diff --git "a/data/dm_maths/full_data/1395_11255.jsonl" "b/data/dm_maths/full_data/1395_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1395_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let k(i) = i**3 + 2*i**2 - i. Let f be k(-2). Let d be (-39)\/9 - f\/(-6). Suppose 11*p - 5 = 12*p. Which is greater: p or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of 25*m - 67\/6*m**4 - 35\/6*m**3 + 0 + 0*m**2. Find the second derivative of n(v) wrt v.\nAnswer: -268","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + d**2 - d - 1. Let j be n(2). Suppose 4*l + 5*g = 27, -4*g + 3 = -j. Suppose 4*a - l = 53. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 400 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1117381186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 4.7 and 15616 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/(-6))\/((-12)\/(-18)))\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*o**3 - 5*o**3 + 2*o**3 + (o**2 + 2*o**3 - o**2)*(-4 + 5 - 4) to j + c*o**2 + h*o + i*o**3 and give i.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + sqrt(14)\/sqrt(2) + 1).\nAnswer: -12 - 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 - 6474*d + 6471.\nAnswer: 3*(d - 2157)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (-2 + -1)\/(-1). Suppose -l = p*l - 10. What is the remainder when (-1 - 0)\/((-1)\/5) is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*f = 122*f + 55. Suppose -2*t + 642 = 2*r, r + f*t - 317 = 6*t. What is the highest common factor of 44 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 917770129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b - 63?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3826*s - 1. Let g(m) = m**2 - 22. What is g(x(l))?\nAnswer: 14638276*l**2 - 7652*l - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j + 4. Let x = 11 + -6. Let s be u(x). Suppose -2*d - 10 = 0, 5*f = 3*d - s - 1. Is -4 not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 1:39 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 15 (b) -76\/81 (c) -938\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 100.111 and 2.\nAnswer: 200.222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2262 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 u be (4\/(-2))\/((-2)\/30). Let q = 62 - u. List the prime factors of q\/7 + (-3)\/(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -417, -14052, -27687, -41322?\nAnswer: -54957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51 + -49. Let l(b) = 3*b**i - b**2 + b**2 - 2*b**2. Let v(m) = -73*m. Give l(v(q)).\nAnswer: 5329*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 + 36*p - 1 + 4*p**2 + 9 - 46*p.\nAnswer: 2*(p - 4)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -26 (c) 0.425\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/10 + (-252)\/(-495). Sort -3, w, 5.\nAnswer: -3, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17003 - -17014. Solve 0 = -3*o + l + 8, 0 = o - 10*l + z*l for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bmwb when four letters picked without replacement from bbdwdmbwbrdwbd?\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/8864952 and 65\/27636.\nAnswer: 434382648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5298, 5292, 5284, 5274?\n\"Answer: -z**2 - 3*z + 5302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 25. Suppose -2*c + 3 + d = -t, c - 2*t = 11. Calculate the common denominator of 76\/18 - (-1 + c) and 25\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mjmjmmjkmkjjjjjjjmjm. What is prob of picking 3 m and 1 k?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 146 (base 8) to base 16.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51422?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -27 and -14567.647?\nAnswer: 14540.647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -55.68 - -57. Round j to one decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 3177132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m - t - 10, 3*m = -84*t + 83*t - 6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + g**2 + 1. Let i(p) = -p**3 + 2*p**2 - p + 4. Let t(d) = -d**2 - 4*d + 2. Let b be t(-4). What is b*u(z) - i(z)?\nAnswer: -z**3 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + d + 21 = 2*d, 0 = -d - 3. Let p(f) = 4*f**3 - 4*f**2 - 3*f + 3. Let v be p(2). Solve -5*k + s = -v for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2297 - -306.2297. What is the second biggest value in -0.2, z, -1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10842 divided by 5421\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 418 + 436. Suppose 4*a = -2*c + 282, -7*c + 4*c - 5*a + v = 0. Suppose -3*o - m = -0*o - 143, 0 = 3*o + 4*m - c. What are the prime factors of o?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71518 divided by -36.\nAnswer: 35759\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 29 = 3*x, 2*x - 4*x - g = 11. List the prime factors of (x\/(-4))\/(1\/4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 41 - 18 - 19 + c in the form r*c + i and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -48*l + 11*l - 37 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.57 + 0.43. Which is bigger: q or 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1048242059, -1048242061, -1048242063, -1048242065, -1048242067?\nAnswer: -1048242069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -725135415 to the nearest 100000.\nAnswer: -725100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11.5236 - 14.121. Let t = c - -2.6. What is t rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/6*315\/84. Let s(v) be the first derivative of 0*v - 6 - 1\/5*v**5 + 0*v**3 + 0*v**4 - d*v**2. What is the second derivative of s(m) wrt m?\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + 0 + sqrt(13) + sqrt(637)*-3 + 5)*2.\nAnswer: -120*sqrt(13) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.7 + -7.7. Let p = 0.2 - 3.2. Which is the closest to -2? (a) o (b) 0 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.82 and 0.0457736?\nAnswer: -0.083307952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-2) + 32\/8. Let c(g) = q*g + 12*g + 16 - 11*g. What is the units digit of c(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nwvbcbnc. What is prob of sequence nbbw?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 - 39844080*q**2 - 79377535552320*q.\nAnswer: -5*q*(q + 3984408)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.98 + 1.18. What is the nearest to 2\/5 in c, -0.1, -3\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 192?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.236 and 237728.\nAnswer: 56103.808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 17.2 and -11.\nAnswer: -189.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 18 = p - 3*x, 3*x = -2*p - 16. Let z = p + 5. Suppose -4*n + 20 = -5*y - 6, z*n - y - 25 = 0. What is the lowest common multiple of 6 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v + 12 = t + 14*v, 46 = 4*t - 3*v. What is the least common multiple of 32 and t?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + l. Let u(c) = -c + 2. Suppose 0 = -2*f - f + 3. Let y(p) = f*u(p) + t(p). Differentiate y(q) wrt q.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 1 + 3 + f**2 - 4 - 6*f - 7. Let k(b) = b + 1. Let u(c) = 6*k(c) + m(c). Let h be u(-2). Solve 0 = -5*g - 3*i + 34, 0 = -g - i - h*i + 17 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*42.061955\nAnswer: 168.24782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 469*x - 975*x - 10 = -496*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 0*t = -2*t - 40, t + 56 = 5*s. Let m be (-3)\/s + (-2)\/(-8). Which is the nearest to m? (a) -3 (b) -0.2 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.05 + 0. Let y = 0.03394 + 0.46606. Which is the nearest to y? (a) -0.5 (b) 0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*m + 21*m - 2*s = 4220, m = -s - 841. Let i = m - -894. What is the highest common factor of i and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 8 - 70. What is the remainder when d is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 2*q + 393, q + 373 = 5*g + 4*q. Let t = g + -12. What is the greatest common divisor of 13 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 6, 54, -88, -5, 4, -2 in increasing order.\nAnswer: -88, -8, -5, -2, 4, 6, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f - 4. Let l be j(-7). Suppose l*v + v = u - 22, 2*v = -5*u. Find the second derivative of -3*a**2 - a + 4*a**2 + 0*a**u wrt a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-32)*(-2896)\/1086.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14035071*d**3*m**3 - 8520*d**3*m - 5*d**2*m - 4*d*m**2 - d*m + 2*m wrt m.\nAnswer: 84210426*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v, 4*d - 5*d + 10 = -v. Is d at least 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -49*u. Let y(f) = -f**2. Calculate l(y(o)).\nAnswer: 49*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 7*b - 5. Let y be c(8). Suppose 2*r = y*r + 7. Let v(t) = -t**3 - 7*t**2 - 2*t - 10. What is the units digit of v(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of r**5\/5 + 13*r**3\/6 - 9*r. What is the second derivative of v(u) wrt u?\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(170) - (sqrt(170) + 2*sqrt(170) + sqrt(170))) + sqrt(170))*-1*-2)\/((2*sqrt(1000) + sqrt(1000))*-4).\nAnswer: sqrt(17)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 8*w + 258. Let d(v) = -v**3 + v**2 + 4*v - 4. Let r be d(3). Is w\/(-5) - (-6)\/r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/18*1428\/(-340).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/1)\/(1\/1). Let h be (-2)\/4*((-11 - -3) + -2). Solve 3*q - h*r + 9 = 1, q + u*r = 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5*b + 139 = 0, 187*b + 204 = 4*g + 185*b. Solve 7*r = -g + 18 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -35998\/9 or -4000?\nAnswer: -35998\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25688546 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.7 - -2.3. Let l = -85 - -85.2. What is the second biggest value in r, -0.06, 0, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (25\/15)\/(1\/3). Solve -4 = 5*m + y, 4*m + 2 = -d*y + 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -12*i. Let a(w) be the first derivative of w**4\/12 + 14*w - 7. Let h(l) be the first derivative of a(l). Determine c(h(v)).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 73339*d + 440032. What is q(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.4883951 and 1329255.\nAnswer: 1329256.4883951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 4:29 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of k**2 + 8*k - 9. What are the prime factors of g(6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-120)\/80)\/((-2)\/((-16)\/6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3 - 236*r**2 - 3996*r - 14580.\nAnswer: -4*(r + 5)*(r + 27)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 6) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - n - 12 + 3, n = -1. Suppose 0 = c*m - 12, 11 = l - m + 32. Is ((-52)\/3)\/(4\/l) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -4 (b) -6 (c) 2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -735*g + 1986 = -8992 + 1423 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2 + 0*o**2 - 6*o**2 - 2. Let p(z) = 4*z**2. Give p(s(y)).\nAnswer: 144*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-104) - (-5 + 417\/78).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**3 - 3*f**2 - 4*f - 3. Let o be a(-3). Let z = 86 + o. Calculate the remainder when 65 is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(252)*-2 - 6*2*sqrt(252))*-4 + -1)**2.\nAnswer: 4704*sqrt(7) + 790321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**5 + 429*u**4 + 163671*u**3 - 18424953*u**2 - 1506507768*u + 1524768624 = 0.\nAnswer: -207, -59, 1, 204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 6*k**2 + 2*k + 6*k**2 - 1)*(0 + 2 + 0).\nAnswer: 24*k**2 + 4*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(156) + sqrt(156)*-2*1)\/(sqrt(192)*6) + ((-2*sqrt(104))\/sqrt(8) - (-1 + sqrt(13))*-5))**2.\nAnswer: -355*sqrt(13)\/12 + 78205\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of d**4\/3 + 20*d**3\/3 + 50*d**2 - 14*d + 4. Factor o(j).\nAnswer: 4*(j + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w = 8*w + 2401. Suppose -5*p - w = 152. Let i = 98 + p. Sort 3, i, -10, -4 in increasing order.\nAnswer: -10, -4, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2689837136 and 602.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 18.84 and 81.96.\nAnswer: 100.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vg when two letters picked without replacement from gppupvpv.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-3) + 3\/27. Let r = 23.68 + -1107.68. Let d = r - -1081. Which is the nearest to u? (a) -5 (b) -0.02 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*d - 15 = -8, -2*d = v - 7. Let m be (-28)\/(-6) - (-7 - (v - 18)). Let r be (-4)\/(-3)*(1 - 4). What is the second smallest value in m, 2, r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1337 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.04, -5\/4, 0?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - c**2 - 1. Suppose 0 = 4*z + 3*a + 10, -174*z - 3*a - 14 = -172*z. Let p(b) = -b**3 - b**2 - 2. Calculate z*q(s) - p(s).\nAnswer: 3*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30233 - -1?\nAnswer: -30232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.23 - -1.23. What is the closest to l in 0.3, 0.04, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -363941*i - 57866626. Calculate a(-159).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u = -8*u + 91. Suppose -61 - 51 = -4*k + 4*g, 0 = -3*k - 2*g + 94. Let q = k + u. Is q a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -40, -67, -94, -121?\n\"Answer: -27*s - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 261705 or 261707?\nAnswer: 261705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x**3 - x + x**3 - 193*x**4 + 349*x**4 - x**3 - 212*x**4 as o*x**4 + f*x**2 + l*x**3 + u + g*x and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4129.\nAnswer: 4129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 1\/2 (c) -3448\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {a: 8, s: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 6*o - 8. Is (o\/(-8))\/(1\/(-12)) 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 293317 and 3699.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 347 - 512.\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2762313 to the power of 1\/3, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -19. Let r = 239\/165 - 19\/15. Which is the nearest to 2? (a) p (b) r (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 25, 2*r + 2*r = 4*b - 16. What is the fourth smallest value in -1\/8, r, -2\/11, -1\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-876)\/(-36) - 23)*(-9)\/(-30)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -13*d + 907. Let n(c) = 13*c - 1032. Give -6*m(g) - 5*n(g).\nAnswer: 13*g - 282","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 21.424?\nAnswer: -10.712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 5*h + 17. Let o be p(7). Suppose 305 = o*q - 250. Is q a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(128)*-1 + (sqrt(128) + -2*sqrt(128))*5)**2 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1714105309 to the nearest integer?\nAnswer: 1197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -8*b**2 - b. Let s be l(-2). Let r = s + 51. What are the prime factors of r?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 888.3578l to millilitres.\nAnswer: 888357.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6.8 times 1.3\nAnswer: -8.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 8 + (39\/(-45) - 2144\/335)?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -426*c + 3897*c - 37836 - 14229 = 0 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2321\/2? (a) -0.3 (b) -2 (c) 6 (d) 0.2 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-3)*k)**(1\/20))**(-22)\/((k**(2\/5)\/k)**(-3\/26))**23 assuming k is positive.\nAnswer: k**(79\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -47, 1, -4 in descending order.\nAnswer: 1, 0, -4, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of 203*m**5\/5 - 129*m + 18. What is the first derivative of v(k) wrt k?\nAnswer: 812*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21025?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 149651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3155, 6313, 9473, 12635, 15799?\n\"Answer: z**2 + 3155*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a**2 - 14*a - 14. Let r be z(-9). Is -132 at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6239*k**2 + 4302*k**2 + 7457*k**2 + 10871*k**2 - 8.\nAnswer: 16391*k**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 14*k. Suppose 3*n - 3*i = i - 31, -5*n - 2*i = 17. Let r be (43 + n)\/(4\/(1 - 3)). What is the remainder when s(r) is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -15*s**3 - 5*s + 5. Suppose 4*u - 4*y = -12, 5*u + y + 15 = -4*y. Let z(m) = -8*m**3 - 3*m + 3. Determine u*p(d) + 5*z(d).\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 146a + 1?\nAnswer: 146b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -76668*q - 4. Suppose 5*x + 8 = -t, 5*t + 2*x - 1 = -18. Let n be b(t). Round n to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -3*v + 110, -4*i = i - 4*v - 75. Let s = 22 - i. Suppose 0 = s*j - 2*x - 78, 5*x - 4*x + 3 = 0. Calculate the greatest common factor of j and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1726363842?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123185.\nAnswer: 5, 71, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 11*t - 122. Let n be y(7). Solve -4*h = -2*h - 3*f + 3, 3*h = 4*f - n for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -17076.\nAnswer: 85380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 6*v - 4 = 0. Let k(x) = 6*x**2 - 1. Let j be k(v). Let b = 10 + j. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 3*o - 5, -z + 16 = -3*z + 4*o. Let w be (-7)\/(-2) - (-3)\/z. Let u = w + -4. Are 1 and u nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -60, 3, -2, -56, 15, 1 in ascending order.\nAnswer: -60, -56, -5, -2, 1, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -j**6\/24 + j**5\/10 + 3*j**2. What is the third derivative of m(x) wrt x?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 6 + (4 - (-8 + 18)) + -16.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32156*d = 32161*d - 4*q + 54, -8*q = 5*d + 102 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-1\/4))**(18\/11)*u*u**(2\/9)*(u*u**(-7))\/u)\/((((((u\/(u**1\/u)*u)\/u)\/u)\/u)\/u)**(-18\/5)\/(u\/u**(-2\/7))**(-28)) assuming u is positive.\nAnswer: u**(-46463\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 28*s + 166. Determine h(-21).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 5)\/(1 - 0). Suppose 4*f = x*u + 88, 0 = -f + 6*f - u - 99. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**5 - 2*p**5 + 5*p**5)*(11 + 12 - 18).\nAnswer: 20*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(((a**(-1\/12)\/a*a)\/a)\/a))\/a)**(-8\/7)*(a**(-23)\/a*a*a)\/a**0)**(-3\/14) assuming a is positive.\nAnswer: a**(256\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5 = h - k, -2*k = -4*h + 14. Let g be (3\/(-2))\/(2\/4). Sort h, -1, g.\nAnswer: g, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zczzzzczczczzzczzz. What is prob of sequence cc?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3*15712\nAnswer: -47136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86384 + 103066 = -2509*k + 27504 + 36496 for k.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1189\/(-410) - 9\/(-2) - 0?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide (-15)\/(-30) + (-483)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 3*i = 69, i + 2*i - 23 = g. Let m = g + 47. Let x be (-6)\/(-45)*(1 - m\/9). Sort 3\/7, -22, x in ascending order.\nAnswer: -22, x, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1719*m - 1719*m - 70*m**3.\nAnswer: -70*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 421892.36 to the nearest one hundred.\nAnswer: 421900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 498574 is divided by 35609?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -252.8 + 0.8. Let r = -10322.61 + 10072. Let h = r - s. Round h to one dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (240\/(-115))\/1 + 2. Is j > 0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lif when three letters picked without replacement from alfailiisilial?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17564, -17540, -17502, -17438, -17336, -17184, -16970?\nAnswer: -16682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1))**(-50)\/(o*o*o**0\/o)**34)**(-1\/3) assuming o is positive.\nAnswer: o**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -102010120 (base 3) to base 7\nAnswer: -32442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1574 - -1500 - ((4 + 0)\/1 - 57\/19)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 4*w + 1. Let d be m(1). Let v(z) = -3*z + 3*z - z. Let c be v(d). Sort -5, 2, c in ascending order.\nAnswer: -5, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 120068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(832) + sqrt(832))**2 - (sqrt(13) + (sqrt(91) + sqrt(91)*-3)\/sqrt(7)).\nAnswer: sqrt(13) + 7488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 3*z - 5*l, -z + 3*z - l + 2 = 0. Let i = z - 6. Calculate the remainder when (-752)\/(-20) - (-3)\/i is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -304004340 (base 6) to base 2.\nAnswer: -10011111011111111100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(-x**5 + 1 + 2*x**5 + 0*x**5).\nAnswer: -x**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4133671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (496\/(-217))\/((-3)\/((-8925)\/(-68))).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 552 and 1655712.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmma when four letters picked without replacement from {m: 5, o: 2, a: 2}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjijjjiijiijdjjjjj. Give prob of sequence jd.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -804.\nAnswer: -804, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - z**2 - z. Let o(s) = s**3 - 11*s**2 - 3. Let q be o(11). Let r(m) = m**3 + 9*m**2 + 6*m - 4. Let j(g) = q*r(g) + 6*h(g). Factor j(b).\nAnswer: -3*(b + 2)**2*(3*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03953 to 3 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 12 + 13)*(-2*t + 2 - 2 + (0 + 0 - 1)*(2*t - 2 + 2) + t - t + t).\nAnswer: -33*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1)\/s*s)\/s)**(-24) assuming s is positive.\nAnswer: s**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6309.666ug in nanograms?\nAnswer: 6309666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2138a (base 12) to base 13.\nAnswer: -16ba6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2820364\/230763 + 36432\/5917. Let v = n + 40\/183. Let l = -6 - v. What is the third smallest value in 3, 2\/21, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 15 = 3*p. Let k = -2 + p. Solve 3*r + 0*f = 2*f - 10, 4*r - 15 = -k*f for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**3 + 7*d**2 - 5*d. Give n(4).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 = 10*r - 37. Let o be ((-4)\/(-10))\/(3\/30). Calculate the remainder when (-1)\/((-8)\/148)*o is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 6, -2, 39.8, 105 in increasing order.\nAnswer: -2, 0, 5, 6, 39.8, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1021 + -1016. Solve -c = -p*c + 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*o + 23. What is the first derivative of o*j**4 + 10*j**4 - 150 + 156 wrt j?\nAnswer: 68*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1083)\/(-3249))\/((-2)\/((-4)\/(-17)))\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qmyymmymcoyyyym. What is prob of sequence yy?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**3 + 11*z**2 - z + 10. Determine m(-7).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 3*l = -11, -l = -2*x - 0 - 13 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*c = -1333904. Let m = 37350309\/56 + c. Let v = m - 94\/7. Calculate the common denominator of v and -83\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 6*v**2 + 10*v + 12. Let a = 64 - 44. What is the remainder when h(5) is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2152712, -4305424, -6458136, -8610848?\nAnswer: -10763560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1146)\/(-105) + (-4)\/(-14) and ((-6)\/(-60))\/((-4)\/315).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + 0 + sqrt(1008) + 4 + sqrt(1008) + 1 + 2)**2.\nAnswer: -12243 - 1008*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 1. Let v be r(2). What is the remainder when (-16)\/(-2) - 0\/v is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 2*o + 3, 5 = 2*d - 5*o - 1. Let b = 6 - d. Find the first derivative of -4 + 2*c**b - 4*c**3 + 2 wrt c.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 14*b - 59. Give h(8).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2. Let g(o) be the second derivative of 25*o**4\/3 + o**2 + 116*o. Calculate g(h(m)).\nAnswer: 100*m**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(-4)\/((-8)\/(-7)). Let n = p + 10. Solve -4*b + 3*m = -11, -b + n*m + 1 + 13 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 2*v - 41 = 7*v, 0 = 4*p - v - 21 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (m**2 + 3*m**2 - 3*m**2)*(4414 - 2349 - m - 2280) in the form g*m**3 + l + b*m**2 + r*m and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4011625019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -1172, -3111, -5838, -9353?\nAnswer: -13656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -26 + 76*m + 52*m - 19*m wrt m.\nAnswer: 109","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171382.\nAnswer: 2, 85691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2955850 divided by 47675.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 - -6*5\/10. Let u be 3*(-2)\/(-6) + (-22)\/k. Let z = 4 - 0. Solve -z*j - u = -3*t, 3*j = -3 - 6 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**2 + 0*l**2 + 0*l**2)*(2*l**2 - 24*l**2 - 20*l**2 + 3*l**2 + 2166*l**3 + 36*l**2).\nAnswer: -8664*l**5 + 12*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*o - o - 20 = 0, 4*o - 20 = 4*y. What is the third smallest value in 2\/9, y, -47?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + -4 + 2)\/1. Suppose 0 = -f*g - g - 5. Let i(q) = -2 + 70974*q**3 - 4*q**2 + 3*q - 5 - 70975*q**3. Determine i(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = r + 3*k + 4, 0 = 2*r - 3*k - 17 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5591663724 a multiple of 2340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xu when two letters picked without replacement from xhivu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.03, -2\/3, 2\/5 in descending order.\nAnswer: 3, 2\/5, 0.03, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -136543 (base 8) to base 9\nAnswer: -73450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/(-18)*(-12)\/(-16). Let g = 1554821\/182 - 8543. Let h = -3\/26 + g. Which is the third smallest value? (a) h (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 666.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 - -52. Let g = l + -36. Sort -2, g, 0.2.\nAnswer: g, -2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 8*i. Let q(f) be the second derivative of 0 - f + 0*f**2 + 5\/6*f**3. What is q(v(a))?\nAnswer: 40*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38 and 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 6*j**2 - 2. Let w be x(6). Let p be 34824\/288 + (14\/12)\/(-7). Let i = p + -121. Sort i, 6, w in decreasing order.\nAnswer: 6, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -134 (b) 19\/2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - -0.4. Let a = s + -0.4. Are -1 and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 483*r**2*y - 72*r**2 + 3*r*y - 2*r - 4249*y wrt r.\nAnswer: 966*y - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5976.794 nanoseconds?\nAnswer: 0.005976794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 8. Suppose v + 13 = 5*k + 43, 0 = -3*k + y*v - 18. Is (-23 - 1)*2\/k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 85 in -0.03, -425.54, -1\/4?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (146146\/(-3003))\/((-180)\/(-162)*3\/5)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -55.41 times -2.124?\nAnswer: 117.69084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 450, 445, 430, 399, 346?\nAnswer: 265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/1300 and 107\/650.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) 115.22064 (c) -0.3 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -99.08*-14.63\nAnswer: 1449.5404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6 - (2 + 3))*59. Let o = -57 + a. Solve 5*d = -3 - o for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53497\/10728 + -38\/1341. Calculate the common denominator of l and 55\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1843.\nAnswer: 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0981 to three dps.\nAnswer: 0.098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1987642?\nAnswer: 2, 993821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/11 (b) 0.18 (c) 0.3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -189*r**5 + 120*r**2 - 120*r**2 - r**4 + r**4 - r**5 + (2*r - 2*r + 2*r)*(2*r**4 + 1 - 1) - 8*r**5 - 7*r**5 + 0*r**5.\nAnswer: -201*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 53 = -n, 0 = -2*l - 6 - 2. Let w = 10 + n. What is the highest common divisor of 17 and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 143 and 17462852?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 3*g - 15, 2 + 1 = 2*w - 5*g. Let r be 2\/w - 9\/(-2). Solve 0*v + 0*v**2 - 2\/9*v**4 + 0 - 2\/9*v**r + 0*v**3 = 0 for v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of 0*c + 0 - 2*c**2 - 7\/24*c**4 - 3\/2*c**3. Suppose 0*i = i + 4. Let q(s) = -3*s - 4. Give i*p(k) + 9*q(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3*l + 4 = 22, -3*i - l + 16 = 0. Let p(o) = -2*o + 12. Let s be p(i). Suppose -s*u = -7*u - b + 93, u - 13 = -3*b. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + t + 1091 = -y, -2*t + 718 = 4*y. Suppose -117 = -10*q + t. What is the remainder when 188 is divided by q?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -27, 8, 4537, -1, 2 in decreasing order.\nAnswer: 4537, 8, 3, 2, -1, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -5*f + 3. Let v be l(3). Let q(i) = -i**3 - 13*i**2 - 15*i - 11. Let z be q(v). Round z to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*g = 3*g - 7*g - 1692 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.6 + 6. Suppose 7 = 4*i - 9. Which is the third biggest value? (a) s (b) i (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 7:02 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a gram in milligrams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 252725230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*g**2)*(-67 + 7*g + 67) + 7*g**3 - 2*g**3 - 14*g**3.\nAnswer: -23*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 741873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 - 4*p**2 + 2*p**2)*(-2*p - 2*p + 5*p) + (3 - 1 - 1)*(3*p**2 - 4*p**2 - p**2)*(-40*p + 29 - 15 - 16).\nAnswer: 77*p**3 + 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/28 and -65\/2562.\nAnswer: 5124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 7. Let d = i - -10. Solve 2*n + 3 = -d for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + v + 3. Let r(d) = 4*d - 1. Let n be r(1). Let m be j(n). What is the units digit of -20*m\/(-2 - -8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in 2\/7, 2\/3, 5, 755, 1\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1498 is divided by 101?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -0.0405892?\nAnswer: -0.0811784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = 2*c - 119. Does 18 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 162 = -44. Let n(i) = i**2 - 3*i + 3. What is the remainder when m is divided by n(-4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w. Suppose -14 + 6 = 4*i, 5*k - 2*i = 29. Let g(y) = -34 - k*y + 34. Determine t(g(s)).\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -23351824, -46703652, -70055480, -93407308, -116759136?\n\"Answer: -23351828*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -99.237 - -1.237. Let z = -0.01 - 0.09. Which is the closest to z? (a) n (b) -2 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*((-7)\/(-2) + 0). Let l(f) = 8*f - 2*f**3 - 3*f**2 + 3*f**3 - 5*f - 3*f**2 + b. Suppose -2*w - 2*z = w - 23, 4*z = w + 11. Give l(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404006 times -2?\nAnswer: -808012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -85.6 - -85.2. Sort 148, 0, f.\nAnswer: f, 0, 148","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210\/(-27)*384\/(-896).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 2*m - m**2)*(-m + 0*m + 3*m) - 14528*m + 5*m**3 + 14528*m + 5*m**2 - 2.\nAnswer: 3*m**3 + 5*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4140 + -10241?\nAnswer: -14431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 750113 and 364?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 + 44. Suppose 4*d - h = y, 3*d - 2*y - 2*y - 16 = 0. Suppose d*k - 75 = 137. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 0*z + 6*z**2 + 2\/7*z**3 + 0 = 0.\nAnswer: -21, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-7\/2))**(-3\/4)\/(z**(2\/37)\/z**(-36)))**(-2\/7) assuming z is positive.\nAnswer: z**(10117\/1036)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 4:54 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 62*k**3 + 82*k**3 - 23*k**3 - 117*k**3 as d*k**3 + l*k**2 + a*k + u and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 7482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, w: 16}. What is prob of picking 2 n?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 43388 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-1\/3))**(-47)*(s**(-2\/7))**(-6\/11))**28)**11 assuming s is positive.\nAnswer: s**(14620\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v + 2. Let w(x) = -2. Let t(p) = 2*b(p) + 3*w(p). Let i be 4 - ((-6)\/6 - -5 - -7). What is t(i)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -307 in 1\/5, 31\/5, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 less than or equal to -248\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 6*w + 9. Let x be t(6). Find the second derivative of -x*d + 3*d - 33*d**2 + 42*d**2 wrt d.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -2*l + l + 13, 3*l + 3*u = -36. Let r be l - -5 - 26\/(-12). What is the nearest to 1\/4 in -4, r, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -1\/2*d**4 + d**2 - 2 + 4\/3*d - 4\/9*d**3. Solve i(s) = 0 for s.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/7*-2 - (-11178)\/322. Suppose i*a = 13*a + 22308. List the prime factors of a.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3*k = 89, 3*k = -19*f + 24*f + 115. Sort 5, f, -0.3, 1\/4 in descending order.\nAnswer: 5, 1\/4, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2 + 1575*w + 3162.\nAnswer: -3*(w - 527)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a year in months?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*g, g + g + 4 = -5*i. Let f be (0 + 6)*(-4)\/(-12). Suppose f*w = -i*w. Which is the smallest value? (a) 2 (b) 0.4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = f - 0*p + 14 - 13 + 8, -61*f + 2*p = 303 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/36*-18 - (-1)\/((-1)\/12)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*t - 35. Let u be (t\/12)\/(-3) - -2. Let c(o) = -o**2 - 9*o - 9. Let v be c(-8). Which is bigger: v or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -5079\nAnswer: 10158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -9\/202049?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/112564 and 41\/944.\nAnswer: 26565104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**2 - 4*t + 2. Let v(m) = m - 4. Let p(u) = 0*u - 2*u - 4*u + 0*u. Let s be p(-1). Let n be v(s). Determine x(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 2218952.\nAnswer: -1\/1109476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -652*r + 1257*r - 632*r - 27 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -3 - 3*12\/(-36)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s**2 + 3*s**2 + 3*s**2 + (2*s + 2*s - 2*s)*(-2*s - s + s) + 189 - 93 - 8*s**2 - 89 - s**2 + 4*s**2 + 0*s**2 + s**2 + 4*s**2 - 7*s**2.\nAnswer: -10*s**2 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*q + 44 = 0, 6*p = 5*p - 2*q - 14. Let i = 3.5 + -4. What is the biggest value in -1, i, p, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66845 by 13369.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-130))\/(((-12)\/(-20))\/(-1 - 0))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2323*u. Let q(r) = -3*r**2 - 8*r. Give q(h(n)).\nAnswer: -16188987*n**2 + 18584*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 0*l**2 - 8*l**2 - 2 - 2*l - l - 38*l**3 - 28*l**3 + 65*l**3. Calculate k(-7).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/159, -0.04, 3, 0.3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - r = -10, 0*l = l + 2*r - 5. Let z = 14 - l. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p - 4*p + p + (4 + 2 - 4)*(-2*p - 4 + 4) + (5 + 1 + 3)*(-48*p + 62*p - 109*p).\nAnswer: -860*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*x**4 + 4*x**2 - 2*x + 154 wrt x.\nAnswer: 396*x**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p**2 + 32*p + 11. What is l(-10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2505 divided by -835?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s - 1. Let z be y(6). Suppose x + z - 10 = 0. Let i(n) = 3*n + 5. Let w(g) = 3*g + 6. Let f(l) = -7*i(l) + 6*w(l). Give f(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4*(-1 + (-20)\/(-15))*3. Does 25 divide -1 + 382\/a - (-111)\/(-74)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a century in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 8:47 PM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12517, -12489, -12441, -12373?\n\"Answer: 10*a**2 - 2*a - 12525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n**5 - 1485*n**4 + 145570*n**3 - 5848010*n**2 + 90580425*n - 468492505 = 0. Calculate n.\nAnswer: 13, 61, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f - 58. Calculate g(19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 334?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2*q - 48, 0 = -3*b - 3*q + 4*q + 26. Suppose 3*y - 14 = 2*g, -2*g + b = -y + 4*y. Solve 0 = w + w - y for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 10:03 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y - 3. Let o be q(-3). Suppose -3*p = -o*p - 72. Is p a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2979000 to the nearest one hundred thousand.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of 0*r**6 + 3\/70*r**7 + 0 + 0*r - 7\/2*r**3 - 19*r**2 + 0*r**5 + 0*r**4. What is the derivative of j(k) wrt k?\nAnswer: 36*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n**2 + 2*n - 3. Let d be r(-2). Suppose 2 + 8 = d*l. Find the third derivative of 356*c**2 - c**5 - 14*c**5 + 2*c**5 - 352*c**l wrt c.\nAnswer: -780*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = -5*w - 2*p - p, 2*w = 4*p - 44. Let d be (-6)\/(-2 - -5) - w\/10. Which is the third biggest value? (a) -3 (b) d (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143955 is divided by 941?\nAnswer: 923","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*i**2 - 146*i**2 + 84*i + 27*i**2 - 84*i + 59*i**2.\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 67267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1114027257.\nAnswer: 3, 7, 29, 149, 12277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 13*z**2 - 2*z + 8. Let a be l(2). Let j be 16\/a - 86\/7. Let f be (-13)\/18 - j\/24. Is f bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of k**6\/120 - k**5\/5 + 6*k**2 - k. Let t(m) be the first derivative of c(m). What is the third derivative of t(r) wrt r?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-70137)\/19950 - 0)\/(420\/350). Let h = r + 97\/140. Find the common denominator of h and (-1)\/((-9)\/(-79)*2).\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 + -0.4. Let y = r - 4. Let l be 15\/(-75) + 2\/(-120)*-2. Which is the nearest to -1\/3? (a) 2\/3 (b) y (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -9, 1, 55 in increasing order.\nAnswer: -9, 1, 2, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 358175532?\nAnswer: 2, 3, 11, 13, 47, 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 584 - 556. Suppose 0 = -3*w + 5*m + 25, 5*m + 4 = -2*w - 21. Let o(p) = p**3 - p + 83. What is the remainder when o(w) is divided by i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t\/t**(9\/8))*t*t*t\/(t*(t**(-3\/16)*t)\/t) assuming t is positive.\nAnswer: t**(53\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 6*g. Let f(t) = 3*t - 4. Suppose 10 = 5*k - 0. Let d be f(k). Let z(m) = -2*m - 2*m + m + d*m. Calculate z(u(i)).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 9*c + 1015 = 209*c, 2*a - 3*c = c + 10 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 5912425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Is -3796\/5 > -758?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 2:59 PM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3814683284 to the nearest integer?\nAnswer: 61763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 68 - -24?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 15664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t - 3*t - 12*t - 8*t + 19*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13292 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7080 and 968.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -636 - -645. Which is the biggest value? (a) -1\/5 (b) 19 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/5, 1.1, 5\/3, 770.6?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-1))**(-2\/9)*g*(g*g**5\/g)\/g*g**(4\/3)\/g)**20)**(-4\/19) assuming g is positive.\nAnswer: g**(-4000\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -0.04 (c) -3 (d) 54\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -2) + (6 - (-1 - -5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 8. Let p = -16\/13 + 54\/65. Let l = -0.2325 + 0.5325. Which is the nearest to 3\/2? (a) l (b) z (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 2:27 PM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4361 minus -0.5?\nAnswer: 4361.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*(-3 + -4*sqrt(6)\/sqrt(3) + sqrt(2)))**2*3.\nAnswer: 7776*sqrt(2) + 11664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2566756 to the nearest integer?\nAnswer: 1602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is aca4 + 1?\nAnswer: aca5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p - 4*x + 6, 2*p + x = 5*p + 14 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(68)\/sqrt(4) + sqrt(153)\/sqrt(81).\nAnswer: 16*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 21*x - 51. What is s(23)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 150 + -12. Suppose -2*l + k = 84. Calculate the remainder when 106 is divided by l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 37, 5 in ascending order.\nAnswer: 0, 3, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 10) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-2)*2*-1. Let v be 5\/(-2)*(-4 - -6). Let r = -5 - v. Sort r, -1, u in descending order.\nAnswer: u, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-6))\/((-2)\/111). Suppose 2 = -2*y + 3*o - g, -y = -3*o + 27. Let s = 22 + y. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -816*x + 159882. Determine m(196).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 125\/3 - 106\/3*q**3 + 290\/3*q**2 - 1\/3*q**5 - 325\/3*q + 17\/3*q**4 = 0. Calculate q.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -301887330 by -3.\nAnswer: 100629110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.173 + 0.173. Is i not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14096171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2886910363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 34*z + 15. Determine h(-31).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3827, 5319, 6805, 8285, 9759, 11227?\nAnswer: 12689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2595*w - 215377. Determine q(-83).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52910231 is divided by 762.\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 5:36 AM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 464, 416, 368?\n\"Answer: -48*d + 512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166006.\nAnswer: 2, 83003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/10*(-10)\/(-14). Let r = -0.18 - 1.82. Which is the closest to r? (a) 2\/7 (b) z (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 6 + 1 = 0. Suppose 4*d = 3*d - 3. Put 4, k, d in decreasing order.\nAnswer: 4, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 11*n**2 - 31*n**2 - 2 + 30*n**2 as b*n**2 + l + r*n and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**3*r**(-32))**(2\/61) assuming r is positive.\nAnswer: r**(-58\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by 4\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jee when three letters picked without replacement from jjdnjerdjnerier.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -11. Let b = x + -3. Let z = 0.4 - 5.4. Sort z, b, -2 in descending order.\nAnswer: b, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -14*q**2 - 3. Let n(j) = 9*j**2 + 22*j + 2 - 22*j. Calculate 8*n(d) + 5*t(d).\nAnswer: 2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 49*f - 53*f - 9, 3*f = -4*u + 17 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 216 - 361. Let c = t - -266. Is 16 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of c**8\/2800 + 9*c**7\/1400 - c**6\/600 - 9*c**5\/200 + c**3 + 3*c**2 - 1. Let g(i) be the first derivative of a(i). Factor g(t).\nAnswer: 3*t*(t - 1)*(t + 1)*(t + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooop when four letters picked without replacement from ooooopopopoo?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -57.25\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12.08 - 11.1. Let o = 0.78 - a. What is the second biggest value in 2\/9, -1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.087 in -1, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/1*28\/(-52) - 2\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*v - 8*v**2 + 0*v**2 - 15*v - 3*v**2.\nAnswer: -11*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 238 - 237.99891. Round s to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -743, -1484, -2225, -2966, -3707, -4448?\nAnswer: -5189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -7*r + 94. Let v(n) = 882*n - 2630. Let s be v(3). Calculate k(s).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n + 1. Let b be u(1). Suppose -10 = -b*x - 5*s, s - 38 = -8*x + 4*x. Is x\/(-45) + 1\/(9\/12701) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6229.382ml to litres.\nAnswer: 6.229382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) - (sqrt(204) + 4*sqrt(204))*4) + sqrt(204)*3*-4)\/(3*((sqrt(600) - (sqrt(600) - sqrt(600)*1) - sqrt(600)) + sqrt(600))\/sqrt(2)).\nAnswer: -31*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/2)\/(1*1\/10). Suppose -15 - 5 = -o*h. Solve 4*w + 2 = 5*t - 18, h*w - 4*t + 16 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -114 + -2 + (1 - 0). Let r = i - -59. Let v = r + 81. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7273608 to 2 dps.\nAnswer: 0.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3*j - 303, 0 = -y + 6 - 3. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -482\nAnswer: 3\/482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 47 - 3 - (52 + -3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/164 and 53\/152.\nAnswer: 6232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 33*d + 51. Let c be l(12). Suppose -3*m - 450 = -c. Put -4, 3, -3, m in increasing order.\nAnswer: -4, -3, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/8)\/(k\/((k*k**(-2\/5))\/k*k)))\/(k**(-4)\/(k\/((k\/(k**(-2\/9)*k))\/k))) assuming k is positive.\nAnswer: k**(1981\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1652\/590*2\/7)\/12?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 1, 5, -28, -1, 9 in descending order.\nAnswer: 14, 9, 5, 1, -1, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 499298*w + 5631*w**2 - 499298*w + (w**2 - w**2 - 2*w**2)*(4 - 2 - 4).\nAnswer: 5635*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 10*a + 4*h = -10268, -3*h - 13700 = -4*a. Let y = a + -157. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or -21553304?\nAnswer: -21553304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6007 - 1?\nAnswer: 6006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10027 times -0.4\nAnswer: -4010.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.83355 litres to millilitres.\nAnswer: 67833.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -697*x**6\/60 + x**5\/30 - 67*x**3\/6 - 85*x**2 + 17*x. Find the third derivative of b(d) wrt d.\nAnswer: -8364","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -5. Let q(r) = -r**2 - 15*r + 126. Let z be q(-21). Suppose -5*g + 8 = 4*f - 11, z = -2*g + 3*f + 3. What is the remainder when w is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 108*v**2\/7 - 1023616*v\/7 - 10832.\nAnswer: 4*(v - 9478)*(27*v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6113037161 + -0.08.\nAnswer: 6113037160.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30779990?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 524379 and 27730.\nAnswer: 309383610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -83 - -82.8. Let l = -382 + 381. Which is the second biggest value? (a) v (b) l (c) 38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((35\/(-14))\/(-5))\/((-2)\/(-8)). Suppose -4*y = -5*o + 630, -2*y = u*o + 2*y - 280. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 127880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49 + 71. Suppose 0 = -3*r - a + 4. Is 206\/4 + 3\/r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**5 + 2*d**2 - 2*d**2 + (-4*d**3 + 0*d**3 + 2*d**3)*(-d - d**2 + d).\nAnswer: 3*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5793.0877 rounded to the nearest ten?\nAnswer: 5790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.23255*-9.06.\nAnswer: -11.166903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -63, -123, -183, -243, -303, -363?\n\"Answer: -60*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*v = -140 + 141. Sort v, 1, -5, -3, 5 in increasing order.\nAnswer: -5, -3, v, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 2)*(-785*u**3 - 277*u**3 - 2782*u**3) to f*u + x*u**3 + q + j*u**2 and give x.\nAnswer: -11532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g + 1535. Let p(l) = 86*l. Calculate p(c(q)).\nAnswer: 86*q + 132010","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 194 and 37442?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**2 - 15*u - 3. Calculate the remainder when 41 is divided by k(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34178, 137694, 310552, 552752, 864294?\nAnswer: 1245178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -60*s**4 + 2*s + 59*s**4 - 2*s**2 + 3 - 1 in the form m*s**2 + a*s**4 + o*s**3 + u*s + p and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ubkkkuubkuub. What is prob of sequence kk?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*c + 22*c + 8. Suppose h - z - 2 = -c, 2 = z. Is 51 a factor of h\/10 - 6594\/(-35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1491 and 1466292.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/(-6))\/(10\/15). Suppose -s - f + 4 = 0. Suppose 17 = -s*v + 71. Calculate the remainder when v is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -154, 15, 3, -2 in ascending order.\nAnswer: -154, -2, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 6*d**3 + 7 - 4*d**3 - 19*d**2 - 1 + 4*d. Let n be r(13). Suppose -3*b + 3120 = 2*b - 5*m, -2*b + n = 5*m. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -l**5\/270 + 61*l**4\/36 - 182*l**3\/27 - 3057*l**2. Find c, given that x(c) = 0.\nAnswer: 1, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -21*y + 68. Let f(w) = -w + 5. Let d be f(3). Let z be 0\/(4 - (y - d)). Solve z*h + 2*h - 3*t = -20, 0 = 5*t - 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in 4, -39, 1\/2, 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + -82.82.\nAnswer: -86.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 11770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -10\/21 (c) -3\/259 (d) -3\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 166.604 times 1.35\nAnswer: 224.9154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37941 divided by -2.\nAnswer: 37941\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-4)*(-12)\/3*((-28)\/2310)\/(-2).\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 76 + -71. Let m(f) be the third derivative of 0*f + 0*f**l + 0 - f**2 - 1\/6*f**3 - 1\/70*f**7 + 0*f**6 + 0*f**4. Differentiate m(n) with respect to n.\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 5*c - 155, 14*p - 2*c = 16*p + 106. What is the nearest to 0.1 in 0.5, -3, p?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100 and 6275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*v - 5*l + 45 = 0, 2*v + 15 = 5*l. Calculate the remainder when (3 + 57)*(-4)\/v is divided by 53\/4 + 1\/(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -s**3 + 0*s + 5905*s**2 - s - 9*s**4 - 5894*s**2 wrt s.\nAnswer: -216*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**2 + 0 + 1 + 10*t**2 as p*t + n*t**2 + o and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w - 8*w + 2*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 take away -8.268?\nAnswer: 153.268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -636*l = 3*u - 640*l + 17, 0 = 2*l - 16 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -464*r + 233*r + 233*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(900) - sqrt(900)*4)\/(2*-3*sqrt(12)) - ((-1 + sqrt(108))*-4 - -3*(0 + sqrt(108) - sqrt(108)))*6)**2.\nAnswer: -7032*sqrt(3) + 259851\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 6:41 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/478 and -21\/921218.\nAnswer: 220171102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, g: 2}. What is prob of picking 3 p and 1 g?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6 - (-198)\/8)*4\/(-13). Which is smaller: -5 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - -6)\/(0 + 1). Let l(v) = 4*v**2 - 3*v + 2. Is 12 a factor of l(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1798.551 to 0 dps.\nAnswer: 1799","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - s**2 - 5)*((0 + 4 + 9)*(3*s - 3*s - 2*s) + 2 - 2 - s + (-3 + 2*s + 3)*(4 - 4 + 1)).\nAnswer: 25*s**3 + 50*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -675272 divided by -6\nAnswer: 337636\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*v + 3*w, 5*w + 0 = 5. Let u be (-12)\/10*v\/3. Let j(i) = -27*i + 485. Let k be j(18). Which is the nearest to k? (a) -0.01 (b) 4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + -3. Let k = 3.5 + 0.5. Let v = -8 + k. What is the second biggest value in z, v, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*sqrt(605) + 1.\nAnswer: 1 + 22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 4 - 59169*t**3 - 164341*t**3.\nAnswer: -223510*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1110 + -3009. Let d = c - -3364. Suppose -5*s = 5*n - d, 3*s - 2*n = 3*n + 879. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 8. Suppose 2*l + c = 6*l. Suppose 0 = 4*z - 2*z + l. Does z = 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -c - 12, 0 = 2*n + 4*c + 43 - 17. Let a(v) = -v**3 - 12*v**2 - 12*v - 13. Let f be a(n). Sort f, 5, 2 in increasing order.\nAnswer: f, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 4*w = 72. Let o = w - -34. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.785 + 0.015. Let t = f - -19.2. Let x = t - 24.9898. Round x to three decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u + 223 = -4*v + 247, -v - 7 = -4*u for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2847872580 to the power of 1\/2, to the nearest integer?\nAnswer: 53365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c - 148. Let m(z) = z + 147. Determine -7*m(r) - 6*o(r).\nAnswer: -r - 141","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 549\/4 - 138. Which is the nearest to 0? (a) 6 (b) s (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((83\/(-830))\/(3\/(-24)))\/((-2)\/40).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 32*k - 222. Give u(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 26487798.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19278\/(-45))\/(-14)*(1235\/(-57))\/13.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -110 + 195. Let f(c) = -c**3 + 8*c**2 - 5*c + 4. Let t be f(3). Calculate the greatest common factor of t and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - s + 4*s - 1567 = 0, -4*a - 3*s = -1253. Suppose 607 = 11*p - 548. Calculate the remainder when a is divided by p.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -113 and -106 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - 2*j - 48. Let r be p(8). Solve r = 6*v + 3 + 15 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 63 and 7154?\nAnswer: 64386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 231*q**6 - 54*q**4 + 5*q**2 + 148*q + 2.\nAnswer: 27720*q**3 - 1296*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-119)\/(-17)*3\/6*-2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 3*k**3 - 2 + 18*k**3.\nAnswer: 21*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 7:15 PM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = x + 14. Let t = 0 - 1. Let o be 2 - (-152 + t + 1). What is the highest common factor of x and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 1)*(-4 + 3 + 2)*(-2*a**4 + a**3 - a**3).\nAnswer: -6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6821?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 5*d + 800, -45 = 4*d - 5*b + 595. Let i = d - -270. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21 and 7.2919?\nAnswer: -153.1299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -3 (c) 23\/3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (93*f - 35*f + 33*f)*(-7 + 3 - 1)*(1 - 1 + 2*f).\nAnswer: -910*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 21 - 2?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -215*d**3 + 9*d**2 + 5*d + 5. Let l(p) = -2*p**2 - p - 1. What is -a(f) - 5*l(f)?\nAnswer: 215*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -1, -0.4, -1\/6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3139 + (6\/(-4))\/((-2)\/(-4)). Find the common denominator of 1 + 18\/(-22) - x\/264 and -67\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15 * -128.8.\nAnswer: 1932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 - -112 - 107 - (-7 - 2)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 28 = -4*y - u, -2*u = 3*y - 21. Find the third derivative of 8*a**2 + 12*a**2 + y*a**5 + 19*a**5 wrt a.\nAnswer: 1560*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -98*t**5 + 38822*t**4 - 4035126*t**3 + 37427234*t**2 - 38850128*t + 10727712 = 0.\nAnswer: 4\/7, 9, 193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155478 is divided by 22201?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8652164 nanograms to tonnes.\nAnswer: 0.0000000000000008652164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -29\/2, -2\/7, 0.4?\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21.13419 milligrams?\nAnswer: 0.00002113419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -76 or -78?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(-3 - 3 + 3)*(c - 6*c + 2*c).\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, i: 6, s: 3, l: 1}. Give prob of picking 1 i and 1 l.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1.8 - -1029477600806\nAnswer: 1029477600804.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**3 + o**3 + 4*o**3.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(5\/(10\/1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s**3 + 19*s**3 - 4*s**3 + 11*s**3.\nAnswer: 33*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -683*v**3 - 488 - v + v - 191 with respect to v.\nAnswer: -2049*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2*-3*sqrt(170)\/sqrt(10)*3 + -5 + 6*(sqrt(1377) - (sqrt(1377) + -1)) + sqrt(1377)))**2.\nAnswer: -648*sqrt(17) + 49608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -7171631\nAnswer: 2\/7171631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -382854, -765874, -1148894?\n\"Answer: -383020*x + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(5))*4 - -5*sqrt(15)\/sqrt(3) - (2 + (sqrt(30) - sqrt(30)*1)\/sqrt(6)) - (-2*sqrt(315)*-2)\/(-2*(sqrt(14)\/sqrt(2) + sqrt(7))))**2.\nAnswer: -48*sqrt(5) + 724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3645 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 160 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = p + 33, 5*p = 2*f + 63 - 24. Let j be (-2 + 14)\/1 + (-12 - f). Suppose j = -4*g + 5*g. Solve -7*x - g = -3*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3 - 28*b**2 + b + 2 + b. Let y be w(-3). Let g = -132 - y. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -967.355 to zero dps.\nAnswer: -967","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b6 - 282b5?\nAnswer: -285ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5992 - 5993.4984. Round t to one dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-27)*3)\/(7\/(-42)). Let u(b) = -b. Let x be u(-3). What is the closest to 2 in x, r, 0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26a76 (base 11) to base 14\nAnswer: -100a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 585219, 585077, 584935, 584793?\nAnswer: 584651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 669 = 124*o - 571 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229657*c + 229660*c - 918642*c - 6 + 229661*c + 229658*c.\nAnswer: -6*c - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/4)*r)**(-1\/7))**11 assuming r is positive.\nAnswer: r**(-33\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 16*b**2 + 4*b - 10. Let v(i) = 6*i - 8. Let s be v(4). Let h be k(s). What is the tens digit of h*4*4\/48?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101000101 (base 2) to base 3.\nAnswer: -110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -572743.1 rounded to the nearest one hundred?\nAnswer: -572700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 215 times -45.8\nAnswer: -9847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -6*g - 33. Suppose 15*t + 98 = -157. Let v(b) = -2*b - 11. Give t*v(a) + 6*r(a).\nAnswer: -2*a - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.4 at most -174?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -3*i + 6, i = 2*i - j - 2. Let f(p) be the second derivative of -13*p**3\/6 + 2*p**2 + p. Let m(v) = 3*v - 1. Give i*f(k) + 9*m(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 51 - -5?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 80\/3*p**3 + 64\/3*p + 368\/9*p**2 + 32\/9 + 50\/9*p**4 = 0. Calculate p.\nAnswer: -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.6 + 1.3. Let k = -184.440048 - -185.74. Let w = k + l. What is w rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 g when three letters picked without replacement from {g: 13, n: 3}.\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26088372 and 24.\nAnswer: 52176744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 235.0164 rounded to one dp?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 696175572 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in six fifths of a centimeter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3846 + -1209. Calculate the smallest common multiple of b and 36.\nAnswer: 10548","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3052, -6094, -9134, -12172?\nAnswer: -15208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 5*i**3 - 2*i**2 - 4*i + 7. Let l(m) = -23*m**3 + 11*m**2 + 21*m - 34. Let n(c) = 2*l(c) + 11*w(c). Differentiate n(h) wrt h.\nAnswer: 27*h**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18 + (-3)\/(-1) + 2?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73, 80, 99, 136, 197, 288, 415, 584?\nAnswer: 801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*v**4*y**2 - 15*v**4 + 156*v**3*y + 7*v**2 - 1416*v*y**2 wrt v?\nAnswer: 48*v*y**2 - 360*v + 936*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hrr when three letters picked without replacement from {a: 2, q: 5, h: 2, o: 1, x: 2, r: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -2. Let v be p*1\/(-3) + 1. Which is smaller: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269 is divided by 67.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -16*((-1)\/3 + 5\/(-12)). Let g(i) = 10 - p - 3*i + 1. Give g(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 * -857854\nAnswer: -5147124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 84117762 by 69.\nAnswer: 1219098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 373*r - 5966. Let o be k(16). Which is the smallest value? (a) -29\/6 (b) 44 (c) 5 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r**3 - 2*r**2 + 2. Let q(t) = -916*t**3 + 6*t**2 + 2*t + 15. Let c(a) = -q(a) - 3*w(a). Find the second derivative of c(y) wrt y.\nAnswer: 5442*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 68438366 to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + (-1 + (1 + sqrt(931) - sqrt(931)))*2) + 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q - q - q + 0*q - 4*q + q + (0*q - 2*q + 0*q)*(4 + 3 - 5) + 2*q - 2*q - 2*q + (2*q + 0 + 0)*(-2 - 1 + 1).\nAnswer: -15*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 - 11132*n - 22256.\nAnswer: -2*(n + 2)*(n + 5564)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (-122 + 89 - -83).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/7*(-223)\/(-446).\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 - 8\/((-32)\/(-20)). Is z at least as big as 8\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3\/5, 0.0121, 0.01, 2\/19 in descending order.\nAnswer: 2\/19, 0.0121, 0.01, -3\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290355 is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2730)\/75075 + (-717)\/(-55).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/2)*q)**35*(q**(-5)*q)\/(q\/(q*q**6*q)))**39 assuming q is positive.\nAnswer: q**(4329\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -310 divided by -8?\nAnswer: 155\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(44) + -3 + sqrt(11)*-1 - sqrt(77)\/(sqrt(847) + -2*sqrt(847)))**2.\nAnswer: -72*sqrt(11)\/11 + 243\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 445850 a multiple of 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -5, -464, -2 in descending order.\nAnswer: 2, 1, -2, -5, -464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3, 3\/2, 0.103, 4\/9, -38, -0.02?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3264 to 2 dps.\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1323687 rounded to the nearest 10000?\nAnswer: 1320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0.3 (b) 17 (c) -3 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-16))\/b)**46\/(b**13*(b\/(b\/(b\/(b\/b**29))))\/b) assuming b is positive.\nAnswer: b**(-777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296453 is divided by 90?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -2*g + 156. Is 26 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/7 + 11*k**2\/7 - 19*k\/7 + 9\/7.\nAnswer: -(k - 9)*(k - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*x = 3*g - 19, -3*x = -6. Let w(o) = 2*o**2 + o**3 - g*o + 6*o**2 - 3*o**2. What are the prime factors of w(-5)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) 0.239 (c) 0.606\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 1726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -3*o**5\/80 + 15*o**4\/16 - 63*o**3\/8 + 147*o**2\/8 - 21*o + 1. Find z such that a(z) = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(192)*-3 + sqrt(192))**2.\nAnswer: -3840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5061447 a multiple of 393?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 188, 687, 1456, 2453, 3636, 4963?\nAnswer: 6392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 102 - 32. Let y = o - 65. Suppose 2*s + v - 72 = -3*s, 4*s = -y*v + 45. Solve -a + 5 = -5*j - 5*a, 2*j + s = a for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 9\/10 of a micrometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*g**2 - 5*g**2 + 4 + 3*g - 3*g to the form w*g + s + z*g**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4667005.0159 + -4666783. Let u = 222 - b. Round u to three dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1760276 and 497804.\nAnswer: 5132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*y - 1376 + 10001 = -662*y for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 32, 4\/9, 1\/8, -3\/7?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and -14683689367.\nAnswer: -14683689367.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(8\/7)\/(r*r\/(r**17\/r))*(r**(-2)\/r)**(-41) assuming r is positive.\nAnswer: r**(967\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2833274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16620 to the power of 1\/2, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12668 is divided by 3163.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -625*s - 545*s - 33*s + 393*s - 285*s.\nAnswer: -1095*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -1223*c + 10258. What is f(11)?\nAnswer: -3195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(90\/48)*5\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.24 + 0.24. Sort -2, -4, y in descending order.\nAnswer: -2, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c - c - c)*(2 - 5 + 1) - 3*c - 5*c + c - 1 + 1 + c + (3*c - 2*c - 2*c)*(0 + 3 - 1) + 8*c - 11*c + 2*c - 9 to k + h*c and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9295201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of -7\/2*c**2 + 263 + 0*c. Let v(s) be the second derivative of s**4\/6 - s. What is v(w(i))?\nAnswer: 98*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence evny when four letters picked without replacement from {n: 6, j: 3, y: 4, v: 3, e: 3}?\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/96256 and -75\/125536.\nAnswer: 377612288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -207403 in increasing order.\nAnswer: -207403, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, s: 5, r: 3}. Give prob of picking 2 s, 1 r, and 1 k.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3075952.\nAnswer: 2, 11, 17477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (5\/2)\/(2\/116)?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 256 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 16*z**2 - 12*z - 43. Let h be k(15). What is the closest to -0.2 in h, 0, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -6778?\nAnswer: -6777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -15*w. Let j be g(-1). Let m = 173 - 155. Let x = m - j. Solve x*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363*n - 4*x = -802, -89 = -3418*n + 3421*n - 5*x for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**5 - 4122*y**4 - 1400439*y**3 + 5647176*y**2 - 7076532*y + 2833920 = 0. What is y?\nAnswer: -738, -640, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1515, 3033, 4551, 6069?\n\"Answer: 1518*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 58852200 a multiple of 3300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*y + 112 + 116. Let x = y - -10. Let d(m) = -3*m**3 - 9*m**2 + 8*m + 17. Let j(f) = -f**3 - 2*f**2 + 2*f + 4. Determine x*j(p) + 2*d(p).\nAnswer: 3*p**3 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 27450 + -563?\nAnswer: 26776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -0*a + 2*a - 12, -12 = -3*z. Suppose 0 = r - 2*c + 25 - 305, -c - 1106 = -a*r. What is the remainder when r is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -19*b - 2. Determine j(-2).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, o: 3, m: 4, n: 1, q: 6}. Give prob of picking 1 o and 2 q.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h**5 - h**5 - h**5 + (-2*h + 4*h**5 + 2*h)*(1 - 1 + 2).\nAnswer: 10*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a*d**2*m - 172*a*d**2 - a*m - 16*a + d*m with respect to d.\nAnswer: -2*a*d*m - 344*a*d + m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -38*x + 21*x + 16*x. Let w be 20\/(-8)*1*2. Calculate n(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h + 0*h - 3*h)*(2 - 5 + 5) - 1 + 10*h - 5*h + 3 as f*h + u and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 356677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 122*i - 119*i + i**2 + 240*i. Let x be 0\/(1\/(-1)) - 0. Let p be s(x). Solve p = q + 3*q - 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -67 in 0.5, -3, 3, -0.2, 543?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2474*x + 26355*x - 7015*x)*(x**2 - 6*x**2 + 3*x**2).\nAnswer: -43628*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, -9632 in decreasing order.\nAnswer: 0, -6, -9632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183*f - 2316 = -895 + 3703. Suppose -h - 11 = -3*y + h, -2*h = 2*y - 4. Solve -y*l + 2*t = -2*t + f, -3*l + 8 = 5*t for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 3*r**3 - 2010*r**2 + 2007*r = 0.\nAnswer: 0, 1, 669","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.0523789 nanometers?\nAnswer: 0.0000000000000523789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/9)\/(5\/(-12)))\/(308\/(-122760)*31)?\nAnswer: -72\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - sqrt(3)*2*-3) + 1 + (sqrt(3) - (sqrt(12)\/sqrt(4))**2*4) + sqrt(48) + -1 + sqrt(3) + -4 + -4.\nAnswer: -20 + 13*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*a - 0*a. Calculate the greatest common factor of a and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/72*14\/21)\/(27\/36).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -u**4\/24 + 11*u**3\/6 - 8*u**2. Is 14 a factor of g(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 157 - 159. Is 24 a factor of (a\/10 - 12\/15)*-195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 676812.\nAnswer: 2, 3, 56401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 53502514 and 143?\nAnswer: 588527654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 4765?\nAnswer: 42885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d*d**10*d\/(d**11*d)*d)\/(d**8*d*d*d**(2\/23)) assuming d is positive.\nAnswer: d**(-163\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 457663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -207*m - 109. Let a be o(-2). What is the highest common factor of a and 244?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18\/5 in 10, -0.004, -2\/13, -5, -0.4?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1*d)**49*((d**6\/d)\/d)\/(d*d\/((d**(2\/19)\/d*d*d*d)\/d))*(d**(4\/3)*d)\/(d\/(d\/d**(1\/4)))*(d\/d**(1\/2))**(-1\/44) assuming d is positive.\nAnswer: d**(517537\/5016)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 94791947*z**3 + 3407*z**2 - 3*z - 784 wrt z?\nAnswer: 568751682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*g + 4 - 4)*(1 + 0 - 2) + 0*g - 2*g + 3*g + (2 + 0 + 0)*(6*g + g - 3*g) + 2*g + 0*g + 0*g as o + k*g and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1062 + 3?