d**2).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3698 = -2351*l - 74052 - 90977 + 32026 for l.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 466719?\nAnswer: 3, 11, 14143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9190 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**2 + 23*c - 53. Determine s(10).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/1503 and -65\/1002.\nAnswer: 3006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 450*l + 341*l - 852*l.\nAnswer: -61*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w + 124 + 10*w - 4*w - 29. Let b be t(0). What is the greatest common divisor of b and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**3 + 14*x**2 - 3*x + 4. Let t be f(-7). Solve p + t = 6*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1634*k + 35183 - 35183)*(1 + 0 - 4).\nAnswer: -4902*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 703220683?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 10*n - 50. Let i be l(-14). Suppose -713 = -i*d + 79. Is d a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one quarter of a day?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 29, -4, -73, -178, -319?\nAnswer: -496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6385427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 4*k + 5. Suppose -344 = 180*i - 184*i. Let y(a) = -40*a + i*a - 43*a. Give y(o(u)).\nAnswer: 12*u + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -5)*(-1)\/((-6)\/9).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53363433, -53363454, -53363491, -53363550, -53363637?\nAnswer: -53363758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/3, -0.2, 30?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -144.916 - 0.084. Let y = -145.4 - z. Sort -3, y, 5 in increasing order.\nAnswer: -3, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -1 + 0*s + 3*s**2 + 3 + 3*s + s - 48*s**3. Is l(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 324929 to the nearest integer?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.3444 - 57731.3444. Let h = -57780.637 - b. Let j = -0.463 + h. Round j to 0 decimal places.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**2*j**2 + a**2*p + 2*a*j**2 - 88*a*j*p - 11303*a*p + 2*j with respect to j.\nAnswer: -4*a**2*j + 4*a*j - 88*a*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -3. Calculate the lowest common multiple of 19 + (-1 - (-4)\/w) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 130*h - 1052 - 118 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92, -144, -196, -248, -300, -352?\nAnswer: -404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*l - 28*l**2 - 764 + 2625 + 45*l + 38*l.\nAnswer: -28*l**2 + 1861","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7569 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -6*d**2 + 1488*d - 38104. Give i(219).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 3*d**3 + 6*d**3 - 7*d + d**3 - 2*d**3 to the form n*d + b*d**3 + o + m*d**2 and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l + 24. Let j(w) = -w**3 + 10*w**2 - 7*w - 10. Let q be j(9). Calculate the least common multiple of n(q) and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6625050 divided by -265002?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -80670 (base 9) to base 10.\nAnswer: -53037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 22*d + 2. Let i be g(17). Suppose -z + 5*t + 9 = -14, -3*z + i = 3*t. Let k = 38 - z. Calculate the least common multiple of k and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11099 - 6*k + 11146 + 15*k - 13*k.\nAnswer: -4*k + 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.2 times 161791?\nAnswer: 841313.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 6 - (0 - -32)) + 663 + -666\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1843 and 95.\nAnswer: 9215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3473976 + -0.4?\nAnswer: 3473975.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65250, -8, 10, -1 in ascending order.\nAnswer: -8, -1, 10, 65250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46 + 73. Let k = -61683\/7 - -8839. Which is greater: k or l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-2) + 5\/1. Let z be -8 + (-15 + 12 - (48 + -1)). Let k be z\/(-18) + c\/(-18). Solve -4*r = -3*y + 8, -k*r - 6 = -y - 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/11 (b) 5 (c) 0.274 (d) -561\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 8.12. Let z = d + 1.12. Which is the biggest value? (a) z (b) -3\/4 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*n + 660 = -42*n + 6*n for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/1232 and 101\/14.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -k**4\/2 - 39*k**3\/2 - 20*k**2. Let w be t(-10). Sort -14, w, -4, -3 in ascending order.\nAnswer: -14, -4, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 97703262?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 11*n**3 + 6*n**3 + 4 + 8*n**2 - 16*n**3 + 4*n. Let v be t(-7). Let d = 158 - v. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 p, and 2 o when four letters picked without replacement from {h: 4, o: 4, f: 8, p: 4}.\nAnswer: 32\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86845016?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(304)*1)\/(sqrt(40)\/sqrt(20) - sqrt(8)))\/((sqrt(22) + (-2*sqrt(176))\/sqrt(8))\/((sqrt(110) - (sqrt(110) + 2*sqrt(110)))\/sqrt(10))).\nAnswer: 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 - -12. Let j = -30 + y. Is j smaller than -40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cocc when four letters picked without replacement from {c: 5, o: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zeuzuqrh. Give prob of sequence qr.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 329 = 3*l, l - 2*l = 3*t - 511. List the prime factors of t.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 69, 49, 11, -51, -143, -271?\n\"Answer: -i**3 - 3*i**2 - 4*i + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -91.6 + 90. Let s = -1.8 + 0.2. Let n = s - z. Do n and 10 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n - 8. Let d be x(-9). Differentiate -8 + 3 + 2*z**4 + d wrt z.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 2*g, 2*y = -g - 2*g for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -32\/9 at least -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -4086 bigger than -114417\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 m when two letters picked without replacement from {h: 1, m: 1, s: 4, p: 1, g: 6}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5275 - -5279. Which is the nearest to g? (a) 1 (b) -0.4 (c) 3\/4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -p - 7*p + 0*p + (3 + 2 - 4)*(-1 + 1 - p) + 854*p + 1344*p + 238*p - 122*p in the form u + x*p and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, p: 6, m: 1, o: 2, z: 2}. Give prob of picking 1 m and 1 o.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3437 is divided by 86.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y**2 - y - 2. Let k be j(-1). Suppose i + 25 = k*i. Calculate the remainder when i is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49 - -93. Let v = -487\/7 + 8027\/119. Calculate the common denominator of r\/20*-1*(0 - -3) and v.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1398435, -2796874, -4195313, -5593752, -6992191?\n\"Answer: -1398439*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24995233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 81\/(-864) + 21\/66 + (-16)\/(-88). Sort 1\/4, 4, -1, 2, q in increasing order.\nAnswer: -1, 1\/4, q, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -7 - (6 - 9 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*o**3 - 44*o**3 + 91*o**3.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a gram in milligrams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10478623, 20957248, 31435873, 41914498?\nAnswer: 52393123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -18*s**2 + 196*s + 27. Let l be m(11). Suppose -2 = -4*p + 2*z, -l*p - 4*z - 22 = -44. Factor k**p - 1\/4*k - 3\/2*k**3 - 1\/4*k**5 + k**4 + 0.\nAnswer: -k*(k - 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-232)\/(-3) - (-2 - (-14)\/6). Let l be (8\/6)\/(5\/15). Suppose 0 = 2*u - 10 - l. Calculate the greatest common factor of c and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 - 38. Suppose -2*x - 6 = -5*x. Suppose -s = -3*a + x, -5*a - n*s = -a - 24. What is the closest to a in 3, -1\/3, -3\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*b**2*r**2 + b**2 - 4*b*r + 11*r**2 + 9*r + 13 wrt b?\nAnswer: -12*b*r**2 + 2*b - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19389000 by -46.\nAnswer: -421500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -82.2362347 rounded to one dp?\nAnswer: -82.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -9*i**6\/40 - 3*i**5\/10 - i**4\/8 + 3*i**2\/2 + 1. Let f(p) be the second derivative of q(p). Factor f(r).\nAnswer: -3*r*(3*r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4\/9 - 185821*p**3\/3 + 371645*p**2 - 557469*p.\nAnswer: -p*(p - 3)**2*(p + 557469)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.417 in 0, -3, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*o**5 + 1882*o**4 - 28248*o**3 - 41480*o**2 + 41472*o - 8192 = 0. What is o?\nAnswer: -2, 1\/3, 2\/5, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43066 divided by -10.\nAnswer: 21533\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 20*o**2 - 69*o + 761. Give i(12).\nAnswer: -1219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15 + -152571?\nAnswer: -152556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9606 and 1011?\nAnswer: 3237222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -k**2\/2 - 11*k + 36. Let o be c(-4). Let i(y) = -y**2 - 18*y + 9. What is the units digit of i(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-30)\/12*8\/12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*s, -57*l + 53*l = -5*s + 14 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3442\/4)\/(8\/(-16))*-5?\nAnswer: 5, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -171 (base 9) in base 16?\nAnswer: -91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 9*k - 60, 10*k - 4*b = 20*k - 9*k + 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1071545964?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + 1)*(-6 + 2 + 3) + (0 + 4 - 2)*(1 + 7 - 2))*(6*g - g - 2*g) + 136*g + 94*g - 309*g.\nAnswer: -46*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -7.8. Which is the closest to 0.1? (a) k (b) 5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c. Suppose 3 = -2*d + i, 2*d - i + 4*i = 1. What is a(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) 0.5 (c) 2\/5 (d) -27 (e) 4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1\/((p**8\/p)\/p))\/(p*p**(-2)*p*p\/((p\/((p**(-1\/7)\/p)\/p))\/p)*p*p) assuming p is positive.\nAnswer: p**(-41\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 187 and 517021?\nAnswer: 5687231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -46*v**2 - 86*v + 12 = 0.\nAnswer: -2, 3\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 15*h - 30. Calculate b(5).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (210 - 111 - 139)*(1 - x - 1) in the form y + z*x and give z.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -8*q + 20. Let n = q + -2. Let d(i) be the first derivative of -i**3\/3 - 2. Let l(z) = 3*z**2 - 2. Determine n*d(a) + l(a).\nAnswer: a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 70 = l. Suppose 4*g - 5*t - 46 = 3, 2*g - 5*t = 37. Calculate the remainder when l is divided by 52\/g + (-8)\/12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 11 + 1 = 0. Let p be 38\/14 - 2\/(-7). List the prime factors of p\/g*272\/(-12).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 3 (b) 138 (c) -3\/2 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 y when four letters picked without replacement from {t: 1, n: 6, y: 1, r: 8, z: 3}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5201, -5222, -5203, -5132, -4997, -4786, -4487, -4088?\n\"Answer: 2*u**3 + 8*u**2 - 59*u - 5152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and -15.2402457?\nAnswer: 15.2402457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - 17.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*f - 24. Suppose -m + 1 = f. Let y = m - -46. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -8*o - 10. Let m be w(-2). Suppose -6*i + m = -6. What is the common denominator of (-138)\/8 - 1*i\/(-8) and -83\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26616*h + 25873*h - 2*h**2 - 104236*h + 25872*h + 25875*h.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(684))**2 + 5 + (sqrt(684)*-2*-3 + sqrt(684))**2)*-5*6.\nAnswer: -1026180 + 360*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221022100 (base 3) to base 15.\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2))**(-4\/7)\/(b**17*b*b\/b**(-2\/101)) assuming b is positive.\nAnswer: b**(-12639\/707)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000011683333 to 7 decimal places.\nAnswer: -0.0000117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -0.2, -10, -171.\nAnswer: -171, -10, -0.2, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express p**2 + 627 - 304 - 380 in the form c*p**2 + o + b*p and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h - 1 + 0*h + 3 + h**3 + 2*h**2. Let z be (-3)\/5 + (-21)\/15. Let n(p) = p**3 + p**2 + p + 1. What is z*n(d) + b(d)?\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4\/87, 1\/14 in decreasing order.\nAnswer: 1\/14, 4\/87, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4069, -3947, -3821, -3685, -3533, -3359?\n\"Answer: g**3 - 4*g**2 + 127*g - 4193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 468, 867, 1282, 1719, 2184, 2683, 3222, 3807?\nAnswer: 4444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-34)\/(-10) - 20\/50. Is -1 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(17) + (sqrt(17) + 1 - sqrt(17)) + sqrt(17) + -4)**2*5.\nAnswer: -180*sqrt(17) + 1155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 plus 0.1?\nAnswer: 136.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*z + 180 = -44*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/5 of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*b**3 - 25*b**3 - b**2 + 11*b**3 wrt b.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 148 - 64. Suppose -2*i - 2 = 0, -2*w + 497 = i + z. List the prime factors of w.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 126731000 to the nearest 1000000.\nAnswer: 127000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16\/160 - (-1)\/(-2). Let d = -1.1 - -0.1. Let h = d - 0. Sort b, -2, h in increasing order.\nAnswer: -2, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218832 is divided by 539?\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 5*g**2 - 5*g + 8. Let f be a(-6). Suppose 2*z = -2 - f, 0 = -4*u + z + 34. Calculate the remainder when 17 - (2 - (-1 - -1)) is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -1*sqrt(425))*5 + 5 + (sqrt(425) - sqrt(425)*-2*2))**2.\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/17)\/((j\/(j*j**(1\/2)))\/j*j))**(-2\/159)*(j**(1\/12)*j**3)**(2\/49) assuming j is positive.\nAnswer: j**(32063\/264894)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*i**3*w**3 + i**3*w + 10128*i**3 - 2*i*w**3 + 81*i*w**2 - i*w - 52*i wrt i.\nAnswer: 18*i*w**3 + 6*i*w + 60768*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 1:25 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3699? (a) -5\/18 (b) -34 (c) -3 (d) -1\/7 (e) -0.5 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20684377 to the nearest integer?\nAnswer: 4548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 + 26*l - 28.\nAnswer: 2*(l - 1)*(l + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3831*l**2 - 3717*l**2 + 7222*l**2.\nAnswer: -326*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -156*h**3*s**2 - 225*h**3*s + 2*h**2*s - h**2 + h*s + 4*h - 9375*s**5 wrt s?\nAnswer: -312*h**3 - 187500*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 11:30 PM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-6))\/((-84)\/(-2016))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.032 - 1.032. Let u(q) = 2*q**2 - 37*q + 13. Let j be u(18). Let w be j*(-12)\/90*1. Which is the closest to v? (a) 0.2 (b) w (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -2*g - 4*v, -2*v = 5*g + v - 87. What is the greatest common divisor of g and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -12*s**2 + 14*s + 17*s - 7*s - 2*s + 8*s**2 + 4. What is j(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -49*j**4\/3 - 10735249*j**3\/3 - 233086876*j**2\/3 - 125305420*j - 52575600 = 0. What is j?\nAnswer: -219065, -20, -6\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1046 and 10460.\nAnswer: 10460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 5) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 805571*o**3 + 195579*o**2.\nAnswer: 4833426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2731916 divided by 319?\nAnswer: 8564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -24*((-3 - 1) + (-10)\/(-4)). What is the third derivative of -2*y**3 + 32*y**3 - 28*y**2 + w*y**2 + 30*y**3 wrt y?\nAnswer: 360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n + 8. Let a be p(-6). Suppose 1 = a*w - 17. Let g = -1 + w. Which is smaller: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 3. Let a = l - -2. Solve 5*p - s - 23 = 0, 5*p + a*s = 22 + 7 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 10. Let k(f) = 1 - f - 3 + 3 - f**3 - f**c. Suppose 0 = 2*u + 2*u - 4. Determine k(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1233 to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -34*h - 11*h**2 - 13 - 4 + 5 + 13*h**2. Calculate b(17).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c0 - c01ad?\nAnswer: -c027d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/3*-4*(-6)\/20. Suppose v*j - 3*j = 3*a + 3295, j - 5*a - 681 = 0. List the prime factors of j.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, p: 1, h: 3, c: 3, e: 1, o: 4}. What is prob of sequence ooop?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 + -28. Let l = -7 + 5. What is the nearest to l in -2\/3, -1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-6)*n*n**3*n*n*(n*n*n**(-2)*n)\/(n*n*n**2\/n*n) assuming n is positive.\nAnswer: n**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 1 - -3) + 3. Let a be (1420\/t)\/(6\/(-18)). What is a rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*q = -5. Suppose 0 = 5*a - 5*r - 10, 0*r + 2*r + 12 = 4*a. What is the least common multiple of (-24)\/(-18)*(2 - q) and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 13. Suppose -62*d + 74*d = 36. Put q, d, 2, -1 in decreasing order.\nAnswer: d, 2, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/25)\/(1\/(-15)). Let n = 8 + a. Let x(g) = g**3 - 2*g**2 - 2*g - 1. Let t be x(3). Calculate the greatest common divisor of t and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2\/5, 54 in increasing order.\nAnswer: -4, 2\/5, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4114 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.27, 0.2, 2.\nAnswer: -4, -0.27, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.615 - 0.69. Let l = -182942 + 182942.0750193. Let z = w + l. What is z rounded to 6 decimal places?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 5*q**2 + 4*q + 1. Let r be x(-4). Suppose -u - 4 = r. Let b be (-6)\/(-9)*3\/u. Put 0.3, b, -4 in decreasing order.\nAnswer: 0.3, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05326956317 to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2364?\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 15*p**2 + p + 9. Let w(g) = -g**2 - g. Let m(f) = -j(f) + 6*w(f). Suppose 0*d + 4*v = 2*d + 16, 0 = -4*d + 4*v - 32. Is m(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/15 + 19632*i\/5 - 58894\/15.\nAnswer: -2*(i - 29447)*(i - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 346 = 3*t - 4*m, -3*t - m + 337 = 4*m. What is the lowest common multiple of (1 - -12*2 - 3) + -3 and t?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3769275 by -5199.\nAnswer: -725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1076*n**2 + 533*n**2 + 545*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 - (-15)\/(-5 - -2). Let q(s) = -10. Let v(t) = 7. Let g(l) = 5*q(l) + 7*v(l). Let w(k) = -2*k**2 - 2. Determine c*w(b) + 2*g(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.04 + -0.04. Suppose 35 = 7*f - 0. What is the smallest value in f, v, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 143412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 60422?\nAnswer: -3\/30211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*h + 7*h + h**3 + 7*h + 2 + h as j*h + w*h**2 + p*h**3 + i and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -u**7\/420 + u**4\/12 + u**3\/6 - u**2. Let p(g) be the first derivative of a(g). Differentiate p(d) with respect to d.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-2\/5))**(-25)\/(k*k**(-4)*k*k*(k\/(k*k**(-1\/10)))\/k))\/((k**(2\/3)\/(k\/(k*k*k**(-2\/3))))\/((k**(-2\/15)*k)\/k**(-2\/5))) assuming k is positive.\nAnswer: k**(-77\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 2)\/(11\/44).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1212 (base 7) to base 16\nAnswer: -1c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 9*k**2 + 7*k - 8. Let p be j(-8). Sort 5, -16, p in decreasing order.\nAnswer: 5, p, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-3))\/(10\/60). Suppose -l*j + 2 = 0, -3*q + 38 = -2*j - 8. Suppose -q*h + 15 = -15*h. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 4 + 56499245*j**2 + 2303*j - 56499247*j**2.\nAnswer: -2*j**2 + 2303*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, r: 2, h: 2, w: 8, t: 6, p: 1}. Give prob of sequence rw.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5\/14 - -11\/28. What is the smallest value in 1, -21, y?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -r + 8, 4*r + 4*f - 66 = 14. Let n = -71 - -80. What is the remainder when r is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223*y**2 - 4*y - 380*y**2 - 10 + 180*y**2 + 0*y.\nAnswer: 23*y**2 - 4*y - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156024 is divided by 279.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 3. Let h be (-16)\/(-7) + l\/(-7). Suppose 5*m - 5 = 3*f - 25, -4*m - 29 = -5*f. Solve f*p - 18 = n, n + 9 = h*p - 0*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 4:46 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12422 is divided by 183.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2505 + 752?\nAnswer: 3457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 6 + 11 + -15 + -3 + -6\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4564457906 to 3 dps.\nAnswer: -0.456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**2 - x**2 + 3*x**2 - 8922*x**2 + 17892*x**2 - 11168*x**2 + (4*x + x - 3*x)*(0*x + 0*x + 2*x).\nAnswer: -2196*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (27 + 60)\/(-435) + 718\/(-5)*(-1)\/(-2)\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26764 is divided by 569.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/25 of a gram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/1*4\/3. Let n = 1 - t. Which is the biggest value? (a) 4 (b) n (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.25 and 146246.6.\nAnswer: 146246.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -541 and 19102.\nAnswer: -10334182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence unb when three letters picked without replacement from {b: 2, u: 1, k: 1, z: 1, w: 1, n: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 22532 (base 6) to base 15\nAnswer: e4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(-1\/8)*m)\/(m\/(m\/(m**5*m))))\/((m\/((m*m**(2\/21))\/m))\/(m\/(m\/m**(-3\/5)))))\/(m**(-1\/2)\/m*m\/m**12)**(-3) assuming m is positive.\nAnswer: m**(-36019\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -5*b. Let r be p(-1). Let z(u) = -4 - u + r*u - 5*u - 3*u. Is z(-7) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.3, 126, -9, 1\/409, -3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 43828274 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s - 3. Let y(g) = -4*g + 4. Suppose 0 = 5*v - 45 + 15. Give v*t(f) + 5*y(f).\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7322742 and 81.\nAnswer: 65904678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/112 and 5\/21.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, j: 10}. Give prob of sequence gj.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 3695.8 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k + 0*k + 3*k)*(-1 - 4 + 18)*(4 - 4 + 4*k)*(-14 + 1 - 2) as f*k**2 + h + c*k and give f.\nAnswer: -2340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1334.674 rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 144*v - 143*v - 5*y - 5, 8*v = 2*y + 40 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 5*b + 2. Suppose -73*q = -67*q + 12. Let j be -1 + (9 - (-4)\/q). What is v(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -879*x**5 - x**2*y + 64*x*y + 29*y - 2 wrt x?\nAnswer: -17580*x**3 - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttittttttttitititt. Give prob of sequence tttt.\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 a, and 1 w when three letters picked without replacement from pawlepoew?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/(-6))\/((-147)\/441)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 5:14 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (256\/(-96) + 9 + 1)\/((-4)\/222). Do -407 and o have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 1:17 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 2\/57132467?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*n = 465 - 11, -u - 4*n + 109 = 0. Let r = 9746 + -9723. Calculate the remainder when u is divided by r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -384, -2, 0.029, 0, 2\/3.\nAnswer: -384, -2, 0, 0.029, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1811812802?\nAnswer: 2, 431, 2101871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1563 > -254670?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.3 - -1. Let v = 33 + -32.7. What is the second smallest value in 3, v, g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25580048?\nAnswer: 2, 13, 23, 5347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -547 + 376.6. What is y rounded to 0 dps?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 17*i + 20*i = 11, 5*i - 15 = 5*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.217 - -0.183. Sort -2, -5\/2, c, 2 in ascending order.\nAnswer: -5\/2, -2, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o**2 - 4*o + 2. Let v be p(2). Is v > 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 86 = 2*r + 54, 67 = 2*x - 3*r. Calculate the smallest common multiple of x and 34.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10576 - -10576.1. Suppose 0 = -l - 3 + 5. Suppose 1 - 21 = -4*g. Which is the closest to l? (a) g (b) j (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16686383 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 54*p - 13. Let u(k) = 13*k - 3. Calculate 9*u(l) - 2*v(l).\nAnswer: 9*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 227*l + 671. What is p(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -13*f**5 + 10*f**3\/3 + 5*f**2\/2 - 24*f - 4. Find the second derivative of d(s) wrt s.\nAnswer: -1560*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**5 - 114*k**4 + 1230*k**3 - 1118*k**2 = 0. Calculate k.\nAnswer: 0, 1, 13, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**3\/x*x**(-2))\/(x*x*x**0*x)**(3\/14))\/(x**8*x*x*x*x*x**(-6\/5)*x*x)**(2\/23) assuming x is positive.\nAnswer: x**(-2827\/1610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2832 and 177?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4659 + -4659.1. What is the nearest to z in -3, -0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 239760.\nAnswer: 239760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-413 - -452) + (-9 - (6 + -11) - -19).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85 - 10*q**3 + 15*q**3 + 221 - 136.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352106060?\nAnswer: 2, 5, 31, 37, 15349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4251*t = -92*t - 191092 for t.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -70, -65, -58, -49, -38, -25?\n\"Answer: h**2 + 2*h - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -5*d**4\/4 - 12025*d**3\/2 - 7277520*d**2 - 226264815*d\/2 + 8532229365\/4 = 0.\nAnswer: -2397, -27, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/24)\/((-4)\/(-3))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2055 - -3?\nAnswer: -2052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*k - c + 17, 5*k = c - 20. Put -3, -2, 2, k in descending order.\nAnswer: 2, -2, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1))**(-1\/77)*(s\/(s*(s\/s**(7\/5))\/s))\/s*s*s*s**(2\/3) assuming s is positive.\nAnswer: s**(3557\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1765 - 1601 = -39*g - 1962. Calculate the smallest common multiple of g and (0\/(-2) + -1)*-12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 153c7 (base 14) to base 2.\nAnswer: 1100111010100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3990 - 31863\/8. What is the common denominator of (262\/10)\/(18\/(-15)) and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -o - 6, 3*u = -3*o - 5 - 13. Let s be ((-2)\/o)\/((-4)\/(-36)). Find y, given that s*y - 66*y**2 - 67*y**2 + 136*y**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/18230 and -169\/19800.\nAnswer: 36095400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 1369032?\nAnswer: 1369032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12719, 25436, 38153, 50870, 63587, 76304?\nAnswer: 89021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence evpv when four letters picked without replacement from vvvvvepvpppvv.\nAnswer: 28\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(756)\/sqrt(108))\/(sqrt(144)*-2 - sqrt(144)) - (3*sqrt(7) + -5 - (sqrt(35) - sqrt(140)\/sqrt(4))\/sqrt(5))) + -5)**2.\nAnswer: 83167\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/690 and -89\/138?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0 - (11 - 8) - (-10 - -13)) + -6\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x - 2. Let l be t(-1). Let u be 904\/32 + l\/(-8). Solve -4*r - q - u = -5*q, r = 4*q - 13 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8839 - -8840. What is the second biggest value in -1, -36\/11, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (2 + 1 + -4 - 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 910 a factor of 171462200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 97.026 - 0.026. Let k = o + -97.078. Let r = k - 2.922. What is the closest to 4 in 3, r, -3\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 310?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -313 - -4b?\nAnswer: -295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 j when three letters picked without replacement from wpppnqnnnpnjjnnjjnn?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26636, 106525, 239674, 426083?\nAnswer: 665752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207*o**2 - 6441 + 6441.\nAnswer: 207*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -171577 or -171576?\nAnswer: -171577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 178.8910838 + -182.99109. Let p = -4.1 - v. What is p rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 5*y**2 - 4795*y + 466950 = 0.\nAnswer: 110, 849","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h - 2*h - 14*h**2 + 24*h**2.\nAnswer: 10*h**2 + 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/70)\/((-24)\/(-20))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 297 + -1?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 177714 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -9*l**3 + 4869*l**2 - 5*l + 2. Let m(n) = 5*n**3 - 2433*n**2 + 3*n - 1. What is -3*j(w) - 5*m(w)?\nAnswer: 2*w**3 - 2442*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of 7*s**6\/10 + 5*s**4\/6 - s**3\/6 + 35*s + 1. What is the third derivative of t(z) wrt z?\nAnswer: 504*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240795.\nAnswer: 3, 5, 5351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27 + 27 + 37*s + (0*s + s + s)*(0 - 1 - 1) to the form o + u*s and give u.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 73*m + 18. List the prime factors of u(3).\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 18, z: 2}. Give prob of sequence aa.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 10 = -2*m - 4*o, 2*o + 23 = 5*m. Solve m*f = -0 + 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -0.225, -24\/11, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2028, 16488, 55816, 132456, 258852?\nAnswer: 447448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8254869*-0.06.\nAnswer: -495292.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*i + 34*i - 6*i**2 - 6*i wrt i?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/9 of a day?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 15*o - 42. Let t be q(3). Solve 3*a + 15 = 0, 3*a + 22 = -t*s + 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -50\/11341?\nAnswer: -50\/11341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 2*i = -3*i - 4, 3*c + 12 = -3*i for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 6)\/3 - 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2100 + -2102. What is the third biggest value in 526, g, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/18 + 1\/(60\/(-1360))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/(-24) + (-26)\/(-78)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 0.3, 5979, 5, 0.9, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 305655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6232 and 7277.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + i + 10. Let a be l(0). Solve -y + 5*t - 2 = -3, -2*y - a = 2*t for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**3 - 6*t**2 - t + 1. Let y be 1 + 26\/((-6)\/3). Let s be (-51)\/12 - 3\/y. What is the tens digit of p(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 5*z + 17 = 5*t, -t - 2*z + 10 = 0. Let s be (5 - 6)\/((-1)\/5). Suppose -8 = -s*y + 7. Is y greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 560 + -601. Let p = u + 68. Calculate the common denominator of p and (-1)\/(-4)*(-2)\/29.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1474233258 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -11*w - 96. Let a be z(-9). Sort -233, a, -0.2 in descending order.\nAnswer: a, -0.2, -233","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-43)\/(-1935))\/(1\/6).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 3, 4, -95, -4, 111, -3.\nAnswer: -95, -8, -4, -3, 3, 4, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6140 - 380 = 36*i. Calculate the remainder when 1250 is divided by i.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**5\/5 - 151*a**4\/5 - 329*a**3\/5 + 699*a**2 + 3816*a\/5 - 22032\/5 = 0?\nAnswer: -4, 3, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/4, -2, -8, 0.2, -97\/3, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mb when two letters picked without replacement from {b: 8, m: 5}.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -175023*c**2 + 14*c + 1606637 wrt c.\nAnswer: -350046*c + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 11, g: 1}. Give prob of sequence ddgd.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/985906485 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*j - 8. Let y = -0.674 - 0.026. Let u be (-75)\/(-385) - (-6)\/(-21). What is the nearest to y in u, -3\/8, j?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-80)\/120)\/((-1)\/(-6))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 + (-428)\/12)\/(10\/(-75)). Factor 64 + 175*m - i - 5*m**3 - 80*m**2 + 76.\nAnswer: -5*(m - 1)**2*(m + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*z - 254*d + 8 = -253*d, 2*z = -0*z - 6*d - 58 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m**2 - 4. Let g = -4 - -7. Let x be b(g). Let c be 7*(30*1 - (-287)\/(-41)). What is the greatest common factor of x and c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 7328685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 412 + -386. Let y be j\/78*(0 + 0 + 1). Which is the closest to 4? (a) y (b) 5 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t**2. Let h = -5 + 9. Let o(n) = -n + 1. Let r(z) = 5*z - 4. Let g(l) = h*o(l) + r(l). Calculate b(g(j)).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -9*c**2 + 32*c - 14. Let f be q(3). Let j be ((-1)\/2)\/((-1)\/(-4)). Let g(v) = 4*v**2 + v. Let y(m) = m**2. Calculate f*g(x) + j*y(x).\nAnswer: 2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-96)\/(-57) + 678\/2147. Put 2\/13, -1, 1.67, u in descending order.\nAnswer: u, 1.67, 2\/13, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 16*i - 20. Let t be p(-14). Suppose -t = -y - 5. Let b be 5\/(-2)*(-8)\/10. What is the nearest to 1 in -0.3, b, y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/4)\/((-3)\/(-2))*(-36890)\/595\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272 = 4*x - 31*k + 35*k, -k = 5*x - 360. Calculate the remainder when 170 is divided by x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*n - 7*n - 12*n.\nAnswer: -33*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ybco when four letters picked without replacement from zbobzzabcabzbzoyb?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + m + 3804 = 0. Let o(k) = -2*k**3 - 19*k**2 - 12*k - 29. Let t be o(-11). Let z = m - t. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 6, 5, 1, -1 in increasing order.\nAnswer: -15, -1, 1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0*b + 8 = -x, 2*b + 5*x = -19. Let l(z) = z**3 - 3*z**2 - 2*z + 7. Let k be l(b). Solve 0 = -y - k - 3 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2, 6026 - 23657 = -5*c - 2*s. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396*q + 192 = 372*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**3 - 11*z**2 - 12*z - 105. Let t be k(-6). Put -15, t, -3, 1, -1 in ascending order.\nAnswer: -15, -3, -1, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*i**3 + 71*i**3 + 199*i**3.\nAnswer: 309*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**2 - 2*v**2 + 0*v**2 + (-v - v + v)*(-139*v + 82*v + 204*v).\nAnswer: -148*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 1. Let h(l) be the second derivative of l**4\/24 - 9*l**2\/2 - 20*l. Let x(p) be the first derivative of h(p). Calculate -2*k(a) + x(a).\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 15 = -b, 9*i - 4*b = 11*i - 12. Solve -2*p + i*m + m = -4, -2*p = 3*m - 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 3. Suppose 0*t + 5*t + 33 = -4*x, 4*t - f*x = -10. Let q = t - -51. Does 16 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 8 - 8)*(0*j + j + j)*(-2*j**2 - 52*j**2 - 31*j**2).\nAnswer: 680*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -73187 (b) 2\/9 (c) -1\/4 (d) 1\/5 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 28\/(-42) + 1390\/15. What is the greatest common divisor of 1426 and c?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 8*i**2 + 18*i + 16. Calculate l(6).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -89, 82, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -7. Suppose 2*o = -u + 18, -o + 56 = n*u + 3*o. Suppose -5*y + 3*y = -u. Solve y*t + 0 = 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49 - -64. Factor -10*r**3 - 50 - x*r**2 - 135*r - 66*r**2 + 6*r**2.\nAnswer: -5*(r + 2)*(r + 5)*(2*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/19223, -22, 2.\nAnswer: -22, -5, -1\/19223, 2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -2. Let c = 2 - l. Find the first derivative of 7*j**c + 3 - 1 - 4*j**3 wrt j.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3252*x - 10. Let h(p) = -104065*p + 325. Determine -2*h(c) - 65*q(c).\nAnswer: -3250*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 455 - 451?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13578 rounded to the nearest one hundred?\nAnswer: 13600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n**3 + 7*n**3 + 2*n**2 + 2*n**3. Let r be t(2). Suppose 0 = s - 2*w - 1, -5 = 4*w - 17. What is the highest common divisor of s and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2 - 6, 3*w = -4*l + 94. Let d(a) = -l*a**2 - 6*a**3 + 9*a**3 + 2 - 2*a**3 + 2*a. What is the remainder when d(22) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22645 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -481 + 6?\nAnswer: -477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*c = 16, c + 16 = 4*i + 5*c. Let w = i + 3. Suppose w*j = j + 4. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h**2 - 8*h - 4. Let s be a(4). Let y be s\/(-4)*(-1)\/3. Calculate the greatest common factor of y and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-25))\/((-12)\/15). Suppose 4*j = -3*v + 1, 9 = -4*v + 6*j - j. Is m greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, m: 1, p: 1, y: 11}. What is prob of picking 2 s, 1 p, and 1 m?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -60*v + 63*v + 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5467 is divided by 420?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/48 - 39\/(-42).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 20*z + 1. Let q(l) = 63*l + 56. Calculate q(c) - 3*v(c).\nAnswer: 3*c + 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 + -16. Suppose i = -9*q + 12*q + 186. What is q rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - 1 - 2\/8. Let t = 97 + -92. Which is the closest to p? (a) 0.2 (b) -2\/7 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 432 divide 32743008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 8) to base 16\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 80 = 10*r + 16*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 + a**2 + 60*a**3 - 24*a**3.\nAnswer: 36*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (105\/(-525))\/((-3)\/(-30))*(-12)\/(-2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - 12 - (4 + -3 + -6 + -7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1710 and 721430.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67, 158, 271, 406?\nAnswer: 563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -12*w + 140. Suppose 3*a + 25 = b + 3*b, 5*b - w = 3*a. Let n = a + 21. Calculate the lowest common multiple of n and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - v**2 - 6. Suppose 0 = j - 2*j + 21. Let r be 6\/j - (-4)\/(-14). Calculate x(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)\/(sqrt(15)\/sqrt(3)*5))**2 - ((1*sqrt(1573) - sqrt(1573))*5)**2.