\nAnswer: -1058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5094763 millilitres to litres.\nAnswer: 0.0005094763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dii when three letters picked without replacement from {e: 6, v: 3, d: 5, i: 2, g: 2}.\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 417*k - 2164. What is the remainder when j(11) is divided by 202?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 8*b - 143. Solve 2*d - b = -19 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001042026 to 7 decimal places.\nAnswer: 0.0000104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -6 + -3 + 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.26 + 10.26. Let c = -9 + z. What is the smallest value in 0.2, c, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4219 + 10360 - 938 + 3183)*(6*u**3 - 4*u**3 - 3*u**3).\nAnswer: -16824*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 216 + 25378?\nAnswer: 25591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4\/55 - 299\/330. What is the closest to 2\/7 in v, -2\/11, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 941483351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-148)\/296 - 67\/6 - 42\/18.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2008283*f**6 + f**2 + 36*f + 35721 wrt f.\nAnswer: 240993960*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4 + (sqrt(11)*1)**2 + (sqrt(275) - (sqrt(275) + 1)) + sqrt(11) - ((4*sqrt(33)\/sqrt(3) + -3)*-5)**2.\nAnswer: -4611 + 601*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/(1\/156*13).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40268 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 4:05 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14226*k**2 + 35566*k.\nAnswer: -28452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.16 - 0.06. Suppose 5*x + 0*x - 5*y = 20, 2*y = x - 9. Is x less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4a52ca (base 14) to base 7.\nAnswer: -30446443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d. Let w(x) = -14 + 8*x + 8*x + 12*x - 33*x + 6*x. Give q(w(c)).\nAnswer: -4*c + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -88, -50574 in decreasing order.\nAnswer: 1, -4, -88, -50574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 110.1411 to 1 decimal place.\nAnswer: 110.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (9 - -3) + 0 - 5 - 4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -5\/12*l**4 + 0*l - l**2 - 29 + 0*l**3. Let o(i) = -i. Give o(q(y)).\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = -68*y + 180. Solve -10 = -y*u - 6*t + 4*t, 4*u = -2*t + 12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7678?\nAnswer: 2, 11, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**3 - 3*h**2 + 8*h - 15. Let j be f(2). Let g = -2090\/9 + 232. Which is the second biggest value? (a) -2\/19 (b) j (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -73 + 136*h + 1547*h + 73 as m + k*h and give k.\nAnswer: 1683","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 5 = -y. Let u(d) = -2*d**2 + 9*d - 4. Let o be u(4). Suppose a + 5*j + 20 = 4*a, o = -a + y*j + 5. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 426780.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 213*k + 943*k**2 + 2*k**3 - 942*k**2 - 3*k**3 + 1 - 2*k**3 to the form o + p*k + s*k**2 + r*k**3 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from nnnnnnnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 2*k - 20. Factor 44*d - 4*d**3 + k + 0 - 8*d + 10 - 4*d**2.\nAnswer: -4*(d - 3)*(d + 1)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -195*d**2 + 8*d - 16. Let b be v(12). Round b to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38080 and 3400?\nAnswer: 190400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -6*r**3 - 19*r**2 - 35*r - 17. Let b(s) = 21*s**3 + 66*s**2 + 123*s + 60. Let f(j) = 5*b(j) + 18*t(j). Let f(k) = 0. What is k?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3935*z. Let n(r) = 52*r**2 + 30*r. What is n(y(o))?\nAnswer: 805179700*o**2 + 118050*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17883 - -17883.00003064. What is l rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*0.07322.\nAnswer: 0.029288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/11? (a) -0.1 (b) 0.1 (c) -19\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 67 + -66.73. Let v = -0.23 - a. Let j = -1 + 1.1. What is the second smallest value in v, 3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 37*m = 35*m + 2210262, 2*m = 2*c - 2210254. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-4))\/(8\/(-16)). Suppose 0 = 3*p + 4 - b, -80 = -3*u + 5*p. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -69, -165, -299, -471, -681, -929?\nAnswer: -1215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - y**2 - y + 1. Let f(s) = 16*s**3 - 14*s**2 + s + 10. Let a(n) = -13*n**3 + 12*n**2 + n - 8. Let k(d) = 3*a(d) + 2*f(d). Give k(m) + 5*l(m).\nAnswer: -2*m**3 + 3*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y**2 + 2*y**2 + 4*y**2)*(-2*y + y + 4*y) to the form m*y + s*y**3 + j + u*y**2 and give s.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2786089*x**3 + 1037*x**2 + 5*x - 64.\nAnswer: 16716534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7469553 is divided by 3734766.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*g**5 - 132*g**4 + 696*g**3 - 1276*g**2 + 480*g = 0. What is g?\nAnswer: 0, 1\/2, 3, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44638 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 4*p**2 - 6*p**2 - p**2 - 8*p - 5*p**2 - 8. Calculate the least common multiple of b(9) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 301347 and 90.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 160344 and 38067552?\nAnswer: 647148384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 331470 and 762.\nAnswer: 331470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 316057 or 316102?\nAnswer: 316102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -19, -3\/2, -109416 in decreasing order.\nAnswer: -3\/2, -3, -19, -109416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47.9 - 147.9. Which is smaller: 2\/7 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6510380 is divided by 1261?\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (99\/(-231))\/((-50)\/150)?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 40*s**2 + 202*s + 71. Determine j(34).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -57 + 145. Let c = 40 + -27. Let n = c + -2. Calculate the greatest common factor of l and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -325 + 25 = -4*l. Let c be l*(-2)\/(-2)*-640. What is c rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -3098 (c) -0.2 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55\/(-352)*((-30)\/40)\/(60\/32)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9951 and 14?\nAnswer: 139314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000 - -100101111011?\nAnswer: 100101010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 6248279195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -232, 0.1, -7.7, 3, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 489804, 980356, 1470918, 1961496, 2452096, 2942724, 3433386?\n\"Answer: t**3 - t**2 + 490548*t - 744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 4*c - 5*c + (-1 - 1 + 0)*(-c - 2*c + c) - 2*c - 3*c + 6*c)*(c + 1 - 1).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1267 = 20*u - 987. Put 1, 21, u in decreasing order.\nAnswer: 21, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40 + -17 - 12 - (0 + 14)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 67981 and 233459?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16958\/5 + -3409. Let b = d - -17. Let z be (1\/(-20))\/((-4)\/(-10)). What is the closest to 1 in 1\/2, z, b?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/6123348 and 155\/1848?\nAnswer: 12246696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 3*x - 6. Let n be (9\/(-6))\/(0 + (-6)\/20). Determine t(n).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 11) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -421 + 597. Suppose -190*u + 784 = -s*u. Suppose 5*w - 27 = 3. Calculate the least common multiple of w and u.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -220644 + 1544512\/7. Factor -u*p - 10\/7*p**4 - 18\/7*p**3 - 2\/7*p**5 - 2*p**2 + 0.\nAnswer: -2*p*(p + 1)**3*(p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 10:19 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.227721063 to 2 decimal places.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - 0. Let t = -5 - v. Is 17 + -1 - (0 - t) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3532*354.31\nAnswer: 1251422.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - b. Suppose -1 - 3 = -i - s, b = -3*i + 5*s + 44. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 412, 1660, 3742, 6658, 10408, 14992?\nAnswer: 20410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c - 12*c + 2*c + 5*c + 2 - 10*c**2 to d*c**2 + i + s*c and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*f + 3*s - 3 = 0, 0 = 3*f - 2*s + 2. Solve f = 4*k - 9 - 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12.6 - -12.57. What is the closest to a in 0.1, 3\/8, -2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -3, -4*q + 134*d - 157 + 159 = 136*d for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 at most 96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69634*n + 1 + 69922*n - 139562*n.\nAnswer: -6*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 3*t + 7, 15 + 10 = 5*t. Suppose -k*p + p = -357. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 49 = 309. List the prime factors of v.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t + t**4 - 3*t)*(t + 2 - 2) + 5*t**5 + t**5 - 4*t**5 + (-105 + 43 + 36)*(0 + 3*t**5 + 0) - 2 + 2*t**5 + 2.\nAnswer: -73*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.5 - 4. Let a = 14.5 + x. Let l = a + -19.000005. Round l to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (245\/588)\/(2\/(-4)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9bb - -a?\nAnswer: -9b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*p + 81*p - 230. Let g = -1 - -3. Solve -g = -x - p for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*n = 12*n + 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1662846.392 to the nearest 10.\nAnswer: 1662850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f + 5. Let w(v) = 3*v - 9. Determine 7*s(l) + 4*w(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -26935167?\nAnswer: 26935168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4786, -23503, -54714, -98419, -154618?\nAnswer: -223311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-7)*4\/(-160)*(-175)\/(-35)*-16?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 8:45 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 167 + -162. Which is the nearest to 1? (a) 2 (b) -1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 19*d**2 + 12*d - 185. Calculate the remainder when y(-17) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58.3 - 58. Let n = 12.87 - -0.13. Let d = -12.7 + n. Are g and d equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 9*p + 45. List the prime factors of i(11).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.22 - -255947790\nAnswer: 255947790.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/2)\/(37\/(3219\/29))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uf when two letters picked without replacement from {b: 2, d: 6, a: 1, u: 3, f: 2}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 114143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -122?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - 3*u - 1. Let s be m(4). Suppose -4*y - y = -25. Suppose 1 = t + y*c, 5*t + s*c - 22 = 5. What is the greatest common divisor of 2 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 920.4802 litres to millilitres.\nAnswer: 920480.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*n - 4*n + 30*n - 15*n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 135 + 151?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -92 + 87. Sort p, 10, 0, -4 in ascending order.\nAnswer: p, -4, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -6.01. Let g = f + -4.99. Let n = g - -10. Which is greater: -1\/2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51564780 a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 1:41 PM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 7*q + 37*q + 15*q**4 - 9*q**3 - 69*q**2 - 9*q**4 = 0. Calculate q.\nAnswer: -3, 0, 1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2054*a*b**2*l + 28*a*b**2 - a*b*l + 33886*b*l wrt b.\nAnswer: -4108*a*l + 56*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6940943952 less than -0.2?\nAnswer: 6940943951.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*h = 201*h - 175 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1921 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 899 = -915. Calculate the remainder when 29 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-4)*j)\/(j\/(j\/j**(-3))))\/(j**4*j*j*j\/(j*(j**(3\/2)*j)\/j*j)) assuming j is positive.\nAnswer: j**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 5*b**3 - 2*b**2 + 1. Let f be (-6)\/12*(0 - 2). Let i be d(f). Let j = 4 + -4. Sort j, -3, i.\nAnswer: -3, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.02 - 0.12. Let h = -2 - -2. Let v = b - h. Do v and 2\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57 - 61. Which is greater: d or -8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3.06393 meters?\nAnswer: 3063.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31617 a multiple of 193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - f**2 + 3*f + 3. Let v be q(-2). Let c = v - -21. Is (c\/(-9))\/(2\/(-207)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/9)\/d**1*(d*d**(2\/5)*d*d)**(-13) assuming d is positive.\nAnswer: d**(-2024\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ch when two letters picked without replacement from zgwhwicgwwccgg.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(2*c**5 - c + c + 4 - 2*c**5 - 4 + (2*c**3 - 3*c**3 - c**3)*(2 - 2 + 2*c**2)) + 2*c**5 - 4*c**5 + 4*c**5.\nAnswer: -2*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - a - 144 = 0. Suppose 4*h - 52 + a = 0. Suppose 49*m = 32*m + 255. What is the remainder when m is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/6 + -1)\/(-1). What is the third biggest value in 0.3, u, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*w**3 - 29*w**3 - 2*w**3 - 3*w**4 + 2 - 3 + 2*w**2 as l*w**3 + i*w**2 + n*w + a + x*w**4 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 61893 or 1\/2?\nAnswer: 61893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 124075221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/7)\/p**(-2\/7)*p**(1\/3)\/p*p\/(p**(-8)*p) assuming p is positive.\nAnswer: p**(166\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/126 and -23\/9128.\nAnswer: 82152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/12)\/(-1*(-3)\/12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 8 + 120 = 0. Suppose -92 - v = -5*g. Let z(y) = 2*y**2 + 14*y + 10. Calculate the remainder when z(-10) is divided by g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**2 - 2552*g**3 + 2*g**2 + 2566*g**3.\nAnswer: 14*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3 + 375*w**2 + 2754*w + 2376.\nAnswer: -3*(w - 132)*(w + 1)*(w + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 227, 412, 597, 782?\nAnswer: 967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1162?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/4)\/(-6 + 1915\/320). Does 24 divide 1*3\/(-6)*q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-40)*(-2)\/(-10)*5?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 11*m**2 + 10*m - 14. Let p be i(-12). Let d(k) = -k**3 + 9*k**2 + 11*k - 3. Let q be d(p). Suppose -2*f + 11 = -5. Which is greater: f or q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 4*r + 2*m - 1, 3*r - m - 27 = 0. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58352965 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.565 - 105951.343193?\nAnswer: -105951.908193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3020, -13, 2 in descending order.\nAnswer: 3020, 2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76752, -153489, -230186, -306819, -383364, -459797?\nAnswer: -536094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1448 - 1448 - 43*v**2)*(3*v**3 - 4*v**3 + 0*v**3) + (-4*v**4 + v - v)*(-2*v + 3*v - 2*v).\nAnswer: 47*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 30, 71, 130, 201, 278, 355, 426?\n\"Answer: -q**3 + 15*q**2 + 3*q + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - -0.36597\nAnswer: 0.76597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01430365956 to 6 dps.\nAnswer: -0.014304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -14*8.09\nAnswer: -113.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 8:45 PM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (87*h + 263 - 263)*(-25*h**3 + 1 + 21*h**3 + 21*h**3 - 1) in the form k*h**2 + c*h**4 + r + n*h**3 + o*h and give c.\nAnswer: 1479","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2 - 6*t + 8. Let k(x) = 1131*x**2 - 1566*x + 2088. Determine -261*c(a) + k(a).\nAnswer: 609*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8 - (0\/(-3) + -1). Suppose -d = -2*s + 1. Let q(k) = k + 10. Is 15 a factor of q(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-24)\/11)\/((-36)\/198). Solve 9*y - b*y = -15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -62\/15 in 3, 2, 209?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -2 + -13 + -8 + 7.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(3\/5))**(-44))**(-23) assuming a is positive.\nAnswer: a**(8096\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-43 - -3) + 19 - (1 + -7)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -2. Suppose 3*j - 44 - 106 = s. Is j > 51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 78.531 + -0.3536.\nAnswer: 78.1774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 159751, 319475, 479155, 638767, 798287, 957691?\nAnswer: 1116955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 9:24 AM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -20 + (-14 - -29) + (-10 - 3)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2. Let c(h) = -2*h**2 + 68093*h + 30. Give c(p(t)).\nAnswer: -2*t**4 - 68093*t**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6949 + -0.05?\nAnswer: -1.7449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 5*q + 22. Let g be i(-4). Let c = 68\/3 + -22. Determine o so that 2\/3*o**3 + 0 + 5\/3*o**g - 5\/3*o**4 - c*o = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1114 * -12124.\nAnswer: 13506136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 3. Let o = k + 5. Suppose 0 = o*r - r - y - 14, 4*y - 4 = -3*r. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2152 and 74680856.\nAnswer: 2152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1403*l - 32*l**2 + 5*l**2 - 1405*l)*(-2*l**3 + 4*l**3 + 0*l**3 + (-3*l + 5*l**2 + 3*l)*(-4*l + 0*l + 6*l)).\nAnswer: -324*l**5 - 24*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*u = -71*u - 86*u - 440 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3411.946464 to 2 dps.\nAnswer: 3411.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0 - 3 = 0. Let w be (-2 - -5)\/(s\/(-4)). Suppose -3*v = -w*d - 167, 7*d - 2*d + 270 = 5*v. Is 17 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -755*a + h + 6 = -753*a, -4*h = 2*a + 14 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24\/(-16) - 10\/(-4). Suppose w = -4*w + 10. Suppose w*z + 0 = 16. Which is smaller: j or z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*3\/(-9)*0 + (23 - 6).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 9588479*-0.1\nAnswer: -958847.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 510\/19 (b) -3 (c) 7\/5 (d) 1 (e) 6\/11 (f) -0.2 (g) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 116*z**5 + 16*z**3 - 1496*z**4 - 197*z**2 + 1178*z**2 + 2959*z**4 - 1465*z**4 wrt z.\nAnswer: 6960*z**2 - 48*z + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*z - 760 - 989. Calculate the remainder when z is divided by 1\/(-2*2\/(-36)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 4*k - 3. Let s(n) be the third derivative of 0*n + 3\/8*n**4 - n**3 - 34*n**2 + 0 - 1\/20*n**5. What is -5*m(j) + 2*s(j)?\nAnswer: -j**2 - 2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 1. Suppose 3*n - 2*y + 62 = 0, -3*y = y + 8. Let s = 18 + n. What is the nearest to o in 0.1, s, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 25 = -3*y, 2*o + 15 = 5*o for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 12*i**2 - 2160*i + 4. Let r be y(180). Let s(d) = -2*d**2 - 5*d + 21. Let x(p) = -p - 1. What is r*x(f) - s(f)?\nAnswer: 2*f**2 + f - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c + 3*c + 5993*c**2 - 5988*c**2. Let t(a) = -3*a**2 - a. What is -8*t(b) - 5*w(b)?\nAnswer: -b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 461 = 111*m - 427. Solve -m*t - 90 = -122 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4419133 to the nearest integer?\nAnswer: 2102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 8:52 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 8693 = b, 0 = 4*b - 5*b - 4*i + 8658. List the prime factors of b.\nAnswer: 2, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + k + 3 = 0, 16 = 5*m - 5*k + 6. Let a = 5 + -3. Let l be a\/3 - (-16)\/12. Solve -l = z + m for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -2\/9, 5, -12.271?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6148.041l to millilitres.\nAnswer: 6148041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 956 + -105. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52197 times -0.04\nAnswer: -2087.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(-2 - -1)*-3. Let s = 0.75 + -3.07. Let g = 0.68 - s. Which is the closest to 3\/7? (a) g (b) 1\/4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102320 + 2011311?\nAnswer: 2120231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 5 = -4*f - 1, -f - 5*u = 15. Suppose f*i - 200 = -4*i. Let l = -17 + i. Calculate the remainder when l is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of -3\/4*t**5 + 5\/56*t**8 + 0*t**3 + 0*t - 4 + 0*t**6 + 0*t**7 - 2*t**2 + 0*t**4. What is the third derivative of a(s) wrt s?\nAnswer: 1800*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 13*b + 22. Let w be l(-12). Suppose -w*v + 208 = -33*v. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - 5. Suppose 12 = z + 2*z. Let w = z - c. Is 13 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a day in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1729 - -3381. What is the highest common factor of a and 295?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0.5 (b) -2\/13 (c) 0.9 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -5. Let j = -11.6 + -0.4. Let u = 12.4 + j. What is the third biggest value in g, u, -4\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 25, -33, 1 in increasing order.\nAnswer: -33, 1, 15, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -302206888*d**3 - 18*d**2 - 250344 wrt d.\nAnswer: -1813241328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 16*x**2 - 17*x + 32. Give t(-17).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -50310590 or -50310591?\nAnswer: -50310590","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/44*216\/(-18). Which is smaller: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 976472357?\nAnswer: 7, 457, 305243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -5910.527 to the nearest integer.\nAnswer: -5911","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(304) + 4)**2.\nAnswer: 24*sqrt(19) + 313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -440355.69 to the nearest ten thousand.\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11037010 + -25?\nAnswer: -11037035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5876 and 152?\nAnswer: 223288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of v**4\/4 + 5*v**3\/3 + 3*v**2\/2 - 2*v + 74. What is i(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 53 = 2*q, 55*d = 54*d - q + 41. Let m = -580\/39 - 396\/13. Let s = m + d. What is the common denominator of s and 5\/33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**4 + 292235*m**3 + 4091093*m**2 - 292235*m - 4091094 = 0 for m.\nAnswer: -292221, -14, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-4)*2\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w. Let r(n) = -3*n. Let v be 3 - 96\/((-8)\/2). Suppose 7*l = 16*l - v. Determine l*r(d) + 2*z(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(11)*1 + -1 - (1*sqrt(99) - sqrt(99))))**2 + -5.\nAnswer: -32*sqrt(11) + 187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1023, 28, -2, 3 in increasing order.\nAnswer: -2, 3, 28, 1023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0226861 + -3.\nAnswer: -2.9773139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 29, 101, 223, 395, 617?\n\"Answer: 25*k**2 - 3*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -o**4\/3 + 4*o**3\/3 + 2*o**2\/3 - 4*o - 71. Suppose w(j) = 0. What is j?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -4\/127 (c) 6\/101 (d) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29221438919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44 + -11. Suppose 5*q - a = 12. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2 + sqrt(171)) - sqrt(171)) + 0.\nAnswer: -4 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -23. Let m be (-1 - 1) + 2 - -3. Suppose 4*a - 4*j - 20 - 64 = 0, m*a = -3*j + 51. Calculate the remainder when a is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 5*z**3\/3 - z**2 + z - 3. Let u be i(1). Find the second derivative of 13*n + 14*n + 26*n**2 - 23*n**2 - u*n wrt n.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1410100 rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/(-8)*6944\/168. Calculate the highest common factor of d and 217.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 61 and 10797.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29748 - 25295. Is z greater than 4455?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 16229*f - 308346. Calculate v(19).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6238.95 days in nanoseconds?\nAnswer: 539045280000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2725113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 582, 434, 286, 138, -10?\n\"Answer: -148*p + 730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 82*k + 10*k**2 + 0*k**3 + k**3 + 85*k - 170*k to u*k**2 + z + h*k + p*k**3 and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9010547 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7239858.\nAnswer: 2, 3, 17, 70979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 112595, 110412, 108229, 106046?\n\"Answer: -2183*c + 114778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 177*d - 345*d - d**2 + 168*d + 32 in the form v + s*d**2 + z*d and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - y = -10, -8 = 5*b - 0*y + y. Suppose 0 = -0*m - m - 3. Let o(s) = s**3 + 2*s**2 - 2*s + 1. Let t be o(m). Are b and t unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 12. Suppose -2*v - 3*d = -122 - 70, -s*d = -3*v + 288. Suppose 0 = 3*c - 9 - v. List the prime factors of c.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 5172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 9) in base 8?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 38 + 146 = 0. Let b = 32 - 64. What is the common denominator of b and (244\/m)\/((-6)\/(-9))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 523 is divided by 33?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.3 (b) -2\/11 (c) -4 (d) -85\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16\/1153163, 1.1, -1.\nAnswer: -1, 16\/1153163, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 12:30 AM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2003182658.\nAnswer: 2, 17, 1789, 32933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1156.95 to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1003 (base 5) to base 3.\nAnswer: 11202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen tenths of a second in milliseconds?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1699764 and 2310036.\nAnswer: 1956","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 3.4, 1483, 1 in ascending order.\nAnswer: 0.1, 1, 3.4, 1483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 145.19 - 144. Let h = i + -1.307. Let p = h - -0.117. Which is the closest to p? (a) 0.3 (b) 3 (c) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1281926 divided by 419?\nAnswer: -1281926\/419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -8\/5*r**3 + 8\/5*r - 2\/15*r**2 - 8\/15 + 2\/3*r**4 = 0. Calculate r.\nAnswer: -1, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4 - 5*t**2 - 2*t - t + 0*t. Suppose -r - 15 = 4*r. Let d(f) = -2*f - 2*f - 9*f**2 - 5 + 3*f**2. What is r*d(j) + 4*n(j)?\nAnswer: -2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 774380 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjakjkkak. What is prob of sequence jjaa?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 34*n**2 + 38*n + 217. Calculate the remainder when 454 is divided by m(-35).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 9*r**2 + 10*r + 2. Let o be p(10). Solve -o*g + 0 = 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by -15.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4823487 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2725422 is divided by 240.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let d be 358\/8 - (-2)\/8. Let w = 7106 + -7107. Is (-2)\/9 + 62920\/d - w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - 7 - 59*l - 52*l + 174*l - 58*l. Determine a(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (35 - (-14 + 33)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.28, 17, 0.43, -4 in descending order.\nAnswer: 17, 0.43, -3.28, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255*t - 147*t = -198*t + 918. Suppose 0 = -w + 3*a - 1 - 2, w - 4*a = -4. Suppose 4*k - k = w, 2*k - 4 = -4*u. Sort -2, u, t in increasing order.\nAnswer: -2, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1201697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -4*s + 2859, 0 = s + 5*j - 4*j - 713. Suppose 10*v + 4*v + s = 0. List the prime factors of 4*v*(-1)\/2.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244573157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**3\/3 - 9508*b**2\/3 + 132956*b\/3 - 379760\/3 = 0?\nAnswer: 4, 10, 9494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-35 - (-11 - 43)) + 9\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 841400 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + (-25)\/(-5) + -3. Let x be (i\/(-8) - 156\/288)*-3. Solve -q - 1 = -2*b - 5, 0 = -2*q - x*b - 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 5:13 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 81 - 36. Let j = 49 - w. Which is the smallest value? (a) 4\/3 (b) -2\/7 (c) -1\/3 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 55768, 55678, 55588, 55498?\n\"Answer: -90*d + 55858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 252 and 1806.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/4*(-756)\/(-441))\/((-80)\/200)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2710 and 5962.\nAnswer: 29810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(21\/4))\/y)\/y)**13 assuming y is positive.\nAnswer: y**(221\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 423 is divided by 71?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s - 2*s + 0*s + 0 + 0 - 2*s + (1 - 2 - 2)*(0*s + 0*s + 2*s))*(-1 - 1 + 0).\nAnswer: 20*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 9*f - 20 = 0. Suppose -2*v - 12 = c, -f*c + 4*c = -4*v - 12. Let q(h) = -h**3 + 2*h**2 + 4*h - 1. Is q(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 3*h**2 + h. Let j be n(-2). Let k be (-3 + j + 2)*-6. Let l(a) be the first derivative of a**2\/2 + 12. What is l(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + w. Let s(x) = x. Let m be s(4). Suppose 1 = m*k + 5. Let a(h) = h**2 - h - 1. What is k*a(c) - 3*q(c)?\nAnswer: 2*c**2 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8137? (a) 15.6 (b) 3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(((-3)\/2)\/(102\/136)). Let n = 2 - -3. Solve n*x + 4*p - 2 = -y*p, 0 = x + 2*p - 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2279816447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 3) + 15 + -8 - -7\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1259 - 1238. Solve 11*w + 3*i = 15*w - y, -4*w = -2*i - 18 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1349970, 2699966, 4049966, 5399970, 6749978, 8099990, 9450006?\nAnswer: 10800026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 7 + 2 + 46*w)*(9*w**2 - w - 3*w**2 - 5*w**2).\nAnswer: 48*w**3 - 53*w**2 + 5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 267 (base 15) to base 6\nAnswer: 2311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1074)\/(-36) + 1 + 10\/(-12). Let q = z + -3. Suppose 31*a - 388 = q*a. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31*s**2 - 5485*s + 5485*s - 37 wrt s.\nAnswer: 62*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -545, -1249, -1953, -2657?\n\"Answer: -704*l + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 8*i**2 + 3. Let z be 6*(0 + (-16)\/(-12)). Let k be p(z). Suppose b - 196 = -k*b. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79\/((-4345)\/4675)*(-2 - -1).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fourty-two fifths of a second?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 12:19 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16848 + -712?\nAnswer: -17560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = l + c - 11, c + 31 = 4*l. Let d = l - 9. Let k(s) = -s. Let z(m) = 12*m + 2. Let g(b) = -6*k(b) - z(b). Determine g(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 20 = 0, -x + 3*x + 8 = 4*s. Suppose 2*u - z = 1202, 366 + 1426 = 3*u + x*z. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1462 and 228582.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3 = -3*y + 48, -y - 4*l = -25. Let c = y + -9. Suppose -3*g = -3*n - 24, 0*g - n = 2*g - c. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.739 + -2.261. What is the closest to -1\/4 in -0.3, -1\/4, n, -1\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1788)\/(-144) + -10 - 36\/48)*(-14 - -2).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 549050 by -50.\nAnswer: -10981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -12.8 > 4943?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9149481 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 + 6*3\/9. Let a be c - ((-4)\/1 - 4). Factor -12*l**2 - 10*l - 46*l + a + 146*l**2 + 62*l**2.\nAnswer: 4*(7*l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2252*b + 2218*b = -816 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4 = -l - 0*h, -3*l + 12 = -2*h. Suppose 3*q + 2*w = -41, -26 + 6 = 5*w. What is the nearest to 0 in 5, l, q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10551402119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y + 5. Let v(n) = n**2 - 2*n - 3. Let s be v(4). Let b(g) = -4 + 6 + s - g. Let z(a) = 5*b(a) - 7*t(a). Let p(o) = -8*o**2. What is p(z(c))?\nAnswer: -32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 2. Is p\/(-3) - (-190 + -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3328 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -4 - a**3 + 0 + 2 + 5*a - 2*a**2 - 3*a**2. Suppose 0*d + 3*d + 16 = -2*g, -32 = 5*d - 2*g. What is the units digit of w(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -0.7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8057 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1028 - -1) + 0 + 1. Suppose -11*u - 256 = -10*u + c, -c - p = 4*u. Which is bigger: u or -257?\nAnswer: -257","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.76298ml to litres.\nAnswer: 0.00476298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 23, 4, -31, -82, -149?\n\"Answer: -8*y**2 + 5*y + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 340340 divided by -11.\nAnswer: -30940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3829025 and 515.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*x**3 - 74125*x**2 + 2056729*x?\nAnswer: -30*x - 148250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1362319727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b**2 - 4*b**2 - 9*b**2.\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**4\/(i\/(i*i**(-2\/5))))\/(i**(-5\/2)*((i\/i**(-4))\/i*i)\/i) assuming i is positive.\nAnswer: i**(21\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2*d + 3*d = -22, -4*x + 2*d + 12 = 0. Solve 0 = -m + x + 2 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -130121*s**4 + 6*s**3 + 106221*s - 1?\nAnswer: -1561452*s**2 + 36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 613 = 5*k - 0*k, -g - 359 = -3*k. Let m be (-3 - -6) + (-1 - 0). Suppose -b + 33 = m*b. Calculate the highest common divisor of b and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 28794, 4 in decreasing order.\nAnswer: 28794, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 6) to base 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qbux when four letters picked without replacement from hxuhbpq?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-7)\/2 + 1)\/(2\/(-4)). Suppose 9 = 7*o - p. Solve -5*u - 22 = 3*f, 0 = -3*u + f - o - 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 357.\nAnswer: 4\/357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -48944 divided by 3\nAnswer: -48944\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3473814 or 3473813?\nAnswer: 3473814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - z + 2)*(-85*z - 10*z - 34*z)*(-11*z - 11*z + 6*z).\nAnswer: -2064*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c**3 - 2*c**2 - 1. Let f = 18 - 20. Determine q(f).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.7921 + -7.8017. Let x = s - -7. Round x to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4*z - 145, 0 = -22*z + 21*z - s - 30. Suppose 0*l + 68 = -2*l. Is z at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 137.4 + -133.4. Which is the biggest value? (a) 5 (b) w (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 2)*(1 - 1 - 2*v + (v - 4*v + v)*(0 - 2 + 3)).\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/4)*i*i\/((i\/i**(-5))\/i))**(5\/12) assuming i is positive.\nAnswer: i**(-65\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 947925047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2820 divided by -12?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -798390789 + -8158.\nAnswer: -798398947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i - 1. Let u(t) = -5*t - 3. Let g(d) = 2*j(d) - u(d). Let r(n) = n**3 - 8*n**2 + 13*n - 3. Let h(l) = 6*g(l) + r(l). What is h(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (5*-1*sqrt(17))**2 + sqrt(170)\/sqrt(10) + 2)*3.\nAnswer: 6*sqrt(17) + 1281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.2, 0.5, 0.318?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -10.1. Let n = o - 0.1. Let v be 51\/(-68) + 1 - (-3)\/4. Which is the nearest to -1\/6? (a) -0.5 (b) v (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 171800159 to the nearest integer?\nAnswer: 13107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 69c30c (base 14) to base 2\nAnswer: 1101110000011011001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 0. Let y(o) = 7*o - 2*o**f + o**3 + 0 - 7*o**2 + 3. What are the prime factors of y(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3a (base 11) to base 3\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -15*z. Let r(j) = 16029*j. Calculate r(h(m)).\nAnswer: -240435*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2891, -5490, -8051, -10574, -13059?\nAnswer: -15506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 at most -345537.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 4*l**5\/3 + 50615*l**4 + 1441303154*l**3\/3 + 4680202213*l**2\/3 - 7686950496*l - 74922107728\/3 = 0.\nAnswer: -18979, -4, -13\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-8 + 7) + 3 + 0. Solve 4*v - 3 = y*j - 11, v + j = -2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2. Let w(q) be the third derivative of -q**7\/504 - q**4\/24 - 2*q**2. Let j(a) be the second derivative of w(a). Give j(y(x)).\nAnswer: -5*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-570)\/25*-1*(-10)\/(-4). Suppose -f = -o + 4*o + 33, 4*o - 3*f + c = 0. What is the tens digit of ((-190)\/15)\/(2\/o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - w**2 + 26*w + 13. What is the remainder when 543 is divided by h(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*z + 20 = 286*z - 30*p + 26*p, 5*p + 19 = -z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 8*y**2 - 2*y - 12. Let v be l(-8). Which is the smallest value? (a) v (b) 0.5 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 562782.78s?\nAnswer: 156.32855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5943 - 5941. Solve -5*n = -2*m + 18, 7*n - r*m = 9*n - 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xz when two letters picked without replacement from xxxxzbzbbzxxzbx?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -699, -3911, -9635, -17871, -28619, -41879?\n\"Answer: -1256*v**2 + 556*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 980 - 735. Let s be 28\/r - (-22)\/77. Factor 6\/5*a - s*a**2 + 0.\nAnswer: -2*a*(a - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87916.\nAnswer: 2, 31, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5818 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 9:25 PM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*i - 20*i - 12. Suppose t = -2, -2*t = -2*a - i*t - 10. Let m(o) = -2*o + 1. Let k be m(a). Solve -3*x + 0 = -k for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus 16374183520?\nAnswer: 16374183525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 5*s - 445, -5*p + 15*s - 9*s + 522 = 0. Is 98 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -3*s + s. What are the prime factors of ((-3)\/2)\/(s\/(-140))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*m - 7*m + 408. Is m bigger than -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 0.09145?\nAnswer: -0.27435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 9 = 4*o, 0 = 4*n + 712*o - 716*o - 24 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -157 (base 9) to base 10.\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -m - 17, m + 1 = -1424*f + 1425*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 214 = -204, 5*v - 335 = -4*k. What is the greatest common factor of k and 375?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126178314069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h - 15. Give u(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -165 times 0.094439?\nAnswer: -15.582435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001053 rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 15 = -0*s. Let c(l) = -2*l**3 - l + 16*l**2 + 33 - 60 + 35. Let k be c(8). Solve -h + 4*h = s*u + 4, k = h - 3*u - 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4668 = c, 103*m + 20 = 107*m. What is the thousands digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 59 - 59. Suppose 2*g = -h + 16, k*h - g = 3*h - 63. Suppose -17 = c - h. Solve p + 4*u + 7 = -1, u = -2*p + c for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -29.983\nAnswer: -29.983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and -125863866.\nAnswer: -125863863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*y - 4233 = 2*y + 35*y for y.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -9323*k - 55918. Give m(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55995.\nAnswer: 3, 5, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v - 6. Let m be t(5). Let o = m - -4. Suppose 3*y - 6*z = -z + 14, 0 = -y - 2*z + 1. Solve -2*b - o*p + y + 5 = 0, 4*p = 2*b + 6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 3*w - 7. Let i = -19.21 + 18.21. What is the closest to i in 0.5, w, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 65*s**3\/2 - 13127*s**2 - 124723*s\/2 + 20430 = 0.\nAnswer: -5, 4\/13, 2043\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-873)\/6 - (-12)\/8. Let x be b\/(-40) + (-3)\/5. Suppose -4*q = 3*z + 2*z - 642, 3*q + x*z = 480. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -11 - 24. Let c be -1 + 2 + i + -4. Suppose 1903 = v - c*l, -3*l = -5*v + 5514 + 3967. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1050 >= 2\/583?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 7*i - 1. Let g be r(7). Let o be 37 - 0 - g - (-16)\/(-8). Let d = 39 - o. Which is greater: 4 or d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -536895578.999481 - -536895818. Let f = h + -239. What is f rounded to 5 dps?\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 1:34 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3 - 3788*j**2.\nAnswer: -2*j**2*(j + 1894)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j + 22 + 3 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -233.7 - -233.8. Let i = 112 + -1234\/11. Which is the fourth smallest value? (a) i (b) h (c) 0.2 (d) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 1\/2, -3.8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189274 is divided by 71.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m\/(m*m**(-2))*m*m*m*m**(3\/7)*m*m**2\/(m\/m**(2\/17)) assuming m is positive.\nAnswer: m**(1017\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2403 = -1409*p + 1428*p - 67. Calculate the greatest common divisor of p and 1510.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 13*q**2 - 41*q**2 - 2*q**3 + 16*q**2 + 10*q**2 as p*q**3 + w*q**2 + y + n*q and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 11*z + 4878 = 3*n, -n + 976 = z. Solve -980*v + 20 = -z*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12773 and 723.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -175461, -175461, -175455, -175443, -175425, -175401?\nAnswer: -175371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 24 = -0*s - 4*s, -l + 3*s + 19 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 12\/25 of a millennium?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*a + 4 = 0. Let t(h) = 1. Let g(w) = 3*w - 1. Let q(m) = -g(m) - 3*t(m). What is the lowest common multiple of 3 and q(a)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*u**2 - 23*u**2 - 46*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65.9 - -6.6. Round l to zero decimal places.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -1 + (1 + -2 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2087996 and -536749179.\nAnswer: -534661183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, k: 2, c: 4}. Give prob of picking 2 k and 1 m.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 175446 and 4332.\nAnswer: 350892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 118368?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2cb18 + da?\nAnswer: -2ca2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-2) - 0 - -2. Suppose 5*w - b = 1. Let h = -209\/5 - -42. Which is bigger: h or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51308 > 51306?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-8) + 1\/((-4)\/(-1059)). What is the greatest common factor of 120 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -186 - -185.9. Which is the third biggest value? (a) -2 (b) -2\/7 (c) 2 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 12. Let s = 1 + -2. Let n = 3.6 + -0.6. Which is the closest to s? (a) k (b) n (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 4*w + 9. Let p = 68 - w. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -10*l**2 - 130*l - 1903. Let w(b) = -4*b**2 - 65*b - 951. Let j(u) = -3*v(u) + 7*w(u). Differentiate j(i) wrt i.\nAnswer: 4*i - 65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -5*y - 1. Let q(w) = -6*w - 1. Let p be ((-4)\/10)\/(-3*4\/120). Calculate p*q(s) - 5*z(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 510431?\nAnswer: 467, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 + 363 = 39*t. Solve -t*i - 2 = -5*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -43 - -352262?\nAnswer: 352217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(27) - sqrt(27))*-3 - (sqrt(27) - (sqrt(27) + 2)*-2).\nAnswer: -9*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -40, -147, -326, -577?\n\"Answer: -36*n**2 + n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-48)\/(-4))\/6 - (1 + -1). Solve c*t + 25 = -3*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -148*b**2 - 8788*b + 5518. What is v(-60)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of 0*w**3 - 1\/21*w**7 + 0 + 0*w - 19*w**2 + 1\/30*w**5 + 0*w**6 + 0*w**4. Find the third derivative of v(k) wrt k.\nAnswer: -240*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 10599595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -5940 greater than or equal to -6021?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -150*b**2 + 5*b - 14 + 27 + b**3 + 149*b**2 in the form q*b + a*b**2 + v + i*b**3 and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -819*f + 718*f = 1818 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 48*s**2 - 2*s + 45. Let m be t(-14). Suppose m = 7*x - 4890. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 59, 0.1, 0.5, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 33*h**3 - 34*h**2 + 2*h - 2. Determine a(4).\nAnswer: 1574","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*-7*15\/(-315)*(-8)\/(-22).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -4*q - 3. Let h(k) = k - 1. Let d(v) = g(v) + 6*h(v). Let m be d(9). Let w be m\/(-3) - (-31 + 0). What is the greatest common divisor of w and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p. Let v(y) = -y**2 - 1. Let f be 3\/(-2)*(-24)\/(-9). Let c(l) = 2. Let j(s) = f*v(s) - 2*c(s). What is j(o(t))?\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 111 by 6.\nAnswer: 37\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -111 - -105. Let p = -1 + n. Which is the nearest to p? (a) -1\/2 (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**4\/o)\/o**(2\/7))\/(o*o**(-1\/6)*o*o*o**(-2\/13)*o)*(o**(-1))**(-2\/43)*o*o**(-3\/5)*o**(1\/3) assuming o is positive.\nAnswer: o**(71007\/39130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1682038 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -22023 (base 5) to base 8\nAnswer: -2751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2157 divided by 6\nAnswer: -719\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4*n = 0, 4*i - 3*n - 18 = 2*n. Suppose 4 + 0 = 4*s. What is the first derivative of 0*t**4 + i*t**4 - 1 - s wrt t?\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 711*c**5*j - 776*c**2*j wrt c.\nAnswer: 42660*c**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 519, 1200, 1881, 2562?\nAnswer: 3243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 2. Let v(c) = c. Let n be v(3). Suppose 0 = 4*j - i - 44, -31 + 11 = -2*j + i. What is the remainder when j is divided by p(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 9, 4*i + 54*n = 55*n + 887. What is the highest common divisor of i and 312?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 1:13 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**4 + 11*x**3 - 19*x**2 + 9*x = 0. Calculate x.\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4 = -v, -1838*d - 3*v = -1835*d - 6. Put 2, 174, d, 3, 1\/4 in descending order.\nAnswer: 174, 3, 2, d, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1694) + sqrt(1694)*-1*-3 - sqrt(1694) - -3*(sqrt(1694) + (sqrt(1694)*1 - sqrt(1694))))\/(-1*(6*sqrt(224))\/sqrt(8)).\nAnswer: -11*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 318574 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 611 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 60\/29?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 29562577?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.052 in -3, 4, 23?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73365352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*b**4\/3 - 271*b**3\/3 + 406*b**2\/3 + 24*b.\nAnswer: b*(b - 9)*(b - 2)*(25*b + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-1) + (-2)\/(-4)*-20. Let r(c) = c**2 + 9*c - 15. Calculate r(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 - (-16 - (10 + (-6 - -16) + -26 + -2)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1731256 and 552?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 18*z**2 + 2342*z + 66. Calculate b(-58).\nAnswer: -1210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 5. Let q = -136 - -136. What is z(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 + 10 - -7) + -3 + 1. Solve 5*v - y + 42 = -3*w, -w = 3*v + 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/62631, 16, -70?\nAnswer: 2\/62631","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-11) - 588\/(-154). Suppose -v - 3*v + 25 = -5*m, -19 = -b*v - m. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 5*x**2 + 65*x + 21. Calculate i(-9).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -170, -354, -528, -686, -822?\n\"Answer: i**3 - i**2 - 188*i + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 131*k**5 - 56*k**3 - 19553*k wrt k?\nAnswer: 2620*k**3 - 336*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 11:39 PM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(-1 - 3*j + 1).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -509, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of 0 + 0*f**3 + 1\/4*f**4 - 4*f - 1\/5*f**5 + 0*f**2. What is the third derivative of j(c) wrt c?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -88 - 41. Is 12 a factor of (u\/9 - -2)*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.96239 millennia in decades?\nAnswer: 96.239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(39)\/sqrt(3) - (sqrt(13) - (sqrt(91)\/sqrt(112))**2).\nAnswer: -3*sqrt(13) + 13\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -45, 6.\nAnswer: -45, -4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -221*f - 33*f + 2518410. Calculate the remainder when f is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3648787 and 11.\nAnswer: 3648798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-11 + -15)\/(-13)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 3 = -3*m. Let o be (-6)\/m - (-22)\/1. Calculate the common denominator of 146\/o - (1 - 5) and 95\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -976.5\nAnswer: 3906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 22*z + 30. Let h be w(20). Let x be (40\/50)\/((-2)\/h). Solve 4*m - 9 = 5*g, 0 = m - x*m - g - 17 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 86 or 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 7. Let b(i) = -10. Let n(w) = -5*b(w) - 7*x(w). Let a be (2\/1)\/(19\/((-57)\/6)). Let r(c) = -5*c**2 + 1. Determine a*n(l) + r(l).\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 0*i + 180 = 0. Suppose -5*p + o = -3*o - i, 4*o = 3*p - 28. Suppose -7*k = -3*k - 36. Calculate the remainder when p is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -c - 1\/2*c**2 + 6. Let k(a) = -3*a - 4. Determine -k(q) + 5*x(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 57*b - 62*b. Suppose -2*a = -b - 2. Solve -3*w + 5*y = -5*w + 35, -2*y = -a for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200120 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-22)*950\/190*(-11)\/165?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 99*c*q**3 + c*q - 205*q**3 - q**2 with respect to c.\nAnswer: 99*q**3 + q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.18 - 7. Let x = -0.12 - k. Is x > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 48573689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 0 + 0)*(26 - 26 + 8*u)*(5 - 3 - 1).\nAnswer: -72*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55 + (-24 - -34) + -11 - -1?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -705.4 + 706.4. Let x be (-212)\/330 - (-4)\/10. Let p = x + 235\/561. Is p less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -943, -1883, -2823, -3763?\nAnswer: -4703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/109547 - -39546461\/328641. Factor -38\/3*l - z - 1\/3*l**2.\nAnswer: -(l + 19)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q + 9. Let w be n(12). Let k be (w\/(-35))\/((-4)\/(-14)). What is the smallest value in k, 5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-three thirds of a day?\nAnswer: 20640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -8*r - 36. Let n = -26 + 32. Calculate the smallest common multiple of k(-5) and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1008 divided by 252.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 + -31. Let o = t - 11. Is o a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -341*x**2 + 0 + 339*x**2 - 14.\nAnswer: -2*x**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 10*o**2 - 10*o - 11. Calculate k(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o + 2. Let z be -1 + 3 + 2*-1. Calculate the smallest common multiple of l(z) and 459\/(-204)*(-64)\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -53638848*k**3*z - 12198177*k**3 wrt z.\nAnswer: -53638848*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 115 + -102. Suppose -16 + 42 = -a*p. Calculate the smallest common multiple of 9 and 4\/p - (-4 + 0).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 271 - 58 + 1701*v - 542*v - 1157*v + 206.\nAnswer: 2*v + 419","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 904705951 + -0.643.\nAnswer: 904705950.357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 6:41 PM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -1, -0.1, -5, 12109, 1\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 - 2*s + (2 - 1 + 0)*(0*s + 2*s + 0*s) + 2*s - 4 + 4 + 1 + 7*s - 1 + 2*s - 4*s + 4*s + (3*s + 3*s - 4*s)*(0 - 6 + 3) + s - 2*s + 2*s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -i + 5968, -2*n + n = 3. Suppose -5*d - 1222 = -i. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*g + 21*g + 27*g + 8 to the form n*g + y and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 34. Let r(o) = -18*o**2 - o - 1. Let s be r(1). Is w at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2207 - 0.0063. Let l = o - -0.22700101. Round l to 7 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50 + 179. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24674?\nAnswer: 2, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 629 (b) 7\/8 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 3)*(55 - 179 - 93)*(2*a + 4*a - 5*a).\nAnswer: -868*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -25. Let v = b - 8. Suppose 0 = -v*o - 0*o. Solve 4*a - 15 + 7 = o for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46 + -31. Let u(p) = 3*p**3 - 29*p**2 + 34*p + 1. Is u(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 4*l**2 + l + 5. Determine v(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (-1)\/(2 - (-10)\/(-4))*10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**2\/3 - 5308*z\/3 + 74900 = 0. What is z?\nAnswer: -5350, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -711\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 6*u**2 + 2*u - 7. Let q be f(5). Which is greater: 86\/3 or q?\nAnswer: 86\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27391093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q. Suppose 0 = 2*y + 3*y. Let d(n) = y - 10 + 2*n + 0 + 0*n. Calculate a(d(s)).\nAnswer: 4*s - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 7. Let r be (16\/(q + -2))\/(-6). Solve -4\/9*o**5 + 0*o + 2\/9*o**2 - r*o**4 + 0*o**3 + 0 = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 67382.\nAnswer: 539056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tlaeeeliaetaleel. Give prob of sequence tlei.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9 * -19.322979\nAnswer: -173.906811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 + 0.1. Let y = 2314\/1971 + -10\/73. Let i = y - 143\/216. What is the closest to b in 4, -4\/5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 101*v - 58 + 150 = 0, 3*v - 17 = 5*h - 35 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -2\/7, 1, -0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41022263 to the nearest integer?\nAnswer: 6405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-6 + -6 + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**2\/3 - 1629724*b\/3 = 0. Calculate b.\nAnswer: -1629724, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-48))\/(18\/(-54)). Factor 3\/8 - v*i - 1\/8*i**2.\nAnswer: -(i - 1)*(i + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -77 - -112. Suppose -w + i = 4*w. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 7*y - 8. Let q be c(8). Let d be 1*(6 + -2) + (0 - 1). What is the least common multiple of 10 and 2 + (q\/d)\/(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/27)\/((-3)\/(-6)))\/(238\/(-357)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -c7c4?\nAnswer: c7c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 12:20 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 1 = -7. Let x be (-108)\/(-234) - (-553)\/13. Let u(q) = -n*q + x - 26 - 17. Let m(j) = -31*j**2. Determine m(u(r)).\nAnswer: -124*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/1)\/((-6)\/(-4)). Let t(u) = 4 - 1 + 8*u + u. Let g(v) = 5*v + 1. Let x(j) = m*t(j) + 5*g(j). Calculate x(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3*m)*(4 + 5 + 6 + (5 - 1 - 5)*(4 - 4 - 1) - 2 + 0 + 1) + (-m + 5 - 5)*(-3 - 1 + 3).\nAnswer: -44*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 522834\/7 - 74820. Let b = n - -130. Is b less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1001*h - 1001*h + 532*h**2)*(h**2 + 3*h**2 - 3*h**2) + 2*h**4 - h**4 + 0*h**4 as u*h + p + l*h**4 + a*h**3 + k*h**2 and give l.\nAnswer: 533","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*k - 4*t = 0, 4*k - 3 = 3*t. Suppose 3*i - k = -3*x, 0*x + 4*i + 2 = -x. Let z = x - 3. Let p(g) = 5*g. What is p(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 7*b**2 - 8*b - 6. Let w be j(-6). Suppose -8 = -o - w. What is the third derivative of 26*t**4 - 4*t**2 - 34*t**4 - o*t**2 wrt t?\nAnswer: -192*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37714, 150700, 338960, 602494, 941302, 1355384, 1844740?\nAnswer: 2409370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/126)\/(-3*(-2)\/(-8)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 3. What is the third biggest value in o, 3\/2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 + 291\/7. What is the second biggest value in b, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -3*s**5\/20 + s**4\/2 + 2*s**3 - 12*s**2 - s + 18. Suppose t(r) = 0. What is r?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 83999 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 333 - 335.1. Let f = 1.97 + j. Which is the second smallest value? (a) f (b) -5 (c) 5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -334 (b) -3.2 (c) 10\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1259880?\nAnswer: 2, 3, 5, 10499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 9*t - 246. What is q(19)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 116*p**2 + 4*p - 9. Let j be c(-4). Suppose 2*n - j = 3075. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -8. Let b be 1\/((-3)\/(-9)) + 7 + -8. Suppose b*z + l*z = 20. Sort 2, 5, z in descending order.\nAnswer: 5, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2216099687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 98 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 13 + 16 + n - 5*n.\nAnswer: -4*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.85654 and -1?\nAnswer: 0.85654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (1044\/3770)\/6*26\/2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, i: 1, z: 1}. What is prob of sequence biz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*t + 24 = -3*y - 19, 3*y = 3*t - 21 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c\/c**(-5\/4))*c))\/(c\/c**(1\/8)))**(-23) assuming c is positive.\nAnswer: c**(-69\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, w: 11}. Give prob of picking 1 w and 1 z.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13300201021 - -100?\nAnswer: 13300201121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44522*j**2 - 44522*j**2 + 3*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = t + t. Let o be 0 + 9\/(-3) - t. Solve 0 = o*b + b - 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 8 = 42*d - 41*d, -5*r + 5 = 0. Sort -12, d, 2 in descending order.\nAnswer: d, 2, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3701 = -4*x + m, 3*m = -x + 1217. Let v = -235\/7 - -793\/28. What is the common denominator of 6\/10 - x\/(-105) and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 208 (base 10) to base 3.\nAnswer: 21201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express z - 2*z + 5*z - z as v*z + a and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 7*q**2 - 5*q + 6. Let j be l(-6). Let u be 1 - -3 - (-1250)\/(-300). Which is the nearest to -1\/4? (a) u (b) -5 (c) j (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 298\/149*(-6)\/(-4)*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2757788?\nAnswer: 2, 11, 233, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 16. Let g be 6\/27 - (p - (-177)\/189). Factor 0*k + 0 - g*k**2.\nAnswer: -2*k**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -138? (a) -2\/7 (b) 0.4 (c) -5 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4089?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01703986 rounded to four dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -501, -4301, -15085, -36345, -71573, -124261, -197901?\n\"Answer: -582*s**3 + 274*s - 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2267 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 809*h**2 + 4654*h + 1011*h**2 + 239*h**2 - 4651*h to m*h + u*h**2 + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -f**8\/112 + f**7\/70 + f**6\/20 - f**5\/10 - f**4\/8 + f**3\/2 + 10*f**2. Solve y(k) = 0 for k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 774 and 3311.\nAnswer: 59598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**5 - 3084*s**4 - 786351*s**3 + 3229146*s**2 + 8805024*s + 4792608 = 0. What is s?\nAnswer: -516, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 852818*i**2\/7 - 62688*i\/7 + 1152\/7 = 0.\nAnswer: 24\/653","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 631.4346km in millimeters?\nAnswer: 631434600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 5:23 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21031200002 - -2?\nAnswer: -21031200000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*y**4\/7 - 2728*y**3\/7 - 25204*y**2\/7 + 2728*y\/7 + 25152\/7 = 0.\nAnswer: -8, -1, 1, 786\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -4*d. Suppose d = -2*q + 3*a, 0*q + 5*a - 25 = -5*q. Solve -4 = q*k - k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 837048, 1674106, 2511166, 3348228?\nAnswer: 4185292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 15*c**2 - 6*c + 120. Let u be h(-14). Solve 60 = 23*j - u*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1\/6, 0.1, 45.68, -45, 2\/5, -7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118396.\nAnswer: 2, 29599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a. Let q be t(-7). Suppose q*k = 3*k - 8. Let j be k*6\/(-4) + -1. Which is smaller: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -r + 5*r - 6, 3*a = r + 3. Suppose -5*n = -3*n - a*k - 14, 2*k + 10 = 0. Let s(g) = -1 + 0*g**2 + g**n - 2*g**2. Give s(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**3 + 40*x**2 + 2250*x = 0.\nAnswer: -25, 0, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qyys when four letters picked without replacement from yqsgy.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 1888*l - 32605. Give b(17).\nAnswer: -509","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*q - 3*s - 13, 16 = 3*q - 5*s. Let n(t) be the second derivative of 1\/6*t**3 - 11*t - 1\/6*t**4 + 0 + 1\/2*t**q. Determine n(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/21 + 120\/280. Let q be ((-4)\/(-10))\/((-46)\/(-10)). Is l > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 18 = -2*k. Suppose 0*a - k*a = -417. Let s = -50 + a. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-19)\/b**(1\/14)*(b**1)**40 assuming b is positive.\nAnswer: b**(293\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -17*z + 15. Is w(-5) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 45*q**2 - 22*q**2 + q**3 - 27*q**2. Determine d(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -2*g**3 + 2*g**2 + 20 + 2*g + 1\/12*g**4. Find the second derivative of i(b) wrt b.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/(-36) - ((510\/54 - 10) + 1). Let q = -1 + 2. Sort i, -1\/4, q.\nAnswer: i, -1\/4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r**4 + 32*r**3 + 29*r**2 - 22*r - 33. Let c(o) = 3*o**4 + 30*o**3 + 28*o**2 - 22*o - 31. Let h(s) = -5*c(s) + 4*u(s). Solve h(n) = 0.\nAnswer: -1, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -4*u + 118. List the prime factors of u.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -10, -16?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 equal to -38429164?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 860253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -547 + 819. List the prime factors of t.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-16)\/(-40))\/((-10)\/(-24775)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and 4628275.\nAnswer: 4628277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -22, 174\/7, -1, -0.5 in descending order.\nAnswer: 174\/7, -0.3, -0.5, -1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/6 and ((1330\/84)\/(-5))\/(16\/10).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 29*m - 244517 = 34*m, v - 81499 = 5*m. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 0*u**2 - 12 - 10*u + 4 + u. Let r be d(-8). Factor -1\/2*s**4 + r + 3\/2*s**3 - 3\/2*s**2 + 1\/2*s.\nAnswer: -s*(s - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*y = 235, -2*i - i + 4*y + 112 = 0. Suppose o = -3*m + i, -2*o - 20 = 3*o. Is (m + -13)\/(6\/148) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3 + (-1 + (-4*sqrt(80)*-3 - -3*sqrt(80)*-6)*2)**2.\nAnswer: 96*sqrt(5) + 11528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/2)\/(3\/3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 31 = 2*j + 4*p, j + 3*p = 20. Let q = 9 - j. Let i be 2 - (q + 5)*-1. Solve -i*g + v = 0, v = -g + 6 - 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 375336, 375333, 375328, 375321, 375312, 375301, 375288?\nAnswer: 375273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3*s + 93 = 0, 5*s = 2*l - l - 19. Which is bigger: l or 22?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 3*g + 8 + 9, -4*p - 4*g = 28. Let n = 4 + -5. Let j = -352 - -352.1. Sort n, j, p in descending order.\nAnswer: j, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*n + 4*n + 15. Let l(g) = g - 2. Let v be l(n). Suppose 1 + 29 = v*w. Solve r = -4*r - w for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7223 + 18334 = 7*v. What are the prime factors of v?\nAnswer: 3, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 125 - 134 = 0. Let k(q) = -2*q + q**2 - u*q - 7*q + 18*q. Let y(n) = -58*n. Determine k(y(o)).\nAnswer: 3364*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1494 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -21.1\nAnswer: 63.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 2697 (c) 1 (d) -0.9 (e) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 441081 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -20*v**2 - 1160*v - 18. Let p(s) = -9*s**2 - 580*s - 8. Determine 9*p(m) - 4*x(m).\nAnswer: -m**2 - 580*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + m + 15. Determine x(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3.3 and 0.38.\nAnswer: -2.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i - 15 = 22*i. Let u(c) = 2*c**2 + 5*c. Let v(l) = 4*l**2 + 10*l. Determine i*v(k) + 5*u(k).\nAnswer: -2*k**2 - 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-21))\/((-85)\/595)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - -3 - (15 + 37).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5609 + -5609.1. Let v = 1306 + -214185\/164. Which is greater: o or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, -6, -22, -38, -48, -46, -26?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 116\/(-7) + 11\/(539\/(-21)). Let j(x) = -x**2 - 11*x + 97. Let v be j(h). What is the second biggest value in -1, v, -15, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -28*z**3 - 10*z**2 + 11*z - 9. Let m(a) = -23*a**3 - 9*a**2 + 11*a - 8. Calculate -5*h(t) + 6*m(t).\nAnswer: 2*t**3 - 4*t**2 + 11*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 2\/9, 900, -3.\nAnswer: -3, 2\/9, 20, 900","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -9*b - 1. Let d be c(4). Let x = -21 - d. Calculate the remainder when 62 is divided by x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 29 = r, -4*r - 3 + 7 = -4*k. Let z = -170.6 + 171. What is the closest to k in 4, z, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 55 and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 552 - 1650 + 550 + 195*n + 550. Let d(u) = -2*u**2. What is h(d(x))?\nAnswer: -390*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 367 - 336. Put 3, b, -5, -4 in increasing order.\nAnswer: -5, -4, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 = m - 52 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 839009, 838877, 838657, 838349, 837953?\nAnswer: 837469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 74\/(-222)*(-33)\/(-143)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 30\/(-4))\/((-84)\/112). Find the second derivative of 143*h - 3*h**3 + i*h**3 + 8*h**4 - 24*h wrt h.\nAnswer: 96*h**2 + 42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 7*w**2 - w + 6. Let j be u(-6). Let d = 33 - j. Let f be d\/(-6)*(-16)\/(-10). Solve 0 = 5*i + 5 - 25, 0 = -f*a - 2*i + 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r - 10*r = -6 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*i**3*m**3*t - 3714*i**3*m**3 - 20*i**2 - 476*i*m**3*t + 15*i*m**3 - 53*t wrt t?\nAnswer: -6*i**3*m**3 - 476*i*m**3 - 53","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 477*q - 2403 - 7137 = 0 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -276 + 278. Suppose -g*a = -3 - 1. Solve a*o - 12 = 5*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/118230 and -145\/84?\nAnswer: 236460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1030 times -746.5\nAnswer: 768895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = m + 10, x + 15*m = 10*m - 22. Let s(t) = -2*t - 3. Let a(q) = -5*q - 10. Let r(u) = -6*a(u) + 21*s(u). What is r(x)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 300 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-3646\nAnswer: -1823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.08, -2\/15, 3\/104, 4?\nAnswer: 3\/104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 27*n**2 + 19*n - 162. Give s(-26).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 229*a - 1986*a + 532*a - 1931*a + 128*a to g + z*a and give z.\nAnswer: -3028","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7714910 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 - 5*p**2 + 4691*p**3 + 8178*p**3.\nAnswer: 12869*p**3 - 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p + 14. Let u(k) = -6*k - 77. Let r(y) = 33*t(y) + 6*u(y). Let h(g) = -16*g - 7. What is h(r(m))?\nAnswer: 48*m - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7}. What is prob of sequence vvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l + 2*x + 18, 3*l + 5*x - 16*x = -13*x - 23 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -177.66 - 2.34. Let p = a + 186.3. What is the second biggest value in -0.2, -1, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66163 - 13828039\/209. Calculate the common denominator of p and (59\/(-295))\/(16\/530).\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52340161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -11. What is the closest to -2 in x, 0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 2*l**2 - l + 7. Let g be (9 - 8)\/((-1)\/3). Let t be c(g). Sort t, 4, 2 in increasing order.\nAnswer: t, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (0 + -2)) + (-1 - 4) + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z - 8*s + 30, 50*s + 18 = 5*z + 57*s - 32 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) 0 (b) 1.8283 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21233652?\nAnswer: 2, 3, 11, 160861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 70?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 324859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 3*i = -1561. Suppose i = 44*n - 43*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/7, -4, 8, 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 573344 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.16 rounded to zero decimal places?\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -49, 4, 61555?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 minus -1043173.4?\nAnswer: 1043173.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3429284 by 857321.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -86 + 87. What is the remainder when 1 is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 9*t**2 + 11*t - 13. Let v be p(8). Let a = v - 2. Calculate the least common multiple of a and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*i - d, 0 - 15 = -5*i + 5*d. Suppose r = -i*s + 16, -3*s + 4*r + r - 8 = 0. Calculate the highest common divisor of s and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 20 = -0*l. Let g = -1.651 - -1.151. Let b = -0.3 - 0. What is the third smallest value in g, b, l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 349*x - 1909*x = 29640 for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16692*t**2 - 22647 wrt t?\nAnswer: -33384*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3 - 12*w**4 + 2*w**2 + 6*w**5 + 2*w**4 + 5*w**3.\nAnswer: 2*w**2*(w - 1)**2*(3*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -190*s**2 - 1 - 182*s**2 + 16*s + 329*s**2 - 60*s**2 to q + d*s + k*s**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(192) + -6*(sqrt(192) + 0))*-6)**2.\nAnswer: -345600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1234 by -6.\nAnswer: -617\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.2, 24\/7, 1, -42, 48?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33 or -71\/196?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -264 or -0.614601?\nAnswer: -264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 9:37 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 + 0. Let r = 0.34 - 0.04. Let l = -0.7 - r. Which is the nearest to 0? (a) -5 (b) m (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 3:53 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s + 3*b - 9, b + 18 + 3 = -5*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 26*a**3 + 3*a**2 - 18*a + 7. List the prime factors of j(4).\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - l**2 - 5*l + 6. Let u be j(3). Let a be -1*(39\/(-4) + 17\/(-68)). Solve 0 = -3*q + u, -5*o - 2*q = -7*q + a for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 55 in -0.3, 0.4, -0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 254, 321, 388, 455?\n\"Answer: 67*a + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x - 35*x**2 - 2*x**3 - x - x in the form g*x + c*x**3 + z + t*x**2 and give t.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of r**8\/280 + 31*r**7\/350 + 9*r**6\/20 - 193*r**5\/100 + 7*r**4\/4 - 2*r**2 + 2434. Solve q(h) = 0.\nAnswer: -10, -7, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3636*l**3\/7 + 3628*l**2\/7 + 8*l\/7 = 0. What is l?\nAnswer: -2\/909, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/179, -1.1, 1283.1, 2 in descending order.\nAnswer: 1283.1, 2, -2\/179, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3061 - -4919. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/50 of a micrometer?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 5*j + 59 = 0, 9*j = -4*y + 8*j + 7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -107? (a) -1\/8 (b) -498 (c) 0.1 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.151986? (a) -2\/55 (b) 4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5}. What is prob of sequence hhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5589756 and 596556?\nAnswer: 2628","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l**5 - 1156*l**4 + 26696*l**3 - 207032*l**2 + 608188*l - 426692 = 0. What is l?\nAnswer: -311, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -7.6 (b) 0 (c) 0.3 (d) -1369\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 404879801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 929*d - 126 = 920*d. Solve x = -2*q - 8, 6*x + d = 2*x - 2*q for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 9*r - 2. Suppose -8 = 4*z - 8*z. Suppose -2*u + 44 = -z*v - 2, u + 4*v - 8 = 0. What is the least common multiple of i(2) and u?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19773 + 19908. Solve s = -3*p - 8, p + 141 = 3*s + n for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3129 plus -0.06?\nAnswer: 0.2529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 74 - ((40 - 66) + 57).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 22 - 7*y**2 - 3*y - 4*y + 7*y**2 + y**2. Is t(9) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 6320267798?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 4:27 AM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 + -40. Let o = 12 + f. Find the common denominator of (14\/(-9))\/(2 + o\/(-12)) and -70\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**5 - r**4 - r**3 + 2*r**2 - r. Let u(b) = -5*b**5 - 7*b**4 - b**3 + 5*b**2 + 8*b. Let h(y) = -2*s(y) - u(y). Determine q, given that h(q) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -150, -303, -542, -897, -1398, -2075, -2958?\nAnswer: -4077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*g - 47, -6*c + 3*g + 304 = -c. Let h = c - 46. Solve h - 5 = 4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/6)\/((-5)\/((-5)\/1))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 134, 252, 366, 476, 582?\n\"Answer: -2*h**2 + 124*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**2 + 8*z + 15. Let a(o) = -4*o**2 + 847*o - 3 - 27 - 863*o. Let y(j) = -4*a(j) - 7*k(j). Is y(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 1. Let g = r - -4. Let i = -4.8889 + -0.1111. What is the closest to -1 in i, g, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/(-16)*((-149)\/(-145) + -1). Which is the smallest value? (a) -1\/5 (b) -3\/5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3065?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0224 - 0.1224. Is 270 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393809123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (180\/(-12) - (-2 + -5 - 3))*86\/(-10).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**2\/5 + 1988*z\/5 - 7968\/5 = 0?\nAnswer: -1992, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 9*z**2 + 2*z + 2. What are the prime factors of v(-3)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 - 25. Let a(z) = 14*z**3 - z**2 - 2*z + 12. Let s(o) = -5*o**3 + o - 4. Let b(h) = -4*a(h) - 11*s(h). Determine b(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127467 is divided by 48.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**1)**(-29))**(-19\/5)\/((z**2\/z*z)\/(z*z**5*z))**(9\/7) assuming z is positive.\nAnswer: z**(11796\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-27)*q**(-5) assuming q is positive.\nAnswer: q**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g. Let u(b) = -2043*b**2 + 0 + 2005*b**2 + 0. Determine w(u(l)).\nAnswer: -76*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, q: 7}. Give prob of picking 1 b and 3 q.\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 25942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - o = 2. Is 511\/14 - o\/4 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a + 5*t, 2*a - 28*t + 30*t + 0 = -4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of 107*q**5\/60 + 101*q**4\/24 - 32*q**2. What is the second derivative of t(j) wrt j?\nAnswer: 214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*g - 42*g + 66 = 0. Let c(o) be the second derivative of -o**3\/6 - 6*o**2 - 3*o + 356. What is c(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-125)\/11)\/(-5) - (-129 - -131)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 666, 1330, 1994, 2658, 3322, 3986?\nAnswer: 4650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2125892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -213b + 76?\nAnswer: -2095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -307*q**2 - 7*q + 10. Give b(5).\nAnswer: -7700","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*d - p + 22, 2*d + 4*p - 2 = 0. Let v be (-108800002)\/8 + d\/20. What is v rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + -5)**2 + 1.\nAnswer: -30*sqrt(11) + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 125*w**4\/6 - 103075*w**3\/6 + 20605*w**2\/2 - 12361*w\/6 + 412\/3 = 0.\nAnswer: 1\/5, 824","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**3*w**2 + 13282165*f**3 + f**2*w - 365015*f*w**4 wrt w.\nAnswer: 4*f**3 - 4380180*f*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vo when two letters picked without replacement from oorrvrvrvrvvroro.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = c - 3066, 4*c = 7*c - 2*h - 9246. What is the hundreds digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 3755a9?\nAnswer: 3755ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**3 - 502327 + 502327.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -287 - -297. Suppose 5*j - 19 - 8 = 2*f, -4*f = 2*j - 6. Let r be 4\/9 + (850\/(-90) - -15). Solve s - v = -r*v + m, j*v - 5 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -2*u**5\/5 - u**4\/12 + u**2\/2 + 25*u. Give v(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 233940*z**3 + 525365*z**2 + 114720*z - 500 = 0?\nAnswer: -2, -1\/4, 50\/11697","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208*a + 44562 = 39986 for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 228 (base 10) to base 7.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 696771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2872 + 2874. Let x(g) be the second derivative of a*g - 1\/20*g**5 + 2*g**2 + 0 + 0*g**4 + 0*g**3. Differentiate x(j) wrt j.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 758 + -756. What is the remainder when 128 is divided by (-4048)\/(-110) - (28\/10 - x)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 519 + 547 = 6*k, -4*k = 2*j - 24 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 2:44 PM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -4 + (-1 - (10 + (-16 - -7)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/13056 and 83\/144.\nAnswer: 39168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1006*h**2 + 14 - 21 - 15*h + 6.\nAnswer: -1006*h**2 - 15*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372 is divided by 181.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -60 + 59.5. Let q = 78 + -78.3. Let j = -0.1 - 0.3. Which is the nearest to q? (a) d (b) 2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b + 4 - 4. Let a(t) = t - 3*t - 2*t. Determine a(c(g)).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2174, 3, -54, 8, -5, 1 in descending order.\nAnswer: 8, 5, 3, 1, -5, -54, -2174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.6, 0.2, -7\/38, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(0 - (-1 - 0)). Let h be ((-6)\/5)\/((-1)\/x). Let r be 9\/h*(-6)\/9. Solve -3*u - 11 - r = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 39 and -24.1.\nAnswer: 14.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10997 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of 7*h**2\/2 - 257*h + 178. Let y be w(37). Put 1, 64, y in increasing order.\nAnswer: 1, y, 64","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 360, 31 in descending order.\nAnswer: 360, 31, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -142164*a**4 + 10*a**3 + 6*a**2 - 232437659?\nAnswer: -568656*a**3 + 30*a**2 + 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4 - 648*c**3 + 16878*c**2 + 35696*c + 18171.\nAnswer: -(c - 27)*(c + 1)**2*(c + 673)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 795*p + 1050?\nAnswer: 795","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -4*b - 32, 0 = b - 5*q + 15 + 5. Let m(r) be the third derivative of -1\/60*r**5 - 2*r**2 - 5\/6*r**3 - 5\/24*r**4 + 0 + 0*r. What is m(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20214769 greater than 20214771?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249*o = 124*o - 8579 for o.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*j**2 - 50*j**2 + 10*j**2 + 9*j**2 + 5*j**2 + 7*j**2.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 43 = -5. Let d = q - 12. Suppose d = -4*t + 4*n + n + 41, 2*t + n = 17. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7907*g**5 - 5*g**4 + 87052*g wrt g.\nAnswer: 158140*g**3 - 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f. Let u(k) = k - 23. What is b(u(j))?\nAnswer: -2*j + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 12 = -3*w, -2 = -5*w + b + 3*b. Let v = 27 + -27. Suppose 1476 = w*t - 2*d, v = 3*t + d - 1504 - 730. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**3 - 2*b**3 - 2*b**3)*(10 + 12 + 13)*(2 + 1 + 0).\nAnswer: -210*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - (-3*1*sqrt(76) - sqrt(76)))\/(sqrt(484) - (-2*sqrt(484) + sqrt(484))))**2.\nAnswer: 475\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.1 + -1.9. Let p be (-4)\/6*6\/14. Which is the biggest value? (a) 0.5 (b) p (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46)\/(-4) + 3 + -14?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 4*n**2 - 3*n + 13. Let g = -297 - -293. What is the remainder when q(g) is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34\/3 - 71\/6. Let x = 0.182 + -1.192. What is the third smallest value in -5, -2, m, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 208\/936 + 1\/(-18). Let i(j) be the third derivative of 0 + 1\/24*j**4 - 1\/240*j**5 - 29*j**2 - q*j**3 + 0*j. Let i(z) = 0. Calculate z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*r - 5*a = 43*r - 34, r = 5*a - 54 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*b + 0*b - 2*b)*(0*b - 2*b + b)*(-b + 7*b - 3*b + (-4*b + 0*b + 2*b)*(1 - 5 + 2) + 2*b - 3*b - b).\nAnswer: -35*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 589*b + 11. Let m(a) = -a - 4. Let t(j) = -l(j) - m(j). Is t(-1) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12\/5*i + 2 + 2\/5*i**2.\nAnswer: 2*(i + 1)*(i + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -4*t + 19. Suppose -4*l - d + 29 = 19, 3*l = -d + 7. What is u(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337238873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7 - 6) + 143809 + -2. Let b be ((-192)\/10)\/(4\/(-16290)). Suppose 0 = i + z + b. Round i to the nearest ten thousand.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -28*j + 842. Let x be g(30). Solve v - 2 = -k, 5*k = 16*v - 17*v - x for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 49*j + 17. Let k(v) = -24*v - 9. Let z(l) = 4*i(l) + 7*k(l). Let f be z(-3). Which is bigger: f or -81?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**2 + l**2 + 5*l**2 + (2*l + 2 - 2)*(-l + l - l) - l**2 - l**2 + l**2 + 22*l**2 + 28*l**2 + 32*l**2)*(4*l**3 - 4*l**3 - l**3).\nAnswer: -81*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 a when three letters picked without replacement from ammamaaaaaaaaamaaaaa?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/2 + 253\/(-46). Let h = j - -7. Determine u so that -2\/3*u + 4\/3*u**2 - 2\/3*u**3 + h = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 + 94*n + 21*n**3 + 99*n - 193*n in the form g + k*n**2 + i*n + x*n**3 and give x.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 232*i**4 - 508 + 1002 + 2*i**3 - 491 - 45*i**2 wrt i.\nAnswer: 5568*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1214213?\nAnswer: 7, 11, 13, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10993781.499999682 + -10993785. Let z = -3.5 - c. Round z to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o**2 + 0*o**2 + 2*o**2 + (1 - o - 3*o + 3*o)*(19*o - 9*o + 8*o) in the form m + k*o**2 + z*o and give k.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y**4 + 2*y**4 - 3*y**4 + (-55*y - 50*y + 2*y)*(-y**3 + y**3 + y**3) as x*y**3 + u*y**4 + o*y**2 + r + j*y and give u.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011001 + -100?\nAnswer: 101010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 r when two letters picked without replacement from {r: 5, c: 5, v: 3}?\nAnswer: 25\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 - -31. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.133135 * -0.3.\nAnswer: -0.0399405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 937847 is divided by 304?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 9*b - 10. What is the remainder when 112 is divided by x(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 6*i + i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 54244*p**2 + 94367*p wrt p?\nAnswer: 108488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 201550662 divided by 67183554\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 28075022 a multiple of 2278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, l: 1, n: 2, e: 1}. What is prob of sequence nn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 13 (b) 32 (c) 0.4 (d) 4 (e) 351\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/3059, -5\/3, 0.27, -35.\nAnswer: -35, -5\/3, -3\/3059, 0.27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of -z**7\/315 - 11*z**6\/18 - 971*z**5\/30 + 1540*z**4\/9 - 3136*z**3\/9 - 333*z**2. Factor a(q).\nAnswer: -2*(q - 1)**2*(q + 56)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19223049.\nAnswer: 3, 83, 77201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2.037 + -12.300556\nAnswer: -14.337556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 12549 (b) 2 (c) 0 (d) -6 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 35*q**2 + 28*q - 3. Let o be c(1). What is the highest common divisor of o and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 2*c - 10. Let a(y) be the first derivative of -y**3\/3 + 3*y**2 - y + 10. Give a(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 28*n**3 - 166*n**2 - 12*n - 5. Calculate r(5).\nAnswer: -715","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t - t + t**2 + (-t + 0*t + 0*t)*(2*t - 3*t - t))*(-3 + 2*t + 3)*(-8 + 6 + 5) to m + q*t**2 + l*t + d*t**3 and give d.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -2\/3 (b) 5 (c) -2 (d) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 94 + -166. Let h = -97 + f. Let p be (-26)\/h - 362\/(-13). Calculate the greatest common divisor of p and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3*g - 5*x - 6 = 0, -g - x + 10 = 0. Let n be 2 + g\/(-2)*1. Let v = -0.42 + 0.02. Which is the closest to -1? (a) n (b) 1\/3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p + 36 - 8 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*j + 6*j. Solve j*x = x - 3*w + 23, 5*x + w - 26 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**3*n*n\/(n*n**5)*((n*(n*n**(2\/3))\/n*n)\/n)\/(n**(-3\/10)\/n))**(1\/16) assuming n is positive.\nAnswer: n**(59\/480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a decade in years?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -156 * 0.94145.\nAnswer: -146.8662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hbhhhhhb. Give prob of sequence hb.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-97)\/(-13) - 864\/1872. Solve 4*o - q = -3*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8205339638 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 165*z. Let j(k) = 1050*k. What is d(j(s))?\nAnswer: 173250*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10\/13? (a) 2\/5 (b) 4\/3 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooooo. What is prob of sequence oooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1088463136 and 796.\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*o = -3973 + 4611 - 1963 for o.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1 - 9\/4*b - 1\/2*b**2.\nAnswer: -(b + 4)*(2*b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 2*f + u - 20, 5*u - 25 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 59805 divided by 1329\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 0 + (14 - 7 - 8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-86)\/((-3096)\/81) - 25\/10)*(-2)\/(-39)\nAnswer: -1\/78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cec when three letters picked without replacement from {c: 8, z: 2, q: 2, e: 1}.\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 88*o**2 + 290*o + 10123. Determine g(-86).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 564?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 408 is divided by 178.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -4*i - 11. Calculate the remainder when 1 + 0 + 1 + 12 is divided by h(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000037803 rounded to 6 dps?\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 27\/4 of a micrometer?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 140 and 2660.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, w: 1, c: 4}. What is prob of picking 4 f?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = -26*g + 24*g. Suppose 0 = -2*d + 3*d - 60. Let n = d + g. Solve 0 = -0*f - n*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-70)\/(-25) + (-1302)\/490\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.102902 * -12.\nAnswer: -1.234824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2 + 78271*v + 626040. Calculate a(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 8*c - 3. Let h be r(8). Let b be -2*2\/4*h. What is the third derivative of -22*p**b + 11*p**2 - 4*p**2 - 20*p**3 + 39*p**3 wrt p?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 1219061232235?\nAnswer: 1219061232246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 48*i**2 + 386*i + 27. Determine b(-55).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 84913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -162 - -235. Let g = s + 79. List the prime factors of g.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 + 49 - 26 - -40?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -6, 5*z - 2358 - 1647 = -5*p. Is 804 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66 + -64. What is the second smallest value in r, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 175 - 139. Suppose -k = 0, 0 = -2*t - 4*k + p. Suppose -3 = -4*n + 281. What is the remainder when n is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -122*c - 1052 + 3004 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-54)\/(-3))\/((-4)\/(-14)) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/(-3 + 0) + -2. What is the tens digit of (1*9)\/((-4)\/c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -1, 10, 17 in ascending order.\nAnswer: -1, 0, 5, 10, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -139*b**2 + 6*b**4 - 5826*b + 0*b**3 + 2*b**3 + 318*b**2 - 8*b**2 wrt b?\nAnswer: 72*b**2 + 12*b + 342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 10*l**2 + 3. Let u be y(-10). Suppose 0*m - u*f + 4 = -m, f + 6 = 4*m. Suppose 3*t - 45 = -m*t. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1408358003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, y: 10}. Give prob of sequence yy.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/5, 3, -1\/2, 0.42?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -67 + 37 + 36 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15639, 13673, 11707, 9741, 7775?\nAnswer: 5809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 5:57 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/3)\/((-4)\/(-78)). Let g(b) = 250*b - 1549. Let a be g(6). Let n = a - m. Solve -n*t - 14 = d, -5 + 27 = -2*d - 4*t for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2287 is divided by 232.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 626545604 - -4?\nAnswer: 626545611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 736 and 12098.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 143669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 6 = -p. Suppose 3*y + p - 5 = 0. Let o(s) = s + 7. Let h be o(-5). Solve 0 = -l - 2*c - 6, 0 = -h*l + 5*c + 7 - y for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*m, 3*v = -m + 31 + 21. What is the lowest common multiple of v and 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28.4*-3699088\nAnswer: -105054099.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3*sqrt(156)*5*-3)\/(3*sqrt(108)\/(2*sqrt(9))).\nAnswer: -30*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 7*f + 4. Let r(o) = -o + 3. Let w(q) = a(q) + 2*r(q). What is w(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) 3\/8 (c) -4\/7 (d) -10 (e) 5\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 1155304643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 102417?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 9*p**3 + 11*p**2 + 9*p - 44. List the prime factors of f(5).\nAnswer: 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 117 and 187122?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 6*j**2 - 3*j - 5. Let m be s(5). Suppose -2*g + 2*w = -2*w - 20, -m*w - 18 = -2*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f + 8. Let d(u) = 2*u + 10. Let h(b) = 3*a(b) - 2*d(b). Let n(t) = 5*t**2. Calculate h(n(s)).\nAnswer: 25*s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 5*z + 20, -2*z + 6 = -3*d - 2. Suppose d*j = 4*j - 8. Suppose -3*k + k - j = 0. Is k bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -146215, -292436, -438659, -584884, -731111, -877340, -1023571?\n\"Answer: -k**2 - 146218*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -457.\nAnswer: -1371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/3 - 283104776*d\/3 - 10018539274251272\/3.\nAnswer: -2*(d + 70776194)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3679*x - 16170*x + 1286573 for x.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24042143 - 64?\nAnswer: -24042240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*0.0347241\nAnswer: 0.01736205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 5*k**2 + 6*k + 5. Determine g(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -22*g + 2. Let y be i(-3). Let n(w) = 679*w + 5499. Let m be n(-8). Does y = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143004 = 2800*h - 697*h for h.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1093\/2 + 547. What is the nearest to t in 0.4, 0.5, -2, 0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**3 + 13*h**2 - 13*h + 4. Let d(g) = -g**3 + 6*g**2 - 6*g + 2. Let r(w) = 2*b(w) - 5*d(w). Let o(s) = -s. Let n be o(-3). Determine r(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 7*z**3 - 3*z**2 - 6*z - 3. Let s(o) = 13*o**3 - 5*o**2 - 11*o - 6. Let c(j) = -11*g(j) + 6*s(j). What is c(-4)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46887217, 46887218, 46887219?\nAnswer: 46887220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 12, 46, 106, 204, 352, 562, 846?\n\"Answer: 2*f**3 + f**2 + 17*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3 = 3*u, -u + 5*q + 3 = 4. Let h(w) be the third derivative of w**4\/24 + w**3 - 2*w**2. Let i(x) = x + 1. Give u*h(z) + 6*i(z).\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 5*o + 0*o)*(31 - 86 - 111).\nAnswer: 332*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**3 - 2*v**2 + v + 2. Let p be n(-3). Let r be -2 + 6\/2 - -21. Let q = -17 + r. What is the greatest common divisor of q and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 8. Let q = u - -6.7. Which is the second biggest value? (a) -1 (b) 1\/6 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3417*c**2 + 897*c - 18555784.\nAnswer: 6834*c + 897","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*b + 0*b - 7*b - b to o*b + n and give o.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 3*p - l + 14, 3*l - 48 = -5*p. Let v = -105\/2 - -55. Sort v, p, -3\/5 in ascending order.\nAnswer: -3\/5, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -183\/1085 + 4\/155. Which is the closest to 2? (a) s (b) 3 (c) -3 (d) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**4 + 6*y**3 - 144*y**2 = 0. What is y?\nAnswer: -8, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7858?\nAnswer: 2, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2344.2 + 2346.2. Which is the third biggest value? (a) -22 (b) 7 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of 0*f + 0 - 4*f**2 - 1\/12*f**4 + 1\/2*f**3. Let l(d) = d**2 + 12*d + 35. Let g be l(-9). Give j(g).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2079 - 224 = -49*g. What is the greatest common factor of 1175 and g?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 961 and 279.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 6*x**2 + 3. Let c be h(3). Suppose -c = -5*f - 12. What is the least common multiple of f and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71558, -143068, -214574, -286076, -357574?\nAnswer: -429068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (1 + 0) - (-6 - -7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1458 (b) -1 (c) -51\/106\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -26. Let n(h) = h**3 - 14*h**2 + h - 13. Let v be n(x). Which is the nearest to v? (a) -1 (b) 0.4 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 1609*h**2 - 6698*h - 132. Let t(p) = 201*p**2 - 837*p - 16. Let n(u) = -33*t(u) + 4*v(u). What is the second derivative of n(m) wrt m?\nAnswer: -394","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2 + 11. Let q(k) = -k**2 - 6. Let l(r) = -r**3 + r**2 - r - 5. Let o be l(0). Let x(y) = o*q(y) - 2*b(y). Determine x(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358152 is divided by 89171.\nAnswer: 1468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 6 + 0*k + 45 + 65 - 2*k. Let x be w(0). Let o = x - 51. What is the remainder when o is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10380138667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 451, 437, 419, 397, 371, 341?\n\"Answer: -2*f**2 - 8*f + 461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105, 20, -99, -270, -511, -840, -1275?\nAnswer: -1834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 3334390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**7*h**(-8))\/((h**5\/h)\/h*h*h\/h**(-8))*(h**3*h**(1\/5))\/((h\/h**6)\/h**8) assuming h is positive.\nAnswer: h**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ut when two letters picked without replacement from aqtlqbub.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*y**5 - 2146*y**4 + 856*y**2 - 94*y + 752361.\nAnswer: 60*y**3 - 25752*y**2 + 1712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -57 - (-111 - -29) - (12 - -1)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 12:04 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((-3)\/6)*-6. Let d = o + 0. What is the highest common factor of 6 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 53505?\nAnswer: -53505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -73 - -64 - (-2 + (-3 - (-2 - -15)))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llwwwwwllww. Give prob of sequence wwl.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -20*n - 329. What is h(-39)?\nAnswer: 451","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 5496*u**2 - 682*u - 1369. Let h be a(-2). What is h rounded to the nearest 100?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3171319*z + 3171212*z + 4411 + 7787 for z.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 5:02 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 379463 and 700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 6:08 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + -2)\/((-62)\/(-3)). Let w(r) = -r**3 + 6*r**2 - 11*r + 14. Let v be w(4). Suppose 0 = -3*j + 2*j - p - 5, v*p + 8 = 0. Which is smaller: j or d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 195\/325 + (-2)\/(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13015 and 65.\nAnswer: 169195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1304 - 754 = -91*z + 1218 for z.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-74)\/6 - (0 + 0) and 172\/32 - (-1 - 1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -16c03ac9 - -3?\nAnswer: -16c03ac6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 187 and 22779?\nAnswer: 4259673","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ywlw when four letters picked without replacement from {w: 2, r: 1, c: 1, l: 2, e: 1, y: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2 + (sqrt(76) + 4 - (-2*sqrt(19) + sqrt(19) + -1)) - (2 + ((sqrt(95) + 2*sqrt(95))*-2)\/sqrt(5))).\nAnswer: 8 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = f + 2*t + 4, -f + 5*t + 5 = 0. Solve k + 20 = -3*k - a, f = -3*a - 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2\/17, -9, 0.1, 0.3, 0.261.\nAnswer: -9, -2, 0.1, 2\/17, 0.261, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1404 to the nearest 10.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -3*i, 188*k - 189*k = -0*i + 2*i - 6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 31305*o + 2*o**2 + 7 - 31307*o + 279 - 4*o**2 in the form q + w*o + s*o**2 and give q.\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -101 + 304. Suppose -x + 236 = j. What is the lowest common multiple of 24 and x?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 17*k**2 - k. Is 6 a factor of a(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 7*g + 24. Let k = 77 + -85. Let t be v(k). Let s = 103 + t. List the prime factors of s.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 468 a factor of 285096797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3190 or -3217?\nAnswer: -3190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 200\/7 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 817, 1396, 1743, 1870, 1789?\nAnswer: 1512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10319 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2. Let v(a) = 1. Let x(f) = -2 + 2 + 4 + f + 1. Let d(c) = -5*v(c) + x(c). Give d(y(l)).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 7:28 AM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 44, 38, 8, -58, -172, -346, -592, -922?\n\"Answer: -2*v**3 + 8*v + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = n - 0. Let t(o) be the second derivative of -o**5\/20 + o**4\/2 - 5*o**3\/6 + 5*o**2\/2 - 3*o. Calculate the smallest common multiple of t(n) and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)\/sqrt(28))**2*-6.\nAnswer: -57\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 89496 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 716936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45613?\nAnswer: 45613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7815 - 7653 = 8*a - 14*a for a.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 539 divide 72420761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(165) + (sqrt(165) - sqrt(165)*1*-4) + sqrt(165))\/((sqrt(132)*1)\/sqrt(12)))\/((sqrt(60)\/sqrt(2)*1 + sqrt(30))\/(sqrt(6) + sqrt(54)*4)).\nAnswer: 91*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2\/3*f + 1\/3*f**4 - 3*f**2 - 2\/3*f**3 + 8\/3 = 0.\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-4) + (-1182)\/8. Let a be 4\/(-6) + z\/(-6). Let t be (6\/4)\/(6\/8). Solve -4*n - 4*s + a = 0, t*s - 5*s = -3 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -119535\/4 + 358637\/12. Factor -2\/3*p**2 - 2 - h*p.\nAnswer: -2*(p + 1)*(p + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 61 and 769802371.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 107 - 105. Let y(l) = -l + n*l + 9 - 10. Let m(r) = -r + 1. What is -6*m(c) - 7*y(c)?\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i**2 + 0*i + 0*i)*(-i + 25 - 25)*(2 + 7 + 14) to the form b*i**3 + u + l*i + q*i**2 and give b.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 3)*3*(2 + -3)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**16\/(x*x**14\/x)*(x*x*x**(-2))**(-1\/34) assuming x is positive.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -508 + 510. Let o(q) = -85*q + x + 319*q - 81*q - 83*q - 80*q. Calculate o(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*j**2 + 3*j**2 - 32*j**2 + (-1 + 1 - 2)*(-3*j + j + 5*j)*(3 - 3 - 2*j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + ((sqrt(2) - sqrt(8)) + -2 - sqrt(2)) - (sqrt(98) - (0 + sqrt(98)))*6) + 1 + 2*sqrt(128) + 1 + -5 + -1 + sqrt(128) + sqrt(128))**2.\nAnswer: -540*sqrt(2) + 1881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266 = -5*f - 3*d, -49 = 2*f - 3*f - 2*d. Suppose -f - 3 = 2*n. Let l = -17 - n. Calculate the highest common divisor of l and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 959543684?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 5*m + 8. Let g be n(6). Suppose z - g*z = -1. Let d = -74\/7 + 76\/7. Which is smaller: z or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -507*a**3*b*f**2 - 972*a**3*f**3 + 2*a**2*b*f**3 - a**2*b*f - 3931*a*b*f**3 + 2*a*b*f + 5*b*f**3 + b wrt a?\nAnswer: -3042*b*f**2 - 5832*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, g: 4, h: 3}. Give prob of sequence hhg.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73 - 3676*w**2 + 3679*w**2 - 37 - 36.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 435 and 673844?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -7 + (2 - -4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90950)\/(-3638)*6\/(-40)*-4.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 567401.7 centuries to years.\nAnswer: 56740170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ax when two letters picked without replacement from xaxxa?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 375126 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: Collect the terms in -15*v**2 + 9*v**2 + 8*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12b6 + 3?\nAnswer: 12b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 81618696 a multiple of 1967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from fefafwfaeaaeaawy.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 28 = -0*t + t, 28 = -2*j - 3*t. Let l = 11 + j. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1537, 1538, 1539, 1540?\n\"Answer: w + 1536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 55475, 55035, 54595, 54155, 53715, 53275?\n\"Answer: -440*f + 55915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -7*a**2 - 6*a - 6 - 6 + 3*a + 0*a. Let j(x) = -7*x**2 - 3*x - 13. Let v(b) = 2*j(b) - 3*k(b). What is the remainder when v(-3) is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0054688706 to four decimal places.\nAnswer: -0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 + -46.65. Let l = u + -4.95. What is l rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 2*k - 2. Let g be d(-3). Does 24 divide 1\/g*1*(31 + 26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-764)\/4202 - (-22818396)\/(-22). What is n rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-40)\/(-3)*2310\/(-28). Round b to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-319)\/2871*(-2)\/(8\/9)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + (sqrt(275) + -5)**2 + sqrt(539) + 0.\nAnswer: -42*sqrt(11) + 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -17. Let q = j + 10. Suppose 0 = -t - 6*x + x + 18, 0 = q*t - x - 220. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 8*t + 12. Let r be c(-9). Suppose 0*m + p - 77 = -5*m, r*m - 33 = -5*p. Solve 0 = -k + 5*k + m for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1013 (base 5) to base 16.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -7.6. Let b be (0 - (-1)\/11)*(-36)\/18. Let j = 84.3 - 84. What is the smallest value in s, -1, j, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 12 = p. Suppose -2*n + 0 = -2*f + 12, -3*f - p = 3*n. Let c be 6\/(-8) + f\/(-4). Which is bigger: 2\/7 or c?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546.9786ml in litres?\nAnswer: 0.5469786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3 + sqrt(68) - (sqrt(34)\/sqrt(2)*3 + sqrt(17)))*1)**2 - (-4*6*(sqrt(272) + 1))**2)*2.\nAnswer: -314342 - 9192*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - 4 + 0)*(p + 9*p - p) + 0*p - 9*p - p - 7*p + 2 to the form l + y*p and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 119, 240, 341, 422, 483?\nAnswer: 524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2639749279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1080)\/900)\/(1\/(-5)). Suppose 3*v + 28 = n + v, 4*v + 146 = 5*n. Suppose n = -i + p. Is i <= -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11\/31 - -161\/279. Which is the closest to -2? (a) -0.5 (b) y (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9890.014t to micrograms.\nAnswer: 9890014000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4*f - 4)*(f**3 + 3*f**3 - 6*f**3) - 49*f**3 - 71*f**3 + 96*f**3 + 3*f**4.\nAnswer: -5*f**4 - 24*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**3\/x)\/x*x**(-2\/5))\/((x\/((x**(-4)*x)\/x))\/(x**(-6)*x)))**(-11))**(3\/17) assuming x is positive.\nAnswer: x**(1551\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*2\/(-64)*-8*18\/(-12)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 10*h + 1. Let q be n(7). Let z(p) = -2*p + 44. What is the units digit of z(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -1069?\nAnswer: -1071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 9*h. What is k(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3274457 (base 8) to base 13\nAnswer: 24bba5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 166\/2822 - 50\/(-17). Solve d = -r, 3*r = m + 2*r - 5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119120, 238538, 357956, 477374, 596792, 716210?\nAnswer: 835628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 884 or 839868\/949?\nAnswer: 884","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 555, -3, 0 in ascending order.\nAnswer: -3, 0, 4, 555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*-2)\/(1\/(18\/12))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 245 and 56.\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -0.1, -23\/8, 0.01, 2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 + 127913664*h - 1022619089869056.\nAnswer: -4*(h - 15989208)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 6*x**2 + 4*x + 5. Is y(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 184 and 1081.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 6 (b) -0.14 (c) 0.017 (d) -5 (e) -7 (f) 2 (g) 3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 485 - 236. Let o = -249 + z. Factor 2\/9*b**2 + 0*b + o.\nAnswer: 2*b**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(20 + -19))\/(51*3\/(-18)).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.82 times -0.3\nAnswer: -0.246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, z: 8}. What is prob of picking 2 t?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -237, -2772, -7019, -12996, -20721, -30212, -41487, -54564?\nAnswer: -69461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 7. Let o = 1 + -0.8. Let s = 0 - -3. What is the second smallest value in s, o, x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-4*sqrt(480))\/(5*(sqrt(250) + (sqrt(250) - -5*sqrt(250))) - sqrt(250) - sqrt(250) - sqrt(250)).\nAnswer: 3*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49363 - 3702166\/75. Calculate the common denominator of -81\/200 and u.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2 + 193315*l + 3091760.\nAnswer: 5*(l + 16)*(l + 38647)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28.44 + 28. Let v = d + 0.3. Let l = v - -0.04. What is the smallest value in -0.5, l, -3\/8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x. Let n(g) = 545714*g - 1208. Let o(q) = 2715*q - 6. Let w(l) = 3*n(l) - 604*o(l). Determine w(s(p)).\nAnswer: 2718*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -170372280 by 17037228.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 843*s**3 + 1. Let k be g(1). Which is bigger: k or -1\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 4:33 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 464 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f - 7060 = -1119. What are the prime factors of f?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 smaller than 603?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 222921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bm when two letters picked without replacement from wmbmwwmmwmwmwbw?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1810538, 1810540, 1810542, 1810544?\nAnswer: 1810546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mllmmml. Give prob of sequence mmml.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 14*q - 450 = 0. What is the units digit of (-2 + q\/18)*-106?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.063476682+-8318\nAnswer: -8318.063476682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j + 14496*j**2 - 152165 - 2*j + 152165 to the form t + y*j**2 + p*j and give y.\nAnswer: 14496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 693 and 270.\nAnswer: 20790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (400\/(-32))\/(17 - 260\/16)\nAnswer: -50\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 3*d + 2 = 0, 831 = -4*d + 815 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/4*2*(3 - 5). Determine v so that -v + 1\/2*v**4 + 0 + 5\/2*v**2 - 2*v**d = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 661686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -14, -18, 230, 0, -5 in increasing order.\nAnswer: -18, -14, -5, 0, 2, 230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 2, 5*v = 7*v + f + 6. Suppose 0 = -5*d + 11 + 4. Let i be (6 - d)*v\/(-6). What is the nearest to i in 1\/4, 1, 2\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/14*(-12990)\/9093*(-1)\/((-5)\/(-1))?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z, 0*z = -r - 2*z + 4. Suppose 0 = 5*p + 6*s - 2*s - 25, -r*s = 0. Let a(q) = q**3 - 5*q**2 + q. What is the units digit of a(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.4, -2\/3, -1\/74, 2\/9, -12?\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8 + 2)\/(21 + -19). Suppose 12 = d + d. What are the prime factors of (2*d)\/(s - 4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 5*g + 3. Let n be j(2). Let y = n + 0. Let h be (-26)\/(-8) - (0 - y). Which is the third smallest value? (a) h (b) 2 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d**14*d)*d*d)\/d)\/d**8*(d\/((d\/((d*d**(3\/2))\/d))\/d))\/d**(-8) assuming d is positive.\nAnswer: d**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 6) in base 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*v + 3)*(0 - 1 - 1) + 4*v - 6*v + v + 0*v + v + v + (v - 2*v - v)*(3 - 4 - 1).\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/60)\/(12\/384) + 5 + 0\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1894 - 526. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xp when two letters picked without replacement from kkxkkkskkpkkpxkp.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 5*b + 2. Let t be a(5). Suppose -2 = g - 7. Suppose c - t = g. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 112367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-206)\/13905*126*(-1)\/2.\nAnswer: 14\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2. Let m(z) = 32547*z. Give m(t(g)).\nAnswer: 32547*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 390, 3 in descending order.\nAnswer: 390, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11001 + -4897. Suppose 38*u - a = 31*u. What are the prime factors of u?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10058, -40626, -91572, -162896, -254598, -366678, -499136?\nAnswer: -651972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*d = 80*d + 56 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1887?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3126*r**3 + 2*r**2 + r + 2. Let m be h(-2). What is m rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - -10 - (-2 - (2 + 2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - x**2 + 2*x. Let t be a(1). Suppose 0 = -7*m - t*m - 42. Find the common denominator of 483\/126 - (-10)\/m and 19\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 358966 a multiple of 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 511 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5 + 1 = 0. Let p = 1 + x. Solve p*i - i + 15 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddcddcddddddzd. Give prob of sequence ddd.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 248, 445, 602, 701, 724, 653?\nAnswer: 470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7.4 and -581237.\nAnswer: -4301153.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 4, -3, -13, -1\/30 in increasing order.\nAnswer: -13, -5, -3, -1\/30, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(((c**1\/c)\/c)\/c))*c)**(1\/4) assuming c is positive.\nAnswer: c**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 12*q + 21. What is b(-11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -0.252.\nAnswer: 0.0504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -47.\nAnswer: -14.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -9*f**2 + 8*f + 17. Let d(h) = -14*h**2 + 12*h + 26. Let c(z) = 5*d(z) - 8*j(z). Factor c(l).\nAnswer: 2*(l - 3)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28002.\nAnswer: 2, 3, 13, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 308595650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 2, x: 5, q: 4}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u - 15. Let v(h) = 4*h - 29. Let d(b) = 6*v(b) - 11*x(b). Suppose 2*g - 8 = 4*z + 68, -5*g + 10 = 0. Let w(t) = 1. Give z*w(a) - 2*d(a).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -22 (b) 2\/309 (c) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 50*c**2 + 34*c + 6. Is w(-8) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6546, 26062, 58566, 104058, 162538, 234006?\nAnswer: 318462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + l**2 - 4 + 6)*(3*l - 4 + 4)*(35 - 79 + 9) as y + o*l**3 + c*l**2 + g*l and give o.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = 6*j + 4*n + 13, 5*j + 5*n - 10 = 0. Suppose -5*z + 60 = -4*o, 0 = z + j*o - 4 - 8. What is the lowest common multiple of 81 and z?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b - 80?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 10*q**2)*(-3*q + 0*q + 0*q) + 0*q + 0*q + 2*q**3.\nAnswer: 32*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -543*i + 14534857 = -346*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ec when two letters picked without replacement from ctcejgtjjjjtgttjttcj?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -430.\nAnswer: -430, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**3\/5 + 7959*t**2\/5 - 852234*t\/5 - 347256 = 0. What is t?\nAnswer: -2756, -2, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 10*v**2 + 8*v + 24. What is the remainder when m(-9) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 309 + 329. What are the prime factors of d?\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3158485, 6316926, 9475367, 12633808, 15792249?\nAnswer: 18950690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 5*m - 3*k + 7 = 0, 3*m = -3*k + 15. Let o be (3\/3 - m) + 60. Find the common denominator of -2 + 1\/(o\/321) and 85\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13244 and 344?\nAnswer: 26488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*l - 3*s - 12, -3*s = 3*l + 15. Suppose l = -2*y + 3 + 3. Solve -2*n - u = 3, y*n - 12 = -n + 4*u for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -0.2. Let d = -5.2 + f. Let y = -11 - d. Which is the biggest value? (a) 5 (b) -0.15 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2\/7 + 29331*p\/7 - 906378\/7.\nAnswer: -3*(p - 9746)*(p - 31)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4996*q**2 + 26306. Let p(l) = 2*l. Determine f(p(m)).\nAnswer: 19984*m**2 + 26306","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 593*k - 1 + 1.\nAnswer: 593*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22054 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -2*m - 4*m**2 + 2\/3*m**4 - 5\/6*m**3 - 1\/20*m**5 + 0. Let h be q(7). Solve 0 = -3*o + h, 4*l - 14 = 2*o - 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xbbetebetgegbtbe. What is prob of sequence beee?\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 5:46 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-7) - 239085\/10143\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7 - 5\/(10\/4). Let m = 19746\/23 - 858. Let x = 14\/115 - m. Put 4\/5, a, x in descending order.\nAnswer: a, 4\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -201.3 and 0.345?\nAnswer: -69.4485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/171*42\/84?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 820 - 577. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m = -21*m. Let k(f) = f**3 - f**2 - 2*f + 6. What is k(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 4:44 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/9 - 1858*w**2\/9 - 11252*w\/9 + 29920\/9.\nAnswer: 2*(w - 935)*(w - 2)*(w + 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 4*c - 45985 = 3*c, 0 = 3*l + 4*c + 27614. Let z be (1 - -9)*(l - 2). Round z to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/(15\/(-12))*44\/(-8). Let t = 61 + -38. Let x = t + l. What is the greatest common divisor of 5 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/10600 and 17\/81638020.\nAnswer: 816380200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 61*j**3 - j**2 + 9*j + 10. What is w(-1)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*a - 46*a - 4 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-84)*-7)\/((-289)\/68)\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 2)\/(-1 - 0). Suppose 3*f + 3*i - 30 = 0, 2*i = 2*f - j*i - 8. Let c be 1 + -1 - -2*14. Calculate the greatest common divisor of c and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + -17.3. Let y = s + -5. Let h = 1.7 - y. Which is the nearest to 0? (a) h (b) 1\/4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2108 + -2110. Sort 1, 5, v, 4, -4.\nAnswer: -4, v, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1052.667986 rounded to the nearest integer?\nAnswer: -1053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 1:31 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 685 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + (-3)\/2)\/(435\/870).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 238 = b, -10*x + 5*x - 10 = 0. Is 14 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**31*(v**(1\/7)*v)\/v*((v*v*v**(-4\/5))\/v)\/v*v*v\/((v*v**(-30))\/v*v) assuming v is positive.\nAnswer: v**(2147\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m + 9. Let n(d) = -15108*d - 158634. What is -17626*j(p) - n(p)?\nAnswer: -2518*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 131*c - 20 - 17 + 37 in the form n + v*c and give v.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -12 - (1 + 5)) + (-5 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-4)*(-1 + 0 + 2). Let g be ((-4)\/6)\/((-2)\/15). Sort 0, g, y.\nAnswer: 0, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 12*s. Let p = 28 + 6. Let b = p - 19. Let c(d) = -3*d. Calculate b*c(r) + 4*f(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*v, -5*j + 0*v + 2*v + 162 = 0. Let s = 59 - j. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3007*n - 10*k = -3002*n + 10, -2*k - 14 = -5*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 1:42 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1178185710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8720 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: Does 53 divide 1150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 5*q**3\/3 - 6*q**2 + 7*q - 37. Let i be l(2). Let j = -1 + 1. Solve -3*k + 2*n = -12, i*k + n - 10 - 2 = j for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of 0 + 0*l**2 - 5\/2*l**3 - 1\/12*l**4 - 7*l. Find the second derivative of o(a) wrt a.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -8\/65355447?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -13. Let s be z\/8 + (-10)\/4. Is 7\/s*-4*3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -59153 bigger than -59445?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*n - n. Let m be 378\/(-91) - (n + 1*-2). What is the third smallest value in -0.3, -0.08, m?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (8\/(-4))\/1. Suppose 29 = 3*b - f*p + 8, 18 = 2*b - 3*p. Factor -6*l**3 + 0*l + 0 - 15\/4*l**4 - b*l**2 - 3\/4*l**5.\nAnswer: -3*l**2*(l + 1)*(l + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5785, 5784, 5781, 5776, 5769, 5760?\n\"Answer: -f**2 + 2*f + 5784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t - 3. Let v(a) = -266*a + 38. Calculate -16*f(d) - v(d).\nAnswer: 314*d + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.16278 from -22.\nAnswer: -21.83722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/((-81)\/(-36)*(-1)\/(-9)) - -4. Solve 9*b = -r + 27 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 1. Let a(u) = u - 4. Let f(y) = a(y) - 6*l(y). Let p be f(6). Calculate the common denominator of 7\/(-11)*p\/(-8) and 143\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 595, 538, 465, 370, 247, 90, -107?\n\"Answer: -t**3 - 2*t**2 - 44*t + 642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m + 1 + 6*m - 3*m)*(-4 + 4 + 5)*(259 - 110 + 67) as x*m + n and give x.\nAnswer: 1080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 246 = -3*o + 270 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1330 - -1331. What is the greatest common divisor of 71 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 135.\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 10:25 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*a**2*f*z + 92*a**2*f - 2*a**2*z**2 + a**2*z + a*f*z**2 + 3*a*z + 33*f*z + 2*f wrt a?\nAnswer: -8*f*z + 184*f - 4*z**2 + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2900611 to the nearest integer?\nAnswer: 1703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -7*h**6\/36 + h**5\/15 + 270. Let g(b) = 0. Calculate b.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -11*((-75)\/33 - -2). Solve 3*o - j = 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -8*v**3 + 6*v**2 + 3*v + 122. Let d(h) = -h**3 + 20. Let o(c) = 7*d(c) - i(c). Let s(b) = -9*b - 1. Let m be s(-1). Does 12 divide o(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -178, -318, -462, -610?\n\"Answer: -2*r**2 - 134*r - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98866*p - 98866*p + 3*p**2 - 2*p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1926.3363 minutes in hours?\nAnswer: 32.105605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 8869 = -2*i, 3*z = 3*i - 0*z - 13296. What is the greatest common divisor of i and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -5 and 150248 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-39)\/7)\/(2\/(-7)). Let l = n - 21. Let i = 7\/24 + -13\/72. Put -4, l, i in decreasing order.\nAnswer: i, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01361991 times -24?\nAnswer: 0.32687784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 9 - 35)*(-p + 0*p + 0*p)*(-2*p + 3*p - 3*p)*(-15*p - 35*p - 20*p) as a*p**2 + s + t*p + i*p**3 and give i.\nAnswer: 6580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of c**5\/60 - 5*c**3 + 2*c + 45. Let l(y) be the third derivative of p(y). Let w(q) = 29*q. What is w(l(s))?\nAnswer: 58*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*a = -0*a - 30, -4*f + 40 = 2*a. Suppose -9*t + 4*t - f = 0. Let h be (1 + -1)*t\/(-2). Solve h = 3*w - 5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(((-27)\/(-6))\/9). Let y(t) = -8*t**2 + 2*t**3 + 7*t**c - 2*t**2. Let z(g) = 4*g**3 - 7*g**2. Give 7*y(q) - 3*z(q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, z: 2, c: 3, w: 4}. What is prob of picking 1 z and 2 d?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1389394 by 15.\nAnswer: 1389394\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11.24 - 1.22. Let i = q + -10. Let g = i - 0.02. What is the third biggest value in 1\/3, g, 0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4578 by -6.\nAnswer: 763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -42\/2813?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((10 - -1) + 5)*2\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 3, q: 2, f: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 96*z**3 - 10*z**2 + 85*z - 95. Is y(7) a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0499 + -26.3501. Let q = g - -26. Sort -6, q, -0.7 in descending order.\nAnswer: q, -0.7, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6945543 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -37. Suppose 100 = 29*l - w*l. Is 9 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in nineteen quarters of a millennium?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -16. Calculate the least common multiple of 10 and 3\/(n + -4) + 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -114 + 2?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4184192 is divided by 247?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -4285 in decreasing order.\nAnswer: 4, 2, -4285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2842006.184 rounded to the nearest 1000?\nAnswer: -2842000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 503113786?\nAnswer: 2, 7, 107, 335857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -520*s - 3*s**2 - 5 + 4*s**2 - s**3 - 2*s**4 + 523*s + 3*s**3 + 5*s**2 in the form p*s**4 + t*s + u + y*s**3 + r*s**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - (0 - (-2)\/(-2)). Let o = -70 + 632\/9. Which is smaller: t or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9841*y = 10053*y + 2756 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -0.04 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cww when three letters picked without replacement from {c: 3, w: 13}?\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -32*k**3 + 7*k**2 - 13*k - 75. Is i(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 - -103\/4. Let w(i) be the first derivative of 2\/3*i**3 + v*i**4 + 0*i**2 + 0*i + 4. What is the third derivative of w(x) wrt x?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 16\/15, -5\/3, -3, -0.11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 65977270 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 66042 divided by -3669?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (1 - 0 - -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.232 + 8.032. Let k be (-78)\/2*-1 + -3. Which is the second smallest value? (a) r (b) 1\/4 (c) -5 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from igxdigykk. What is prob of picking 2 y and 1 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 1:33 PM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of f**7\/504 - 7*f**6\/720 - f**5\/120 + f**4\/4 - 5*f. Let o(m) be the third derivative of r(m). Is o(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27566 to the power of 1\/2, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 333020111 (base 4) to base 6\nAnswer: 5313045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 10:02 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 106*n**2 + 1126*n - 183. Let a be i(-94). Solve -a + 39 = -17*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175340 is divided by 327?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.02 and 1944358804?\nAnswer: 1944358803.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from luluulluul. What is prob of picking 2 l and 1 u?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**3 - 6*t**2 + 2*t - 7. What is the remainder when a(-5) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from bbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 5*b - 95. Calculate the remainder when b is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**5 - u**5 - 3*u**5 + (3*u + u - 7*u)*(2*u**4 + 2 - 2) - 2*u**5 + 4*u**5 + 0*u**5 + u**5 + 2*u**5 - 5*u**5)*(4 + 0 - 1).\nAnswer: -27*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -2)*218 - -3. Let v be ((-21)\/(-6))\/(8\/16)*1. Suppose 11 = u + m, -v*m - 43 = -3*u - 5*m. Calculate the greatest common divisor of u and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-1 + (-12 - -7) - -10) + -4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 14*v**2 + 8*v + 5. Let t(z) = -13*z**2 - 7*z - 4. Determine -4*a(h) - 5*t(h).\nAnswer: 9*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 8. Suppose -3*b + 96 = 21. Suppose 45 = 4*s + 2*t + 3*t, 0 = -5*t + b. Solve -20 = 2*y - i*p, 4*y - s*p + 22 = -4*p for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, p: 7}. What is prob of sequence pph?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -134 - 9032748781.\nAnswer: -9032748915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 2568 and 2568 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + j - 6. Let c(l) = l - 5. Let w be c(6). Suppose 5*t = w + 9. Suppose -t*r + 7*r = 0. Calculate v(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1132*m**2 - 261*m + 527*m - 266*m to the form v*m + h + q*m**2 and give q.\nAnswer: 1132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.36 + 0.3. What is the nearest to -2\/3 in -2, i, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h - 6. Let c be z(7). Let k(g) be the third derivative of 19*g**4\/6 - 5*g**3\/6 - 2*g**2 - 10*g. Is k(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 940 is divided by 149.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -172 + 192. Suppose j*v + 2 = 2. Solve -f - f + 2 = v for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26972126 is divided by 328928.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001478909 rounded to four decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 172 + -164. What is the least common multiple of 145 and q?\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 1775?\nAnswer: 177.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -135585.2\nAnswer: -135585.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3048680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-1248)\/112)\/(2\/(-14))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95369415 to the nearest integer?\nAnswer: 9766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 87, 182, 303, 444, 599, 762, 927?\nAnswer: 1088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -35, 2\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -18 + 6*l - 29 + 12. Let z = 30 + -13. Is r(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4239 - 364*q - 4239)*(-8 + 3 - 5).\nAnswer: 3640*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 86632679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98 = -30*k + 44*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 1\/5, -1, 1194, 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2321 is divided by 573.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36648719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 0. Let l = 7 - 5. Suppose -l*o - o + 69 = k. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78 and 4548726.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -9*o**2 - 143*o + 114. Calculate r(-17).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*z = 504 - 373 - 524 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k + 1. Let p(v) = v + 3. Let r be p(-4). Let d(x) = -7. Let j(n) = -114. Let w(a) = -33*d(a) + 2*j(a). Determine r*w(z) + c(z).\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -483 in descending order.\nAnswer: 3, 0, -483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8.2 + 8. Let u = 5544 + -5543. What is the closest to u in 0.18, b, -1\/3?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b + 22. Let m be t(-6). What is the third derivative of 6*x**2 - 117*x**4 - x + 70*x**5 + 117*x**m wrt x?\nAnswer: 4200*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 69 divided by -1256\nAnswer: -69\/1256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from sibsiitstsiestib?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 113 + -118. Let r(b) = 2*b**2 + 7*b + 8. Let j be r(t). Calculate the greatest common divisor of j and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 81 and 5400?\nAnswer: 16200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2878.1 + 5522304824?\nAnswer: 5522301945.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1346776 to the power of 1\/3, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 i when three letters picked without replacement from {i: 6, o: 12}.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/15)\/((-2)\/80). Let m(t) = 12*t - 132. Let q be m(11). Suppose -5*g + 15 = q, -40 + 25 = -5*a + 5*g. Which is bigger: b or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35492978919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 532 and 52?\nAnswer: 6916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 83*j**2 - 11*j - 317. Is n(76) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 18 = v. Let s = v + -7. Let x be s\/(-4)*(-12)\/2. Solve 4*h + 2*t = -20, 4*h = x*h - 2*t - 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 93553524 to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-8*(-4)\/64)*(-1001)\/(-154)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 201332104214 - 13?\nAnswer: 201332104201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 2\/1690183?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14548 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 the next term in 26, 94, 280, 644, 1246, 2146, 3404, 5080?\nAnswer: 7234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -115.774 - -112.77404. Let h = b + 3. What is h rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 647 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*t - 3*t + t)*(0 - 7 + 8)*(-4*t + t + t) to b*t + j*t**2 + l and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -996, -995, -994?\nAnswer: -993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/126)\/(1\/4). Let x = 3 + -3.1. What is the nearest to -0.2 in s, 0, x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2456163202 + 2?\nAnswer: 2456163204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 4*g + 24, 5*g - 25 = -2*t - 38. Let x(h) be the third derivative of h**5\/10 + h**4\/24 - 12*h**2. What is x(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a centimeter in micrometers?\nAnswer: 62000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 7*x + 4. Calculate i(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**5\/2 - 861*y**4\/2 + 2190*y**3 = 0. What is y?\nAnswer: -292, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -11*x + 3*x. Suppose -2*k + 3*y = x - 6, -y + 14 = -4*k. Let h(o) = 3*o + 4. Let q(l) = -l - 1. Let t(c) = -h(c) - 4*q(c). What is t(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-1))\/(35\/(-21))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 10) in base 3?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 168. Let w be s(0). Suppose -18 = -6*r + w. Solve 5 = u, -4*g - 2*u = 1 - r for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) - (-3 + sqrt(832) + sqrt(832)*1) - sqrt(104)\/(-3*sqrt(128)))**2.\nAnswer: -95*sqrt(13)\/2 + 118621\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -187 (base 12) in base 3?\nAnswer: -100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q - 7. Let s be f(-8). Let g = -13 - s. Calculate the remainder when 29 is divided by 1 + g\/3 + 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 232043042 to the power of 1\/3, to the nearest integer?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/9 + (-32)\/(-144) - 82\/6?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34539141 and 1365?\nAnswer: 172695705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-2) - (-1 + 2). Let b = 24154 - 24154.2. What is the closest to 1\/2 in b, -17, v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**2 + 407477 - 815510 - 3*k**2 + 416162 to the form y*k**2 + s*k + o and give o.\nAnswer: 8129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 372, 464, 566, 678, 800?\n\"Answer: 5*m**2 + 77*m + 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 863*d**2*g**3 + 24*d**2 - 254*d*g**3 + 72*d wrt d.\nAnswer: 1726*g**3 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1066076 to the power of 1\/3, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -44800122 - 2\nAnswer: -44800124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1633.\nAnswer: 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v. Let w(z) = -5*z. Let a(n) be the second derivative of -11*n**3\/6 - 55*n. Suppose 3*h = -1 + 7. Let l(p) = h*a(p) - 5*w(p). Give y(l(b)).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/384 and -7\/81520?\nAnswer: 1956480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/79 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -3*w - 5*g + 105, 4*w + 2*g - 272 = 0. Calculate the remainder when w is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -5*d - 34. Calculate the least common multiple of d and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*5*((sqrt(500)*2*-4 - sqrt(500))\/(sqrt(10) + sqrt(90)\/sqrt(225))*-6 + -1).\nAnswer: -30 + 6750*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -242 - a + 169 + 77.\nAnswer: -a + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of b**4\/20 - 3*b**3 - 93*b**2\/10 + b - 115. Suppose a(q) = 0. Calculate q.\nAnswer: -1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sp when two letters picked without replacement from ppsohooopsoo.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 22\/70 + 4\/14. Let j = 1.4 - -1.6. Which is the closest to -1\/3? (a) n (b) j (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2. Let j(z) = -9*z**2. What is -5*j(k) - 40*p(k)?\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5*x + 2. Let d(v) = 3 - 9*v - 2*v + v + 5*v. Let q(k) = -k. Let r(u) = d(u) + 5*q(u). Give -7*a(n) + 4*r(n).\nAnswer: -5*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4918 (base 10) to base 15.\nAnswer: -16cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x + 0*x**3 + 5*x**3 - 2*x**3 - 2*x**2 - 4*x**3 - 1. Let m be k(-3). Suppose 0 = 2*f - 0*a - 3*a - 24, -m*a = 4*f - 4. Does 3 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 5*z + 35 = v - 8*z, 0 = -2*z - 20 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 4*u. Is -2\/7 greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1201852*c = 1202201*c - 44323 for c.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 131602022?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 0, -3, -5 in descending order.\nAnswer: 0, -3, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0642492863 to three dps.\nAnswer: 0.064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-676)\/(-1690))\/(62\/10)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g + 6. Let y be q(-7). Let h(n) = -113*n**3 + n**2 + n. Is h(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02234 rounded to four dps?\nAnswer: 0.0223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 94627505591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -311, -4, 4, 3 in decreasing order.