\nAnswer: 13\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + 133\/(-21))\/(((-2)\/(-15))\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -561583.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -928 divided by 4\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.05 - 0.032. Let t = h - 0.017916. Round t to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.25964 to two dps.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64444383 to the nearest integer?\nAnswer: 8028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -2, 5, 65 in decreasing order.\nAnswer: 65, 22, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - 4*h - 4*m, 2*h - m = -15. What is the second smallest value in -4\/7, 3, h?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/40 of a decade?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-4 + (6 - (9 + -4))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 59713970023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150218*k**3 + 75216*k**3 + 75037*k**3.\nAnswer: 35*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -381246 (base 9) in base 2?\nAnswer: -111000010010101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/6729307 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 56d8 - 9?\nAnswer: 56cf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(156) + sqrt(156) + -2*sqrt(156)) + (sqrt(156)*3*-6 - sqrt(156) - sqrt(156)))\/((sqrt(84)*-1*3)\/(sqrt(77)\/(2*sqrt(11)))))**2.\nAnswer: 1300\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5338290 + -7658497. Let q = h - -3340207. Round q to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 3993*g**4 + 123420*g**3 + 225918*g**2 + 141708*g + 29841 = 0.\nAnswer: -29, -7\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34 - -32 - (1 - 1)) + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + b + 16 + b)*(95 - 303 + 161 - 25*b).\nAnswer: -50*b**2 - 69*b + 47","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1990, 7913, 17776, 31579, 49322?\nAnswer: 71005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -6572*l - 36. Let v be c(17). Is (3 - 1)*v\/(-160) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifty-nine fifths of a meter?\nAnswer: 1180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -640 divided by -20.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express a + 5509*a**2 + 591*a**3 + 5506*a**2 - 1 + 3 - 11015*a**2 as i*a**2 + s*a**3 + g + f*a and give s.\nAnswer: 591","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, u: 6}. What is prob of picking 2 u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 8*w. Let q(s) = -s - 1. Suppose -22*d + 46 - 2 = 0. Let u(h) = -8 + 5*h**2 - 4*h**2 + 9 + h. Let p(x) = d*q(x) + 2*u(x). Calculate p(f(z)).\nAnswer: 128*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 8565916 = 8565917?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 695 a factor of 1311501140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 10*y + 10. Let a = -9 - -19. Let d be j(a). Solve -8 = 4*r - 0*r + 4*z, -5*z = -r + d for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*h = 3 + 3, 5*m = h + 15. Let y(k) = -k**3 - k**2 - k. Let d(u) = -2*u**3 - 3*u**2 - 3*u + 1. Calculate m*y(f) - d(f).\nAnswer: -f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-47 - (-64 - 21)) + -56?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1868734 - -42?\nAnswer: -1868692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 4:19 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11 (b) 11\/8 (c) 5 (d) 25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -6b4456?\nAnswer: -6b4453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 511 - 507. Does 25 divide (2\/(-3))\/(w\/(-5742))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*d**2 + 0 - 90*d**2 - 8.\nAnswer: -68*d**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzddpdddddedppzpddpn. Give prob of picking 1 d and 1 e.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1635 or 2649?\nAnswer: 1635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -21*3\/(-12)*4. Suppose -3 = -8*a + q. What is the highest common factor of a and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3754972 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -297187.16 rounded to the nearest one thousand?\nAnswer: -297000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 142, 10, -264, -680, -1238?\n\"Answer: -71*c**2 + 81*c + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 378235 - 144?\nAnswer: 378081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/15*(1 - -17). Suppose 22 = 3*g - j - 0*j, -2*g + 5*j = -u. Calculate the greatest common divisor of g and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318 = -88*f - 230*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.004 and 281.\nAnswer: 1.124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -179584 or -179592?\nAnswer: -179584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -401*i = -436*i. Let w = 1.4 + -1.3. What is the closest to w in i, 2\/15, -5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - -20. Suppose b*d = 7 + 41. Solve -3*v = -i - d, -v = 2*v - 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**2 - 7*c + 22. What is b(-6)?\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of f**5\/20 - f**4\/2 - 5*f**3\/2 - 2*f**2. Determine h, given that i(h) = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/3 (b) -6.3 (c) -6722\/107\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-27)\/6*(80\/2658)\/(-10). Is 1 at most as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.112*104274\nAnswer: 11678.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (2 - 1 - (-3 + -1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -266893\/6 and -44483 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0*b - 2 = 0. Let f(y) = 36*y**2 + 2*y. Let p be f(b). Let d = -80 + p. Is 10 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -34*u + 6. Let p be y(-13). Suppose -80 = 4*b + p. Let g = b + -68. What is g rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145903 a multiple of 283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31528 - 31520. Let v(k) be the second derivative of 5*k**4 + 2*k + s*k**2 - 7\/5*k**5 - 7 - 26\/3*k**3 + 2\/15*k**6. Find c such that v(c) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (4 - 3)\/(4\/12) + 6321 + -16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -11\/6, 5, 3, -153, -4, 2, 33.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36360007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -65463, -261920, -589367, -1047804, -1637231, -2357648, -3209055?\n\"Answer: -65495*k**2 + 28*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2449, 680, 33 in increasing order.\nAnswer: -2449, 33, 680","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1008 * 186795.\nAnswer: 188289360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 664?\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -99*u**2 + 12*u - 51. Let k(i) = 100*i**2 - 10*i + 50. Let r(z) = -5*k(z) - 4*m(z). What is the second derivative of r(h) wrt h?\nAnswer: -208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a year in months?\nAnswer: 222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 34\/3 in -2, 5, -0.15, 21, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -55478430 to the nearest 1000000.\nAnswer: -55000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z**3 + 4*z**2 + z - 7. Let j be o(2). Let g = j - -25. Are 12 and g equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -911 - -939. Let j = 13 + -5. What is the lowest common multiple of f and j?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -41212?\nAnswer: -41215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000246059 rounded to 5 decimal places?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/28 and 37\/11480.\nAnswer: 11480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2. Let o(y) = -1048*y. Calculate m(o(l)).\nAnswer: 2196608*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 886869*z**3 - 921257.\nAnswer: 2660607*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/112 and 5\/98.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.1 * 40470.\nAnswer: 84987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10427 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 7:28 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2920091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4*o + 173. Let x(f) = 2*f**2. Determine x(k(l)).\nAnswer: 32*l**2 - 2768*l + 59858","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 32*t**3 + 1 - 4*t + 3 - 9*t**2 + 10*t - 2*t. Is l(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6368229 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 5*d - 2*d + 0 + 3. Suppose 13 = -6*s + 31. Suppose s*r - 3 = -3*f + 3, 5*r - f - 28 = 0. Determine b(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -4*t + 5756, -5*t - 5*n + 2856 = -3*t. Suppose -9*k - t = -11*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z**5 + 15*z**4 - 20*z**2 = 0. Calculate z.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 224055670 to the nearest integer?\nAnswer: 14968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -19*t**3 + t**2 + 1. Let s(n) = 9*n**3 + 3*n**2 + 2. Determine -2*p(m) + s(m).\nAnswer: 47*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 5*o + 2. List the prime factors of g(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - a - 14, -5*a + 8 = 2*y - 0. Is (1065\/6)\/(y\/(-12)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 31. Let g = m + 1. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-4)\/(-1)*(-15)\/(-12)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7520 and 7520?\nAnswer: 7520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 1592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -10 + (-13)\/((-91)\/70). Is s greater than 3\/2062?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00421773584 rounded to seven decimal places?\nAnswer: 0.0042177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 10:30 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -875 - -888. Let d(i) = -i**3 - 2*i**2 + 7*i - 1. Let s be d(-5). Calculate the greatest common factor of r and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.3 - 1.8. Which is the second smallest value? (a) 1 (b) w (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 divided by -4?\nAnswer: 77\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -4406.\nAnswer: 2\/2203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41 + -51. Let k(z) = z**3 + 8*z**2 - 21*z + 14. What is the lowest common multiple of k(w) and 22?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 185552073 and 293803?\nAnswer: 185258270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5103 and 567?\nAnswer: 5103","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 6*t = -9. Solve y - 4*r + 4 - t = 0, 3*y - 14 = -5*r for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62090?\nAnswer: 2, 5, 7, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(1*(0 + 2)). Let j(c) = 29 - 8 + 10 - 10 + 32 - c. What is the units digit of j(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nuod when four letters picked without replacement from {u: 2, o: 7, j: 7, d: 3, n: 1}?\nAnswer: 7\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 11*v + 1. Let n be x(7). Let r be (-230)\/30 - -9 - (-2 - (-604)\/(-6)). What is the greatest common divisor of n and r?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a minute in milliseconds?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*x**3 + 951124*x**2 + 69*x**3 - 951124*x**2.\nAnswer: 96*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1, -0.3, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 447092 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -t**5\/20 + 2*t**4 - 24*t**3 - 18*t**2 - 2. Factor q(z).\nAnswer: -3*(z - 12)*(z - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00339905985 rounded to four decimal places?\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 8*s = 15. Let l(f) = -f**2 + 12*f - 1. Calculate the lowest common multiple of (-6)\/(-27)*s*15 and l(11).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33856 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 - (-138 + -49 + 104)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*w**2\/4 + 162*w - 132 = 0.\nAnswer: -44, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 585\/120 - (-1)\/8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38\/1641 - -2226761\/3282. Is 679 >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 14*v + 148. Let u be t(-10). Suppose 83*r = 85*r - u. Solve 5*x - r*g + 3 = 0, -3*g - 14 = 5*x + 10 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -25, -2*q = 4*g - 25 - 1. What is the greatest common divisor of 171 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 226314249 to the nearest integer?\nAnswer: 15044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*y**4 + 55*y**3 + 145*y**2 - 55*y - 150 = 0. What is y?\nAnswer: -6, -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/6 + 92\/24. Put -0.2, -22, -0.5, c in ascending order.\nAnswer: -22, -0.5, -0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23222400 and 333822000.\nAnswer: 2670576000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -2*j - 78, -3*d - 9955272*j = -9955273*j - 60 for d.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(64)*-3)\/((sqrt(2) - sqrt(200)\/sqrt(4)) + sqrt(2) + sqrt(2) - sqrt(6)\/sqrt(75)).\nAnswer: -60*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 8*j - 1. Let z be h(7). Let r be ((z - -3) + 0)\/(-1). Suppose -r*q = -3*q - 134. What is q rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/77)\/(108\/378).\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 541 (b) -3\/2 (c) 0 (d) 1 (e) -0.14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 403244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -873226 - 1?\nAnswer: -873227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3467 is divided by 1729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7591981.\nAnswer: 7591981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2220.1 * 1.3.\nAnswer: -2886.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2080211348?\nAnswer: 2, 1381, 376577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4 - 9)\/(2*1))\/((-1694)\/3080)?\nAnswer: 50\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 2*c - 4*v - 28, -v - 25 = -5*c. Solve -n = -c*w - 15, 0 = 2*w - 0*n + n + 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 203*x**2 - 103*x**2 - 4*x - 99*x**2 to a + o*x**2 + s*x and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 21298 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 203727 - 139811. Suppose -186684 = -7*p + l. Round p to the nearest one thousand.\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36625 and 1475.\nAnswer: 2160875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-6)*-4)\/(-2). Let q = 4 + v. What is the second biggest value in -0.4, q, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 11275*w + 101470. Determine g(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -379*m + 6706 - 2081 = -8261 for m.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 11, h: 1}. Give prob of picking 1 p and 2 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 3*w + 2. Let d be x(0). Solve -4*c - c + 5*o = -10, -d*c - 3*o + 4 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4250*a**3 - 429 + 4284*a**3 + 14*a - 8532*a**3 as x*a**2 + j*a + b*a**3 + d and give d.\nAnswer: -429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10*(-16)\/280 + (-52314)\/7. Let z = 10787 + w. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 806*y**3 - 20*y + 22*y - 394*y**3 - 389*y**3.\nAnswer: 23*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 3*p**2 + p + 7. Let g be -5*(-39)\/325*15\/(-3). Determine w(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 1 - 1)*-1. Solve 3 = -2*r - s for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 11:59 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -92871832 divided by -23217958\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r + 8. Let z be m(-7). Let h = -2 + 35. Is z\/((1\/h)\/1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2462, 10, 0, -3.\nAnswer: -3, 0, 10, 2462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/(-3) + (-4)\/(-1). Calculate the greatest common divisor of i and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 81886.81 centuries?\nAnswer: 818868.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8444531309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 849*h + 158 - 1692*h + 838*h to k*h + i and give i.\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + -4)\/(21\/(-84)). Suppose -4*w = 4*r + 12, -4*r - h = -4*w + 12. Suppose -3*g = 4*m - 2683, -g + w*m + 1770 = g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 413304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -114*i - 791. Give x(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 259965079 divided by -11717?\nAnswer: -22187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*b**2 - 2*b - 26 wrt b.\nAnswer: -22*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31 + -2311345?\nAnswer: -2311420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 1 = -17. Let k(n) = -n + 13. Let c be k(9). Suppose 6*y - 51 = -3*f + 2*y, -68 = -c*f - y. Calculate the remainder when f is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 1092 = 13*s. Is 7 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 7*g + 51. Calculate the remainder when 6451 is divided by h(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 - 35. Suppose -z*i + 5*l + 15 = 0, 0*i + 5*l - 25 = -3*i. Suppose -5*h + 253 = -2*b, b = -i*h + 13 + 243. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by 39?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5*(-4 + (sqrt(38) + 4*sqrt(114)\/sqrt(3))\/(sqrt(14)\/(sqrt(7)*-1)))**2.\nAnswer: -2459 - 200*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 4*s = 10. Let u(v) = -v**2 + v + 4. Let n(d) = d**2 - d - 3. What is s*u(g) + 3*n(g)?\nAnswer: g**2 - g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 0 + 20\/3*r**3 - 8\/3*r**5 + 0*r - 4\/3*r**4 - 8\/3*r**2 = 0.\nAnswer: -2, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 4 - 4)*(-852*z**3 - 849*z**3 + 1624*z**3)*(4 - 4 - 2*z).\nAnswer: -616*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 77, 152, 397, 896, 1733, 2992?\n\"Answer: 14*k**3 + k**2 - 26*k + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1110*a = 1125*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6343\/9 (b) -2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 4*i + 17, 12*q - 5*i - 19 = 8*q. Let r be 24\/56 + (22\/14)\/q. Solve -4*t + 9*t = 4*k + 28, -r*k - 16 = -3*t for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 168*s**2 + 664*s - 1188. Calculate i(164).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -904 - -904.5. What is the closest to -1 in h, 7, -1, 3\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7840 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17555*o**6*q + 184*o**5*q + 2*o**2*q + 77*o**2 + 33*o + q + 24 wrt o.\nAnswer: 2106600*o**3*q + 11040*o**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -205239.64 + 76709934.64. Let x = 76504725.999947 - n. Let c = -31 + x. What is c rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 219 and 141693.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 3*z + 106 = 0, -3*f - 4*z + 77 = -3*z. Suppose -w = -5*d + 34 - 6, -5*w = -2*d + f. Is d even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1646?\nAnswer: 2, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 51721147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.2, 0.144, 2, 17, -70, 0.5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50\/(-30))\/(1\/(-3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**3 - 3*h**3 + 0*h**3)*(0*h + 0*h - 2*h) + 3*h**4 - 4*h**4 + 0*h**4 + (0*h**2 - 2*h**2 + 3*h**2)*(-h - 2*h**2 + h) - 5*h**3 + 5*h**3 + h**4.\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7775991 a multiple of 213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 61921386.\nAnswer: -185764158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4\/19, 0.1486, -3\/11, -5?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (4 + -3 + (-4 - -2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-75) - (-1)\/(-20)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -11, -12, -13, -14?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -460 + 118. Let t = -338 - q. Solve -6*k + t + 8 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2*v)\/(v*v**1)*v*((v*v*v\/v**(2\/9))\/v)\/v*v*v**(2\/5)*(v**(-4\/5)*v*v\/(((v\/v**(-6))\/v)\/v))\/(v\/(v*v**(2\/3)*v))**(-1\/36) assuming v is positive.\nAnswer: v**(179\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 1327 = -m, -3*m - 35*q + 3948 = -36*q. What is the greatest common factor of 10 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 802.719 months?\nAnswer: 66.89325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -84, -142, -234, -372?\nAnswer: -568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 1743306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*j - 18*j - 60. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 14791623?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/101 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*z**2 + 248*z**2 - 152*z**2.\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -4. Let f(n) = -n**3 + n**2 + 10. Calculate the least common multiple of f(0) and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 10750 = -s + 15747, -26487 = -2*v - 3*s. Suppose 0 = y - 8*y + v. Is 0 + (y*-4)\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28.6 + -29. Which is the closest to 1? (a) m (b) -1\/6 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -103495, -207220, -310945, -414670?\n\"Answer: -103725*c + 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 42*v + 297. Let k be x(-7). Factor 0 + k*j - 3\/2*j**2.\nAnswer: -3*j*(j - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 377458?\nAnswer: 3774580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 0 + 0)*(22 + 15 - 80 - 77).\nAnswer: -240*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 212 + -140. Suppose 2*s - s = 48. What is the highest common divisor of s and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.106 - 26040.33\nAnswer: -26040.436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4*v - 5. Let p = -122 + 128. Let y(a) = -1. Determine p*y(t) - m(t).\nAnswer: -4*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3060, 5826, 8612, 11418?\n\"Answer: 10*d**2 + 2736*d + 314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 9755319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 868 is divided by (124\/(-6)*5)\/(-9*28\/378)?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141892 is divided by 71.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.4055351 millimeters?\nAnswer: 0.04055351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 10289.05 to the nearest 100.\nAnswer: 10300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59, 3, 1 in descending order.\nAnswer: 3, 1, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -72 - (34 + -133) - 120?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 357 and 189.\nAnswer: 3213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, -8, -0.4, 2\/19, 4385, 131?\nAnswer: 131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 832604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one sixteenth of a tonne?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 279\/(2 + 7) - 37?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5)\/(-3))\/((-7)\/(-861)). Let a = 320 - p. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*a + 1466 + 561 = -111*a + 190 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 = -4*h + 67. Let z be (h\/39)\/(3*(-2)\/(-9)). Let y(w) = w + 24. Let v be y(-18). Solve 15 = -3*l - 0*j + z*j, v = 3*l + 5*j for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 192032327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46 + 48. Let n be 84\/7 - 5 - r\/1. Suppose -n*x = -442 - 298. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s - 2*f - 693 + 695, f + 6 = -9*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 3*r**2 - r. Let o be t(-3). Let g be 4\/12 - (-5)\/o. Suppose 2*n - 72 = -g*n. Calculate the remainder when 53 is divided by n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuububbbbuub. Give prob of sequence ub.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 1. Let z be l(2). Suppose -j + 3*d = -2*d - 194, 4*j = -z*d + 799. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -155, 118, 391, 664, 937?\nAnswer: 1210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1944.3 - 1839. Let m = s - 105. What is the biggest value in -10\/3, -5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 15. Which is the nearest to 2? (a) f (b) -0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 2\/839927 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 17*y - 5. Let t(u) = -9*u + 3. Let j be (-38)\/(-133)*21\/2. Calculate j*x(c) + 5*t(c).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 157 + -138. Suppose -7*j + u*j - 156 = 0. Calculate the remainder when 51 is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*-2*3\/12. Let y be (-2 - (-2 - 1)) + w. Suppose -5*t + y*t = -15. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 630 is divided by 147.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/94001 and 19\/32696.\nAnswer: 752008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j - 6. Let t(p) = -p**3 - 16*p**2 - 29*p - 22. Let k be t(-13). Let a = -162 - k. Give z(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56 + 116. Let t = 99 - h. Let b = t - -130. What are the prime factors of b?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c = -21*c + 2084043. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d + 18*h - 21*h - 19, -d + 6*h + 10 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 7*u**4\/12 - 6*u + 3. Let r(a) be the first derivative of o(a). Let n(m) = m. Determine r(n(t)).\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b**2 + 0*b**2 - 2*b**4 + (-2 + 3 - 5)*(-4*b**4 - b**4 + 0*b**4) to g*b**4 + s*b**3 + i + f*b + d*b**2 and give g.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4*c**2 - 64*c + 3. Let o be u(16). Suppose 2*d + m = -4*m + 49, 0 = 5*d + 5*m - 100. Let v = d + -15. Sort -6\/7, o, v.\nAnswer: -6\/7, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 979 - 698. Is 41 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 55 - 48. Let b be (2 + -2)\/2 - t\/(-28). Put b, -0.2, 12 in increasing order.\nAnswer: -0.2, b, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.29929 rounded to 1 dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11\/38 - -185\/114. Let g(p) = 12*p - 44. Let v be g(4). Which is the second biggest value? (a) -2\/15 (b) v (c) -0.4 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50767981 and 156919214.\nAnswer: 1726111354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 623365756.\nAnswer: 2, 13, 19, 263, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -1260*s + 7555. Let r be q(6). Put -2, 4, 2, r, 1 in descending order.\nAnswer: 4, 2, 1, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 - 8. Let z = c - -13. Is (-552)\/z*(-10)\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) - (sqrt(44)\/(sqrt(4)\/sqrt(2)) - sqrt(22) - sqrt(22)))\/(sqrt(2) + (2*sqrt(16))\/sqrt(8)).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7210557 is divided by 2403517?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of 13*u**9\/504 - 7*u**5\/30 - 5*u**2. What is the third derivative of a(z) wrt z?\nAnswer: 1560*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 494949533?\nAnswer: 13, 38073041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -567*g + 43334. Calculate w(76).\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10100200 + 1112?\nAnswer: -10022011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1607 - 1611. Let u(g) = -22*g + 22. Let i(c) = -11*c + 11. Let m(p) = 13*i(p) - 6*u(p). What are the prime factors of m(s)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 9*k + 357. Calculate the remainder when m(-20) is divided by 41.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -48*z - 28. Let j be o(-6). Let l = j - 249. Suppose -2*q - 60 = -5*s - q, -5*s - 2*q + 45 = 0. What is the highest common factor of s and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b**2 + 6. Let t(q) = q**2 - 1. Let l(c) = -h(c) - 6*t(c). Let k(g) be the second derivative of 1\/6*g**4 + 3*g + 0*g**3 + 0 + 0*g**2. Give k(l(s)).\nAnswer: 162*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 806*i - 17245. Let j be o(-22). Solve -16\/3 + 1\/3*a**5 + 16*a - 56\/3*a**2 + 32\/3*a**3 - j*a**4 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-351)\/(594\/(-22))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6592823011?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((0 + sqrt(300))*-2 - sqrt(300)) + (sqrt(300) - (sqrt(300)*-2*5 + sqrt(300))))*-3)**2.\nAnswer: 132300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-115)\/(-828))\/(23*(-24)\/(-4416)).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q - 28. Let x be p(0). Let b = -26 - x. Let -7*n**b + n**2 - 2*n**4 - 3*n - 6*n**3 - n + 2*n = 0. What is n?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 4*y + 18, -18*y + 17*y = 3. Solve -z - z - 10 = 4*j, -a = -2*j + 4*z for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f + 76 - 8 = 0. What is the second derivative of 52*a**f - 909*a**3 + 25*a + 909*a**3 wrt a?\nAnswer: 624*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -2001110011201211?\nAnswer: -2001110011201220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z - 572 = 14*z. What is the greatest common divisor of 26 and z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s - 11. Let v be n(-3). Sort v, -1, -5, -4 in increasing order.\nAnswer: -5, -4, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 122189222 from 36600.2.\nAnswer: -122152621.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6104.528 centimeters to nanometers.\nAnswer: 61045280000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + t + 1 + (1 - 4 + 5)*(-3 - t + 3) + (3 + 2 + 3)*(-2*t + 0*t + 0*t)*(1 + 1 + 0).\nAnswer: -33*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vzavaauzzavzaaazaua. Give prob of sequence zuu.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 85602\/59 - 1451. Is 1 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 - 37. Let g(j) be the third derivative of 49\/180*j**6 + 8\/9*j**4 + d*j - 77\/90*j**5 - 2*j**2 - 4\/9*j**3 + 0. Factor g(n).\nAnswer: 2*(n - 1)*(7*n - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p**2 - 5*p + 5. Let i be s(6). Let x = 503\/6 - i. Let h = 0.51 + -0.01. Which is the second smallest value? (a) -5 (b) h (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8093, 8096, 8111, 8144, 8201, 8288, 8411, 8576?\nAnswer: 8789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 558*r*y**5 + 86*r*y**2 + 2*r*y + 635994*r + 17*y**3 wrt y?\nAnswer: 11160*r*y**3 + 172*r + 102*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 17*i**2 - 59*i + 93. Let j be t(13). Sort 3, 5, -3, 15, j in ascending order.\nAnswer: -3, j, 3, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -135 divided by 1.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*g = -123*g - 243*g - 561*g - 32209 for g.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12485318?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 271451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 1725.30472381 and -0.4.\nAnswer: 1724.90472381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2643*x - 7916*x + 2640*x - 65 + 2641*x.\nAnswer: 8*x - 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.049 and -2?\nAnswer: 0.098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -72, -300, -750, -1494, -2604, -4152?\nAnswer: -6210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8308 - 36392. Round w to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9150661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1926 at most as big as 110828?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4\/9, 12, 1, -3 in decreasing order.\nAnswer: 12, 1, 4\/9, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 6*o**2 - 9*o + 4. Let w(s) = s**3 - 11*s**2 + 18*s. Let f be w(9). Let u be (1 + f)\/(1\/(-7)). Calculate j(u).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.019 - -0.291. Let j = -0.28152 + -0.02238. Let s = b + j. What is s rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 68522819*c*d + 16138*c + 10013 wrt d.\nAnswer: 68522819*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 2*q - 3 - 3, -4*q + 3*n = -13. Suppose q*l - l = -15, -4*t + 33 = 3*l. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*w**4 - 6*w + 1 + 2*w**4 - 54*w**3 + 54*w**3 to the form b + h*w**3 + m*w + q*w**2 + t*w**4 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 12 + 1)*(3*j + 2*j - 2*j) - 3*j - j + 5*j.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6596, -6577, -6576, -6599, -6652?\nAnswer: -6741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26.5 - 27. Put z, 1, -0.4, 4 in decreasing order.\nAnswer: 4, 1, -0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/3 - (-10)\/15. Suppose -4*o = 6*u - 2*u, -5*u + 3*o + 40 = c. What is the remainder when 41 is divided by u*(84\/20 + -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -r + 3*r**2 - 2*r**3 - 3*r**2 + 17 + 0*r**2 as t + w*r**2 + s*r + p*r**3 and give t.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 872537\/2696175 - -2\/39075. Let c = -10\/23 + w. Sort -3, c, 2 in ascending order.\nAnswer: -3, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**2 + 3230*m + 12888 = 0.\nAnswer: -1611, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 2)*(438789 - -2). Let g = -4374417\/10 + z. Let x = 1360 - g. Calculate the common denominator of 5\/6 and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**5\/5 + n**4\/5 - 9*n**3\/5 - n**2 + 16*n\/5 + 12\/5 = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2. Let u(k) = 1497940*k. What is i(u(t))?\nAnswer: 4487648487200*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 576\/29, -1\/4, -20.51 in ascending order.\nAnswer: -20.51, -1\/4, 576\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216)\/sqrt(8)*-2)\/((sqrt(54)\/sqrt(2))\/sqrt(3)) + -4)**2.\nAnswer: 16*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -848304*b**3 + 424568*b**2 - 53227*b + 26 = 0.\nAnswer: 26\/53019, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 93*y**2 + 2*y - 3*y + y as z*y + m + k*y**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = a - 5, 3*b - 3 = 3*a - 0*b for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15*70\/21?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 - (-1)\/(1 + 0)*6. Let s(k) = -k**2 + 1. Let f be s(1). Solve u = 2*r - f*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of -g**4\/24 - g**3\/6 - g**2. Let z be i(-5). Let a(q) = -4 - 1 + 4 - 2*q. Calculate a(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 15) to base 12\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 + 34. Let z(h) be the third derivative of 3\/20*h**5 + 0*h + 1\/8*h**4 + 0*h**3 - w*h**2 + 0. Find the second derivative of z(j) wrt j.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 13*s - 3*s**2 + s**2 + 5 + s**2. Calculate the remainder when d(6) is divided by 5\/10 - 31\/(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 20*y + 5. Let n be u(17). Suppose -b - n = -5*b. Suppose -3*v - 4 = x - 17, 0 = -4*v + 2*x + b. Solve -t = -3*t - v for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, 9, 8, 0.4, 5.\nAnswer: 0.05, 0.4, 5, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 7 - 38 = -5*z, -4*b = 4*z - 44. Suppose -q = -h + 5 + 2, 3*h - b = -2*q. Solve -h - 6 = 2*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -291*a**2*g**2*z + 39*a**2*g*w**2*z + 3*a*g**2*w**2*z + 2*a*w**2 + 147*a*w*z + 2*g**2*w*z + g**2*z - g**2 wrt a.\nAnswer: -582*g**2*z + 78*g*w**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11432 - 10213442?\nAnswer: -10230424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2625733 - 12725733. What is f rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 6:13 AM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 27\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w + 1. Let v(g) = g**2 - 1489*g + 4. What is -4*i(u) + v(u)?\nAnswer: u**2 - 1505*u","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 500960 is divided by 996.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*n = -18. Let t(h) = h**3 + 5*h**2 - 4*h + 8. What is t(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(-8 - (-5 + -1)). Suppose 3*r + 0 = -y + 6, -3*r = -4*y + 69. Sort 4, 0, j, y in increasing order.\nAnswer: j, 0, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201122020000 (base 3) to base 5.\nAnswer: 44332112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 481*o - 852*o + 433*o - 2 + 2.\nAnswer: 62*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3740209 litres in millilitres?\nAnswer: 374.0209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 222\/288997 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 4*c + 2078 + 1330, 3410 = 5*n - 5*c. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/(-2))\/(-4))\/(3\/1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26175*q + 1 - 1 + 27255*q to d*q + c and give d.\nAnswer: 1080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4, 101, 372, 893, 1748, 3021, 4796, 7157?\n\"Answer: 14*w**3 - w**2 + 10*w - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x + 25*x**3 + 5*x + 40*x**3 - 66*x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111534 - q**3 - 222932 + 111398.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2\/5 + 3212*j\/5 - 3216\/5.\nAnswer: 4*(j - 1)*(j + 804)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2954 - -4258. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41747?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 369366097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 164 + -150.4. Let x = -17.6 + t. What is the closest to 0.9 in x, 2, -3\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 485\/80 - 12\/192. Solve 0 = b*p - 24 + 30 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -3*j**4\/2 + 351*j**3\/2 - 7170*j**2 + 124200*j - 780000 = 0.\nAnswer: 20, 25, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/9, 5\/7, 22, 0.2, -2\/5 in descending order.\nAnswer: 22, 5\/7, 0.2, 1\/9, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47968*d + 594261 = 47971*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5819, 11618, 17415, 23210, 29003, 34794?\n\"Answer: -n**2 + 5802*n + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -3*w**3\/4 - 1419*w**2 + 51813*w - 468504 = 0?\nAnswer: -1928, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s + 115 = -13. Let l = -20 + 21. Let z = l - 3. Which is the fourth biggest value? (a) z (b) 0.2 (c) s (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31514774 greater than or equal to 31514775?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -420 = 603*m - 1217*m + 594*m for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -5*c**2 - 182955*c - 32226390 = 0.\nAnswer: -36414, -177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s - 39 = 199. Let m(z) = -5*z - 3*z + 0*z + z**2 + 26 - z. Calculate the least common multiple of m(6) and s.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 - 8 - -60) + -48?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7063.\nAnswer: 7, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 0*x = -3234. Let g = x + 1997. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2.6, 2, -2341?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2 - 1) + 4)*497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/10485 or -1?\nAnswer: -1\/10485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 794413 times 84\nAnswer: 66730692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 6:49 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 29605830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 8, -0.1 in increasing order.\nAnswer: -0.1, 1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express w**2 + 1437*w + 16*w**3 - 1439*w - 5*w**2 + 244*w**4 + 4*w**2 as x + r*w**2 + v*w**3 + k*w**4 + d*w and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/174 and 35\/95894068?\nAnswer: 287682204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -6*d**2 - 41*d + 9. Suppose -5*v - 4*i = -3*v - 2, -4*i = 3*v + 5. Let k be m(v). Is k at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 6*v**3 + 1 + 2*v - 3 + 2*v + 0*v - 3*v**2. Let n be y(-4). Let c be 2\/(-7) - n\/7. Calculate the highest common factor of c and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59410510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 = 10*g - 736. Solve -g*c = -79*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -2 + 10 - (2 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -d**3\/3 + d**2\/2 - 4*d - 28. Let f be k(4). Let x = f + 64. Calculate the remainder when x is divided by 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1424 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 + 28*v - 16 + (2*v - v - 4*v)*(-18 + 30 - 32) to l + k*v and give k.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 9, a: 11}. What is prob of sequence yaa?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g + 6. What is the units digit of c(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -169212, -169284, -169402, -169566, -169776?\nAnswer: -170032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.6 less than 73867.5?\nAnswer: 73871.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 3 - 1)*(-2*x + 2*x - 2*x) + (-2 + 5*x + 2)*(3 + 5 - 3) + x + 6*x + 0*x to the form q + o*x and give o.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 34*d + 26. What is t(-3)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhkkhhhh. What is prob of sequence hhhh?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -u**5\/60 - 5*u**4\/24 - 2*u**3\/3 - 19*u**2. Determine n(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*s**3 - 6*s + 6*s + 19*s**3.\nAnswer: -34*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.695748 to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 479?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.354 + -1189.\nAnswer: -1189.354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 72571 or 435425\/6?\nAnswer: 72571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(-1\/22))\/o**(3\/11) assuming o is positive.\nAnswer: o**(37\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/3 or -0.913?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4674a9 (base 12) in base 2?\nAnswer: -100010100100000000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 2*d + 2*d)*(2*d**2 - 2 + 2) + (-3*d - 3*d + 2*d)*(-2*d**2 + d**2 + 0*d**2).\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 != 119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 0*o. Suppose 0 = m - o - 5. Solve -3*q = -5*c + c + 32, 0 = -m*q + 2*c - 30 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 182 and 6712.\nAnswer: 610792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 1. Let c = l - 1. Solve 0 = p - c*p + 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/5 of a minute?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 1\/2 (b) 0.13 (c) 5693 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 0*m + 44 = 0. Suppose j = -4*y + 3, -2*y + 5*y - j - m = 0. Solve y*i = -5*k + 24, 3*k + i = 6*i + 2 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 5 - u - 7 + 1 + u**2. Let g be d(-2). Differentiate 1 + 7 - 4 + g + 3*t with respect to t.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -132*m**5 + 6214*m**4 + 20398*m**3 - 55480*m**2 + 29000*m = 0. Calculate m.\nAnswer: -29\/6, 0, 10\/11, 1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -36 - ((4 - 6) + -11 + (27 - 25))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p**3 - 26203*p**2 - 34786*p?\nAnswer: 12*p - 52406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -294*f**2 + 5*f + 5. Let s(n) = 2499*n**2 - 42*n - 42. Give 42*g(p) + 5*s(p).\nAnswer: 147*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2032*g + 29565 = -1627*g for g.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -535 + 13*b - 526 + 979. Let o = -4 - -6. Calculate the smallest common multiple of o and l(7).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11180161 a multiple of 1012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 8*q + 2. Let d be z(-8). Suppose d*p = -3*p. Solve 2*r + 2*r = p for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13\/((-325)\/(-10)) - (-303)\/5. Let u = d - 181\/3. Let -u*l**2 - 2\/3*l**5 - 2\/3*l + 4\/3*l**3 + 1\/3 + 1\/3*l**4 = 0. Calculate l.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((56\/(-7) - -3) + 4)*0. Let s(t) be the second derivative of -1\/6*t**3 + x + 10*t + 0*t**2. Give s(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m. Suppose -4*p + 4 + 4 = 0. Suppose -2 = 2*x + p*u + 6, -4*u = -5*x - 29. Let k = x + 6. Determine t(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f - 2*f + 5*f)*(-f**2 + 1 - 1) - 10*f**3 + 4*f**2 + 29*f**2 + 12*f**3 + 95 + 4*f**3 - 95.\nAnswer: 8*f**3 + 33*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 17*u**2 + 16*u + 7. Let m be j(-16). Suppose 0 = m*w - 9*w + 6. What is the smallest common multiple of 2 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 6 - 0. Suppose -3*p + 45 = d*p. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160535 is divided by 53423?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 335821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5628 and -4.\nAnswer: 22512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11051, 20382, 27993, 33884?\nAnswer: 38055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2*sqrt(126) - sqrt(126)))\/(-3*sqrt(50)).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/7*h**3 + 0 - 6\/7*h**2 + 4\/7*h - 2\/7*h**5 + 6\/7*h**4 = 0. Calculate h.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -24*p**3 + 2*p**2 - p. Is u(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -408*g - 2146 = -334*g for g.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + -228915329343305.\nAnswer: -228915329343305.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3 + (-2*sqrt(405) + sqrt(405) + sqrt(405))*4 + sqrt(405))**2.\nAnswer: 54*sqrt(5) + 409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 18 = -p, 5*q - 17 = 4*p - 0*p. Suppose -i + p*i = -21. Let d be 30\/i*1 - -2. What is the closest to 0 in -1\/2, -3, d?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o. Let z = 6 + -4. Let b(r) = r**3 + 17*r**2 + 16*r + 2. Let n be b(-16). Let q(a) = 5*a**z - 3*a**2 + n*a**2 - 2*a**2. Calculate m(q(k)).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) -163\/3 (c) -0.5 (d) 20 (e) -12 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(2\/9))**38)**(1\/27))**(-50) assuming r is positive.\nAnswer: r**(-3800\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 7:55 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -9. Let k be (-4)\/d*15\/25. What is the third biggest value in k, -5, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.071436*5\nAnswer: -45.35718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 512096390 to the nearest integer?\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 252.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -961, -3792, -8517, -15142, -23673, -34116?\nAnswer: -46477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 77312, 77304, 77296, 77288?\n\"Answer: -8*h + 77320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/136 or 1\/1759845?\nAnswer: 1\/1759845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 166.5853 meters in nanometers?\nAnswer: 166585300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 30*x**2 - x - 25. Let i be q(9). Let y = 3403 - i. List the prime factors of y.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 8:28 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-1833)\/(3 + -4 + -86) + -13.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 7 - w - 8*w + 2 + w**2. Let x be u(8). List the prime factors of 5\/1 + 3 + x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 33\/5 - (-6)\/15. Let m = 13 - z. Suppose -m*y + 12 = -5*y. 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: Evaluate (-348)\/87 + 24\/5.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 6*d - 17. Let g be 6\/(-27) + 217\/189*15. Suppose -g*j - 4*j = -168. Calculate m(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 4:52 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -13455 equal to -13451?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -745?\nAnswer: -2235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2212, -5 in ascending order.\nAnswer: -2212, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -22622, -13, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 5, f: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 5*f + 35, -4*d - 4*f + 9*f - 19 = 0. Let a be (-2)\/1 + d*(-4)\/6. Suppose a*s = s - 3*g + 52, 5*s - 300 = -5*g. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 31326, 62650, 93976, 125304, 156634, 187966?\n\"Answer: j**2 + 31321*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -18. Let i(r) = r**3 - 21*r**2 + 5. Let b be i(21). Let k = 0 + 0.2. Put b, k, d in increasing order.\nAnswer: d, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101201100020002 (base 3) to base 9.\nAnswer: -11640202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -651 + 636. Sort -2\/55, -0.3, d in increasing order.\nAnswer: d, -0.3, -2\/55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12 - -1068?\nAnswer: 1080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47426?\nAnswer: 2, 23, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of 0*h**2 - 9\/5*h**5 - 8 - h**3 + 3*h**4 + 0*h. Suppose n(o) = 0. Calculate o.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.1 - -3.1. Which is the third biggest value? (a) -5 (b) l (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 5*q**2 - 8*q + 6. Let j be (1 + 0)\/(4\/(-20)). Let t(u) = -4*u**2 + 7*u - 5. Give j*b(y) - 6*t(y).\nAnswer: -y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 1381879.\nAnswer: -1\/1381879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + -213002\nAnswer: -213002.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, t: 4, l: 5, z: 1}. Give prob of picking 1 z and 1 t.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 171742986 and 75654.\nAnswer: 8406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - 2. Let j be 1*g*24\/(-40). What is the closest to 3 in j, 1\/3, -0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -6 - 2*y - 8*y - 6. List the prime factors of v(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9298927 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 2\/5, 3, 1, -2 in decreasing order.\nAnswer: 3, 1, 2\/5, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + i, 3*i - 10 = -4*v + 4*i. Suppose v*k - m - 1 = 4, -5*k + m = -11. Let z(t) = -5*t + 1. Calculate z(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 18. Let d be (-5)\/((-75)\/132) - 52\/390. Let f = 9 - d. What is the smallest value in -0.1, f, q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tc when two letters picked without replacement from octrrtcro?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 6*x**2 - 9*x - 1. What is k(-5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 8*s**2 - 6*s - 2. Let k(t) = -t**3 - 7*t**2 - 10*t + 17. Let v be k(-5). Let c(o) = -23*o**2 + 17*o + 5. Give v*q(r) + 6*c(r).\nAnswer: -2*r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/20 + (-46)\/(-10). Suppose 3 = -4*w - 5*t + 6, 0 = -f*w - 4*t + 15. Suppose w = s - 0. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 114 = 126 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -120, -1161, -4102, -9927, -19620?\nAnswer: -34165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 6, 48, 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13127, 15843, 20371, 26711, 34863?\nAnswer: 44827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 10\/6463?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 44702 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (3 - -13) - (69 + 0 - (-49 - -46)).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0 (b) 0.11 (c) -2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 3:01 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.3 and -1570069.\nAnswer: -1570070.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1379*y - 35613 + 6654 for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a meter in millimeters?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20559 + 20578.982. Let v = w + 0.018. Let k = v - 20.0003. What is k rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(3\/7)*y*y*y\/(y**(1\/4)\/y)*(y*y**(-1))**(-9\/5)*((y\/((y**(-10)*y)\/y))\/(y*y*y*y\/(y*y\/y**8*y)))**(-28) assuming y is positive.\nAnswer: y**(-1423\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 19350 = 4*w. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2498423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g - 795. Give z(-95).\nAnswer: -890","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -298, -274, -238, -184, -106, 2, 146, 332?\nAnswer: 566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**3 - 9*j**2 + 6*j**2 + 8*j**2 to the form w*j**2 + d + y*j + m*j**3 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sts when three letters picked without replacement from {t: 2, s: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/12)\/(3\/(-72)). Find the first derivative of -117*j**3 + d + 218*j**3 - 116*j**3 wrt j.\nAnswer: -45*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(5) + sqrt(5)*-1))**2 + sqrt(5) - (sqrt(180)*3 - sqrt(180)).\nAnswer: -11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 9*u + 27 = 0, 0 = 2*s - 2*u - 6 - 8. Let q be -1 - 7\/(28\/(-12)). Solve -4*d - 6 = s*b, 4*d - 1 = -q*b - 5 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8106 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 5*o + 6. Let k(a) be the first derivative of a**2 + 2*a - 12. Calculate 8*k(l) - 3*t(l).\nAnswer: 3*l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1022554 by 587.\nAnswer: 1742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 5394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/3904832 and -23\/79152.\nAnswer: 11714496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*u = 0. Let o = 709\/5 - 445951\/3145. Let d = o - 2526\/3145. Which is greater: d or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11194 and 4.\nAnswer: 22388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -64 - -68. What is the closest to -1 in 0.02, r, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*r - 246, -51*r + 48*r + 723 = 3*d. Sort -3, -5, d, 0, 3 in increasing order.\nAnswer: -5, -3, 0, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 4*c - 1 = 0, 21*t + 67*c = 48*t - 23*t - 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 46486, 5, -2\/7, 1\/10, 0.5 in decreasing order.\nAnswer: 46486, 5, 0.5, 1\/10, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3 = -c. Suppose -2*z + 4*a - 72 = 0, 0 = c*a - 0*a. Calculate the remainder when 25 is divided by (-4)\/18 + (-332)\/z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -67 + 66.5. Which is the nearest to 0? (a) -4 (b) f (c) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (0 - 8 - ((-1 - -1) + -1))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -525847, -1051703, -1577557, -2103409, -2629259?\n\"Answer: h**2 - 525859*h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 45\/60 - (-9)\/4. What is the tens digit of ((62 + 1)\/q)\/((-6)\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u = -2*u - 16. Suppose 0 = 5*p + u*r + 1, 2*p + p = -r. What is the closest to p in 0, -13, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 + (1 - (-2)\/1). Suppose 4*i = q*i - 148. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 28*d**2 - 4*d + 1423. Let p be w(-26). Calculate the greatest common divisor of p and 39375.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dl when two letters picked without replacement from {z: 3, v: 2, l: 3, a: 2, w: 4, d: 2}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236 is divided by 25?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -915 - -919. Solve -2*j + 3*g = 0, -3*g - 2*g = y*j + 22 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19031\/12 - 1592. Calculate the common denominator of k and 0 + -4 + (-114)\/132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29842853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1086 is divided by 52?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 726984 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: List the prime factors of 1327177.\nAnswer: 61, 21757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 + 36. Let b(h) = 14*h - 14*h - h**p. Let k(c) = 6*c**2. Determine k(b(z)).\nAnswer: 6*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 1 - 3*c**2 - 6 + 5. Let m(b) be the first derivative of b**3\/3 + b + 1. Let s(r) be the first derivative of m(r). Determine s(l(v)).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 6*b**2 - b + 9. Suppose 0*z - 36 = -4*z. Let f(y) = -4*y**3 + 25*y**2 + 3*y - 37. Let r(s) = z*p(s) + 2*f(s). Calculate r(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -339 + 735. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + y - 58 = 68 + 72 - 179, 2*q - 271 = -13*y for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**2\/11 + 468*a - 1832894\/11 = 0. What is a?\nAnswer: -2891, 317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2208174 is divided by 1104084.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14211 or 14195?\nAnswer: 14195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**4 + 18*d**3 - 18*d**2 - 34*d + 30.\nAnswer: 2*(d - 1)**2*(d + 5)*(2*d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of 5*t**6\/6 - 211*t**5 + 44941*t**4\/3 - 23632*t**3 + 14112*t**2 + 2374*t + 2. Factor q(j).\nAnswer: (j - 84)**2*(5*j - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 21*v - 20. What is l(-21)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4130175 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is a1 (base 16) in base 10?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 529299519 to the power of 1\/4, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -179.6 or 14\/51?\nAnswer: 14\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*q - 31*q - 8 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 + 2*t - 7. Let s be o(2). Suppose n = -5*h - 0*h + 628, -s*h = -3*n + 1984. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76 and 1204966.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -566*y + 578*y = 16464. What is the greatest common factor of y and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 295208 and 14.\nAnswer: 2066456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -20*n + 16. Let d(u) = 4*u - 3. Let v(t) = -16*d(t) - 3*s(t). Let h(i) be the first derivative of -5\/2*i**2 + 0*i + 19. Give v(h(f)).\nAnswer: 20*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1942, 3791, 5548, 7213?\n\"Answer: -46*m**2 + 1987*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 8*c**2 + 12*c - 1. Let s be n(-10). Suppose s = 2*q - 7. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -965 + 1015. Let d(y) = 3*y - 2. Let u be d(9). What is the greatest common factor of u and a?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -787422 divided by 10?\nAnswer: -393711\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*i = -48. Let z = -4 + i. List the prime factors of z\/4 + 6 + -2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100110110110101000101110100 + 101?\nAnswer: 100110110110101000101111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1.946106us?\nAnswer: 1946.106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 489*a - 484*a = 15400. Suppose -61*n = -41*n - a. List the prime factors of n.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4488005 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of 7*s**4\/12 - 49*s**3\/6 - 2*s**2. What is the first derivative of o(l) wrt l?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(136)*1 - 1*-1*sqrt(136))\/(sqrt(24)\/sqrt(3)*3 - -2*sqrt(8)*-1).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -56937, -56930, -56923?\n\"Answer: 7*g - 56944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 3*x - 81. Suppose -w - x = -4*w. Suppose -2*h + 3*c = -14 - w, -3*c = -h + 19. Calculate the highest common divisor of 4 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(20) + (-1*sqrt(980) - sqrt(980) - sqrt(980)))*-4)\/((3*(1*sqrt(60) + sqrt(60)))\/sqrt(6)).\nAnswer: 40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2062.3 to the nearest 10.\nAnswer: 2060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 30*q**2 + 2. Let d be c(-30). Find the second derivative of -12*l - 3*l**3 + 36*l**2 + l + 0*l**3 + d + l**2 wrt l.\nAnswer: -18*l + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -90*p + 1090. Calculate z(12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8577, -2\/5, -0.7, 5, -0.3.\nAnswer: -0.7, -2\/5, -0.3, 5, 8577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 595535.409 minutes?\nAnswer: 59.08089375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -352107\/8 (b) -0.21 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -6*o**2 + o - 4. Let t be f(-4). Let z be 2835\/(-91) + (-6)\/(-39). Let v = z - t. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -1, -14, -13150, 3, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 49\/5 of a decade?\nAnswer: 1176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-6*(((sqrt(75) - -3*sqrt(75)) + sqrt(75) + sqrt(75) + sqrt(75) - sqrt(75)) + 2)*5)**2.\nAnswer: 108000*sqrt(3) + 2433599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 217076777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-10) + (-504)\/(-315). Let m(u) = -u**2 - 3. Let f(r) = -134*r**2 + 34*r - 12. Let y(w) = x*f(w) - 4*m(w). Find the second derivative of y(t) wrt t.\nAnswer: -260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 36*k + 332. Let g be h(-9). Let z be (-18)\/(-3)*(-2)\/4. Let l = 0 - z. Let s(o) = 5*o. Let j(u) = -2*u. Calculate g*j(m) + l*s(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16590 divided by -210?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1843a77 + 2?\nAnswer: -1843a75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1673\/1122 + 13\/102. Calculate the common denominator of s and ((-19)\/7)\/(28\/(-28)).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 0 + 5 - (11 + -8 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + c + 16 = 5*c, -12 = 3*w - c for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 11:30 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*b - 16. Suppose -898 - 542 - 1416 = -714*z. Solve -z*y = 4*i + b, y - 7 = -0*y + 2*i for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17.544 - 0.056. Let n = -1.6 - y. Let a = 15.9993 - n. Round a to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.35 - 0.35. Is u smaller than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285 = 3*c - 8*c. Suppose -181 = 3*f + 221*o - 225*o, 3*f - 3*o = -180. Let q = f + c. Are q and 4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of 0*r + 0 - 31*r**2 + 53\/6*r**3 - 5\/12*r**4. Let g be l(5). Solve -h - 2*f + 10 = 3*h, 0 = f - g for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*w + u, -3*w + u + 3 = -14. Let z(r) be the third derivative of -r**2 + 0*r**w + 0*r + 0 - 1\/60*r**5 + 0*r**3. Let c(i) = -i. Determine z(c(x)).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 11*c**3 - 41*c**2 - 38*c - 17. Let o(y) = -4*y**3 + 14*y**2 + 13*y + 6. Let l(a) = 17*o(a) + 6*t(a). Is 16 a factor of l(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92326324 is divided by 393.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -17*t**2 + 60*t - 9. Give z(4).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 299566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -l**4\/12 + l**2\/2 - 3*l. Let s(y) be the first derivative of u(y). Let z(k) = -2*k. Determine s(z(r)).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l - 12. Let t be m(-9). Let y = 6 + t. Suppose 39 = c + 3*z, -3*c + 0*z + 81 = -y*z. Is c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 110*n**2 + 6*n - 215. Is z(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of -7*a**8\/2880 - a**7\/180 - a**6\/180 + a**5\/60 + 2*a**2. Let d(u) be the third derivative of y(u). Factor d(h).\nAnswer: -(7*h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 920\/7 or 131?\nAnswer: 920\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 3*q + 13, 4*x - 9 = 3*q + 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113 - -73 - -53 - (0 + -2 + -18).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 4*r**2 - r + 2. Let a be s(4). Let w(h) = 8340*h**2 + 8358*h**2 - 4 - 16694*h**2 + h. What is w(a)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/352892 and -109\/60.\nAnswer: 5293380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - -35. Let p be (c\/(-28))\/(2\/(-14)). Differentiate -2 + 1 - p*w**3 + 11*w**3 with respect to w.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006339 rounded to six decimal places?\nAnswer: 0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mi when two letters picked without replacement from {i: 3, m: 1, j: 1, s: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 204376 or -1\/225?\nAnswer: -1\/225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 122448880?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n**2 - 4*n + 16. Let h be a(3). Suppose -4*g - 38 = -z, z = -3*z - 2*g + 62. Let l = z - h. Does -13 = l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2101 smaller than -2098?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 2:34 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -4*b**2. Let s be g(-1). Let u(q) = -5*q**2 - 4*q + 9. Let a(l) = 4*l**2 + 4*l - 8. Let o(y) = -4*a(y) - 3*u(y). Calculate o(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1151520 (base 8) to base 11.\nAnswer: -1a6661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) -6\/7 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3233212 + -10?\nAnswer: 3233202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-36))\/((24\/45)\/(-8))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q + 1. Suppose 5*r + 30 = -5*k, 5*r + k + 18 = r. Let y(w) = -41*w - 19. Let u(d) = r*l(d) - 2*y(d). What is the derivative of u(t) wrt t?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/80559222 and -58\/4285065?\nAnswer: 402796110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 62*r**2 + 82 + 62*r**2 - 16*r - 125*r**2 with respect to r.\nAnswer: -2*r - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 6*z = -3*m + 15, -3*z - 4*m + 23 = 0. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.94798 centimeters in millimeters?\nAnswer: 239.4798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - (-52)\/12 - 1. Which is the closest to j? (a) 5 (b) -0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and 6125.433978.\nAnswer: 6121.433978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**24*m*m**(1\/6)*m*m assuming m is positive.\nAnswer: m**(163\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 3:11 AM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2416*v**3 + 7157*v**3 - 2345*v**3 - 2216*v**3 + 4*v.\nAnswer: 180*v**3 + 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)*-2)\/(sqrt(84)\/sqrt(7)*1 + sqrt(12)))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/419, -2\/3, -76\/5?\nAnswer: -76\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 169599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a kilogram in grams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 10. Suppose n - o = 3*n. Is n >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/100)\/(10*2\/25)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-5 - (-5 + (-12 + 21 - 4) - 1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 4 + 1 - -1) + -5 + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (0 + -1 - 0)) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -18*v + 4655. Is k(102) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/10 of a century?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -3*s - 12, -50 = -2*s - l - 56 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = -2*l + 2*g + 22, -4*g = 2*l - 20. Suppose -l*m + m = -5*y + 305, 0 = -m - 4. Let s be (-133)\/y - 4\/(-2). Which is bigger: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8168600 (base 10) to base 4\nAnswer: 133022102120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107, -92, -53, 22, 145, 328, 583, 922?\nAnswer: 1357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 719700953?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qsnq when four letters picked without replacement from {y: 3, n: 7, d: 2, q: 4, s: 3}?\nAnswer: 7\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 97 + 3*n - 40 - 33. Give t(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.0543985s to minutes.\nAnswer: 0.034239975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 32 + 6*w - 11*w - 56 + 13 + 23.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**4\/4 + 3960*b**3 - 62647141*b**2\/4 - 313901325*b\/2 - 251222500 = 0. Calculate b.\nAnswer: -8, -2, 7925","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201100 (base 3) to base 2.\nAnswer: 1000001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - f - 1. Let u(w) = 2*w**2 + 10*w + 14. Give -12*q(m) - u(m).\nAnswer: -14*m**2 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1 - 1) + 13 - (24 - 19)) + -12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -8*a**3 - 3*a**2 - 3*a - 3. Let s(r) = 2 + 3 - 4*r**2 - r + 3*r**2 + 0 - 6. Give -2*l(o) + 6*s(o).\nAnswer: 16*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 114 - 59. Let a = z - 34. List the prime factors of a.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80, 58, 50, 62, 100, 170?\nAnswer: 278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14887489013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 110 + -110. Let r be -2 + -2 + v\/(7 + -5). Which is the smallest value? (a) -2 (b) 0.3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7713 - -7759. What is the highest common factor of b and 2231?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 97988710*t**3 + 87864692*t**2.\nAnswer: 587932260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 14) in base 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 3\/4, -1\/5, -2, 3, 79?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p - 49. What is d(0)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 1248*q**2 + 1003*q**2 - 2912*q**2.\nAnswer: -3157*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 272. Let o(a) = -a + 137. Let d(y) = -3*h(y) + 5*o(y). Let t be d(-27). Sort -13, -3, t in increasing order.\nAnswer: -13, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1098)\/(-4) + 4\/8. Calculate the greatest common divisor of 25 and m.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1048991321 rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a - 24, 4*u + u = 2*a + 2*a - 24 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 + (6 + 0 - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4*9.4645\nAnswer: 37.858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -67a9?\nAnswer: 67a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 5*u - 17, 0 = -238*f + 236*f - 4*u - 18. Let n(t) = 11*t**3 + 2*t - 2. Let a(g) = g**3 - g + 1. Calculate f*n(w) - 2*a(w).\nAnswer: -13*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 17) + 2 + (1 - -3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -42a50 (base 16) to base 14\nAnswer: -716a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*10\/(-14))\/(22\/(-770)*-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -0.4 (c) 0.2 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 98*p**3 - 8*p**2 + 7*p wrt p.\nAnswer: 588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/43? (a) -0.1 (b) 0.5 (c) 3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 418408009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -3. Suppose -q = -2 - r. Suppose q*u - 2*w = w - 654997, -3*u - w - 393001 = 0. Round u to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 663072 is divided by 34898?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3368 (base 14) to base 11\nAnswer: 6772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 824 is divided by 27.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 8. Let l(c) = c - 1. Let w(t) = -6*l(t) - 6*m(t). Let o be w(-7). Solve 0 = -o*s - s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20714 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427254 is divided by 3063?\nAnswer: 1497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 331?\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-12 + (-1 - -4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.1 + -1. Let t(f) = f**3 - 10*f**2 - 11*f - 3. Let u be t(11). Put -0.2, j, u in decreasing order.\nAnswer: j, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26 - (-27 + 94)) + -24 + 10 + (1 - 1).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 163848423 and 5084?\nAnswer: 1271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d. Let z(l) = 19*l - 24. Let g(u) = 4*o(u) - z(u). What is g(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*t - 52*t = -16. Let k = -12.97 - -13. What is the closest to k in 1, -0.1, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.68237 rounded to two dps?\nAnswer: 2.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2734013, -10936067, -24606157, -43744283?\nAnswer: -68350445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbhnqsbhnhbbnnbqnibq. Give prob of sequence bi.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4785 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 1 + 5. Suppose 2*k - y*j = 5*k - 6, 5*k - 5*j = -10. Solve -h - 3*h + 4 = k for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 5*x + 897 = 2*x, 3*p = 3*x - 543. Let u = -1622\/9 - p. What is the second smallest value in -2, 20, 1\/3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 516994 to the nearest integer?\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11012012102 - -2000000?\nAnswer: -11010012102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -106\/17 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 333 and 36387.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 1004 - 180 = 0. Let k be n\/6 + (-8)\/24. Let b = -21 + k. What is the greatest common factor of b and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12712 (base 12) to base 16.\nAnswer: 627e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.501 centuries to years.\nAnswer: 2050.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.037 - -3.337. Let j = p - 0.3. What is the smallest value in j, -5, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 3 - 0 - (0 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 267*u**3 + 4*u**2 - 17*u + 3. Let q(l) = 802*l**3 + 14*l**2 - 51*l + 10. Let s(d) = 7*o(d) - 2*q(d). Find the second derivative of s(g) wrt g.\nAnswer: 1590*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 540, 1033, 1526, 2019, 2512?\nAnswer: 3005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*s = 56*s - 12. What is the nearest to 2\/3 in s, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -30 + 15 + -4 + -1?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 134 + 31. What are the prime factors of l?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w. Let h(y) = -y**2 + 1. Let m be h(2). Let n(f) = 7*f**2. Let g(s) = -14*s**2. Let q(a) = m*g(a) - 5*n(a). Determine t(q(o)).\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 22 - 4. Let k = j + 0. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 + 0.5. Let n = 5 + -6. Let w = n - -1. Which is the third smallest value? (a) w (b) 0.1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.374 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-7)\/2 + 4)*438. Suppose 1 = 5*b - o. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.045839 rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*p - 5*p + p)*(-1 + 9*p - 4 + 3) as n*p**2 + h + j*p and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 574\/70 + (-2)\/(1 - -9). Suppose -s*z + 8 = -6*z. Suppose -w + z*i = w - 14, 0 = w + i - 16. What are the prime factors of w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, d: 3, h: 3, u: 2, y: 5}. What is prob of picking 1 h and 1 d?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3166 + 5267. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 + -45. Suppose -5*v + 6 + y = 0. Find the third derivative of -56*x**2 - 39*x**v + 17*x**2 + 19*x**2 wrt x.\nAnswer: -234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-5)*((-195)\/104)\/(-3)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 5 + (-4 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d - -b85?\nAnswer: b76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2437*q - 43982. Determine z(-18).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i = 2*o - 11*i - 6, 0 = 2*o + 5*i + 15 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14898, -29645, -44476, -59433, -74558?\nAnswer: -89893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 5:30 PM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -4*g - 1107, -4*b + 0*g + 4373 = -5*g. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) -4 (c) -16619\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*z - 0*z - 132, 341 = 5*z + 3*w. Let u = 69 - z. Solve u*b = -1 - 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-3 - 38\/(-13)). Let m = k - 13. Suppose -q + 0*q + 419 = m. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2299 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -584 - -260. Let i = f + 492. What are the prime factors of i?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (374\/68)\/((-3)\/6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/3 - 9\/((-54)\/(-4)). Solve -3*v + o = 5 - s, 4*o = -20 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3 = 3*v + 13, 3*v = -3*m - 66. Let d be m\/(25\/(-5)) - 5*-62. Round d to the nearest ten.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 952759861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -q**4\/6 - 5*q**3\/3 + q**2. Let j(f) be the second derivative of -f**3\/3 + 51*f + 2. What is x(j(z))?\nAnswer: 8*z - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -544*s + 283*s = -o - 262*s + 2, -5*o + 6*s + 65 = 0 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4469758*f**2 + 1115594587*f wrt f?\nAnswer: 8939516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 6:15 AM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - j = 4, 3*n - 2*j + 2 = -0*j. Let p(s) = s + 5. Let l be p(-5). Solve l = -r + n + 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000516359 rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 221 + -218. What are the prime factors of 2*b\/(-1)*-69?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1348285?\nAnswer: 5, 41, 6577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 37*n**2 - 66*n - 15. Suppose 0 = r - q - 30, -4*r + q + 190 - 55 = 0. Calculate the remainder when p(r) is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 541, 1061, 1557, 2035, 2501, 2961, 3421, 3887?\nAnswer: 4365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 4*i - 4*i)*(-175 - 7*i + 175 + (-i + 0*i + 0*i)*(2 - 2 - 1)).\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 552 and 88?\nAnswer: 6072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 6*w**2 - 6*w - 5. Let c(s) = -s**2 + 7*s - 5. Let h be c(5). Let b be t(h). Is (-54)\/b + (-14)\/35 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 589*k = 565*k + 372624. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 k when four letters picked without replacement from bybbsbbkkyskkssbkb?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5511 or 5510?\nAnswer: 5511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 0 - (15 + -28)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -10. Let z = 0.02 + -0.42. What is the nearest to -1 in r, z, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 5 (b) -0.5 (c) -1.54 (d) -0.1 (e) -0.28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of g**8\/84 - 4*g**7\/21 + g**6 - 8*g**5\/3 + 25*g**4\/6 - 4*g**3 - 3*g**2 + 3*g. Solve z(o) = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10700*h + 56523 = -10019*h for h.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a century in decades?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**5\/4 - 21*b**4\/4 - 21*b**3\/2 - 3*b**2\/2 + 45*b\/4 + 27\/4 = 0 for b.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -j**5\/15 - 951*j**4\/4 - 301467*j**3 - 286695117*j**2\/2 + 558. Find h, given that a(h) = 0.\nAnswer: -951, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 114 and 11689408.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1083*x = -1070*x - 78 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17128549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m*m\/(m**(-1\/4)*m*m)*m)*m)**8*(m*m**3)**(1\/13) assuming m is positive.\nAnswer: m**(186\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -8555d3?\nAnswer: 8555d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3\/196 + -6777\/980. Calculate the common denominator of 27\/14 and d.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 7*l + 14. Let g(j) = -8*j - 15. Suppose -5*c + 3 = 4*a, -3 = 2*a - 0*c + c. Let w(r) = a*p(r) - 2*g(r). Find the first derivative of w(d) wrt d.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**2 + 50 + f - 88 + 37 + 75*f**4 to s*f**2 + l + d*f**4 + w*f**3 + v*f and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 11*w**3 + 3*w. Let k(p) = 7*p**3 + 2*p. Let n = -3 - -6. Suppose n*c - 68 = 19. Suppose 4*d - 9 + c = 0. Give d*x(z) + 8*k(z).\nAnswer: z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 3 (c) 0.2 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69 + 0 + (-204 - (4 + -170)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p - 8. Let u(z) = z**3 - 4*z**2 + 2*z - 1. Let y be u(2). Let g be d(y). Let k = g + 1. Sort 5, -4, k in descending order.\nAnswer: 5, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-608)\/19*((-66)\/(-3))\/44.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 261*p**2 - 131*p**2 - 132*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61 + 60. Let r = q + -116. Which is the smallest value? (a) 1.4 (b) r (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138093293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 12617740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -159487*z - 5103577. Calculate m(-32).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 917 and 142527.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q**4 - 4410*q**3 - 1213685*q**2 - 106404480*q - 2910801920 = 0.\nAnswer: -377, -64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**3 + 265 - 110 - 157 - 28*o**2 + 3*o in the form h + x*o**2 + q*o**3 + w*o and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u = -6*u + 26 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -105\/6823528 and -117\/340?\nAnswer: 34117640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 17*j**2 - 27*j - 30. Let f be p(15). Let v = f + -25. Let a(k) = -k**2 - 16*k + 19. What is the tens digit of a(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -95 + 97. Let o(s) be the first derivative of -1\/9*s**w - 4\/9*s**3 + 1\/9*s**6 - 22\/45*s**5 + 7\/9*s**4 + 2\/9*s + 2. Find l, given that o(l) = 0.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/5*(80\/400)\/(3\/5)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.06 - -6.06. Let h = g + -5. Suppose 0 = 2*x - 5*u - 6 + 11, -4*x - 18 = -2*u. Which is the nearest to h? (a) x (b) 1\/3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8027*i - 8027*i - 8028*i - 8124*i - 8041*i + 40237*i.\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 33*n**2 - n + 0*n + n**2 - 18*n**3 + 24*n**2 - 10*n**3 to t*n + d + b*n**2 + m*n**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 3)*(-4*z + 6*z - 72150 + 72193).\nAnswer: -2*z - 43","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -353526685 greater than or equal to -353526683?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 393*n - 1246. What is y(3)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -a**5\/45 + 116*a**4\/27 - 458*a**3\/27 + 76*a**2\/3 + 769*a. Find y, given that u(y) = 0.\nAnswer: 1, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -161066, -161026, -160976, -160916, -160846?\n\"Answer: 5*k**2 + 25*k - 161096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**12)\/(j\/(j**(-8\/11)\/j)))\/((j*j**(-1\/19))\/((j*j\/(j*j**(-1\/8)))\/j)) assuming j is positive.\nAnswer: j**(15801\/1672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y - 7. Let k be v(4). Let z = k + 4. Suppose -b - z + 13 = 0. Solve b*i - g = 3*i - 6, 22 = -5*i + 3*g for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence azv when three letters picked without replacement from vsammzammazvmvm.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -22*m - 189. Let k(v) = -19*v - 189. What is 6*d(n) - 7*k(n)?\nAnswer: n + 189","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 27*l**2 + 2*l - 19. Let r(n) = 55*n**2 + 5*n - 39. Suppose 0 = -34*v + 37*v + 12. Let d(f) = v*r(f) + 10*i(f). What is the derivative of d(q) wrt q?\nAnswer: 100*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160\/28 - 336\/49.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-312)\/(-22) - (-2)\/(-11). Let a be 4\/r + (-38)\/(-14). Factor -2\/7*o**a + 0 + 0*o**2 + 2\/7*o.