\nAnswer: 4, 3, -4, -311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -756\/35345 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**2\/9 + 2912*j\/9 - 1059968\/9 = 0?\nAnswer: 728","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + sqrt(360)\/sqrt(32))\/((sqrt(72)\/sqrt(2))\/sqrt(4)).\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(130)\/sqrt(5))\/sqrt(2) - sqrt(13) - (sqrt(13) + 0 + sqrt(39)\/sqrt(3)))**2.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -93709913\/16 + 5860774. Let y = 3900 - d. What is the common denominator of 5\/48 and y?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67075628 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 4*c. Let v be x(3). What is the second derivative of -y - 2*y + 0*y + v*y**2 - 4*y**2 wrt y?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 9914076.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g + 17. Let y be l(-18). Let z = 0.7 - 1. Let w = 0.2 - z. Which is the second biggest value? (a) -4 (b) y (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*u**2*x**3 + 301*u**2 - 34*u*x**3 + u*x**2 wrt x.\nAnswer: 36*u**2 - 204*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 9 + (-25 - -3 - -2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.72 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/4)\/((-2)\/(-8)). Let x(p) = p**3 + 2*p**2 - p. Let r be x(l). Let 8 - 2*d + d**2 + d**r - 5*d - d = 0. Calculate d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -4*q - 10. Let d be o(9). Let g = d - -76. Suppose -x - z - 26 = -3*x, g = 2*x - 3*z. What is the remainder when 22 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**3\/3 + 112811*d**2 - 9544797696*d + 28634054656\/3 = 0 for d.\nAnswer: 1, 169216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 15*w + 396. What are the prime factors of (-4242)\/(-22) + -1 + 6\/w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**5 + 6*u**5 - 2*u**5 + (-19*u**4 - 18*u**4 + 60*u**4)*(-u - u + u)*(4 - 3 - 3)*(-2 + 1 - 1).\nAnswer: -88*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 177296 divided by 273?\nAnswer: 25328\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 980 and 17983.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aeb when three letters picked without replacement from {f: 7, b: 1, a: 2, p: 1, e: 4}?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 1 = 21. Calculate the least common multiple of 10 and y\/(10\/3)*4.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1306782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 457\/4211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -21*q**3 - 13*q**2 + 13*q + 13. Let l(v) = -98*v + 6. Let g be l(0). Let z(d) = 5*d**3 + 3*d**2 - 3*d - 3. Give g*o(t) + 26*z(t).\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -54 + 407535?\nAnswer: 407471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.95 - 0.75. Let c = -16.3 - -17. Let w = c + h. What is the third smallest value in 2, 3, w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1001 and 273?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wvdk when four letters picked without replacement from {d: 2, v: 1, w: 2, k: 1, x: 4}?\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (0 + (-19 - -5) - 43) + 2\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 919430?\nAnswer: 2, 5, 91943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 31*u**2 - 36*u + 2. Let w(p) = -32*p**2 + 36*p - 3. Let r = 94 + -91. Let o(y) = r*h(y) + 2*w(y). Find the second derivative of o(z) wrt z.\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = -6*i. Let n(c) be the second derivative of 0*c**2 + 1\/4*c**5 + i + 0*c**4 - 1\/2*c**3 + 5*c. What is the second derivative of n(j) wrt j?\nAnswer: 30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 70?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -34 + (2 + 1)\/1. Let t = o + 43. Solve -v + t = 2*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(4\/156)\/(6 + (-11 - -4))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228 = 3*y + 4*a - 187, 3*y - 4 = 5*a for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*p + 3. Suppose -4*h - p*x = -25, h + x - 8 = -2*x. Suppose -5*g - 45 = -b, h + 3 = -4*g. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -45.5 and -0.3.\nAnswer: 13.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3acc (base 14) to base 6.\nAnswer: 120004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55 - -57. Let q(l) = -l**3 + 3*l - 3. Let f be q(2). Let x = m + f. Let b(w) = -w**2 + w. Let v(g) = -g**2 + 3*g - 3. Calculate x*b(i) + v(i).\nAnswer: 2*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16092.\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -18 + -15 + 2 + (-98 - -243) - 2?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + n + 21 = 3*r, -4*r + 3*n = -23. Suppose 3*z - 7 = -2*u, u + r*z = -0*z + 4. Find the second derivative of -c**2 - 2*c**2 + 5*c**u + 2*c - c wrt c.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (102\/8)\/(21\/(-56))*-27*41\/(-2214).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010292 rounded to 4 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**5\/7 + 25860*x**4\/7 + 41627720*x**3\/7 - 544942360*x**2\/7 + 964898100*x\/7 - 461609324\/7 = 0. Calculate x.\nAnswer: -3239, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -414 = -5*g + 4*t, 0 = 4*g - 3*t - 225 - 107. Calculate the highest common factor of g and 215.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 10*q - 14. Give t(-12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of 8*k**5\/15 + k**4\/4 - 8*k**3\/3 + k**2 - 81*k. Is 58 a factor of p(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 5*i + 94, 4*i - 5*u = -10 - 80. Let a be (-2)\/(-5) + (-112)\/i. Suppose -3*f + 15 = -a. What is the remainder when 20 is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 769\/15380 + (-99)\/(-20).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a meter in centimeters?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5478780811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8002?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 29\/5 of a kilogram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3*c - 13, 5*s + c + 5 = 12. Let h be 8 - s\/4*-6. Suppose -h = l - 74. Does 19 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -1, 215 in descending order.\nAnswer: 215, 16, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 1, 3\/5, -3.16, -2\/3?\nAnswer: -3.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39909325 to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 110829113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1155343 (base 6) in base 12?\nAnswer: 2bb53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2566380*j**2 + 1863222 wrt j?\nAnswer: -5132760*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 357, 1068, 2139, 3576, 5385?\n\"Answer: x**3 + 174*x**2 + 182*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1047231 (base 9) to base 8.\nAnswer: -2113442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 15*n**2 - 21*n. Let j(w) = -3*w**2 + 4*w. Let u(s) = s**2 - 11*s + 1. Let r be u(9). Let q = r - -13. What is q*g(h) - 21*j(h)?\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -24*z**2 + 5*z + 110. Let c(u) = 15*u**2 - 3*u - 55. Determine -5*c(r) - 3*h(r).\nAnswer: -3*r**2 - 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1961498?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-4)*(-1580)\/237 + -2. Sort 2\/3, -4, x, -0.3, 0 in ascending order.\nAnswer: -4, -0.3, 0, 2\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -11059, -11060, -11063, -11068?\n\"Answer: -t**2 + 2*t - 11060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*g - 4*w - 48, 2*g - 2*w - 38 = 0. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 8, -62417, 11, 4, -1.4?\nAnswer: -62417","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(468) + sqrt(468) + 1 - sqrt(468)) + 2 - (-2*sqrt(26)\/sqrt(2)*2)**2*6)*4.\nAnswer: -4980 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 9*j - 8*j. Let v be 6\/8 - 2553\/j. Let k be -1 + -2 - v\/68. What is the biggest value in 3, 1, k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + j - 2*j)*(5951*j**2 - 5197*j**2 - 2963*j**2) + j**3 + 0*j + 0*j + (-2*j**2 + 2*j**2 - j**2)*(-4*j + j + j) + 0*j**2 + 0*j**2 + j**3.\nAnswer: -2205*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/((-70)\/(-30))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 2 + 2)*(-4*l - 3*l**3 + 4*l + (5 - 3 - 1)*(15*l**3 + 8*l**3 + l**3)).\nAnswer: 42*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-5))\/((-2)\/10). Suppose 3*k + 16 = -p*t - 2*t, 4*k = -16. Let o = -0.083 - -0.583. Which is the second biggest value? (a) 4 (b) o (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -329162, -658283, -987404?\nAnswer: -1316525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -694*y. Let x(a) = -618*a. Give x(b(u)).\nAnswer: 428892*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11877 + -11887. Put -0.1, -3, u, -4\/5 in descending order.\nAnswer: -0.1, -4\/5, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -322 - 8 = -5*s. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 15822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -215853 + 125853. Suppose -5*z + 5*o = 30, -5 = -2*o + 5. Let c be v\/((-2)\/4 + z). What is c rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 5*a + 14 = 0, -11 = 5*i - 2*i + 4*a. Let j(g) = -4*g - 78. Let y be j(-14). Sort 4, i, y.\nAnswer: y, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -297, -1779, -5269, -11601, -21609, -36127, -55989?\n\"Answer: -139*m**3 - 170*m**2 + m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37.42 + -37. Let x = 0.4115 - b. Round x to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27 by -9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2790 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 16675243, 16675240, 16675237, 16675234, 16675231?\n\"Answer: -3*b + 16675246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1204726*g**2*k**3 + 187*g*k**3 + 17666*g*k wrt g.\nAnswer: -2409452*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c - 4026 = -18*c. Suppose 4*d + 4*w = 524, d - c = -4*d + 3*w. List the prime factors of d.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13332302130 - -11?\nAnswer: -13332302113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253*i + 519 = 93*i + 14 - 455 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25384, -51104, -77164, -103564, -130304?\nAnswer: -157384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 16*i**2 - 17*i - 16. Let b be n(-17). Is (1*-3)\/(b\/688) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in 1\/3, -2, -1.4, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.78 and -34639552.\nAnswer: -34639552.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 232*k. Let q(r) = -8*r. Calculate 6*b(o) + 176*q(o).\nAnswer: -16*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 196*s. Let t(a) = 978*a. Let b(d) = 14*q(d) - 3*t(d). Let r(o) = -73*o**2 + 147*o**2 - 73*o**2. Determine b(r(y)).\nAnswer: -190*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 141 and 0.5.\nAnswer: 141.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 57682*l + 3020. Let a(d) = -153*d - 8. Let c(t) = -755*a(t) - 2*v(t). Let h(r) = r. Determine c(h(p)).\nAnswer: 151*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbxhbnxhxxnbhbbbxbb. What is prob of picking 2 b?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94230306.\nAnswer: 2, 3, 5235017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-68)*2 + ((-145)\/(-68) - 2). Let b be (-1)\/(-3)*(-18)\/(-4). What is the second smallest value in b, t, 3, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6889 * -9.6\nAnswer: 66134.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12231 to 2 dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 560 a factor of 431310320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.063780819 to three dps.\nAnswer: -0.064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/92129?\nAnswer: 2\/92129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2020021212010100 - 120?\nAnswer: 2020021212002210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 7*d. Let c(a) = -a + 1. Let f(y) = -6*c(y) + x(y). Let p(t) = -3*t - 2. Let j be p(-3). Is f(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 19*b**2 + 34*b + 3. Let d be i(17). Suppose -12*r = -13*r + d. Suppose -4*j + 4 = 0, -81 = r*l + 4*j - 2770. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1603*r - 82 = -1610*r + 3*x, r - x - 14 = 0 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 101 - 4?\nAnswer: b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 109, -3, -0.5, 1\/2 in increasing order.\nAnswer: -3, -0.5, 1\/2, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 7 + 20*o - 1 to the form t*o + q and give t.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 690 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4750)\/1140)\/((-20)\/8). Find o such that 1\/3*o**5 - l*o**4 + 0*o + 8\/3*o**3 + 0 - 4\/3*o**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -4*v**3 - 8*v - 21. Determine s(-2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 130509895?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/2 - (-24)\/32. Let l(d) = d**3 - 3*d**2 - 3*d - 1. Let t be l(4). What is the third smallest value in t, -3, n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 252 + 355 + 240 + 246 + p - 1093.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1088, -2194, -3314, -4454, -5620, -6818, -8054, -9334?\n\"Answer: -s**3 - s**2 - 1096*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-100)\/(-30) + (-4)\/12. Find the second derivative of 4*x - 3 + 6*x + 18*x**z - 25*x wrt x.\nAnswer: 108*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103473383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 + -5)*2\/2. Let g be 0\/y*(-10 - -11). List the prime factors of 2 - g - (6 - 39).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c (base 14) in base 12?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*t = -47*t - 23750. What is the thousands digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210332 = 80*h + 207372 for h.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**5 - 28239*d**4 + 197940*d**3 + 1129812*d**2 - 5540400*d - 13564800 = 0 for d.\nAnswer: -9420, -5, -2, 6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 + 41*z - 11. Let v be m(-21). Suppose -v*i + 521 = -559. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -14 + (-156422)\/126 + -7 + (-1 - 7). Which is smaller: i or -1270?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*a + 600 = 38*a - 47*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*i**3 - 3*i - 9*i**2 + 9*i**2 wrt i.\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -523.5558 to one dp.\nAnswer: -523.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 10:13 PM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**5*z**2)\/((z**(-3\/7)\/z)\/z*z\/(z*((z\/z**(4\/7))\/z)\/z))*((z**(-5)*z)\/(z*z\/(z\/z**(-2\/5))))**(-7\/2) assuming z is positive.\nAnswer: z**(1677\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Solve -1793*z - 6311 - 7158 - 13555 = -1922 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-125)\/41 + 3 - -10*(38 + (-51153)\/1394).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4876 = -20*g - 71*g - 3511 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42804 is divided by 10670.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/115875 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 101*g + 1434. Determine x(-84).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3878628 is divided by 827?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*o + 9296 = 381*o for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**2 + 17*l + l**2 - 5*l**2 - 2*l**2 - 2*l**2 to c*l + x*l**2 + d and give c.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42 - 115. Let y = 46 - t. Let v = -80 + y. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**4 - 9*b + 2*b - 9*b - b**4 wrt b.\nAnswer: -36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**4 + 3*w**4 + 5*w**4 + 6*w**4 - 4*w**4 + w**4 + (2 + 0 - 1)*(-2*w**4 + 5*w**4 - 5*w**4).\nAnswer: 11*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 12 + 0 = 0. Suppose 2*u = 10, 4*u + 109 = -3*h + p*u. Are h and -32 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + (-2)\/4*14. Find the common denominator of -9\/11 and -2 - 1\/w*-7.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-494)\/336 + 530\/371. What is the smallest value in b, -14, -1?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u + 6. Let h be q(5). Let d be (4\/22 - 168\/77)*6\/(-12). Sort d, h, -5 in ascending order.\nAnswer: -5, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -16, -37, -66, -103, -148?\nAnswer: -201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 665346?\nAnswer: 2, 3, 11, 17, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 17190 = 44*i. What is the remainder when i is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*f**2 - 3 - 29*f**2 - 41555*f + 41555*f + 3.\nAnswer: -40*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 3 + (0 + 1 - 2)*(7 - 4 + 7) - 1 + 2 + 0)*(23*v**4 - 3*v**4 + 116*v**4) to the form b*v + n*v**2 + x*v**4 + j + p*v**3 and give x.\nAnswer: -1360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -10*r**2 + 20*r + 94. Let j(z) = z - 1. Calculate -36*j(y) - 2*k(y).\nAnswer: 4*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (70\/(-40) + 1)*(-24)\/(-27).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 7*o = -4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d8aec + -4?\nAnswer: -d8af0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 8:13 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9117 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -684 + 687. Solve -a - 5 = -t*p, 0 = -5*a + 1 - 11 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, g: 9, o: 3}. What is prob of picking 1 o and 2 w?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 769 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97986, -97984, -97982, -97980, -97978, -97976?\nAnswer: -97974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, p: 1, h: 1}. Give prob of picking 1 h and 1 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/(-104) - (-41)\/13 - 1. Let x(t) = -3*t**c - 1 + 14*t**3 + t**2 - 15*t**3. Give x(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5 = -2*q, 5*q + 3*i + i = 8. What is the lowest common multiple of 52 and q?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49 + 50 - 149 + d**2 + 50.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 6*v - 4. Let x be m(7). Let o = -5 - x. What is the remainder when 21 is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.192 rounded to one dp?\nAnswer: -5.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61615112?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -412742, -412745, -412748, -412751?\nAnswer: -412754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17 and 736874112?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52*(23\/(-276))\/(2\/(-12))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18*4\/(-56))\/(-3).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1056951852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**4\/5 + 4090254*s**3\/5 + 1115346003684*s**2 + 2534480657276875714*s\/5 + 7603391781370898139\/5 = 0. What is s?\nAnswer: -1363417, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84241506 + -0.2556486.\nAnswer: 84241505.7443514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -3*o + 2 + 18, 0 = 5*y + 10. Let l = -2 + o. Calculate the remainder when 36 is divided by -3*26\/(-12)*l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 41121, 2.\nAnswer: 0.2, 2, 41121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -46 divided by -5\nAnswer: 46\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 400 and 1533.\nAnswer: 613200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -7*u**2 - u**2 - 7 + 9*u**2 + 14 - 8*u. Let s be m(7). Factor 9\/5*q**3 + 3\/5*q**4 + 3\/5*q + 9\/5*q**2 + s.\nAnswer: 3*q*(q + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10720 - 11554 = 149*c - 34359. What is the remainder when 467 is divided by c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1\/x)**(-1\/13)\/(((x\/(x*x\/(x*x\/x**(2\/7))))\/x)\/x)**(-43)*(x*x\/(x\/(x*x\/((x\/x**(-2\/3))\/x))))**(-14\/9)\/(x*x**(1\/2))**(1\/4) assuming x is positive.\nAnswer: x**(-89647\/1512)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-3)*48\/32.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8543.6 bigger than -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ujun when four letters picked without replacement from yynnyndnnyjnnnnyjuun?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79627830.\nAnswer: 2, 3, 5, 17, 43, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4*(0 + sqrt(304)) - sqrt(304))**2 + sqrt(133)\/(sqrt(7) - -3*sqrt(112)).\nAnswer: sqrt(19)\/13 + 2734","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (57 - 53) + -3 + 1 + 4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 21*(-7 - (-156)\/18). Solve 4*w + 3*w = l for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 285.3027717 rounded to two decimal places?\nAnswer: 285.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 2 + 6. Let j(t) = t - 10. Let m(v) = v - 12. Let a(g) = 5*j(g) - 4*m(g). Calculate a(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13725 and 54398275.\nAnswer: 1525","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y + 4 - 4 - y - 4*y + 4*y + y - 3 + 3 + (4*y - 5*y + 2*y)*(1 + 1 - 1) + (-2*y + 2*y - y)*(60 + 19 - 15).\nAnswer: -60*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -33189, -66376, -99563, -132750, -165937, -199124?\n\"Answer: -33187*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221659657 + 17*u**2 - 221659657.\nAnswer: 17*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12 and 28.8.\nAnswer: 345.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - b4?\nAnswer: -b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 5. Suppose -r*b = 2*b, 0 = 5*d + b. Find the first derivative of d - 1 + 0 - 2*p**2 wrt p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7990\/30129 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by 17057.\nAnswer: -12\/17057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 13 + (9 - 12) + 27 + 3 + -34?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*s + 499 = 769. Let b(c) = -3*c**3 - 2*c**2 + 6*c + 1. Calculate b(s).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 61 + -35. Let a(m) = -33*m + 10. Let j be a(-6). Calculate the highest common factor of c and j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + (2\/(-7))\/(4\/(-14)). Solve 5*l - s*r = -7, 86*l - 90*l - 5*r + 19 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1127\/8 - (-2)\/(-32)*-2. Let f = 45 - h. Let k = f + 98. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6\/2767 + -118657\/149418. Calculate the common denominator of a and 71\/3564.\nAnswer: 3564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 30860\/103 or 300?\nAnswer: 300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 2*k + 50, -3*u = 2*u + 2*k - 139. Suppose -2*r = r - u. Let x be 7\/(-3)*(0 - r). What is the greatest common factor of 189 and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7176048, -28704196, -64584442, -114816786, -179401228, -258337768, -351626406?\nAnswer: -459267142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of y**5\/480 - 5*y**4\/192 + y**3\/8 - 44*y**2. What is l in q(l) = 0?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 35 = k + k, 85 = -4*k + 5*w. Let l be 6\/k - 2\/(-5). Solve 1\/3*o**5 + 0*o + l*o**2 - 2\/3*o**4 + 0*o**3 + 0 = 0 for o.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (6*45\/(-72))\/((-6)\/496) is divided by 79.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 6:57 PM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/5 - 153*i - 768\/5.\nAnswer: 3*(i - 256)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -77068*g**3 + 4*g**2 + 12*g + 6. Let x be d(-2). Let r = x - 984542. Round r to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -20, 5, -5.\nAnswer: -20, -5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 10198.\nAnswer: -3\/5099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 n when two letters picked without replacement from {r: 1, q: 3, n: 1, a: 2, x: 1, k: 5}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -89, 3573.\nAnswer: -89, -9, 3573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2624 - -0.0624. Which is the nearest to -1? (a) w (b) -3\/4 (c) 0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q = 27*q - 13520. Let v = q + -338. Factor 0*b**2 + v - 1\/3*b**3 + 0*b.\nAnswer: -b**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44374*i**2 - 47537*i**2 + 91907*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*k + 4*k + 24. Suppose -3*s = -n + 50, -3*s + 5*n - 79 = -33. Let r = s - -35. Calculate the smallest common multiple of k and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, n: 13}. Give prob of picking 1 i and 2 n.\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6023?\nAnswer: 19, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.584 to 2 decimal places.\nAnswer: 1.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230541?\nAnswer: 3, 76847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 + 0.0648249.\nAnswer: 6.0648249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*b + 6785 - 401. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12272 and 301968.\nAnswer: 231609456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 90 + 3\/((-12)\/8). Let m be 2\/11 + 248\/n. Let v(s) = 279*s + 2. Is v(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {m: 1, z: 7}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 w when three letters picked without replacement from nznmwwznmnnz.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 64899782 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*h**2*k*z + 166*h**2*k - 67*h**2*z + 69*h*k + z wrt z.\nAnswer: 13*h**2*k - 67*h**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-2)\/(15\/((-945)\/98))?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*f**2 - 65*f**2 + 195*f**2 - 66*f**2.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 1185783724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 + 1 + -2 - -2. Suppose k = -r + 2*r. What is the least common multiple of 1 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 5*z - 132 - 15, -3*y = 2*z - 147. Let x = 50 - y. What is the remainder when 4 is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -76eedb (base 16) to base 14.\nAnswer: -106c747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*k + u - 5, 4*k - 3*u + 4 = 0. Which is the closest to -0.1? (a) -2 (b) k (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97690 is divided by 1683?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 + 8 = -11*v. Is v bigger than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-19)\/(((-2)\/21)\/2). Let m = 235 - g. Is 9 a factor of (-6)\/15 + m\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.022408 rounded to 4 decimal places?\nAnswer: -0.0224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -37.1142 and -775.28706?\nAnswer: 738.17286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence twtb when four letters picked without replacement from {t: 7, u: 5, b: 1, w: 5}.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -288*g**3 - 1154*g**2 + 9*g + 58. Calculate y(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - 85. Let u = -156 - h. Let p = u + 78. What are the prime factors of p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/12)\/(90\/((-2700)\/210))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-40)*6*(-20)\/(-18))\/(28\/(-144)).\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -4*o**5 + 1092*o**4 + 12820*o**3 - 91972*o**2 - 12816*o + 90880 = 0.\nAnswer: -16, -1, 1, 5, 284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/3 (b) -5 (c) -2341 (d) -1\/8 (e) -1\/3 (f) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k - 2*k + 5*k)*(-389 + 191 + 196 + 16*k).\nAnswer: -16*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 + 139. Let i be (j\/15)\/(4\/12). Suppose 22 = 4*t + 2, i = 4*o - t. Solve 5 = 3*d - o for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 8 = -3*m. Suppose m*u + u = -5. What are the prime factors of (-2 - (-2)\/(-2))\/u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 4)*(2*u**4 + 2*u**4 - u**4) - u**4 + 4*u**4 - 2*u**4 - 2*u**3 + 2*u**3 - u**4 + (-3*u**3 - 13*u**2 + 13*u**2)*(-2*u + 1 - 1).\nAnswer: 3*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 1\/162931?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r + 0*r - 4*r. Let a = -38 + 43. Let w(c) = -a*c**2 + 9*c**2 - c**2 + 11*c**2. Calculate m(w(x)).\nAnswer: -28*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/(-2)*(76 + -8) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/15 of a decade in months?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/9 (b) -1\/74 (c) -3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6386.983291 - -1887.5.\nAnswer: -4499.483291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g**4 + 2*g**4 - 4*g**4)*(-4*g + 0*g + 2*g + (-3*g - g + 5*g)*(-4 + 2 + 0)).\nAnswer: -16*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of g**6\/10 - 2*g**3\/3 - 4*g + 4. Let j(y) be the first derivative of r(y). Find the second derivative of j(v) wrt v.\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 less than or equal to 1046749?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 35*s. Suppose 3 = -d + 6. Suppose 15 = -4*j + 3*j + 4*f, -d*f = 3*j - 15. Calculate the remainder when c(j) is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4.323992 and -5.12376.\nAnswer: -0.799768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72949.\nAnswer: 72949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-28)*(-476)\/17?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of x**3\/3 + 3*x**2\/2 - 74*x. Let k be c(-1). Solve -s + k = -3 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*a + 2*f + 29, -4*a + 34 = 2*f. Suppose -q + 4*y = 3*y - a, -3*q = -y - 14. Differentiate -r**2 - 4*r**3 + r**2 - q with respect to r.\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, 13, -279, 5 in increasing order.\nAnswer: -279, 5, 13, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*p + 69 = 0, -r + 16 = -2*p - p. Let x be (2 + 0)\/(10\/r). Solve x = -8*h + 3*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -214 + 231. Suppose 14*a + 152 = k*a + 5*y, 72 = 2*a - 4*y. Calculate the remainder when a is divided by 35.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 871 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 53*k + 111*k + 1822 - 182 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -12*y + 14*y - 86, -6*y = 108*y + 3*q - 294 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13.34, 4\/3, 2 in decreasing order.\nAnswer: 2, 4\/3, -13.34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -439034, -1756259, -3951634, -7025159, -10976834, -15806659?\n\"Answer: -439075*d**2 + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*0.079.\nAnswer: -0.237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5024?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47356 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -55*b**2 + 2037*b - 141. Calculate q(37).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43.947*-0.2.\nAnswer: 8.7894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17388, 34772, 52156, 69540, 86924?\nAnswer: 104308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*l = 51 + 45 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -110221101 (base 3) in base 5?\nAnswer: -300213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*g - 39 = -197*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -59 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1375 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5.7 (b) 6 (c) 8\/5 (d) 3 (e) -3 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1647?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/(o\/o**(1\/6)))\/o*o*o)\/o**(2\/17))\/((o**(2\/53)*o)\/o**17))**(-3\/40) assuming o is positive.\nAnswer: o**(-91963\/72080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 218.10736 rounded to 2 dps?\nAnswer: 218.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-57)\/(-114))\/((-9)\/(-12)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i*w**4 - i*w**2 + 5*i*w + 225957*w**3 + 30750*w**2 - 2 wrt w?\nAnswer: -24*i*w + 1355742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (4 + -1 + -5)) + 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2373.1 + 9?\nAnswer: 2382.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -30*y - 16. Let o(f) = -6*f - 3. Let a(i) = -2*h(i) + 11*o(i). Let p be a(-1). Suppose -19 = -p*j + 1. Solve j*c = -2 - 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32\/379 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -1850b979?\nAnswer: 1850b979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jffjgjf. Give prob of sequence gfjj.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/7)\/((-4)\/(-12)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 155 + -151. Solve 2*y = j + 14, -2*j + 5*y - a = 29 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a microgram in nanograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 24*t + 51. Let s(d) = -d. Let l be 7\/(-6) + 24\/144. Let y(o) = l*i(o) - 15*s(o). Let a be y(-6). Solve 0*g + a*g = 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13088491?\nAnswer: 13, 37, 27211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**31\/h)\/h*h*h\/h**(-22)*(h**(1\/26)*h*h*h)\/h**19 assuming h is positive.\nAnswer: h**(963\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**5\/6 + 879*q**4\/2 + 2633*q**3\/6 - 7909*q**2\/6 - 439*q + 2636\/3 = 0. What is q?\nAnswer: -2636, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -6, -4 in ascending order.\nAnswer: -27, -6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 382302 and 4773069?\nAnswer: 2853","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 0*t**2 + 6*t**2 + 42*t - 42*t. Let j(w) = -6*w**2. What is m(j(p))?\nAnswer: 216*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5698202, -5698193, -5698180, -5698163, -5698142, -5698117?\nAnswer: -5698088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 927 divide 62070738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*t - t. Suppose 12 = t*r, -7*v + 16 = -2*v + 2*r. Find the second derivative of -11*n - 12*n**5 + 8*n**5 - v*n**2 + 2*n**2 wrt n.\nAnswer: -80*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -113.\nAnswer: -56.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 10:47 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 5*u + 646 - 635 = 0, 0 = -21*p - 3*u - 81 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 214581161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rgk when three letters picked without replacement from rgk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7499902180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 493.\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25160 = -5*w + 4*f, -2*w + 3*f + 3818 = -6246. What is the thousands digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1159d365 + 2?\nAnswer: 1159d367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 84, -2, 15, -4.\nAnswer: -4, -2, 15, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67494 is divided by 978?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.22055 - -3.27947. Let f = -4.5 + d. What is f rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16092?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 441, 447, 463, 495, 549, 631?\nAnswer: 747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**4 + 34*f**3 - 192*f**2 + 416*f - 256.\nAnswer: -2*(f - 8)*(f - 4)**2*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -20*t - 50*t + 59*t + 2*t**2 + 10. What is j(7)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006922302539 rounded to 6 decimal places?\nAnswer: -0.000692","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1983610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 4*n - 792. Let x be 4\/(-16) - (n\/(-12) - 4). Is x at most 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*k**2 + 4*k**5 + 2*k**5 - 5*k**2 wrt k?\nAnswer: 360*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 5*o**3 + 5*o**2 - 9*o - 2. Let r(i) = -6*i**3 - 5*i**2 + 11*i + 3. Let h(t) = 5*p(t) + 4*r(t). Determine h(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 34, 3, -1 in decreasing order.\nAnswer: 34, 3, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43804*k**3*s**2 + 90390*k**3*s - 5*k**2*s - 28*k*s**2 + 35*k wrt s.\nAnswer: -87608*k**3 - 56*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 27 = g, -c = -3*g - 6*c + 11. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a year in months?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.3 >= 2\/297?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1050.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 26\/(-28)*4 + 4. What is the nearest to g in -0.2, -6, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 11:19 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13833 is divided by 2719?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-92 - (-145 - -86)) + -6 + -1?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 490584?\nAnswer: 2, 3, 20441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**2 + 50499*z + 101010 = 0.\nAnswer: -2, 16835","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/15 (b) 2 (c) 70 (d) -2 (e) -35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -317\/4 - -79. Let q = -1 + -2. Let j be 2\/(-4) - (-22)\/28. What is the third smallest value in q, j, b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -173\/35854?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.149224nm in millimeters?\nAnswer: 0.000002149224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/6)\/(76\/(-54)*-9)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -68*k**4 - 4*k**3 + 360*k**2 + 443200 wrt k.\nAnswer: -272*k**3 - 12*k**2 + 720*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8294 by 638.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -113, 1, 4, 3 in ascending order.\nAnswer: -113, -2, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence npf when three letters picked without replacement from pmkkfnn.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 * -497115.\nAnswer: -4474035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5408\/715 + (-44)\/121 - (3 + 3)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 82.2 - 92. Let o = r + 10. Which is the second smallest value? (a) -7\/2 (b) o (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 14903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-6) - (-16)\/6. Suppose 0 = -o*x + 15 - 1. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 12 = -2*s - 2, 2*j + 4 = 0. Suppose -3*z = 3*m + 6, 3*z + 5*m + 20 - s = 0. Is z greater than 8\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (116997*a - 43683*a - 53121*a)*(a**2 - 2*a + 2*a) as h*a**2 + i + t*a**3 + d*a and give t.\nAnswer: 20193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 677 + -683. Let z(j) = -2*j - 14. Let u(b) = 1. Determine i*u(r) - z(r).\nAnswer: 2*r + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9.980866 kilograms?\nAnswer: 9980866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*y**2 - 15*y**2 + 39*y**2 - 8*y**2 - 17*y**2 - 159 + 159.\nAnswer: 15*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xuxxxxxxxxxuxxxu. What is prob of picking 4 x?\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 31 = 3*b, -11*x = -9*x - 10. What is the second derivative of -77*y**2 + 31*y + 27 - b*y - 44*y**2 - 12*y wrt y?\nAnswer: -242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.123 and -11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 149165593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) 37.3 (b) -3 (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -46333 - -4620.16\nAnswer: -41712.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/23 + 2498*n\/23.\nAnswer: 2*n*(n + 1249)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/3)*a\/(((a*a**(2\/5))\/a)\/a)*(a\/(a\/a**(-6\/7)*a*a))\/a**(2\/19))**(-8\/5))**(-2\/23) assuming a is positive.\nAnswer: a**(-32848\/229425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-367 - -348) + 0 + -2 + (0 - -9)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((8\/(-6))\/(10\/1))\/((-40)\/120). What is the closest to -2 in -26, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -u + 699, -5*f = -5*u + 66 + 3459. Let o = u + -420. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 45, 195, 531, 1125, 2049?\nAnswer: 3375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gkm when three letters picked without replacement from zzigkmzzmkzz?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 2 t, and 1 l when four letters picked without replacement from tqqlqtplllqqq?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6\/4223 (b) -0.2 (c) 5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001086 to four decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 3 + 2*a + a**3 - 10 + 2 + 4 in the form s + j*a**3 + u*a**2 + v*a and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4049852 + a?\nAnswer: -4049843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4*f**3 - 3*f. Let s be (-10)\/4*(3 - 5). Suppose -u + s*u = -4. Let x(o) = -o**3 - o. Give u*r(l) + 3*x(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 12. Let h = 0 + q. Suppose -3*w + 0*w - 6 = 0, -h*s + w = -35. Calculate the remainder when 30 is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*w + 6*w + 8*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l + 7. Let h be q(4). Let a be 2 + 3 + h + -3. Suppose 1 = -4*i + 5. Sort a, i, -3 in increasing order.\nAnswer: -3, i, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1048 and 36.\nAnswer: 9432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5158107210 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*h**2 - 7*h**4 - 3*h + 6*h**3 + 7*h + 6*h**3 + 3*h**4.\nAnswer: -4*h*(h - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 - -29.7. Let w = m + -3.7. Sort 2, 12, w in descending order.\nAnswer: 12, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28475 + 28534. Do y and 239\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z**2 + 23*z + 7. Calculate the remainder when 64 is divided by c(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 3 + (0 - 2 - 1)*(0 - 4 + 2))*(29*j - 21*j + 41*j)*(-5*j + j + j) to the form t*j**2 + x + p*j and give t.\nAnswer: -1029","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000111111100101100 (base 2) in base 14?\nAnswer: -106d08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4 = -d. Solve y + 2*y + s = 0, 0 = 3*y - d*s + 9 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 - -22 - 3*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 127329*m*n**3*s*z - 2*m*s + 9092*n**3*s*z - 20*n**3*z + 2*n*s wrt m.\nAnswer: 127329*n**3*s*z - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/2 (b) -1 (c) 58 (d) -0.5 (e) 2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20251031 + -1?\nAnswer: -20251032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 46 = -11. Solve 3 - n = 2*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 - 1620*n - 20215.\nAnswer: -5*(n + 13)*(n + 311)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssssessss. Give prob of sequence se.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.021523354713 to 3 decimal places.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 132, 1143, 3868, 9165, 17892?\n\"Answer: 143*m**3 - m**2 + 13*m - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 63709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5101 = -29*v + 5768 for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 8*i - 60 = i - 5*x, -2*i - 76*x + 154*x - 74*x = 0 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 63273 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47 - -77. List the prime factors of g.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*x = 28, x + 0*x + 21 = 4*r. Let j(v) be the third derivative of -1\/12*v**r + 5\/24*v**4 - 1\/6*v**3 + 0 + 0*v + v**2 + 1\/120*v**6. Determine j(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 + 6 - 22) + 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 9 - 1. Let q(t) = -h*t - 19 + 19. Let p(f) = -2*f**2. Determine q(p(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 22*j - 2. Let f = 15 + -19. Let n(h) = -23*h + 1. Let m(z) = f*n(z) - 5*u(z). Differentiate m(x) wrt x.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19694592?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 4*d + 319 = 4*h, 4*h = -15*d + 3*d + 47 + 193 for h.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 h when two letters picked without replacement from {q: 1, h: 1, g: 1, t: 1, r: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-16)*2)\/(270\/360)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {g: 3, a: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xe when two letters picked without replacement from fxxfxrxfxexqfexfxfx?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 893455.9 kilograms?\nAnswer: 893455900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-18738)\/3470*40\/12\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8040351?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -367, -737, -1107, -1477, -1847?\nAnswer: -2217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36.9 - 60. Let t = 23.10000336 + c. What is t rounded to 7 decimal places?\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 5:54 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 917 is divided by 123.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4890467557?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -456*p + 2280. Let m(s) = 24*s - 120. Let j(q) = 56*m(q) + 3*o(q). Let t be j(5). Find v such that 2\/11*v**3 + 0*v**2 - 2\/11*v + t = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 111030, 229067, 347104, 465141, 583178, 701215?\n\"Answer: 118037*j - 7007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 3*y + 0*y + 64 = 0, -p - 4 = 5*y. Suppose 0 = -5*h - 3*l + 1071, 2*l + 9 = 3. List the prime factors of (h\/16)\/((-1)\/p).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**2*v**2 - 711*l**2*v + 3*l**2 - 20538*l*v**2 wrt l?\nAnswer: 4*v**2 - 1422*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -18952 to the nearest one hundred.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -11*y - 63. Let j be f(-12). Suppose -111 = -12*l + j. Solve l = 2*w + 5*k, 4*w + 1 = -3*k - 4 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*p**3 + 88*p + 116*p**5 + 49*p**3 + 84*p**4 - 112*p**5 - 84*p**2 = 0. Calculate p.\nAnswer: -22, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131 (base 7) to base 8.\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 162161857 and 286.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 128777143 and 4.4?\nAnswer: 128777138.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5278 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 107*j**3 + 216*j**3 - 27*j**4 - 4*j**2 - 109*j**3 - 6 in the form q*j**4 + s*j**3 + c*j**2 + l + b*j and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - x = 5*a + 51, 4*x + 309 = a. Let k = -73 - x. Suppose k*b + 2253 = 6*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 35 = -3*q, 0 = -4*z - 9 - 7. Suppose -6*t + t - 5 = 0. Let k = t + q. Which is the second smallest value? (a) k (b) -3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmm when four letters picked without replacement from mmmmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ytq when three letters picked without replacement from irqtiyiitiritrt.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 266 and 15694.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21016 divided by -430.\nAnswer: 10508\/215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 292*k**2*t**2 - 3*k*t**3 + 1078*t**3 - t wrt k?\nAnswer: 584*k*t**2 - 3*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -541 - -552. Which is the third biggest value? (a) 5 (b) -1.7 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*a = -185*a + 220*a + 4019 - 22196 for a.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18*780\/1080*(-35)\/(-7)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -89292363, -178584722, -267877081, -357169440?\n\"Answer: -89292359*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -7 - (4 - (-2 - -7))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 101 and 707.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 123144955 and 24628991.\nAnswer: 123144955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7.394 or -0.13?\nAnswer: -7.394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 38, 59, 96, 155, 242, 363?\nAnswer: 524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 234\/(-126))\/(6\/21). Let n(k) be the second derivative of 0 + 14\/15*k**6 + 0*k**3 + 0*k**4 + 0*k**5 + o*k + 17\/2*k**2. Differentiate n(c) wrt c.\nAnswer: 112*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -69.5 + 70. Which is the second smallest value? (a) -2 (b) 0.4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27133 greater than -27314?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 116\/145*(-10)\/(-36). Sort -4, l, -5 in descending order.\nAnswer: l, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 653.2273 rounded to the nearest ten?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-five halves of a microgram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -27*k**2 + 9*k**2 + 17*k**2. Let u(f) = 49*f. Give u(l(z)).\nAnswer: -49*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12691 - -9?\nAnswer: 12700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77662755?\nAnswer: 3, 5, 53, 32563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(3 - -1) + 2. Put n, -3, 1 in increasing order.\nAnswer: -3, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 3, -2, -1 in descending order.\nAnswer: 3, -1, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 0 = -0. Suppose f = 40*u - 20*u - 160. What is the highest common divisor of u and 424?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*m + m, 2 = -3*h + 2*m. Suppose -2*f - h*f + 33 = c, 31 = 3*f + 2*c. What is the remainder when 10 is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.9? (a) 3 (b) -4 (c) 2\/23 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218 is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12924 - -12917. Sort 1, t, 134 in ascending order.\nAnswer: t, 1, 134","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-3) - (52\/6 + -8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 1612*j**5 - 6*j**4 - 758*j + 5. Let m(x) = 2418*x**5 - 8*x**4 - 1139*x + 7. Let a(h) = 5*m(h) - 7*o(h). Find the second derivative of a(n) wrt n.\nAnswer: 16120*n**3 + 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 302724\/11 and 3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4538.307 rounded to the nearest integer?\nAnswer: 4538","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/36 and 115\/11508288?\nAnswer: 34524864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08311606935 to 3 decimal places.\nAnswer: -0.083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -57818 - -38?\nAnswer: -57770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**5\/3 + 43*i**4\/3 - 51*i**3 - 45*i**2 + 234*i = 0.\nAnswer: -2, 0, 3, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 12:24 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -373187 and 1.22?\nAnswer: 373188.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 j when two letters picked without replacement from {i: 5, n: 8, j: 7}?\nAnswer: 28\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10\/19? (a) 0.18 (b) 1\/3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 115587977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y. Suppose -t + 4 = 5*s - 5, -s + 3 = -t. Let h(v) = 2*v**2 - 5*v**s + 5*v**2. Calculate z(h(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -4*j**2. Let r(q) = 4*q - 1. Let d(z) = -228*z**2 + 24*z - 6. Let i(o) = -d(o) + 6*r(o). Give i(s(g)).\nAnswer: 3648*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.96 + 0.764. Round w to 2 decimal places.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -244 (base 6) to base 11\nAnswer: -91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = d + 1. Let u be 16\/(-6)*12\/d. Suppose u*x = 1 + 15. Let t(k) = -k**2 + 3*k - 6. Give t(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**5*z**(-1\/11)*(z**1)**(-46) assuming z is positive.\nAnswer: z**(-452\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/36*51*3. Suppose 12 = 4*d + 4*z, -d = -5*d + 3*z - 2. Suppose -2*o + d = -a. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -37 (b) -3 (c) 0.3 (d) -18.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -75 in 0.1, 4, -1.2, -0.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3*(2*sqrt(720) - sqrt(720)))\/(-1*-2*sqrt(8)\/sqrt(2)).\nAnswer: -9*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7564)\/366)\/((-1)\/(-3)*1)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1402950 divided by -1410\nAnswer: -995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 318*m**3 - 5*m**2 - 17*m**4 - 7 + 1 + 8 - 325*m**3 + 307*m - 1009*m wrt m?\nAnswer: -408*m - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3317001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -252 - -252.00000089. Round l to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = k + 3*d - 8, 3*k = 2*d + 68. Suppose 5*u - 10 - 15 = 0. Suppose u*f = -10, a - 2*f + k = 4*a. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-5))\/((-871)\/178555).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 - 3.2. Let t = -2.8 - i. What is the nearest to 1 in t, -4, -5\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 5*p**3 + 2*p**2 - 22*p + 27. Calculate t(2).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 13*k - 20. Let f be y(8). What is the common denominator of ((-1)\/f)\/(-4 - 354\/(-89)) and ((-3 - 80)*-1)\/10?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 58858 + 310. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u*u**(-1\/5)*u)*u)**0*(u**(-20)*u)\/u**24 assuming u is positive.\nAnswer: u**(-43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-2))\/(3\/(-57)). Let t = 9 - a. Is -1 <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - (sqrt(99) + sqrt(99) + -4*sqrt(99)))*3)\/(sqrt(225) + sqrt(225)*1).\nAnswer: 9*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 114008?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*z - 15 = -36*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/417, -4, 1\/3 in increasing order.\nAnswer: -4, 2\/417, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 32\/2 + 2\/(-2). Let t be ((-36)\/9 - 6\/(-1))*5. Let b = r - t. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 + -0.3. Let g = -136.005 + 136.505. Let p = 0 + -1. Sort p, w, g in decreasing order.\nAnswer: g, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 171 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 5*a - 3*d, 10*a - 3*d = 12*a - 14 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40 - 68 + 103)*(2*v**5 - 4*v**4 + 4*v**4) + 2*v**5 + 0*v**5 - 5*v**5.\nAnswer: 147*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-11))\/k)\/k)**(1\/11) assuming k is positive.\nAnswer: k**(-12\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -25 and -14?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-5)*(5 + 0). Let a be 3\/(-2)*(-8)\/v. Suppose 3*i - 48 - 3 = -3*y, a*y - i - 25 = 0. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17116 is divided by 12125?\nAnswer: 4991","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 0.25, 0.3, -2, 2 in descending order.\nAnswer: 2, 0.3, 0.25, -0.6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 5*f - 72777 + 72769 = 0, -25 = -j - 7*f for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or 357?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 658 and 1445626.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 398 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 8*t**2 - t - 4. Let w be v(-8). Let n = -2 + 20. Solve j = -w*h - n, 0 = h + 6*j - 2*j + 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 + 6*m**2 - 31*m - 36.\nAnswer: (m - 4)*(m + 1)*(m + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 21*d + 5*d + 2*d + 429 = -0*d, 13*b + 158 = 3*d for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 4, 3, -45921 in increasing order.\nAnswer: -45921, -4, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*j + 60*j - 282 = 0. Calculate the remainder when 264 is divided by j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4*k**3 + 5 - k**2 + 2*k**2 + 0*k**2 + 7*k. Let q be h(-6). Suppose -q = m + 1637. What is m rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -814*f**4 - 315*f*k - 25*k + 27954 with respect to f.\nAnswer: -3256*f**3 - 315*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 57977.75 millilitres?\nAnswer: 57.97775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 347*v**4 + 16*v**3 + 34172*v**2?\nAnswer: 8328*v + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 54*p - 179. Let b be f(-4). What is the greatest common factor of 609 and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8000 and 86950.\nAnswer: 13912000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*r - 644 = -149*r + 1541 for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285 is divided by 37?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 + 0)\/((-4)\/(-25700)) - 2?\nAnswer: 3, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7890135?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1112 - 1?\nAnswer: -1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9 - (-55)\/5)*-60)\/(-1*1). What is the highest common divisor of 996 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13096701.\nAnswer: 3, 485063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -526, -546, -568, -592, -618, -646, -676?\nAnswer: -708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16\/3? (a) -0.1 (b) -646 (c) -299 (d) 8 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-300)\/(-720))\/((-50)\/(-15))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1350 or 120126\/89?\nAnswer: 1350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l = l - 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i - 17. Let r be d(-14). Let t = 319 + -320. Let q be (-81)\/(-9)*(t + (-7)\/r). Solve -5*x = 2*h, x = 2*h - 0*x - q for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u. Let s(i) be the first derivative of -2*i**2 + 2*i - 2. Suppose 2*d = 1 + 1. Determine d*s(x) + 6*q(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, 24, 77, 132?\nAnswer: 189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 9, n: 2}. Give prob of picking 2 n.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5*d - 79 = 0, 2*k - 7 - 37 = -2*d. Let h = 14 - k. Let l be (-23)\/h + 4\/(-14). Solve l*a = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20013154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 330400?\nAnswer: 330404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*a*b*s**3 - 5*a*b*s**2 + 33496*a*b wrt s.\nAnswer: -30*a*b*s**2 - 10*a*b*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 c, and 1 h when three letters picked without replacement from {k: 5, c: 4, g: 2, h: 7, z: 2}?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 w when two letters picked without replacement from wiwcspp?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*(d\/(d*d**4))\/d*d*d)\/(d*(d\/(d*d\/(d*d**(3\/2))*d))\/d))\/(d**(-1))**41)\/((d\/(d**(-3)*d*d*d*d*d))**(-2\/9))**(-1\/26) assuming d is positive.\nAnswer: d**(9011\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 357\/9 - 5\/3. Let h = 13 - 8. Suppose -2*r = 5*s - 0*s - n, h*r + 5 = 0. Calculate the smallest common multiple of s and 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**2\/3 + 693088*k\/3 - 693086\/3 = 0. Calculate k.\nAnswer: 1, 346543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -77. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 86*w = -90*w + 42, 2*n - 28 = -3*w for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 - -11. Let i = 14 + o. What is the common denominator of 82\/i*15\/(-50) and 23\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -734, 951, 2636?\nAnswer: 4321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {q: 15, y: 5}?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = 10*v - 59 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.601 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -5*f**2 + 1. Let d be r(1). Let k = d - -7. Let m = 60 - 54. Solve 3*t = -k*i + m, -4*t + 3 = -3*i - 5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -27*d - 78. Let f be ((-3)\/9)\/((-2)\/(-72)). Does 11 divide v(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -5. Let c = 9 - v. Let x be 2\/(-7) + c\/(-14). Do x and -1 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -4*r**3 - 386280*r**2 + 5794884*r - 20862360 = 0.\nAnswer: -96585, 6, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -71 - -194. Let w = 737\/6 - x. What is the closest to 2 in 1.2, 1\/4, w?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.016735 + 8.1\nAnswer: 8.116735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*n - 117*n = -4*t + 491, 5*n = t - 144. What is the greatest common divisor of t and 182?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r**3 - 4*r**2 - 2*r - 44. Let v(g) = 2*g**3 - 2*g**2 - 22. Determine 5*v(l) - 2*w(l).\nAnswer: 2*l**3 - 2*l**2 + 4*l - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of 93*t**5\/4 - 10*t**3 + 308*t. Find the second derivative of d(p) wrt p.\nAnswer: 2790*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - g**2 - 4*g + 3. Let y be p(2). Let t be 2\/6*(-6)\/4. Let d = -106 + 106. Put d, t, y in decreasing order.\nAnswer: d, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 10*m + 10. Let w(s) = -s**3 - 50*s**2 + 67*s + 825. Let c be w(-51). What is p(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(22)*4)\/((2*sqrt(132) + sqrt(132))\/sqrt(12)) - (sqrt(36)\/(1*sqrt(2)*-4))**2.\nAnswer: -9\/8 + 8*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21407 + -18083. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 2934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3242 (base 7) to base 13.\nAnswer: -6b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 9*a**2 - 8*a - 10. Is i(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 587350544*n**3 + 443472995?\nAnswer: 1762051632*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10552*-71.1.\nAnswer: 750247.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 f when three letters picked without replacement from qlfqvvffffqfnl.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + n + 59 = 0, 11*y + 3*n = 14*y - 12 + 51 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -4*k + 13. Let n(u) be the second derivative of u**4\/4 - 61*u - 3. Give n(i(y)).\nAnswer: 48*y**2 - 312*y + 507","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -414, -543, -672, -801, -930, -1059?\n\"Answer: -129*b - 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.22 times -0.1235?\nAnswer: -0.02717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -376.1 + 375.5. Which is the nearest to x? (a) 4 (b) -6\/11 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 28431 + -100?\nAnswer: 28331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -260.708 + -0.292. Let c = f + 261.00000294. What is c rounded to 7 dps?\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -5.9. Let c = -20129 - -20129.4. Let o = 5602\/35 + -160. Sort o, c, w.\nAnswer: w, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 0.04, -31 in decreasing order.\nAnswer: 2, 1, 0.04, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 660*k. Let h be q(1). Suppose -4*t = 2*y - 511 - 163, 2*y - 3*t = h. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2 + sqrt(252) + 1 + sqrt(252)*-2*4)**2.\nAnswer: -252*sqrt(7) + 12357","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8353033 rounded to 1 dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8518976 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*c = 3*g - 4, -3*c = 0. Find the third derivative of 0*k**3 + 16249*k**4 - 16238*k**4 + 5*k**3 - k**g + 44*k wrt k.\nAnswer: 264*k + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5)*s)\/s**(12\/5)*s**(-28)*(s*s**(-2\/11))\/s assuming s is positive.\nAnswer: s**(-1902\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-34) - (-2 + 128\/68).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h. Suppose 2*k + 0*k + 4 = 2*o, 4*k = 0. Let j(l) = -2*l + l + 6*l - o*l. Give d(j(n)).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*(-1 + sqrt(720)) + 1)**2 - (((sqrt(720) - (1 + sqrt(720)))*-5)**2 + 3)) + -3)*-3.\nAnswer: -53955 + 1440*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 12246185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - (-16 + 18 + 11).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/6089460 and -73\/1561400.\nAnswer: 60894600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 70 = -18. What are the prime factors of v?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(392)*1*-3)\/sqrt(8))\/(5*sqrt(7)*-2 - sqrt(28)*-1).\nAnswer: 3*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -369932\/93 or -3978?\nAnswer: -3978","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -434*c + 25*c + 13040 = 87*c - 11760 for c.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 42818518 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 greatest common factor of 50 and 650?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-154)\/33*10\/105 + 4606\/441\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 - 1)*(3*l + l + 0*l + (17 + 0 - 1)*(0 + 2*l + 0)) to d + t*l and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 10*f + 9. Let v be d(8). Let i be (-2)\/v - (-19)\/7. Solve i*a - 10 = 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 123 - 102 = 0. Suppose 4*d = -0*p + 3*p + 128, -d + v = -4*p. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4788 and 0.5.\nAnswer: 0.0212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1910887486?\nAnswer: 2, 955443743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2 - 9*g - 24. Calculate c(-4).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12123 and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6202416513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 72362543 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: Suppose 4*w - 2115 = -5*c + 129, 0 = 5*c - 5*w - 2235. Does 14 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -9*t**5\/20 + t**4\/2 - 14*t. Factor r(a).\nAnswer: -3*a**2*(3*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 - -8 - (7 + 0). Put 15, y, 4 in ascending order.\nAnswer: y, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 87299.09 centuries?\nAnswer: 8729.909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11301254*t**6 - 8*t**2 - 18786*t - 6 wrt t.\nAnswer: -1356150480*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 6*d**2 - 11*d - 80. Is p(-21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 30 = 6*y. Solve 5*m - y = 2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -25 (c) -1\/2 (d) 732\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1620004?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 331 - 3*c - 118*c**4 - 329 - 179*c**4 - 2*c**3 - c**2 + 339*c**4 to the form w*c**2 + v + b*c + l*c**3 + t*c**4 and give t.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -5*f + 6*h, -3*f + 0*f + 8 = 2*h for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10223 - -10?\nAnswer: 10233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, z: 6}. Give prob of picking 2 y and 2 z.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 1. Suppose l*y - 4 = 36. Let w = -49 - -49. Solve w = 4*n - 0 + y for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 700091 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63 + -58. Let k = 0 - -2. Let y be ((-8)\/(-5))\/(k\/5). Which is the closest to 0? (a) -3 (b) j (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 9. Let r(b) = -8 + 10 - j + 8*b - 4. Let z(i) = -7*i + 5. Determine 4*r(a) + 5*z(a).\nAnswer: -3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 132*j**2 - 269*j + 169. Let p be d(134). Solve 65*s + p = 30*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + b4?\nAnswer: b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -10798976 plus -0.7?\nAnswer: -10798976.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 93 + -117. Let k be o\/18*3 - 1684016\/(-4). What is k rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -27*m**2 - 1258*m**3 - 9*m**2 + 68*m**2 + 341 - 32*m**2 wrt m?\nAnswer: -3774*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5\/6)*u*u**0*u)**(-10) assuming u is positive.\nAnswer: u**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + (-1 + sqrt(4500) + -1)**2).\nAnswer: -600*sqrt(5) + 22515","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k\/(k*k**9)))\/(k*k\/k**5) assuming k is positive.\nAnswer: k**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 167*g + 47099. Calculate k(-282).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-5)*(-15)\/6. Let v - 20*v**2 + 25*v**3 + v + f*v = 0. What is v?\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 392*t - 1916. Determine w(5).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(171)*-5 + sqrt(171))\/(1*sqrt(144) + sqrt(144) + sqrt(144)) + -2.\nAnswer: -2 + 11*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 10*b + 629. Is r(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1490869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -413?\nAnswer: 206.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3968 and 2480?\nAnswer: 19840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -590*w**4 - 449*w + 44*w**3 - 40*w**2 - 11*w + 1400*w**2 - w**5 - 24*w**5 - 329*w**3 = 0. Calculate w.\nAnswer: -23, -2, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 81629005.47 to the nearest one hundred thousand.\nAnswer: 81600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6289143.\nAnswer: 3, 7, 23, 29, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -273\/2 + 140. Let j(z) be the second derivative of -4\/3*z**3 + 0 + 1\/20*z**5 - 5\/12*z**4 + y*z**2 - 2*z. What is j(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 16940889875 from 0.\nAnswer: -16940889875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -165*d + 55*d + 60*d + 52*d - 7 + 8. Suppose 4*c - 14 = 10. Calculate i(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3*q + 12 = 0. Let h be (-2 + -2 + 3)\/((-22)\/q). Which is the closest to 0.03? (a) -2\/9 (b) 5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddddkk. Give prob of sequence dddd.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -16*j**3 + 6*j**2 - j - 4. Let u(m) = 17*m**3 - 7*m**2 + 4. Let i(x) = 6*f(x) + 5*u(x). Let t be i(-4). Round t to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 10. Suppose 0 = -3*i + 2*i + n. Suppose 8 = i*g - 47. Is g a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - -6. Suppose -2*y + 0 + x = 0. Suppose y*j = -6 + 66. Does 9 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**3 - 42*m**2 + 47*m - 2. Calculate the remainder when 315 is divided by d(20).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -36*n**2. Let y(a) = 3*a + a - 6*a + a + 0*a. What is y(q(l))?\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -5*g + 6*g - 2*g. Let o(d) = -14*d**2 - 8*d + 4. Let f(i) = -14*i**2 - 6*i + 3. Let w(c) = 4*f(c) - 3*o(c). Calculate w(m(q)).\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-12)*x*x*x)\/x*x*x*x*x*x\/(x**(-2\/17)\/x)*x*(x*(x\/(x*x\/((x\/(x**(3\/23)\/x))\/x)))\/x*x)\/(x*x*x**46*x) assuming x is positive.\nAnswer: x**(-19555\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) + sqrt(272) + sqrt(272) + -1 + 2 - (-5 + sqrt(272) + sqrt(272) + 1))*1)**2 + -2 + -1.\nAnswer: 40*sqrt(17) + 294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -43920620 rounded to the nearest 100000?\nAnswer: -43900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 5*v**2 + 107*v + 10. What is s(7)?\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 176056263*p**3 + p**2 - 144125639 wrt p.\nAnswer: 528168789*p**2 + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((-738)\/378 - -1)\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -873 divided by -97?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 676 by -169.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1264.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - (-9 - (-230)\/30). Let p(b) be the first derivative of 3 + h*b**3 - 7\/2*b**2 + 0*b. Find the second derivative of p(g) wrt g.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 3 - (19 + -20).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o + 1. Let c be i(-3). Suppose k + 4 = -3*k. Let h = 1 - k. Solve -h*f = -4*f + c for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -138*h + 94 - 143*h + 276*h to the form c + r*h and give c.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z + 0*z - 5*z - z + z - 2*z + (-z + 0*z + 2*z)*(-2 - 1 + 2) + (-1005*z - 506*z + 62*z)*(4 - 1 + 4) to k + t*z and give t.\nAnswer: -10147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13223 + -3?\nAnswer: -13226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -2 + (-1 - -2) + 1650 + -1674?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 3:18 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 512?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7945?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - p = 40. Suppose p = 3*l - 1. Let r be -3 + (84\/l - 3). Solve 3*z - r = -5*v, 0 = -0*v + 3*v - 3*z - 18 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -0.13?\nAnswer: 0.065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -4*a**2 + 20*a - 8. Let h be g(6). Let k = -28 - h. What is the smallest common multiple of k and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + j - 1. Let i(x) = -16*x**2 - 18*x + 18. Let m(h) = -2*i(h) - 36*p(h). Let q(n) be the second derivative of -n**4\/12 - 56*n. Give m(q(f)).\nAnswer: -4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, 2, -4, -2\/7, -144 in increasing order.\nAnswer: -144, -4, -2\/7, 4\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2052 - -5?\nAnswer: 2057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193 = -5*m - t, m = 5*m - t + 158. Let f be (m\/6 + 1)*(-9 - -1). Let x = 170 - f. List the prime factors of x.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/6)*(i\/i**0)\/i*(i\/i**(1\/4))**(6\/17) assuming i is positive.\nAnswer: i**(5\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (60\/(-70))\/((-2)\/(-14)). What is the units digit of (-6)\/5*140\/t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 4:53 AM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 199?\nAnswer: 2\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 22*p + 4504. What are the prime factors of k(0)?\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(6*(sqrt(143)*-1 - sqrt(143)) - 3*sqrt(143)*4)\/((sqrt(110)*2*-4)\/(sqrt(10) + (sqrt(120)*-1)\/sqrt(12) + sqrt(10))).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65684, -131312, -196940, -262568, -328196?\nAnswer: -393824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9104476, -18208949, -27313422, -36417895, -45522368, -54626841?\n\"Answer: -9104473*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 2 = 4*n. Solve w + 30 = 5*k + 6, 2*w = n*k - 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*r = -h - 92, 0 = h + 2*r + 40. Let l be (-16)\/(-21)*(-33)\/h. Let d = 0.3 + -0.1. Which is the closest to 2? (a) d (b) -2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*b - 8*b**2 + 10*b - 19*b.\nAnswer: -8*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2940 + 147*m - 2940)*(m + 1 - 1 + (-2 - 2 + 3)*(-5 + 4*m + 5)) to d*m**2 + y*m + t and give d.\nAnswer: -441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -23*n**3 - 18*n**2 - 79*n + 10. Calculate u(-5).\nAnswer: 2830","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 181 and 18643?