\nAnswer: -2*o*(o - 1)*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 3*g = -4*o + 92, -19*o - g + 945 = 454 for o.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + -17805?\nAnswer: -17817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 136*x - 4492 + 4492 - 5 + 5 + 2*x + (2 - 3 + 0)*(-4*x + 5*x + 0*x) + (-1 + 3 - 5)*(-x + 2*x + x) + 0*x + x - 2*x.\nAnswer: 130*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 406 is divided by 146?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -11 - (-45 - -21) - (6 - 2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01049 rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97564, 195125, 292686?\nAnswer: 390247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 30 = -7*y. Let c = y - -7. Suppose -x + 3 = -0*x, -4*t + 7 = x. What is the remainder when c is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**2 + 2*k. Let g(j) = -3*j**2 + 4*j - 370. Calculate g(q) - 2*r(q).\nAnswer: q**2 - 370","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 7:33 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((12\/(-24))\/1)\/5. Let q = 1.1 + -0.1. Let t = q - -5. Put v, t, 0.3 in descending order.\nAnswer: t, 0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -1419*q**2 + 661*q**2 + 2 + 761*q**2. What is j(-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of d**4\/24 + 11*d**3\/6 - 6*d**2 + 17*d. Calculate u(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 6*b**2 - 10*b + 6. Let v be p(7). Let r be (-12)\/v*5\/2. Solve 3*j + r*w = 4*j - 6, -j + 8 = -4*w for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217*k - 120976 + 117504 = 0 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5*j - 448. Let l(a) be the first derivative of -a**2 - 1930. Give p(l(k)).\nAnswer: 10*k - 448","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)*4 + sqrt(7))*-3.\nAnswer: -27*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 5 = 10. Suppose d + 2*i = 6, -2*d + 9 = 3*d + w*i. Find j such that d*j**2 - 2\/3*j**4 + 4\/3*j**3 - 4\/3*j + 2\/3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 275686 - 27291388\/99. Let s be (-3)\/36*568\/(-3). Let c = u - s. Which is smaller: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus 32893469?\nAnswer: 32893471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -5 (b) -1 (c) 7 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4*(-54)\/9*2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 12:29 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -1 (b) -5\/4 (c) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - -1. Let a(u) = 2*u**2 - 17*u + 2. Let i be a(16). Calculate the remainder when (-28)\/49 + i\/7 is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2001512 (base 6) in base 10?\nAnswer: 93716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 80 = -0*c. Suppose -5*j + j = -c. Suppose 0 = -5*l + 4*m + 76, -2*l + 0 = 5*m - j. Calculate the highest common factor of l and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**3 - 2. Let d be 2*4\/(16\/(-22)). Let m = 9 + d. List the prime factors of o(m).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - -19. Let u = -3.00028 - g. What is u rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 11) to base 8\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -970183*b**2 + 2896576*b**2 + 2*b**4 + 1151860736 + 2231943*b**2 - 1156014080*b + 2784*b**3 - 7778*b**3.\nAnswer: 2*(b - 832)**3*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/(-15))\/(4\/10). Let u be n*9\/6*-1. Let w(c) = c**2 + 4*c - 3. Calculate w(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 820 + -532. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4*f**3 - 55*f**2 + 184*f - 52. Give a(8).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3)\/((o*o**(-1\/10)*o)\/o))**(1\/7) assuming o is positive.\nAnswer: o**(-39\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-30) + 26\/(-65). Let s = 13.2 - 9.1. Let h = -0.1 + s. Sort 1, h, a in descending order.\nAnswer: h, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i + 66923774 + 0*i + 81*i**2 - 33461889 - 33461887.\nAnswer: 81*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-15) - 441\/(-105)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 2*z + 4. Suppose 107 = z*g - 37. Let l be 24*((-9)\/4 - -3). What is the highest common factor of g and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1.0143918 months?\nAnswer: 0.008453265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9417 - 4?\nAnswer: -941b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -198768366 divided by -3?\nAnswer: 66256122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -55*k - 362. Let u(r) be the third derivative of -r**4\/8 + r**3\/6 + 3*r**2. Determine u(k).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**3 - 21*u**2 + 12*u - 23. Give h(-11).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5881, 38, 35 in ascending order.\nAnswer: -0.5881, 35, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -737 + 732. Let v(m) = 3 + 0*m**2 - m**2 - 311*m + 309*m. Calculate v(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 4, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 117 - 119. Let v(f) = -4*f - 2*f - 5*f - 2. What are the prime factors of v(w)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 536837 is divided by 162.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 9119638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 34\/6 - ((-112)\/(-24) + -5). Find the third derivative of -7*j**p - 129*j**5 - j**2 + 129*j**5 wrt j.\nAnswer: -840*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**4*v - 34*c**4 + 3*c**2 - 2*c*v - 11*v wrt c?\nAnswer: 24*c*v - 816*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2024489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i - 14. Suppose 0 = 2*u - 23 + 7. Let x be f(u). Let r(y) = -3*y**x - 1 + 2 + 1 + 2*y + 0. Give r(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2761380 and 2436.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2716875 is divided by 123493.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**2 + 3*m**3 + m**2 + (0*m - m + 2*m)*(-1 + 4 - 1)*(-m**2 - 15*m**2 + 7*m**2).\nAnswer: -15*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 10 = -5*o, -u + 3*o = -o + 13. Let y be u\/(-3) - (-4)\/(-12). Suppose y = 2*i + i - 3. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176 = -28*w + 1128 for w.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/7 (b) 1\/10 (c) -26 (d) -233 (e) 0.178\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 12 = 2*p, 3*x = -2*p - 2*p + 18. Solve -f + 0*f = 2*l + 6, p*f + 16 = -4*l for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 62 + 14 = 0. Suppose -3*v - 9 = 3*o - 3, 0 = -3*v - 4*o - 10. Let s = k + v. Is s a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a + 3*a - 5*a + 8570 - 8570 + 12*a + (-4 + 4 + 2)*(-2*a - 2*a + 5*a).\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6\/5)*k)**(-27) assuming k is positive.\nAnswer: k**(27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*k + 1041 = -63*k. Let u = -346 + k. Is u greater than -1\/285?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 >= 173.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 119 - 119. Let j be i*(-6 + (-85)\/(-15)). Solve f - 3 = -2*m - j*f, -5*f - 41 = -4*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -173650 (base 8) to base 13\nAnswer: -22b1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/64)\/(84\/14112)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 + 24. Suppose 3*i - 5*d + 3*d = 76, f*i + d = 46. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/103755 and -68\/15.\nAnswer: 103755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*g - 22*g = -2540. Suppose 267 = -5*u + 3847. Let n = u + g. List the prime factors of n.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/sqrt(7) + -3 + -5)**2.\nAnswer: -16*sqrt(11) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2889 - 140*k + 2889 to d + j*k and give j.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 58305 divided by 11661?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 432*h - 1633. Calculate the remainder when 525 is divided by w(4).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 8*x**5\/3 - 14*x**4\/3 - 22*x**3 - 34*x**2\/3 + 34*x\/3 + 8 = 0.\nAnswer: -1, 3\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 397530335?\nAnswer: 5, 79506067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10267, -10197, -10081, -9919, -9711, -9457?\nAnswer: -9157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of o**5\/60 - o**4\/24 + o**3\/6 + 3*o**2\/2 - 1. Let y(j) be the second derivative of z(j). Calculate y(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16328 = 25*h - 8497. Suppose -2*l = -h + 33. Is l a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i - 114. Let h be r(-32). Let l be 48\/h*(-6)\/(-4). Is 3 <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10230 + 164*i**2 + 10230 + 577*i**2.\nAnswer: 741*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, 2, -1 in descending order.\nAnswer: 2, -1, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of 0*a + 117\/4*a**4 + 19\/3*a**3 - 3\/2*a**2 - 40. Find the third derivative of r(g) wrt g.\nAnswer: 702","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -879 or 3.8601?\nAnswer: 3.8601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20 + 20 + 11*w)*(3*w + 4*w - 3*w) + 0*w**2 + 0*w**2 + 6*w**2 to n + z*w**2 + i*w and give z.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jaap when four letters picked without replacement from {j: 1, c: 1, a: 7, p: 6}.\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.61 + -0.52. Which is the closest to h? (a) -1 (b) -1\/3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -1010?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 2\/7 (b) 0 (c) 1 (d) -4 (e) -124\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 21934131\nAnswer: -87736524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 93 = -5*x, v - 53 = -7*x + 4*x. Find the first derivative of 81 - 21*f**2 + x + 31*f**2 wrt f.\nAnswer: 20*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + m**3 + 2*m**2)*(1 + 2 - 1)*(1 - m - 1)*(3*m + m - 3*m).\nAnswer: -2*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 16656109 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 19*v + 47. Let q be l(21). Suppose -q*m + d = -2125, -3*m + 4*d + 1287 = d. What are the prime factors of m?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/(-10))\/(1\/6). Let r = x - 3. Suppose -4*o + 16 = -r*o. Let k(l) = l**2 - 6*l + 1. What is k(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 629 and 2907.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 15*g - 18*g. Sort -1, g, 3.\nAnswer: -1, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, n: 1, t: 1, z: 1, d: 2, u: 1}. What is prob of picking 1 n, 1 u, and 2 k?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2436 + -2433. Solve 2*h - 18 = 2*f, -x*h + f - 16 = -7*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -r - 1962 + 1956, -3*r - 52 = -5*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s - 29682 = -12280. List the prime factors of s.\nAnswer: 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p + 1. Let b be v(1). Suppose b = 2*a - 15 + 1. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -33*z**3 - z + 5. Let c(o) = -66*o**3 - o**2 - o + 12. Give -2*c(t) + 5*w(t).\nAnswer: -33*t**3 + 2*t**2 - 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.16053469454 to two decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/3)\/(-56*3\/(-432)) - 25?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/(-6))\/(8\/(-12)). Let r(j) = 3*j - 4*j + k*j + 0*j. Let l(u) = -u. Give -5*l(v) - 10*r(v).\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 3:04 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 17600 = -2*p, -3*p = -r - 29595 + 3216. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + 35*r - 6*r - 10*r + 0*r. Let l(n) = 2*n. Determine l(c(g)).\nAnswer: -2*g**2 + 38*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -221102001022?\nAnswer: -221102001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 6 + 1140*d**2 - 383*d**2 - 27*d - 387*d**2 - 385*d**2 = 0.\nAnswer: -2, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 145\/((-290)\/12)*55\/154.\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1434, 1433, 1432?\nAnswer: 1431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 12. Suppose -o*g + 7*g = 24. What is the units digit of (g\/(-2))\/(3\/(-33))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -297, -564, -827, -1086?\nAnswer: -1341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.1037731619 plus 11?\nAnswer: 14.1037731619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 8*r - 24 = 0. Suppose -4*v + 23 - r = 0. Sort -6, v, 4 in descending order.\nAnswer: v, 4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-102)\/270 - 6\/(-10). Factor 4\/9*a + 0 - 4\/9*a**3 - 2\/9*a**4 + w*a**2.\nAnswer: -2*a*(a - 1)*(a + 1)*(a + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3, -11, -19, -27, -35, -43?\n\"Answer: -8*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wh when two letters picked without replacement from {h: 4, w: 3}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00828058223 to four dps.\nAnswer: -0.0083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4 - 2 + 2 + 2*x. Let k(p) = p. Determine k(h(g)).\nAnswer: 2*g + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*z - 48*z - 4347 = -15*z for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17*g**3 - 39617*g**2 - 517612 wrt g?\nAnswer: -51*g**2 - 79234*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.03421*-135\nAnswer: -4.61835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -1 + y - y + y**2 + 14*y**3 - 2*y. Let g be j(2). Suppose -43 = -2*h + g. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(832) + -1)*-4)**2 - sqrt(832)).\nAnswer: -53312 + 1056*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.06, 0.08, -5, 0.1 in decreasing order.\nAnswer: 0.1, 0.08, -0.06, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1*11\/(-5) - -2)*-108. Let i = -22 + m. Is i at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 14*m**2 - 16. Suppose 5*y + 4*g + 231 = 0, 0 = -6*y + 3*y + g - 142. Let o = 51 + y. List the prime factors of x(o).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28650\/6337 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 128*((-65)\/(-10) + -6). Solve -16*j - t = -0*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-44)\/(-22)*(-190)\/352 and 51\/2.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(304) + -2*sqrt(304) + sqrt(304))*-5 - (2 + sqrt(304)*2)) + -3)**2 + 3.\nAnswer: 160*sqrt(19) + 1319","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4050) - sqrt(4050)*-2*4 - sqrt(4050)) + -5 + 2*sqrt(4050) - ((-1 + sqrt(4050))*-1 + 1 + sqrt(4050) + 1))**2 + -5.\nAnswer: -7200*sqrt(2) + 405059","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -10101100010110001 (base 2) to base 8\nAnswer: -254261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 - -1.1. Let h = -4.083 + -0.907. Let b = h + -0.01. Put b, z, -3\/2 in descending order.\nAnswer: z, -3\/2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1313 take away 6267113448?\nAnswer: -6267114761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6662*((-226)\/4)\/(-1). Let d = -6396200\/17 - m. Let q = d - 156. Do -1 and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**3 - 13*c**2 - 12864*c + 12864*c as n + b*c**2 + l*c**3 + f*c and give b.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r - 4*r + 3*r - 4*r.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 612*a**2 + 2. Let d(s) = 49*s. Calculate t(d(p)).\nAnswer: 1469412*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2*c - 18 = 0. Suppose 2*s - 4*l - 4 - 4 = 0, 5 = 5*s + 5*l. Solve -s*n - 11 = -c*v, 3*n - 6 = 3*v - 18 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1.259171 years?\nAnswer: 0.1259171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 905 (b) -3\/2 (c) 12 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -33 (b) 681.1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*2*2\/4. Let k(c) = c**2 - 16*c + 11. Suppose -4*t - 3 = -63. Let l be k(t). Sort a, -1, l in increasing order.\nAnswer: l, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(833))**2 + -4.\nAnswer: 829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 h when four letters picked without replacement from {h: 5, b: 3, m: 1, e: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 2*o + 6*o - 2, -4*d + 3*o + 2 = 0. Suppose 0 = -d*y + 5*y + 18. Sort -5, -1, y in increasing order.\nAnswer: y, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.4941302 years?\nAnswer: 0.04941302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - (-1 - (0 + -1)). Let k = a + -5. Let w be (3\/k)\/(1\/1). Is w < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1236725837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 3 + 156*z + 96*z + 176*z + 47*z as r*z + s and give r.\nAnswer: 475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**4 - 4*m**2 + 4*m**2 + (32*m**3 - 73*m**3 - 82*m**3)*(0*m + 2*m - m) + (3*m**3 - 6*m**3 + 4*m**3)*(-2 + 2 + 2*m).\nAnswer: -119*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-5))\/3*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 2, 0.06, 3.26?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*u**3 + 9*u**3 - 8*u**3)*(3*u + 15 + 3*u - 15).\nAnswer: 126*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1583*t**3 + 16026.\nAnswer: -4749*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-425)\/(-20655)*186\/310)\/((-1)\/15)?\nAnswer: -5\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -0.9 (c) -4 (d) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20901673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 30*r**3 + 6*r**2 - 2*r - 1. Let b = -109 + 111. What are the prime factors of a(b)?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 12:39 AM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24\/36*63\/2. Let j be (-4)\/(-10) - 194\/10. Let d = 23 + j. Solve -5*q - f - d = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/6 + 2\/6. Let b(w) = 4*w - 3. Let n(y) be the second derivative of 1\/12*y**4 + 4*y - 1\/2*y**2 + 1\/6*y**3 + 6. Calculate u*b(l) - 3*n(l).\nAnswer: -3*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/1*(-2 - -3). Suppose 0 = 2*v - 8 - 0. Let g be (-8)\/12 + (-2)\/6*-26. Solve 12 = a - v*w, -3*a + w + i - g = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10825261*g**3 - 8927725 wrt g?\nAnswer: 32475783*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - 11*k**4 - 3*k**2 + 2*k**4 + 3*k**2 + (-2 + 3 + 1)*(0 + 0 + k**4) to f*k + b + c*k**4 + o*k**3 + i*k**2 and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.1 + 4.1. Let i = -0.9 - 0.1. Put g, i, -0.1 in decreasing order.\nAnswer: g, -0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 12*g + 167. Suppose -81 = -10*i + 189. What is the units digit of n(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 10. Suppose 2*k + 5*o = -1, o + 0*o - p = 0. What is the units digit of k*1 - (-46)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.005 and -172.356.\nAnswer: -172.351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24\/3*6\/4. Let h be 4\/6 + 4\/3. Suppose -h*k + 24 = -0*k. Calculate the greatest common factor of k and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**(-3)*h))\/h*h\/((h**(1\/4)*h)\/h*h))**(4\/15) assuming h is positive.\nAnswer: h**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 2*w + 68, w - 10 - 33 = 3*y. Is (-3955)\/y*(-18)\/(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -v**4\/24 + 118*v**2. Let a(o) = -6*o**2. What is a(x(s))?\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 56.94976 micrometers?\nAnswer: 0.00005694976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002554 to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*((-20)\/6)\/2. Solve i = -4*y + 5, 8*i + h*y = 3*i + 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 i when two letters picked without replacement from {r: 2, k: 1, o: 1, i: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50, 467, 1634, 3935, 7754, 13475, 21482?\nAnswer: 32159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from vvpvvvvpppvvvppp.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -262 in 7\/24, 3, 1.3?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f**3 + 7*f**2 + 8*f + 4. Let r be (-1 + 0)*(-7 - -5). Let y(t) = -16*t**3 - 36*t**2 - 40*t - 20. Let k(s) = r*y(s) + 11*b(s). Factor k(l).\nAnswer: (l + 1)*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**2 - 7*p**4 - 3*p**3 + 6*p**4 - p**4 to the form b*p**3 + o*p**2 + w + f*p**4 + l*p and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + t + 4. Let z(a) = 1. Determine 2*y(k) - 10*z(k).\nAnswer: -2*k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -419, -0.2, -1\/20, -5, -87 in descending order.\nAnswer: -1\/20, -0.2, -5, -87, -419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 74*b. Let s(z) = 2*z. Determine s(f(j)).\nAnswer: 148*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2736.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 124160?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -129 (base 10) in base 4?\nAnswer: -2001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 88 + -84. What is the second biggest value in 3\/2, o, 0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 12 = 2*c - 7*c, -5*c + 4 = -18*c + 12*c for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -371, -658, -945, -1232, -1519?\n\"Answer: -287*k - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c3 + -22?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -13*x**2 - 3*x + 4. Let t(n) = -26*n**2 - 5*n + 7. Determine -5*j(w) + 3*t(w).\nAnswer: -13*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (68*(-33)\/(-2244))\/((-2)\/38)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w + 5*i = -5*w + 5, 19*i - 11*i = -5*w + 73 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 410.5 - 410.500001987. Round a to 7 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.18185 rounded to 2 dps?\nAnswer: 2.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 185 - -84. Let x = p - 280.7. Round x to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28019?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 3)*(2*s + 15*s + 2*s) + 100*s - 22*s + 28*s + 2.\nAnswer: 144*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*i = 276*i - 33*i - 5792 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -15*g + 96 + 2*g - 3*g. Let k be j(6). Solve -7*n + 6*n - 3 = k for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2. Let m(p) = -208*p**2 + p. Calculate m(h(k)).\nAnswer: -208*k**4 - k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 1 = t, -5*i - t + 57 = 44. Sort 0.4, 11, i.\nAnswer: 0.4, i, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -155*h**3*v**2 - 2*h**3*v + 2*h**2*v**2 - 2*h*v - 5*v**2 - 606 wrt v?\nAnswer: -310*h**3 + 4*h**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 w, and 2 l when four letters picked without replacement from sccccgwcslwccclgl?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 11) to base 14\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + c**2 - 2*c**2)*(-2*c**3 - 4*c**3 + 4*c**3) + 36*c**5 - 65*c**5 - 58*c**5 + (3*c**3 - 4*c**3 + 4*c**3)*(-16*c + 16*c - 11*c**2).\nAnswer: -116*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -32*v**2 + 19*v - 7. Determine x(2).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-9))\/(3\/(-126)). Suppose -6*m + d = -5*m. Calculate the highest common factor of m and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 513 and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/5, 3.4, 0.5, 3, -41, -1\/10 in descending order.\nAnswer: 3.4, 3, 6\/5, 0.5, -1\/10, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 26761016 (base 8) to base 12\nAnswer: 20248ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 255?\nAnswer: -1275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66496 and 2794910.\nAnswer: 2078","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 + -143 - (10 + 3)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + s**2 + s)*(7 - 7 + 6*s)*(-s**2 + 4*s - 4*s).\nAnswer: -6*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 10:55 PM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -889343.67056 - 2365.\nAnswer: -891708.67056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63) + sqrt(7623) + sqrt(7623)*-2)\/(sqrt(9) + sqrt(9) + sqrt(9) + 5*(sqrt(9) - sqrt(36))))**2.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 252531333?\nAnswer: -252531332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 3:28 PM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 4:09 PM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 9*z + 2. Let y be j(-9). Put 3, y, 16 in increasing order.\nAnswer: y, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*j**2 + 17*j**2 - 39*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 221*o**2 + 1696. Let g(k) = 218*k**2 + 1701. Let t(z) = -3*g(z) + 2*r(z). Differentiate t(f) with respect to f.\nAnswer: -424*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 66, 20, 4.\nAnswer: -3, 4, 20, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -17. Let m = -10\/19 - -59\/76. Which is the closest to -2? (a) -3\/2 (b) m (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1566, 5332, 11614, 20418, 31750, 45616, 62022?\nAnswer: 80974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + s**2 - 1. Let i(z) = -14*z**3 - z**2 + 1. Calculate -i(h) - u(h).\nAnswer: 15*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 374.2692368 to 2 dps.\nAnswer: 374.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 44\/5 of a century?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.4, -683, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20506 (base 8) to base 7.\nAnswer: -33556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 338.\nAnswer: 2\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.22 - 0.34. Let x = 0.16 + k. Let h = 0.04068 - x. What is h rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by ((-21)\/(-4))\/(6\/16).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -70*k - 163. Determine i(-7).\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(2\/182)\/((-684)\/(-1197))?\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -9, -1\/6, -0.2 in descending order.\nAnswer: 11, -1\/6, -0.2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*x - 126*x + 25*x**3.\nAnswer: 25*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(931) - 6*((sqrt(931)*1 + sqrt(931) - sqrt(931)) + sqrt(931) + sqrt(931))))**2.\nAnswer: 4304944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5560?\nAnswer: 2, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tv when two letters picked without replacement from vtvwvwdvvwtv?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/235 and 113\/830.\nAnswer: 39010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/9618 and -11\/3318.\nAnswer: 759822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -133.7 or -11?\nAnswer: -133.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4*g - 1. Let k be p(-7). Let j = 43 + k. Round j to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 698760 divided by -11646?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5330 divided by -13\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -4*c**4 - 8*c**3 + 192*c**2 + 392*c + 196 = 0.\nAnswer: -7, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58 and 18212.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72660 (base 12) to base 11.\nAnswer: a239a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.16 + 0.2. Let x = v + 0.02. Suppose -2*a = -5*r + 35, 20*a + 10 = 18*a. What is the second smallest value in x, 0.2, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**4*m)\/m)**(-25))**(-31) assuming m is positive.\nAnswer: m**3100","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 821 and -2.\nAnswer: -1642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j = 21*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.19539 + 0.0366838.\nAnswer: -0.1587062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**4\/7 - 3522*n**3\/7 + 354843*n**2 + 1109389252*n\/7 + 52100873028\/7 = 0.\nAnswer: -262, -54, 1919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -200012131 (base 5) to base 15\nAnswer: -106b46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from imiiivvvai. What is prob of picking 1 v and 2 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 2*a. Suppose -2*n + 6*n = m + 18, -5*m + 2*n = 18. Let g be w(m). Solve g = -4*d - 8 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85500397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/5 (b) 1\/2 (c) -4 (d) 6.5 (e) -0.7 (f) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + i - 25 = 0. Let y(l) = -2*l + 15. Let p be y(9). Let d be 1 - (p - 0\/(-1)). Solve 2*q - 3 = -i, d*u + 5*q = -5 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3 = -10. Let g = s + 18. Suppose -g*f - 5 + 73 = 2*h, 0 = -5*h - 5. Is f a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*13.2\nAnswer: 6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 376255 divided by 75251?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-152)\/(-19)*-18*(-230)\/2208?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 - 189 - (-10 + 1 - -1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5252 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 9 = g. Let x = -7 - -16. Calculate the smallest common multiple of x and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 2*k**2 + 3*k + 4. Let s be l(-3). Suppose -4*z = -m - 10, 5*z - 1 - 6 = s*m. Solve z*d = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 126*w + 2. Let h(k) = 2*k**2. Determine t(h(m)).\nAnswer: 252*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lk when two letters picked without replacement from {l: 5, i: 1, k: 2, q: 1}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -340 = 19*m + 591. Let o be ((-3)\/(-7))\/((-7)\/m). Solve -b = 2*b - o for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 13*g**2 - 5*g - 29. Let z be a(-13). Suppose 48*p = z*p + 6384. Is p a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-8) + 10\/(-8). Suppose 2*j - 4 = 0, -3*v - 183 = -2*j - j. Let n = -54 - v. Sort n, 1, p in decreasing order.\nAnswer: n, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20408*w**3 - 6952*w.\nAnswer: -122448*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -9. Calculate the common denominator of 1\/8 and 41\/(-44) + x\/(-16).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + a + 1. Let k(h) = h + 3. What is k(m) - v(m)?\nAnswer: m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*j - 1 = -43*j. Let z(s) = -s - 1. Let l(o) = o**2 - o - 1. Let g(q) = q**2 - q - 1. Let c(b) = 2*g(b) - l(b). Calculate j*z(p) + c(p).\nAnswer: p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.7 (b) 0 (c) -2\/5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + (-74)\/(-10) - 2\/5. Suppose -j + z*j - 1122 = 0. Calculate the highest common factor of j and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5413277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -5*f**2 - 20*f + 7\/12*f**4 - 1\/20*f**5 + 5\/2*f**3 + 0. What is the tens digit of x(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -7, -37, 4, -3 in descending order.\nAnswer: 5, 4, -3, -7, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -616, -2452, -5518, -9820, -15364, -22156?\n\"Answer: -g**3 - 609*g**2 - 2*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -176\/3 + 294\/5. Let t be 4\/10*(1 + 36\/(-21)). Which is the closest to t? (a) -2 (b) m (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10312312 + 2?\nAnswer: 10312320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -f**6\/30 + 631*f**5\/20 + 634*f**4\/3 + 1270*f**3\/3 - 5897*f. Factor d(n).\nAnswer: -n*(n - 635)*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 11149 (b) -2 (c) -0.3 (d) 1\/8 (e) 3.19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 403 and 403.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62725?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, c: 4, v: 2}. Give prob of picking 2 v and 1 j.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -45*j - 90. Let i be d(-2). Is -9\/7 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 10*s**2 + 9*s + 13. Let i be t(11). Let g = 8 + i. Find the common denominator of 43\/6 and ((-67)\/2)\/(g*7).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 298916021?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**3 + 4*b - 9*b + 6*b)*(-3*b + 3*b + b).\nAnswer: -2*b**4 + b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1\/4 (b) 3 (c) 5 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 27*c + 15. Let x(g) = 13*g + 8. Let j(v) = 5*x(v) - 2*y(v). Let o be j(10). Calculate the highest common factor of o and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*d, -342 + 410 = 4*q + 2*d. Let h be (-65)\/(-1) - 1\/(-1). Let p = h - -99. Calculate the greatest common divisor of p and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 84, 9, 0, 3349 in decreasing order.\nAnswer: 3349, 84, 9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k - 3. Let i = 1 - 3. Let f be r(i). Put 6, f, 4 in increasing order.\nAnswer: f, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 711*f**3 + 1 - 531*f**3 + 1256*f**3.\nAnswer: 14*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5992)\/(-6))\/7*-3. Let j = 841 + r. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 43? (a) -6 (b) 4 (c) -4\/3 (d) 45 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/36 - 4\/270*-147. Factor 3\/5*w**3 + 4\/5*w + 0 - j*w**2 + w**4.\nAnswer: w*(w - 1)*(w + 2)*(5*w - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 5*v - 138, 58 = -w + 2*v - 5*v. Let l = w - -255\/4. Put l, 2, 0.4 in descending order.\nAnswer: 2, 0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/4)\/(1*(-8)\/((-448)\/(-378)))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/44963 in 0.3, -0.3, 14, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1079096.\nAnswer: 2, 134887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t + 8. Let q be h(-6). Solve -4*r + 4 = -q*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*((-165)\/(-9) + -1). Suppose 5*b + l + 2*l = 72, 3*b + 4*l - q = 0. What is the remainder when 10*2\/(12\/27) is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -4339*y**4\/8 + 6034*y**3\/3 + 8*y**2 - y - 7. Differentiate d(h) with respect to h.\nAnswer: -13017","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**3 + 19*j**2 + j - 1. Let s(o) = -4*o**3 + 37*o**2 + 2*o - 3. Let l(r) = -5*c(r) + 2*s(r). What are the prime factors of l(11)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r + 2. Let m be x(5). Let y be (-3)\/(-2) + (-3 - m). Let w = 0.05 - -0.05. What is the nearest to w in y, -5, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 5:20 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 + -17. Let i = -7 + k. Suppose 2*n + y + i = -2, 3*n + y = -11. Let j(w) = -w**2 - 4*w + 6. What is j(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a meter in centimeters?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -310 + 2302?\nAnswer: 1662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000004877 to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*h**5 - 41*h**4 - 107*h**2 + 1853*h - 348 wrt h?\nAnswer: 120*h**3 - 492*h**2 - 214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -43\/4 less than -7.5361?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5a (base 11) to base 13.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 21, 30?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*(4 - 3)\/((-4)\/(-4)). Let r(t) = -t**3 - t. Let j(o) = -2*o**3 - o. Determine x*j(b) - 2*r(b).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.06004*7532\nAnswer: 452.22128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84913983?\nAnswer: 3, 7, 11, 19, 6449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 r when four letters picked without replacement from rrrvvrrrrr.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -344000 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1111*l**2 - 1136*l**2 + 3346*l**2 - 1103*l**2.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15 + 13392c?\nAnswer: 133943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 1:40 AM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21135912?\nAnswer: 2, 3, 7, 97, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 47\/(-94)*1\/(-1)*-2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43915122, -43915107, -43915092, -43915077, -43915062?\nAnswer: -43915047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -119*u**5\/60 + 267*u**4\/8 + 2096*u**2. Find the second derivative of q(x) wrt x.\nAnswer: -238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r. Let v(t) be the third derivative of t**5\/10 - 2*t**2. What is v(w(a))?\nAnswer: 54*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/1086 and 93\/1810?\nAnswer: 5430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyu when three letters picked without replacement from byrubryryuy.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 - 103700*g + 29533824.\nAnswer: 4*(g - 25637)*(g - 288)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11046722 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1512 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 81 + 310)*(-1 + 4*k**5 + 1).\nAnswer: 844*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.7 + -0.2. Round i to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -869, -3146, -5423, -7700, -9977, -12254?\nAnswer: -14531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45*y + 31*y + 70 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15300 and 6450?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mwwywmwwywywmwymw?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -16*a**3 - 2*a**2 + 3*a. Let v(q) = 33*q**3 + 5*q**2 - 7*q. Let i(s) = -7*l(s) - 3*v(s). Determine i(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1283541*c*o**3 - 26*c*o + 10*c + 37*o**3 - o - 2945 wrt o.\nAnswer: 7701246*c*o + 222*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -104 + 122 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 + 1 - (-40 + 37)) + 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dxj when three letters picked without replacement from dxaxajajaaxxxaaxax?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b - -262795?\nAnswer: 262804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -55360 divided by -2\nAnswer: 27680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/8? (a) 0.2 (b) -0.3 (c) 4955\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39510 divided by -13170.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6922679 weeks to microseconds.\nAnswer: 418683625920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((6 - 17) + (-2 - -6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - q - 11 = 0, g + 27*q - 23*q - 13 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -4 - (23 - 40) - -5\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**3 + 2*i**3 + i**3)*(-6*i - 21 + 21).\nAnswer: -6*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -106 - -109. Let s(l) = -l**3 + 2*l**2 + 3*l + 1. Let j be s(u). Is j less than 2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1172, 1502, 1872, 2282, 2732, 3222, 3752?\n\"Answer: 20*x**2 + 270*x + 882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*w)*(214634*w - 214631*w - 416 + 122*w**2 - 124*w**2).\nAnswer: -4*w**3 + 6*w**2 - 832*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + 2. What is the units digit of k\/15*5*1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 246 - 110. Suppose -10*u + 920 = -0*u. Suppose -5*z - 2*m = -g, 4*z - 4*m - u = -0*z. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**8*f**3)\/(f**(-2\/19)*f**(-7)) assuming f is positive.\nAnswer: f**(344\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/25 - ((-72)\/35)\/(-4)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1220 + 3?\nAnswer: -1215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61 - 67. Let a be (-2 + 6)*((-15)\/l + -3). Let j = a - -3. Solve 5*f + 26 - j = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4724\/120 + (-6)\/(-45))*-10. Let r = 643 + b. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 y when two letters picked without replacement from {l: 2, q: 4, y: 9, n: 4}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {p: 8, i: 3, o: 7, f: 2}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8 and -0.1602?\nAnswer: 0.12816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in -0.1, -664, 0.5, -11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2670 (base 8) to base 14.\nAnswer: -768","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10315524 divided by -6\nAnswer: -1719254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 642 is divided by 635.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 32 + 40. Solve 6 + t = -8*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 (base 16) in base 2?\nAnswer: -1000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -g**9\/42 + 7*g**6\/60 + 269*g**5\/60 - 217*g**2. What is the third derivative of d(b) wrt b?\nAnswer: -1440*b**3 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177 - 177 + 742*u**2 - 751*u**2.\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-6\/11)\/((f\/(f**(-2\/5)*f))\/f*f*f))\/(f**(-1)*f*f**(-2\/5)) assuming f is positive.\nAnswer: f**(-17\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 35341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssscssccccsc. What is prob of sequence csc?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -77*m**3 + 7*m**2 + 8*m + 2. What is the remainder when 933 is divided by o(-1)?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(75) + -3 + sqrt(3)) - ((sqrt(99)*-3 - sqrt(99))\/sqrt(3))\/sqrt(11).\nAnswer: -26*sqrt(3) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, u: 4, f: 2, h: 1}. What is prob of sequence uh?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 324160?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 5, 10, 0.06014?\nAnswer: 0.06014","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -758, -775, -792?\nAnswer: -809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 2*t + 5. Let r(f) = -f**2 - 1. Give -j(p) + 2*r(p).\nAnswer: -p**2 - 2*p - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*m**2 + 85*m**2 + 3 - 5*m**2 - 3.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, w: 5, v: 1, z: 1, x: 3}. What is prob of sequence fwww?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**4*p**7*p)\/(p*p**1\/p*p)**(2\/59))\/(p**(-3\/2)\/(p*p*p**1*p*p)*(p**1)**26) assuming p is positive.\nAnswer: p**(-1719\/118)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32612?\nAnswer: 2, 31, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -3) + 18\/(-8) + 7\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ymmaamzayymmmpmmzz. What is prob of picking 1 y and 2 m?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8104\/10 - 36\/90?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005006503 to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 7*n + 6. Let d = -9 + 3. Let m be j(d). List the prime factors of 10 + (m - 1)*-1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 + 12a3?\nAnswer: 12ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -6422315.\nAnswer: -1\/6422315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/5*u**2 - u.\nAnswer: u*(u - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/3 + 0 + 3. Let b(s) = s**2 + 1. Let t be b(j). Solve -t*a + 7 = -13 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 13) to base 15\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -333492, -331572, -329652?\n\"Answer: 1920*f - 335412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 9:55 AM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 1, 6, -183, 3 in increasing order.\nAnswer: -183, -25, 1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + (12 - 12) + 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 7*i**2 + 2. Let y be t(-5). Let p = y + -30. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 22931.\nAnswer: 1\/22931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 553408 is divided by 86?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -229, -191, -111, 11, 175, 381?\n\"Answer: 21*m**2 - 25*m - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29826.48 centimeters to millimeters.\nAnswer: 298264.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u + 29. Determine r(-12).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15\/7? (a) 0.065 (b) 1 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 336123 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -21 - 3. Let d(s) = 87*s - 184. Let t(o) = -6*o + 13. Let h(r) = -6*d(r) - 86*t(r). Let a(p) = -2*p - 5. Give u*h(w) + 17*a(w).\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -159 - -218 - (22 + 4)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 137.77 - 3.77. Let h = 134.8 - s. Let u(x) = x**2 + 6*x - 4. Let n be u(-6). What is the third smallest value in -0.3, h, n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3\/2)\/((-3)\/(-42))?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -100b31 - -10?\nAnswer: -100b21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**2 + 4*h**2 - 4*h**2)*(-3 + 0 + 2 + (2 - 3 - 1)*(1 + 0 + 0) + 8 + 3 + 5)*(4*h - 4*h + h + h + 3*h - 3*h + (-3 + 3 + 1)*(-1 + 1 + 2*h)).\nAnswer: 208*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -96*u - u**3 + 37*u - 9*u**4 + 58*u + 2*u**3 + 2 + u**2 + 0*u**2 as j*u**2 + q*u + v*u**4 + w + s*u**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003468554 rounded to 5 decimal places?\nAnswer: -0.00347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 6:34 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1253 + -1223. Calculate the greatest common factor of z and 1686.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1179*p + 830*p - 2394*p to the form n*p + m and give n.\nAnswer: -385","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -7*m**2 + 4*m + 1416. Let r(z) = 30*z**2 - 18*z - 5665. Calculate -9*g(x) - 2*r(x).\nAnswer: 3*x**2 - 1414","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -990\/7 - -141. What is the second biggest value in n, 0.03, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -13*m**2 + 39*m + 4. Give z(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 55421 and 398.2.\nAnswer: 55819.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 t when three letters picked without replacement from {t: 3, e: 1, x: 1, c: 2}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -36*x - 42. Give o(-7).\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50*k**3 + 19*k**3 - 27*k**3)*(-3 + 3 - 2).\nAnswer: -84*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -30*f**3 - f**2 - 2*f - 1. Let d be w(-1). Let y be 0 - (4 - 3) - -13. What is the greatest common divisor of y and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 641999 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.16 - 0.29. Let o = 3.61 - -0.26. Let l = o - s. What is the closest to 1 in l, 0, -1\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r. Let g be u(-1). Suppose -14 = -g*k - 0*k. Let i(d) = d**3 + 2*d**2 - 2*d - 1. Calculate the least common multiple of k and i(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0)**(-25)\/((i\/(i\/i**(-1\/7)))\/i**(2\/7))*i**(-1\/10)*i*i*i**5*(i\/(i**(2\/7)\/i*i))**(-5\/6) assuming i is positive.\nAnswer: i**(101\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21952\/13 - 8342683\/4940. Let s be (-2 - (-758)\/152) + -3. Let w = f + s. Put 2, 1\/4, w, -0.4 in ascending order.\nAnswer: -0.4, w, 1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53 + 13. Let x be (a\/50*170\/(-4))\/1. Let p = 44 - x. Calculate the remainder when 37 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) 2 (c) 4 (d) -14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1142822*c**4 + 2*c**2*r - 2*c*l - 3*l*r - 2573*l + 10 wrt c.\nAnswer: 4571288*c**3 + 4*c*r - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4\/17 - 276*c**3\/17 - 278*c**2\/17.\nAnswer: 2*c**2*(c - 139)*(c + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 496 = -14*j. Is j < -218\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 580403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aallylhlaalyaaaala. What is prob of sequence la?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-13)\/(-52) - 818\/8)\/((-3)\/273) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 3 = -5*f - 4*s, -s + 4 = -2*f. Suppose -3*a - 4*w + 21 = f, -5*w + 25 = 3*a + 1. Is 3 a factor of a\/(-12) + (-13)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-27) + 3)\/(14\/(-42)) - -5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -8 + 0 - (-24)\/4. Let h(p) = p - 1. Let o(k) = 12*k + 3. Let w(t) = j*h(t) - o(t). Let z = -3 - -2. Determine w(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20022112300 - -32?\nAnswer: -20022112202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 6*d - 34. Let l be t(4). Solve o - l*o = 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*z + 185 - 1660 = 0. Does 2 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*(-1)\/16)\/(-6 - -5).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88781\/33 + (-8)\/6 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -7*h**4\/12 - 3*h**2\/2 - 12*h - 6. Let d(f) be the first derivative of l(f). What is the first derivative of d(q) wrt q?\nAnswer: -14*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 178312536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 81 + -44. Let n = -147\/4 + g. Factor 1\/4 - 3\/4*q + 3\/4*q**2 - n*q**3.\nAnswer: -(q - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/16)\/(1244\/(-52248)))\/(2\/(-24))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 101959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3.83 times 1473454\nAnswer: -5643328.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57 + 67. Let m be (c - 9) + -1*5. Put 2, -3, 0, m in descending order.\nAnswer: 2, 0, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 239899 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 less than 3.375139?\nAnswer: -13.624861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21194073 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 8*j - 5. Let l be 3*-4 + (-5 - -8). Let c be i(l). Factor 2*h**2 - 5*h - 2*h + 13*h + c.\nAnswer: 2*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.95213 + -0.04787. Sort -0.08, -10\/7, o, 1 in decreasing order.\nAnswer: 1, -0.08, -10\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100100101110100001 + 1000?\nAnswer: 10100100101110101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3356 and 2860.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -77*v**2 - v + 48. Determine r(1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18215660783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4651, 8965, 13289, 17623, 21967, 26321, 30685?\nAnswer: 35059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(26*k + 48*k - 163*k)*(3*k**2 + 18*k**2 - 6*k**2).\nAnswer: 1335*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/6*(-14)\/(-3). Let u be (-23)\/w + 4\/14. Suppose -19*j - j + 80 = 0. Sort 0, u, j in decreasing order.\nAnswer: j, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4290)\/78 - -10*3.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59 - 58.99778. What is s rounded to four decimal places?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 0.04293357\nAnswer: -0.08586714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/1922472 and -13\/2349688.\nAnswer: 21147192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12508320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 337404 is divided by 295?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*o**3 - 178151752 + 178151752.\nAnswer: -49*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 124 (b) 7\/4 (c) 0.05 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 4, 157, -32, -3, 26 in descending order.\nAnswer: 157, 26, 4, 1, -1, -3, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63736 is divided by 1175.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*j + j + j)*(7*j - 7*j + 3*j**3) - 5702*j**4 + 2283*j**4 + 2522*j**4 to b*j**4 + c*j + s*j**3 + u*j**2 + r and give b.\nAnswer: -903","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -2 (c) 6 (d) 1\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rixriyifffrif. What is prob of sequence ixfy?\nAnswer: 2\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 296.12574 months to millennia.\nAnswer: 0.024677145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and -7395958.\nAnswer: -7395957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7309*z**3 - 3309*z**2 + 2?\nAnswer: -43854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 104a (base 11) in base 7?\nAnswer: 4016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22285.\nAnswer: 5, 4457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 4*f + 226, f + 60 = 5*d - 154. Let c = d - 32. Sort 5, 0, c in ascending order.\nAnswer: 0, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -144, -1112, -3738, -8850, -17276, -29844, -47382, -70718?\nAnswer: -100680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00012091765944 rounded to five dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2*(-60)\/(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*m - 57*m. Solve 4*d - 10*s = -13*s - 3, 3*s + 15 = m for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 216389a?\nAnswer: 2163897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.350187 to 1 dp.\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.626354 rounded to 3 dps?\nAnswer: -2.626","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -76*i + 18 wrt i?\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 9*c - 7. Let n be (3 + (-20)\/8)*30. Suppose -2*o - 3*o + n = 0. What are the prime factors of u(o)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*p - 3*p - 27434. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 115*v - 721. What is c(5)?\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 606 - 1082 + 476 - 5715*y**2 as c*y + l*y**2 + x and give l.\nAnswer: -5715","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -1\/2 (c) -8\/9 (d) -49.4243 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 9. Solve -k*p = 4*r + 12, -2*p + 5*p - 5*r - 15 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112312014 (base 5) to base 3.\nAnswer: 221220221111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104 - 10*a + 20 + 42 + 42 - 100*a**2.\nAnswer: -100*a**2 - 10*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*j - j - 3*j + (-1 + 4*j + 1)*(3 - 1 + 0) - 16*j + 7*j - 5*j.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 2 + 149*h**2 - 7.\nAnswer: 149*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 13*o**3 - o**2. Let a be 3\/(-6) + 15\/6. Suppose -2*z + c = 1 - a, c - 1 = 0. Let u be q(z). Calculate the highest common divisor of u and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2611, -2654, -2755, -2944, -3251, -3706, -4339?\nAnswer: -5180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, -0.79, 0, -11, -41\/7?\nAnswer: -0.79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17*0.131649.\nAnswer: -2.238033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/550740 and -35\/10412.\nAnswer: 10464060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 12*t + 1. Let q(m) = -8813*m + 4136. Let i(c) = q(c) + 3*u(c). What is the first derivative of i(y) wrt y?\nAnswer: -8777","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -345425 (base 7) to base 3\nAnswer: -10010222122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 w, 1 e, and 1 f when four letters picked without replacement from {a: 1, x: 1, f: 1, w: 6, e: 1, r: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -145598050, -145598051, -145598052?\n\"Answer: -r - 145598049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - 0. Let i = -1.374 - -1.074. Which is the closest to -2\/13? (a) -2 (b) i (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.421488 months to decades.\nAnswer: 0.1285124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118690 - 118690 - 3*t**2.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -116, -108, -96, -80?\n\"Answer: 2*o**2 + 2*o - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5*j - 798, j - 8*s - 166 = -11*s. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*k - 643*k**3 + 49*k + 5*k + 2*k.\nAnswer: -643*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 32484150 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 658 (base 12) to base 2.\nAnswer: 1110100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5825, -11546, -17267, -22988, -28709?\n\"Answer: -5721*n - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-52)\/6)\/(4\/(-60)). Let a = s - 79. Does 17 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 1. Let x(f) = -f**2 + 4*f + 6. Calculate -5*r(w) - x(w).\nAnswer: -4*w**2 - 4*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -6.04. Let j = c - 0.06. Let r = -0.01 - 1.99. What is the nearest to j in -2\/3, r, -1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/2 + (42\/(-12) - -6). Suppose -92 = -q*b - 72. Solve 0 = -5*j + 2*x + b + 2, 0 = -2*x - 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 17*u + 20. Let c(a) be the third derivative of -a**4\/6 - 5*a**3\/6 + 2*a**2 - 106*a - 4. Give -9*c(x) - 2*l(x).\nAnswer: 2*x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g. Let v(w) = 24968*w. Let y(u) = -9*u. Let a(x) = v(x) + 5*y(x). Calculate b(a(d)).\nAnswer: -24923*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 7*z + 2. Suppose 0 = f + 1, 0 = 4*i - 7*f + 2*f + 3. Calculate o(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1711 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6 - -11.6. Let s = -6 + w. What is the third biggest value in s, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - q = 2*q, 0 = -n + 2*q + 15. Is (-1)\/1 + 69 + n a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 24\/11, -2, 2\/9, 2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -5*j**3 + 9*j**2 + 3*j - 7. Let y(z) = -4*z**3 + 8*z**2 + 2*z - 6. Let c(n) = -3*k(n) + 4*y(n). Suppose -4*s + 155 = 14*s + 13*s. Calculate c(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**2 - a**4 + a**2 + (-51540 - 18155 - 2843 - a)*(-2*a**3 + a - a) in the form v*a**3 + p + d*a**4 + r*a + l*a**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/5)\/(2274\/(-15160)*4\/(-6)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90 and 7330.\nAnswer: 65970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -255 and -77580\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + q - 2*d = -300, 0 = 4*d. Let y be (q\/(-8)*4)\/1. What is the highest common factor of y and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201121011 (base 3) to base 9.\nAnswer: -21534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 6 = 3*j. Solve -j*s - 4 = -5*y, 5*y + 4 = -s - 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -11756871, -11756872, -11756873, -11756874?\n\"Answer: -n - 11756870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 20. Let q = y - 13. Suppose -2*m - 5*c + 53 = 0, -q*c = -3*c - 3. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -3 - 0) + (-10 - -8) + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*c = 713 + 427. What is the greatest common factor of c and 1335?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*o + 107*o = 3*p - 7, -9 = -4*o + p for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**3\/7 - 30*z**2\/7 = 0.\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 699, 668, 623, 558, 467, 344, 183?\n\"Answer: -a**3 - a**2 - 21*a + 722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -784562 - 647998 = -12*a. Round a to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 291531419?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 57798*j**3 - 8*j**2 + 7*j. Is v(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 130 + 59. Let d = 1096 - s. List the prime factors of d.\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - b**2 + b. Let m(y) = -54*y**2 + 11*y + 29. Let o(u) = 3*f(u) + m(u). Is o(24) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-642)\/(-42) - -11?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3161, 3543, 3925?\nAnswer: 4307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 3*k + 15905, 9*k - 7*k - 4*z = -10610. Let m = k + 7468. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 48*s - 49*s - 16, 3*s + 15 = 0. Which is bigger: n or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-93 - 24 + 20 - 11)*(0*y - y + 3*y).\nAnswer: -216*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -8230 - 9920. What is the hundreds digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-105)\/280)\/((-159)\/(-4))*(-1192)\/1490\nAnswer: 2\/265","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 19*a**2 + 60*a - 13. Let y be j(-15). Put y, -5, -2 in decreasing order.\nAnswer: -2, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11925, -12049, -12295, -12723, -13393, -14365, -15699?\nAnswer: -17455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*x**2 + 6*x**2 + 4*x**2 - 2*x**2 + 0*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 13468\/260 + 4\/(-5). Let w = -43 + f. Solve 4*t - 5*q + w = -0, 0 = -t - 4*q - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13475782*o + 2771265 wrt o?\nAnswer: -13475782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2825*z + 2825*z - 53792*z**2.\nAnswer: -53792*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 641249.3 decades to centuries.\nAnswer: 64124.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8\/31 + 84\/155. Let l be (-26)\/(-20) - 4\/8. Find h, given that -2\/5*h + l - z*h**2 + 2\/5*h**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 6. Suppose -35 = 4*t - 111. What is the remainder when (t\/2)\/((-4)\/(-8)) is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 y, and 1 d when three letters picked without replacement from ffvfddvfvyvffffv.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1309*u**3 - 444*u**3 - 433*u**3 - 430*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-600)\/500*(-10)\/9. What is the nearest to -25 in a, -2, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1135443.6696 rounded to the nearest 1000?\nAnswer: 1135000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = 2*r + 2, -3*r + 3 + 7 = 2*a for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1041\/7 + 149. Let c = 21.6 + -21.1. Sort 0.4, d, -6, c.\nAnswer: -6, d, 0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 352002595 to the nearest integer?\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + (-10)\/(-6))\/(60\/270). Suppose 3*c = -u - 6. Let a(d) = d**3 + 2*d**2 - 2*d - 2. Determine a(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2302.2651 months in centuries?\nAnswer: 1.91855425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 at most 2814\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 29, -2, 8, -3, 5 in decreasing order.\nAnswer: 29, 13, 8, 5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10112 and 2528?\nAnswer: 10112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 46 (base 16) to base 5\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**10)\/(s*s*s**19*s*s)*s**(-3\/7)\/s**(1\/5) assuming s is positive.\nAnswer: s**(-442\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 3*y - 29, 0 = -2*f + 5*y + 5 + 16. Suppose -f = x - 2*j - 25, 25 = x - 4*j. Suppose -2987 = -x*v - 980. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of 0*i + 0 - 3\/40*i**6 + 0*i**4 - 9*i**2 + 0*i**3 + 1\/30*i**5. Find the third derivative of m(r) wrt r.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 f when two letters picked without replacement from {g: 4, h: 6, q: 2, r: 1, f: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in 0.5, -0.4, -0.3, -3, -22?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/8)\/(3\/12). Suppose -12 = -j - f. What is the remainder when 26 is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 19016?\nAnswer: 19016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -5. Let o = u - 7. What is the third smallest value in 0.1, o, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttnt when four letters picked without replacement from {t: 3, n: 2, y: 7}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-175)*(-15)\/(-6).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 112*u**3 + u**2 + u - 2. Let b(s) = 3*s - 25. Let n be b(11). Suppose -4*w + 12 = n*w. Let z be m(w). What is the highest common factor of 14 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 19*s**2 + 41*s - 16. Let j be r(-21). Suppose -4*u = -2*x - 656, -j*x = 3*u - 0*x - 466. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -s**3*t**4 + 10*s**3*t**3 + 35*s**3 + 2*s**2*t**2 wrt t?\nAnswer: -24*s**3*t + 60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dbb when three letters picked without replacement from ddbbbbddbbddb.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m - 3. Let r be (-1 + (-3 - -3))*-3. Let b be p(r). Factor -5*w + 3*w - w + 3 - b*w**2 + 3*w**3.\nAnswer: 3*(w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1055 divided by 211.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/9)\/(9\/108).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*a**3*g - 169*a**3 - 216228*g wrt a?\nAnswer: 12*a**2*g - 507*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 - -14. Let k be (-29)\/(-9) + 4\/x. Suppose -k*y = 2*r - 141 - 732, 0 = 2*y - r - 589. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 705.4 (b) 3\/2 (c) 1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 20, 47, 84, 131?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 77565979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 644957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-23556)\/(-260) + (-1)\/(-5)*2. Differentiate 71*x**4 + z - 33*x**4 + 78*x**4 with respect to x.\nAnswer: 464*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41.3 times -1949202\nAnswer: 80502042.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(147)\/sqrt(3))\/sqrt(7).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*u**2*z**3 - 10317*u**2*z**2 + 2*u**2*z - 168091*u*z**3 + z**3 + 5*z**2 - 2*z + 4 wrt z?\nAnswer: 12*u**2 - 1008546*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 86750787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6882 - -1495. Let j = 13293 + p. Round j to the nearest one thousand.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 + 6. Let b = -653 - -688.1. Let t = s - b. What is the closest to t in -1\/6, -0.1, -7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -525.1 + 346.4. Round x to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1174, -348\/85, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(84)\/sqrt(48) - (sqrt(77)*2)\/sqrt(11)).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 2*u + 3*u - 13, 5*s = u + 50. Suppose s*g = 4*g + 85. What is the remainder when g is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.12 bigger than -3182061?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 111192329?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m - 2*c, 5*m = 10*m + 4*c + 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -3844*b**3\/7 - 161808*b**2\/7 - 1156788*b\/7 - 106920\/7 = 0?\nAnswer: -33, -9, -90\/961","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xrx when three letters picked without replacement from rrxrxrxxxr.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 7*b + 4. Let a be x(7). Let z be 1241\/119 + (a\/7)\/1. Solve z = 3*s + 5 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 115 and 3657?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z. Let m(x) = 158*x**4 - 5*x - 115. Let q(u) = -m(u) + 5*r(u). What is the derivative of q(y) wrt y?\nAnswer: -632*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 627*h**2 + 28*h + 94. List the prime factors of p(7).\nAnswer: 31013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-8) - 267\/(-6). Let f = j - 31. What is the third derivative of -o**5 + 5*o**5 - 14 + f + o**2 wrt o?\nAnswer: 240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0645 - -2.9355. Let j = 4.2 + -4. Which is the nearest to y? (a) -2\/3 (b) 1\/6 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 846, 63, -1286, -3201, -5682, -8729?\n\"Answer: -283*c**2 + 66*c + 1063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 165\/2? (a) -0.026 (b) 370\/3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-30)\/65 - 79552\/(-208). Round w to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 9:54 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 12*g - 7. Let n be r(7). Let z be 8\/(-28) + 285\/(-7). Let t = z + n. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2886 is divided by 62.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**5\/12 + 83*i**4\/4 - 251*i**3\/12 - 83*i**2\/4 + 125*i\/6 = 0.\nAnswer: -250, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2945933, -5891866, -8837799, -11783732, -14729665?\n\"Answer: -2945933*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 0*w + 3*w = 15, 5*s - 19 = -4*w for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*3\/(-45))\/((-1)\/2).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + f. Let i(c) = -23*c**3 + 2*c**2 + 53*c. Let g(m) = -i(m) - 4*q(m). What is the third derivative of g(u) wrt u?\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -14*l - 69. Let f be b(-5). What is the nearest to f in -1\/17, -1, -5?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -0.5, 6, 0, 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3248, -6232, -9214, -12188, -15148, -18088, -21002, -23884?\n\"Answer: s**3 - 5*s**2 - 2976*s - 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5 = -2*t. Let a = -2.23 - -3.23. What is the nearest to t in -2, a, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (-11 + 8 + -5 + 10).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.831345896 + 23.\nAnswer: 21.168654104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -6*r + 215. Let d be s(35). Suppose 4*p - 5*p - d*u = -181, -2*p = -4*u - 418. What are the prime factors of p?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -374.248 - 0.752. Let j = -374.4671 - o. Let f = j - 0.52. What is f rounded to 3 dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24090)\/12264*(-48)\/30\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5076 = -0*s + 2*o, 4*o + 10136 = 2*s. Is s a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -p - 6. What is the second biggest value in 1\/3, p, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**2 + 0*q**2 + 2*q**3 + 4*q**2 - 2 - 2*q**2 in the form y*q + p + o*q**2 + v*q**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 13*j**2 - 48*j - 30. Let g be q(-6). Solve g = 8*n + 22 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-9)*(-5940)\/55. Solve 35*u = f*u + 66 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (9\/(-18) + 1)*3358?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3894 and 137241.\nAnswer: 178138818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b*c**2 + 28*b*c*r - 2*b*r - 3684*b - c**2*r + 2*c**2 + 33*c*r with respect to r.\nAnswer: 28*b*c - 2*b - c**2 + 33*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.8 in 2, 1\/4, -29, -10, -0.16?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/3735 and -64\/225?\nAnswer: 18675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1413626?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19707835*c*n**3 + 184*n**3 - 77538*n with respect to c.\nAnswer: 19707835*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/4 (b) 14.8 (c) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(-2*sqrt(12)) + 3 + 4 + 4.\nAnswer: -sqrt(3)\/2 + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10315.5 - 10316. Suppose -i - 5*z - 12 = 0, i + 2*z - 2 = -5. Which is the third smallest value? (a) 4 (b) -1\/46 (c) i (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1272733 divided by -77.\nAnswer: 16529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 544*a - 8077. Determine o(15).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -2\/11, -1\/1504, -3?\nAnswer: -1\/1504","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 674*n = 891*n - 27125 for n.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000014982 to six dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lf when two letters picked without replacement from lhrjjjfjjhfhjjjhj.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 3*c + 2. Let a be i(2). Suppose a = 5*u - 4*f + 3, -5*u + f + 3 = 0. Suppose 0 = -5*b - 14 - u. Put b, 5, -5 in decreasing order.\nAnswer: 5, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3389943 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**5\/r*r**(1\/4)*(r\/r**1)\/r*r**(3\/2))\/((r\/(r\/(((r*r*(r\/(r*r**(2\/5)))\/r*r)\/r)\/r)))\/r*r*r*r*r**8*r)**(-8\/5) assuming r is positive.\nAnswer: r**(2271\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 7:50 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 13406*-318\nAnswer: -4263108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t. Suppose 4*q + 3 = 3*j + 8, 4*q = -j + 9. Let u(b) = -b**2 - b**2 + 5*b**q. Give v(u(d)).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -172*w**2 - 26*w + 9. Let a(d) = 175*d**2 + 25*d - 10. Let c(h) = 6*a(h) + 7*t(h). What is the second derivative of c(o) wrt o?\nAnswer: -308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -200*m**3\/3 - 26*m**2 + 114. What is the second derivative of s(v) wrt v?\nAnswer: -400","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13324785 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 10\/13, -40.23?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 6*t**2 + 14*t + 12. Let r(n) = n**2 + 2*n. Determine -2*o(w) + 14*r(w).\nAnswer: 2*w**2 - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 + 4*b + 93 - 142.\nAnswer: 4*b - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 108*y + 20. Let l be g(2). Let q = 12749\/9 - 3541\/3. Let n = q - l. Which is the second biggest value? (a) -4\/5 (b) n (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/((d\/(d*d**(-8)))\/d*d)))**(-25)*d\/d**(-2\/31)*d\/(d\/(d**(2\/33)\/d*d)) assuming d is positive.\nAnswer: d**(-203449\/1023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1052 - -1010?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6901 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 2*l - 1. What is the fourth smallest value in -2, -4\/7, l, 0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 72*v**2 - 327*v**2 - 488*v**3 - 200*v**2 - 344*v**2 - 583*v**2 wrt v?\nAnswer: -2928","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*r**5 - 307*r + 307*r + (2*r**2 - r + r)*(-2*r - 3*r + 4*r)*(2*r - 2*r**2 - 2*r).\nAnswer: 24*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 206 + -147. Let s = 36 - d. Let p = -22.9944 - s. What is p rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 18 - 0. Let a = 27 + -23. What is the lowest common multiple of a and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13007651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48 + 81. Let q = a + -36. Is q\/(3\/(-51)*3) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/2)\/o**(-5)*o**(-2\/17)\/o**0)**(-45) assuming o is positive.\nAnswer: o**(-6705\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 30*l**2 - 175*l + 14. Give f(35).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/40584*152\/(-8)\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 3*f**2 + 2. Let p be l(-3). Factor 3 + p*s**3 - 1 + s**4 + 2 - 5 - 2*s.\nAnswer: (s - 1)*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -25*l. Let w(j) = -j**2 - 10*j - 13. Suppose 0 = -n - 12 + 4. Let o be w(n). Let v(s) = -5*s + 14*s - 4*s - o*s. Determine p(v(h)).\nAnswer: -50*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 3:09 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in 6\/5, -3\/4, -3, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*w + 9*w - 16. Let k be (-57 - -2)*w\/(-20). Let u = k - -30. Is u a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/7 (b) -7591 (c) -1 (d) -5 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 5040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -35*u - 9\/20*u**5 + 4*u**4 + 1\/28*u**7 + 0*u**2 - 1\/4*u**6 + 8*u**3 + 0. What is s in r(s) = 0?\nAnswer: -2, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jrjjjjrrrjrjr. Give prob of picking 2 r.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -168 - -91. Let t = -44 - b. Let g(i) = 5*i**2 + 4*i. Let x be g(-3). Is x equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6350805 at most 44455641\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -172?\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + -680.\nAnswer: -679.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004931472 rounded to six decimal places?\nAnswer: -0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*o - 5*o - 210. What is the smallest common multiple of 60 and o?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1058363 (base 9) to base 7.\nAnswer: 4563624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 9*m + 5. What is t(-7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - q + 568 = -9*f, -3*f = -2*q + 431. Let w = f - -99. Let m be (-602)\/w - (-4)\/6. What is the highest common factor of m and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8182*y**2 - 9247?\nAnswer: 16364*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -847.5 at most as big as -63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 2*y + 5*o, 0 = 61*y - 61*y + 2*o + 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5 + (-5*(sqrt(18) + -1*sqrt(18)*6))\/(2*(sqrt(81) + sqrt(9))*1) + 3.\nAnswer: -3 + 25*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 12, e: 2, u: 3, j: 2, z: 1}. What is prob of picking 1 u, 1 j, and 1 e?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 260 = 4*n, 0*y = 4*n + 3*y - 264. Suppose 15303 = 28*f - 5949. Calculate the highest common divisor of f and n.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2341688601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of 0*j**4 + 0*j**6 + 0 + 7*j - 7\/2*j**3 + 0*j**5 + 10\/21*j**7 + 0*j**2. Find the second derivative of i(v) wrt v.\nAnswer: 400*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 135 in -0.5, -0.2, -1\/3, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 157407.705 nanoseconds to weeks.\nAnswer: 0.0000000002602640625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10181242.\nAnswer: 2, 5090621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3118*g**2 + 1215*g**2 + 0 + 1463*g**6 - 2762*g**2 + 0 wrt g?\nAnswer: 175560*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7152420?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/24*-2 + (-4)\/16. Suppose -4*c + 369 + 27 = v. Let o = -77 + c. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 31509.823 to the nearest ten.\nAnswer: 31510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 306 = 14*q - q - 149. What is the highest common factor of q and 9205?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -1 (b) -0.1 (c) -0.13 (d) -8 (e) 2\/21 (f) -3 (g) -110\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -37583 and -0.016.\nAnswer: -37583.016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 5*u - 30, u - 104 = -5*i + 3*u. Let f = 60 - i. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**3 + 314*u**2 - 3008*u - 3320 = 0.\nAnswer: -166, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**3 - 4*p**2 - 11*p - 2. Let u be d(-3). Suppose -u*m + 58*m - 243 = 0. What is the remainder when m is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of x**4\/30 - 27*x**3\/5 - 166*x**2\/5 - 2*x - 30. Factor b(g).\nAnswer: 2*(g - 83)*(g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -3. Let q = f - -1. Which is the nearest to q? (a) 2\/17 (b) 2\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -47, -11, -2, -1 in ascending order.\nAnswer: -47, -11, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -100000000 to the nearest 1000000.\nAnswer: -100000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1696 - -1695. Sort o, 3\/16, -0.5 in descending order.\nAnswer: 3\/16, -0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 3*t + 2*t - 106255, 0 = -5*g - 2*t + 106261. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2*n + 4. Let o = 0 + n. Solve -3*s - k = -o*k + 12, 5*k - 15 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of 1\/2*g**3 + 2*g**2 + 0 + 1\/3*g**4 + 1\/20*g**5 + 4*g. Let u be f(-3). Put 0, -1, u in descending order.\nAnswer: u, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of 1\/12*l**4 - 1\/2*l**2 + 0 + 1\/20*l**5 - 2*l - 1\/2*l**3. Suppose 2*o = k - 2, -2 = 5*o - 2*k - 2*k. Determine n(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -494519*q*x + q + 906032*x - 2 with respect to q.\nAnswer: -494519*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of s**4\/6 - 4*s**3\/3 - 10*s**2 - 3*s + 1975. Calculate i(8).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17494258.6 to the nearest one million.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + (-3 + sqrt(99) + -3 + sqrt(99) + sqrt(99)*-2 + sqrt(99) + sqrt(99) + -4)**2).\nAnswer: -120*sqrt(11) + 496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/(78\/(-322) + 12\/42)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8324 is divided by 2752?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vffj when four letters picked without replacement from fjnnjvvfffyjvv.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -2 - 2. Suppose 0 = -0*b + 3*b - 6. Suppose -5*c = 4*v - 46, -b*v + c + 13 = -3. What is the greatest common divisor of h and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2440 and 440?\nAnswer: 26840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*a - 2145 = -54*a - 945 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141927290.\nAnswer: 2, 5, 233, 60913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1977589066?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 64 + -2?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3188 * -1444.9.\nAnswer: 4606341.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 128987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 152509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 930.6567 millennia in years?\nAnswer: 930656.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1a9a2 (base 14) to base 16\nAnswer: -108b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2458*t + 2463*t - 89 = 2*l, 236 = -5*l - t for l.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 18*q - 10*q + 8*q. Let c be p(1). Suppose x - c = 15. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**5 - 90*y**4 - 245*y**3 + 1440*y**2 - 1100*y = 0. Calculate y.\nAnswer: -11, -10, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**4\/11 - 2*o**3\/11 + 4*o**2\/11 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2522078, 5044153, 7566224, 10088291, 12610354?\nAnswer: 15132413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(2\/3))**4*(t*t*t*t**(1\/4))**(-45))**(8\/5))**27 assuming t is positive.\nAnswer: t**(-31014\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 435103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20532 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) -1\/505 (c) -2 (d) -1\/7 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -1. Suppose o + 2*b = -0 - 5, 5*b + 14 = -4*o. List the prime factors of (7 - (1 - o))\/v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -31*x + 54. Let t be s(-6). Calculate the greatest common divisor of t and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7}. Give prob of picking 4 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-147)\/(-9) + (-8)\/(-12) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-11 - (-455)\/42). Factor 0 - 21\/2*p**2 + w*p**3 - 3*p.\nAnswer: 3*p*(p - 2)*(4*p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2374 divided by -5.\nAnswer: -2374\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 5 + 14. Suppose -4*z + 2*u + 442 = 0, -57 = -2*z + g*u + 166. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 14, m: 5, u: 1}. Give prob of sequence mimu.\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 19*u - 2. Let b(h) = 6*h - 1005. What is b(q(c))?\nAnswer: 114*c - 1017","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1871697 by 623899.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, o: 2, j: 1, a: 7}. Give prob of picking 1 a and 1 j.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (123*q**4 - 42*q**4 - 13*q**3 + 12*q**3)*(2 + q - 2).\nAnswer: 81*q**5 - q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/((-32)\/(-168)) + 1. Solve p - 5*q + v = 0, -3*p = 3*q + 1 - 7 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (528\/20)\/((-6)\/(-40)). Let r = -251 + t. Let l = 749\/10 + r. Sort 0, l, -3, -0.4.\nAnswer: -3, -0.4, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 15091 = -3*l, 7*l - 4*y - 20084 = 3*l. Find the third derivative of l*j**3 - 2536*j**3 - 255*j**2 - 2697*j**3 wrt j.\nAnswer: -1248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 93636305 to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 0.4397075.\nAnswer: 1.75883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 288979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/11 + 157460*i**2\/11 + 3097316066*i\/11 - 74426310192\/11.\nAnswer: 2*(i - 24)*(i + 39377)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11)\/((-55)\/35) + -2 + 0. Suppose -2*z = -o*r + 17 + 3, 5*r - 50 = -4*z. Does 5 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11847 - 11847 + t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 2*x - 10. Let i = x - 1. Suppose -h = -i*y + 2*h + 1, 2*y = -3*h + 5. What is the remainder when 1 is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x + 26. Calculate h(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 168191827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 50368 - -233421.85\nAnswer: 283789.