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -70 + 45. What is the remainder when 3380\/z + 5 - 3\/15 is divided by 48?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f**3 - 99 + 4*f**3 + 99 + 383*f - 383*f.\nAnswer: 11*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/20996 and -23\/58825.\nAnswer: 6823700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*j + 261*j = 133*j - 351988. What is the ten thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q*q*q**(-8)*q)*q*q**(-3\/4))**(-32) assuming q is positive.\nAnswer: q**(-232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -8 - (3 + -10 + -8)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1348773, -1348997, -1349371, -1349895, -1350569, -1351393?\n\"Answer: -75*g**2 + g - 1348699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.05 or -945.638?\nAnswer: -945.638","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 2*p + 10*p**2 + 7*p**2 - 26*p**2 + 21*p**2 to h*p + b*p**2 + x and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 31957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3820 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*r**2 - 3147*r + 1404.\nAnswer: -3*(r + 117)*(9*r - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 840377663?\nAnswer: 61, 13776683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -12*p + 466. Determine g(38).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*j - 192. Let h = 99 + -1. Let v = h - j. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 9*n + 6. Give x(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from flffflffff. What is prob of sequence lfl?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 9 = -k, -k - 9 = -0*k - 2*r for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-48)\/(-30)*10\/4. Suppose 2*t + 46 = a*t. What is the remainder when t is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 5*l - 6, 14 = 4*c - 216*l + 219*l for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3430748?\nAnswer: 2, 857687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.95048 to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 38 - 6. Let q(b) = -b**3 - b - 5. Let i be q(0). Let y be z\/(-15) + (-1)\/i. Is y < 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33131002 - 2?\nAnswer: 33131000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 6*u - 3. Let n be (-3 + 3 + 0)\/2. Let w(b) = 5*b**2 + 1. Let v be w(1). Suppose n = c - 3*c - v. Calculate f(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 6*c + 9. Let l be r(7). Let h(q) = 3*q**2 - 2*q + 1. Let f(y) = 25*y**2 - 17*y + 9. Let n(i) = l*h(i) - 6*f(i). Factor n(m).\nAnswer: 3*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 3\/2 (b) -91 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((-6 - -6) + 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1027 + 522 + 24)*(-4*g**2 + 5*g**2 + g**2).\nAnswer: -962*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, n: 1, y: 1, w: 1, z: 1}. What is prob of sequence za?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61602 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -1665?\nAnswer: 1661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1133*n + 1 = -1128*n + 2*p, 2*n = -3*p + 18 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 + 35 - 17) + -7 + 2.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 842 - 855. Let t = 0 - -2. Let f(u) = -u**2 + 5*u - 3. Let w be f(3). Put t, g, w in descending order.\nAnswer: w, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -z**3\/3 + 3*z**2\/2 + 16*z - 616. Give k(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 63*c + 11481572 = -62*c, c + 8611179 = 3*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and -1424?\nAnswer: 1423.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 6 = -l - d, 4*l = -d + 17. Suppose 2*z - l*b = 190, 2*z + 6*b - b - 190 = 0. Does 19 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1019 + 1828. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 11:39 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1682187911\/273432 - 17\/68358. Let w = d - 6162. Find the common denominator of w and 81\/165*30\/(-4).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -128*v + 650. Let j be k(5). Sort 11, 4, j, 0 in increasing order.\nAnswer: 0, 4, j, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -74 - -76. Suppose 0 = 2*d - d - p*x - 18, 4*d = 3*x + 77. Suppose 5*f = 4*f + d. Solve i = 5*i - f for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 89 - 40. Let y = t + -45. Find m such that -162*m**y + 17*m**3 + 288*m - 89*m**3 + 4 + 640*m**2 + 28 = 0.\nAnswer: -2, -2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttky when four letters picked without replacement from qqssktqqsqvtksys.\nAnswer: 1\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + -6. Let p(n) = n + 4*n + 8*n - o*n. Let m(l) = -l - 4*l + 6*l. Determine p(m(x)).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + 274333720.716.\nAnswer: 274333721.016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1514 a factor of 7712250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006028 rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -19ac - -4?\nAnswer: -19a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000011 (base 2) in base 12?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 8:04 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -160376 + 3?\nAnswer: -160373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 9*i = 80. Which is the closest to 0.1? (a) 2\/19 (b) 0.12 (c) i (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4417529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -191 - -195. Let i(c) = -7*c - 2. Let y(r) = -r - 3. Let l(d) = -d - 7. Let q(o) = 4*l(o) - 10*y(o). Calculate h*i(k) + 5*q(k).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(128)*3 + sqrt(128) + 1)*6 + (-2 + 5*(-3*sqrt(128) - sqrt(128)))*6)**2.\nAnswer: 124416*sqrt(2) + 5973264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (114\/5)\/1*36\/1224*-85.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -26) + (-184 - -210) - 4.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x - x + 3*x)*(1 - 4 + 2) + 3*x + 3*x - 2*x + 2*x - x + 0*x + 11*x + 9*x + 196 - 199.\nAnswer: 26*x - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -714, -715, -716, -717?\nAnswer: -718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 11010000000000110011010110?\nAnswer: 11010000000000110011010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4*u + 23 = u, 2*q = u + 1. Suppose 0 = 2*m - m - q. Solve -2*r = m*r - 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15816700 take away 6.65?\nAnswer: -15816706.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28*(-27)\/18*-37.\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5246 + -5241. Suppose 0 = 3*v - 6 - 0. Suppose -c*o + 25 = a, -a + 3*a = 2*o + v. Calculate the remainder when 5 is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 9, -2*r - 32 + 2 = -4*p. Let s be (3\/p)\/(3\/45). Suppose -162 = -s*y - 47. What is the highest common factor of 138 and y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*w = -2*u + 22, -w - 94 = 3*u. Find the common denominator of -107\/14 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 1083*f**5\/4 + 627*f**4 - 70881*f**3\/4 - 94203*f**2\/2 + 287712*f + 887112 = 0.\nAnswer: -6, -4, 111\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + 2*o - 476. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1562, 6240, 14028, 24920, 38910, 55992, 76160?\n\"Answer: -m**3 + 1561*m**2 + 2*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, h: 12, r: 1}. What is prob of picking 2 h?\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -76052 at most as big as -76055?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 101, -5 in ascending order.\nAnswer: -5, 0, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -5. Let h be -3 + (96\/15 - o). What is the nearest to h in 2, -4\/5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -338*l + 174*l + 173*l = 9 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/4 of a litre in millilitres?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4663499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 536? (a) 3 (b) -6 (c) 0.01 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 451570517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1043999 divided by 887?\nAnswer: -1177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/117 and 7 - (9682\/1820 - 300\/(-350))?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 186.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 - 360*n - 6525.\nAnswer: 5*(n - 87)*(n + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-22)\/(-4) + 4\/(-8). Suppose o*k = -k + 96. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*r + 28 - 3. Solve r + 9 = 5*k + 5*b, -k - 3*b + 2 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 2 - 14. Let j(m) = -m**2 + 7*m - 8. Let v be j(6). Calculate the remainder when (-7)\/(-3 - (v + 0)) is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 9 = -3*z, 0 = -4*w + 2*z - 12 - 10. Let b = -5 - w. Suppose -5*f + 267 = 4*l - l, -2*l + 161 = b*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 363834.\nAnswer: 2, 3, 17, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18309 > 18292?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -z - 16. Let m(j) = j**3 - 5*j**2 + 5*j - 2. Let f be m(z). Solve l - f = -0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w - 6. Let d be i(-6). Let x = d - -20. Solve 3*l = -l - x for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + -3 + (-18)\/(-2). Let g(z) = z**2 - 9*z + 18. Let c be g(w). List the prime factors of 1\/(4\/12) + c.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1794*g - 1794*g + 20*g**2 - 104*g**4 wrt g.\nAnswer: -2496*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64 and 28760?\nAnswer: 230080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -e9eee?\nAnswer: ea003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*p - 16 = 0, -3 - 9 = -4*g - p. Solve 4*t - 2 = -5*s, t + g*s - 1 = -6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 x when three letters picked without replacement from xffwiniiwffxxfxixnin?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -g*p*r + 117*g*r - 8*g - 64*p*r - 34*p wrt g?\nAnswer: -p*r + 117*r - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*m + 41*m - 15 + 8 = 0. Solve 4*n - 2*o = 0, -6*n = -m*n + 5*o + 9 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -130463, -260938, -391413, -521888, -652363, -782838?\n\"Answer: -130475*p + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84\/(-147))\/(3\/(441\/35))?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -194, -10, -3 in ascending order.\nAnswer: -194, -10, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*i = 32, -5*w + i + 193 = -3*i. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4812201?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*c + 40*c + 12 = 0. Solve 0 = -2*x - c + 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 539*g**2*n**2 + 419*g**2 + 448111*n**2 with respect to g.\nAnswer: 1078*g*n**2 + 838*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-11 - -6)) + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7447*l**3\/4 - 119151*l**2\/4 - 119148*l + 16.\nAnswer: -(l + 8)**2*(7447*l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-21)\/(-6) + -1)*4296\/20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 189889?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1, 13, 47, 115, 229?\n\"Answer: 2*y**3 - y**2 + y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z + 1. Let w be q(1). Let y be (50\/350)\/((-3)\/6). Let v = 17 + -12. Put w, y, v in ascending order.\nAnswer: w, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r + 25*j - 30*j - 30, 26 = -4*r - 3*j for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -207*y**3 - 207*y**3 + 411*y**3 + 7 - 7.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1848*s + 7954 wrt s.\nAnswer: -1848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24476.\nAnswer: 2, 29, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**2 - 2*o + 2*o)*(2 - 4 + 3)*(-6 + 0 + 0).\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 179071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4 + (sqrt(30)\/(sqrt(6) + (sqrt(6) + 1*sqrt(6) - sqrt(6))) - sqrt(5) - sqrt(5)) + (5*sqrt(960))\/(sqrt(72)\/(sqrt(18)\/sqrt(3))).\nAnswer: -2 + 37*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -3*y - 518, 0 = -4*x - 1 - 15. Let r = 179 + y. Calculate the greatest common divisor of 62 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p + 1. Let q be n(-3). Does 15 divide q\/13 - 3136\/(-104)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 286, -0.4, 1, 17 in decreasing order.\nAnswer: 286, 17, 1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j = 16*j + 93. Let h be j\/(-54) + 3\/(-2). Let x = 8.6 - 8.7. Which is bigger: x or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -14, -20893, -6, 2 in increasing order.\nAnswer: -20893, -14, -6, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -381, -442, -511, -582, -649, -706, -747, -766?\n\"Answer: r**3 - 10*r**2 - 38*r - 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.89881 decades in millennia?\nAnswer: 0.9589881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/((v**0\/v)\/v))\/v)**(-12))**(-7)\/(((v**2*v)\/(v*v**4*v))\/(v\/(v\/(v\/(v\/(v\/(v\/(v\/v**(-1\/4))))*v)))*v*v**(4\/9))) assuming v is positive.\nAnswer: v**(9241\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 693*i - 1.\nAnswer: -693*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 9:11 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 6\/1585 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5374*c**3*d + c**3 + 208*c wrt d.\nAnswer: -5374*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 4*z - 84. Let s be p(-8). Let t be 3\/s*4 - (1 - 0). Put -2, t, 3.7 in descending order.\nAnswer: 3.7, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-7 - (52 + -33)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 402.\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -239 - 526 = -5*x. Let o = 154 - x. Solve -o = -2*s - 7 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 206, 1693, 5726, 13577, 26518, 45821, 72758, 108601?\n\"Answer: 212*l**3 + l**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6522*-0.5.\nAnswer: 3261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3492 = -41*x + 35*x. What is the lowest common multiple of x and 10?\nAnswer: 2910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 0, -3, 8, -9 in ascending order.\nAnswer: -24, -9, -3, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1101644.\nAnswer: 2, 193, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fzzcuuferzcc. Give prob of picking 1 f and 1 r.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2136 and 25644.\nAnswer: 4564632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5221305 (base 10) to base 4.\nAnswer: 103322232321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3629 a multiple of 191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/3)\/((-16)\/(-154704)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pbdgddbd. What is prob of picking 1 b and 1 d?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -15235, -15238, -15241, -15244, -15247, -15250?\n\"Answer: -3*y - 15232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 103, 304, 671, 1252, 2095, 3248?\nAnswer: 4759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-2 + sqrt(1053))**2 - sqrt(1053))*2 + sqrt(1053).\nAnswer: -81*sqrt(13) + 2109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0107641 to 4 dps.\nAnswer: -0.0108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -46, -42, -34, -22?\n\"Answer: 2*a**2 - 2*a - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 1 + 2)*(2*r + 0*r - 5*r) to a + d*r and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wtwwvwuntztzw. Give prob of picking 2 t.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 18 * 23\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s - 2 = 33 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/123 - (-3864)\/1886. Solve -m - 3 = q for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y**2 - 1. Let r be k(-1). Suppose 3 = v + 2*j + 1, 0 = 5*v + 4*j + 14. Let s = r - v. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -300\/13 - -4839\/208. Let a = 270899629\/6 - 47497726789\/1052. Let p = a - 90\/263. What is the common denominator of p and r?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3 - 28240*h**2 - 2631440*h - 51430400.\nAnswer: 5*(h - 5740)*(h + 28)*(h + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 57. What are the prime factors of l?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1534\/5 - -24481\/80. What is the common denominator of 25\/12 and b?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*z - 19*z = 10714. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.0764 times -0.2?\nAnswer: 1.61528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/3 - 24339\/(-63). Suppose 6*j - r = 1677. Is j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 b when three letters picked without replacement from {b: 4, u: 4, k: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-1) - (-11 - 1). Suppose 3*s - 2 = -x. What is the units digit of 3\/(-9) - 10\/s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -935777*b**2*p + 223*b**2 - 6*b*p + 1358*b + 4*p - 12 with respect to p.\nAnswer: -935777*b**2 - 6*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -3. Let n = 36 + a. Let h = 33 + -9. What is the highest common divisor of n and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by (-28)\/(-1) - -1*(-2 - -4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 12\/25 of a century?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 c when three letters picked without replacement from vocvvcvviiiv.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**2 + 63*r - 183. Let u = 213 + -149. What is the remainder when u is divided by g(-24)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g**3 + g**2 - 1. Let v be y(-1). Suppose v*j = -4*s + 108, -3*s + 60 = -j - 13. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -122266490, -122266496, -122266500, -122266502?\n\"Answer: x**2 - 9*x - 122266482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tdth when four letters picked without replacement from drrbgdtbhrttttr?\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -96 - -46. Suppose -52 - 98 = 5*x. Let v = x - j. Solve 4*n + n + v = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 60 + -58. Let j be (-50)\/((-4)\/1 - (13 + -19)). Put j, 1, k in increasing order.\nAnswer: j, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - ((-12)\/4 - -6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*6*2*sqrt(162) + 5 + ((sqrt(162) - (sqrt(162) + 1 - sqrt(162))) + 1 - 4*(sqrt(162) - (sqrt(162) + -1 + sqrt(162))))**2.\nAnswer: -144*sqrt(2) + 4071","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -57a8a6 (base 12) to base 4.\nAnswer: -11113231332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15)\/4*8624\/(-84). Solve -p = 43*u - 41 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9912 + -9917. Which is the closest to q? (a) 5 (b) 1 (c) -3\/4 (d) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -221 not equal to -221?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-180)*18*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 18*m - 50. Let w(n) = 30*n**2 - 8*n + 16. List the prime factors of w(m).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-145)\/290)\/((-2)\/(-100)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -10*l**5\/21 + 118*l**4\/7 - 1280*l**3\/7 + 17552*l**2\/21 - 11552*l\/7 + 8160\/7 = 0.\nAnswer: 2, 5, 6, 102\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*u = -74*u + 4*v - 13, 0 = -3*u + v - 17 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 6*c**2 + 4*c + 5. Let n be s(-5). Let t(w) = -11*w + 8. Let p be t(7). Let i = -19 - p. Calculate the greatest common divisor of i and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 7 - 12 + 2*z)*(17863*z - 17863*z - 1 - 17*z**2) as o + w*z**3 + n*z**2 + m*z and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.53 and 0.2.\nAnswer: -0.506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6*((-4)\/90)\/(-2)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6514*l + 367900 = -6933*l + 4467*l - 341520 for l.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 0.16. Let w = 0.74 - 0.9. Let y = w + g. Which is the second biggest value? (a) y (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3901531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 1 + 0*j**3 - 8*j**3 + 0*j**3 to the form r + m*j**2 + o*j**3 + x*j and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4*sqrt(28)\/sqrt(4) + 0)**2.\nAnswer: -24*sqrt(7) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.02305 (b) -0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/20)\/(n*n**(-14)))\/((n*n\/(n*n*n\/(n*n**14)))\/(n**(-14)*n)) assuming n is positive.\nAnswer: n**(-281\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*v + 6114 = 3*f, 0 = -5*v - 5. Let s be 4\/(-6) - (f\/(-9))\/(-7). Is s greater than or equal to -63\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j + 11. Let u be i(-7). Suppose 3*l + u = -2*l. Let a be (-2202)\/l - 8\/20. Round a to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 5*g + 245, 4*t + 5*g - 18 - 262 = 0. Let b = 62 + t. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 68\/(-20) + 3\/1. Suppose -7 = -p - 6*p. Which is the second smallest value? (a) p (b) -1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1*((sqrt(325)*-1*-5)**2 + (1 + sqrt(325))*6) + 2.\nAnswer: -8125 - 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1605815, -1605812, -1605807, -1605800?\nAnswer: -1605791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 3 - 49)\/(-1) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1*sqrt(1053)*6 + 2))**2*-2.\nAnswer: -1213184 - 6912*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**6 - 395*i**3*y**3 + 13*i**3*y + 2*i**2*y + i*y**3 - 5*y**3 + 74 wrt i.\nAnswer: -240*i**3 - 2370*y**3 + 78*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35628214901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84854.\nAnswer: 2, 7, 11, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -4*h**5 + 4*h**4 + 24*h**3 = 0.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(-4 - -3) - 1. Let l be (0\/m)\/(-1 - 1). Suppose 4*x - 5*a + a = l, -x + 3*a = 0. Which is smaller: 3\/5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 13 = -2*v - 6*r, 4*v + r = -1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.26*-0.957.\nAnswer: 0.24882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - w = 0. Suppose 5*y + 1 + 4 = w. Let j = y - -5. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 + -23. Let c be (-3)\/12 - 151\/r. Let o = 78 + c. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/((-40)\/28) + (-6747)\/(-936). Let n(l) be the third derivative of 0 - 3*l + l**3 + x*l**4 - 6*l**2. What is n(-5)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006531794738 rounded to 7 decimal places?\nAnswer: -0.0006532","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 3:54 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 6*y**2 - 4*y + 5. Let f be l(5). Let c(j) = j**2 - 10*j + 3. Let n be c(f). Calculate the highest common divisor of n and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 + 15*q - 15. Let a = 27 + -13. Let p be g(a). Suppose 47 = 3*k + 23. Which is smaller: k or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 + 3)\/(10\/16). Let r = -37\/10 - j. What is the closest to -1 in -1, 2, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 1. Let j be t(-1). Suppose -3*k + g + 87 = 0, k - 4*g = 15 + 25. Suppose j = d + d - k. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/4*((-25788)\/614 + 23 + -1)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/u**11)\/((u\/u**(3\/25))\/u))\/((u*(u**12*u)\/u)\/u)**30 assuming u is positive.\nAnswer: u**(-9222\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 48\/64 + 993\/(-12). Let i = n - -83. Suppose 3*v - 2 - 1 = 0. Calculate the least common multiple of i and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, -5\/88, -0.6, 0.1, -4, -7 in increasing order.\nAnswer: -7, -4, -5\/2, -0.6, -5\/88, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mrymyyryryryyqmr. Give prob of picking 3 m and 1 q.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -306*w**3 - 43*w + 74945 wrt w.\nAnswer: -918*w**2 - 43","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/7 + 37976*y\/7.\nAnswer: 2*y*(y + 18988)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -374a5 + -1?\nAnswer: -374a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n = 16 + 4. Which is the third biggest value? (a) n (b) 1\/5 (c) 0.1 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/(-6)*(-54)\/(-8). Let b = u + -12. Let r(m) = -m**3 + 7*m**2 - 4*m - 4. List the prime factors of r(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 718 - 735. Let c be 28\/(-4)*52\/20. Which is smaller: h or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8\/7, -41, 13, 5, 4815?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 238094864.810214 + -218172229.81021456. Let r = m - 19922637. Let p = r - -2. What is p rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 43989 and 25327?\nAnswer: 835791","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/2 and -56\/8255.\nAnswer: 16510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -112774 and -11.5.\nAnswer: -112785.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -j**5\/60 - 5*j**4\/12 - 7*j**3\/6 + 10*j**2. Let d be z(-7). Suppose 0 = -2*i + 10 + d. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 2*b = 3, q - 2*b + 3*b = 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120124 is divided by 426.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1748254 is divided by 84.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 6*u - 2. Suppose -2*d + 8 + 4 = 0. Is s(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6456 by -1614.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*a = 484*a + 103*a + 7155 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**2 - 9*i - 2. Let v be j(-4). Which is the closest to -2\/3? (a) 1\/6 (b) v (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43594?\nAnswer: 2, 71, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -2553.869 to the nearest one hundred.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a second in milliseconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nwwwwnw. Give prob of sequence nw.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -857513, -857510, -857507, -857504, -857501?\nAnswer: -857498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*q - 1639 + 220. Solve 39 = l + q for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2339, -9372, -21085, -37472, -58527, -84244, -114617?\nAnswer: -149640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 + 50. Suppose 0 = -5*u + x + 2896 - 162, 3*u - 5*x - 1658 = 0. Let a = -543 + u. Solve -a*j - j = -s for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 16 = 24. Suppose 5 = -o + 2. Let v = b + o. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 949 = -61*f + 134*f. Calculate the remainder when 254 is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 11:07 AM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40341 = -1538*n + 1559*n. Is n > 1920?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of y**4\/4 + 5*y**3\/3 + 3*y**2 - 9*y - 294. List the prime factors of n(4).\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.08 (b) 0.4 (c) 0.1 (d) -0.1 (e) -3 (f) 287\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/((-6)\/(-8)))\/(-2). Suppose 12 = 4*u, u - z*u - 47 = -5*q. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -34082, -32349, -29462, -25421, -20226, -13877?\n\"Answer: 577*c**2 + 2*c - 34661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -8 in increasing order.\nAnswer: -8, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 19 - (-4 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + (-124)\/(-10) - 13. Which is smaller: 463 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -324*o + 7073. Does 9 divide t(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 195300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 34*p**2 - 45*p - 56. List the prime factors of z(-33).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -2 + -2 + 2 - (23 - (-151 + 255))?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 22 = -3*v + v, v = 4*a + 11. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 5*r**2 + r**2 + 0.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1366296 + -1366530.9891. Let t = v + 235. What is t rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, 1\/2, 0.2, -16\/19?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/19)*z\/(z\/(z\/z**(-2\/21))) assuming z is positive.\nAnswer: z**(479\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 947*t = 955*t + 128. Let k = 76 + -30. Let u = t + k. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 18 - -18) + -10.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6086429\/237 + -25681. Find the common denominator of 1\/81 and h.\nAnswer: 6399","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3192013 or -3192020?\nAnswer: -3192013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 8*o**2 - 21*o + 2 - 23*o**2 - 9*o**2 to l + k*o + g*o**2 and give g.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j + 18. What are the prime factors of r(12)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3942*x - 7919. Give u(-2).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9)\/(-27))\/(-9 + 8). Which is the third smallest value? (a) -0.5 (b) -0.3 (c) -0.1 (d) y (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 681 + -686. Let n = -1501\/130 - -117\/10. Put 6, n, c in descending order.\nAnswer: 6, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, -0.1, 2, 0.8135, -4 in decreasing order.\nAnswer: 41, 2, 0.8135, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b**2 + b - 1. Let w(m) = 8*m**2 - 5*m + 5. Let j(t) = -9*t**2 + 6*t - 6. Let i(a) = 6*j(a) + 7*w(a). Determine 5*i(g) - 3*l(g).\nAnswer: g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2744536, 5489072, 8233608, 10978144, 13722680, 16467216?\n\"Answer: 2744536*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from moozoriioioobzoommo. What is prob of picking 1 i and 1 z?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 5*d**2 + 45*d - 1. Let g be x(-9). Let p = -45781\/8 - -5746. Let z = -23 + p. Which is smaller: g or z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7011269.\nAnswer: 439, 15971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w - 13*w - 4*w + (-130*w + 14 - 14)*(0 + 4 + 4) in the form y + d*w and give d.\nAnswer: -1055","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 29b9 (base 13) in base 5?\nAnswer: 143232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011001110010100010 - 11?\nAnswer: -110011001110010100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -5\/6*x**3 + 5*x + 15 + 2*x**2. Suppose -2*w = 2*k + 2*w + 8, -8 = 2*k + w. Determine c(k).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1220\/(-2196) - 3*(-107)\/(-297)?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 4*m - 21, -4*y - 24 = -m - 3*m for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 - 40 + 34)*(-2*p + 3*p - 2*p).\nAnswer: 33*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 103*f**2 - 2055*f - 87. Give j(-27).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5155 + -5155. Let d(w) be the first derivative of 21 - 28\/3*w**3 + z*w**2 - w. Differentiate d(f) with respect to f.\nAnswer: -56*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34650 divided by 1386\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20948 - -20993. What is the greatest common factor of 48915 and l?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32903 is divided by 471?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(12) + sqrt(108)\/sqrt(9))\/sqrt(6).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 131658015187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -22?\nAnswer: -5\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/(-55) - (-9)\/11. Is 11 a factor of 1 + r - (-5 - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 8*t - 3. Is i(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64300 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0142049123981 and -0.4.\nAnswer: -0.3857950876019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46 - -62 - (7 - 0).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = 3*g + 54. Let j = 66 + g. Calculate the remainder when j is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*(-42)\/(-18)*(-3)\/2. What is the units digit of (-1995)\/(-2) + (-7)\/k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6161 divided by 512?\nAnswer: -6161\/512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -35*q + 284. Let b be t(8). Suppose -4*p + 3*o + 29 = 0, -6*o + o = -b*p + 35. Solve -6 = -n - 3*x - 4, -5*x + p = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -33716*a**2. Let h(w) = -2*w. What is h(l(b))?\nAnswer: 67432*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 28*u + 1. Is 17 a factor of m(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -819, -3093, -6583, -11043, -16227, -21889?\n\"Answer: 41*d**3 - 854*d**2 + d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 18518954 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -506.045497 to 0 decimal places.\nAnswer: -506","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 2, 0.05959, 26, -0.1?\nAnswer: 0.05959","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 5*y**3 + y**2 + 3*y - 3. Let k be n(2). Suppose -c + k = 5*x - 14, 3*c - 40 = -4*x. Solve -5*r + 37 = -3*z, -4*r + x = -z - 11 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/(-15))\/((-10)\/(-15))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -319 - -324. Suppose -4*j - 9 = -f, 3*u + 4*j = -16. Let h(b) = 8*b + 4. What is h(u)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 - -65\/2. Which is the nearest to i? (a) -2\/5 (b) 5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f + f + f - 2 + f - 45*f**2 + 352*f**2 in the form c*f + t + l*f**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26705 - 4.\nAnswer: 26701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -7*p**3\/6 - 49*p**2 + 68*p. Let w be y(-14). Solve 5*k - 7*k + 4 = w for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*j + 20 = 0. Suppose j*x = -4*y + 274 - 58, 0 = -x + 1. List the prime factors of y.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -831210 - -1515607. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -67500 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**2 - j**2 - 3*j**3 + (-4 + 2*j + 4)*(2 - 2 - 2*j**2) + 4*j - 16*j**3 - 4*j.\nAnswer: -23*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f**3 - 5*f**2 - 2*f - 1. Let j(z) = -4*z**3 - 6*z**2 - 3*z - 1. Suppose 0 = -133*x - 29*x - 8*x - 850. Give x*j(p) + 6*h(p).\nAnswer: 2*p**3 + 3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 168 = -7*v, -4*v + 4*v = 5*w + 4*v - 364 + 293 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-22)\/(-7) - 2\/14. Suppose 5*i = 2*b + 6, 0*b + q*i = -3*b - 30. Which is smaller: b or -6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -u**7\/14 + u**3\/3 - 7*u**2 - 3*u - 2. Find the second derivative of l(a) wrt a.\nAnswer: -60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5\/251 - -77\/21335. Let c = 326\/595 + h. Let o be (-5)\/20*1*0. Is o greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ekakeekkineekkni. Give prob of sequence kkk.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 226 = 5*t, 5*t - 4*y - 230 = y. Let k = t - 7. Solve 5*j - k = -5*h, 5*h = -j + 2*j + 11 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 3*y - 27, 4*n - 3*y - 9 = 2*y. Suppose n*j - 88 = 2*j. What is the remainder when 77 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - (-165)\/21) + (-8)\/(-56). Suppose -m*j = -6*j - 88. Calculate the remainder when ((4 - 8) + -2)\/(6\/(-128)) is divided by j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.13 + -0.23. Let j = 5 + d. Let m = j + 0.1. Put -2, -4, m in ascending order.\nAnswer: -4, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 133 + 3 - 2*2. Suppose -15*y = -9*y - i. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2 + f - 1. Let y be p(-2). Let a(s) = 2*s - 10. Let g be a(y). Suppose 3*z - z = -2*r + 82, 3*z - 15 = g. Is 4 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 559, 2700, 8503, 19798, 38415, 66184, 104935?\nAnswer: 156498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1775 + 2630. Let z = h - 525. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/(2\/1))\/2. Suppose -3*v = -2*r + 14 - 0, 4*v = -3*r + 4. Solve b = -r*c + 4*p + 16, 0 = 3*c + 4*p - 20 + 43 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c + 6026. Let n(l) = l + 5976. What is -6*g(w) + 7*n(w)?\nAnswer: w + 5676","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 3*d**3\/4 + 25442337*d**2\/4 + 53942722056297*d\/4 + 53942696613963\/4 = 0.\nAnswer: -4240389, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*f**2 - 28*f**2 + 3*f**2 + 75*f**2.\nAnswer: 25*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m - 11. Let s(n) = -n + 6. Let i(b) = -6*k(b) - 11*s(b). Let c = 8 - 6. Let p(a) = -1. Let w(o) = c*i(o) + p(o). Differentiate w(g) wrt g.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 10\/7*a**3 + 2\/7*a**2 - 10\/7*a + 4\/7 - 6\/7*a**4 = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l + 7*l = -12. Put 0, -17, 3, l in descending order.\nAnswer: 3, l, 0, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3936 - 3670 + 6709)*(-3*n**4 + 5*n**4 - n**4) + 13*n**2 - 13*n**2 + 14*n**4.\nAnswer: -883*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**2 + 680838*m + 59217768 = 0. What is m?\nAnswer: -340332, -87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 36, -5 in descending order.\nAnswer: 36, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-2\/15)*p*p*p*p*((p\/(p**(-44)*p)*p)\/p)\/p*p)\/(p\/(p\/(p**(-17\/3)\/p*p)))**(-46) assuming p is positive.\nAnswer: p**(-1059\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -189*f**3 - f**2*r + f*r + 61*r - 129 wrt f?\nAnswer: -567*f**2 - 2*f*r + r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 20, -11, -84, -217, -428, -735, -1156, -1709?\n\"Answer: -3*w**3 - 3*w**2 - w + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -102, -4, -3, -2\/13, -2 in ascending order.\nAnswer: -102, -4, -3, -2, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -30\/1187 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 8 = 4*i, -4*q - 1 = -i - 38. Let r = 12 - q. Suppose -r*h + 40 = -144. List the prime factors of h.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d + 10*d + 4*i = -42, 3*d - 303*i + 25 = -298*i for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ub when two letters picked without replacement from {t: 2, f: 1, a: 1, l: 1, b: 2, u: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33.032 + 33. Let f = 31.2 + -31.003. Let r = f + x. What is r rounded to 2 decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4780203487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/2)\/((-6)\/(-16)). Let g be (-774)\/(-72) + 14\/(-8) + 2. Let v(d) = -6*d**2 + 10 - 2*d**3 + 5*d - g + 3*d**3. Give v(b).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 720129785 minus -18?\nAnswer: 720129803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hnph. Give prob of sequence ph.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32706?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4)\/((f\/(f*f**(2\/5)*f*f))\/f)*(f\/(f\/((f\/(f\/(f**(-6)\/f)))\/f))*f)\/(f\/(f*f**(-1\/4)*f)))\/((f*f**(-1\/3))\/f**(-2\/15))**26 assuming f is positive.\nAnswer: f**(-553\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2280 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 871258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 37630121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 3*k**2 - k + 3. Let b be r(-3). Let j = b + 53. Suppose 0*o + 45 = j*o. Let w(u) = u**3 - 8*u**2 - 10*u + 7. Give w(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 6. Suppose 4*b - 183 = -5*t, 4*b + 3*t = 29 + 148. Let o be 12\/b + (-8)\/28. Solve 6*g - f*g - 6 = o for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 6:11 PM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1878674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 96506.\nAnswer: 289518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-1*(-6)\/(-10)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 4566*r + 0 - 602*r.\nAnswer: -5168*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3315.7 (b) 75 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((130\/50)\/13*1). What is the nearest to 25\/3 in 7, -1, n?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/2 and ((-172)\/(-20))\/(32\/20).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -0*b. Let m = -193 - -1114. Suppose 3*a - 1116 - m = b. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 8 - 4. Suppose 3*d = -4 + w. Let q = 8 - 6. Solve -k + 2 + q = d for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r + 16*r + 6 = 0. Solve r*k + 5 = -5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1891, -4447, -8709, -14677, -22351, -31731?\nAnswer: -42817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1234219\/90 + -13713. Calculate the common denominator of 157\/90 and g.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 9984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and (-24)\/8 + 117 - 4?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (4 + sqrt(325) + 3)**2 + 4 + 1.\nAnswer: 70*sqrt(13) + 384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -114291\/5 >= -3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46 and 10.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 12:19 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 0 + (-2 - -26). Find the common denominator of 88\/15 and (-16)\/6*(-210)\/p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 1:58 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -89 - -87. Suppose -3*z + 6*z - 17 = 5*h, -2*h = -2*z + 14. Let w be (z\/(-6))\/(6\/(-16)). Sort 2, x, w in descending order.\nAnswer: w, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 123351081.\nAnswer: 61675540.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -5675?\nAnswer: -4\/5675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53 (base 6) to base 7.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 285034330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 122023 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 5*a = 10, 12 - 21 = -3*h + 3*a for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29162877?\nAnswer: 3, 9720959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 409\/113, 59 in increasing order.\nAnswer: -5, 409\/113, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27048 and 294.\nAnswer: 27048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 2:43 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2430\/17 + 9737\/68. Factor t*l**2 + 36 + 6*l.\nAnswer: (l + 12)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2831, 5691, 8597, 11549, 14547, 17591?\nAnswer: 20681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 - 15. Let m = j + 4. Calculate the remainder when 19 is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.44 - -0.5. Let t = -1.16 + h. Let i = -1.1 - t. What is the biggest value in i, -1, 1.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - n + 9. Let r be o(8). Suppose -21*m + 2*m = -247. Calculate the greatest common divisor of m and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1112419 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from jjjjjjjjssjs.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + -2 + -5 + 2. Let y = 12 + j. Suppose -3*t + y = t. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59939242 is divided by 89?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)*2 + -3)**2 + (sqrt(560)\/sqrt(5) - (2 + sqrt(1008) + sqrt(7))).\nAnswer: -33*sqrt(7) + 119","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -24758.\nAnswer: 11\/24758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78237*u**3 - 78236*u**3 + 1799440 - 1799440.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*h - 141270 + 2568. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79971 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 3*c - 1 = -2*m, 2*c + 0*c + 11 = m for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 17*z**2 - z + 5. Let v be a(17). Is (9\/v)\/(4\/(-80)) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -14 + -37 - -51?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-138))\/((-2)\/(-60)). Let a = v + 134\/115. Factor 16\/5 + 1\/5*g**2 - a*g.\nAnswer: (g - 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 7*b**2 + 9. Let i be q(-7). Let v = i - 9. Suppose w + w - 4 = v. Calculate the remainder when 3 is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 11*g**2 - 4*g - 2. Let c be (-1)\/(-5) + 415366\/(-91280). Let r = c - 4\/163. Find the common denominator of r and x(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*a + 1\/3*a**2 - 1\/3*a**4 + 0 + 1\/3*a**3.\nAnswer: -a*(a - 1)**2*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/9350 and 101\/46750.\nAnswer: 46750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25103 is divided by 1925.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2913667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 45586.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 31*i - 987. What is f(24)?\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*l + 487 = -354 - 59 for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 83 - 72. What is the highest common factor of o and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + s**2 - 1. Let y(i) be the third derivative of i**6\/30 + 7*i**5\/60 + i**4\/8 - 2*i**3\/3 - 12*i**2. Let c(h) = -5*g(h) + y(h). Determine c(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15230733?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 29*m**2 + 54*m - 27. Calculate s(-27).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 4:09 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 378932 a multiple of 300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a - 4133 + 3*a**2 + 0*a + 4037 + 2*a**2 + 5*a**2 to the form d + l*a**2 + f*a and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -923, -921, -925, -929, -927, -913, -881, -825?\n\"Answer: m**3 - 9*m**2 + 22*m - 937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 1157.6923996 and -1.487.\nAnswer: 1156.2053996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289778919?\nAnswer: 3, 96592973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11 + 258?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11178 divided by 138\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3243, -3055, -2865, -2673, -2479?\n\"Answer: u**2 + 185*u - 3429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 7*u**2 - 5*u + 4. Let i be a(-6). Let f(r) = 15*r**2 - 2*r - 2. What is the smallest common multiple of f(i) and (-28)\/(-21) + 1 - 8\/24?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-84)\/24 + 4 + 27\/2. Calculate the highest common divisor of y and 238.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + (-4 - -3) - -2. What is the highest common divisor of 44 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17246 take away 0.3663?\nAnswer: -17246.3663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 27666*o**2 - 18*o - 7740. Let s(f) = -34583*f**2 + 22*f + 9675. Let a(v) = 22*b(v) + 18*s(v). What is the derivative of a(d) wrt d?\nAnswer: -27684*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 417020097?\nAnswer: 3, 13, 10692823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 30\/(-6) - (-3 + -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2097 and -7.97.\nAnswer: -2104.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**3 + 8*c + 11. Let k(w) = w**3 - 3*w - 4. What is 8*k(t) + 3*l(t)?\nAnswer: 2*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 21, -22, -95, -204, -355?\nAnswer: -554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a microgram in nanograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f - 2*f**2 + f + (-3*f + 3*f + 2*f)*((-2 + 4 + 0)*(6*f - 4*f + 5*f) + 6*f - 6*f - 6*f).\nAnswer: 14*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*v**2 + 93*v**2 + 5*v**2 + 47*v**2.\nAnswer: 32*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103 + 111 + 106 + 116 + 99*t - 436.\nAnswer: 99*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 61 + -57. Suppose s - 2918 = -4*b - s, -2*b - w*s + 1474 = 0. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + 2. Let u = 16 - p. Let n be (6\/4)\/(-1)*-6. What is the highest common factor of n and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 173 = -s + 108, a + 3 = 0. What are the prime factors of s?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17\/2 or -10?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -199*w**3 - 12*w**2 + 9*w + 7. Is d(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 33 = -18 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 881*o - 45 + 6 - 895*o in the form b*o + j and give j.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -122\nAnswer: 5\/122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 126 + -53. Let d = 36 - k. Let r = -37.42 - d. Round r to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aoms when four letters picked without replacement from shhwmao?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-6)*r**3)\/(r*r\/r**(-7)*r*r\/(r**(-2\/7)\/r)))**(3\/10) assuming r is positive.\nAnswer: r**(-321\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3192*l + 5789. What is o(-3)?\nAnswer: -3787","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 8*d**2 + 10*d - 7. Let r be u(9). Suppose p - 22 = -m, r*m = -2*m. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-30)*(3\/33)\/((-24)\/120).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.97 - 0.03. Let g = -3.9992 + -0.0008. Which is the closest to -2? (a) h (b) 1\/4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34\/((-3 + 2)*-2) is divided by (-1 + 1\/(-2))*-6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 785 and 1124 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - (-9)\/6*4. Let u be f*1\/((-99)\/6). Which is the nearest to -0.1? (a) u (b) 0.2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - y + 35. List the prime factors of y.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ool when three letters picked without replacement from ooll?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 2*g**3\/15 + 9*g**2\/5 - 44*g\/5 - 94. Factor l(p).\nAnswer: 2*(p - 2)*(p + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(176))**2 - (sqrt(11) - (-3 + sqrt(11)))*1.\nAnswer: 4397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 6, -2 + 16 = -2*z - 4*u. Let g be (1 + -1)*3\/(-3). Let c be (-9 - g)*(-600)\/z. Round c to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wzz. Give prob of sequence zwz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -733982720 by 128.\nAnswer: -5734240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2661*(69\/9 - 9) - 3 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/2*(-4896)\/(-2754)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - (-4)\/2)\/(2*-2). Suppose f = 5*x - 2 - 8. Let h be 6 + -9 - (x - 10). Solve 5 = 5*n + 5*j, 0 = 4*n + 2*j - h*j - 11 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 4*o - 3. Let b = 49\/2 + -24. What is the closest to 0.1 in b, o, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 48*d + 1. Let k(w) = -w**2 + 5*w + 7. Let v be (18\/15)\/((-2)\/(-10)). Let p be k(v). Is o(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -281 + 280.9. What is the closest to p in 0.5, -3, -9\/8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**2 - 846052*r + 89475498338 = 0.\nAnswer: 211513","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 30 = -7*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 * 345.\nAnswer: 3450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10649 * 1.287\nAnswer: 13705.263","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: (-12)\/3*4*(-24)\/64\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9581 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(3\/20))**(3\/10)\/(n**(3\/8)*n*n\/(n\/(n\/(n**24*n)))))**(1\/21) assuming n is positive.\nAnswer: n**(572\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3*w + 2*w = -22, -s = -w - 2. Is s a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -9*i + 0*i**3 + i**2 + 0 + 1\/20*i**5 - 5\/12*i**4. Let o be v(5). Solve 0*j + 8 = o*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**2. Let t be (3\/6)\/(129\/42 + -3). Let j(g) = -9 - 15 + t*g**2 + 24. What is i(j(h))?\nAnswer: -98*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w + t - 8, 3*w - 35*t = 2*w + 115 - 53 + 72 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8999 + 9166. Solve -148*y + o*y = -57 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.21, -1\/4, -6, -5 in descending order.\nAnswer: -0.21, -1\/4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -127772\/5 + 25438. Let w = 117 + i. Let h = 0.422 - 0.122. What is the smallest value in w, h, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-4 + 10) - (-1 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2*(sqrt(125) + -2 + sqrt(125))*-4)**2.\nAnswer: -3040*sqrt(5) + 32361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 3*t**2 + 6*t - 5. Let z be r(2). Suppose 0 = a - z*i - 95, 420 = 3*a + a - 4*i. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -97595*i + 55690*i + 55149*i to o + g*i and give g.\nAnswer: 13244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4*t + 39 - 23 = 0, 9*t + 56 = w. What is the nearest to 0 in 4, w, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 26*t**2 + t + 17. Let g = -17 - 9. Let c be b(g). Let n be (-5)\/15 + ((-12)\/c - 1). Solve -4 = -n*m - 2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 73 + -81.5. Let s = -8.44 - j. Let z = s + 0.44. Which is the second biggest value? (a) z (b) 2\/5 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/4)\/(-5) + 525\/(-30) + 11?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1626*l - 16 = -1634*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12523\/49520 + -25\/619. Let q = t + 3\/16. Factor -6\/5*s**4 + 4\/5*s**5 + 0 + 0*s**2 + 0*s + q*s**3.\nAnswer: 2*s**3*(s - 1)*(2*s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 24*f + 637. Let k be q(0). What is the greatest common factor of k and 147?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(2\/17))*a)**(6\/13) assuming a is positive.\nAnswer: a**(114\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2.2 times 0.013\nAnswer: 0.0286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 1264?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64 by -31.\nAnswer: 64\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 1 - 2 = 2*i, -6 = 4*t + 5*i for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9737, -77932, -263041, -623522, -1217833, -2104432, -3341777?\n\"Answer: -9743*j**3 + j**2 + 3*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**2 - 5 + 3*o**2 + 2*o**3 - o**3 - 496*o - 4*o**2 + 502*o in the form t + w*o + u*o**3 + p*o**2 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 15*i + 12*i + 8 = 0, 2*g - 3*i = 2 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2 - 79*b + 541. Give v(17).\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u + 11. Let i be o(8). Suppose -3*l = 6*y - i*y - 435, 4*l - 3*y - 580 = 0. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3397341 is divided by 151.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 c when two letters picked without replacement from {c: 1, a: 1, e: 1, m: 1, q: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17766\/8717 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 11, h: 1}. What is prob of picking 1 h and 3 e?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 3*k**2 + k - 2. Let q be x(2). Solve 4*r - 9 = 2*i + 9, -3*r + q*i + 26 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3647442337071 - -7\nAnswer: -3647442337064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110101001010010 (base 2) to base 3.\nAnswer: -1101100002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**4 + 2*a**4 + 3*a**4 - a**4 + a**3 - a**3 + (4*a + a + 0*a)*(3*a**3 - 4*a**3 + 3*a**3).\nAnswer: 11*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 4*b**2 - 380036*b - 760088 = 0.\nAnswer: -2, 95011","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 292 and 6497?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-8) - 66\/(-24). Suppose 0 = -4*h + u + 17. Suppose -h*j = 2*l - 29, -j - 103 = -4*l - 34. What are the prime factors of l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 656378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 278, 276, 274, 272?\n\"Answer: -2*c + 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*j**5 - 2*j**4 - 659*j**3 - 158*j**2 + 32.\nAnswer: -180*j**2 - 48*j - 3954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29952\/23 - 1291809\/230. Let j = -10333 + 6013. Let r = o - j. Calculate the common denominator of r and 29\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 30*f**2 - 190*f - 23. Calculate n(21).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-5 + 8 + 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 81.3262us?\nAnswer: 0.0813262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2063 - -3037. What are the prime factors of d?\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -44011 + 4?\nAnswer: -44002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 929*c + 6259 = -11332 - 6563 for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2702119 is divided by 1385?\nAnswer: 1369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-2)*(-1)\/(-45)*10\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/21)*p)**44 assuming p is positive.\nAnswer: p**(1012\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 5*r + 25 = 0, -5*p - 8*r - 70 = 6*r for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 + 8 - (0 - -2)) + (-345 - -346)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5140 divided by 4.\nAnswer: 1285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + -1)\/(-4 + 2). Suppose -3*i - 9 = d, 0*i = 3*b + 5*i - 225. Is b a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38 + -41. Let g = 0.3 + -0.2. Let z = 8261\/60 - 551\/4. What is the third smallest value in p, z, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 9*p - 1. Let c(m) = -90*m**2 + 2*m - 2. What is c(q(y))?\nAnswer: -7290*y**2 + 1638*y - 94","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*q**2 - 251*q**2 - 532*q**2 to the form s*q**2 + l*q + y and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of v**4\/4 + v**3 - 5*v**2\/2 - 4*v + 1. Let x be z(-4). Let a(k) = 5*k + 36. Let o be a(-6). Solve -3*m - o = -x for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of f**4\/12 - f**3 + 2*f**2 + 9*f. Let o be n(6). Solve -o*l = -9*l - 15 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004864282521 rounded to 6 dps?\nAnswer: 0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4*q + 21 = 0, 3*n - 9 = 3*q - 30. Let i(p) = -6*p**2 + p + 2. Determine i(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4\/33 (b) 3\/5 (c) 0.1 (d) -0.7 (e) -3 (f) 4\/279\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 378*l**3 - 375*l**2 - 21*l + 18.\nAnswer: 3*(l - 1)*(9*l + 2)*(14*l - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 374178 and 2743972?\nAnswer: 8231916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 127, 302, 559, 904?\nAnswer: 1343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**3 - 3*t - 1. Let i(r) = 109*r + 2191. Let h be i(-20). Let c(v) = -6*v**3 + 8*v + 3. Give h*n(l) + 4*c(l).\nAnswer: -2*l**3 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3368783939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -19*u + 77357. Let h(t) = t**2. What is i(h(r))?\nAnswer: -19*r**2 + 77357","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154825*y - 4 + 4 + 0.\nAnswer: -154825*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n**2 - 190*n + 97. Let i be c(47). Factor 2\/3*g**i + 0*g + 0 - 2\/3*g**4 + 0*g**2.\nAnswer: -2*g**3*(g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0602427896 to 5 dps.\nAnswer: 0.06024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + 18 - (369 - 326).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*l + 7257 = 115*l - 20848 - 7959 for l.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -221*n**4 + 4*n**3 - 11*n**2 + 3*n - 137 wrt n?\nAnswer: -5304*n + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**2)**42*(j\/j**(6\/5))\/j**(-7\/3))\/(j\/(j*j*j**(-11))*j\/j**(-8))**(-1\/44) assuming j is positive.\nAnswer: j**(57133\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 9d?\nAnswer: a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 34126147 divided by -6677?\nAnswer: -5111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.3 - -7.3. Let i = 0.04 - -1.46. Let q = x + i. Which is bigger: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*i**4 - i**4 + 0*i**4)*(0 + 4 - 2)*((0 + 3 - 1)*(-2 - 3 + 4) - 5 + 10 + 15) to the form h*i**3 + b + c*i**2 + k*i + f*i**4 and give f.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 19\/4 of a millimeter?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -127*s - 9*s - 239*s as i + g*s and give g.\nAnswer: -375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -473 and 0.1?\nAnswer: -47.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2093096497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3769671335 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -136289419*m**4 + 668549*m - 76?\nAnswer: -1635473028*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -71*y + 5. Let p(l) = 0*l + 129*l - 124*l. Calculate b(p(n)).\nAnswer: -355*n + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from vvvvvvvvvvvvvvvssvvv.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 10*i - 8. Solve 0*l - i*l - 4 = 4*m, -3 = -l + 3*m for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -12*c**2. Let j(b) = 4*b - 2*b + 0*b. Give p(j(l)).\nAnswer: -48*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 - 0. Let r = -279835 + 279834.4. What is the nearest to r in 1, -0.4, a?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -59 - 31 - (137 + -220).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 12*z**2 - 56*z + 73. Let r be f(40). Let n = -6167 - r. Round n to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(13) - (sqrt(117) - sqrt(13)))**2*1.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 96123?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 5, -1.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (106\/795)\/(2\/33) + -5\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**5\/7 - 7276*y**4\/7 - 420412*y**3\/7 - 3020824*y**2\/7 - 6228790*y\/7 - 517300 = 0. What is y?\nAnswer: -49, -5, -2, -1, 3695","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -78573778\nAnswer: -7\/78573778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*a + 3*o + 72 = -43*a, 2*a - 46 = o. What is the remainder when 35 is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and -158022067.\nAnswer: -158022067.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*h + 8. Let v = -7 - h. Let r be (1 + v)*(-5 + 2). What is r rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*w + 9*w - 2*w - 5*w in the form o*w + z and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 407 is divided by 187?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2100 and 100?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5869 - -3080. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -7*u + 5*u. Let w = u - -13. What is the highest common divisor of w and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -39\/4. Which is the second biggest value? (a) 0 (b) 1\/5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - 6 - 22\/2. Let o = j - -52. Let x = -28 + o. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5*f = 0. Suppose f = 4*w - 3*w - 3. What are the prime factors of 4 + (0 - -39)*w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m**2 - 4*m + 3. Let k(t) be the third derivative of 0*t + 0 + 8\/3*t**3 - 7\/8*t**4 - 9*t**2 - 4\/15*t**5. Give 2*k(c) - 11*r(c).\nAnswer: c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n - 2000 = -4058 - 2954. What is the highest common divisor of 74 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36194180833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 43*t - 8. Let i(q) = 29*q - 5. Calculate -8*i(y) + 5*w(y).\nAnswer: -17*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 6*c. Let l(j) be the first derivative of -j**5\/120 - 8*j**3\/3 - 6. Let h(v) be the third derivative of l(v). Calculate y(h(b)).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 279 + -429. Suppose -5*s + 2*s - 30 = 0. Is x\/(-4) + 5\/s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence da when two letters picked without replacement from makydxmy?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 44335698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.432445 - -718\nAnswer: 718.432445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11701, -23389, -35077?\n\"Answer: -11688*b - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 586745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x. Let w be r(1). Suppose w*l = -m + 8, 0*m = -5*m - l + 49. Let h = 16 - 14. Calculate the least common multiple of h and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -2*x + 32, t = -2*x - 3*x + 68. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m - 16. Let f be h(-5). Let u(r) = -3706 - 3700 + 11106 - 3699. Let k(l) = 6*l + 3*l - 4 - 5*l. Calculate f*k(y) - 4*u(y).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -4ae67b?\nAnswer: 4ae678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 156*d**2 + 1530*d + 9421. What is g(145)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -75 - -135. Calculate the smallest common multiple of k and 42.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 96 - 629086?\nAnswer: -628aa0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-162)\/(-12))\/((-1)\/(-2)). Differentiate 33*n**3 - o*n**3 - 2 - 1 wrt n.\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3876)\/5168)\/(7\/(-28)*((-10)\/(-4))\/5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39995771*p*r**3 - 4*p*r**2 - 982*p - 2*r**2 + 276*r wrt r?\nAnswer: -239974626*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 3*n + 40, -3*q - 4*n + 3 = 8 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4272\/536 - 20*(-36)\/24120?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-1*(sqrt(1600)*6)\/(-5*sqrt(8)*-2)*-5.\nAnswer: -60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of c**4\/4 - c**3 - c**2 - 98*c + 26. Let z(y) = 1 + 2*y**2 + 0*y**2 - 1. Calculate l(z(h)).\nAnswer: 12*h**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ijjijilccjiljjjjc. What is prob of picking 1 j and 1 c?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -200377 by 2.\nAnswer: -200377\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/6)\/((-2)\/3). Let y(b) = 2*b - 2. Let q(k) = 7*k - 6. Let i(c) = -2*q(c) + 6*y(c). What is i(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2549712 and 704.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.94164mm to nanometers.\nAnswer: 27941640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -6*r - 7. Let f(a) = -3*a + 4. Let x(c) = c - 2. Let w(j) = -3*f(j) - 7*x(j). Determine -2*l(n) - 7*w(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 5. Suppose -84 = -m - u*m. What are the prime factors of m?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87*(-8)\/(-6)*24\/(-960)*10.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -226, -225, -224, -223, -222?\n\"Answer: y - 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (-40 - -148) + -56.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -1. Let q = 3 + -1. Suppose 108 = 2*d + 112. Which is the smallest value? (a) i (b) q (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 50\/4*(-76)\/(-95). Suppose -13 = -h*j - 13. Put -3, -20, -5, j in descending order.\nAnswer: j, -3, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 74*j + 11. Is g(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (13 + -15 + 16)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v + 38 - 193 - 32 = 0 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 825690 - 468473. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -16 and -5264021.614947?\nAnswer: 5264005.614947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -134 divided by 67.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1 - 38*x**2 + 1678*x - 188*x**2 + 1 - 1689*x wrt x.\nAnswer: -452","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.5 (b) -1 (c) 3 (d) -3\/10 (e) 224 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v - 8*v = -456. What is the remainder when 397 is divided by v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v**3 + v**3 + 2*v**3)*(17967*v + 19714*v - 33517*v).\nAnswer: -8328*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**3 - 13655*a**2 - 2413950*a.\nAnswer: -5*a*(a + 190)*(a + 2541)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**2 + 1. Let l be h(1). Let s be (-8 + 7)\/(1\/(-2)). Are l and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*x**4 - 15*x**4 - 31*x**4)*(x - 5*x + 0*x) + 2*x**5 - 5*x**2 + 5*x**2.\nAnswer: 258*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 1 - 7 = 0. Suppose -l*m + 5*m - 231 = 0. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 125773 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1220 = 207*j - 599. Suppose 3*d = 3*z - 6, z + 4*d = 3*z. Sort j, -1, -4, z in decreasing order.\nAnswer: z, -1, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -93 divided by 6?\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + j**2. Let p be a(-2). Calculate the lowest common multiple of 10 and (p\/(-1))\/((-10)\/(-15)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 - 3*f**2 - 2*f**2)*(2*f - 5 + 30 + 0*f).\nAnswer: -10*f**3 - 125*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 237*h + 32 + 20*h - 11 - 20 to the form g*h + q and give g.\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 5*z + 10, 4*j - z = -2*z - 2. Let n(t) = 2*t + 6*t + j*t. Let p(s) = -2*s. Calculate n(p(i)).\nAnswer: -16*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/44 + (2 - 4\/(-22)). Solve 4*x + 6 + 12 = q*m, 4*m + 2*x + 4 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7225541\/480 - -15053. Find the common denominator of i and -1\/33.\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - n = 2*n + 3, -5*q - 4*n + 41 = 0. Let t = -421\/798 - 5\/114. What is the second biggest value in t, 1\/8, q?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 250, 237, 216, 187, 150, 105, 52?\n\"Answer: -4*h**2 - h + 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 253 - 180. Let h = n + 751. What is the hundreds digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -266 + 284. Is ((-3892)\/(-6) - -1)\/(u\/54) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55535 is divided by 156?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b\/((b\/b**5)\/b))*b)\/((b\/(b**(1\/2)*b)*b)\/b) assuming b is positive.\nAnswer: b**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(3 - 2) - 0. Let v(l) = l**3 + 9*l**2 + 2. Give v(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -3*c**2\/2 - 11*c + 1. Suppose 2*s + 4*r + 30 = 0, -4*s + 3*r = -2*r + 8. What is the smallest common multiple of 2 and x(s)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.51 + 0.51. Is 11\/4 greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3887*f**2 + 7765*f**2 - 3883*f**2 - 434 + 434.\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35*-3456.\nAnswer: -120960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 22 (b) 8 (c) 0.09 (d) -1 (e) 538\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -332 less than or equal to -331?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 212021 (base 3) to base 4\nAnswer: 21310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 21 = -z, -h - 19 = -20*z + 17*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4628713*0.4.\nAnswer: 1851485.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tettetkettteexxtxte. What is prob of picking 1 x and 1 t?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 11*d + 0*d**3 + d**3 - 2*d**2 + 3 + 14*d**2. Let l be y(-11). Factor -p**2 + 4*p + 3*p**l - 6*p - p**5 + 10*p**4 - 9*p**4.\nAnswer: -p*(p - 2)*(p - 1)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 78 = -53, 0 = -4*n - o + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 75852 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65*t + 6*t**4 + 65*t)*(142*t - 9*t + 44*t).\nAnswer: 1062*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8070 by 6.\nAnswer: -1345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 2148.\nAnswer: 6444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3823*r - 623. Is k(-60) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-126)\/(-50))\/7)\/((-6)\/(-10)). Let m(a) = -a**3 - 7*a**2 - 5*a + 6. Let h be m(-6). What is the smallest value in l, h, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.4032221 to one decimal place.\nAnswer: 8.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 9:22 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + -1 + 5 + -3. Suppose 4\/3*l**2 + 0 - 2\/3*l**x + 0*l = 0. What is l?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + y - 1. Suppose 0 = 4*v + u + 1, 4*v - 2*u + 11 - 1 = 0. Let n(l) = -2*l**2 + 4*l**2 - l**2 - 1 - 3*l + 5*l. What is v*n(o) + 2*b(o)?\nAnswer: 2*o**3 - o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-4)*(n*n**(-2\/7))\/n)**(-2\/91))**(-36) assuming n is positive.\nAnswer: n**(-1656\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 786 + -1*6\/(-2) + -2 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 9, q: 4, l: 3}. What is prob of sequence ll?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 4*j**2 - 2*j. Suppose 0 = 3*v + v - 12. Calculate the smallest common multiple of v and x(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 391255 to the nearest 10000.\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10 or 549\/2?\nAnswer: 549\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.9 in 10.6, -0.07, -2, -0.5, -6?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 6*c + 0*c**2 + 8*c + 4*c**2)*(2 + 1 + 2) to the form x*c**2 + r*c + i and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-13 + 9)*1154\/(-8). Suppose 4*q + j = 2213. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14421, 57678, 129771, 230700, 360465?\nAnswer: 519066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 77*g + 4 = -81*g, 2*g - 10 = -2*h. Solve -4\/7*s**h + 0*s**2 + 2\/7*s**4 + 0 + 0*s = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 280 = 3*v. Is v a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 1)*((6*c - 2*c - 2*c)*(-5 + 2 + 2) + 321292 - 1656*c - 321292) in the form h*c + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2.1+-0.19872\nAnswer: 1.90128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 127208 = 9*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 2*x - 11, -22 = -2*z - 3*x - 0*x. What is the remainder when 31 is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 314 divide 29144224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 63306518?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**2 + 12228*j - 37380996 = 0 for j.\nAnswer: 6114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4477769 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 5*t - 14. Calculate h(-7).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 146 - 181. What is the remainder when (38\/(-6))\/(g\/105) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*i**5 + 2*i**5 + i + 2*i - 17*i wrt i?