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 12 = 12*t. Let s be (t + -7)*1\/(-1)*1. Let r be s + -9 - -21407 - 3. Round r to the nearest one thousand.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**3 - 13*y**2 + y + 6. List the prime factors of w(7).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008)*1 - sqrt(1008) - sqrt(1008)) + -4 + sqrt(1008) - (4 + (sqrt(1008) - (sqrt(1008) + -1)))) + -4.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-9 - (-3 - -3)) - -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -11\/4. What is the third biggest value in 0.09, -0.4, 1\/2, j?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 6*f**2 - 11*f - 22. Let d be k(-5). Let i be 1\/d - 1207\/(-1224). Determine g so that -8\/9 - 2\/9*g**2 - i*g = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18802 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 202, -763 in increasing order.\nAnswer: -763, 4, 202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 4. What is the nearest to y in 5\/2, 4\/3, -9?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 3*b - f, -4*b - f - 43 = -7. Let u(t) = t**3 + 6*t**2 + 40. Let h be u(-6). What is the common denominator of -89\/10 and (-944)\/h - ((-8)\/b)\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-680)\/(-32) - ((-9)\/12)\/(-3) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*i = 2*i + 1, -t = -2*i - 13. Suppose -396 = -15*r + t*r. Suppose 3*d = -d + 68. What is the remainder when r is divided by d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -51, -127, -237, -381, -559, -771?\nAnswer: -1017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1496?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + 91967?\nAnswer: 91994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*3\/(18\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -45042365 + -2?\nAnswer: -45042400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 88 + -680. Let j = 971 + i. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2100348 - -127436. Let o = 9872912 + b. Round o to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of 1\/27*o**4 - 2 - 1\/90*o**5 + 0*o**2 + 2*o + 1\/9*o**3. Determine b so that y(b) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4610 = -g - s - 4605, 0 = 5*g - 3*s - 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)\/((4*sqrt(66))\/sqrt(6)))\/(sqrt(8) + (sqrt(8) - (sqrt(8) - sqrt(72)))*-4 - (sqrt(128) + sqrt(128)*2 + sqrt(8))).\nAnswer: -sqrt(2)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.72+-0.086\nAnswer: 0.634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 439 - 447 - ((63 - (1 - 1)) + 0).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 166441170 to the nearest integer?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 1:18 AM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -108*k + 862. What is o(8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.127 + -0.128. Round i to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 478*y - 14386. Calculate l(30).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 497 - 501. Suppose 0 = -11*j + 18*j - 35. Put 4, d, j, -6 in decreasing order.\nAnswer: j, 4, d, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 161, -3, -4, -85, 13 in increasing order.\nAnswer: -85, -4, -3, 5, 13, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(931) - ((sqrt(931) - (sqrt(931) - (0 + sqrt(931)))*-4)**2 - sqrt(931)) - 5*(sqrt(1900) + sqrt(1900)*-1).\nAnswer: -931 + 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51 and 99?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4286*a**3\/3 - 102944*a**2\/3 + 105230*a\/3 + 2000\/3 = 0.\nAnswer: -25, -40\/2143, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*n - 107 - 93 + 55 = 0. Solve 0 = -4*t + 5*m + 5, -10*t + 5*m = -8*t + n for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(1\/4))**49*(w**(-1))**(-2\/67) assuming w is positive.\nAnswer: w**(16423\/268)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 8*o**2 - 6*o + 6. Let f be c(6). Suppose r = 5*i + 6, 43 = 2*r - 2*i + 7. Calculate the highest common factor of r and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2389310?\nAnswer: 2, 5, 7, 11, 29, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*q - 24*q - 9 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 6:45 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (854 - 854 + 47*m**2)*((3 - 2 - 2)*(-3 - 4 + 2) + 3 - 1 + 0).\nAnswer: 329*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 76 = z, -v = v + 4*z - 48. Solve 2*p = 3*q + 5, -q = 3*q - 5*p + v for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 148?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(700))*4 - (-2 + sqrt(4032)*1 - sqrt(4032))) + 4)**2.\nAnswer: 480*sqrt(7) + 11236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 6*w**5 + 9*w**4 + 9*w**3 - 9*w**2 - 9*w - 6. Let o(n) = -11*n**5 - 18*n**4 - 17*n**3 + 17*n**2 + 18*n + 11. Let p(t) = 5*b(t) + 3*o(t). Factor p(j).\nAnswer: -3*(j - 1)*(j + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7759 + 3*k**3 - 7759.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + 838\/(-4)*(-29 - 3). Suppose -q + 5*g - 80017 = r, 4*q + 346785 = -3*g. Round q to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 37 = -4*u - 31, -4*j + 54 = -3*u. Suppose -2*s - 2*f + 59 + 39 = 0, 4*f = 2*s - 80. What is the remainder when s is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 9 = -5*v + 4*s, -2*v - 4*s - 8 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 1 + 1)*(0 + 1 - 3) - 1 + 3 + 0 - 972 - 551 - 1799 - 1583)*(0*y + 0*y - y**2) in the form t*y**2 + u*y + d and give t.\nAnswer: 4901","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -40 - 633?\nAnswer: -673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (350 - 284 - (3 - 0 - (-2 - -3))) + -11?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15592*f - 1246255 + 315563 = 4770*f for f.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (416020\/(-9394))\/(15\/(-42))\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-28)\/(-2))\/((-2)\/4). Let f = 9027 + -9033. Let g be (d\/70)\/(f*3\/10). What is the smallest value in g, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 320482 or 320486?\nAnswer: 320486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 56193*p - 194. Is y(15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 129109 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of 1\/18*w**4 + 1\/15*w**6 + 0 + 3*w + 1\/10*w**5 + 0*w**3 + 1\/63*w**7 + 0*w**2. Factor j(s).\nAnswer: 2*s**2*(s + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/((3 + 1)\/4). Solve 5*f - 15 = 0, -6*c + q*f + 9 = -c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 11*x**2 + x + 2. Let a be q(2). Suppose h = -3*h + a. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1309593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*y**2 - 1712*y**2 + 507*y**2.\nAnswer: -1168*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 84 + 98*q - 97*q to the form s*q + x and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31679662*w**3 + w**2 - 246*w - 439488 wrt w.\nAnswer: -190077972*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 111*v - 503*v - 71*v in the form n*v + q and give n.\nAnswer: -463","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23 or 52\/103?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -27. Let d be 20 + f - (-1 - -12). What is the closest to 1 in -4, -1\/3, d?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -3*r**2 + 10*r + 5. Find the first derivative of q(j) wrt j.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 14*i - 11. Let l be m(-5). Let t = 728\/9 + l. Which is the closest to 0.6? (a) 0.1 (b) -2\/17 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 68*g**2 + 13*g + 2. Let v(b) = -136*b**2 - 26*b - 5. Let r(h) = 13*c(h) + 6*v(h). What is the hundreds digit of r(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**4\/8 + 6969389*x**3\/8 - 13938773*x**2\/8 - 6969389*x\/8 + 6969387\/4 = 0.\nAnswer: -1, 1, 2, 6969387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143326?\nAnswer: 2, 71663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3936 divided by 32.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*t + 26*t = 6*t + 6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + 25462.3157?\nAnswer: 25435.3157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1645 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.346927 + -0.046927. Let t = -5 - -2. Which is the third smallest value? (a) u (b) -5 (c) -0.3 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47001 is divided by 9398?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 10 = 0, 2*j + 2 = -n + 3 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-4) + -1 + 8\/344*86. Factor -1\/8*w**2 - 1\/2 - v*w.\nAnswer: -(w + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -5*r - 95, p = -p - 3*r - 93. Let w be ((-1)\/(-3))\/(p\/(-25515)). Calculate the greatest common divisor of 42 and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*o**2 + 47711*o - 552 + 552.\nAnswer: -17*o**2 + 47711*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1590950629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**2. Let k = 3 - 7. Let b(v) = -4 + 2 + 4*v + 2 - 4. Let o(m) = -m**2 - m + 1. Let n(p) = k*o(p) - b(p). Calculate f(n(i)).\nAnswer: 32*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**3*w*w**(-6\/7)*w\/(w*w**(-1\/14)*w)*(w*w**(-2\/5)\/w)\/w assuming w is positive.\nAnswer: w**(57\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32.8 + -21.06. Let v = 0.26 + d. Let g = 5 - v. Which is the smallest value? (a) g (b) -1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.7 and -0.9?\nAnswer: 0.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, 6, -0.7, -2.8?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 247 + -237. Suppose 29 + w = 39*k. Solve l = -k + 4 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 * 105\nAnswer: -840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 8*y + 19. Let a(k) = k**2 + 8*k - 19. Let w be 0\/(-4) - 3\/(-1). Let g(q) = w*a(q) + 4*d(q). What are the prime factors of g(-8)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 92691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5238, -5239, -5242, -5247, -5254, -5263, -5274?\nAnswer: -5287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -2 (c) -24 (d) -0.07 (e) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2 = 8. Suppose 3*i + a*z = 2048, 2*i - 3*z = 847 + 550. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 74*t + 113*t - 187*t - 983*t**4 + (3 - 7*t**3 - 3)*(3 - 3 - 3*t).\nAnswer: -962*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -839935 (b) 0.5 (c) 8\/79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from jgjzjqjqjgqbgbj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 10*d**2 - 8*d - 11. Determine z(-8).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69243512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4490039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*s + 374*s - 128*s - 126*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22 + 19 + 13 - 69*w - 50 - 555*w to f + d*w and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 645548945 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 60\/2 + 2\/1. Find the second derivative of 2 - 3*a + 63*a**5 + 90*a**5 + i*a + 28*a wrt a.\nAnswer: 3060*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/2)\/((l**17*l)\/l)*(l**10\/l)\/(l**(-17)\/l) assuming l is positive.\nAnswer: l**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*t = 3, 4*n - 13 = -3*t. Find the common denominator of (-2)\/n + 94\/20 and 15\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -1\/60*z**5 + 0 + 1\/6*z**4 + 1\/2*z**3 - 5*z**2 + 0*z. Let n be v(4). Solve -3*p + n = -9 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, w: 2, u: 2, a: 2, i: 5, d: 1}. Give prob of sequence tu.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1161*v**2 - 819654 + 819654)*(v**3 + v**3 - v**3) + (-4 + 4 + 2*v)*(2*v**4 - v**2 + v**2).\nAnswer: 1165*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**5\/7 - 196*j**4 + 2752*j**3\/7.\nAnswer: -2*j**3*(j - 2)*(j + 688)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1607730 and 16613210.\nAnswer: 49839630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -113\/12 >= -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 f when three letters picked without replacement from fdfd.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j + 0*j**2 + 2*j**2 - 2 + 13*j**3 - 4*j**2 + 3. Let a be w(2). Suppose -30*n + a = -27*n. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 6*h**2 + 4*h - 4. Let c be 334\/(-26) + 12\/(-78). Let q = -12 - c. Let s(m) = 3 - 4 - 2*m + 3*m + m**2. Determine q*w(x) - 4*s(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(78))\/sqrt(6) - (sqrt(13) + (sqrt(13) - (sqrt(13) + -3 + 0)**2)).\nAnswer: -5*sqrt(13) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 2*i = 3, 12*u + 5 = 8*u + 3*i for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - k**2 + 9. Let y be q(0). Suppose z = -2*z + y. Let n = z - -3. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 162006?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r. Let w(a) = 113*a + 4. Let z(k) = 43055*k + 1526. Let s(f) = 763*w(f) - 2*z(f). What is m(s(b))?\nAnswer: 109*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 + 820*y + 18000.\nAnswer: 4*(y + 25)*(y + 180)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 7*i + 3*j + 6903, 3*i = 4*j + 6906. Suppose 24*b - 222 = i. What is the least common multiple of b and 18?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**4 + 3*d**3 + 11*d**2 - 5*d. Let i(t) = 2*t**4 - 3*t**3 - 10*t**2 + 4*t. Let q(j) = -5*i(j) - 4*r(j). What is the third derivative of q(k) wrt k?\nAnswer: -144*k + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9620\/23 + -2954490\/7061. Let f = -23853\/2456 + g. What is the common denominator of -121\/6 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3713448*l**3 + 9*l**2 + 106*l - 55702 wrt l.\nAnswer: 22280688*l + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*m - 0. Let q(z) = 2*z**m + z**3 + z - 3*z + 0*z**2. Calculate the remainder when 6 is divided by q(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/6)\/(336\/(-111) + 3). Suppose -41 = f - p. Sort 1, f, 3, 2 in descending order.\nAnswer: 3, 2, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-12) + (-20)\/(-6). Suppose j + b*j = 8. Find the second derivative of j*r + 3*r**3 - 4*r**3 - r wrt r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1 + sqrt(325) + 5.\nAnswer: 2 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 137 = -5*v + 144, -3*v = -k + 49. Calculate the highest common factor of k and 6976.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3736*z - 4 + 4.\nAnswer: -3736*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 352\/19 or 6?\nAnswer: 352\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, 0.663, 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101 = 10*p - 61 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*y + 13*y - 7*y to t*y + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 45\/(-60)*(-1 + ((-104)\/(-16) - 6)). Factor -3\/2*z + 0*z**2 + 0 + q*z**3.\nAnswer: 3*z*(z - 2)*(z + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -131, -19815, 1\/2?\nAnswer: -19815","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 159767554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*s + 280*s + 43*s + 310*s.\nAnswer: 536*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 6 + 3 + 20*k in the form t*k + m and give t.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 7 + 2*r + 5.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (465621\/(-179085))\/(-1 - (-13)\/10)\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2576608 times 4?\nAnswer: 10306432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.466 times 78.2?\nAnswer: -114.6412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10244 and 364?\nAnswer: 71708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1440 (base 11) to base 9.\nAnswer: 2485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.05, 2\/13, -2\/19, 180\/127?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 8. Suppose -4 = -2*x - 3*v, -3*x = 5*v - 10*v + 13. Let y be -1*(x + (-24)\/(-21)). What is the second biggest value in r, -4, y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 0.3312?\nAnswer: -1.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 - 53. Let u = v - -46. Let k = 40 - u. What is the remainder when k is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kw when two letters picked without replacement from {w: 2, t: 1, k: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5, -2\/17, 2, 102, 0.3, 2\/83?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5372972 and 1672.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18333399 to the power of 1\/2, to the nearest integer?\nAnswer: 4282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -452 - -1388\/3. Factor 0 + 16\/3*p**3 + k*p**4 + 0*p + 2\/3*p**2.\nAnswer: 2*p**2*(4*p + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w**2 - w + 9. Is b(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 80 (b) -1 (c) -14 (d) -2\/11 (e) -2\/39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1101 + -1076. What is the greatest common divisor of 25 and p?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 34 = -w - 0*w, 4*w - 4*v - 152 = 0. List the prime factors of (2 - (-1 - -63))*(31 - w).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/1066 and 91\/30834214.\nAnswer: 400844782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1b024 (base 13) to base 3\nAnswer: -2200101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2.8 * -40843\nAnswer: 114360.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-74*c - 2 + 3 + 73*c - 4*c**2 - 5*c**2 + 3*c**2 + 3*c**2 + (0 + 2*c + 0)*(4 - 2*c - 4))*(0*c**3 + 0*c**3 + 2*c**3).\nAnswer: -14*c**5 - 2*c**4 + 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) + -1 + (sqrt(2448) + 2 - sqrt(2448) - sqrt(2448)) + -2)**2 + 6*(sqrt(2448) + (sqrt(2448)*-1 - sqrt(2448)))**2*4)*6.\nAnswer: 352518","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 1.451\nAnswer: 0.7255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7bb32b (base 15) to base 11.\nAnswer: 3377588","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(-2)*(33 - 35). Suppose -22*p + v + 17 = 0. Let z(h) = 17*h**2 - 1. Give z(p).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41.43 - -45.43. Let m = 22.5 - 3.5. What is the nearest to m in 0.5, 1\/11, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 14*c + 2. Let m(h) = h. Determine -3*m(x) + q(x).\nAnswer: 11*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(117)*-2 - sqrt(117)) + sqrt(117) + 3*sqrt(117)*-1)\/(((sqrt(81) + sqrt(81)*-3)*4)\/sqrt(9)).\nAnswer: -5*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, h: 1}. Give prob of sequence nhn.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2149952 rounded to 2 dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 1880 = 2*l, -u + 4*l = -0*u - 931. What is the hundreds digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + -18813.\nAnswer: -18814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 6*o = -6*o. Solve o*w - 2*w - 6 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 2\/3, 1\/4, -0.067?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/45 + (-2)\/(-6). Let f(s) be the first derivative of w*s**2 - 2*s - 1\/3*s**3 + 2. What is the derivative of f(g) wrt g?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2110187603?\nAnswer: 2110187603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24190 by -590.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -27.12 + 80741.4\nAnswer: 80714.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*r**2 - 37077*r + 37077*r.\nAnswer: -116*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y + 2. Let h(c) = -28*c**2. Determine s(h(t)).\nAnswer: -28*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 8:23 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18019?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3756 (base 10) to base 7\nAnswer: -13644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (sqrt(704) + 0)*-2*2*-2)*2*4)**2.\nAnswer: -40960*sqrt(11) + 2885184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(684) + sqrt(684) + sqrt(684)*-3)**2.\nAnswer: 24*sqrt(19) + 688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -161 at least as big as -163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67581, 67582, 67583, 67584?\nAnswer: 67585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*o**3 - 759867292*o**2 - 9021848365194920*o + 2255462138790436.\nAnswer: -4*(o + 23745853)**2*(4*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 27*k**2 + 8*k - 8. Let c be 24\/9*10\/((-80)\/(-6)). Does 6 divide j(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 316 and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 615349\nAnswer: -8\/615349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38429?\nAnswer: 83, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28427817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 538*-1*(-1)\/(-8 + 6). Let s = q + 252. Let u be -4*3\/(-16)*-20. Is u != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12519115 to the power of 1\/3, to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kabi when four letters picked without replacement from bkiabkkiikibiibk?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 14727, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2016244 (base 7) to base 3.\nAnswer: 110012001201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140)\/(sqrt(28)\/sqrt(4)))\/(5*(sqrt(10)*-2 - sqrt(10))) + (sqrt(4)*-2*1)\/(sqrt(6)\/(sqrt(3) + sqrt(15)\/sqrt(5))))**2*-4.\nAnswer: -29768\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 65 + 105 = 0. Let y = m + 102\/5. Let u be 1 - (-8)\/(-18)*3. What is the nearest to 0 in -0.2, u, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 - 3*m**2 - 315*m**3 - 724*m**3.\nAnswer: -1039*m**3 - 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3*t = 2, 0 = 5*d - d + 2*t. Let o(q) = -q**2 + 6*q - 5*q - 7 + 8 - q. Let s be o(d). Sort 1, 5, s.\nAnswer: s, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -404*m**4 + m**3 + 22*m**2 + 7*m + 726159?\nAnswer: -1616*m**3 + 3*m**2 + 44*m + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - (-4)\/(-5) - 13\/15. Let k = 2.8 - 3. Which is the closest to k? (a) -1 (b) 1\/9 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41*n**3 + 25*n**2 + 2*n wrt n.\nAnswer: 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58492*s**3 + 29283*s**3 + 29210*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 16.3. Let k = 3 + -2. Let s = u - k. Which is the nearest to 2\/5? (a) -0.05 (b) s (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 220013 (base 4) to base 10\nAnswer: 2567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 6:25 PM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*o**3 + 7557*o - 27787476?\nAnswer: 24*o**2 + 7557","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-182)\/(-63))\/(-6 + 392\/63).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 623523220631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.21? (a) 3\/4 (b) -116\/3 (c) 6 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - k**2 + 2*k. Let o(b) = -b**3 - b**2 - b + 2. Let u be o(-3). Suppose -3*t + 21 = -3*s, 3*t - 5*t + u = -5*s. Determine w(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 859330172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 14*w - 32 = 0. Let s be (w\/(-84)*3)\/((-4)\/(-112)). Solve -1 - s = -3*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38\/3*(-3630)\/(-2299)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + ((4 + -3 + sqrt(162))*-6)**2 + 1) + 1.\nAnswer: 1296*sqrt(2) + 11731","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/((-15)\/(-165)*-11)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/5 - 405761*k\/5 - 15417474\/5.\nAnswer: -(k + 38)*(k + 405723)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010 (base 3) in base 4?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*u - 17 = 0, 0*u = q + u - 18. Suppose -59 = -8*y - q. Suppose -5*n + 85 = -t, y*n + 23 = -3*t + 108. List the prime factors of n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7754, 7772, 7790, 7808, 7826?\n\"Answer: 18*h + 7736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 2\/11 (b) 0.4 (c) 0.2 (d) 0.114 (e) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (0 + (sqrt(1053) - -2*sqrt(1053)*-5 - (4 + -3*sqrt(1053)) - (-4*(sqrt(1053) - sqrt(1053)*-1)*-5 + -1)))**2.\nAnswer: 2484*sqrt(13) + 2228156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnn when four letters picked without replacement from {n: 14, b: 1}.\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1446, -3183, -4920, -6657, -8394, -10131?\nAnswer: -11868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 54\/(-12))\/(2\/4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 83 - 73. Solve 5*b - 10 - x = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 49*r**2 + 97*r - 130. What is k(47)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9 - -10) + 17*1. Solve r = o - 5*w, 0 = -o + 2*o + 3*w + 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2154315 (base 6) in base 7?\nAnswer: -631322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2*d**2 + 3)*(-10*d**2 - 34 + 34) to the form h*d + y + f*d**2 + n*d**4 + l*d**3 and give n.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19011190?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3 - 5)*(-87*n - 21*n - 55*n) + 10*n - 10*n - 4*n + 0*n + 0*n to t + w*n and give w.\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of 11*g**4\/12 - 7*g**3\/6 - 6*g. What is the second derivative of t(k) wrt k?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**2 - 4*n**2 + 2 + 0*n**2 + (-n - n - 3588 + 3565)*(1 - 4 + 0)*(0*n + n - 3*n).\nAnswer: -13*n**2 - 138*n + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 49, 1\/3, 3, 6\/25?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 137490361 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**4\/13 + 1850*h**3\/13 - 23736*h**2\/13 + 21888*h\/13 = 0.\nAnswer: 0, 1, 12, 912","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -47\/4. Let y = r + 1\/2. Suppose 0*a + 1\/4 - y*a**2 = 0. Calculate a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 8*q**2 + 8. Let b(t) = -t**2 - 1. Suppose -369 = -5*m + 3*n - 19, m - 2*n = 70. Let g be (-35)\/m - (-22)\/(-4). Determine g*b(a) - h(a).\nAnswer: -2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**0\/(l\/(l**(-3\/2)*l))*(((l*l\/l**(-2\/13))\/l)\/l)\/(l\/(l**2\/l)))**(-4\/3))**11 assuming l is positive.\nAnswer: l**(770\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 64 - 61. Which is the nearest to 3? (a) n (b) -26 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13508 - 13505. Which is the nearest to 0.1? (a) -7\/16 (b) 4\/3 (c) j (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/((c**(-4)\/c)\/c)))\/(c*c**(-3\/5)*c))**1 assuming c is positive.\nAnswer: c**(-37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -19*j - j**3 - 16*j**2 - 5 - 13*j + 11*j + j. Let z be x(-15). Let r be ((48\/(-10))\/2)\/(21\/z). Let s(b) = -b**2 - 8*b + 2. What is s(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31172.6 - 1.73534\nAnswer: 31170.86466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**4\/a*a**(-7)*a)\/(a**(-1\/2))**44 assuming a is positive.\nAnswer: a**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3074 is divided by 710.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 2*p**2. Let b(v) = -2*v**3 + 4*v**2 - 1. Let u = 4009 + -4015. Calculate u*b(t) + 11*y(t).\nAnswer: t**3 - 2*t**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.1, -7, -0.4, 438.3 in descending order.\nAnswer: 438.3, 0.1, 0, -0.4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 + -1*(-12)\/(-3). Suppose -4 = k - l*i - 2, k - 5*i - 4 = 0. Let j(p) = p - 1. Determine j(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, a: 4, d: 2, g: 1}. What is prob of sequence aa?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h + 3*h - 28278 = 0. Let m = 558 + h. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/37, 0.4, -5\/3, 37\/2?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 3*m**5 - 798*m**4 + 22509*m**3 + 129558*m**2 + 106248*m = 0.\nAnswer: -4, -1, 0, 38, 233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(126) - 2*sqrt(126)))\/(sqrt(2)*1*5))\/((sqrt(81) + sqrt(81)*-1 + sqrt(81))*3*3).\nAnswer: sqrt(7)\/135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s + 7. Let c be d(-4). Let z be 39*-2*c\/(-18). Let a = -5 + z. Solve 0*g - 2*g + a = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 15*a + 20, -5*a - 56 = -5*r - 21 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 8:09 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -2 + -10 + 0 + 7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 514 = -3*l - 1169, 2*k - 1140 = -l. Calculate the remainder when k is divided by 52.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -v + 2227. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from ppkkkkkkkkp.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lg when two letters picked without replacement from {a: 1, o: 2, k: 3, l: 3, t: 3, g: 2}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -278 + 390. Let y = -117 + k. Suppose -2*v = 5*u - 0*v - 65, -5*u + v + 50 = 0. Sort 3, y, u in descending order.\nAnswer: u, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308779 is divided by 3088.\nAnswer: 3067","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 3*x + 47 = 5*q, -2*x = x + 2*q - 32 + 2 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2 + 3*o + 7. What is the tens digit of w(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*y + 8. Let o(p) = -7*p**3 - 5*p**2 + 3*p - 5. Let j(h) = -h**3 - h**2 + h - 1. What is y*o(b) + 5*j(b)?\nAnswer: 2*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1385.19575 + -1384.6. What is x rounded to three dps?\nAnswer: 0.596","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n - 7. Let v(w) = 2*w - 4. Let i be v(4). Suppose h - i = 3*j, 5*h + 4*j + 22 = 3*h. Let m be (h + -13)*(-1)\/3. Give c(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1644 is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4261 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8130345 - -1.386\nAnswer: 8130346.386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 22270666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/129 and -53\/12?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**3 + f**2 + 4*f + 4. What are the prime factors of w(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -114333423 (base 5) in base 2?\nAnswer: -10000100100100001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (112 + 27 - 83) + -108\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -18. Let n = y + 13. Let a = -5 + 3. Sort 0, a, n in descending order.\nAnswer: n, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(-2\/3))\/f)**(-34\/5))**(-2\/21) assuming f is positive.\nAnswer: f**(136\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 4 = -3*h. Suppose 12 = 2*f - h*w, -38 = -4*f - 2*w + 4. Let q = f + -6. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.27181871 - 30.46936071. Let n = i - -30.2. What is n rounded to four dps?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.659968, 21, 2\/9, 0.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 848 and 29752214.\nAnswer: 29753062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -26364 times 0.02\nAnswer: -527.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a micrometer in nanometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 55*q**5 - 8733*q**4 + 291689*q**3 + 4593269*q**2 - 5772180*q + 895900 = 0.\nAnswer: -62\/5, 2\/11, 1, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*(2\/1)\/4. Let c(i) = 2*i**2 - 2*i - 2. Let s be c(x). Let r = 1 - -2. Which is smaller: s or r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) -10 (c) 3\/1313 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 404, 2090, 5068, 9338, 14900?\n\"Answer: 646*p**2 - 252*p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17941 + -17941.0158172. What is b rounded to 3 dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 88\/14 - (-1)\/(35\/(-10)). Let f be 1427\/z - 4\/(-24). What is the third derivative of -254*u**3 + f*u**3 - 4*u - 12*u**2 + 4*u wrt u?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -5 + 17. Suppose q - 5 = -g*q, -5*y - 5*q = -80. Solve y = -0*r + 3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -7\nAnswer: -3.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 to the power of 1\/5, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + d - 5*q + 30, 0 = -3*q + 12. Solve d = -5*u + 10*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 15*q + 40. Determine r(18).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3374592163 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 7 - 41 = -4*s, 5*r = -4*s + 103. Let x = -16 + r. Let y = -22 - -23. Calculate the least common multiple of x and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*t**2 - 11*t**2 - 13*t**2 + t**3)*(1 - 1 - 2*t**2) - 211 + 211 + 62*t**5.\nAnswer: 60*t**5 - 2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((189\/6)\/(-9))\/((441\/70)\/63).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*z = -11*z + 48 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 50.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(275) + 1)*2 + 1.\nAnswer: 3 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 243553 times -0.645\nAnswer: -157091.685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -105 - -11351\/108. What is the common denominator of l and 59\/16?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-4)*-1)\/((-18)\/(-132)*-1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q - 11. Suppose 3*s - 24 - 45 = 0. What is the remainder when (-56 + 65)\/(2 - (-7)\/(-5)) is divided by x(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 306738?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 12, -5, -2\/7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4491550 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -349742, -699478, -1049212, -1398944, -1748674?\nAnswer: -2098402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8869*t**3 + 18352*t**3 + 17540*t**3.\nAnswer: 44761*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 236 - 56 = 0. What is the lowest common multiple of 140 and c?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59 - 11 - (-16 - -26)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 + (-80)\/21)\/(4\/(-6)). Which is greater: w or -9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 255\/4 + -64. Let i = -1 - 0.2. Let r = -1.5 - i. Which is the closest to 0.1? (a) r (b) n (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15745 + -16583. Is a at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-1))\/(3 + -2). Let y(h) = -6*h + 7. Let s(d) = -5*d + 6. Let c(r) = -7*s(r) + 6*y(r). Let i be c(a). Solve -6 = -4*k + i for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) -569 (c) 1\/68 (d) 0.3 (e) -0.05 (f) -48\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -68*x - 11. Let t(c) = -23*c - 4. Let y(k) = 4*g(k) - 11*t(k). Let d(p) = -721*p. Let a(z) = -4*d(z) + 154*y(z). Let l(u) = 3*u**2. Give l(a(f)).\nAnswer: 5292*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54 + -60. What is the smallest value in -33, 1\/3, u?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -4*s + 13. Let f(r) = r**3 + 7*r**2 + 5*r - 2. Calculate f(s).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 5940*w + 229. Is z(19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 59 and 236.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8752935679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away -868171?\nAnswer: 868170.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of 0*t**5 + 1\/2*t**4 + 0 + 0*t**3 + 0*t**2 - 1\/5*t**6 + 5*t. Find the third derivative of l(i) wrt i.\nAnswer: -144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/2*(4 + 0). Suppose -4*b + 5*a = b + 15, 4*a - 15 = 3*b. What is the tens digit of k\/((-8)\/596 + b - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + (15 - (2 - 13)) + 6 + 1.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/1)\/((39130\/52)\/43).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 417779136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.01 + -2.01. Let h = m + 1.99999993. What is h rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1226*l - 1243*l - 238 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zyz when three letters picked without replacement from yyzzzy?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8)\/(-128))\/1)\/((-3)\/6).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 13, a: 6}. Give prob of picking 2 g.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -3 (c) -4\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -87 + 119. Suppose f - 5*f + s = 0. What is the greatest common factor of 24 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 275*l + 2*i + 24 = 273*l, l - 3*i = -24 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*105732584.\nAnswer: 422930336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 2.8, 5, 0.02?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -210. Calculate the smallest common multiple of 1 and r.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11062158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*b**3 + 112*b**3 + 921*b**3.\nAnswer: 1171*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, t: 3, f: 1, c: 2}. Give prob of sequence fc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 871971248 to the nearest integer?\nAnswer: 955","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.037 - 2.037. Which is the fourth smallest value? (a) -0.3 (b) 4\/3 (c) p (d) -0.076\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15458307, 15458317, 15458327, 15458337, 15458347, 15458357?\nAnswer: 15458367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 + 0.2. Let n = -0.05 - 0.35. Let i = 5 + -3. Which is the nearest to k? (a) i (b) n (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2835) - (-2*sqrt(2835) + sqrt(2835)))\/(sqrt(70)\/sqrt(90)) - (2*-2*(sqrt(320) + sqrt(320) + sqrt(320) + 1 - sqrt(320)))**2.\nAnswer: -20496 - 458*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fafpafppfffpppppa. Give prob of picking 3 p and 1 a.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -313 or 229289?\nAnswer: -313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2. Let l(a) = 30542*a**2 + 43*a. What is l(i(d))?\nAnswer: 30542*d**4 + 43*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16419.\nAnswer: 3, 13, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-17)\/204*32\/(-8)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 2*b**5\/35 - b**4\/7 - 2*b**3\/7 + 47. Find k such that f(k) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - 0) + 3 - 5. Let k be (2\/9)\/(m\/(-9)). Which is the smallest value? (a) -1\/9 (b) 2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 3 = -3*c, 5*c + 0*d = -2*d + 8. Factor 5*i**3 + 245 + 71*i + 32*i**c + 244*i + 43*i**2.\nAnswer: 5*(i + 1)*(i + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 1724*b + 2391. Let x(u) = -1729*u - 2396. Let m(i) = 7*d(i) + 6*x(i). What is the first derivative of m(n) wrt n?\nAnswer: 1694","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**4 - 32464*p**3 - 64723416*p**2 + 4650630320*p - 82087980100.\nAnswer: -4*(p - 35)**2*(p + 4093)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13.3 - 12.8. Which is the fourth biggest value? (a) 1 (b) t (c) -1\/4 (d) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (6 - (-13 - -18))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*c**2 - 2*c - 2*c**3 - c**2 + 0*c**4 + 0*c**3 + 8*c**2 - 18 + c**4 to the form d + s*c**4 + q*c + r*c**2 + j*c**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5592 is divided by 1856?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 4*u**2 + 3. Let k be f(-4). Let z = -96 - -98. Solve 0 = z*r - 2*i + 2, -2*r + k*r - 9 = -4*i for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*t = -q - 3, q = t + 6. Suppose -2*h - q*d = -h - 17, -d = -h + 1. Solve 4*w + 6 = h*a, 4*w + 2*a + a + 22 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-8)*(-25)\/(-75)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**2 - 3*d - 3. Let h be n(-1). What is the remainder when h - (-423)\/15 - (-2)\/(-10) is divided by (-69)\/(-9) - 2\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 933937172?\nAnswer: 2, 7, 19, 23, 127, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3489.689135 - 0.07922.\nAnswer: 3489.609915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 521729*f**3 - 2*f**2 - 2109308*f - 1?\nAnswer: 3130374*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - q + 4. Let w be r(0). Let y be w*(-1)\/(-3)*3. Let g = 301285 - 301284. Solve z = g - y for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -534, 0.26, -0.2 in ascending order.\nAnswer: -534, -0.2, 0.26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1729 and 2793?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4065727079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 4*p**4 + 5*p**3 - 55*p**2 - 110*p - 24 = 0.\nAnswer: -3, -2, -1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4147, 16985, 38373, 68305, 106775, 153777, 209305, 273353?\n\"Answer: -r**3 + 4281*r**2 + 2*r - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + -26. Let l = 26.99953 + w. Round l to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6625, -6704, -6905, -7288, -7913?\nAnswer: -8840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 - -39. Suppose 0 = -y*z + 4*z - 18. Which is the nearest to 0? (a) 1\/5 (b) z (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1248562l to millilitres.\nAnswer: 124.8562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-58)\/5)\/((-2)\/5). Determine b, given that -j + 5*b - 15*b**2 + 29 = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3)\/(-2) - (-265)\/1166 and -109\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 916, -1, -5, -21 in decreasing order.\nAnswer: 916, 4, -1, -4, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5484807751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of -4 + -2*(-19083 + -10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -116247 + 67247. Round n to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 - c**2 + 4*c**2)*(3 + 2*c - 3)*(3 + 1 + 4).\nAnswer: 32*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - 17. Let y(m) = 6 + c*m**3 - 3*m + 4*m**2 + 0*m**3 + m**3. Determine y(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 9018846.\nAnswer: -1803769.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 31503355*n**4 + 47378548 wrt n.\nAnswer: 126013420*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -512 = 10*b - 2*b. Let m = -166 + 305. Let h = m + b. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1671765, 3343530, 5015313, 6687120, 8358957?\nAnswer: 10030830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 0.1 (b) -1.03 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -6*a - 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1566 = 281*z + 1419 - 175 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minus 393?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/3)\/j)\/j)**(-5\/2) assuming j is positive.\nAnswer: j**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 304161 and 57993.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(847) + -3 + ((-1*sqrt(7)*6 - sqrt(7) - sqrt(7)) + (sqrt(567) - (2 + sqrt(567))))**2.\nAnswer: 65*sqrt(7) + 449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 246 + 228 = 0. Solve -c + 6 = m*b - 5, 5*b - 10 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2344\/1758 + 10\/6. Solve 2*b = -2*l + 10, h*l - b = -0*l + 11 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16876 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 360.498 + 0.502. Let i = c + -359.8. Let o = -0.1 + 0.3. What is the second biggest value in o, -1, i?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*n - 6 - 16. Let w(o) = 3*o**2 + 5*o - 9. Let c(h) = 16*h**2 + 27*h - 47. Let g(s) = n*c(s) - 11*w(s). Give g(6).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((118\/(-66493)*-49)\/(12\/69))\/(3\/(-666)).\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in nine tenths of a century?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 + -29. Let w(q) = -q**2 - q + 14. Let u be w(0). Let s = -10 + u. Solve -s*v - 12 = -y*l - 0*v, 1 = -v for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-7 - 1) - 2 - -7?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w**2 - 4*w - 2. Let j be t(2). Let f = 163 + -166. Which is the nearest to 0? (a) f (b) j (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 - 34*n + 36.\nAnswer: -2*(n - 1)*(n + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3203.\nAnswer: 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -741*c**2 + 2199*c**2 - 739*c**2 - 740*c**2.\nAnswer: -21*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31 - (-56 - -16)) + (3 - 16) + (-1116)\/(-278)?\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 3, -6, -0.5, 92?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.5 + -3. Let p be (-2)\/5 + (-7)\/35. What is the smallest value in p, q, 4\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226 is divided by 116.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -4*c**2 - 2459*c - 350616. Give h(-390).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 8:52 AM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 11*o**2 - 24*o + 29. What is u(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.69382 rounded to two dps?\nAnswer: 0.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.4192 + 11.438. What is i rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from hvov?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 369 = -372. List the prime factors of j.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1830874085.\nAnswer: 5, 366174817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -129835 divided by -5\nAnswer: 25967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-411)\/(-6) + (-2)\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 7*o**3 + 5*o**2 - 3*o - 3. Let w(n) = -n**3 + n + 1. Suppose 5*f = -80 + 65. Calculate f*w(j) - c(j).\nAnswer: -4*j**3 - 5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/5*(-20)\/6. Let g = -1 + i. What is the greatest common factor of g and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -474*j**2 - 83*j + 5. What is w(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -43 + (213 - 183).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3068.4 - 4\nAnswer: 3064.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 4*n + 12, -i - 5*n + 4 = 2*i. Let c be i\/(-8)*(3 + -2). Determine h, given that 0 + 0*h - c*h**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38251 + 13710. Does 42 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1939 is divided by 80?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3541 is divided by 41?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hxnhsxxxxxxnhhx. What is prob of sequence xnh?\nAnswer: 32\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22272 (base 11) to base 9.\nAnswer: 48230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -25*-433\nAnswer: 10825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-5))\/((-8)\/(-50)). Let b = -7\/3 - a. Suppose 48*h + 15 = 53*h. Sort h, 4, b.\nAnswer: b, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 4. Let h(r) = 145*r**2 + 18. Give h(x) + 6*w(x).\nAnswer: 139*x**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*g = -105*g - 46860. Is 12 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 16. Suppose 61 - w = 2*o. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 73698852 and 852.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 18018, 18035, 18062, 18105, 18170, 18263, 18390?\n\"Answer: c**3 - c**2 + 13*c + 18005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 3626?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 7:23 PM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 51853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -211 + 47. Let a be 2 - (20\/(-7) - -2)*7. Suppose a*d + 210 = 3*d. Is d greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.056 + 5.056. Let l = 11.21 + -0.21. Which is the third smallest value? (a) i (b) l (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1475*r**3 + 763*r**2 wrt r?\nAnswer: 8850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 66) + (22 + -44 - (10 - 44))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*y - 10*h + 13*h, 3*y - 2*h = 20. Let d be 73\/15 + 2\/(-3). Is d at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/((-580)\/(-12)))\/(6\/4)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -51.63 - -667.73. Let z = 634 - j. Round z to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -131133 (base 5) to base 13\nAnswer: -2477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -59067 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qz when two letters picked without replacement from xazazzzaqsx.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 62*s + 51. Let z(m) = 115*m + 101. Let i(j) = -11*k(j) + 6*z(j). What is i(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 15*l = -12. Suppose -2*y - 2*y + 20 = 0, f + y = -1. Let m(n) = 5*n - 4. Let t(s) = s - 1. Let z(x) = f*t(x) + m(x). What is z(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/12*30\/3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -129196*m + 471. Is f(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 4 (c) 3\/4 (d) 1\/4 (e) 14\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**4 - 1701170*r**3 + 144549188045*r**2 + 25480192306800*r + 1121708411208000 = 0. Calculate r.\nAnswer: -88, 170205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 40, 90, 150, 214, 276, 330, 370?\nAnswer: 390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) - (sqrt(504) + sqrt(14))\/sqrt(2) - (0 + sqrt(7))*-2.\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 3497540?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 6*m - 3. Let i be -5 - 5 - -7 - -9. Determine g(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v. Let o be f(1). Solve -5*d - 5*b = 0, -6 = 2*d + b - o for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + (sqrt(119) + sqrt(119)*1 + sqrt(119) - sqrt(119)))*6 + 2*sqrt(119)*5)\/((sqrt(7056)*-1)\/sqrt(7)).\nAnswer: -7*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37399744.\nAnswer: 2, 313, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 0. Which is the nearest to x? (a) 1\/4 (b) 0.3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.119 plus 3.027903546?\nAnswer: 3.146903546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**5\/3 + k**4 - k**3\/3 - k**2 - k\/3 = 0. What is k?\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(81) - (sqrt(9) + sqrt(9) + sqrt(36)\/(sqrt(24)\/sqrt(6))))\/((2*sqrt(21)*-4)\/(-6*sqrt(14)\/sqrt(2))).\nAnswer: 45*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 8.6. Sort 3, -17, -0.1, h.\nAnswer: -17, -0.1, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/8994 and 3\/11992.\nAnswer: 35976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 21. Suppose -r + 0*r = 0. Suppose r*k = 2*k. Let n be a(k). What is the highest common factor of 231 and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**2 - 4*c**2 + 3*c**2 + (2 + 1 - 5)*(40 - 40 - 3*c + 6*c**2).\nAnswer: -13*c**2 + 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 213181 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 677 + 409. Let b(h) = m*h + h**2 - 1086*h. Let a(j) = -2*j. What is a(b(c))?\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3\/4 + 63*m**2\/2 - 117*m\/4 - 123\/2.\nAnswer: -3*(m - 41)*(m - 2)*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**2\/4 + 419316435*k - 58608757553703075 = 0. Calculate k.\nAnswer: 279544290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y*y**(-1))\/y**(2\/13))\/((y*y**(-2\/5))\/y)**(-26))**1)**(1\/9) assuming y is positive.\nAnswer: y**(-69\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -42 (base 8) to base 10\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 2 = 2*t, 10*t = -5*u + 12*t + 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 166865150 to the power of 1\/2, to the nearest integer?\nAnswer: 12918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -1403*o + 149. What is the hundreds digit of r(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**5\/3 + 16*w**4\/3 - 74*w**3\/3 + 104*w**2\/3 - 15*w = 0.\nAnswer: 0, 1, 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29630 - 31781.6. Round x to the nearest ten.\nAnswer: -2150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1726314096?\nAnswer: 2, 3, 13, 17, 109, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j**3 - 478*j + 2*j**2 + 478*j + 7 + j**3 to the form f + c*j**2 + d*j**3 + q*j and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -38, 1.9, 3, -4?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0*c\/((c**(3\/4)\/c)\/c))\/((c\/c**3)\/c*c**(1\/3))*((c\/(c\/(c**(-8)\/c)))\/(c\/(c**(-1\/3)*c)))**9 assuming c is positive.\nAnswer: c**(-949\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1459 or -1380?\nAnswer: -1459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 13*k + 2. Let p be x(0). Suppose -871 = -p*b - 5*i, 4*b - 1787 = -0*i + 5*i. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3*(-3*2*sqrt(147) - sqrt(147))*-6)**2.\nAnswer: 14002632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24107 divided by -18.\nAnswer: 24107\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 239, 512, 825, 1178, 1571?\n\"Answer: 20*r**2 + 213*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 30, 28, 26, 24, 22, 20?\n\"Answer: -2*f + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 122309475*r**3 + 608594260*r**2.\nAnswer: 733856850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*t**2 - 395*t**2 + 44*t**2 - 273*t**2 + (2*t + 0*t + 0*t)*(0*t - 6*t + 3*t) in the form z*t**2 + b + v*t and give z.\nAnswer: -648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of 0*k - 2*k**2 + 0 + 1\/8*k**4 + 1\/60*k**5 - 5\/6*k**3. Give c(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27019347 divided by 159\nAnswer: -169933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 13, -4, 5, 6\/193, -2?\nAnswer: 6\/193","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**2 + h - 11. Let w be r(3). Suppose 0*x = -5*x - 3*d + 25, -2*x - 3*d + w = 0. Solve -3 - 2 = x*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, -4, -0.4, -16465?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/2 of a hour?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -43120.5002 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 36995*l**2. Let q(u) = 2*u**2. Give v(q(z)).\nAnswer: 147980*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 4 + 5)*(b - b + 2*b**2) + 2*b**2 - 5*b**2 + b**2 + 161 - 161 - 27*b**2)*(-3*b - 2*b + 3*b) in the form m*b + j*b**2 + n*b**3 + k and give n.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4 = 5*a, -t + 4*a = 2*t + 40. Let l(u) = -6*u - 27. Let x be l(-7). Let g be t\/(-20) - (-599994)\/x. What is g rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 6*w - 10. Give q(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38348.3 - 38348. Let p = -3 + 4. Let d = 3 + -2. Which is the closest to p? (a) f (b) d (c) -1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 12:53 PM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2684517*t**2 - 1182297 wrt t.\nAnswer: -5369034*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 h, and 1 q when four letters picked without replacement from ljglggqqhghgqjjg?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -399 + 148. Let c = g - -248.93. Let d = -2.0700101 - c. Round d to six decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/(t\/((t\/t**(-29\/2))\/t*t)))\/t)\/((t*t\/(((t\/t**(-3\/25))\/t)\/t)*t*t*t)\/t))\/(t**(-1\/50)\/t*t*t**28) assuming t is positive.\nAnswer: t**(-434\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -0*c - 64. Which is bigger: c or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2954, 11817, 26590, 47273, 73866, 106369, 144782?\n\"Answer: 2955*j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 18*v**2 + 18*v + 18. Let y(x) = -x**3 - x**2. Let a(o) = p(o) + 2*y(o). Let r be a(17). What is the highest common divisor of 7 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q - 1. Let g(h) = 29*h + 20. Let z(v) = 2*g(v) - 6*j(v). Find the first derivative of z(u) wrt u.\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 216 (base 8) in base 16?\nAnswer: 8e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 510*y - 24961. What is z(-56)?\nAnswer: 463","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290680?\nAnswer: 2, 5, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 f when four letters picked without replacement from eeeccsfgeffefsefyfe.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*m - h = 59*m - 7, -5*m = -2*h - 31 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 1:35 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -66 + 171. Suppose 7*z - 21 = c. Calculate the least common multiple of z and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by -24.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.24 + 0.24. What is the smallest value in 1, g, -3\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -51 - (-274 - -207).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of 111*s**4\/4 - 115*s + 2. Find the first derivative of z(h) wrt h.\nAnswer: 333*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6539722 - 4209722. What is x rounded to the nearest 100000?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 - 15 + 9*l + (-7 + 1 + 0)*(-l + l - 4*l) as h*l + v and give h.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 262 + -262.00000396. What is g rounded to 7 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (102 - 159 + 84)*(0 + 0 - 2*x) - 61 + 61 + 25*x.\nAnswer: -29*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1.7478 * -0.5\nAnswer: -0.8739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1606.949 + 1607. Sort p, 3, 0, 1\/2 in descending order.\nAnswer: 3, 1\/2, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -5. Which is smaller: y or 2\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21392539?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 51808083?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-seven fifths of a litre?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 4\/3, 5, 0.5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 664.\nAnswer: 668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (p**3 + 4*p**3 - 3*p**3)*(p + 0 + 0) - p**3 + p**4 + p**3 - p**3 - p**4 + p**3 - 12 + 19*p**4 + 12 as o + b*p**3 + m*p + s*p**2 + h*p**4 and give h.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = -5*w - 4*g, 41*w - 37*w = 4*g + 104 - 40 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 - 1. What is the smallest common multiple of d and 2?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqqsqsx. Give prob of sequence ssx.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -b**3\/6 + 9*b. Let w(h) = -18*h**2. Determine w(s(g)).\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 32415 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 o, and 1 l when four letters picked without replacement from {n: 1, z: 2, l: 4, v: 4, t: 3, o: 3}?\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/8460 and 28\/35955.\nAnswer: 143820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -5*a**2. Let t(y) = -30*y**2 - 2*y + 1. Let f(k) = -115*k**2 - 9*k + 4. Let b(p) = -2*f(p) + 9*t(p). Calculate b(d(x)).\nAnswer: -1000*x**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1502225 is divided by 118?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(-39)*(-36)\/84\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**3 + 2 - 2*t - 17 + 4 - 11*t**4 + 9 to the form c*t + h*t**2 + u*t**3 + o + q*t**4 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -580700 rounded to the nearest 10000?\nAnswer: -580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-6))\/(301\/(-129))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201*g - 199*g + 399*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 + 0*z - 20 + 9*z - 25.\nAnswer: 9*z - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/7137727 and -61\/6?\nAnswer: 42826362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**2 + 294*j + 864 = 0. Calculate j.\nAnswer: -144, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 44034223?\nAnswer: 44034221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 1 - 2 - (-32 + 34)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26.4 - -23.4. Which is the third smallest value? (a) -0.2 (b) s (c) -0.4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1790455421 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51\/2 + 259\/10. Is 3\/7 <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -191*z - 131*z - 12558 for z.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (47\/(-141))\/(-1*1)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -17523 (b) -2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**4\/7 + 68*b**3\/7 + 456*b**2\/7 + 944*b\/7 + 640\/7.\nAnswer: -2*(b - 40)*(b + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/163416 and -119\/36?\nAnswer: 490248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -273*h**2 + 501*h**2 - 83*h - 307*h**2 as n + l*h + x*h**2 and give x.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/2 + (-36)\/8. Let v be (o\/10)\/(2\/(-12)). Suppose -51*k = -42*k - 18. Solve -4*d = -v*m + 2, 0*d = k*m - d + 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36855326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from jjzjzojjjj?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 f when two letters picked without replacement from bryrbf.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of c**5\/50 + 463*c**4\/120 + 667*c**3\/3 - 841*c**2\/5 - 448*c. Determine x so that n(x) = 0.\nAnswer: -58, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2559188?\nAnswer: 2, 43, 14879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/7)*h)\/h**1*h**(-1\/4)*h*h*h**(5\/3)*h assuming h is positive.\nAnswer: h**(383\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 70703837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -k + 24. Let p = -19 + k. Calculate the remainder when 6 + ((-9)\/(-3))\/3 is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 11.03. Let v = 0.69 + -0.7. Let b = v + w. What is b rounded to three dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224\/42*(-45)\/440?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 2*a + 4. Suppose -v = -d - a*d - 41, 4*v - 3*d = 79. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -484164*d**6 + 4*d**2 + 92*d - 40 wrt d.\nAnswer: -58099680*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8347755.\nAnswer: 3, 5, 13, 37, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*b + 274*b + 162*b - 62*b + 114*b.\nAnswer: 537*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*p - 16 - 8, 0 = -p - 5*i + 24. Suppose p*s + 14 = 16*s. Sort -44, 4, 1, s in descending order.\nAnswer: 4, s, 1, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 + 26 - (3 - 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = g - 3*g + 14, -5*g + 10 = 5*z. Factor 12*t**3 + 6 + 2877*t**g - 9*t - 2877*t**4 - 3*t**5 - 6*t**2.\nAnswer: -3*(t - 1)**3*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -80, -161, -246, -335, -428?\n\"Answer: -2*g**2 - 75*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0011 + 1.0011. Which is bigger: 2\/21 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 4:59 AM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**3 - 5*j**3 - 356464 + 356464.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -81*p - 2185. Give f(-27).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10524 is divided by 1948?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9959.07407 - -9959. What is i rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/35*(-4)\/(-6). What is the third smallest value in y, 0.5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117597242.\nAnswer: 2, 7, 2579, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*o = 50 + 75 - 25. Let v(g) = -g + 5. Let r be v(0). Solve 5*d - 15 = -o*w + 6, -5*w = r for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a = -3*a + 3*s + 7, 2*a + s + 5 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 197420 - 8274647?\nAnswer: -8077227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 139.25 and 0.\nAnswer: 139.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 37, 100, 227, 430, 721, 1112, 1615?\n\"Answer: 2*f**3 + 20*f**2 - 11*f + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 8*j**2 - j - 14. Determine p(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 9*o**2 + 9*o + 13. Let j be a(10). Suppose 0 = 4*k + z + 3*z - 28, -4*k - j*z = -25. Suppose k*v - 681 = 467. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*c + 292944 + 155116. Suppose 51*t - 18091 - c = 0. What is the hundreds digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 61 = n, 2*n + 4*w = -520 + 660. What is the third smallest value in 3, n, 9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5738984 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: List the prime factors of 400863.\nAnswer: 3, 47, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 868304?\nAnswer: 2, 54269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 38*t - 40*t. Suppose -4*y + 36 = 4*q, -q - 8 = -t*y - 2. Suppose 0*i = -5*i + y, 5*z - 7792 = 3*i. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -0*d + 105. Let q = -31 + 45. What is the greatest common divisor of q and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d + 7. Let v be o(-8). Let a be v\/(-3) - 10\/(-6). Suppose 0 = l - a - 5. Is l a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -241 - -1689\/7. Let d be (-13)\/(-3) - (-2)\/3. Let r = -56 + 54. Which is the second biggest value? (a) i (b) r (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, -3, 2 in descending order.\nAnswer: 2, 4\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 3*d, -d + 0*d = 4*b - 8. Let a = 1 + b. Let s = -2 + a. Solve 0 = -0*k - s*k - 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 + -26. Let h(y) = 9*y**3 + 1 + 13*y**3 - y - y**2 - 4*y**3. Let a be h(1). Calculate the highest common divisor of l and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 319, 1119, 2261, 3727, 5499, 7559?\nAnswer: 9889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -4, -802, -62?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3199 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78340*y**3 - 4*y + 4*y - 158271*y**3 + 79925*y**3 + 3*y - 3*y.\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3545 and 975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4a - 37286?\nAnswer: -37238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 2*o**2 + 4*o - 10. Let h be v(3). Suppose h*m - 15*m = 20. Let y = 5 + -3. What is the second smallest value in -1, 0, y, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/6 + (-4)\/6. Let o be 2\/(-12) - u\/2. Which is bigger: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5055 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2868397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -133013310231 (base 4) in base 15?\nAnswer: -ab2509","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1677 - 1669.59. Let m = t - 7.5. What is the closest to 0.1 in m, -2\/7, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 160656485 and 102235945.\nAnswer: 1124595395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 2 + 45945*z**3 - 45928*z**3 + 2.\nAnswer: 17*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272*w - 4 = 274*w, -w = 4*g - 111326. Round g to the nearest 100.\nAnswer: 27800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23264 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -y - 6, 29*y + j - 26 = 26*y. Solve 3*k + 7*q + 15 = 4*q, 5*k = -2*q - y for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000069175 rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 0 - -1*9. Let f(s) = -11*s + 7*s + 0 + a + 5*s. Suppose 2*j - 2*l = -20, -2*j - 5*l = -0*j + 6. Give f(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1393769 + 25*r**3 - 1393769.\nAnswer: 25*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*a + 121 = -66*a + 49 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/((-152)\/16)*100\/(-280).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (20\/(-16))\/((-1)\/(-28)). Let i be (42\/y)\/(4\/(-10)). Suppose 3*f = i*m - 33, 0*m + 5*f = -4*m + 62. What are the prime factors of m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**3 - 2 + 0*r**3 - 2 + 8*r + 45*r - 2*r as s*r**2 + q*r**3 + x + w*r and give w.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/264 and -2\/5449411.\nAnswer: 130785864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**(-6)*l**(-6\/5)*l)\/((l\/(l*l\/(l**(-3\/7)\/l)))\/(l*((l\/l**(-6\/5))\/l*l*l)\/l)))**26 assuming l is positive.\nAnswer: l**(260\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 31*109\/6758*-24?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 1500*n = -1502*n + 6, -5*g = n + 15 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 25 = 4*t. Suppose 2*q - 33 = -5*a, -4*q + 6*q - a - 3 = 0. Suppose -m + q = 2. Put m, -3, t in increasing order.\nAnswer: -3, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of w**5\/180 - w**4\/18 + 2*w**3\/9 + 71*w**2\/2 - 16*w + 1. Let y(z) be the first derivative of v(z). Find k such that y(k) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 4) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -709, -1430, -2153, -2878, -3605, -4334?\n\"Answer: -f**2 - 718*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -8*i**3\/7 + 2428*i**2\/7 + 8632*i\/7 - 11052\/7 = 0.\nAnswer: -9\/2, 1, 307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 12130971.\nAnswer: 4\/12130971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.36 + 1.36. Let o = -1.1 + m. Let v(g) = -g**3 + 4*g**2 - 1. Let y be v(4). Which is the nearest to -2\/7? (a) o (b) y (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/(-4840)*16)\/((-2)\/120)?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55335476 and 46040?\nAnswer: 4604","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 195103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -2. Let d be (1\/3)\/(20\/660). Suppose u - d = 4*h, -4*h + f = -u - 6*h. Let i(w) = 3*w**3. What is i(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - d**3)*(-3*d + 3*d - d) + 2*d**4 - 3*d**2 + 3*d**2 - 1841*d**4 + 14934*d - 14934*d + d**4 + d**4 + 0*d**4.\nAnswer: -1836*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*n + 4*n - n)*(5*n - 7*n - 4*n) - n**2 + 3*n**2 - 4*n**2)*(-n + n - n**3).\nAnswer: -10*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 80\/(-14)*(-35)\/10. Calculate the greatest common divisor of 220 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 5.88. Round m to 1 decimal place.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s + 27. Let a be d(12). Suppose 4*q = q + 3*o + 3, 0 = -5*q - 5*o + 35. Solve -q*p - 7*n = -a*n, -2*p = -2*n for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320*p**4 + 342800*p**3 + 770220*p**2 + 577395*p + 144315 = 0.\nAnswer: -1069, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1224 (base 11) to base 12\nAnswer: b13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**2 + 3*s**2 + 0*s**2)*(895 + 3529 + 3750 + 2*s).\nAnswer: -2*s**3 - 8174*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n - 13. Let u(c) = 8*c + 39. What is -17*q(p) - 6*u(p)?\nAnswer: 3*p - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -40 + 49*h + 151 - 11*h. List the prime factors of n(6).\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1449*b + 1520*b - 303667 = 0. What is the remainder when b is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -39?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + i = -6*t - 16, -5*t + 4*i - 21 = 0. Let c(x) = -x**3 - 5*x**2 + x + 7. What are the prime factors of c(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.05 (b) 0.7 (c) 0.5 (d) -0.03 (e) -8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2057289 in 43, -5, -2\/11, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*w - 1, -7*w = -4*h - 11*w + 4. Solve 2*x - h = -5*s, 0 = -x + 2*s + 1 - 5 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 465 + -7 + 341\/(-31) + -6. Determine q, given that -462*q**2 - 3\/7*q**5 - 81\/7*q**4 - w*q + 1029 - 114*q**3 = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6329 - -841740\/133. Calculate the common denominator of (10\/(-152))\/((-4)\/(-112)*-4) and w.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((4 + 1 + sqrt(171))**2 + 2 + 2 + (-1 + sqrt(171))**2*2).\nAnswer: 108*sqrt(19) + 3264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t + 1. Let f be y(3). Let x be (-2)\/(-1) + f\/(-4). Suppose -4*n - 44 = 4*i, -27 = 3*n + x*i + 4. Which is greater: -12 or n?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 9, -249 in decreasing order.\nAnswer: 9, 0, -4, -249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 4*d**2 - 3*d - 7. Let p be m(5). Suppose -p*q = s - q - 10, 0 = 3*s + 2*q - 10. What is the units digit of (-55)\/(-5) + s + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23518404 divided by -28?\nAnswer: 839943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4972, -10053, -15130, -20203, -25272?\n\"Answer: 2*d**2 - 5087*d + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of m**6\/15 + m**5\/30 - m**4\/12 + m**3\/6 - 8*m**2. Let d be b(1). Solve 5*o = 2*o - d for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 - 3) + 3 + -609. Find the common denominator of (7 - 306\/42) + q\/(-28) and 3\/8*(-44 + 6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*q - 276 + 49 = -t, -4*t - t + 71 = -4*q for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 716, 737, 758, 779, 800, 821?\nAnswer: 842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95614892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -d35?\nAnswer: d34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (57 - 0)\/((-3078)\/(-228) - 14)\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 621 is divided by 179?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*k = 45*k - 1405 + 6866 for k.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 268 = 3*t, 2 = 3*t + 14. Let x = 56 - z. Let m be -9*(-4)\/6*(x + -1). Which is the second smallest value? (a) m (b) -2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**31*s*s\/s**(-7))\/(s*s\/s**(1\/27)*s**(-1\/2)) assuming s is positive.\nAnswer: s**(2135\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7087*g = -7592*g - 46965 for g.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20614427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2 = -0. Let w = 4 + t. Let k = -11 - -123\/11. Which is the nearest to 1? (a) 2\/3 (b) w (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 607 - 1101. Let a = g - -494. Suppose 5*f = -u + 10, -2*u + u + 3*f - 6 = 0. Solve a = j - u*j - 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuz. Give prob of sequence uuu.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4631599380?\nAnswer: 2, 3, 5, 3067, 25169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 5. Suppose -j = -2*v + 5 + 22, -n*j = v - 41. Let d = 112 + -65. What is the remainder when d is divided by v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/9624571 and -47\/367818?\nAnswer: 57747426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24048 is divided by 94?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(3\/4)\/(q\/(q*q**(-1\/11)))*q*q**(-1\/2)*q*q**(5\/6) assuming q is positive.\nAnswer: q**(395\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4 + 700*b**3 - 148902*b**2 + 9240700*b - 174266401.\nAnswer: -(b - 307)**2*(b - 43)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/91 - -165\/1547. What is the nearest to 2 in -2\/3, -0.5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 38342, 37815, 37290, 36767?\n\"Answer: m**2 - 530*m + 38871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10322622 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 121 + 2. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f**2 - f + 18. Let o be w(5). Let c be 4*(-1 - o\/60). Let t be 15\/4 - 1\/(-4). What is the third smallest value in c, 4\/3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in six fifths of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115, -182, -247, -310, -371?\nAnswer: -430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 8. Let k = -74930 + 74942. Calculate the remainder when k is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1251*c**3 - 650*c + 2939*c + 5*c**3 wrt c.\nAnswer: 7536*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/8)\/((-51)\/8)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 51, 197, 439, 777, 1211?\n\"Answer: 48*q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-3)\/j)\/j)**44*j\/(j\/(j\/(j**4\/j)))*j**(4\/3))**(-1\/11) assuming j is positive.\nAnswer: j**(662\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**2 - 5*l**2 + 0*l**2 to w*l + y + r*l**2 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of m**5\/60 - m**4\/3 - 7*m**3\/2 + 5*m**2. Let v be l(12). Calculate the greatest common factor of v and 216.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 238 + -443. Let d be (0 - 1)*123\/n. Which is the nearest to 2\/3? (a) 3 (b) 0 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 u when two letters picked without replacement from {i: 3, f: 2, s: 2, u: 2}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -503.7624 and 25.\nAnswer: -12594.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351 is divided by 55?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d + 12. Let a be j(-9). Suppose 1 = -x + v, 0 = -7*x + a*x + v + 2. Let n be x\/(-3) + 3 - 3. What is the nearest to 0.1 in 0.3, n, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 7*h + 44600003 = -3*w, 4*h + 5*w = 89199995. What is h rounded to the nearest 1000000?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -18*l - 30. Let d be p(-19). Let v = d - 101. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171621.274 rounded to the nearest one thousand?\nAnswer: 172000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 47, 23, -21, -91, -193, -333?\n\"Answer: -p**3 - 4*p**2 - 5*p + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -938 minus 11784?\nAnswer: -12722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3615368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 163\/174 - -2321\/1392. What is the common denominator of c and -71\/60?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 5*s - 55 = 0, 297537 - 297558 = -3*b - s for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1818 and 6354.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k. Let z(o) be the third derivative of -49*o + 0*o**3 + 0 + 7\/3*o**4 + o**2. Determine z(g(c)).\nAnswer: -56*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 65*l**2 + 95*l + 30.\nAnswer: 5*(l + 1)*(13*l + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -28, -106, -238, -424, -664, -958?\n\"Answer: -27*o**2 + 3*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 13*m - z + 139 = 0, -2*m + 78 = -3*z. Calculate the remainder when m is divided by 41.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 12) to base 14\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/(-30)*346*2*6. Let p = c - -22. Let x = -35 - p. Is x 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 6:42 PM and 4:00 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 58583136 divided by -263888?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + s + 67, -2*s - 169 = -z - 4*z. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w + 4*w. Let d = w - 0. Suppose -2*r + x + 1000 = -d*r, -2*x = 5*r - 2500. What is r rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 at most as big as 49718.75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**5 + 6*x**4 - 2*x**2 + 3*x - 4. Let o(j) = -6*j**4 - j**3 + j**2 - 4*j + 5. Let v(t) = 4*o(t) + 5*u(t). Find n, given that v(n) = 0.\nAnswer: -1, -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -16*y + 14*y. What are the prime factors of y*(1\/(-6) + 2086\/(-84))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -21*f - 14. Let i(a) = -21*a - 14. Let p(m) = -6*i(m) + 7*s(m). Does 13 divide p(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 532.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhqhmqhhqqhtnthhnhn. Give prob of sequence hq.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.512695mm to micrometers.\nAnswer: 512.695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + 1*(3 - 4). Suppose -2*q = f - y*f - 2, -23 = -5*q - 2*f. Is q*12 - (0 + 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-52)\/10)*14160\/(-5664)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2353523 + -34?\nAnswer: -2353557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**4 + 0*k**4 + 3*k**4)*(4*k - 4*k - k).\nAnswer: k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 57090, 57451, 57812, 58173?\n\"Answer: 361*y + 56729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 307710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/7)\/s)\/s)\/(s\/((s*s**(-6))\/s*s)) assuming s is positive.\nAnswer: s**(-54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 2*t - 9. Let l(s) = 3*s**3 + 6*s**2 - 14*s - 362. Determine l(w) - 6*n(w).\nAnswer: 3*w**3 - 2*w - 308","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 25, 26, 27, 28, 29?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l**2*v**3 + 26*l**2*v**2 - 22031*l*v**3 + 137*l*v**2 + v**4 - v**3 - 23*v wrt v.\nAnswer: 6*l**2 - 132186*l + 24*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 513557*d**2*w**3 + 3*d**2 - 2333*d*w + d wrt w.\nAnswer: 3081342*d**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44605?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -511?\nAnswer: -508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389 is divided by 55.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110211033003 + -211?\nAnswer: -110211033220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 17, 22, 27, 32, 37?\n\"Answer: 5*u + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -5*m + 164, -m - 495 = 8*h - 543 for m.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -580, -2313, -5196, -9229?\nAnswer: -14412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51\/28 - -4\/7. Let k = 141 - 201. Let z = -117\/2 - k. What is the third smallest value in z, c, 0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -555*r + 276*r + 3 = -278*r. Let z(u) be the second derivative of -8*u**2 + 0*u**r - u + 0 - 7\/6*u**4. What is the derivative of z(d) wrt d?\nAnswer: -28*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*j - 16 = 0, 3*j - 11 = 5*x + 34. Let f be 3*5*(-4)\/x. Let u(b) = -b**2 + 7*b - 4. Let q be u(6). Sort q, f, 0 in ascending order.\nAnswer: 0, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/30 - 3\/(-15). Solve -x - 11 = -5*m + 12, d = -m + 4*x - 3 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -91, 0, 20, 2 in decreasing order.\nAnswer: 20, 2, 0, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 700.6971um in centimeters?\nAnswer: 0.07006971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2174 - 2135. Let z(b) = -b + 38. Determine z(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-5)\/(250\/105))\/(8\/(-5)) and 9\/7.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3788 + 10\/(-5))*2\/(-2). Let i = -30283\/8 + f. Calculate the common denominator of i and -97\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n - 195 = 13*n. List the prime factors of n.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/35*58050\/7740.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*v + 8*v + 11*v - 61*v**2 - 32*v + 13*v**2 to the form s*v**2 + l + z*v and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(60\/(-18))\/(-5)*(-2)\/16.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r**5 - 4462655*r**4 - 13388010*r**3 - 20*r**2 + 17850680*r = 0 for r.\nAnswer: -2, 0, 1, 892534","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 276848 and 42592?\nAnswer: 553696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 60*w**2 + 10 - w - 55*w**2 - 4. Let p(v) = 6*v**2 - v + 8. Let h(l) = -5*o(l) + 4*p(l). Factor h(n).\nAnswer: -(n - 2)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-30)\/(40\/(-8)) - (-4 + 8). Let w(s) be the second derivative of 29*s + 5\/2*s**3 + 0*s**m + 0. Let q(h) = h. Give q(w(z)).\nAnswer: 15*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 2 - 2)*(-313*j**2 - 179*j**2 - 92*j**2).\nAnswer: -584*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 104055, 104041, 104027, 104013?\n\"Answer: -14*j + 104069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -5 + 29. Let r = o + 5. Calculate the remainder when r is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-416)\/715 + 8\/20.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**32*c*c*c\/(c**(-23\/5)\/c*c))\/((c*c\/c**(-5\/11))\/c*c*c*c)**(-1\/17) assuming c is positive.\nAnswer: c**(37271\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 649061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50952 and 957?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.5 - 22.5. Let b = -0.174 + 0.374. Sort b, j, -3.