\nAnswer: -40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 217045873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -359*c - 254. Is h(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*v = -19*v - 70 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 1208288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvvsvvbvvisv. Give prob of picking 1 i and 1 b.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 263434908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**3 - 5*u**2 - 40*u + 5 + 36*u + 5*u**3. Let j(r) = 4*r**2 + 6*r + 3*r**2 - 3 - 11*r**3 - 4. Let q(d) = 8*g(d) + 5*j(d). Give q(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -460 - -464. Suppose -10*w = -w + 27. Put p, -19, w in increasing order.\nAnswer: -19, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-6))\/((-44)\/33)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -5*n + 9, 3 = -13*n + 15*n - i. Let m(u) = u**2 + 6*u + 7. Let s be m(-5). Is s < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 75\/4 of a century?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17342403?\nAnswer: 3, 13, 444677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p**(-2))\/p**(-9\/8))**(1\/5))**(-2\/5))**(-2\/23) assuming p is positive.\nAnswer: p**(1\/1150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*-25858.\nAnswer: 181006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in -1\/7, -1\/399, 394?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1672 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: Round 0.00373909755 to 5 decimal places.\nAnswer: 0.00374","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in -0.122, -15, -1?\nAnswer: -0.122","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 4:36 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2d - b6?\nAnswer: -e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 * -76331.1.\nAnswer: -763.311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = -5*g + 2*m + 45, 84 = 2*g - 2*m. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185544 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 9:12 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 22, 3, 185, -41, -4, 5 in ascending order.\nAnswer: -41, -4, 3, 5, 6, 22, 185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236907522 is divided by 302?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 122 and 427?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 22469 = 4*z, -2*z = -24*j + 23*j + 7493. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.4 times -2.045958?\nAnswer: -21.2779632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 5*o - 28 = 0, -4*o + 28 = -s + 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 7:48 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q = -13*q + 20. Suppose g = -2*n, 2*n - 4*g - q = 5*n. Suppose n = d - 4*f, -2*d - 2*f + 8 = -6*f. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g - 1. Let h(j) = -5*j - 3. Determine -2*h(k) + 9*l(k).\nAnswer: k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -m**5\/4 + 35*m**4\/4 + 2175*m**3\/2 + 57375*m**2\/2 - 11731*m. Suppose s(j) = 0. Calculate j.\nAnswer: -15, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12383 and 667?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 44625 - (-4 + 0 + 2). Let s = d - 1338671\/30. What is the common denominator of s and -68\/39?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 2:56 PM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 56\/(-294)*((-1)\/(-2) - -1). Let r = -21 + 17. Let f = -1.8 + -1.2. Which is the nearest to -0.09? (a) r (b) f (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2. Let g(d) be the third derivative of -5*d**2 + 0*d**4 + 0*d**3 + 0 - 1\/20*d**5 + 0*d. Determine p(g(w)).\nAnswer: 9*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -106 + 73 + 28 + -2 + -11?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (14 - (-1 + 7)) + -7.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 25, 6, -31, -92, -183?\n\"Answer: -x**3 - 3*x**2 - 3*x + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -46*y**2. Let p(v) = 64777*v. Determine p(l(r)).\nAnswer: -2979742*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k - 21*r + 19*r - 10, -r = 3*k + 8 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1430421 - -13314?\nAnswer: 1444240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -176 and -0.06326?\nAnswer: 11.13376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59 - -63. Let r be m\/10 + 16\/(-40). Solve -l = -4*n - 1, n + l + l + 7 = r for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 34\/7 + (-3)\/(-21). Suppose 7*k - 52 = 9*k. Let r = -28 - k. Put r, h, -1 in ascending order.\nAnswer: r, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/200848 - 653331\/115487600. Which is bigger: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 244192 and 1768.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -9729*b - 12 + 3 + 16 + 9714*b + 25. Let g be 6*-1 - (-2 - -2). Is x(g) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 2*q + 5. Let h be l(-9). Let d = 100 - h. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -436 - -440. Calculate the remainder when (-6 + 2)*(-14)\/8 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3646909 is divided by 95971?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7a + 0?\nAnswer: -7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/3)\/(2\/(-6)). Let q = 0.06494 - 0.76494. What is the nearest to g in 0, -0.4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -9, 3*u + 4*a = 4 + 20. Suppose 2*m + 281400 = -7*v + 3*v, -5*v = -u*m - 562800. Round m to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 725 and 875?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1829 = -40*p + 8029. List the prime factors of p.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56 (base 11) to base 13\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s - 1. Let r(y) = -y + 1. Calculate 4*k(n) + 3*r(n).\nAnswer: 5*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -2909?\nAnswer: -2905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -248*h**5 - 60*h**5 - 402*h**5 + (-3 + 3 + 3*h)*(0*h**4 + h**4 - 2*h**4).\nAnswer: -713*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2812900965 to the nearest integer?\nAnswer: 1412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*f + 36. Let y = 1 - -4. Suppose -y*d + 5*r + 20 = -40, 0 = d + 4*r - 12. Calculate the highest common factor of f and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 41 - 65*z - 24)*(12 - 20 - 12).\nAnswer: 1300*z + 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -78326, -156636, -234948, -313262, -391578?\n\"Answer: -s**2 - 78307*s - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 - 100111011?\nAnswer: -101000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 4 = -4*z. Let m = z - -3. Let q be (-835)\/25 - m\/(-10). What is q rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4 = d, -2*j + 10 = -0*d - 4*d. Let z = 8 + -6. What is the remainder when j - z - -1*26 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/17 + 37132*c\/17.\nAnswer: 2*c*(c + 18566)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r + 4*c + 4, 2*r + 7 - 30 = 3*c for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/30 - (21\/(-25))\/((-990855)\/(-13950) + -71).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5*q**6 - 3*q**5 - 7*q**2 - 3*q. Let b(j) = 5*j**6 - 4*j**5 - 7*j**2 - 4*j. Let h(t) = -3*b(t) + 4*c(t). Find the third derivative of h(m) wrt m.\nAnswer: 600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 489156 and 180.\nAnswer: 7337340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-173348*q + 173348*q - 457*q**2)*(-4 - 1 + 3) + 0*q**2 - 2*q**2 - q**2)*(-3 + 2 - 3)*(-1 - 2 + 2) as z*q**2 + w*q + l and give z.\nAnswer: 3644","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 103 = -3*b, -2*b - 48*b = -35*a + 39*a - 38 for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**3 + 4*y**3 - 2*y**3 + (3 + 3 - 2)*(-3 + 2 + 4)*(-2*y**3 + 3*y**2 - 3*y**2) + (3*y + 0*y - 4*y)*(-2*y**2 + 3*y**2 - 2*y**2) - 4 + 5*y**3 + 4.\nAnswer: -17*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 12, -2*i + 2*d - 6*d + 16 = 0. Suppose j + 0*j = i. Suppose j = 2*c + 3*c - 140. Calculate the greatest common divisor of 14 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*p**3 - 3*p + 2*p + 17*p**3 - 10119 - 9567.\nAnswer: -2*p**3 - p - 19686","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 3*r + 65286, -15*r = 4*m - 14*r - 87051. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 154*w - 211. Let j be k(4). Let x = j + -380. Solve -4*t + x = 2*h + h, -h - 3*t + 15 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -92 - -166. Let c = d + -54. What is the second derivative of -c*y + 30*y**3 - 26*y**3 - 2*y wrt y?\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -0*x - 4, -5*s + 4 = -2*x. Suppose o + 3*v = -s*o + 73, 0 = -o + 5*v + 113. What is the remainder when o is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + z + 25. Let v be ((-3)\/2 + 1)*0. Calculate the remainder when 73 is divided by u(v).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -127 - -167. Suppose -3 + 1 = d, -4*x + 18 = -d. What is the remainder when q is divided by 54\/x - 2\/(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 220 by -6.\nAnswer: -110\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 5*p - 9. Let c be g(-7). Solve 0 = -c*n - 3*a + 5*a + 22, a + 1 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -13*j. Let k(q) be the first derivative of 33*q**2\/2 - 912. Determine k(p(u)).\nAnswer: -429*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3 + 31668*m**2 + 569148*m + 1011648.\nAnswer: 3*(m + 2)*(m + 16)*(m + 10538)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 116*f - 732. Give z(12).\nAnswer: 660","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4))**(-4\/33)\/(z*((z\/z**7)\/z)\/z)**20 assuming z is positive.\nAnswer: z**(4636\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2827348 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.48 - -0.02. Let z = -3.5 - u. Let r = -4.6 - -6.6. What is the closest to r in 0.2, 1\/3, z?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 less than -46170.07789?\nAnswer: -46203.07789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 79 - 74.9. Let b = 4.0999891 - w. Round b to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-408)\/3927 - (-2)\/(-11))\/(-1).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2502802.\nAnswer: 2, 691, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r = -2*r + 45 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14\/9 + -19\/18. Let y = -2\/121 - -494\/605. Let k = 0.0151 - 2.0151. What is the closest to 1 in q, y, k?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*b + 68*b - 21 = -3*o, -3*o - 21 = -10*b for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -5*v**3\/6 + 7*v**2\/2 + 13*v. Let w(r) = -9*r + 13. Calculate -5*c(n) + 3*w(n).\nAnswer: -2*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -20, -46, -92, -164, -268?\nAnswer: -410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -74*r**2 + 20*r - 2346. Let m(t) = 11*t**2 - 3*t + 336. Let k(g) = -20*m(g) - 3*p(g). Let h(u) = -2*u. Determine k(h(n)).\nAnswer: 8*n**2 + 318","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qio when three letters picked without replacement from qofirooiroxxqq.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -108*o + 3 + 7 + 109*o - 3*o**2 - 4 to the form a + d*o + y*o**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**3 + 78*x**2 + 4. Let t be o(39). Suppose 0 = -0*q + t*q - z - 664, 0 = -q - 3*z + 166. List the prime factors of q.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 8*w + 8. Let z(g) = 2*g**3 + 13*g**2 - 15*g - 51. Let i be z(-7). Calculate d(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 7*q**2 + q - 5. Let t be w(7). Suppose -t*u + 19 = -3*n, 2*n = -2*u + 3*n + 9. Let a be 24\/(-2)*5\/15. Sort -3, a, u in descending order.\nAnswer: u, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 836 is divided by 323?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13561181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 231 - 54. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 28 = 4*i, -139*d = 4*i - 135*d + 44 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8111414.\nAnswer: 2, 17, 61, 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -6334824*j. Let g(a) = a. Calculate g(y(r)).\nAnswer: -6334824*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46 + 65. List the prime factors of a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 21*v**2 + 6*v**2 + v**2. Let j(f) = -741*f - 743*f + 2219*f - 734*f. Give j(g(i)).\nAnswer: 28*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 0 - 11 - (54 + -56)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -18187 to the nearest 1000.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t - 2*t + 8*t. Let p(o) be the first derivative of -7*o**2\/2 + 2023. Determine x(p(l)).\nAnswer: -56*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -16*k**3 + 12*k**2 - 392*k - 8. Let f(p) = -13*p**3 + 10*p**2 - 394*p - 7. What is 6*f(v) - 5*l(v)?\nAnswer: 2*v**3 - 404*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 132 - 1453\/11. Calculate the common denominator of 699\/60 - 6\/(-10) and d.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1130\/145847?\nAnswer: 1130\/145847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eighty-seven quarters of a minute?\nAnswer: 1305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -40 + 46. Suppose -6*n - b = -18. Suppose -2 = n*j, 0*q + q + 5*j = -8. Is 1 greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -36*s + 10*s + 6 + 30*s. Let z(i) = -i - 1. Give -j(n) - 5*z(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 + 32. Suppose -10*l = -s*l + 164. Does 18 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ck when two letters picked without replacement from ceuckkkkkzkckkkkck.\nAnswer: 22\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 48\/9 + 4\/6. Suppose -3*u + 0 = -l. Suppose -i + u*t + 10 = 0, -3*t = -5*i + 2*t + 70. Is i a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 6*g**2 - 2*g - 10. Let t(q) = q**3 - q - 1. Let d(f) = 2*h(f) - 4*t(f). Factor d(s).\nAnswer: -4*(s - 2)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7706 is divided by (-1 + (-24)\/(-48))*(-84)\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 297 = l, 4*l + 11 = -3*m + 224. Is m a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -11*r**5\/5 + r**2\/2 - 9. Find the second derivative of z(s) wrt s.\nAnswer: -132*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -3*p + 88, -4*k - 8286*p + 8291*p = 60 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 636 divide 303599853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2361 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-9)\/(-12))\/((-1)\/(-188)). Suppose 10 + 15 = 5*a. Suppose -a*s + c = -h, 3*s + 2*h - 88 = 6*h. Calculate the remainder when s is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 14 + 24*s + 20 - 10 - 27*s. Let g be 3\/(-2)*16\/(-3). Let t be f(g). Solve -5*p - 3*d = 14, -p + t = -2*d - 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2447 to the nearest 100.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 4*v**3 - v - 1. Let u be f(-1). Suppose 9*d - 13 - 23 = 0. Put d, 5, u in increasing order.\nAnswer: u, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1282, 1292, 1340, 1432, 1574, 1772?\nAnswer: 2032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 9:48 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -2. Let y be ((-2)\/n + 1)*26. Let p = y + 2. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 1.6, 1\/6 in descending order.\nAnswer: 4, 1.6, 1\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -8350035?\nAnswer: -4\/8350035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 483171*r**5 + 3*r**4 - 11*r**3 + 6643792*r**2 wrt r.\nAnswer: 28990260*r**2 + 72*r - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 134528567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15 + 25*v + 19*v - 46*v)*(1 - 8 + 1) in the form m*v + f and give f.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, r: 2, o: 4, e: 2, d: 1, n: 2}. What is prob of sequence ner?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 12 = -2*m - 3*h, -431*h = 3*m - 869*h + 437*h + 32 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**4*l)\/l*l**(2\/5)\/l)\/((l\/(l\/l**3))\/(l*(l**(-1\/7)*l*l)\/l*l)) assuming l is positive.\nAnswer: l**(149\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 12*u**2 + 28*u - 8. Let n be i(9). Solve -2*p - n = -5 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 48 in -19, 0.07, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 143490919 to the power of 1\/4, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 51655\nAnswer: -10331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 0.05, -1054442\/5 in decreasing order.\nAnswer: 0.05, -2\/7, -1054442\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31063 is divided by 1071.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 1\/2, 0.2 in descending order.\nAnswer: 4, 1\/2, 0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -i**6\/60 + 11*i**5\/30 - 3*i**4 + 12*i**3 + i**2 + 2*i + 18. Determine d so that z(d) = 0.\nAnswer: 2, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 4*l**2 - 3*l. Let k be -1*((-3)\/1 + 1). Let z be k*3\/(-3)*-3. Let g(j) = -j**2 + 5*j + 3. Let r be g(z). Calculate y(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.365 - 0.265. What is the closest to -2 in -1\/3, -3, -0.11, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.685 + 0.85. Let f = 0.065 - a. Let t = 0.7 - 1. What is the nearest to f in t, -3, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*q = -21*q + 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 52, 0.1, 2 in descending order.\nAnswer: 52, 4, 2, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -798?\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + -3. Let o = -1.7 - -0.3. Let x = o + 1.2. Which is the biggest value? (a) h (b) x (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -77 + 227\/3. What is the closest to 0.1 in 0.1, -5, p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8869 + 8870.219. What is the third biggest value in -5, -2, 0.1, -1\/9, a?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168 is divided by 45.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 5*s + 27, -4*s - 7 + 27 = 0. Is 26 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 + -25. Let g be 1*(-3 + 4)*-271. Let r = -252 - g. Calculate the highest common divisor of q and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11, -5, -10329, -2\/7561?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 17*j - 10. Let c(v) = v**3 - 10*v**2 + 10*v + 5. Let w be (3\/3)\/((-1)\/(-9)). What is the lowest common multiple of c(w) and u(15)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 16 + 14. Let h be (4\/t)\/(8\/180). Let z = 14 - h. Are 17 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69623 divided by -359.\nAnswer: 69623\/359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 239 = -0*n + 5*r, 0 = 3*n - 3*r + 231. Let l = 135 + n. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11\/10, -2, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18287839, -18287844, -18287849?\nAnswer: -18287854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 12:53 PM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-2 + 5478\/2740) + 0. Let n = b + -2936. Is n\/(-21) + (-8)\/14 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3218, 6433, 9648, 12863?\nAnswer: 16078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8897*3 + (4 - 2). Let w = f - 14993. Round w to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {q: 10, d: 4}.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -916*y - 27*y**2 + 459*y + 4*y**2 + 456*y - 2*y**2 - 102 - 3*y**3 in the form r + l*y**2 + f*y**3 + u*y and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*5*(0 + sqrt(1008)*3).\nAnswer: 540*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 74417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9638 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**2\/3 + 7*b + 20\/3 = 0.\nAnswer: -20, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -29*j**2. Let v(t) = 15*t - 5. Let m(n) = -3*n + 46. Let q be m(17). Let k(y) = 2*y - 1. Let i(l) = q*k(l) + v(l). Calculate c(i(p)).\nAnswer: -725*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -124 in -3\/5, 4, -2\/15, -1\/13?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5650 - -5654. Which is the third biggest value? (a) y (b) 53 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, v: 6}. Give prob of sequence bvbv.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(80)*4 - (0 + (sqrt(10)\/sqrt(2))**2)) + -2 + sqrt(720)*-1 + sqrt(5) + sqrt(15)\/sqrt(3) + 4.\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.02933 + 0.07219. Let o = r - 2.16986. What is o rounded to one dp?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1121?\nAnswer: 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9004 - 9121. Which is smaller: -588\/5 or k?\nAnswer: -588\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4656 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 5*k**2 + 7*k + 6. Let v be n(-6). Suppose v = -3*q - q. Let t be q\/((1 - -1) + 1). Solve t*f - 20 = 4*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 6:57 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 + 110 = 5*p. Let b be (-109060)\/p - 3\/9. Let u = -4681 - b. What is u rounded to the nearest 100?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2975*z**3 - 4*z**2 - 6*z - 4. Let d be u(-2). Suppose -9*n + d = 7*n. What are the prime factors of n?\nAnswer: 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1262346 rounded to 2 decimal places?\nAnswer: -2.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - 32.8. Round j to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*h + 36*h + 52*h - 185*h = 0. Which is the fifth smallest value? (a) -0.2 (b) h (c) -2\/7 (d) 5 (e) 0.209\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 6*n**2. Let a(d) = 147*d**2 + d**3 + 140*d**2 - 286*d**2. What is -4*a(l) + q(l)?\nAnswer: -5*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5372577, 5372548, 5372519, 5372490, 5372461?\nAnswer: 5372432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-10) + (3 - 552\/(-15)). Calculate the highest common factor of 52 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 332803\nAnswer: 1\/332803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - 213.56.\nAnswer: -213.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 f, and 1 y when four letters picked without replacement from {e: 1, k: 1, y: 1, j: 2, f: 1, t: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 k, and 2 y when four letters picked without replacement from kjyylsu?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 2397.5593?\nAnswer: 2392.5593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*7*4\/84.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 109422473182 less than -4?\nAnswer: -109422473186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -5*q**2 + 20*q. Let f(k) = -5*k**2 + 18*k. Give -3*f(y) + 2*l(y).\nAnswer: 5*y**2 - 14*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 3. Let b(m) = -3*m**3 - 7. What is 4*b(n) - 10*v(n)?\nAnswer: -2*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.17003*-608\nAnswer: 103.37824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001111111 + -101?\nAnswer: -10010000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - z**2 + 5. Suppose 2*s + 504 = 2*a, -a - 2*s = -0*s - 237. Let f = -247 + a. What is l(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2 (b) 77\/2416 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/(-55) + (-58)\/40*(-1 + (-9 - -8)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -0.1 (c) 43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 5*a - 190. Determine s(35).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 504 = 4*r, 41*r - 36*r = 3*n - 292. Which is the second biggest value? (a) n (b) -1\/5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60 or -12201?\nAnswer: -12201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (30 - -7) + 5 - (-5)\/5. Let x(g) be the second derivative of g**2 - 1\/6*g**4 + 0 + p*g - 2\/3*g**3. Let d(c) = c**2 + c - 1. Calculate -4*d(j) - x(j).\nAnswer: -2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 4*j - 5*j - 9, w + 3*j - 3 = 0. Suppose -o - 5*r + 0 = -w, 0 = 3*o - 5*r - 9. Suppose 0*m = -3*m + 12. Solve 0 = m*q - o*q - 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 116 = -5*l, 5*u + 176 = 4*l + 60. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - k - 2*v + 40 = 0, 0 = -5*v. Suppose z + 9 = k. Let g be z + ((-2)\/(-23) - 1). Do g and 1\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -718\/1323 + 13\/27. Let i = 89\/147 - x. What is the second biggest value in -3, i, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 3*f - 35 = 0, -352*p + 37 = -348*p - 5*f for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 28*s - 1. Let i(b) = -28*b + 1. Determine 6*i(y) + 7*o(y).\nAnswer: 28*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k + 0*k + 0*k. Let s(o) = -o**2 - 6*o. Let m(l) = l - 3*l + 3*l. Let b(z) = -6*m(z) - s(z). What is v(b(y))?\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 - 26092096*h - 52184208.\nAnswer: 4*(h - 6523026)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 208821.3435 to the nearest 100.\nAnswer: 208800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-140)\/42 + 5\/(-3). List the prime factors of -2 - (1090\/h + 2\/1).\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -67? (a) -2 (b) -1 (c) -6\/5 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 2:37 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 2411431200?\nAnswer: -2411431200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y**3 + 3*y**2 - 3*y**2)*(3*y + y - y) + (67 - 67 - 94*y**2)*(-y**2 + y - y) to q*y**3 + l*y**4 + o*y**2 + j + a*y and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2581503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/3 in 1, -16, -12021?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 0.5, -1037, -187, -1\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of 7*q**6\/6 - q**3\/3 - 3. Find the third derivative of p(n) wrt n.\nAnswer: 420*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - r = r + 30, 30*r = -2*p + 84*r - 57*r - 7 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 169387, 338724, 508061, 677398, 846735, 1016072?\n\"Answer: 169337*v + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1148 + -684. Does 4 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/160 and -149\/12.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/42)\/((-1)\/(-3))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-44)\/(-3) - 2\/3. Suppose -3*k + 2*k - 14 = -5*p, 2*k + p = 5. Let j be (k - -1)*(-5)\/(-2). Solve l + m = 3*l + 2*b, -5 = -3*l + j*b for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/695754 or 0?\nAnswer: -1\/695754","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 - 3*x + 3*x)*(-1346*x + 832*x - 853*x + 2 - 433*x + 0).\nAnswer: -1800*x**4 + 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = 15*u + 23*u + 5858. Which is the nearest to -0.5? (a) 0.2 (b) u (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 - (178 + (56 - 63))?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/214 and 95\/6026806?\nAnswer: 644868242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(16) + (sqrt(16)*2 - sqrt(16))))\/(sqrt(80)\/(sqrt(30)\/sqrt(3))).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 57014685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1441, -5740, -12905, -22936, -35833, -51596, -70225?\nAnswer: -91720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3486\/199 > -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + 11 - 16 - -28) + -12?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + -17.7. What is the second biggest value in -2\/3, 0.2, z?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of i**5\/20 - i**4\/6 + 2*i**3\/3 - 3*i**2\/2 - 3*i. Let y be -2 - 0 - -5 - 1. What is the units digit of o(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-8 - (5 - 6))) + -13.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 + -11. Find the second derivative of b*t + 5*t**4 - 16*t**4 + 11*t**4 - 8*t**5 wrt t.\nAnswer: -160*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-267 + 27)*2*1\/(-4) and 8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.04019 litres in millilitres?\nAnswer: 30040.19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 238 + 458. Suppose 4*h - 5*h = w. What is the lowest common multiple of 2 and h\/(-30) - (-2)\/5?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/27, -2\/7, -0.2, -140?\nAnswer: -140","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of 0*d + 0 + 0*d**3 + 0*d**4 + 6*d**2 + 1\/60*d**5. Let z(o) = -5*o. Calculate z(t(q)).\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) 2\/9 (c) -54 (d) -4 (e) 2\/103\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1400304 divided by -4\nAnswer: 350076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1767 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -17.7?\nAnswer: 7.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1168*h + 1082*h - 3250*h to y + k*h and give k.\nAnswer: -1000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 384\/(-10) - 45756\/(-19065)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44 + 51. What is the biggest value in -3, g, -0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wx when two letters picked without replacement from {x: 2, m: 3, w: 2, e: 6}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*t - 10*t - t - 5*t.\nAnswer: -39*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g + g + 3*g)*(7 - 1 - 3) + (4 - 3 - 3)*(0 + g + 0) to the form i + j*g and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -579 + -1c6e?\nAnswer: -21e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5*q = g - 11, 0 = 5*q + 10. Solve g = -5*z + 32 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 433 = 3*t, 87*d - 88*d - 533 = -4*t. What is the remainder when 938 is divided by t?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26372*h - 618356*h - 157104*h - 168952*h.\nAnswer: -970784*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 11702080796554 and 14.\nAnswer: 11702080796568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 16 = 3*m, 3*m - 17*w - 31 = -224 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8587284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + 3*t + 21. Let q be g(-3). Suppose z = -1 + 2, 4*b - q*z = 285. Is 8 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4) - (sqrt(4) + -1*sqrt(4)*-1))\/sqrt(2)*4.\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/4 - (-8)\/(-16). Suppose r*x = -5*x + 35. Let k(a) = 8*a + 19. What is the remainder when x is divided by k(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 17. Let h(t) = -6*t**2. Let b(y) = -3*y**2. Let d(q) = u*b(q) + 5*h(q). Let o(a) = -4 - 2*a**2 + 3 + 1. Give o(d(z)).\nAnswer: -18*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13261 to the power of 1\/2, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + a - 247 = 0, 395*h = 391*h + 2*a + 326. Solve 61*f = -h - 162 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 35 = -8*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 31 - (3 - ((-68 - -59) + (-3 - -24)))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*z + 21*z + 17*z as p + w*z and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(273\/(-81) + 3)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 24 - 180 = 0. Suppose 0 = -4*y + 8, 3*y - 66 = -3*k + p. What are the prime factors of k?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*o**3 - 72*o**2 - 260*o + 336 = 0. What is o?\nAnswer: -12, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 4:54 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40 + 37. Let i = v - 49. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of u**6 + 2*u**5 - 3202*u**4 - 60082*u**2 wrt u?\nAnswer: 120*u**3 + 120*u**2 - 76848*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 + -33738)*(35\/(-5))\/14 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/6)\/(20\/10)*(-13)\/((-130)\/2120).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/11)\/h)**(-21) assuming h is positive.\nAnswer: h**(273\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 4*r**2 - 6*r - 16. Let l be o(-6). Let d be (-6)\/(-15) + 2 + l\/(-20). Solve d*c = -15 - 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**3 + 13*l**2 + 6*l + 5. Determine q(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 6*k**3 - 24*k**2 + 15*k - 15. Let g(v) = -v**3 + v**2 + v - 4. Let c(m) = a(m) + 5*g(m). What is c(18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*s - s + 612261 = 55*s. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -y**3\/2 - y**2\/2 - 18*y. Let s be p(-1). Suppose -2*i + 6 = 2*z - s, 0 = 4*i. Which is greater: -2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/89 + 164\/623. Let r = -5 + -7. Let t be (-1)\/4 + 261\/r. Which is smaller: t or v?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - v - 4)*(155*v**3 - 52*v**3 + 41*v**3).\nAnswer: -144*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h**2 - 93 + 44 + 9 + 4*h**2 in the form j + v*h + y*h**2 and give j.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1204 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 534898774?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*l**2 + 6*l**2 - 124*l**2 to the form z*l**2 + v + h*l and give z.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, -0.3, -27?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 10*k**2 + 23*k + 7. Calculate c(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -8*70\/(-160)*354?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/1 + 3 + 1 - 2. Put 4, 5, h, 3 in ascending order.\nAnswer: h, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -5*x**2 - 1425*x - 453. Let o(j) = j**2 + 285*j + 89. Let r(k) = 11*o(k) + 2*t(k). Differentiate r(g) with respect to g.\nAnswer: 2*g + 285","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y + 2. Let c(a) = 16*a**2 - a. Let r be c(-1). Let k = 8 - r. Suppose 6*d - 8 = 2*d. Let g(x) = 8*x + 9. Determine d*g(n) + k*w(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 5*z + 14, 8*z + 11 = 5*j + 6*z. Suppose 3 = -49*c + 50*c. Solve 0 = -g - c - j for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1369 or -2544?\nAnswer: -1369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4751500 + -6467055.\nAnswer: -11218555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -11*u**2 - 9*u - 8. Let p(d) = -4*d**2 - 4*d - 3. What is 5*p(b) - 2*r(b)?\nAnswer: 2*b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(15\/69) + (-21)\/35. Let m(r) be the third derivative of 0 + 1\/9*r**3 - r**2 - 1\/360*r**6 + 0*r**5 + 1\/24*r**s + 0*r. Find x, given that m(x) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1252 and -38.\nAnswer: -4.7576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4138082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-2 - -2 - 6) + (61 - 56).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 318 - 154. Suppose -5*i + u = -56. Is 16 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 740 and 4076820.\nAnswer: 150842340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v**2 - 5*v**2 + 0*v**2)*(9*v - 14*v + 9*v)*((-3 + 0 + 5)*(1 - 1 + 1) + 3 + 3 - 4 - 2 + 2 - 2) as n*v**3 + x + w*v + d*v**2 and give n.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2. Let h(i) = 1. Let s(w) = -w - 1. Let y(b) = -5*h(b) - s(b). Let f(n) = -5*x(n) - 2*y(n). What is the derivative of f(j) wrt j?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2356*q**2*s**3 + q**2*s**2 + 24*q**2*s - 2*q*s**4 - 8*q*s**2 wrt s.\nAnswer: -14136*q**2 - 48*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -217*j = 10*j + 8029 - 22330. Calculate the remainder when j is divided by 62.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(720)*-2.\nAnswer: -24*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7069267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 3 + 34 + n**3 as d*n**2 + w*n**3 + l*n + f and give f.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31050096 and 330.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -22. Let b be (y\/45)\/((-6)\/27). Suppose -5*g + b = -28. Solve w - g*w = -25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15454.\nAnswer: 2, 7727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 532 = 196040*q - 196054*q for q.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3680 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/9 + (-15270)\/(-4752). Let w = j - 2\/33. What is the common denominator of 49\/6 and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -3*w + 2*b, 101 = -14*w + 10*w + 9*b for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - k)*(0*k + 3*k + 0*k) + (-74 + 74 + 18*k)*(0 + 1 + 0)*(5*k + 0*k - 3*k).\nAnswer: 33*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-13 + 4) + 1\/5*40\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + m)*(-1 + 2 + 2)*(4*m**2 - 4*m**2 + 4*m**3).\nAnswer: 12*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2809, 2773, 2739, 2707?\n\"Answer: h**2 - 39*h + 2847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 276264625 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**2 + 119*i + 32*i - 151*i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1156248 to the power of 1\/2, to the nearest integer?\nAnswer: 1075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + x - 6. Let p be 32\/12*(-3)\/(-2). Suppose 2*m - m = -4*i + 2, i = 2*m - p. What is h(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xz when two letters picked without replacement from xwddzwzdzgwwztz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*g**2*p**2 + 217206713*g**2 + 47764104*g*p wrt p.\nAnswer: -8*g**2*p + 47764104*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3415 is divided by 496?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*q = 3*q + 4, 0 = -2*i + 4*q - 20. Sort 4, -24, i in decreasing order.\nAnswer: 4, i, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 192381806?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/23556 and -31\/1142466.\nAnswer: 2284932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a + 30. Let s be r(-11). Let f be (-362)\/(-3) + (-1)\/s. Let t = 251 - f. Round t to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.007 (b) 3.73 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 15 = 3*g. Suppose g*v - 11 - 9 = 0. Suppose -v*o - o + 15 = 0. Sort 5, -3, o in increasing order.\nAnswer: -3, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 4*x + 68. Let v be i(0). Calculate the greatest common factor of 16 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 10:58 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r**2 - 3*r - 1. Let w(z) = -2*z**3 - 3*z**2 + 4*z + 2. Let f(u) = 3*c(u) + 4*w(u). Let g(v) = v**3 - v - 1. Calculate f(x) + 6*g(x).\nAnswer: -2*x**3 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 616464211?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 - 1 = d - 4*w, d + 3*w - 1 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -10 - (-8 + 22)) + 14 - 56\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 70*x + 690. Let t(d) = d**3 + 8*d**2 + 14*d + 3. Calculate the lowest common multiple of g(-10) and t(-3).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -5826 and 23\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 266 = 4*f + 33*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b + 8. Let x = -261 - -254. Let j be q(x). Solve 2*f - j = f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -936*a = -943*a + 4543. What is the highest common factor of a and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -975 = 49*f + 601 - 400 for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6065.93*1.7\nAnswer: -10312.081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -1. Suppose -5 - 1 = -u*y. Suppose 2\/7*b + 6\/7*b**4 + 0 + 2\/7*b**2 - 10\/7*b**y = 0. Calculate b.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1528761 and 195.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 6*v**2 - 5\/2*v**3 + 3\/8*v**4 - 6*v - 14. Factor l(n).\nAnswer: 3*(n - 2)**2*(n - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 115*(32\/80)\/(6\/15). Solve 8*p + 861 = -d*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4*r - 4 = -2, -5*n - 26 = r. What is the closest to n in -1\/3, 5, -0.2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4214 (base 6) to base 8.\nAnswer: 1662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 710 and 12912060?\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -0*y - 292. Suppose 3 = 3*f, -f = -4*d - 2*f + y. Solve -2*x = 3*q - d, -4*q + x - 2*x = -19 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11270 and 140?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2507123 - 1722324. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 19.42539 years?\nAnswer: 0.01942539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a week in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkiy when four letters picked without replacement from {i: 1, k: 2, y: 7}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/7 + 362*u**2\/7 - 718*u\/7 + 358\/7.\nAnswer: -2*(u - 179)*(u - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 22816900 divided by 5704225?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 greater than or equal to 1901\/46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -662.655509 to the nearest integer.\nAnswer: -663","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -8. Let l be (4\/6)\/(q\/(-24)). Suppose -3*f - 31 = -2*v, -v + 4*v + 4*f = 4. Solve v*s - l*s = 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2380*w - 924. Does 12 divide v(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -635*o + 4. Let b(k) = 629*k - 5. Calculate -3*b(c) - 4*m(c).\nAnswer: 653*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*p - 24 = 102*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 799, 798, 797, 796?\nAnswer: 795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -y**7\/105 - y**5\/30 + y**2 + 2. Let h(d) be the second derivative of n(d). Find the third derivative of h(b) wrt b.\nAnswer: -48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 512*m*o**2*y**3 - 74*m*o*y**3 - 27346*m*o*y**2 - o**2 wrt y?\nAnswer: 3072*m*o**2 - 444*m*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 4*k - 12 = 0, k = -p - 3 + 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.82 + -5.82. Sort k, 4, -4 in descending order.\nAnswer: 4, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 3*k + 43. What is t(9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/8 of a week?\nAnswer: 8820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -6*l**2 + l**3 - 2*l + l**3 + 7*l**2 - l**3 + 9. List the prime factors of i(6).\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/461034 and -71\/74214.\nAnswer: 271549026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 272 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from inffbcbbbc. Give prob of picking 1 n, 1 f, and 2 c.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2)**(1\/15)*((j*(j\/j**(-1))\/j)\/j)**5 assuming j is positive.\nAnswer: j**(77\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86 divided by 26.\nAnswer: -43\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 b when three letters picked without replacement from bbbdbbbbdbbd?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.9 - -1.7. Let r = s + -0.6. Is r not equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*w = -2*i + 45*w - 5, -5*i + 7*w = -2*w - 14 - 8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 5*o**4 - 9*o**3\/2 - 3*o**2\/2 + o = 0?\nAnswer: -1\/2, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 19*g**2 - 135*g - 8. Determine r(7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i. Let l(o) = -6*o - 11. Determine l(r(c)).\nAnswer: 18*c - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5800930 to the power of 1\/2, to the nearest integer?\nAnswer: 2409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17248*p*s**5 - 9*p*s**2 + 279*p*s + 492*p - 3*s wrt s?\nAnswer: 344960*p*s**3 - 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 11:22 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1067 is divided by 352?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 10*j**2 + 10*j + 9. Let v be n(-9). Suppose -f + 171 = -4*b, -2*b + 5*b - 4*f + 112 = v. What is the tens digit of (-3 - b\/8)*366\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44138*d**2 - 88243*d**2 + 44132*d**2.\nAnswer: 27*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -6. Suppose p = -z, -z + 25 = 2*d - 14. Suppose d = 5*u - 29. Solve 0 = 3*t - 8*t + u for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + q + 8 = -3*q, -2 = -15*m + 99*q - 98*q for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 0*g + 4*w - 5, -4*g = -2*w - 14. Suppose 5*f = u + 23, 10 - 31 = -3*f - g*u. Find the second derivative of -4*i + 3 - i**3 + f*i - 3 wrt i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 933707 minus -0.025?\nAnswer: 933707.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -590481770 rounded to the nearest one hundred thousand?\nAnswer: -590500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -8*y - 7. Let i be l(-3). Let c(h) = 17 - h - i. Let u(j) = -j**2. Give c(u(q)).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 74?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 32*s**2 + 94*s - 84. Let l be v(-35). Let w = -296 + l. Solve -q = 5*f + 28, 4*q + 2 = 7*f - w*f for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**6*x**(-1\/5)*(x*x**(1\/6)\/x)**(-8\/5) assuming x is positive.\nAnswer: x**(83\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 269? (a) 3 (b) 736.98 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2394 and 1516732?\nAnswer: 13650588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 2*o - 23 = 0, -6*w = 151*o - 156*o - 75 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 532, 903, 1274?\nAnswer: 1645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*w**3 - w**2 - 10*w**2 + 13*w**2)*(0 - 2 + 3)*(w - w - w).\nAnswer: -8*w**4 - 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 154660209 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.3, 0.1054049 in descending order.\nAnswer: 0.1054049, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**3 - 2*y**2 - y. Let v be t(-1). Let j be -4 + (-200)\/(-35) - (-4)\/14. Is j bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-42)*((-2 - 4) + (-2700)\/(-445)).\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 2*u**2 - 2*u - 1. Suppose -36*l - 749 = -108*l - 29. Calculate the remainder when l is divided by s(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16644831*t**2 + 16644831*t**2 + 3*t**3.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from pspup.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.8 + -2.5. Let k = 49\/80 - -3\/16. Sort f, k, -4, 1 in ascending order.\nAnswer: -4, f, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (95 - 18 - 90) + -44?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98 and 4765544.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2 + 43360*l**2 + 0 - 43386*l**2. Let z(m) = -9*m. What is z(y(r))?\nAnswer: 234*r**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0\/m**(-4))\/(m*m**(-8\/3)*m**(-1\/3))*(m*((m*m\/(m**2*m))\/m)\/m)**32*((m\/(m*m**0\/m))\/m)**(2\/3) assuming m is positive.\nAnswer: m**(-58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 450*l = 591*l - 59784. What are the prime factors of l?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/2 and (-15)\/40*228\/21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 10:00 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*h - 56 = 0, 0*o - 4*h = 5*o - 68. Let c = 211 + -103. Calculate the highest common factor of c and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 13*a**2 - 12*a - 21. Let f be g(14). Let q be 4\/(f\/(42\/8)). Find the second derivative of 3*n - 2*n + 21*n**5 - 10*n - q*n wrt n.\nAnswer: 420*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 + -12. Let h = b - 13.1. What is the smallest value in -0.2, h, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -13 - (4 + 0)) + -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 1994 = -3*i + 222*t, -2*i - 25*t = -21*t - 40 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.06578, -34 in ascending order.\nAnswer: -34, -0.06578, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98) + -1 + -2*sqrt(98).\nAnswer: -7*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 198800 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**29\/(l*l*(l\/l**(-17))\/l*l))\/(l**14\/((l\/l**(21\/2))\/l*l)) assuming l is positive.\nAnswer: l**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 8*t**2 + 36*t + 103. Let a be k(-3). What is the greatest common factor of 402 and a?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1467728?\nAnswer: 2, 91733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 185668 and 98.\nAnswer: 1299676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and 120?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, m: 4, o: 3, y: 5}. What is prob of sequence ty?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 180 + -111. What is the remainder when i - (-5)\/((-20)\/12) is divided by (-68)\/(-16)*40\/10?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389565 is divided by 109?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 144731844?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -48636995?\nAnswer: -48636995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m + 40 = 18*m. Sort -4, 2, 0, m in descending order.\nAnswer: m, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217068 divided by 108534?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 57*b + 33*b + 42*b in the form s*b + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 8:20 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -2*x**3\/3 + x**2\/2 + 4*x + 1. Let u(o) = o**3 - 20*o**2 - 22*o + 18. Let d be u(21). What is n(d)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(2058)*-1)\/(sqrt(6)*1*-2 - (sqrt(600)*2 + sqrt(6))) + 1.\nAnswer: -28*sqrt(7)\/23 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56*y - 222 - 51*y + 224 to the form j + u*y and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41820?\nAnswer: 2, 3, 5, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of 2*b**5\/15 - 8*b**2. Let p(y) = 2*y**2. Give p(t(l)).\nAnswer: 128*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.035 - -0.065. Let y = 5 - 4. Sort z, -0.5, y in descending order.\nAnswer: y, z, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 204 (base 5) to base 15.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - (2 + -2 + 2 + -7). Let i(r) = r**3 - 2*r**2 + 5*r - 6. Determine i(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221*b + 103*b = -72*b. Suppose b - 2\/7*r**2 + 16\/7*r = 0. What is r?\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (460\/414)\/((-16)\/36) + (-11)\/(-2). Let t(l) = 26*l**2 - 3*l - 3. Let r(u) = -25*u**2 + 4*u + 4. Determine h*r(n) + 4*t(n).\nAnswer: 29*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-3 - (8 - 5)) + (3 - -8) - 53?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 6. Which is the closest to -2? (a) 1\/2 (b) d (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 4*r - 2 = 0, 3*r - 11 = -4*k - 2. Let v(f) be the third derivative of f**6\/120 - 7*f**5\/60 + f**4\/6 + 4*f**3\/3 + 5*f**2. Calculate v(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9661.9997875 + -9662. Round b to 5 dps.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, z: 1, y: 11, f: 2}. Give prob of sequence yzf.\nAnswer: 11\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a milligram in micrograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/8 + (-7 - 450\/(-48)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -126095 divided by -25219?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -911, 4, -9 in descending order.\nAnswer: 5, 4, -9, -911","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*f**2 - 218*f**2 - 12*f**2.\nAnswer: -178*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + c = 7 + 9, -7 = -3*v - 2*c. Suppose 4*f = -0*f + 16. Suppose v*q - 4*n = 48, n - f*n = 6. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47 and 6440410?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 1, 0.5, -6037, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 4*q + 15. Let s = 76 + -76. Let g be t(s). Solve -4*n + g = n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - (sqrt(78) + (sqrt(78) - -2*sqrt(78) - sqrt(78))*-2))\/((-1*sqrt(72))\/sqrt(12)))**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x + 5. Let v be l(-9). Suppose 3*o - 5*i = 9, 0*o = o + 4*i + v. Is (-46)\/(6\/(o - 1)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of y**6\/120 - y**5\/30 + y**4\/6 + y**3\/6 + 3*y**2. Is 11 a factor of b(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.2 - 20.8. What is j rounded to 0 dps?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x - 2. Let b be t(0). Let g(v) = 2952*v**2 - 3*v - 2. Let q be g(b). Let h = 55812 - q. What is h rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25859.2 rounded to the nearest one thousand?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -102 - -34. Calculate the least common multiple of 4\/34 + (-6588)\/g and 10.\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1099 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m**(2\/3)\/m)))**(2\/145) assuming m is positive.\nAnswer: m**(-2\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15540\/1100*(-15)\/(-2) - (172\/88 + -2)?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 2\/3 (b) -2 (c) 4\/5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1032113 (base 4) in base 3?\nAnswer: 20212202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**2. Suppose 8*t + 117 = 13*t - 4*p, -3*t + 65 = -5*p. Let m(r) be the second derivative of 0*r**2 + 0 - t*r + 1\/2*r**3. Give m(o(b)).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54578791.\nAnswer: 5693, 9587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131 + 331 = 37*p - 268*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261 - 239 = 5*b. Round b to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y. Let s be n(-1). Let f(c) be the first derivative of 23*c**3\/3 - c**2\/2 - 1. Is f(s) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2841072 is divided by 489?\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(504\/7) + 2 + 143\/9. Solve 10*q - 48 = h*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*10\/(-15))\/(-8).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of d**7\/840 - d**6\/120 + d**3\/3 - d**2. Let r(m) be the first derivative of k(m). What is the third derivative of r(o) wrt o?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 198326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13368\/47 or 283?\nAnswer: 13368\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, -12768, -3, -21.8?\nAnswer: -12768","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 376573111?\nAnswer: 12547, 30013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 79 + -74. Suppose 2*n + x - 3 = 8, i*n - 8 = 4*x. Suppose -j - 2 = -n. Solve j*f - 3*z + 18 = 3*f, -4*f = -4*z + 8 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1, 6\/37, -0.2.\nAnswer: -0.2, 6\/37, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 20, 26, 34, 44?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -5984981737966125*r**2 + 691952700*r - 20 = 0?\nAnswer: 2\/34597635","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*w**4 - 679270*w**2 + 7255650 with respect to w.\nAnswer: 16*w**3 - 1358540*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 69662.4511 to the nearest ten.\nAnswer: 69660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -15*a**3 + 2*a**2 + 5*a + 4. Let w be b(-2). Let t = -128 + w. What are the prime factors of 137*30\/18 + (-4)\/t?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u + 573511 = -u + 30089. What is u rounded to the nearest one thousand?\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -233 - -287. Does 2 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of 3*m**5\/80 - 159*m**4\/4 + 16854*m**3 - 3573048*m**2 + 62*m + 3. Factor o(p).\nAnswer: 3*(p - 212)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/32288947 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 y when three letters picked without replacement from {m: 6, y: 12}.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 10. Let v be 401\/l + (-1)\/3. Let u = 672\/5 + v. Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y + 5. What is l(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 113. Let k = f + -36. Let o(u) = u**3 + 14*u**2 - 16*u. Calculate the remainder when k is divided by o(-15).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 132 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g - 1 = 49 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*a - 11*a - 1600 = 0. Let z = -58 + a. Calculate the remainder when z is divided by 54.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -15 + 4*z - 3*z + 32. Let m be p(6). Calculate the highest common divisor of m and 253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q - 1. Suppose -255*t - 3204 = -249*t. Let n = t + 538. Suppose 0*v = v - z - 4, -2*v - z = 1. Let w(a) = 2*a + 6. What is n*p(u) + v*w(u)?\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nqv when three letters picked without replacement from {w: 4, t: 8, n: 2, q: 2, v: 4}.\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 775479709 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 + 168 = -30*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 118, 817, 2708, 6385, 12442, 21473, 34072?\nAnswer: 50833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/16, -1, 28, -0.3, 2 in ascending order.\nAnswer: -1, -0.3, -1\/16, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*n + 229 - 21. Suppose 0 = 2*z - 24 + n. Let u be (-1)\/(-1)*(-2)\/(-1). Solve -3*q - 1 = -z*q - o, -q - 2*o + u = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 548.265720848 + -0.265939848. Let l = 548 - j. Round l to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8523 + 8523 - 2763*y**3.\nAnswer: -2763*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -522b3?\nAnswer: -522b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, a: 2, y: 2, k: 2}. What is prob of picking 1 y and 1 k?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 6*m = -2*y + 8, 34 = 5*y + m. Let s be (-393043)\/(-15) - 3 - y\/(-45). Round s to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 547?\nAnswer: -544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5106 - -5161. Solve -w*q + 12 = -61*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 27*d**3 - 323*d**2 - 3*d + 465324?\nAnswer: 81*d**2 - 646*d - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3\/3 - 146804*r**2\/3 + 1437512780*r\/3 - 1632682980412\/3.\nAnswer: 4*(r - 17699)**2*(r - 1303)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/7 + 45\/(-35) - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -17e6?\nAnswer: -17eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 20 = 5*l, 4*l + 3*d = 2*d + 21 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12672 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -33*l**2 - 336*l - 63. Determine f(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 1054527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -246*r - 32*r - 266*r - 103*r + 57*r in the form u*r + f and give u.\nAnswer: -590","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*6\/72*-3. What is the fourth smallest value in k, -3, 0.5, -1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 7:06 AM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or -217\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 6*l**2 + 8*l + 10. Let z(u) = 13*u**2 + 16*u + 21. Let f(r) = 9*o(r) - 4*z(r). Let g be f(-6). Suppose 2*w - 174 + g = 0. Is w a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 + 31 = 38*b + 8 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 201 - 195. Put -3, o, -5 in increasing order.\nAnswer: -5, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + -1 + 64*1. Let b = 40 - g. Round b to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4295, -4139, -3983, -3827, -3671?\n\"Answer: 156*l - 4451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 6 = -4*r, 8*r - 4*r = 3*c - 2. Let a(f) = f**2 + f - f + c*f**2. Let i(p) = 2*p. Give i(a(s)).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3168)\/240*(3 - (8 + 0)) is divided by 20?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1086385 to the power of 1\/2, to the nearest integer?\nAnswer: 1042","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 4:20 AM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -502 + 500. What is the closest to 1 in -2\/7, v, 58, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n. Let i(s) be the third derivative of -3*s**4\/8 + s**3\/6 - 18*s**2 + 23. What is i(g) - 5*q(g)?\nAnswer: -4*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(-2)\/(((-135)\/(-54))\/(10\/(-8)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -8091 less than or equal to -8090?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7}. Give prob of picking 2 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2902342, 5804683, 8707024, 11609365, 14511706, 17414047?\nAnswer: 20316388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h - 2*h - 4*h)*(-h - 22 + 7*h - 7*h) + 6*h**2 - 4*h**2 - h**2.\nAnswer: 3*h**2 + 44*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.26 - 0.07. Let y = x - -0.32999702. What is y rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*q - 2. Let u(k) = -k**2 - 51*k - 172. Let x be u(-46). Put q, -3, x in ascending order.\nAnswer: -3, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150225 = p - 150256 for p.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 + 31545*y**2 - 283320*y - 1134000.\nAnswer: -5*(y - 6300)*(y - 12)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = 6*o + 11*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8413?\nAnswer: 47, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*n - 760 - 408 = 0, 5*m = -n + 1171. Suppose j - 7*j = m. Let o = 14 - j. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - o**2 + 8*o**2 + 5*o**2 - 10*o**2 to z + v*o**2 + m*o and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.543 - -21.357. Let t = b - 22.3. Let a = -3 - -3.04. Sort 3, 0, t, a.\nAnswer: t, 0, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -g**2\/2 - 19*g - 1369. Give k(0).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1305 - 0.1732. Round j to 3 decimal places.\nAnswer: -0.043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (275\/(-990) - (-5)\/30)*(-3)\/8?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2523049 or -2523006?\nAnswer: -2523006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 3*u**3 + u + 0*u - 10 + u**4 as g*u**3 + b*u**4 + n*u**2 + s + w*u and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1098017347.\nAnswer: 7, 156859621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2 (b) -1 (c) 17\/7 (d) -45 (e) 0.4 (f) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-30) + (-530)\/(-600)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -21551*p + 301612. What is j(14)?\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18452 - 172739 = 93*c. Does c = -1659?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 446.643 and -4.\nAnswer: 442.643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.303 - 0.3153. What is l rounded to three dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-24) + (-1177)\/(-132). Calculate the highest common factor of 29691 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 14 (b) 19 (c) -2579 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -33 in -0.1, -2\/19, 5\/186, -3, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of 0*s**3 + 0 - 3*s**2 - 1\/2*s**4 + 0*s. Let d be p(-2). Calculate the greatest common divisor of d and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of u**4\/6 - u**3\/3 - u**2 - 6*u. Let t be h(-1). Suppose -8 = -t*g + 8. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -8*d - 4. Let u be v(-6). Let w = u + 36. Suppose 0 = 2*f - 6 - 14. What is the greatest common divisor of f and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-86)\/10*-1*5. Let l = q + -78. Let f be (-21)\/l*(-20)\/(-18). Which is the closest to f? (a) 3 (b) -2\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**13\/((x*(x*((x**(-1\/2)\/x)\/x)\/x)\/x*x)\/x) assuming x is positive.\nAnswer: x**(31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k - 1. Let f be b(-8). Suppose -d = l + l - f, -5*d + 3*l = -61. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*x - 51 = -0*f, f = 4*x + 23. Let l = 992 + -981. Calculate the lowest common multiple of l and f.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tabvlevat. What is prob of picking 2 t?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-9))\/((-8)\/(-12)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396)*1 - sqrt(396))*-5 + 0 + sqrt(396) + -1 + sqrt(396))**2*2.\nAnswer: -48*sqrt(11) + 3170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 385 and 344785?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 2a293?\nAnswer: -2a291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 2\/13, 1\/27, 15?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + (sqrt(1617)*1*2)\/(-1*sqrt(9)\/(sqrt(6)\/sqrt(2)))).\nAnswer: -14*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -126 (base 12) in base 16?\nAnswer: -ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/1329? (a) -2\/13 (b) -29 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1846 = 7*v + 1860 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 233034 + -233032. What is v in -32\/11*v - 50\/11*v**w - 8\/11 - 38\/11*v**3 - 14\/11*v**4 - 2\/11*v**5 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 81 + -77. Let s(n) = 15*n - 28. Does 3 divide s(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4 - -0.2. Let f = -453 - -443. Is x at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kmmmrmmmkkmkmmmmmmkm. What is prob of picking 4 k?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.68865 rounded to 3 dps?\nAnswer: -0.689","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7400, 58721, 198016, 469271, 916472, 1583605, 2514656?\n\"Answer: 7331*z**3 + z**2 + z + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -0.1 (b) 4\/3 (c) -1 (d) 168\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-3)*46\/161*(-3)\/2\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 13 = 2*t, -2 - 21 = -3*t - 5*i. Is t a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3340 and 12692.\nAnswer: 63460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11.01850772 - 124.01851882. Let d = b - -113. What is d rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-7)\/(-21))\/((-4)\/3). Suppose 0 = -4*o - 3*s - 28, 20 = -5*s - 0*s. Let r be (1\/(-7))\/((-2)\/o). Which is the closest to r? (a) t (b) 1\/3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**3 + 0*k**3 - 3*k**3)*(49 - 6*k + 36 - 16 + 147).\nAnswer: 6*k**4 - 216*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1201628647 take away 2364.3?\nAnswer: -2364.1798371353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 218509640?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22a96 (base 15) to base 12.\nAnswer: -53a73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -340ae (base 16) in base 12?\nAnswer: -a343a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -111 + 306. Is s a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 347226291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1013515 (base 7) to base 4.\nAnswer: 131213320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.22 + 1.18. Are s and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 6002672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 9:26 AM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (-37 - 2 - (-108 + 61 + 45))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 353245 and 172000?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11110101110010101010100 (base 2) to base 10.\nAnswer: 8054100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*g - 12*g. Suppose 0 = x + p, g = -x + 2*p - 7*p + 12. Let a be x\/4 + (-83)\/(-4). Solve -5*k = -f - a, -8*f + 25 = -4*f + k for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 74 - -1?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1132429 is divided by 813.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - -9. What is the second derivative of 0 + 1 - 1 + d*x**4 + 16*x wrt x?\nAnswer: 144*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9\/(-24))\/((-3)\/24). Let n be 1*(12\/u + 1). Solve 0 = -s - n for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -205 - 1512?\nAnswer: -2121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*((-45)\/6 - 14*(-2)\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1702 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12998 is divided by 1712?\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 7*o + 2*o - 25, -2*o = 10. Solve -5*j - 11 - 14 = w for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -539*u**3 + 4*u**2 + 19*u + 11. Let b(d) = -1078*d**3 + 9*d**2 + 43*d + 25. What is 4*b(j) - 9*g(j)?\nAnswer: 539*j**3 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 50*b**2 - 6*b**3 + 3*b**3 - 43*b**2 in the form s + m*b + d*b**2 + a*b**3 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (1 + 35 + 21 + -34).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + 0. Suppose -2*h = -2*o + 6, c*o - 2*h = -6*h - 12. Let i = -1\/8 - -5\/8. What is the nearest to i in -0.5, o, -0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r + 0*r**3 - r**3 + 3*r**3.\nAnswer: 2*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2068 - 2072. Put -2, 1, -5, -6, b in increasing order.\nAnswer: -6, -5, b, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 4*m**2 - 2*m + 2. Let k be y(-6). What is the highest common factor of 51 and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millennium in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4752 and 155628.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3784, -7539, -11288, -15031, -18768, -22499?\nAnswer: -26224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 1143*c + 2331. Determine n(-2).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 1. Let m(l) = -l + 1. Let d be m(-3). What is the nearest to f in d, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1385 is divided by 798.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 454624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 - (-162 - -166) - (0 + -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11154 at least -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/16 and -97\/1070.\nAnswer: 8560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -100939385 by 17509.\nAnswer: -5765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + r = -4*l + 4, -2*r + 1 = l. Solve r = -9*g + 5*g - 28 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 29896 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -145 or -148?\nAnswer: -148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -552 - 638 = -102*q + 32*q for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 2*q)*(3 - 3 + 1) + 1 - 1 - q + (2 - 2 + 2)*(q + 2*q - 2*q) - 4*q + 4*q + 5*q to the form l*q + r and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1894636399.\nAnswer: 367, 5162497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-20)\/(-6) + (-2)\/6. Let r(b) = 2*b**2 - 2 - 17*b**3 - 4*b**2 + 7*b**3 + 11*b**3. Let h(m) = -3*m**3 + 6*m**2 + 6. Give v*h(q) + 8*r(q).\nAnswer: -q**3 + 2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6736 + 3156 - 3533*i**4 + 2885 with respect to i.\nAnswer: -14132*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 8 - (221 - 193)) + -13\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1723 - 1022. Is w a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/3042 and -31\/2?\nAnswer: 3042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 726380 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u. Let g(i) = -4*i**2 + 5*i. Let o(c) = 10*c**2 - 12*c. Let s(l) = -12*g(l) - 5*o(l). What is s(y(m))?\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1184 and 448.\nAnswer: 16576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 15) to base 14\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.051 and 6636.\nAnswer: 6636.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 4 - (1 - -8 - (261 - 213))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 19*a - 7. Let b be c(1). Suppose -6*s = 6*s - b. Solve 2*h + s + 9 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from izisdsfffziifii. What is prob of picking 1 i, 1 z, and 1 f?\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5*c**3 + 23*c**2 - 8*c - 30. Let b(x) = -17*x - 48*x**2 - 10*x**3 - 20 + 95*x**2 - 40. Let a(q) = 3*b(q) - 7*o(q). Let a(m) = 0. Calculate m.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.13 - -4.17. Let b = u + -2.3. Let z = -1.93 + 1.73. What is the third biggest value in b, z, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, f: 11}. Give prob of picking 3 y and 1 f.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-21)\/(-6)*24\/21. Suppose 67*y = 63*y - 5*j + 25, 3*y - 13 = 2*j. Solve -y*o = -6*o + s for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/11 (b) 0.5 (c) 76\/7 (d) -0.4 (e) -16\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 447 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = 15*r - 345. Solve r*o + 22 - 13 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 17*n**2 + 13*n - 13. Let y be w(17). Let k = -189 + y. Calculate the highest common factor of 19 and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -l**8\/30240 - l**7\/1890 - l**6\/360 + l**5\/60 + 5*l**4\/4 + 58*l**2. Let y(o) be the third derivative of d(o). Solve y(b) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 22 + (-22 - -17) + (4 - 11)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/69525 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -105*m**5 + 27*m**6 - 33*m**6 - 2824*m**2 - 561*m**2 wrt m.\nAnswer: -720*m**3 - 6300*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 686.\nAnswer: 2744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -293949476, -293949473, -293949470, -293949467, -293949464?\n\"Answer: 3*p - 293949479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-55)\/(-4) - (-3 + (-33)\/(-12)). Let u(s) = -6*s - 9*s + p*s. Let f be u(3). Sort -1, f, 1 in decreasing order.\nAnswer: 1, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 11:32 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**0)\/o**(-4))**(18\/7)*((o\/o**(-1\/6))\/(o*o*o**(-1\/3)))\/(o*o**(-5)*o**(1\/10)\/o) assuming o is positive.\nAnswer: o**(604\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, -3\/5, 4\/7, -2, -4.7?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 173?\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3 = 7. Suppose y*v - 2*u = 42, 2*u - 76 - 32 = -4*v. Is v even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -2\/23, 2\/7, 0.132.\nAnswer: -7, -2\/23, 0.132, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -466, -6 in ascending order.\nAnswer: -466, -6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-80)\/(-108) - 24\/36) + (-3639)\/(-81) + 4\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4547 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: Calculate the remainder when 182 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 27*w - 1. Let r be x(1). Suppose 0*u + u - r = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 a, 1 m, and 1 x when four letters picked without replacement from {x: 2, m: 1, z: 1, g: 1, w: 3, a: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -8*q. Let f be d(1). Let k be (-7)\/(140\/f)*10. Suppose 0 = -7*r + k*r + 3*h + 9, 0 = -3*r - 4*h - 5. Put 2, r, 4 in descending order.