\nAnswer: j, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -355 + 372. Suppose -14*s - j*s + 62 = 0. Solve 0 = -s*l + 3*i - 3, 4*l = 5*i - 4 + 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*p = 0. Let k be (1 + 0)*2\/22. Which is the biggest value? (a) k (b) p (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000212986246 to 6 decimal places.\nAnswer: -0.000213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 133348*h - 6*h**3 + 0 - 133358*h + 4 as o*h + d*h**2 + v*h**3 + r and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - i = 13 - 56, 0 = 5*q - i - 221. Calculate the highest common factor of 110 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 29. Let c = -11.96 - d. Let y = 0.935 + 0.065. What is the nearest to c in -0.1, y, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4986 - -14960\/3. Sort m, 3\/4, -26\/3 in increasing order.\nAnswer: -26\/3, m, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -x**6\/270 + x**5\/90 + x**4\/108 - x**3\/27 - 4*x. Determine g so that c(g) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -3, -945, 1, 136 in decreasing order.\nAnswer: 136, 9, 1, -3, -945","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(1\/3))\/(a\/(a*a\/a**(-1\/16)*a)*a))\/(a**(3\/4)\/a**(2\/3)) assuming a is positive.\nAnswer: a**(79\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9)\/6)\/(9\/222). Which is the smallest value? (a) 5 (b) y (c) 2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -177? (a) 2 (b) 0 (c) -4 (d) -1\/25 (e) -11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -6*z. Suppose 5*k - 27 = 2*v, -v = -3*k + 4*v + 20. Let n = -37 + 44. Let l(u) = n + k*u - 7. What is 4*j(g) + 5*l(g)?\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -63 - (-32)\/(-8) - -70. Factor 9\/4*q**i + 0 + 5\/4*q**4 + 1\/4*q**5 + 7\/4*q**2 + 1\/2*q.\nAnswer: q*(q + 1)**3*(q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7, 29, 35, 5, -67, -187, -361, -595?\n\"Answer: -x**3 - 9*x**2 + 70*x - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jsjjjjqkjkjkjkjjj. What is prob of sequence qsj?\nAnswer: 11\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -5*s + 4. Suppose 0 = -4*z - 0*z + 40. Let c be x(z). Calculate the remainder when (-1)\/(2*1\/c) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 9*g + 13*g = 20, 4*c - 4*g = 36. Suppose 3*t = c*t - 2680. List the prime factors of t.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 130748 and 457618?\nAnswer: 915236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1810540 and -855?\nAnswer: 1809685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/9 + (1 - (-14)\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + 4*t - 4. Let g be c(-5). Let y(r) = -2*r + g + 0 + 10*r. Determine y(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22545, 3, -9, -51 in increasing order.\nAnswer: -22545, -51, -9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 4)*(-r**5 - 4*r**5 + 4*r**5) + 1361653*r**5 + 3*r**4 - 3*r**4 - 1361501*r**5.\nAnswer: 153*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7874880936 to the nearest integer?\nAnswer: 88741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 70 + -68. Suppose -30 = -3*f - 3*v, -b*v - 1 + 7 = 0. Suppose 5*m - 275 = d, -77 = -2*m - d + 40. Calculate the highest common divisor of m and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5011, -13\/3 in descending order.\nAnswer: 3, -13\/3, -5011","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p**3 - 72*p**2 - 13*p - 274. What is x(-24)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - g + 20 = 0, 91*g - 28 = 5*x + 90*g for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 4*i = 174 - 179, 5*r - 9 = -2*i for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12130001 is divided by 10000.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/5 + (9977 - 0). Let f be 1*2*k\/40. Suppose 0 = -2*b - f + 1985. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {g: 1, n: 17}.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.865 + -116.915. Let z = 118 + i. Let n = 0.95 + z. What is n rounded to 0 decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 522\/41 less than or equal to 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1053))**2 + -1 + -3)*1 - (-1 + -6*(sqrt(91) + (sqrt(91) + (sqrt(91) - 6*2*sqrt(91)) - sqrt(91)))\/sqrt(7)).\nAnswer: -78*sqrt(13) + 1051","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, g: 2}. Give prob of sequence llg.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*z - 15*z + 53*z**2 + z - 12*z**2 + 4*z as w*z + x*z**2 + j and give x.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 112 = 56. Suppose 0 = -0*l + 3*l - h. List the prime factors of 50\/8 - 7\/l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1240 != 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 22503 (base 9) in base 4?\nAnswer: 3222030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-159*h**2 - 3 + 1 + 161*h**2)*(274*h - 401*h + 441*h + 1023*h + 2327*h).\nAnswer: 7328*h**3 - 7328*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, l: 3, n: 5, z: 3, m: 1, v: 1}. Give prob of sequence nzyn.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1076*s + 1572*s + 2439*s.\nAnswer: 5087*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 89306\/9 - (-34)\/306 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (368*a**2 + 388*a**2 + 59*a - 24*a - 35*a)*(60*a + 10 + 4 - 15) to b*a**2 + l*a**3 + h + g*a and give b.\nAnswer: -756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -183522 divided by -91761?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 1, -60841, 1\/3, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 514.94 + -515. What is the nearest to 3\/10 in 5, n, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -350548?\nAnswer: 1\/350548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**2\/(d\/((d\/(d*d**(1\/2)))\/d))*d**(-5)*d\/d**(2\/7)*d**2*d**(-2)*(d*d**(2\/15)*d)\/(d**4*d) assuming d is positive.\nAnswer: d**(-1607\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2 = -1. Let d be o\/(-2)*4\/9. Put -0.4, d, -1 in decreasing order.\nAnswer: d, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 71742 divided by 33?\nAnswer: 2174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 59835114 and 11.\nAnswer: 658186254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1267 - 494. What are the prime factors of h?\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**2 + 0 + 0 + (-5*j + 5*j - 2*j)*(3*j + 0*j - 2*j) + 0*j**2 - j**2 + 2*j**2 + (0 + 0 - 2*j**2)*(-3 + 3 + 1) + 0 + 0 - j**2 + 1 - 1 - 2*j**2.\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 15) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/5267 + -416101\/42136. Let i be (1 - 251\/2)*-6. Calculate the common denominator of d and (i\/(-12))\/((-3)\/2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19901 - 19862. Solve -24*d = -11*d - w for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -5, -262, -107 in decreasing order.\nAnswer: 2, -4, -5, -107, -262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3329?\nAnswer: 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 4, -0.2, -4, 1513 in decreasing order.\nAnswer: 1513, 4, -0.2, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 - p)*(-4 + 4 - p**3) - 3*p + 3*p - 2*p**4)*(3*p - 13 + 12 - 2*p).\nAnswer: -p**5 + p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-105)\/(-1950))\/((-238)\/255)?\nAnswer: -3\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 975528955 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*o + 839 - 2127. What is the greatest common divisor of 20 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 4*t = -78, -4*o + 49 + 4 = 3*t for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.35 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1651*l**3 - 4*l + 4*l + 3010*l**3.\nAnswer: 4661*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**5\/7 + 65360*w**4\/7 - 4879500*w**3\/7.\nAnswer: -4*w**3*(w - 16265)*(w - 75)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*d**2 - 1143 + 1143.\nAnswer: 23*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*t = -3. Find the second derivative of -15*d - 9*d**3 - 2*d**3 + 16*d - 4*d**t wrt d.\nAnswer: -90*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**3\/11 - 6994*c**2\/11 - 109792*c - 4799872 = 0.\nAnswer: -6818, -88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 680923 is divided by 340420?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 2*f**2 + 5*f - 13. Give u(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 60*x - 16. Does 14 divide m(39)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 2) + 28\/32 - (47 - 27602\/592)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -33268818?\nAnswer: 5\/33268818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 2.2, 1, 361?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(6 + 0 + -4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 12*s + 4. Let k be x(-12). What is the highest common factor of 28 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292014 is divided by 2539?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40363106?\nAnswer: 2, 7, 19, 41, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13423526 or 13423531?\nAnswer: 13423531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 c, and 2 s when four letters picked without replacement from {s: 4, c: 1, j: 2, q: 11, g: 1}.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00927 less than 0.2?\nAnswer: 0.20927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7344)\/510*(-360)\/192?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -151974143?\nAnswer: -75987071.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1337a56 (base 13) to base 7\nAnswer: 102240365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1702839858988 - -0.363.\nAnswer: -1702839858987.637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3 + 6499086*z**2 - 6499087*z.\nAnswer: z*(z - 1)*(z + 6499087)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 n when four letters picked without replacement from nrrrn?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.43 - -0.43. Let y = -69 - -74.6. Let a = y + j. Sort -0.5, 1, a in increasing order.\nAnswer: -0.5, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52454360 rounded to the nearest one hundred thousand?\nAnswer: -52500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z + 0 = -32 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s**3 + 4*s**3 + 204 - 14 - s**2 + 395 in the form z*s + o*s**2 + j + r*s**3 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vtvvvsgkg. Give prob of sequence gtkv.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38673337?\nAnswer: 31, 1247527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {m: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 7*s - 221 = -3*b, -3 = 3*b. Let a be (-20)\/(-14) - (-4)\/(s\/6). Let z(g) = -14*g. Determine z(a).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -122370 and -0.5?\nAnswer: 61185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1539765963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w + 4*w**2 - 1 - 2*w**2 + 9*w**2 - 2*w**2. Let d be t(-1). Calculate the greatest common factor of 72 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-15)*1\/(-2). Suppose -17*o + 897 + 4101 = z. Calculate the highest common factor of 7 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 4 - 2. Let w(i) = 2*i**3 - 2*i**2 + i + 1. Let z be w(t). Let m = 15 - z. Solve -p - 9 = -m*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 6 - 22 - -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + y = -442, 4*o - 4*y - 362 = 522. Suppose 6*d + o = 575. List the prime factors of d.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4*w**2 - 127*w + 36. Let h be u(-32). Find the second derivative of 3*q - 450*q**h + 3*q**5 + 34 - 10*q**3 + 450*q**4 wrt q.\nAnswer: 60*q**3 - 60*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/(-21))\/(12\/42). Which is the closest to x? (a) 54 (b) 1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.8 - -0.2. Let u = -0.3 - -0.4. Which is the biggest value? (a) 5 (b) u (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 604140, 2416569, 5437292, 9666309, 15103620, 21749225, 29603124?\n\"Answer: 604147*q**2 - 12*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w. Let d(x) be the third derivative of -x**8\/5040 + 11*x**5\/60 + 9*x**2. Let t(m) be the third derivative of d(m). Give u(t(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 116204 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109057656?\nAnswer: 2, 3, 113, 40213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.17 * 991.0284.\nAnswer: -168.474828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zw when two letters picked without replacement from {z: 1, b: 9, e: 4, d: 1, w: 5}?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-7))**(1\/20) assuming r is positive.\nAnswer: r**(-3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.2 + 14. Let y = t + 1.2. Sort 5, -2\/3, y.\nAnswer: -2\/3, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-2)*156\/18. Find the second derivative of 1 - 3*v - w*v**4 - 1 + 2*v**4 wrt v.\nAnswer: -132*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 16. Suppose -162 - k = -5*c. What are the prime factors of c?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 492 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 66 = 4*i + 3*b, -i - 2*b + 9 = 0. Suppose i - 48 = -11*n. Sort 2, 5, 0, n.\nAnswer: 0, 2, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**2. Let k(w) = -30*w**2. Give o(k(f)).\nAnswer: -1800*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 + -1)*30\/25. Let x = -3 - c. What is k in -k + 2*k**2 + 4*k - x*k - 2*k = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 548 and 35894?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 533917887?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -3, -0.1, 2\/5, -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 - 15. Let r(b) = 18*b - 10. What is the tens digit of r(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b - 5. Let y be f(6). Let q = y + -9. Suppose q*m = 34 + 98. List the prime factors of m.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 f when two letters picked without replacement from {v: 2, f: 4, w: 1}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -25154153 (base 6) in base 4?\nAnswer: -3011112111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 2*c - 2187. Let o be (7 - 4)\/(-3) - c. Suppose 6*s = o - 14. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 100736 + 5?\nAnswer: 100743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s*s**(2\/15))\/s)*s)\/s**(1\/3)*s**10\/s**(-2\/31) assuming s is positive.\nAnswer: s**(5393\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fm when two letters picked without replacement from {m: 8, a: 1, f: 5, n: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 + (-19 - 3))*(-3)\/(-15).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8956021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/43 - -122\/301. Let x = -0.3 + 0.3. Let z = -4 - x. Put c, z, -3 in descending order.\nAnswer: c, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/98 (b) 6.4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1863 - 1863 + 18572*g**2 in the form y*g**2 + n*g + a and give y.\nAnswer: 18572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence geh when three letters picked without replacement from {p: 4, g: 1, h: 3, b: 4, e: 1, o: 4}?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7970 + 5*i + 3952 + 4018.\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -1\/525*h**7 + 0 + 0*h + 1\/30*h**5 + 0*h**3 + 14*h**2 + 1\/300*h**6 + 1\/20*h**4. What is m in x(m) = 0?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/813 and ((-755)\/(-35))\/((33\/44)\/((-7)\/8)).\nAnswer: 1626","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2 - 4*x + 3. Let r be m(2). Suppose -r*p - 225306 + 12306 = 0. What is p rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315 is divided by 40.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -16*f. Let q(z) = -22*z + 50*z - 29*z. Determine d(q(h)).\nAnswer: 16*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3*1)\/((-11)\/22). Let n(c) = c**3 + 7*c**2 + 6*c + 1. Let r be n(v). What is the highest common divisor of r and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 616\/220 + (68\/6)\/((-190)\/57)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 5*q = -47, -1418*q + 1422*q = -5*t - 61 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16077 - -16409. Calculate the remainder when o is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 75, 150, 223, 294, 363, 430?\n\"Answer: -t**2 + 78*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + -2734?\nAnswer: -2741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1928, 10, 17 in ascending order.\nAnswer: -1, 10, 17, 1928","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 + 28.1. Let q = r - -2.89999908. Round q to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 5*g = 16, g = 3*t + 5*g + 4. Suppose 0 = -0*i + t*i - 3012. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*y - 24 - 10*y - 4 - 6*y)*(4*y + 6*y - 12*y)*(4 + 0 - 6) to the form x + z*y + g*y**2 and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - 3922.34\nAnswer: -3921.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -5 (b) -0.2 (c) 0.4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*p + 4*p - 7*p - 5*p to the form i*p + z and give i.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 615.0824 litres in millilitres?\nAnswer: 615082.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2131103333 (base 4) to base 11\nAnswer: 400124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1\/9 (b) -368786 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3567852 rounded to two decimal places?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 15) + -28 + 19?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4945, 5038, 5131, 5224, 5317, 5410?\nAnswer: 5503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 1 + (26 - 17 - 16)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 24. Let r = 1291 + -1291. Give s(r).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -53108\/15 less than or equal to -3542?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15887 - 9864. What is the thousands digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -29*l**3\/6 + 137*l + 1. Let a(t) = -18*t. Give q(a(n)).\nAnswer: 522*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of y**6\/40 + y**5\/60 + y**4\/6 + 8*y**2. Let i(q) = 4*q**3 + q**2 + 5*q. Calculate 4*i(n) - 5*k(n).\nAnswer: n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -8. Suppose -v + 60 = 4*v. Does 15 divide (-304)\/v*3\/i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -469? (a) -0.1 (b) -8 (c) 1\/2 (d) 6 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1664 + -9847\/6. What is the common denominator of (-2)\/3 + (-25)\/(-24) and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z - 1. Let f be l(-6). Suppose -f - 1 = -3*h. Factor 3*x**2 + x**2 - x**h - 1 + 9*x + 7.\nAnswer: 3*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7674 is divided by 693?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/13 in -196, 0.4, 0.2, -0.3, 7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -14827 divided by 2\nAnswer: -14827\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -17*o - 1. Let z be i(3). What is the remainder when 102 is divided by (-13)\/(z\/168) - (7 + -6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 14*p - 147. Let s be u(7). Suppose -5*d + 2*d - h + 2724 = s, h - 3631 = -4*d. What are the prime factors of d?\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(-21)*(6\/10)\/(-3). Is a smaller than 3\/2110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 220342 and 8410.\nAnswer: 1682","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19 - 43?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 994 and 2260.\nAnswer: 1123220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 823 = 31*z + 978 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - (-3 + -9 - -3)) + (4 + -5 - -61)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -15 - (0 + 3) - 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0240059 + 0.024. What is p rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 265*l - 277*l - 36 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*n + 80*n + 6717490 = 0. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-2\/7)*t)\/t)**(8\/5)\/(((t*t**(-5\/7)*t)\/t)\/(t**(2\/19)*t)))\/((t**(-3)*t*t**(-7)*t)\/((t*t*t*t*t**7\/t*t)\/(t**(5\/2)\/t))) assuming t is positive.\nAnswer: t**(23757\/1330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*1*(sqrt(65) - 3*(sqrt(65) + -1*sqrt(65))))\/(sqrt(100)\/sqrt(5) - (sqrt(720) + (sqrt(720) - -1*sqrt(720)))))**2.\nAnswer: 325\/1156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 15*y**2 - 8*y - 18. Let w be m(11). Suppose -13*t - 8*t = -w. What is the greatest common factor of t and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2411 by -23397.\nAnswer: 2411\/23397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1189251 + 1189254.007505. Let j = -3.01 + t. What is j rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 3*u - 28. What is the third biggest value in u, 3, 5, 14?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-6*(0 + sqrt(1539) + 4))**2 - ((2*sqrt(342) - sqrt(342)) + sqrt(342))\/(-1*sqrt(2)*4)).\nAnswer: -279900 - 25935*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -16671639 divided by 1\nAnswer: -16671639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2800931*s**3 + 101*s**2 + 60512*s?\nAnswer: 16805586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2848 times -92.697\nAnswer: 264001.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -458 - -463. Find the second derivative of -66*b - 57*b + 19*b**t + 52*b - 26*b wrt b.\nAnswer: 380*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -52122, -104245, -156368, -208491, -260614, -312737?\n\"Answer: -52123*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3463011 is divided by 2060?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 * -0.5215525.\nAnswer: -6.7801825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -273 - -1095\/4. Which is smaller: l or 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1572 - 1569.479. Let p = h + -0.521. Put -0.3, p, 15 in increasing order.\nAnswer: -0.3, p, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1622 = -11*q + 7595. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8684379769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, r: 4, h: 2, c: 4, t: 3, i: 1}. What is prob of sequence thbi?\nAnswer: 3\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.23, -0.07, 4\/7, 1\/2?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -451 + 542. Let s be (-2)\/7 - (-401)\/7. Let u = h - s. Does 17 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + w. Let z(h) = -10*h**2 + 9*h. Let d(t) = -18*u(t) + 2*z(t). Let m(a) be the first derivative of 2*a**2 + 4. Determine m(d(g)).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -o*u**3 + 2*o*u**2 - 2*o*u + o + 1000*u**3 - 2*u**2 + 270*u wrt u?\nAnswer: -6*o*u + 4*o + 6000*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -63501 by -3.\nAnswer: 21167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 15 = -11*k. Suppose 0 = -5*f + 3*x - 2, -6*f - 4*x + 22 = -k*f. Suppose -102*v = 90*v - 6309 + 933. Solve v = -5*w - 3*o + 5, 2*o + f = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*g + (0 - 4 + 2)*(1 + g - 1) + 2 - 4*g + 0*g + 5*g.\nAnswer: -3*g + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 7*z + 10. Let v(s) = -4*s - 5. Let r(l) = 3*o(l) + 5*v(l). Does 6 divide r(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 51 (b) 2.75 (c) -0.2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 35113 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31 - 39*m**3 - 33 + 82*m**3 - 2*m - 3*m**2 - 9*m**4 + 2*m**4 to z + q*m**3 + p*m**4 + k*m**2 + d*m and give q.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (1 + -2) - (-18 + 51 + -48)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1855 - d62?\nAnswer: 9e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*m - 3*d, -4*m - 130*d + 125*d + 15 = 0. Let s = -1.95 - 0.05. What is the fourth smallest value in s, -4\/5, 22, m?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 116 + 126. Let p(v) = 6*v**3 - v**2 - 2*v - 5. Let l(a) = a**3 + a**2 - 1. Calculate s*l(g) - p(g).\nAnswer: -g**3 + 6*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.01 rounded to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12 + 10\/8*6)*(-4)\/9. Sort 5, -502, a.\nAnswer: -502, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393391372 a multiple of 7172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15)\/(-156) + (1 - (-44)\/(-52)). Let 9\/4*j**2 - 11\/4*j - p*j**4 + 1 - 1\/4*j**3 = 0. Calculate j.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/u**(-9)*u**(-8))\/(u\/u**(-1\/2))**(3\/8))**(2\/115))**(-48) assuming u is positive.\nAnswer: u**(-234\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54616 (base 7) to base 15.\nAnswer: 40c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -4\/1469 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-9\/7)\/x*x**(1\/16)*(x**(-1\/3)*x*x)**(-41) assuming x is positive.\nAnswer: x**(-23707\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4477.6 times -11392?\nAnswer: -51008819.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 147*l**4*x + 2*l**2*x**3 - 519*l + 2*x**3 wrt l?\nAnswer: 1764*l**2*x + 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0954 + -0.3954. Which is the closest to -2? (a) -0.2 (b) n (c) -0.09 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 5*k**2 - 6*k + 6. Let p(j) = -5*j - 129*j**2 + 133*j**2 - 6 + 11. Let s(h) = -5*c(h) + 6*p(h). Let a(d) = -8*d**2 + 1. What is a(l) - 4*s(l)?\nAnswer: -4*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 11:00 AM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 179790, 359577, 539364, 719151?\nAnswer: 898938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/3)\/(56\/(-18) - -3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*o**2 + 3*o**5 - 8*o**5 + 2*o**5 + 9*o**4 = 0. What is o?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (5 - (4 + 0 - -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 2 + 0)*(y - 3*y + y) in the form j + c*y and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8 + ((-17)\/49)\/((-90)\/2023) and -103\/10.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 10:33 PM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f + 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 3. Suppose 5*q - 4*s = -24, 3*s + t = 7*s. Let i be 2\/6 + q\/3. Let o(d) = 8*d**2 + 2*d + 1. What is o(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2090 + 190 = -85*t + 820 for t.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40 - 31. Let w be (-6)\/(-16)*78\/a*4. What is the greatest common divisor of w and 416?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of 1\/3*v**3 + 2 - 3\/2*v**2 + 0*v. Does 20 divide h(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 278 (base 16) in base 9?\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 303 = 2*n - 3*i, 348 = -5*n + 3*i + 1083. Suppose -6*v = 4*l - 4*v + n, -2*v - 178 = 5*l. Let b = l + 111. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 53 - -80. Suppose o*u - 130*u - 39 = 0. Does 13 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -p**6\/180 + 92*p**3\/3 + 77. Let v(z) be the third derivative of l(z). Let u(q) = 14*q + 1. Calculate u(v(i)).\nAnswer: -28*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 23, 97, -1\/4, -2\/7, 3\/5, 5?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -264 - 128. Calculate the lowest common multiple of 4 and c.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 8*j + 3. Let n(f) = f**3 - 11*f**2 + 99. Let v be n(10). What is m(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*o + 2*y = -18, 0 = -2*o + 3*y + 33. Is (4\/3)\/(o\/666) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -98? (a) -0.1 (b) -186 (c) -13 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-6)*(8 - -4). What is the units digit of 20\/f*108\/(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 + -3.7. Which is the closest to -4? (a) r (b) -1\/4 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/(-2)*(1 + 1). Solve 0*x = 5*x + j for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 23*g + 1345. Let c(a) = -1133*a**2. Give x(c(p)).\nAnswer: -26059*p**2 + 1345","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 13, 24, 37, 52, 69, 88, 109?\n\"Answer: z**2 + 8*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.21, 1\/27, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.8 + -1.6. What is the third biggest value in -0.5, 0.1, s?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 26*n**3 + 4083*n**2 + 133*n - 3713. What is s(-157)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2742 - -4891. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v - 2*v - 20. Let m(l) = -l**3 + 6*l**2 + 2. Let d be m(v). Suppose -2*i - 2*o + 14 = 0, 4*o - 60 = -5*i - d. Solve -3*c - i - 4 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 171, -1627 in decreasing order.\nAnswer: 171, -2, -1627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3449 - 3484 - (23 - -2)\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4382601 divided by 2\nAnswer: 4382601\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1210126)\/(-8) + ((-220)\/80 - -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4*f - 4*m + 2311, -4*f - 2*m = -1850. What is the third derivative of -t + 463 + 15*t**6 - 2*t**2 + 2*t**3 - 4*t**3 - f wrt t?\nAnswer: 1800*t**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -27642?\nAnswer: 27635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 50033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -72 in 6\/25, 2, 3, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 110011111011 (base 2) to base 3\nAnswer: 11120002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i + 3948889 - 3948955 = 0 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 e when two letters picked without replacement from {t: 12, l: 6, e: 1}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2839768214?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2*n + 48. Let o(s) = -32 + 0*s - 2*s - 37 - 29 + 109. Let r be o(n). Which is smaller: r or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -3*x + 136, 3*f - 7 = 5. What is the third derivative of -2 - 29*t**2 + x*t**3 + 2 - 19*t**3 wrt t?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 5*j**2 + 16*j + 207. Let v be r(-10). Let c = 577 - v. Calculate the lowest common multiple of c and 84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6769311 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6808 and 37152958.\nAnswer: 1702","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 13357795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8\/16771 or -183?\nAnswer: -8\/16771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 674 a factor of 808984416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9152 = -16*i - 2784. Let o = i + 20. List the prime factors of o.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 370526 is divided by 30831?\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qjvjjqjqvqvjjvl. What is prob of sequence qv?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 4*x = 2, -5*d - 42 = 4*x - 31 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 1 + 0*a**4 + 6*a**2 - 5*a**2 - 2*a**4 in the form b*a**4 + y*a**3 + q*a**2 + f + w*a and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-26))\/(-4) - (-325)\/3380\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11096916491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 5 + 3 - 568*n + 3 in the form j + y*n and give y.\nAnswer: -568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 42*y + 4 - 12.\nAnswer: 42*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5025524 and 44.\nAnswer: 55280764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 2)*(-4)\/2. Suppose -x + h = -2. Let k = 2410 - 2366. Calculate the highest common divisor of x and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79761738?\nAnswer: 2, 3, 7, 1899089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-212)\/(-28) - -7.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/14)\/((((-1139)\/(-14807))\/((-14)\/(-6)))\/6)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*r + 2*i, -i = -3*i - 10. Calculate the lowest common multiple of 1 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 8*d**2 - d. Let f(l) = 2*l**2. What is 6*f(c) - v(c)?\nAnswer: -c**3 + 4*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6285, -37661, -89949, -163149, -257261, -372285, -508221?\n\"Answer: -10456*o**2 - 8*o + 4179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 1075010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - 2c6?\nAnswer: -2cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 27*m**3 - 9*m**2 + 9*m - 99. Let o(l) = -13*l**3 + 4*l**2 - 4*l + 44. Let q(t) = -4*f(t) - 9*o(t). Let a(i) = 8*i**3. Give 5*a(d) - 4*q(d).\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 44 = -5*q, -5*q - 7*b - 282 = -290 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3050719.4 - -131519\nAnswer: -2919200.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = m + 14, 102*r - m = 105*r + 42. Sort 0.05, -4, r.\nAnswer: r, -4, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4159904 divided by 10976.\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18180590 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**4 + 2*v**4 + 4*v**4 + (-3*v**3 + 6*v - 6*v)*(2*v + 2*v - 2*v).\nAnswer: 3*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/11 (b) -2\/5 (c) 14 (d) -1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10011 - -11000?\nAnswer: 21011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 61\/20 - (4 + -1). Which is the biggest value? (a) -2 (b) -0.5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/3)\/((-16)\/192))\/(-42)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 5*d**2 + 2*d**2 + 4*d**3 - 3 - 9 - 3*d**3 - 10*d. Let r be y(-8). What is the remainder when r\/10 - ((-279)\/15 - -5) is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v + 1. Let c(y) = -2*y. Let w(l) = c(l) - f(l). Let k(u) = -u - 1. Determine -3*k(p) + w(p).\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -3*q**2 + 13*q + 1\/4*q**4 - 12 - 3\/4*q**3 = 0.\nAnswer: -4, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19312500 rounded to the nearest 1000000?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pjjl when four letters picked without replacement from {l: 2, j: 2, p: 8}.\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32868*n + 32865*n - 12 = -3*y, y - 4*n = 13 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(-3) - (-1 - -1). Suppose q = -4*l - 14, -2*q - q - 4*l - 2 = x. Calculate the remainder when 23 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48527844?\nAnswer: 2, 3, 1669, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 76068 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 d when two letters picked without replacement from {d: 2, f: 2, o: 3, q: 1, g: 2, r: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*k - 14350 = -14*k. Calculate the highest common factor of 41 and k.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 426 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/2)\/(1\/19). Let a = m + 39. What is the least common multiple of 1 and 30\/(-1)*6\/a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 129, 427, 1011, 1977, 3421, 5439, 8127?\nAnswer: 11581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2784*j + 8637 - 4682 = -3184*j - 13949 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 4*j**2)*(2*j - j + j)*(-13 + 13 - 36*j).\nAnswer: 288*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2650132287?\nAnswer: 3, 11, 26769013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1409309 is divided by 469752?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1057235mg to nanograms.\nAnswer: 105723.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210 - -2112021121122121?\nAnswer: 2112021121200101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (16\/(-4))\/(2\/17). Let f = 38 + k. Solve -f*o = 4*r + 12, 10 = -5*o + 5*r - 15 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 8*h + 344. What is the thousands digit of u(-23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 3. Let u = 85 + -64. Let p be 66\/u - v\/28. Solve 0 = -j - h - 6, -2*j - j + 12 = -p*h for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 28*i**4 + 104*i**3 + 380*i**2 + 480*i + 208. Let h(q) = -9*q**4 - 35*q**3 - 127*q**2 - 160*q - 69. Let p(m) = 16*h(m) + 5*u(m). Factor p(o).\nAnswer: -4*(o + 1)**2*(o + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1860181 (base 12) to base 13\nAnswer: -1097c26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**22)**(-19)\/(u**14)**(-18) assuming u is positive.\nAnswer: u**651","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.23 + -0.07. Let f = -1.7 + v. Which is the nearest to 1? (a) f (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 83*n**2 - 391*n - 152. What is h(-78)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-402*s**3 + 45*s**3 - 203*s**3)*(10 - 10 + 17).\nAnswer: -9520*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -37 + 32 + -4 + -26\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3308 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.660019 kilograms to micrograms.\nAnswer: 8660019000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -2*g + 10, 4*d - 20 = -2*g - 2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(56) - (sqrt(126) - -1*sqrt(126)))\/(5*(sqrt(128) - -1*sqrt(128)) - sqrt(128) - sqrt(128)).\nAnswer: -7*sqrt(7)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of 13*u**4\/6 + 2*u**3\/3 - 3*u**2 - 20*u - 2. Let x(o) = 5*o**2 + o - 1. What is -2*m(b) + 11*x(b)?\nAnswer: 3*b**2 + 3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.898329nm in millimeters?\nAnswer: 0.000009898329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75834 is divided by 169?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 - -1.1. Let n = 3 + -3.5. Let m be (1\/(-4))\/((2 + 0)\/(-4)). Which is the closest to m? (a) -4 (b) n (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*o - 8 = -2, 4 = -f - o. Let p be 37 + -3 - f - 1. Suppose -h + 6*h = p. Does 3 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-6) - 10\/(-6). Let i be a\/(-3)*(-9)\/(-12). Let h = -0.5 + 0.1. What is the nearest to 0.1 in i, h, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.16 + -0.34. Suppose 2*n = 6*n + 8. Let m = -3.2 - -3. Put m, n, s in ascending order.\nAnswer: n, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -314 (base 9) to base 14\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.48812 rounded to 0 dps?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2*(sqrt(605) - (3 + (sqrt(605) - (sqrt(605)*-2 - sqrt(605))))))**2.\nAnswer: -43632 - 1584*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 8*p + 7. Calculate the remainder when h(6) is divided by 4\/((-16)\/(-68)) - 3.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of k**10\/50400 - k**8\/3360 + k**6\/240 - k**5\/15 - k**2. Let q(l) be the third derivative of s(l). Determine n so that q(n) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47.1 * -62839\nAnswer: 2959716.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 10*l**2 + 4. Let g(m) = -m**2. What is g(r(p))?\nAnswer: -100*p**4 - 80*p**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3*u = 81, 8*u - 6 = -j + 12*u. Let y(n) = -1740*n**3 - n**2 + 2*n. Let d be y(2). What is the tens digit of 4\/j - d\/54?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**2)**43)**(-4\/3)\/((a**3*((a**7*a)\/a*a)\/a)\/(a*a\/(a*a\/(a*(a\/(((a*a*a**(-1))\/a)\/a*a)*a)\/a*a)*a)*a*a*a*a)**(-12)) assuming a is positive.\nAnswer: a**(-590\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 73*f + 20*f + 4*f + (-3*f + 5*f - f)*(10 + 9 - 4) to m*f + v and give m.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*p**3 - 20 + 47 - 13 - 16 + 4*p**4 + 2*p**2 + 15*p**3 as n*p**4 + o*p + v + y*p**3 + u*p**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) -6 (b) -3 (c) 0.4 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/4 and -53\/469829.\nAnswer: 1879316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**2 - 2*k**2 - k**2)*(2*k + 0*k - 4*k + (3 - 3 + k)*(1 + 2 - 2) - k + 4*k - 5*k)*(-26 + 11*k**2 + 26).\nAnswer: -33*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 1. Let h(c) = 3*c**3 - 5*c**2 - 7*c - 7. Let z(k) = 4*d(k) + h(k). Factor z(j).\nAnswer: -(j + 1)**2*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4*r**3 - 4*r**2 - 3*r - 2. Let o(m) = m**3 - 8*m**2 - 10*m + 7. Let f be o(9). Determine u(f).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 128 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36617209403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**3 + 2*f**3 + 0*f**3)*(3*f + 4*f + f) + (4*f**4 - 4*f**4 + f**4)*(-1 - 1 + 3).\nAnswer: 17*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.351943 and -0.183?\nAnswer: 2.168943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1471, -3174, -4867, -6550, -8223, -9886?\nAnswer: -11539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 = -2*w + 5*w + 4*u, -26*w - 1599 + 1572 = -3*u for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 + 2.9. Let f = -2 + k. Let l = 1.9 + -3.9. What is the second smallest value in f, -1\/5, l?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 4*v - 14, -4*z + 2 + 19 = 3*v. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 154164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3567 - 6?\nAnswer: 3561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 695176 rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 25 = -w, -w = -o + 151509 - 151500 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4 + sqrt(684) + 1 + (-5 + sqrt(684)*-1 - (sqrt(684) + -2*(sqrt(684) - (2*sqrt(684) - sqrt(684))))))**2*5.\nAnswer: -60*sqrt(19) + 3425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + s - 10. Suppose -5*b = -0*b. Let m be r(b). Let n = m + 20. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**3\/4 + 871*s**2\/4 - 2599*s\/2 + 1730 = 0. Calculate s.\nAnswer: 2, 4, 865","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*c**4 - 5*c**3 + 2 + 2*c - 15*c**4 + 0 - c**2 to the form x*c**3 + p*c**4 + a*c + g + v*c**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/(-3) - 2)*(-42)\/(-28). Suppose -48*k = -46*k - 4. Sort a, k, 3 in descending order.\nAnswer: 3, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 7) to base 13\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 481640233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111110111 - -101100011001?\nAnswer: 100100100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}