\nAnswer: 4, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.06722251 at most -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*l + 24*l = 8. Let y be ((-1)\/10)\/(l\/56). Find s such that 52\/5*s**4 - 4\/5 + 2\/5*s - 68\/5*s**3 + 32\/5*s**2 - y*s**5 = 0.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62666 (base 8) in base 12?\nAnswer: -1309a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 29d8?\nAnswer: -29d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 37 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 3*j + 34 = 0, -2*j - 3 = -919*m + 923*m + 25 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**5\/3 + 22*y**4\/3 - 50*y**3 + 328*y**2\/3 - 289*y\/3 + 30 = 0. What is y?\nAnswer: 1, 9, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 3*c + 23*c**2 + 72*c**2 + 72*c**2.\nAnswer: 167*c**2 + 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -13 and 255.72.\nAnswer: 242.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -319.9339947 - -319.824. Let d = -0.91 + 0.8. Let r = d - a. What is r rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i - 537 = 199. Suppose i*b - 407371 = -26169. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 428 and 321.\nAnswer: 1284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4803*a = -11255 + 25342 + 19534 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -752 - -823 - (1 + 3 + -5 + 9 - -2)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*1363.\nAnswer: -9541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -655 = -5*f - 3*o, 77*o + 379 = 3*f + 76*o. Solve 13*y + f = 37 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7426 + -7392 - (0 - 55)?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -2643.\nAnswer: -2\/2643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*l - 14 + 36 = 0, 3*l = 15. Let u(q) = -q**3. Let t be u(0). Suppose 4*a - 21 - 11 = t. Solve a = -z*d + 5*b - 2*b, 0 = d + 4*b + 21 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -620*w - 15. Let i(r) = r - 3. Calculate 6*i(u) - l(u).\nAnswer: 626*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*w**2 - 4*w**2 + 12*w**2 + 9*w**2)*(0*w + 0*w - w**3).\nAnswer: 26*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of 74571*w - 74571*w + 115 + w**3. Let u(h) = -8*h**2 + 12. Let t(b) = -b**2 + 1. Let n(y) = 12*t(y) - u(y). What is n(q(d))?\nAnswer: -36*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1528892?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*n**3*u**2 - 71*n**3 + 181*n**2*u**2 wrt u?\nAnswer: 4*n**3*u + 362*n**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -18*a**2 - 7*a**2 + 30*a**2 - 6*a**2. Let k(j) = 3052*j. Calculate k(w(c)).\nAnswer: -3052*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68040 = 1416*r + 528*r for r.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 30. Let r = -0.55 + -12.81. Let q = r + v. What is q rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 6*((sqrt(68) + -1)**2 - (-1 + sqrt(85)\/sqrt(5))).\nAnswer: -30*sqrt(17) + 416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(280)*-2)\/sqrt(8) - (sqrt(35) - (sqrt(140) + 3*sqrt(140))\/sqrt(4)))\/((sqrt(220)\/sqrt(4)*6)\/(sqrt(528)\/sqrt(3))).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -122 + 124. Suppose u*a + 126 + 608 = 3*k, -3*k - a = -731. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.61014 to the nearest integer.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**5 + 9*p**4 + 3408*p**3 + 40356*p**2 + 36960*p = 0. What is p?\nAnswer: -22, -14, -1, 0, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 186603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 824 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {x: 9, i: 2, j: 3, p: 3}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 6427?\nAnswer: -6432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -224 + 222. Which is the third biggest value? (a) 0 (b) n (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3276151 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -52 - -74. What is the remainder when m is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 160 and 610?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/162945 and 19\/4037415.\nAnswer: 36336735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 6:39 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) - (sqrt(1584) + 0))**2 + (sqrt(1331)*1 + sqrt(1331))**2.\nAnswer: 5324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2.1, -0.3, -1\/6, 1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**5 - 2362*z**4\/5 + 36642*z**3\/5 - 127502*z**2\/5 - 121328*z\/5 + 795168\/5 = 0. Calculate z.\nAnswer: -251, -11\/5, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29325 is divided by 29247?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16\/115 or -1?\nAnswer: 16\/115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -691*b**2 - 6881*b + 38. Give c(-10).\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 114*v**2 - 231*v - 13344. Calculate t(-115).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -97 - -210. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 9*y - 3. Suppose 66*o + 4 = 68*o. Suppose -4*r + 118 = -k + 102, -2*k + 2*r - o = 0. Let q(s) = -5*s + 2. Give k*d(c) + 7*q(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2843, 2740, 2543, 2252?\n\"Answer: -47*f**2 + 38*f + 2852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -8*v**2 + 6*v. Let b(y) = 6*y**2 + 2*y - 7*y + y**2. Let o = -31 + 25. Let p(x) = o*i(x) - 7*b(x). Find s, given that p(s) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 510*j**2\/11 + 4036*j\/11 - 32 = 0. What is j?\nAnswer: -8, 22\/255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 22 = -3*d, 2*n = 4*d - 3*n + 6. Let y be ((-28)\/(-6) + d)*27. What is the third derivative of y*p**2 - 22*p**6 - 4*p**6 + 0*p**2 wrt p?\nAnswer: -3120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-2))\/(-5*(-4)\/40)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2306, 4596, 6886?\n\"Answer: 2290*n + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 5*q**2 - 21*q + 10. Calculate v(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 5*j + 40, 2*o - 4*j = j + 12. Let x be (7\/(-14))\/((-2)\/o). Let h be 1 + 18\/(-8) - -1. Which is bigger: h or x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -64 - 2\/3*x**3 + 0*x**2 + 0*x. Let t(a) = 22*a**2 + a. Determine m(t(n)).\nAnswer: -968*n**4 - 88*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (9\/((-297)\/(-66)))\/(12 + -13)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from nnnnnnnsnnnnsnnnnn?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**3 - 378*d**2 - 4244*d + 856. Determine r(-177).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 10:02 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (-3 + -11)) + -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**13\/l*l*l**(-9\/5)*l)\/(l**(-3\/5))**11 assuming l is positive.\nAnswer: l**(94\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*p + 40*p - 12 = 0. Suppose s + 3*s - 812 = -p*d, 4*d - s = 1051. Suppose -10*w + d = -4*w. Is w a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4417026 is divided by 294?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -6.8 at most as big as 1147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 20*t**2 + 15)*(17 - 17 - 5*t)*(-4*t + 0*t + 2*t).\nAnswer: -200*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12\/24*(-2 - -348)?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**2 - 13*z - 84. Let w be a(-14). Which is bigger: w or -295?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 421821 and 6.\nAnswer: 843642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s - 1. Let v = 38 - 36. Let u(p) = -5 + 3*p**2 + 3 + 2*p + 0*p - 4*p**v. Calculate -6*i(w) + 3*u(w).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 4*c + 4. Let r be (-1 - -3)\/(-10 + (-58)\/(-6)). Give k(r).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p - 30 = -k, 6*k - 6*k + k + 10*p = 33 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -3, 4*i - 7*f = -3*f + 1096. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in nine eighths of a gram?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jkjkkkkkjkk. Give prob of sequence jjj.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (((-336)\/(-9))\/(-8))\/((-2)\/33). Let o = -75 + c. Suppose 8*y - o*y - 24 = 0. Solve 0 = 2*k - 6*k + y for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33367867 and 338.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 20 = 5*t, 0*t - 3*t = -q. Suppose -q*r = -3*l - 7557, 2*r - 3*l + 7569 = 5*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -939 - -921. Let q be (30\/(-90))\/(3\/n). Solve -8\/3*v**2 + 26\/3*v - q = 0.\nAnswer: 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 177.5 + -178. Put -0.2, 6.6, y in descending order.\nAnswer: 6.6, -0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 4, 15218, -3\/13, 2\/15?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/4)\/(27\/90). Solve -s + 1 = v - 9, l*v - 4*s - 5 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2709737 by 7.\nAnswer: 2709737\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -10. Let y = -7.01 + 0.01. Let z = d + y. Put -0.4, 5, z in ascending order.\nAnswer: -0.4, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1154864984427 less than -0.4?\nAnswer: 1154864984426.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1530 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 11*y - 13*y + y**2 + 7*y to the form u*y + j*y**2 + h and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 - 51 + 3952011*v**2.\nAnswer: 3952011*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 12922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of -5\/108*z**4 + 0*z - 2\/27*z**3 + 2*z**2 - 2\/135*z**5 - 1\/540*z**6 + 0. Suppose i(d) = 0. What is d?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100220002102 (base 3) to base 16.\nAnswer: -2f894","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 318235 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13 + 51?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of i**6\/180 - 17*i**5\/270 - 2*i**4\/27 - 2*i**3\/3 - 25*i - 46. Let v(t) be the third derivative of c(t). What is o in v(o) = 0?\nAnswer: -2\/9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) 74.3 (c) -3\/4 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 4*w - 3*w)*(-3 - 3 - 1) + 8*w - 12*w - 2*w + (1 - 3 + 0)*(1 - w - 1).\nAnswer: 24*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of u**3\/6 - 3*u. Let x be h(3). Suppose -x*l = -6*l + 30. Does 5 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -129, -141, -143, -129, -93, -29?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (878\/48)\/((-2)\/654) - -3. Let d = 5990 + v. Let j = 52069\/12 + -4327. Find the common denominator of j and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (-3)\/2*-6 - 13.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 26, 43, 64, 89?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -a536?\nAnswer: -a537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/24*(-96)\/(-1200)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o**2 + 3*o - 3*o)*(0 + 0 - 2*o**2) + 5*o**4 - 9 + o + 9 to t*o**2 + r*o**3 + q + u*o + w*o**4 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**5\/6 + 116*r**4\/3 + 12983*r**3\/6 - 27494*r**2\/3 + 6962*r = 0.\nAnswer: -118, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -5*z + 20, -1 = -5*y + 3*z - 29 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(2299)*1 + sqrt(19).\nAnswer: -1 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/50 of a meter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 152221333 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: Let q = 0.118 - 0.818. What is the third smallest value in q, -0.3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a**4\/12 + a**3\/2 - 5*a**2\/2 - 2*a. List the prime factors of i(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16\/3 in 4, 0.4, 6.9, -2\/15, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 2:07 AM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45 - -40. Let p = 0 - -1. What is the closest to p in 0.3, i, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5355 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1585407?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 6*x + 3. Let f(j) = 5*j + 2. Let y(i) = 3*f(i) - 2*m(i). Let p(c) = -2*c. What is y(p(r))?\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12 - 107?\nAnswer: -d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2215 - 5654 = 181*g for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -263 - -268. Suppose 0 = -4*s - 2*a + 316, 2*a - 158 = -2*s + n*a. What is the highest common divisor of 395 and s?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 307313650 to the nearest integer?\nAnswer: 17530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7366689 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -o**7\/2520 + o**6\/120 - o**5\/40 + 5*o**4\/12 - 3*o. Let t(n) be the third derivative of l(n). Determine t(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/2582958 and 3\/691.\nAnswer: 2582958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 102*x - 1530. Let k be n(15). Solve -r + 45 - 44 = k for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.099 + 82.901. Let m = o + -84. Let w = 0.2 - -0.1. Which is the nearest to m? (a) w (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/72 and 99\/80?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2037*d + 73019 - 73019 - 5*d + 2*d + 2*d - 2*d - 3 + 3 - 4 - 2*d + 4 - 3 + 3 - 2*d + (4 - 3 + 0)*(-1 - 2*d + 1).\nAnswer: -2046*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of k**6\/105 - 9*k**5\/35 + 97*k**4\/42 - 48*k**3\/7 + 64*k**2\/7 + 3*k. Factor v(y).\nAnswer: 2*(y - 8)**2*(y - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*p**3 + 4 + 6 + 4*p**3 with respect to p.\nAnswer: 39*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -7 - 2*r + 8 + r - 5. Give s(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 87740049 divided by 3\nAnswer: 29246683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 1860.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1480064 (base 12) to base 7.\nAnswer: -50152120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -20*b**5 - 164*b**4 - 360*b**3 + 216*b**2 + 1404*b + 972 = 0.\nAnswer: -3, -1, 9\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/6 + -4 - (4 + 0).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003599151 to five decimal places.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 10*c + 180. Calculate x(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t\/t**(-10))*t**(-3\/8))**(-42)*(t*((t**(-1)*t)\/t)\/t)\/((((t**7*t)\/t)\/t)\/t)*t**(2\/7)*(t**(-2\/3)\/t)\/t assuming t is positive.\nAnswer: t**(32371\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, i: 3, a: 1, r: 1}. What is prob of sequence xa?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (8\/38)\/(((-3747276)\/2907)\/314)\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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 next in 3913, 7824, 11735, 15646, 19557?\nAnswer: 23468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 302 + -270. Let n be (t\/(-36))\/(-4) + (-3170)\/9. Which is bigger: -351 or n?\nAnswer: -351","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 112 * 0.417596.\nAnswer: 46.770752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 10:15 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50956 = 7*k + 12659. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 5*z**2 - 5*z + 2. Let d be b(6). What is d rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 14) in base 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2178948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 71 (base 9) to base 13\nAnswer: 4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 12:03 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -453*j - 316. Let h(r) = -226*r - 157. Let p(g) = 3*d(g) - 5*h(g). What is the first derivative of p(u) wrt u?\nAnswer: -229","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -226 + 201. Let a = 29 + w. Which is bigger: a or -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 208 and 208?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 1 - 3. Let v = t + -1. Let g be (12\/(-2))\/v + 2. Solve -11 - 9 = -g*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.19 (b) 1 (c) 2\/3 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*h**2*j**3 - 2384434*h**2*j**2 - h**2*j + 223560964*h*j**3 - 2*j**3 wrt h?\nAnswer: -8*j**3 - 4768868*j**2 - 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -849, -1647, -2447, -3249, -4053?\n\"Answer: -r**2 - 795*r - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -28*c**2 + 25*c + 10. Let y(f) = -27*f**2 + 20*f + 9. Give -4*p(z) + 5*y(z).\nAnswer: -23*z**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3073)\/(-28) + 2\/8. Suppose 2*v + 14 = 4*z - u, 4*v - 4*z = -244. Round v to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96 + 229 - 43 - o**2 - 13.\nAnswer: -o**2 + 269","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192484 is divided by 64161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18442913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -24*n + 3. Let z be t(1). Let x be z\/(-12) - (1 - 0). Does x = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 + (-105)\/(-25) + (-76)\/(-20). Solve 2*u = -0*u + 5*w + 24, k*u + 8 = -4*w for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3182 = -3*n - 3*x + 1852, 5*n = 3*x + 8430. Is 99 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3812685 divided by 254179?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00088081643 rounded to 6 dps?\nAnswer: -0.000881","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 3*t**2 + 3 - 4 - 4 - t - 4*t**2. Suppose 8 + 4 = 3*n. Let r(g) = -3*g - 2. What is n*r(s) - 7*k(s)?\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 75271875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 21681, 172843, 583111, 1382031, 2699149, 4664011, 7406163, 11055151?\n\"Answer: 21591*w**3 + 7*w**2 + 4*w + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/11 in 2, 20, -2.6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-13)*j\/(j\/j**19*j))\/(j**19*j**(-4)) assuming j is positive.\nAnswer: j**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 6, 5 = 3*o + k - 3. Suppose n = -o*s + 7, -n - 2*n = -s - 14. Let u(d) = d**2 + d - 2. Let c be u(-3). Solve 0 = c*j + 1 - n for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41079504, 82159014, 123238532, 164318058, 205397592?\nAnswer: 246477134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1686835, -1686832, -1686817, -1686784, -1686727, -1686640, -1686517?\nAnswer: -1686352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000059105 rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 3*s**2 - 2*s + 2. Let g be w(3). What is the least common multiple of -1 + (-20)\/g + 0 and 38?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - u + 1 = 0. Let t be u*(3\/9)\/((-1)\/(-6)). Let c(a) = -a**3 - 2*a**2 - 1. What is c(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 5. Let z = -0.007 + -2.073. Let o = z - -0.08. Put q, o, -1 in ascending order.\nAnswer: q, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 303 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*h + 107*h**5 - h + 11 + 119 - h**4 + 122*h**5 wrt h.\nAnswer: 4580*h**3 - 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/9 (b) -2\/3 (c) -4\/5 (d) 83 (e) 2 (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33 - 15?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2847?\nAnswer: 3, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 63540\/7413*28\/10\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6445 and 7050830.\nAnswer: 7050830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6690*v**3 + v**2 + 4*v - 278 wrt v.\nAnswer: -40140*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2190746589?\nAnswer: 3, 1163, 627901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(121) - -1*sqrt(121) - sqrt(121)))\/sqrt(11) + sqrt(22)\/(1*sqrt(6)\/sqrt(3)))**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 523459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u**2 - 3*u**2 - 4*u**2)*(-15*u + 2*u - 3*u)*(3 + 2 - 2)*(-u + 4 - 4).\nAnswer: -96*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.7128 + 327.2872. Which is the biggest value? (a) 2\/11 (b) -1 (c) w (d) -1\/7 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = a - 5*a. Suppose a*y = 4 - 2. Let l be -1 - (y + -2)*4. Solve -s + 0*s = u, l*u - 3*s - 12 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 40\/(-16)*(-28)\/5. Calculate the highest common factor of m and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k = 8*k. Suppose -a = -5*h + 22, h + 2*a = -k*a. What is o in 0 + o**3 + 1\/2*o**2 + 0*o + 1\/2*o**h = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (168\/(-36))\/7*(-1)\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1210 (base 4) in base 16?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15 - 5*u - 15 + 0 + 0 + 2*u + (-2*u + 4*u - 3*u)*(4 + 0 - 2) + u - 2*u - u.\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3107*c - 6150*c + 3075*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 6*sqrt(245)*-1 + -3 + 0 + sqrt(245) + 0)**2.\nAnswer: 210*sqrt(5) + 6134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**3 + 0*d**3 - d**3)*(-3 + 1 + 1)*(5 - 7 - 3)*(-4*d + 6*d - 3*d).\nAnswer: -15*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -7071207.7 rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yj when two letters picked without replacement from {y: 3, j: 17}?\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-four fifths of a day?\nAnswer: 12672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bxxxxxexx. Give prob of sequence be.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c**2. Let k(x) = 103206687*x**2. Give k(a(b)).\nAnswer: 1651306992*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -50719050 divided by 225418\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 8*m + 34. Give l(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -95*y + 17. Give d(-1).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) -4\/19 (b) 98 (c) -32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96549960?\nAnswer: 2, 3, 5, 13, 59, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -18*d - 48. Let w be t(-3). Calculate the highest common factor of 114 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of s**8\/20160 - s**7\/1260 - s**6\/120 + 17*s**5\/60 + s**2. Let d(a) be the third derivative of v(a). Calculate d(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2665\/4264)\/((-3)\/(-4))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11698 or -10115?\nAnswer: -10115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15885709 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three sixteenths of a week?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*h*x**2 + 513*h*x - 18436*h*z**2 + 54*h*z + 4*x**2*z - 553*x**2 wrt z.\nAnswer: -36872*h*z + 54*h + 4*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttttwtfitthttt. Give prob of picking 1 i, 1 h, and 1 t.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -282.9 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 0.1, 3\/4, -1, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-3))\/((-4)\/18). Suppose 0*u + 41 = 4*u + 5*s, -z*u + 45 = -s. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - 0 - 0\/1. Let x(s) = 3 + s + 0*s + 0*s - 1 - 6. What is x(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 + -47. Let k = f - -20.204. Let y = 33.604 - k. Round y to zero dps.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15067 + 15070. Sort -5, w, 198 in increasing order.\nAnswer: -5, w, 198","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*d - 7*d - 287 = 0, -5*m - 2*d + 334 = 0. Let r be m\/16 - 2 - (-2)\/(-8). Let p(h) = -3*h**2 + 2*h + 1. Give p(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/3 + (4 - -3). Suppose -13 = -k*t + 5. Suppose 0 = -t*o + 16 + 2. Solve 4*s = m + m - 6, -3*m + s - o = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 11, -33\/52 in descending order.\nAnswer: 11, -0.3, -33\/52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f + 1. Let p(j) = 4*j - 6. Let r(m) = p(m) + 6*u(m). Let x(b) be the third derivative of -b**4\/6 - 32*b**2. Give r(x(i)).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 23 and -13.0918359.\nAnswer: 9.9081641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 128 and 1650384?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) 1.6 (c) -10 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -111.5 + 17.5. Let a = l + 95.07. What is a rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4276.361 years to months.\nAnswer: 51316.332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i**6 - 5509*i**3 + i**2 - 3840.\nAnswer: 120*i**3 - 33054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p - 4*p - 3*p)*(0*p**4 + 3*p**4 - p**4 + (-3*p**3 + 2 - 2)*(p - 5 + 5) - 2*p**4 - 5*p**3 + 5*p**3) + (0*p**5 + 2*p**5 - p**5)*(2 - 1 + 1).\nAnswer: 8*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + g - 307507, -3*p - g + 922525 = g. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 509940 = 359*j + 478707 for j.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -21*o - 10. Let t(i) = 2*i + 14. Let l be t(-10). Let g be h(l). Suppose 7*r - 11*r + g = 0. What are the prime factors of r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of h**5\/210 + 4*h**4\/21 + 5*h**3\/7 - 2*h**2 - 4. Factor r(q).\nAnswer: 2*(q + 1)*(q + 15)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/(-11))\/((-1620)\/3960))\/(62\/(-3))?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -4, 0.3, -0.0662 in ascending order.\nAnswer: -4, -0.0662, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19440050563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*-1 + (97 - 93)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 2*p**2 + p + 1. Let w be c(-2). Let d(r) = -27 - r - 12*r**3 + 19 + 7. Does 6 divide d(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 6:43 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21153, 83948, 188379, 334440, 522125, 751428, 1022343?\nAnswer: 1334864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 54483266, 217933048, 490349352, 871732178?\n\"Answer: 54483261*t**2 - t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/1*26*2. Let x(z) = -65 + 0*z + 3*z + r. Is x(9) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -5*x**2 + 30*x + 45. Calculate the remainder when 2427 is divided by d(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 231744.547 to the nearest 10000.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n - 16. Let m = 3 - -6. Suppose 15 = 3*d - 0*d. What is the smallest common multiple of d and i(m)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/5)*t*t**2*t**(2\/21)*t**(-9))**(7\/3) assuming t is positive.\nAnswer: t**(-641\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*m + 3*l - 5*l, 0 = -m - 2*l. Let o be (-1 - 6\/4)\/((-29)\/58). Let t be m\/4 + o\/10. Solve -t*g = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.2 (b) -0.5 (c) 5\/3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/(-6)*(-4)\/25. Let h = 1.3 + -0.3. Is h > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31.74 - 31.94. What is the nearest to 1\/3 in 0.8, v, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 2:32 PM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, i: 4, b: 3, e: 1, p: 3, y: 1}. What is prob of sequence ivip?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/((-147)\/(-18)))\/(420\/5488*14)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-154)\/(-143) + (-3)\/39. What are the prime factors of -886*((-5)\/a)\/10?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 123738 to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-11) - 13100\/(-550). Calculate the highest common divisor of n and 90.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of 69*z**6\/10 + z**3\/3 + 15*z**2\/2 + 133*z. Find the second derivative of r(a) wrt a.\nAnswer: 2484*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 10) to base 13\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -32665, -260972, -880659, -2087416, -4076933, -7044900?\n\"Answer: -32615*j**3 - 2*j - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from hhmmhhaahhaaha.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.164 - -5.164. Which is the third smallest value? (a) -8 (b) m (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 962503 - 481255 - 481248 - 10*v**3 + 2*v**2 - 2*v**2.\nAnswer: -10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/6*0)\/1. Does 18 divide (1 + c)\/(1\/18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-21) - (-9)\/(-7). Let v be 1 + 0\/(-1) - l. Let u = 20814 - 20803. Solve v*d + u = 3 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(-99))\/(4 + 46\/(-12)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1334 - -110?\nAnswer: 1444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (56\/42)\/(1\/(-3)). Sort -48, 3, u, 1 in descending order.\nAnswer: 3, 1, u, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 42718*o**3 + 6*o**2 + 12*o - 26377606 wrt o?\nAnswer: 128154*o**2 + 12*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-6)*m**(-1)\/m)\/((m*m*m**1*m)\/(m*m**(1\/3))))\/((m*((m\/m**(-1\/4))\/m)\/m)**13\/(m*(m*m**1)\/m)**(-2\/113)) assuming m is positive.\nAnswer: m**(-18919\/1356)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 112*g**3*q - 3*g**2*q**2 + 2*g*q**2 + 16*g - 10 wrt g?\nAnswer: 672*g*q - 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(42\/(-7))*-3.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3914763582?\nAnswer: 2, 3, 7993, 81629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -830*x + 1671*x - 124 - 154 - 833*x. Give a(36).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -2.4?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 313929?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-513162)\/75465*(-25)\/(-17)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12105 is divided by 5649?\nAnswer: 807","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3906a - -1?\nAnswer: -39069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*w - 22 = 0, 4*a + 4*w + 0 = 8. Let x be a\/(-7) - (-20)\/28. Is -13 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11.23 + 0.23. Let m = 17 + b. Is -2 at least as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and 0.487 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 54 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 8*s = -84. Let c(z) = 2*z**3 - 2*z**2 - 2*z - 2. Let l be c(-2). Which is smaller: l or s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z\/((z\/(z\/(z*z**(-6\/13)*z)))\/z*z)))**(-2)\/((z**(-22)\/z)\/(z\/(z\/(z*z\/z**(-11))))) assuming z is positive.\nAnswer: z**(454\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 10:08 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1451 and 6096?\nAnswer: 8845296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(190)*-3 - -6*(sqrt(190) - (sqrt(190) - 1*sqrt(190))))\/(sqrt(360)*6 - sqrt(100)\/(sqrt(10) + sqrt(50)\/sqrt(5))) + 2.\nAnswer: -18*sqrt(19)\/71 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 60460087445 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9377815 to the power of 1\/2, to the nearest integer?\nAnswer: 3062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1420 (b) -5 (c) -0.2 (d) -1798\/25 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/442 and -21\/323.\nAnswer: 8398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*q**3 + 53*q**3 - 47*q**3 + 98*q**3.\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00011089 to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + 4)*-2*5. Let z be ((-5)\/(-2))\/((-5)\/q). Suppose 0 = 5*o - 5*n - 70, -z = -0*o - 3*o - 3*n. Calculate the highest common factor of 8 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7984331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 408 and (-7 + 91)\/2*48\/56.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 150 divided by 75\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 3)*(5*m + 0*m - 3*m) - 4*m + 0*m + m + (-7*m + 4*m + 4*m)*(-1 + 4 - 4) - 11*m + 7*m - 5*m to the form x + n*m and give n.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1432, -2501, -3492, -4399, -5216?\nAnswer: -5937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 830?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 9:48 AM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 110791 and 54345394.\nAnswer: 4817","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/7)\/(b\/b**(1\/2)) assuming b is positive.\nAnswer: b**(-9\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2\/50*(12 - 0)*-25*208\/(-780)\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (10 + -3 - 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(378\/(-45))*(-36)\/10.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 6 (c) -449 (d) 26 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 1 - 31 = 0. Let p be (1\/3)\/(t\/18). Put 0.3, 0.5, p in increasing order.\nAnswer: p, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21483*u*z**3 - 3476099*u*z + 25*z**3 wrt z.\nAnswer: 128898*u*z + 150*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + -1*sqrt(76) - sqrt(19))**2 - sqrt(1368)\/sqrt(2).\nAnswer: -6*sqrt(19) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2 + (3 + (-2*(sqrt(136) + (sqrt(136) - (sqrt(136) + sqrt(136) + sqrt(136) + sqrt(136)*2))))\/(-1*(sqrt(8) + sqrt(16)\/sqrt(2))))*-1)**2.\nAnswer: -30*sqrt(17) + 182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 17. Let h(w) = -8*w + 2. Let y(d) = -15*d + 5. Let f(u) = n*h(u) + 3*y(u). Let r(z) = z - 1. Determine -f(g) - 6*r(g).\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3880473 is divided by 1940213?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 1. Let d = -54 - -49. Put d, u, 5 in decreasing order.\nAnswer: 5, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 10) in base 4?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*-80*19*186\/20615?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 611 and 1547?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(44) + -4.\nAnswer: -6 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -7*o + 17*o + 6 - 7*o**2 - 4*o. Give q(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 311637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 1\/19, -5, -3, 2, 3.\nAnswer: -5, -3, 1\/19, 2, 3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*l*o**3 - 43*l*s - 11*o**4 + 3*o**3*s - 6*o wrt o?\nAnswer: 30*l*o - 132*o**2 + 18*o*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**2 - 5*u + 3. Let v be l(3). Let f be -2*27\/v - -1. What are the prime factors of ((-10)\/f)\/(1\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 213.36.\nAnswer: -213.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from mfmmomqfqmfmmmmqmfmm?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1203, -1134, -1065?\n\"Answer: 69*x - 1272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 6*s - 20. Let j be n(4). Suppose 0 = -o + 5*o - j. Solve 0 = 5*g - v - 29 - o, 4*v = -g - 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2211130 (base 4) to base 5.\nAnswer: -314323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -3. Let o be 1\/(0 + w)*0. Let u = 12 - 10. Put o, -1, u in descending order.\nAnswer: u, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43 and 1333.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -l**5 - 5*l**4\/4 - 7. Factor p(i).\nAnswer: -5*i**3*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/176514 and -17\/8450.\nAnswer: 57367050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 5*r**4 - 6*r**3 + 33*r**2 - 30*r. Let d(v) = -8*v**4 + 6*v**3 - 31*v**2 + 30*v. Let l(u) = 2*d(u) + 3*w(u). Factor l(s).\nAnswer: -s*(s - 3)*(s - 1)*(s + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 1 = -5*i, n = 5*n + 16 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -16, -6, 1\/5, -4\/7?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2111410*h**4 + 25250633*h**2?\nAnswer: 50673840*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*b + 2728025 + 3132847 + 1298545 = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1616872.\nAnswer: 2, 202109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g + 2. Calculate v(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*x - x**2 + 40*x - 28*x.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 31?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 556 - 532. Solve -12*a = -4*a - x for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -102 + 86 - (-226 - 0). What is the greatest common factor of 4305 and m?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 4*y + 32, -2*s - 575*y = -577*y + 2. Solve -4*h - 15*f - 28 = -11*f, 0 = s*h + 2*f + 24 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -16*l**2 - 31*l - 6. Let o(f) = 3*f**2 + 6*f + 1. Let r(b) = 11*o(b) + 2*p(b). List the prime factors of r(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15384 (base 12) in base 7?\nAnswer: -153124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 0 (b) 4\/3951 (c) 8\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10 + 0)*3\/6. Let n(d) = 5*d - 4. Does 14 divide n(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 432 is divided by 201?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 9:48 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/((-1)\/(6\/15))*(-3)\/19266. Do 1 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 218422 divided by -109211?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*t + 49*t + 54*t.\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/(-8) + (54\/48)\/(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14182629 by -4727543.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d + 18*d - 42 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 5*f - 2*i + 19 = 0, f - 5*i + 15 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f*h**3 - 28*f*s**2 - 2*f + 2*h**3*s**3 + 9*h**3 + s**3 wrt s.\nAnswer: -56*f*s + 6*h**3*s**2 + 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 144602854 to the nearest integer?\nAnswer: 12025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -11445*v**2 - 51. Let p(j) = 11446*j**2 + 68. What is -3*p(b) - 4*r(b)?\nAnswer: 11442*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-70))\/(1\/(-5)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/12130 in -4, 3\/22, 1, 9?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -8*u**3 - u**2 + 6*u + 3. Let z(h) = -h - 1. Let v(s) = -q(s) - 4*z(s). Suppose -n + 4 = 3. What is the least common multiple of v(n) and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 467200185 is divided by 119.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, f: 8}. What is prob of sequence fd?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/32 and 93\/72088?\nAnswer: 288352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 165 = -5*i, p - 141 = i - 6*i. Solve -20*l = -i + 87 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.11 - -0.32. Let r = 8.21 - p. Which is the third smallest value? (a) -3\/2 (b) r (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -5*l + 41, -l - 3 = -3*c + c. Suppose -688 + 113 = -l*a. Is 22 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**2 + 12*d - 5. Let c = 27 + -22. Let l be x(c). What is the hundreds digit of 1\/l + (-3054)\/(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 467 divide 30973775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5501 + -0.4001. Which is the third smallest value? (a) n (b) -0.2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4338117\/60085 + 4\/12017. Factor 1\/5*w**2 + l - 38\/5*w.\nAnswer: (w - 19)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j - 6. Let b be z(4). Suppose d - 110 = -2*g - b*g, -2*d + 268 = -4*g. What is the highest common factor of d and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 112, 76, 2\/11 in ascending order.\nAnswer: 2\/11, 76, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 24\/35 - (-2)\/(-7). Let y = -639\/1610 + -1\/322. Which is the nearest to o? (a) 5 (b) 2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 5*g**2 + 2*g + 2. Let f(z) = 10*z**2 + 5*z + 4. Let c = 3983 + -3974. What is c*o(m) - 4*f(m)?\nAnswer: 5*m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11683*z + 11*z**2 + 11683*z + 23 wrt z.\nAnswer: 22*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(1*sqrt(192)).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 7*a**5\/30 - 5*a**2. Let c(q) = -q. Calculate c(g(v)).\nAnswer: -14*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -663.8 - -465. What is n rounded to the nearest ten?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-27))\/((-104)\/(-780))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 599184?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8552, -32008, -71118, -125894, -196348, -282492, -384338, -501898?\nAnswer: -635184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 47757611, 47757610, 47757595, 47757560, 47757499, 47757406?\n\"Answer: -m**3 - m**2 + 9*m + 47757604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 6 - -24 - -3.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2702*h - 151341. What is m(56)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04 and -49318.5.\nAnswer: -1972.74","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: -4984 divided by -7\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2297*k**2 + 3 - 3.\nAnswer: -2297*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/7, -9, -2\/5, 1\/6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/2*o**5 + 693115*o**2 + 459045\/2 - 1380165\/2*o + 3045\/2*o**4 - 234075*o**3.\nAnswer: -5*(o - 303)**2*(o - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rxxrxrxxxxxx. Give prob of sequence rx.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -8 - ((9 - 17) + 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.04014807 to three decimal places.\nAnswer: 2.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 8 = 5*t, -4*t + 22 + 16 = -5*x. Let n = 2 + x. Let o(w) = -4*w**2 + 5*w. Let v be o(2). Which is bigger: n or v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.8 + 0.2. Let t = -0.9 + l. What is the biggest value in t, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -272 + 316. Is 3 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253\/77 - (-4)\/(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -11*c**2 + 11*c + 3. Let m(u) = -4*u**2 + 4*u + 1. Let n(l) = -8*m(l) + 3*y(l). Suppose 4*p - p = 0. What is n(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1486427766 to the power of 1\/2, to the nearest integer?\nAnswer: 38554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 10 = 3*w, -3*o + 12 = -6*w + w. Let j = 4.6 + -5. Let z = 0.13 + -0.13. Which is the second biggest value? (a) j (b) o (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, s: 2, u: 4, i: 1, c: 2, j: 2}. Give prob of picking 1 s, 2 c, and 1 n.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 53505768 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 87 + -87.4. What is the nearest to -11 in s, 0.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15068 by -2.\nAnswer: -7534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 86562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7826, 16087, 24354, 32627, 40906, 49191?\nAnswer: 57482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6222 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -32*i + 3. Let m be a(1). Let v = 61 - 11. Let q = v + m. Is q a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2299706 minus 44.35?\nAnswer: -44.1200294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (-17 - -29) - 21?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134512.\nAnswer: 2, 7, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 539, -2\/7, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2*g - 12 = 2*g, 0 = r + 4*g - 13. Suppose -2*m = y - 9, r*y + 0*y + m = 9. Let w(q) = -7302*q + 7303*q - 22*q**2 + 8*q**2. Give w(y).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 + 0.2. Let j be -493 + (1 + 3)\/(-4). Let n = j + 3464\/7. Sort 4, d, n.\nAnswer: d, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5389229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 160 = -168. What is the remainder when i is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24 + (-369)\/82 + 1\/2 + -1. Solve 2*f + z*s = 15*s + 10, 2*f - 10 = 5*s for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*o = -3*z + 291, -5*o + 25 = 0. What is z rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 294\nAnswer: 5\/294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*r = -49*r + 5780000. Round r to the nearest one hundred thousand.\nAnswer: 5800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 120 = -2*o, 5*o - y = -0*o - 345. Let f be (-2)\/(-4) + o\/(-20). Suppose q - 68 = 3*j, -f*q - 4*j + 328 = -2*j. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -43211?\nAnswer: -43201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 7565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.7 + -0.58. Let d = 0.017 - 0.897. Let r = d - j. Which is the nearest to r? (a) 3 (b) -0.3 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39 and 416234.\nAnswer: 1248702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 7*y = 132. Let s be ((1 - y) + -3)*(-25)\/(-3). Let m = s + -63. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 160, 217, 276, 337, 400, 465, 532?\nAnswer: 601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 16*w**2 - 61*w + 178. Calculate a(12).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1725315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 8.1*-4\nAnswer: -32.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1567698 (base 10) in base 11?\nAnswer: 980920","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 186\/5 - 37. Which is the third smallest value? (a) 0.4 (b) r (c) -1 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -33*y + 433. Let j be q(13). Suppose 4*z + 4 - 12 = 0. Suppose z*r = -0*r + 34. Solve -j*v - 5 + r = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 1:17 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8370 and 300?\nAnswer: 83700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 6*q**2 - 6*q + 10. What is the remainder when (12\/(-10))\/(6\/(-40)) is divided by f(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -5*s + 32, -3*r + s - 10 = 16. Which is the closest to 3? (a) r (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 7 = -5*b. Let p(r) = 10*r + b*r + 8*r - 22*r. Let y(o) be the third derivative of o**5\/15 + o**2. Calculate p(y(t)).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 645950?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -30143.\nAnswer: -90429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2074983576 - 2074983576 + 3*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 + 6*h**2 + 0*h**2)*(-2*h**2 + 4 - 4).\nAnswer: -8*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.4135265 to zero decimal places.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(15 - -3))\/((-1)\/(-69)). Let c = 23 - x. Suppose c = 4*w - 21 - 227. List the prime factors of w.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -77\/9 (b) 21 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0315 * -4.\nAnswer: -0.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10002 + 101120?\nAnswer: 111122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2548 - -2540. Which is the fourth smallest value? (a) 0.3 (b) -6 (c) -1\/4 (d) m (e) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 14*o**2 + 2*o - 1. Let v be f(1). Find the common denominator of ((-9)\/(-12))\/(v\/208) and 52\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 64237 = -5*t - 2*s, 3*s - 107059 = -5*t. What are the prime factors of t?\nAnswer: 21407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 39173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) -0.5 (b) -16.6 (c) 3 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 304, 335, 344, 325, 272, 179, 40?\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 12:52 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/461 + -916\/1383. Which is the nearest to -2\/5? (a) w (b) 24 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35*r**6 - 3 - 11*r**2 + 3 - 14*r**2 wrt r.\nAnswer: 4200*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -15*x**2 - 11*x. Let w(t) = -5*t**2 - 4*t. Let m(p) = -11*w(p) + 4*y(p). Let v(g) = g. Let o(i) = -8*i. Let s(c) = -o(c) - 6*v(c). What is m(s(n))?\nAnswer: -20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 (base 9) in base 16?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 10:06 AM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.368182 + 0.2.\nAnswer: -0.168182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55 and 1085425?\nAnswer: 1085425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 155 = 174. Let l = n - 41. Solve 0 = 2*b - 4 - l for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**3 - 278 - 37*g + 104*g - 43*g.\nAnswer: -2*g**3 + 24*g - 278","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 101*h + 423. Let m be t(-4). Solve -m*y + 1 = -y - 5*j, 4*j - 4 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 + 23 = -5*o. Suppose 4*w - a + 0*a = 5, -4*w + 2*a + o = 0. Suppose 0*n + n - 4 = w. Solve -12 = n*c - 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1535989892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - 3050421220?\nAnswer: -3050421230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 320792 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 8 + 8)*(2 - 1 - 2)*(-d**5 - d + d).\nAnswer: -4*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000314 rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 40102 = -526880. Let q be 4\/(-6) + k\/(-9). What is q rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w + 10. Determine n(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 j when two letters picked without replacement from {z: 2, r: 1, j: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -68, 0.5, 0.4, 4, 0.79.\nAnswer: -68, 0.4, 0.5, 0.79, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q + 39. Determine p(-17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2753 = -5*m - 5*j - 503, 4*j = -m + 435. Let s = m + -244. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2\/5, -1\/3960, 1\/6 in decreasing order.\nAnswer: 2\/5, 1\/6, -1\/3960, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 60*b**5 + 2572*b**4 + 177*b**3 - 206743953*b**2 - 2*b?\nAnswer: 3600*b**2 + 61728*b + 1062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5771, -5793, -5821, -5855?\nAnswer: -5895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 5*p + 9, 4*p - 2 = 3*p. Suppose -c = -g - 6. Calculate the highest common divisor of 143 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -21412*g**2 - 32*g + 44. Let t(f) = 2*f**3 + 13*f**2 + 11*f + 43. Let q be t(-6). Let a be r(q). Round a to the nearest 100000.\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53975351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -24*l**2 + l - 509. Let n(j) = 11*j**2 - j + 254. Let g(k) = 6*a(k) + 13*n(k). List the prime factors of g(0).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20452*w**3 + 4*w + 213281 with respect to w.\nAnswer: -61356*w**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 5*w - 9897, -9896 = -7*a + 3*a - 4*w. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 4 - (0 - -8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 11 - 13) + -2 - -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 12 = -5*i, 4*u = -u + 4*i - 30. Let w = u + 19. Does 13 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*m**2*t**4 - 55*m**2*t**3 + 615*m**2*t**2 - 28*m*t**3 - 2*t**2 wrt t.\nAnswer: 96*m**2*t - 330*m**2 - 168*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -55 - -54.8. Let k = 1.5 + -1. Let q = k + y. What is the closest to 1\/3 in q, 4, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 10 - 833\/(-75460)*-1177\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from skkokkszoojsooow. What is prob of picking 1 k and 1 o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3*m**2 - m + m**2 + 18*m + 0*m**2 to the form c + z*m + n*m**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(4\/7))\/s*s)\/s*s**(-20) assuming s is positive.\nAnswer: s**(-136\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from mmpatnpjmtnnnmjtpmm.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -9, -4*m = -3*l + 2 - 81. Let g = -8 + m. Let p = -7 + g. Solve 4*n - 5 = -u, 3*u + 3*n + 1 = p for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 533852?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-126)\/139626*(2 + 36\/(-21)). Which is smaller: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 5. Suppose -4*y - 2*r + 145 + 137 = 0, w*y - 4*r = 166. Suppose 0 = -3*c - 4*g + 94, g + 7 - y = -2*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37578317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + a = 0. Suppose a*t + 13 = t. Calculate the highest common factor of t and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 46\/655 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14935 is divided by 180?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*m - 80 + 197 = 48 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -214626 (base 7) to base 12\nAnswer: -19999","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifty-two fifths of a milligram?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 880460 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -293595*p**3 - p**2 + 3469 wrt p?\nAnswer: -1761570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1035)\/18)\/(-23))\/((-5)\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16268326?\nAnswer: 2, 8134163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express a + 9*a**2 - 41*a**2 - 9287*a**3 - 8*a + 9288*a**3 as x*a + i + l*a**2 + b*a**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -154 - 18. Let a = b - -172.71. Round a to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: a15 (base 12) to base 13\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*r = -3*r - 729 + 605 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 416*x - 418*x + 2 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + 7261*c + 14*c**2 - 7261*c + (0*c**2 + 7*c**2 - 3*c**2)*(-2 + 3 + 3) in the form k*c + x*c**2 + w and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qcc when three letters picked without replacement from qcqcqcqq.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -2 - a**3 + 0*a**4 + 0*a + 0*a**6 + 0*a**2 - 1\/7*a**7 + 0*a**5. What is the third derivative of n(y) wrt y?\nAnswer: -120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 18. Suppose -k*i + 7*i - 315 = 0. Calculate the remainder when i is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/(-7821)*81\/9.\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.3440048 rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 7*q**2 - 7*q + 22. Is p(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*w + 124 = -g - g, -8 + 32 = 3*w + 3*g for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*m - 14*m**4 - 70*m + 10*m**2 - m**3 - 8*m**2 + 34*m - 7*m**4 - 4 in the form b*m**2 + n*m**3 + k*m**4 + w*m + l and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 81.082 - 53.082026. Let f = -28 + o. What is f rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -759086286 by -3.\nAnswer: 253028762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81081, -80925, -80769?\nAnswer: -80613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 8:10 AM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/6*(-3 + (-1 - 0)). Let c(g) = -1 + 3 + g - q*g**2 + 124*g**3 - 544*g**3. Is c(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -44*a**3 + 2*a - 2. Let n(l) = l**2 + 2*l + 2. Let q(f) = 59*f**3 - 4*f**2 - 11*f - 5. Let m(r) = 12*n(r) + 3*q(r). What is -2*m(c) - 9*z(c)?\nAnswer: 42*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165*t**2 + 282972*t - 159*t**2 - 282972*t.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = 5*f + 5*z, -4*f + 6*z = 11*z - 45 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 16 = -5*c - 4*p, 0 = 2*c - 5*p - 11 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -297861 or 269?\nAnswer: 269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 342, 2116, 6920, 16266, 31666, 54632, 86676, 129310?\n\"Answer: 252*m**3 + 3*m**2 + m + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10453 and 8?\nAnswer: 83624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 31023\/(-5) - (-10)\/(-25). Let g = t - 3395. What is g rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h\/(h**(-14)\/h))*h*h*h**(-5\/4) assuming h is positive.\nAnswer: h**(-57\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1324460 divided by 5\nAnswer: 264892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = w + q - 1, -4*w = 3*q + 15. Let k = -45240 - -180963\/4. Let -5\/4*b**2 + w + 1\/4*b**4 + k*b + 1\/4*b**3 = 0. Calculate b.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of i**6\/360 - 8*i**5\/45 - 67*i**4\/72 - 17*i**3\/9 + 2*i**2 + 101*i. Find u, given that o(u) = 0.\nAnswer: -1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/4*(-66)\/11. Let q be 0\/(9\/l) + 0. Let h = 1 + q. What is the greatest common factor of 11 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -373474, -746927, -1120384, -1493845, -1867310, -2240779?\nAnswer: -2614252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + v**2 + v + 8. Suppose -2*b - 2*g = -7*b + 22, -6 = -b + 2*g. Suppose -5*n = -6*a + a, -3*n = b*a. Is u(a) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2695 = -5*w, 4*v - 3*w = 1439 + 3990. Calculate the remainder when v is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**9*h*h*h*h\/(h\/(h**11\/h))*(h\/(h\/h**8))**(-48) assuming h is positive.\nAnswer: h**(-379)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 350 + 1315?\nAnswer: 1665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f + 2*f**5 - f + 4*f + (-f**5 - 5*f**5 + 2*f**5)*(0 - 1 - 1).\nAnswer: 10*f**5 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) + sqrt(448)*-3 - (-1 + sqrt(28) + 3))*-4.\nAnswer: 8 + 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 + -0.3. Let l = 12834 + -12833.7. What is the closest to y in l, 1\/4, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, j: 7, x: 3, o: 1}. Give prob of sequence jjjj.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*j - 238252 = 17*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 14 (b) -29\/4 (c) 6713\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 12:20 PM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30651884 and 61303768.\nAnswer: 61303768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 42515*t + 201675*t**2 - 201682*t**2 + 42515*t.\nAnswer: -7*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 - 28*s**2 - 65*s**3 + 2*s + 63*s**3 - 17 in the form m*s**3 + w*s**2 + c*s + a and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 9689214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 35, 31, 7, -43, -125?\nAnswer: -245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 77 and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 3, -6031\/6 in descending order.\nAnswer: 3, -1\/3, -6031\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 54. Calculate the greatest common factor of 528 and a.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 6*z + z**3 - 1492*z**2 - 3 + 743*z**2 + 741*z**2. What is j(7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*(-12 + 14) + 5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 23 + 19 = 0. Calculate the smallest common multiple of 22 and i.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22 - -10?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -12690.784 rounded to the nearest ten?\nAnswer: -12690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (500\/24)\/(-1) - (515\/300 - 66\/1320)?\nAnswer: -45\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -60 + -17?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 7*n + 18. Let g be c(-3). Let q be ((2\/g)\/2)\/(13\/(-195)). Suppose q*u - 21 - 359 = 0. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 262 + 154?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 12*q + 3*q**2 - 2 - 5*q**2 - 25 + 22. Determine i(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2*w + 2 + (-4 + 1 + 4)*(w - w + w) + 2*w + 0*w - 4*w + 3 - 3 - w)*(12*w - 92*w - 33*w) to the form l + z*w + j*w**2 and give j.\nAnswer: 452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -z**2 - 174. Let p(b) = -69*b**2 + 2. Give n(p(u)).\nAnswer: 138*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-5\/3))\/(v\/(v**(-1)*v*v))*v**(-1\/5)\/(v\/v**4) assuming v is positive.\nAnswer: v**(32\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 33?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 511*n**2 + 84 + 77 - 184 with respect to n.\nAnswer: 1022*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34753 + 67063. Is 9 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 193.9 - 184. Let n = j + -10. Is n less than 9\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4566 a multiple of 168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/(-3))\/((-146)\/219)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11001121 - 12?\nAnswer: -11001210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -42 (b) -3566 (c) 158 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1310)\/3537)\/(2\/(-9)). Suppose -k*w**3 - 23\/3*w**2 - 19\/3*w + w**4 - 4\/3 = 0. What is w?\nAnswer: -1, -1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**5 - 31*l**4 + l**2*v - 2*l*v + 4*l - 28*v wrt l?\nAnswer: -40*l**3 - 372*l**2 + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -0*n - 2. Suppose -n*p - 11 = x + 3*p, x - 34 = 4*p. Does 7 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1179)\/917*(-1)\/(-1)\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -57662 divided by -1?\nAnswer: 57662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -219\/413 - -6\/59. Let z be 117\/15 + 1\/5. Let p be z\/(0 + -4)*2. What is the closest to p in 2\/5, -2, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -342 + 451*n - 43*n - 335 - 50*n + 677.\nAnswer: 358*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -55030 + 81241. Let d = v - 12502. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1574434181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -7 - 20\/(-5) - (-6 + -2). Suppose -3*d = -t*d + 60. Suppose 10*r - 96 = -4*g + 5*r, -g + 24 = 3*r. Calculate the smallest common multiple of d and g.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(4\/15)*t)\/(t**(-21)\/t*t))**(-4\/5))**(2\/27) assuming t is positive.\nAnswer: t**(-2672\/2025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 9:10 AM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 355313, 355320, 355331, 355346, 355365, 355388?\n\"Answer: 2*r**2 + r + 355310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17444 and 980.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -5243.7772.\nAnswer: -5244.7772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -30ed + 74?\nAnswer: -3079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 40559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -102916954231 less than -2?\nAnswer: 102916954229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 239 = -223 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f. Let j(v) be the second derivative of -551*v**3\/3 - v**2 - 6*v + 18. Give h(j(k)).\nAnswer: -2204*k - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of 25\/8*y**4 + 1\/120*y**6 + 0 + 8*y + 1\/4*y**5 - 2\/3*y**3 + 0*y**2. Let i(v) be the second derivative of h(v). Factor i(s).\nAnswer: 3*(s + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 4*f - 9, 11 = -3*f + 2. Let r(o) = -o**3 - 7*o**2 - 8*o - 5. Is r(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5 + (0 + sqrt(300))**2*6*-5 + -1.\nAnswer: -9006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14.233 - -14.1. Round v to 2 decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 5:06 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/6 + 4\/12. Let r be (-4)\/(16\/6)*w. Suppose 4*f - 4*a - 21 = 23, 4*f - r*a - 42 = 0. Calculate the greatest common factor of f and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 395 = -2*o, 5*o - 149 = 2*w - 20. Let v = w - -77. What is the lowest common multiple of 20 and v + (-1856)\/(-104) - 2\/(-13)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 10*m**2 - 12*m - 12. Let k = -7 - -18. Let q = -20 + k. List the prime factors of w(q).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v + 7. Let w be f(5). Suppose -3*d = i - 16, 7*i - 10 = w*i - d. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**3 + 19*m**2 - 15*m + 4. Let f(a) = -a**3 + 13*a**2 - 15*a + 4. Determine -3*f(t) + 2*u(t).\nAnswer: -t**3 - t**2 + 15*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4294*n**4 - 1042 wrt n?\nAnswer: 17176*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 3*p**3 + 1 + 7 to i*p + r*p**2 + t + x*p**3 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.2, 17, 0.786, 3, 2, 2\/15?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -185*y**3 + 58*y**3 + 3 + 85*y**3 + y**2 wrt y.\nAnswer: -252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -98, -0.4, 2, -19?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3784 divided by 946.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 4:53 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7654.7 centuries in years?\nAnswer: 765470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6134 - 6134. Solve -2*q = 3*t - 3*q - 12, w = -q for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -1, 294?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2 + 22 = 0. Suppose -l = -3*g + k, -2*k - 4 = g - 15. Let j = g + 5. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -253\/10, -3, -5\/4, 5?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3444, -6904, -10364, -13824?\nAnswer: -17284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + (-37 - -23) + -4?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 10*l**3 + 6*l**2 + 6*l - 255. Let n(x) = 12*x**3 + 7*x**2 + 7*x - 257. Give -6*n(f) + 7*z(f).\nAnswer: -2*f**3 - 243","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 13*k**2 + 9*k + 15. Is s(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4 = 2*h - 21, 4*h + 6 = -2*n. Let k = 4 - h. Let t = 2 + k. Solve 0 - 10 = -t*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9422669 - -9422668.66900037. Let y = m + 0.331. Round y to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) + 2*sqrt(2057))*6 - (4 + 0 + sqrt(2057) + sqrt(2057))**2 - 1*(2*sqrt(1700))**2*1.\nAnswer: -15044 + 22*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285 = 6*s - 321. Let c(r) = 9*r**2 + r. Calculate the remainder when c(-1) is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2617762 (base 8) to base 5.\nAnswer: -141312244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14545015 - 25?\nAnswer: -14545044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(385) - (-2*sqrt(385) + sqrt(385))*-6)\/sqrt(7))\/(-5*sqrt(33)\/sqrt(3) - -3*sqrt(22)\/sqrt(2)).\nAnswer: 25*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5788151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4300 - -6155. Is 35 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 9. Suppose -13*o + 12 = -7*o. Suppose g*s = -8, h - 4 = -o*h - s. Solve -3*w + 6 = -5*b, -4*w - 2 = h*b - 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2264 times -66\nAnswer: 14.9424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -7 - 3132*c + 3133*c + 1 - 10. Give x(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 505 divide 58928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -5*u + 27. Let f(a) = -11*a + 54. Determine 4*f(l) - 9*j(l).\nAnswer: l - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2519138, -2519142, -2519146, -2519150, -2519154, -2519158?\n\"Answer: -4*n - 2519134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 114972503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (115 + -121)*2\/(-12). Let k = -11 + 15. Let u be -2 + k + 64\/(-30). What is the third biggest value in u, p, -0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 673 + -670. Find p, given that -16 + 15*p**i - 10 + 125*p - 35*p**2 - 40*p**2 - p**4 + 26 = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 116.91 - 118. Let t = a - -0.09. Sort -2\/9, -2\/7, t.\nAnswer: t, -2\/7, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -470, -1921, -4368, -7811?\nAnswer: -12250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of p**7\/378 - p**5\/90 + p**3\/54 + 9*p. Factor n(i).\nAnswer: i*(i - 1)**2*(i + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 2*q = 3 + 3, -3*h - 83*q = -88*q + 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2*o + 4*o + 10 = 0, 2*o = y - 2. Suppose -6*c + 5 = -5*c, s - y = c. Suppose s*t - 4*t = 174. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1399, -1327, -1179, -955, -655, -279?\nAnswer: 173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f**3 - 4*f**3 - 2*f - 3*f + 4*f to o + l*f**3 + i*f**2 + p*f and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 159003?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -6*f**3 + f**2 - 5*f - 4. Let b(l) = -3*l**3 + l**2 - 3*l - 2. Calculate -5*b(g) + 3*s(g).\nAnswer: -3*g**3 - 2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 5, -3, 28.\nAnswer: -15, -3, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + 8)*(156\/30 - 4). What is the third smallest value in m, -2\/7, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 8*y**2 + y - 11. Let w be t(8). Let i be 5*w\/(12\/(-4)). Let g(a) = -i - a**2 - 2*a + 3*a - 8*a. What is g(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, s: 1, f: 1, t: 1}. Give prob of picking 2 u, 1 s, and 1 t.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -8\/69 (c) 31 (d) 382.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((4 - 1) + -41 + 39)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1.7205981 months?\nAnswer: 0.000143383175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46785, -496, -5 in ascending order.\nAnswer: -46785, -496, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 47*z + 22. Let o(d) = -17*d - 8. Let m(w) = -4*l(w) - 11*o(w). Let b(r) = -18*r. Let t(q) = -q. Let p(s) = -b(s) + t(s). What is m(p(u))?\nAnswer: -17*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ce when two letters picked without replacement from {c: 4, e: 4, t: 1, x: 6}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 516 a factor of 394740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(133) + sqrt(133))*3)\/((-5*sqrt(14) - sqrt(14))\/sqrt(2)).\nAnswer: -3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9337?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2361352 and 63.\nAnswer: 21252168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3867?\nAnswer: 3, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 8, g: 7, m: 3, j: 2}. What is prob of picking 2 j and 1 m?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-17 - -2)\/(1 - 0). Let t = -7 - o. Let n = 577 - 570. Solve -5*y = t + n for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g**3 + 2*g**3 + 6*g + 3*g**3 + 0*g**3 to t*g**3 + p + w*g**2 + s*g and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g - 4. Calculate y(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2312804013 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h**2 + 18*h + 4. Let p be i(-7). Solve 0 = r + 2*r - 3*f - 9, 0 = -5*f - p for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/4, -5.188, 1.8?\nAnswer: -5.188","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 185\/(-35) + (-4)\/(-14). Are y and -4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9186904564 and -6.6?\nAnswer: 9186904557.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18293\/2 + -9128. Which is the closest to j? (a) 3\/5 (b) -4\/3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 5:17 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1580 = -217*m + 59*m for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*g = 3, 3*g = 7*g - 4. Suppose -3*f - 5*y + 2012 = o, -5*f = -0*f + 5*y - 3360. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -27, -8, -3, 66, -5 in ascending order.\nAnswer: -27, -8, -5, -3, 5, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -261 - -325. Suppose -31 = -19*o + a. Solve -u = -o*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 13*c + 11. Let q be a(14). What is the common denominator of (-67)\/6 - 3\/q and (9\/(-28))\/(4\/(-48))?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4\/7)\/(u**(2\/41)*u))\/(u**(1\/2)\/u**(-15)) assuming u is positive.\nAnswer: u**(-9827\/574)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -834, -826, -814, -798, -778?\n\"Answer: 2*b**2 + 2*b - 838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, 58, 49, 40, 31?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 8*j + 13. Calculate the remainder when 25 is divided by q(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-452)\/(-1695))\/((-2)\/(-24))*30\/(-4)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 5*i - 5120, -5*i = -8*i + b + 3064. Does 85 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4 = w. Let b be (0 - w)\/1 - -3. Suppose -57 = -b*r + 27. Does 5 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 4:09 AM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -466 = -2*v - 476 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (354\/(-3717))\/((-7)\/294).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4\/7 - 12*i**3\/7 + 32*i**2\/7.\nAnswer: -2*i**2*(i - 2)*(i + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wywc when four letters picked without replacement from {y: 2, x: 10, c: 4, w: 4}.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 613393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3\/7 (b) -2 (c) -5 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.027 + 0.473. Which is the second biggest value? (a) 2\/9 (b) y (c) -0.2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 2:03 PM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kh when two letters picked without replacement from rrhrhhhhkrrkrrhrrh.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -103 or -938\/9?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5662, 14, -0.32 in descending order.\nAnswer: 14, -0.32, -5662","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 34 = -42. Suppose -h = 5*d - 1757, -j*d - 4*h + 1396 = -0*d. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 7.4, -26, 7, -3, 0 in descending order.\nAnswer: 7.4, 7, 4, 0, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 64325?\nAnswer: -64321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 1*3\/3. Suppose 4*w + 6 = i. Let o = -1 - w. Solve -2 = b - o for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qvbbvtbvtbbr. What is prob of sequence qbv?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -15 + (-16 - -31).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 22 = 2*b + 6, -q - 1 = -2*b. Let f be (2 - 3) + 12\/q. Suppose -f*d = -239 + 59. Is 13 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 + 82 = 41*t + 106. Let l = 0.5 + -1. Which is the biggest value? (a) t (b) l (c) -1 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15 + (-1 - (-3 + 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2*2\/(-8))\/(-2). Let v be (-224)\/280*(-2)\/(-8). Let u = 8 - 8.09. Sort u, f, v, -0.3 in decreasing order.\nAnswer: u, v, f, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8 (b) -0.1 (c) 1035 (d) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20222 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 3:25 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 + ((-2)\/(-3))\/(16\/(-24)). Suppose 2\/3*s - 19\/3*s**z - 1\/3*s**2 - 5*s**3 + 0 - 7\/3*s**5 = 0. What is s?\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + 6. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9425 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -90 - -53424178.\nAnswer: 53424088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 372748, -1, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = m. Solve 2\/5*a**2 + 2\/5*a + m = 0 for a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + (2 - 0) - 5. Suppose t - 36 = -3*b, -3*b = 2*b + 5*t - 60. Let h = x + b. What is the highest common divisor of h and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lm when two letters picked without replacement from zvdmlndln.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - 5.28561.\nAnswer: -0.28561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 6*s + 40. Suppose 2*f - 16 = -0*g + g, -2*f + 46 = -4*g. Let z be q(g). Solve -4 = -5*o - j, z*o + 5*o + 2*j = 8 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 53 (b) -2 (c) -4 (d) -2\/7 (e) -6383\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 2. Let i = 10.1 - 12.1. Which is the closest to 2\/3? (a) k (b) -1\/6 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4838.506t in kilograms?\nAnswer: 4838506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 1 - 3) + -22 + 23?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -153, -571, -1273, -2259, -3529, -5083, -6921?\nAnswer: -9043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (5*-2*sqrt(228) + (sqrt(228) - (2*(sqrt(228) + sqrt(228) + sqrt(228)*2) + sqrt(228)) - sqrt(228)))\/(-3*sqrt(12)*1 + (-6*sqrt(12)*2 - sqrt(12))).\nAnswer: 4 + 19*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 1956*c + 23327. Determine w(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -4, -875*m + 876*m + 17*c + 8 = 0 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 2*t**2 - 2*t + 1. Let y be v(-2). Suppose 2*b + 5094 = -4*z, -3028 = y*z + 5*b + 3337. Let q = -865 - z. Is q 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 96 and 9903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in years?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1237 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-24)\/(-9) - (-7 + 8)\/(-3). Is (18\/4)\/w*178\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 521.7406 centuries?\nAnswer: 52.17406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3 + 4*sqrt(8)\/sqrt(4).\nAnswer: -2 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1332 - -2315. Let u = -982.99998226 + t. What is u rounded to six dps?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = h + 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**4 - 17286*u**3 + 86488*u**2 + 69144*u - 345920 = 0. Calculate u.\nAnswer: -8648, -2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2405936 a multiple of 344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(80)\/sqrt(2))\/sqrt(8) - -6*(sqrt(5) + 1)))**2.\nAnswer: 2100*sqrt(5) + 7025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20511 and 23521.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29374334 by -157082.\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 20211202 (base 3) in base 9?\nAnswer: 6752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31638 is divided by 13368?\nAnswer: 4902","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34 - -43) + -6 + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 divided by -12275755?\nAnswer: 18\/12275755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1348 divided by 4\nAnswer: -337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -374 - -377. Let j(o) = -o**3 + o**2 - 2*o + 5. Let d be j(0). Solve 3*a + d*k = -0*a - 7, p*a = 5*k - 17 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2568, -7938, -16122, -27120, -40932?\n\"Answer: -1407*o**2 - 1149*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 10 = m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 5*p + 6. Let w be b(8). Let g = 12 + w. Let l = g + -17. What is the remainder when l is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 2 = 2*t, 5407*i - 5405*i + t - 1 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f + 1. Let s be c(-1). Suppose 149 = -5*k - s*i + 3*i, 4*i = -4. Let v be 2\/10 - (-6)\/k. Solve v = r + 4*r + 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 4:09 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**3 - 577*c**4 - c + 293*c**4 + 283*c**4 - 89 to k*c**2 + i*c**4 + g*c + n + b*c**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -422 - -425. Sort -7, 11, 2, c, 1.\nAnswer: -7, 1, 2, c, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16e475 + -1?\nAnswer: -16e476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1324800 rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 20 - 8, 4*h + 4*u = -856. Let q = h + 251. Solve -3*v - q = -21 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k = -4*k - 584. Suppose -k*d + 69*d = -104. Calculate the remainder when (6 - 4)\/((-1)\/(-25)) is divided by d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**2 - 5*a**2 - 2*a**2 + (3*a + a - 5*a)*(2*a + 1 - 1) + (-3*a + 3*a - 2*a**2)*(-5 + 1 + 0).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2112952579?\nAnswer: 131, 16129409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -s**7\/280 + s**6\/24 - s**5\/5 + s**4\/2 + 7*s**3\/3 - 9*s**2. Let m(u) be the first derivative of x(u). Factor m(h).\nAnswer: -3*(h - 2)**2*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17842204\/10658115 - 2\/78949. Let u = k + 2\/27. Which is the nearest to 0.1? (a) -0.2 (b) u (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*c - 1711 = -3855. Is c <= 37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3047284452.\nAnswer: 2, 3, 3547, 71593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -2*k - 3. Let z(p) = p - 3. Let j(a) = 1. Determine k*z(g) + 2*j(g).\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/7 (b) 7 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17347047*r - 7943769 with respect to r.\nAnswer: -17347047","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + 37*k**2 + 2*k - 31*k**2.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293815?\nAnswer: 5, 58763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*q - 4*q - 3*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -9217.636 to the nearest one hundred.\nAnswer: -9200","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -41*w - 227. Let c be q(45). Which is greater: c or -2071?\nAnswer: -2071","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33039683?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -380 - -253. Let u(m) = m**3 + 6*m**2 - 4*m + 4. Let r be u(-7). Let p = r - d. Is 22 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29393140 less than -150.564?\nAnswer: -29393290.564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 99, 357, 799, 1443, 2307, 3409, 4767?\n\"Answer: 3*k**3 + 74*k**2 + 15*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 122 and 1586.\nAnswer: 1586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1167339513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 4*u. Let b = -10 - -6. Give t(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = h. What is the units digit of 2\/(h\/10 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87.044, 0.4, 3, 338 in increasing order.\nAnswer: 0.4, 3, 87.044, 338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t - 9. Calculate s(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1349 - 1344. What is the biggest value in 331, -5, l?\nAnswer: 331","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 51, -6109, -2, 3 in increasing order.\nAnswer: -6109, -5, -2, 3, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*t = -120*t - 16000. Let z = t - -2589. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64152, -512910, -1730974, -4102998, -8013636, -13847542, -21989370, -32823774?\nAnswer: -46735408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*h + 2*h + 60. Solve 4*r - 2*r + 2 = 0, h*u + 2*r - 2 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(-2 + 0 + 1)*(121*q - 169*q + 85*q).\nAnswer: 74*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/12 and -49\/88?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and -224453925?\nAnswer: 224453925.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 60125740 or -2\/37?\nAnswer: 60125740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1411905041 rounded to the nearest 1000000?\nAnswer: 1412000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 6:00 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 129\/2560, 4\/3, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 7.97. Let l = -183.97 - -182. Let a = l - y. Is a not equal to -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -263145, -263249, -263421, -263661, -263969?\n\"Answer: -34*d**2 - 2*d - 263109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/57 and -143\/90972?\nAnswer: 90972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -3, -8, -15, -24, -35?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hoo when three letters picked without replacement from opczczczho?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -12*t. Let z(o) = -44*o - 3. Calculate z(s(j)).\nAnswer: 528*j - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 9283\/5 and 1857 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/11 and (2\/(-4))\/(30\/(-1100))?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/3 + 52\/(-6) - -4. Does 7 divide (64\/(-12))\/i + (-149)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -186 - -201. Let j be 1\/(-3) - 11\/3. Let w = d - j. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258130 is divided by 129065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(392) + sqrt(392) + sqrt(392) + sqrt(392) + sqrt(392)*-1)\/sqrt(8))\/(sqrt(7) - 3*sqrt(35)\/sqrt(5)).\nAnswer: 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -4 + 9 + -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 6*s - 11. Let x(m) = 3*m**2 - 765*m + 376*m - m**2 - 12 - 11 + 376*m. What is -13*l(r) + 6*x(r)?\nAnswer: -r**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -5684723?\nAnswer: 1\/5684723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4132200 + -2?\nAnswer: 4132143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*y - 39*y - m = -1, -5*y - 5*m + 5 = 0. Let u = -14.8 + 1.8. What is the fourth biggest value in u, -0.4, y, -2\/17?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/(98\/(-12))*-42. Suppose 2*l - 5*l + p = 0. Let m be 2 + l\/(-27)*6. Are -0.1 and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 9*y + 7. What is k(6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1865 - 1872. What is the third smallest value in n, -5, 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44 - -46. Suppose o*v + g - 92 = 5*g, -v = 4*g - 34. Suppose -6*s = s - v. What is the remainder when 29 is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -391*p + 136*p + 126*p + 127*p - 6 + 6*p**2 to the form c*p**2 + t*p + z and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 462283.2 micrometers in meters?\nAnswer: 0.4622832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -32604 divided by -3\nAnswer: 10868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*w**2 + 10*w**2 + 59 - 60 + 2*w in the form u*w**2 + l*w + p and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1796025, -1796250, -1796483, -1796730, -1796997?\nAnswer: -1797290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 8*u**2 + 6*u - 12. Let d be r(-6). Suppose -j = -0*j - 2. Suppose -j*w + 16 + 0 = 0. Calculate the greatest common divisor of d and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-786)\/262 + 32\/10.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105245797.\nAnswer: 37, 2844481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 5 - 2)*(-7*h**2 + 2*h**2 + 2*h**2) + 3*h**2 + 0*h**2 + 0*h**2 + (3*h - 3*h - h)*(-3*h + 3*h - 2*h) to the form g + m*h**2 + z*h and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -79*b + 47*b - 256 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.004992 to 2 decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 166985*a**3*p + a**2 + 3*a*p + 639*a + p wrt a?\nAnswer: 1001910*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 453444782 a multiple of 607?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -h - 0*h. What is the remainder when h is divided by (-96)\/(-20)*(-30)\/(-9)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28646720 by -80.\nAnswer: 358084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 800*m**3 + 2*m**2 + 900*m?\nAnswer: 4800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of y**4\/12 - y**3\/2 + y**2\/2 + 2*y - 3. Let c(u) be the first derivative of a(u). Does 11 divide c(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 20*w + 5 = 18*w, -4*m + 5*w + 9 = 0. What is the second biggest value in 5, -1\/617, m, 0.1, -2\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 2*k + 5*q + 76, 0 = 4*q + 20. Let s = k - -88. Suppose -2*o - 1 = -s. Is o a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmy when four letters picked without replacement from {v: 1, y: 3, m: 1, o: 2, b: 1, l: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 847375.\nAnswer: 254212.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 17 = 3*n, -12345*b - 2*n = -12345*b - 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a**3 + 2*a**2 - 6*a + 2. Let t(f) = -f**3 + f. Let o = 2504 + -2505. What is o*b(m) - 6*t(m)?\nAnswer: 2*m**3 - 2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/15 + -1)*130\/(-75335)*-61?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 48*c - 2540. Let v be n(53). Solve 0 = -2*m - 5*s + 2, 4*m = -v*s + 5 - 13 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/(-24)*1*3. Suppose r - 151 = -2*s + s, q*s + r - 300 = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1097 divided by -1?\nAnswer: -1097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 (base 8) in base 3?\nAnswer: 22001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1)**(-7))**(2\/19) assuming q is positive.\nAnswer: q**(-14\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -67766*j**4 + 54443?\nAnswer: -271064*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 154937 from 0.04.\nAnswer: -154936.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-1 - -3 - 0) - (15 - 62)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 560 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 5*n - 20, 3*j - 4*n = -4 - 3. Let a(f) = f**3 + 8*f**2 - 9*f + 6. Give a(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -5*a**2 - 28. Let i(b) = 6*b**2 + 29. Let w be 51\/12 - (-1)\/(8\/(-2)). Let d(g) = w*x(g) + 5*i(g). Find the first derivative of d(f) wrt f.\nAnswer: 20*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 351 is divided by 76.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 14\/8*(-10)\/105*(-84)\/(-8)\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 26*q - 34. Is x(24) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d*z**2 + 49*d*z - 64*d + 3*z**2 + 596 with respect to d.\nAnswer: -z**2 + 49*z - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 4*b = 2, 3*p = -2*p - b + 12 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (3 - 1) + -18 + 20?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**3 + 112970*p**2 + 677685*p + 1016460.\nAnswer: 5*(p + 3)**2*(p + 22588)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -17 * 1.29\nAnswer: -21.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**5\/(x*x*x\/(x**(-1\/4)*x))*(x*(x**(-1\/6)*x)\/x)**(6\/19) assuming x is positive.\nAnswer: x**(229\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2 + 4*m - 19. Determine p(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in decades?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/37 (b) 2\/9 (c) 3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97372907?\nAnswer: 97372907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c**3\/2 + 19485*c**2\/2 + 7242500*c = 0 for c.\nAnswer: -2897, -1000, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4081132 times -5?\nAnswer: 20405660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12897 - -16155. Does 18 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2765753 is divided by 964.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 809, 10, 3, -3 in descending order.\nAnswer: 809, 10, 3, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 308 + 2555. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276435683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 12*l**2 + 17*l - 17. Let k(z) = 2*z**2 + 3*z - 3. Determine 34*k(j) - 6*w(j).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7040.175l to millilitres.\nAnswer: 7040175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09224 weeks in hours?\nAnswer: 15.49632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*q = 21*h - 18*h + 809 - 870, 0 = 2*q + 5*h + 13 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 114 + 9 = 3*c, 0 = 5*c - 4*t - 188. Suppose 32*p - c*p + 72 = 0. Suppose p = j - 21. Calculate the remainder when 114 is divided by j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 1 - 1 + (9 + 2 + 3)*(2*j - j + 0*j))*(-j**2 + j**2 + 3*j**2).\nAnswer: 45*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6)*l\/(l**(-4\/11)*l)*l)\/(l*l**(-2\/9)*((l**(-14)\/l)\/l)\/l) assuming l is positive.\nAnswer: l**(1147\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*r + 33*r - 34*r - 1.\nAnswer: 80*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -209 - -365. Let f = -94 + c. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2997 is divided by 2941.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gsdggssd. Give prob of picking 3 g.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/8924 and -73\/2990?\nAnswer: 580060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 244\/12 + (-11)\/(-33)*((-96)\/12 + 4).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2991 divided by -149303\nAnswer: -2991\/149303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**4\/3 - 21202*o**3 - 63602*o**2 - 190802*o\/3 - 21200 = 0.\nAnswer: -31800, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 9}. Give prob of picking 4 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence npm when three letters picked without replacement from pinmnnininmiipnnnin?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/36)\/((2\/1)\/8))\/(-4).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 73729?\nAnswer: 663561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - (5\/((-20)\/12) + -26). Is 23 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*x + 35 - 38 + 30*x)*(-6 + 2 - 4).\nAnswer: -376*x + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200 (base 7) to base 9.\nAnswer: -118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 9 + 7)*((3 + 3 - 4)*(2 + 4 - 4) - 1 + 1 + 1)*(-2 + 2 - p)*(-1 - 2 - 1).\nAnswer: 560*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -1\/7, -718, 0.4, 0.3, 5 in increasing order.\nAnswer: -718, -2\/3, -1\/7, 0.3, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -13*w**2\/2 - 14. Let u be 2\/(-5) + 88\/20. Let i(h) = -u*h**2 - 3*h**2 + 5*h**2. Determine i(a(y)).\nAnswer: -338*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*r**3 - 18*r**3 + 94*r**3.\nAnswer: 148*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/1292193 and 28\/99.\nAnswer: 14214123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(1216) + (sqrt(1216) - (-2 + sqrt(1216)*2)) - (sqrt(1216) - (-2 + -3*sqrt(1216)))**2))*1.\nAnswer: -19460 - 128*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.243685 rounded to three dps?\nAnswer: 0.244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven quarters of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p**3 - 40*p**3 - 24*p**3.\nAnswer: -56*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 2*z**2 + 5*z + 6. Let p be 6\/15 + 187\/(-55). Let k be s(p). Let u(n) = -n**3 - n - 2. Determine u(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*p - 0. Suppose 3*b - 34 = 5*d, -2*b + d + d + 20 = 0. Let k = p + b. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.02 + 3.02. Which is the second biggest value? (a) -1 (b) p (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -131 - -92. Which is smaller: -38 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 6:18 PM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 71*j**2 + 3*j**4 - 2*j - 2*j**3 - j**4 - 66*j**2 to the form a*j**2 + i + d*j**4 + x*j + c*j**3 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26779816 and 3360.\nAnswer: 1606788960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1040755?\nAnswer: 5, 163, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 25068306 + 448*s - 3*s**2 - 25068306 in the form k + h*s + i*s**2 and give h.\nAnswer: 448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 636 a factor of 56541036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -2.4, -44\/7?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -203*i**3 + 2*i**2 - i - 6. Let b(v) = -401*v**3 + 5*v**2 - 3*v - 14. Determine -2*b(s) + 5*k(s).\nAnswer: -213*s**3 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ahhhg. Give prob of picking 1 g and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -315, -633, -1493, -3165, -5919, -10025, -15753, -23373?\n\"Answer: -45*t**3 - t**2 - 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 - c**2 - 2*c**2)*(-3*c + 4*c - 3*c) + (3*c - 4*c + 3*c)*(2*c - 1 + 1)*(-c + 2*c + 0*c).\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*u = 16*u + 7700. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5417 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 116082*o - 116880*o - 2394 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.618 + 2.738. Which is the biggest value? (a) 5 (b) -0.3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.879 + 611.93379.\nAnswer: 620.81279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 634, -554, 7 in ascending order.\nAnswer: -554, 7, 634","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -c**3\/21 + 3*c**2\/14 + 4*c\/7 + 25. Find g, given that d(g) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 413561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-1 + -4 - 4)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/99 + (-26)\/22. Let y(m) = -6*m. Calculate y(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17556\/1672*(-6)\/9\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.2, -217687, -1\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 84548983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1571100 a multiple of 608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 24 = v. Let j = v + -4. Let s = j - 13. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 64 - 186572?\nAnswer: -186507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b169 (base 12) to base 8.\nAnswer: -45441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36 - 36) + 2 + 0 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 3*j + 5772 = 0. Is j a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 + 2*i**2 + 0*i**2)*(6*i**2 + 8*i**2 + 3*i**2) + 2*i**2 - 2*i**2 - 2*i**4.\nAnswer: 66*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8285 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xg when two letters picked without replacement from cxshgxnh?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 54*n**2 + 28*n - 82. Let x be l(3). Suppose -491*w = -x*w + 6. Let h = -2 + 7. What is the smallest value in 0, w, h, 2\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*0.3.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -166*m**2 + 29*m + 151. Let h(v) = 111*v**2 - 19*v - 101. Let r(c) = -7*h(c) - 5*x(c). Is r(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b81 + -1?\nAnswer: -b82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**4 - 10*g**3 + 45*g**2 + 10*g - 40 = 0 for g.\nAnswer: -4, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**(-8)*t\/(t*t*(t\/(t*t**8*t*t))\/t*t))**(-21\/2))**25 assuming t is positive.\nAnswer: t**(-1575\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and -7198290.3.\nAnswer: -7198288.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 574599722 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7, a: 2, e: 7}. What is prob of sequence ege?\nAnswer: 7\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 w, and 1 l when three letters picked without replacement from lvvgmdvdvvvwvvv?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3578 + -739. Calculate the remainder when l is divided by 98.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*v + 2*t, 0 = 5*v - 2*t - 2 - 8. Suppose 4*k - 5 = 5*b + 1, -4*k + 3*b = -v. Sort 1, 4, k in increasing order.\nAnswer: k, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9024*h**2 + 212*h + 32*h + 8970*h**2.\nAnswer: -54*h**2 + 244*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 32411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -1497*i - 82341. What is n(-55)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -64 - -64.11. Let x = -3.01 + 3. Let h = b + x. Which is smaller: -0.1 or h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(135\/6) + (-116)\/(-30). Suppose 2*q - 2*k = 5*q + 1, 17 = -q - 4*k. Solve f*i = q*i + 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1067 divided by 82\nAnswer: -1067\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1187 or -1\/2983?\nAnswer: -1\/2983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-51)\/(-109) - (-2)\/(25\/(-5) + 1). Which is greater: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1845 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 12*w + 1. Let k be m(11). Let p be (-7)\/k + 2\/(-10). Let 0*l**2 + p*l**3 - 1\/2*l + 0 = 0. What is l?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*r - 9*h + 11*h + 16 + 13, 0*h = -h - 21 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-7)*i)**(-35)*i\/((i**(-4\/5)*i)\/i)*i**(-1\/7))**(1\/7) assuming i is positive.\nAnswer: i**(7408\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -73.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 4:23 AM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -78 (b) 3\/5 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 + 105\/(-12))*10\/(-55). What is the second biggest value in 4, -3\/10, -1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) 7 (b) -2 (c) 4 (d) -4409 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*a - 16. Suppose a = 2*y - 4*y. What is the least common multiple of (y\/6 + 1)*-6 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**3 - 2*l**4 + 4*l**3 + (-4*l + 4*l - l**2)*(l**2 - l**2 + l**2) + 4*l**4 - l**4 - l**4 - l**4 + 2*l**4 + 0*l**4 + (0 + 0 - 2*l)*(l**3 - 3 + 3).\nAnswer: -2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-376)\/(-5))\/((-2)\/60*-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 464\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 5*s**2 - 2*s - 4. Let p(w) = 2*w**2 - w - 2. Let u(f) = a(f) - 2*p(f). Let j(k) = -37*k**2 + 2. Give u(j(z)).\nAnswer: 1369*z**4 - 148*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 3*c + 847 = -72, -5*g + 3*c + 901 = 0. Let j = 221 - g. Calculate the remainder when 192 is divided by j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vgggggggggggggg. What is prob of sequence gg?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 87 + -93. Let l be (-2)\/a + 2\/(-6). Suppose 0 = -k - l*k + 29. List the prime factors of k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*t = -2*n - 8, -5*t - 20 = 0. Suppose -2*x + n = 4. Does 6 divide x\/(-6) + 152\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.834 and 73788021.\nAnswer: 73788021.834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 80\/88011 and -113\/156464?\nAnswer: 1408176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 85*f**3 - f**2 + 2*f - 1. Suppose -3*b = 1 - 4. What is the tens digit of u(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -928896, -1857902, -2786908, -3715914, -4644920, -5573926?\n\"Answer: -929006*u + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-168)*-3*4\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 100 = r + 188, 4*r = 3*x - 261. Which is the biggest value? (a) -4 (b) -16 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 60.601958 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3c + 2?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5701 rounded to 2 decimal places?\nAnswer: -0.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 x when four letters picked without replacement from wxxxwtxxwk.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - -26 - (4 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s - 1. Let c = 8 + -4. What is l(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 9*m - 494. Determine r(27).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 3, 0.5, 23, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -996*a - 118. Does 25 divide h(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.052 * 5.5.\nAnswer: -0.286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6869892 + 355.1729?\nAnswer: 356.8598892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/9 - (-141)\/27. Let l(r) = 1 - 3 - 478*r - v*r. Let j be l(6). Round j to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, y: 1, w: 2, o: 1, f: 1}. Give prob of picking 2 w, 1 f, and 1 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 7 - 10 - x**2 + 10*x - 14*x. Let s = 293 + -295. What is v(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -86, -2\/107, -4\/5?\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q + 1. Let h be l(2). Suppose 3*j - 2*p + 0*p = -12, -2*j = -p + h. Is ((-9)\/j + 2)*2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*sqrt(396) + ((3*(sqrt(396) + -1) + sqrt(396) - sqrt(396))**2 - sqrt(396)))*3.\nAnswer: -450*sqrt(11) + 10719","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1617) + 5*(sqrt(1617)*3 + sqrt(1617)))\/((2*(sqrt(66) + (sqrt(66) - -4*sqrt(66)) + sqrt(66) - sqrt(66)) + sqrt(66))\/sqrt(6)).\nAnswer: 147*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10312 + 14304301?\nAnswer: 14320113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4838\/517 - 102\/11. Let u = 122\/329 - f. Let w = 0.2 + 0.8. What is the nearest to u in -2, w, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + -38389402.\nAnswer: -38389401.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(130)*4*3)\/(-2*2*sqrt(40)).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 92.3 and 0.055.\nAnswer: 5.0765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 2, 1, 40, -559, 19, -5 in ascending order.\nAnswer: -559, -5, 1, 2, 8, 19, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*x + 122 = 68 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (924\/(-13090))\/((-9)\/(-15)). What is the nearest to 1 in l, -0.18, 1, -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of 69*s**5\/20 + 7*s**3\/6 + 161*s**2\/2 + 514*s - 1. Differentiate u(n) with respect to n.\nAnswer: 207*n**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54 - -65. Let s(t) = -14*t - 6. Let k be s(b). Let v be (2 - k)*3\/6. What is v rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -k*q**3 + 99751*k*q**2 + 69*k*q + 7*k + 19*q**3 - 67*q + 35296 wrt k?\nAnswer: -q**3 + 99751*q**2 + 69*q + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is d (base 15) in base 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 + -4.9. Let o = -7 - x. Is o at least as big as 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4547118 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - v. Let u be (-2)\/(-4)*(3 - -1). Let z be (-6 - 12\/(-4)) + 12. Let f(g) = -2 + 7*g - z*g**u + 2 + g**3 + 2*g. Determine -2*f(j) - 18*i(j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 6*h - 6. Let k be x(4). Differentiate -k - 3*v**2 + 7*v**2 + 0 + 4 wrt v.\nAnswer: 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 734100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - ((-10 - -5) + -7 + 2 + 14)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*r**3*w - 147*r**2*w - 34*r*w - 1832*w + 489 wrt r?\nAnswer: -6*r**2*w - 294*r*w - 34*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of 18*v**3 - 191*v + 0*v**2 + 0 + 0*v**6 - 241\/42*v**7 + 0*v**5 + 1\/12*v**4. What is the third derivative of x(n) wrt n?\nAnswer: -14460*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 4*c**2. Let a(w) = 2*w**2. Let m(r) = -r**2 - 6. Let z(y) = -3*y**2 - 17. Let b(v) = 17*m(v) - 6*z(v). Let h(u) = a(u) - 3*b(u). Calculate h(s(g)).\nAnswer: -16*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(((k**(-3)\/k)\/k)\/k)*k)\/(k\/((k\/((k*k**(-4\/5))\/k))\/k)))\/(k**(6\/11)*k**(4\/9)) assuming k is positive.\nAnswer: k**(3371\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -848.78 or 0.2?\nAnswer: -848.78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13 and -2.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -95679700 rounded to the nearest one hundred thousand?\nAnswer: -95700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - i = -53, -2*g - 49 = 2*g - 3*i. Let u(k) = -5*k - 48. Let a be u(g). Solve -5*d - 25 = 0, 5*x + d + a + 3 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 5:55 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 552 and 192.\nAnswer: 4416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7599480799?\nAnswer: 7599480799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**4 - 30*d**3 - 54*d**2 - 26*d.\nAnswer: -2*d*(d + 1)**2*(d + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xjqq when four letters picked without replacement from {q: 6, j: 9, l: 1, k: 1, n: 2, x: 1}?\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5060 and 111964.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 24*o - 328. Give q(14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000051522438 rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*p + 6219, 0 = p + 175*d - 178*d - 1539. Solve 1549*v = p*v + 55 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86 = 31*u - 100 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 293 times 0.4\nAnswer: 117.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1314, -2530, -3746, -4962, -6178?\n\"Answer: -1216*o - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1080*-1\nAnswer: -1080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8684*c**2 + 20371*c**2 + 17343*c**2)*(0*c**2 + 3*c**2 - 2*c**2) in the form d*c + u + b*c**2 + n*c**3 + w*c**4 and give w.\nAnswer: 29030","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-39)\/(-60) - ((-57)\/(-30) + -2). Let z be -2*(-3)\/(-75)*(-5)\/(-5). Let v be 2*-1 + 80\/38. What is the biggest value in v, z, q, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**2 + r + 5. Let d(f) = -f**2 - 1. Let u be (-9)\/(-2) - 6\/(-12). Let z(p) = u*d(p) + b(p). What is the second derivative of z(n) wrt n?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -103886 - -14959501\/144. Let s = 11\/16 + y. Put -1\/4, -0.1, s in descending order.\nAnswer: s, -0.1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -l + 2*u, 0 = 2*u + 121 - 117 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 5*b + 18 + (-1 + 1 + b)*(-3 + 2 - 1))*(-57 + 726 + 145).\nAnswer: -5698*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v - v + v)*(5*v + v + 0*v)*(-1 + 5*v + 1) as m*v**2 + j*v**3 + q + x*v and give j.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5696764 divided by 4.\nAnswer: -1424191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -66*s**2. Let v(a) = 182*a. Determine p(v(q)).\nAnswer: -2186184*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 215 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1255552 and 3536.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187*w = -186*w + 1330. Round w to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7009 is divided by 52?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 197453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tyy when three letters picked without replacement from {t: 2, y: 4, d: 6}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8597882 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12910?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) -2\/15 (b) 0.1 (c) -465 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3302752 or -3302784?\nAnswer: -3302752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94, 977, 2046, 3113, 4178, 5241?\nAnswer: 6302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 10.03. Let v = g - 0.37. Let w = 0.1 - 0.2. Which is the second smallest value? (a) v (b) -3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 13 = 6*m - c, -5*c - 10 = 5*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62961094.\nAnswer: 2, 7, 4497221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 12:12 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387863 is divided by 129276?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -289*m + 286*m - 4*z + 5063 = 0, 4*z = -4*m + 6752. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -48 + 48 - 8*k - 15*k as v + n*k and give n.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14352726.\nAnswer: 2, 3, 17, 223, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from bbiibi?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1 (b) 1\/2 (c) -2\/9 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 11. Let p be (-37937 - -3)\/(v + -6). Let x = -32967 + p. What is x rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 5 (b) 1 (c) 2\/3 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -169*k**4 - 8502*k**3 + 901728*k**2 + 48311936*k = 0.\nAnswer: -808\/13, 0, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2059 divided by -712.\nAnswer: -2059\/712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5*w - 19 = -4*k, -k - 18 = 3*w. Let j be -10*k*(-10)\/(-75). Suppose -5*n - i = -5*i - 420, -j*n = 2*i - 362. Does 22 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -879 + 2083. Suppose 0 = 9*p - c - 578. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 4*i - 2*i)*(2*i**2 + 4*i**2 - 4*i**2) + (97*i**2 - 208*i**2 - 207*i**2)*(-2*i + 0*i + 3*i) + 2*i**3 - 3*i**3 + 4*i**3.\nAnswer: -317*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 2*r + 5*s, -6 + 19 = -r + 3*s for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*p + 7*p + 3*p - 8*p + 0*p.\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17*m*o*z - 48*m*z**3 + 23*m*z**2 + 4*o*z**3 + 142*o*z - 21*z**2 - z wrt m?\nAnswer: -17*o*z - 48*z**3 + 23*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from {s: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = j - 0*j. Suppose -j*p = -4*n + n - 12, -4*p = -n - 4. Sort 5, -1, p.\nAnswer: -1, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*l**3 + 9*l**3 + 13*l**3 - 33*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 754824 + 13*m**2 - 754824.\nAnswer: 13*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -5*v**2 - 5*v - 1. Let g(c) = c**2 + c + 1. Let l(q) = 3*g(q) + j(q). Let t(b) = -4*b**2 - 3*b + 4. Let f(p) = 5*l(p) - 3*t(p). Determine f(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 258 + -148. What are the prime factors of z?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 18787 = 4*h - 15104, -25417 = -3*h + 2*y. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -476.964 - -477. What is the second smallest value in j, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 190 (c) 4 (d) 2\/15 (e) 1\/3 (f) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4) + (sqrt(112)\/sqrt(4))\/sqrt(7))\/(-3*sqrt(6)\/sqrt(3)).\nAnswer: -2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 5*f = 411. Suppose 147 = 2*a - f. Suppose 5*r - 258 = q + 108, 2*r + 4*q = a. Calculate the remainder when r is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 528504 and 684?\nAnswer: 1585512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence berm when four letters picked without replacement from rfmmrfbe.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 15*h**2 - 15*h + 14. Let k be w(14). Suppose k = v + c, -11 = -5*v + c + 7. Solve 0*p - v*p = -3, 5*p = -2*z - 3 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 364*r + 12. Let d be q(-5). Let w = d - -3020. Let u = -773 + w. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -92*u + 28*u + 135 + 185. What is the closest to 2 in -0.06, u, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-299*s**2 - 310*s**2 - 110*s**2)*(0*s + 0*s - s**2)*(-4*s + 0*s + 0*s).\nAnswer: -2876*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + q + 2*q**3)*(204*q - 55*q + 86*q).\nAnswer: 470*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 4*f - 16, f = 6*f - 3*c - 20. Suppose 2*o - f*o - 2 = 0, 5*y - o = -9. What is the third biggest value in 5\/2, -1, y, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - t = 14, 5*u = 2*t + 2 + 20. Let c = u - 2. Factor 83 + 12*w**3 + 4*w**c + 4*w + 12*w**2 - 83.\nAnswer: 4*w*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1060745747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 5*o + 480. Suppose 8*v = 4*v + o. Suppose -h = 3*h - v. Is 10 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100211 - 0?\nAnswer: 100211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -24, -29, -38, -45, -44, -29?\n\"Answer: j**3 - 8*j**2 + 12*j - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-3)\/w*w)\/w*w)\/w*w*w**(2\/13))**(30\/7)*(w**0)**32*((w\/(w*w**(-4)*w))\/w*w)\/w*w*w**(-1\/6) assuming w is positive.\nAnswer: w**(-5113\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1774 + -1038. What is the hundreds digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -u**3 - 49*u**2\/2 + 11*u. Let d be q(-9). Solve -d*i + b - 4*b = -35, 5*i = 2*b + 10 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26523555 (base 9) in base 8?\nAnswer: -61656571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -s + 19, -2*s = 134*a - 84*a - 80 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from dridirrirxi?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -365 (b) 0 (c) -3 (d) 0.06 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 10:17 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4173867929.\nAnswer: 7, 11, 73, 742549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 11b (base 15) to base 4\nAnswer: 3323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -0.4, 77, -0.1, -1.5, -1?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 + 2)*(4 - 4 + 2)*(-d + 0*d - 4*d) to the form y*d + v and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 13*s = -17*s + 28, -m = -2*s + 8. Solve 0 = -6*l + 5*l + m for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (917\/455 - 4\/2)*(-270)\/(-108). What is the nearest to -0.3 in 1\/4, 5, 25, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/1474 and 21\/670.\nAnswer: 7370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 6:54 PM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -5.7 (b) 5 (c) 2\/9 (d) -1\/4 (e) 0.4 (f) -4153\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 431*z**2 + 11*z - z - 22*z + 11*z as o + a*z**2 + q*z and give a.\nAnswer: 431","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32863669.\nAnswer: 17, 47, 41131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 13410 (base 5) to base 13\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 - -7?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78\/(-84) - (-15)\/30?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*t - 5*t + 12*t)*(0 + 3 - 1) in the form u*t + i and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 0)*(3\/(-3))\/(-1). Let b(y) = 8*y**2 + 0*y**2 + 2*y**i + 5*y**2. Let u(p) be the first derivative of -p**2 - 1. Determine b(u(z)).\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 334*r - 2807 = 7547 for r.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/5)\/r)**(3\/5)*r\/(r**(4\/9)\/r)*r\/(r*r**(-2))*r*((r*r**(-7)\/r)\/(r*r**(7\/6)\/r))**(-1\/21) assuming r is positive.\nAnswer: r**(1847\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -6. Let z be 5\/d - 1\/3. Calculate the least common multiple of z*(-4 + 1)\/3 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/8? (a) 7 (b) -1407 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 18. Let v = 0 - -6. Let r = v + 0. Calculate the least common multiple of n and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -171 + 168. Let m(h) = 15*h**2 - 2*h - 16. What are the prime factors of m(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -114*a - 384 + 27 + 15. Let s = 8 + -5. Put 1, a, s in decreasing order.\nAnswer: s, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-2)*21\/49.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -57716, -230893, -519520, -923597, -1443124?\n\"Answer: -57725*a**2 - 2*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/18601 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*p = 61*p + 21. Let z(w) = -59*w + 410. Let y be z(p). Suppose -l - 2*l = -5*n + 35, -5*n - 4*l = 0. Sort 3, n, y, 21 in descending order.\nAnswer: 21, n, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 78*j + 2864. Let k be m(-35). What is the highest common divisor of k and 26398?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -6*m**3 + 166*m**2 + 55*m + 26. Let w be y(28). Suppose -3*f = 2*f. Which is the closest to -1\/6? (a) f (b) -1\/5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1257 + -1255. Solve 3*k = 2*z + 1, 3*z = -3*k - m*k + 27 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2845402 to the nearest integer?\nAnswer: 1687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 10. Suppose -714 = -l*r + 423. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 - 0.9. Let g = 3.9 - j. Suppose 123*i - 138*i = -45. Sort -2, g, i in descending order.\nAnswer: g, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1755 and 0.64227.\nAnswer: 0.46677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-5) - -1)*-5. Let a(t) = -2*t + 5*t + 7 - 5*t. Is a(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*j + 42*j = -j - 26*j - 7920 for j.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/63, 2\/3, -4, -1\/32, -1\/43, 1\/3, -1?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 4*x**3\/7 - 27255964*x**2\/7 + 46430459720096*x\/7 + 46430486976064\/7 = 0.\nAnswer: -1, 3406996","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 0*x - 4*x**2 + 5*x**2 + 3*x + 6. Suppose -2*f - 2*f - l = 5, l + 5 = -f. Suppose f*q + 5*q + 20 = 0. What is p(q)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 861*i**3 - 896*i + 29 - 860*i**3 + 905*i + 7*i**2. Calculate n(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.002 * 0.2\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 60.9424m?\nAnswer: 60942400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, h: 1, y: 1, a: 2, f: 2}. What is prob of sequence tfat?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - -2*sqrt(77)*-2 - (sqrt(77)*1*-4 - sqrt(77)))\/(sqrt(99)\/(sqrt(72)\/(sqrt(8)*3) - sqrt(9))).\nAnswer: -4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 36866.\nAnswer: 147464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 18*y = 13*y - 120, 0 = -2*o - 4*y + 42. Suppose 4*t - 109 = 43. Let v(d) = d - o + t - 2. Calculate v(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.388651 rounded to zero dps?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1320*l**4 - 450 wrt l?\nAnswer: 5280*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -8*n - 274. Give i(-37).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from gdddddgdddg.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 15 = -u. Let k(n) = -5*n. Let l(g) = -14*g. Let x(i) = u*l(i) - 8*k(i). Let y(h) = -h. Give y(x(f)).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -810 take away -0.1?\nAnswer: -809.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -6*l + 28. Let z be x(4). Suppose -t + z*t - 163 = -2*a, 5*t - 265 = -2*a. What are the prime factors of t?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m - 7. Let w be (0 - -3) + (-18)\/2. Let q be f(w). Is 5 at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 7\/12, -5, 5, -2, 334 in increasing order.\nAnswer: -5, -2, 7\/12, 3, 5, 334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -14*n + 22*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*d + 54*d - 174*d - 100*d.\nAnswer: -277*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 620*m**3 + 9*m**2 + 622*m + 614. Calculate j(-1).\nAnswer: -619","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*p + 11*p - 42*p + (-1 + 1 + 1)*(2*p - 3 + 3))*(1 - 1 + 10*p) + (1 - 2*p - 1)*(p - 2*p + 2*p).\nAnswer: -442*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -122243.\nAnswer: -12224.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1366421*a**3 - 1366422*a**3 - 323*a**2 + 1982*a + 323*a**2.\nAnswer: -a**3 + 1982*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**5)**5\/(k**(3\/7)*k**(4\/5)\/k) assuming k is positive.\nAnswer: k**(867\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 675 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 1332?\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(1\/6)*p))**(-5)*(p*p**(1\/2)*p)\/p**9 assuming p is positive.\nAnswer: p**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227643 + 40020 = 11*q. Let i(j) = -24333 + q + 13*j. Let a(l) = -16*l. Calculate a(i(p)).\nAnswer: -208*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1113 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4338471 divided by 1383?\nAnswer: -3137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 157 (b) 47 (c) 1\/89\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 125 = -6*c. Let b = -1233 + 1240. Factor -12*r + c*r**3 - 5*r**2 - 17*r + 2 + b + 8*r.\nAnswer: (r + 1)*(5*r - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-22) + 2245\/55. Let p = l - 39. Solve 5*m - h + 13 = 0, 0 = -0*m - p*m - 3*h - 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*b + 14. Find the common denominator of -10\/21 and (0 - (-1)\/9)\/(b\/20).\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*d + 5 + 5, -2*v - 2 = d. Solve -6 = -4*m - q, 4 = 2*q - v for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 147?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -788197956790 + -0.9\nAnswer: -788197956790.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67753, 541938, 1829015, 4335430, 8467629, 14632058, 23235163?\nAnswer: 34683390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1723683*j**3 - 2 - 1723678*j**3 - 18*j.\nAnswer: 5*j**3 - 18*j","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -o**6\/120 + o**5\/12 + o**4\/24 - 2*o**3\/3 + 3*o**2. Suppose z = w - 6, -2*w = -6*w - 5*z + 6. Is t(w) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from vqvqqqvvvqvqvvqqvqqv.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -174 + 170. Calculate the remainder when 45 is divided by (12\/3 + f)\/2 - -28.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 302303331223?\nAnswer: 302303331232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y = 5*d + 46 - 91, -3*d - 9 = 3*y for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 79 by 1208204.\nAnswer: 79\/1208204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 9594*c - 10540*c + 2.\nAnswer: -946*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -5026564*q**5 + 341815320*q**4 + 4416736*q**3 - 341815048*q**2 + 609828*q - 272 = 0?\nAnswer: -1, 1\/1121, 1, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000449523 rounded to six decimal places?\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6613.\nAnswer: 17, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3495880, 3495879, 3495878, 3495877, 3495876?\nAnswer: 3495875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -170, 2\/25 in increasing order.\nAnswer: -170, 2\/25, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.03, 1, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -388099292*t**4 - 732861569 wrt t.\nAnswer: -1552397168*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 20 = -i. Suppose -3*z + r = 50, -5*r + 2*r + 75 = -i*z. Let o = z + 27. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((-6 - 2)\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105966\/25578*14\/609.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/6)\/(2\/(-72)*6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*n - 115 - 2 + 29*n + 2*n**2 - n**2.\nAnswer: n**2 + 19*n - 117","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -23316, -46647, -69976, -93309, -116652?\n\"Answer: -w**3 + 7*w**2 - 23345*w + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-393)\/262)\/((-2)\/(8\/6)). Sort -2, 6, 5, b.\nAnswer: -2, b, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of 3*g**7\/14 - 2*g**3\/3 - 7*g. Find the second derivative of u(z) wrt z.\nAnswer: 180*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 91\/(-21) + (-2)\/(-6). Let v = x + 13. Does 9 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*f - f. Suppose -5*n + 270 = 4*a, -a + 3*n = -78 + f. Suppose 2*p - 7*p = -a. Solve -p = 2*i - 3*r + 5*r, -r - 17 = 3*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -557, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -15*a + 557. Is z(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 135 + -525\nAnswer: -390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14053*a**2*c**2 + a**2*c + 3444*a**2 - 32*a*c**2 + a*c + 20*a + 4*c**2 - 4*c wrt c.\nAnswer: -28106*a**2 - 64*a + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of v**9\/72 + 11*v**5\/60 - 12*v**2. What is the third derivative of o(b) wrt b?\nAnswer: 840*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/94160486 and 85\/148.\nAnswer: 188320972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4250927 is divided by 163494?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36006858 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 94 and 143396248.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 13*y**3 - 7*y**2 + 89*y. Let x(n) = 5*n**3 - 2*n**2 + 29*n. What is -2*s(a) + 7*x(a)?\nAnswer: 9*a**3 + 25*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90, 184, 280, 378, 478, 580, 684?\nAnswer: 790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 14772?\nAnswer: 73860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + -23)\/(4\/(-54)). Does i = 325?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i + 137. Let v(f) = 2*f**2. Determine v(l(p)).\nAnswer: 8*p**2 - 1096*p + 37538","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11571 is divided by 2873.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: 178 + -194 + (3 - (3 - -5))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -13*p - 261. What is v(-21)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2759884 is divided by 244?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = c - 167, -80 = 4*p + 3*c + 160. Let h = p - -92. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2 + 3 + 17*y - 5 + 14*y**3 wrt y.\nAnswer: 84*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (25\/(-375))\/(24\/(-15)). Let i(p) be the first derivative of h*p**6 - 5 + 0*p**2 + 0*p - 1\/20*p**5 + 1\/12*p**3 - 1\/16*p**4. Factor i(v).\nAnswer: v**2*(v - 1)**2*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173394.777 rounded to the nearest ten?\nAnswer: 173390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -195026, -195024, -195022, -195020, -195018, -195016?\n\"Answer: 2*k - 195028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 6*g + 18 = 0. Suppose 2*b - 260 = -3*d, 5*b + 5*d = g*b - 117. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -624 (base 7) to base 3.\nAnswer: -102120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (-3 - (-10 - -10)) + 4\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 267.5024 kilograms to tonnes.\nAnswer: 0.2675024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -207 less than or equal to 396.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 60727688 a multiple of 1508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -3. Let n(y) = -y**3 + 6*y**2 - 7*y + 9. Let i be n(4). Solve 14 = -2*j + 4*s, 3*j - k*s + i + 2 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 123730 times 0.4\nAnswer: 49492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 571452 divided by 39?\nAnswer: 190484\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-170)\/2*(-4)\/10. Suppose 5*a + 4*m = -10, 0*m = 2*a + 3*m + 11. Suppose 2*t + a*t = -2*p + s, 0 = -5*t + 25. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(0 + (-42)\/(-8))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2333 equal to 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**3 + 3*x**2 + 20*x - 3. Let m(i) = -120 + 112 - 550*i**2 + 59*i - 6*i**3 + 558*i**2. Calculate 3*m(o) - 8*q(o).\nAnswer: -2*o**3 + 17*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 40710881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9772*z**2 + 438*z - 7.\nAnswer: 19544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 654156932+-0.8668\nAnswer: 654156931.1332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/7 (b) 0.2 (c) -3\/290 (d) -2\/9 (e) -1\/3 (f) -0.7 (g) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -223*w**2 + 4 + 359*w**2 + 2*w + 1 - 5 to the form b*w + d*w**2 + o and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m + 1. Let a be c(-3). Let r be (-3 - (-40)\/12)\/(a\/(-18)). Suppose -s + 182 = -r*p, -4*s + 588 = p - 88. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57 - 56. Let s be (((-3)\/2)\/b)\/(6\/32). Calculate the lowest common multiple of 12 and ((-108)\/s)\/(1 + (-1)\/4).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 w when three letters picked without replacement from {w: 2, u: 7, b: 3}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h + 2. Let z(u) = 4 + 8 - 11. Determine -s(n) + z(n).\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -1896*s - 157. Is b(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1179)\/(-2) + (39\/6 - 6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.6078 plus 9913.3?\nAnswer: 9893.6922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-4)*(13\/(-78))\/((-3)\/(-24)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express r**2 - 32*r + 64*r - 10*r**2 - 34*r as j*r**2 + p*r + x and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -8*k + 2. Let w be d(-2). Suppose -i = -0*i - w. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -259314*c*d**2 + 206193*c wrt d.\nAnswer: -518628*c*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by 65.\nAnswer: -11\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 14 = -4*o - 4, 0 = k - 3*o - 13 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 52 - 8. Let h be (9\/6)\/(3\/(-4)). Let b = h - o. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21284*v**3 + 161*v**2 + 5*v + 8 wrt v?\nAnswer: -127704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 333561886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-46) + 2498462\/851. Let x = 5269 - n. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n*n*n\/((n**(-11)*n)\/n*n)*n*n)*n)\/((n**(-3\/8)\/n)\/n))\/(n**(4\/3)\/n*n**(-10)) assuming n is positive.\nAnswer: n**(-47\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (-50 - (0 + -13))\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**4 - 2*a**3 - 4964*a**2*o + o + 12603 with respect to a.\nAnswer: -8*a**3 - 6*a**2 - 9928*a*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2620*i**3 + 2620*i**3 - 74*i**5 + (2*i**3 + 2*i**2 - 2*i**2)*(-2*i + 0*i + 4*i**2 - 2*i**2).\nAnswer: -70*i**5 - 4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00145545 to 4 decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 7:04 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1059, -1061, -1063?\n\"Answer: -2*h - 1057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 475276022?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/5*-3)\/((-1)\/6*2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 150*d - 23. Let z(j) = -75*j + 10. Calculate -6*t(q) - 14*z(q).\nAnswer: 150*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 144 = -0*w. Let d be (1\/(-3))\/(8\/w). Suppose 2*m - 2*n + 25 - 5 = 0, 0 = 3*m + 5*n + d. Is -6 greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -172 divided by -43?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278*z - 117 = -127 - 546. Let u = -26 - -40. Solve -i + u = -z*s, -i + 5*i = -5*s - 9 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 a factor of 8109855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32 + 37. What is the second derivative of -j*u + 14 + 32 + 2*u + 0*u + 2*u - 100*u**2 wrt u?\nAnswer: -200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 407742*h**3 + 734713*h**3 + 0*h + 0*h.\nAnswer: 1142455*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 8*s - 9. Let u be c(6). Let k(v) = v - 58. Let p(t) = -11. Let o(f) = -k(f) + 5*p(f). Calculate o(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j - 9. Let u = 261 + -249. What is q(u)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of -u**4\/24 + 5*u**3\/3 - 20*u**2. Give k(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16.28 + -15. Let b = -0.08 + s. Sort b, 0.1, 2\/7.\nAnswer: 0.1, 2\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -290, 290, 1070, 2074, 3326, 4850?\n\"Answer: 4*m**3 + 76*m**2 + 324*m - 694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 196429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-14) - 2070\/(-9660).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + c. Let d be v(-2). Let t be ((-2)\/(-3))\/(2\/6). Suppose -f + t - 1 = 0. Solve 3*n = -f - d for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 7:18 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 12:59 PM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 31*q**2 + 2*q + 2. Let m be j(2). Let v = m - 86. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = g + 12. Suppose 159*p = 152*p + 469. Suppose g*y = -46 + p. Let c(b) = b**2 - 5*b - 7. Calculate c(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -10008*s + 17. Let t(h) = 1666*h - 3. Give 6*a(n) + 35*t(n).\nAnswer: -1738*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*i + 2*p = 24, 4*p = 2*i. What is the first derivative of i - 4 - 54*z**2 + 56*z**2 wrt z?\nAnswer: 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8499112477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -79 - 13. Let i = -66 - w. Let x = -31 + i. What is the nearest to -1\/2 in -1\/10, 2\/13, x?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 3*m - 59. Let r be g(-13). Let o be 2\/(-4)*20\/(-2). Suppose 0 = -o*b + r + 79. Does 10 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1062 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*g + 2*g + 25*g + 367055. Is -5646 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -115829639\nAnswer: 57914819.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1057.\nAnswer: 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = a + 80. Suppose -b = -3*r + 4, -b + a = 4*b + 3*r. What is the third derivative of 4*c**2 - b*c**2 + c**2 - 2*c**5 wrt c?\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 14 = -5*i, 2*r + 15 = -r - 4*i for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*3\/(-6)*6194\/(-652).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 55*m**5\/4 + 2417*m**4 - 21641*m**3\/4 + 6673*m**2\/2 - 179*m - 178 = 0.\nAnswer: -178, -2\/11, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 300781*b - 3308621. Determine v(11).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 34 = 2*i. Let w(m) = -m - 5. Let p be w(-8). Suppose -p*k + 2*v = -i, 3*v = 5*k - v - 29. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 4*w**2 + 2*w + 4. Suppose 4*u = 2*a + 4, a + 2*u - 4 = 6. What is the units digit of s(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1027730933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n = -256 + 139 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 68 - 38. Let z = -20 + b. Suppose -6*i - 24 = -z*i. Solve -3*f - i = -2*r, -r + 8 = -f - 3*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -3, -0.02, 1.1?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 163*i**2\/3 - i = 0.\nAnswer: 0, 3\/163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, -16, -3\/8, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6205559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 4*l)*(5*l**2 - 11*l**2 - 5 + 4) as y*l + s + h*l**3 + i*l**2 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + (-4)\/1 + 4 + -4. Suppose w = 286*f - 290*f + 20. Solve -3*a - n = 2*n + 6, -f*a + 20 = -n for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/(-10))\/(40\/(-25)). What is the closest to 0.1 in v, -0.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 87378.17 millennia in years?\nAnswer: 87378170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-3\/8))\/y**(2\/5))\/(y**(-3\/5))**47 assuming y is positive.\nAnswer: y**(1137\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1746752558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/((2*-1)\/(-4)). Let a be -3 - r - (-5 - -2). Solve a*w + o + 9 = 0, o - 24 = 3*w + 6*o for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1287721, 1287970, 1288397, 1289008, 1289809, 1290806?\nAnswer: 1292005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 34, 262, 678, 1282, 2074?\n\"Answer: 94*b**2 - 54*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70768.\nAnswer: 2, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4 = -1. Let z be 1\/5 + (-24)\/(-5). Let f = z + -2. What is the highest common divisor of f and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 19 = -1. Let b be (1\/(-2))\/(1\/i). Suppose -673 = -b*j - 113. What is the greatest common divisor of j and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1167192 divided by 26?\nAnswer: -44892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 5)\/(2 - 0). Let s be ((-4)\/6)\/(l\/(-6)). Suppose s*a + 5*y = 39, 0*y + 5*y = 15. Solve -3*k = 3 + a for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - y = -18. Let b be ((-6)\/y)\/(2\/(-12)). Is -0.1 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1060\/11 or 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/(-2) + 2\/4. Let u = c - -4. Suppose -4*l + 0*l = -2*o + 52, -3*o - l + 113 = u. Does 18 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**4*r*((r\/(r**(1\/11)\/r))\/r*r*r)\/r*r assuming r is positive.\nAnswer: r**(87\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-29)*v)\/(v\/((v**(2\/5)*v)\/v)))**4 assuming v is positive.\nAnswer: v**(-572\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 668.6639 weeks?\nAnswer: 404407926720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(252) + 2 + sqrt(252))*3 + 2)*4)**2*2.\nAnswer: 15552*sqrt(7) + 291762","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 674554039?\nAnswer: 3457, 195127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4320*k - 238259. Calculate h(55).\nAnswer: -659","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h**11\/h)\/h*h)\/h)**10*h*h**(-16)*h\/((h*h**(-4\/7))\/h) assuming h is positive.\nAnswer: h**(676\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -7, -355, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1056 and 48?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1456, 2926, 4418, 5944, 7516?\nAnswer: 9146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 29 = 3*p, 7 - 2 = y + 3*p. Let r be (-1)\/y*8\/1. Suppose -3*s = -o - r*s + 1, 3*o = -2*s - 2. Solve -3*u + o*a - 4*a + 7 = 0, 5*a = u + 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -278 - -281. Suppose h*d + 4*l - 32 = 2*l, -3*l = -3*d + 42. Solve -4*w = d - 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -57*m + 0*m**4 - 3*m**5 + 77*m + 0*m**4 wrt m?\nAnswer: -60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -z + 17, 5*i - 17 + 2 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1965196717?\nAnswer: 11, 71, 2516257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*9*5\/(-30).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 7*i**3 - 789*i**2 - 217*i + 13. What is d(113)?\nAnswer: 1030","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r**2 + 9195*r - 18390. Calculate w(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(1\/2))\/((k**(6\/11)*k)\/k))**(-1\/47)\/((k\/(k\/k**(-10))*k)\/(k**(14\/9)\/k))**(-11) assuming k is positive.\nAnswer: k**(-978353\/9306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - l + 6*l**2 + 9*l + l - 10. Is 2 a factor of z(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22221210 + -2100011?\nAnswer: -102021221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**3 - l + l)*(-1 + 3 - 3) + 3190 + 215*l**3 - 3190.\nAnswer: 214*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -5*y - 6. Calculate o(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -232304866, -232304854, -232304834, -232304806, -232304770?\nAnswer: -232304726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/10)\/((-20)\/8).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 774*c + 776*c - 1553*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -68? (a) 90 (b) -9\/10 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -0.6416.\nAnswer: -0.25664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1760 - 1588. List the prime factors of u.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207 is divided by 2\/(-4) - 1*(-53)\/2.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 3*v - 17889 = -0*v, -l + 3591 = 5*v. Suppose l = 9*d - d. Is 46 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 366754?\nAnswer: -366747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*16\/4)\/(4\/(-2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b*i*l*r**3 - 2*b*i*l*r + 6*b*i*r**2 - 27*b*l*r**2 - b*r**3 - 2*i*l*r**3 + 2*l*r**2 wrt r.\nAnswer: 6*b*i*l - 6*b - 12*i*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x + 17. Suppose -5*c = 10, 0 = -j + 2*c + 3*c - 4. Let i be t(j). Solve 5*l = i*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1104117106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -5*t**5 + 9644*t**4 - 75016*t**3 + 186406*t**2 - 132531*t - 34578 = 0.\nAnswer: -1\/5, 2, 3, 1921","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b*i**2*r - 3*b*i**2*y - 3*b*i**2 - 4*b*i*y - b*r + 4*i**2*r + i*r*y + r*y wrt i.\nAnswer: 4*b*r - 6*b*y - 6*b + 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3888404 and 24440.\nAnswer: 2444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((27\/36)\/(30\/(-4)))\/(720\/(-600))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u**3 - u**3 - u**2 + 2*u**3 + (u - 3*u + u)*(4*u**2 + 0*u**2 - 2*u**2) - 2*u**3 - 4*u + 4*u to z*u**3 + c*u**2 + l*u + t and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/14 or 83048?\nAnswer: 83048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/187 in -1\/8, -0.1, 262, 89\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/8 and -55\/128?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12263400?\nAnswer: 2, 3, 5, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 149597563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 38*v**2 + 38*v**2 - 77*v**2 - 10 - 14*v. Let k be b(-11). Find the third derivative of -32*x**6 - 15*x**5 - k*x**5 + 36*x**2 + 38*x**5 wrt x.\nAnswer: -3840*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -2\/9 (b) -2 (c) -0.3 (d) 0.15 (e) 4239\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1516 + 1528.035. Let y = -11 + o. Let n = y + -0.035. What is the second smallest value in -2\/7, -1, 5, n?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/135*2*-6*1?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10336043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91549 is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 21*y**2 - 21*y - 3. What are the prime factors of z(-17)?\nAnswer: 2, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 8:20 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46144.\nAnswer: 2, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1))**(-43))**(-1\/15)\/((o**(1\/5)*o)\/o*((o**(-2\/13)\/o*o)\/o*o*o)\/o*(o\/(o\/((o\/(o\/(o\/(o*o**(2\/3)\/o))))\/o*o)))**(2\/23)) assuming o is positive.\nAnswer: o**(-4398\/1495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-10) + (-8)\/70. Let q be (10 - 187)*2\/6. Let m = 61 + q. Which is the nearest to -2? (a) f (b) 5\/2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331109 is divided by 7841.\nAnswer: 1787","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, 52, 0.5, -13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -967\/6 or -161?\nAnswer: -967\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -140*n**3 - 2288*n**2 - 11928*n - 13832. Let b(r) = -47*r**3 - 761*r**2 - 3977*r - 4611. Let g(l) = -8*b(l) + 3*f(l). Solve g(y) = 0 for y.\nAnswer: -8, -18\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -n - 3*m, -3*n + 2*m = 6*m - 160. Which is the closest to 0? (a) n (b) -0.5 (c) -3 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10117 - -10151. Solve l*q + 77 = 23*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76600 is divided by 70104.\nAnswer: 6496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15378, -15380, -15374, -15354, -15314, -15248, -15150, -15014?\nAnswer: -14834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, k: 1, q: 2, j: 6, i: 2}. What is prob of sequence qjqi?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1858 + 1945. Calculate the remainder when w is divided by 70.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/11 - 16\/33. Which is greater: 27 or x?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 + 2*c - 3*c - 2*c + 6*c + (-2 - 1 + 1)*(c + 0 + 0) - 6*c + 7*c + 8*c + (-3 - 3 + 4)*(3*c - 2*c - 2*c) + 3*c - 4*c + 2*c as i + q*c and give q.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*b*n**2 - b*n - 211*b + 8*n**2 wrt n?\nAnswer: -16*b*n - b + 16*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7389492?\nAnswer: 2, 3, 11, 17, 37, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -891*v**4 + 5*v**3 - 3690*v**2 - 42986566 wrt v.\nAnswer: -3564*v**3 + 15*v**2 - 7380*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of d**3\/3 - 7*d**2\/2 + 12*d + 22. Factor r(g).\nAnswer: (g - 4)*(g - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - ((-12)\/4)\/(-1). Let f = 12 + s. Let c be (-8 + 2)*(-2)\/f. Solve c*o = o + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 - 22 + 21)*(4 + 0 + 3)*(-4*r + r + r + r + 0*r + r + (1 - 4 + 4)*(r - 1 + 1)).\nAnswer: -196*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 149689567 to the nearest integer?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6377.00004621 - -6377. What is t rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -90, 1\/2, 2\/9, -3 in ascending order.\nAnswer: -90, -3, 2\/9, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 123*r + 131*r - 258*r + 4*n - 48, 6*n = -3*r + 7*r + 66 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010100101110000101 + 101?\nAnswer: -100010100101110000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -51, 0, 8 in decreasing order.\nAnswer: 8, 3, 0, -4, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 54, 66, 78, 90, 102?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(325) + 0 + -2 - (6*sqrt(91)\/(sqrt(7) - (sqrt(28)\/sqrt(4) - sqrt(7))))**2.\nAnswer: -470 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 607, 919, 1229, 1537?\nAnswer: 1843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 6*u = 5*u + 12, 2*u = -5*t + 18. Let i be (0 - (2 - 3))*4. Solve 4*o - 6 = -h, -t*h = i*o + h - 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 132 - 31313133?\nAnswer: -31313001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(5\/(-1) - -3). Solve -2*g + i*t = -4*g + 6, -5*g = -4*t + 30 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of 1\/30*p**5 + 1\/3*p**4 + 2*p**2 + p**3 + 0*p + 0. Let u be h(-6). Calculate the greatest common factor of u and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84021*v**2 + 41835*v**2 + 41909*v**2.\nAnswer: -277*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13853321\/104 + 133204. Find the common denominator of 95\/8 and r.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 86*v**3\/3 - 61*v**2\/2 - 7. Find the second derivative of o(s) wrt s.\nAnswer: 172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39 + 42. Which is the nearest to 1? (a) q (b) -0.4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-34)\/16)\/(((-7)\/20)\/(364\/(-1820))).\nAnswer: -17\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 17\/(-34)*(1 + 5). Let k be ((-3)\/(-8))\/(x\/(-4)). What is the biggest value in 5, k, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1698\/19 or -0.9?\nAnswer: -1698\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 4 - -14*(-9)\/6. Let k be 4 + (-136)\/36 + 4\/n. Suppose k*v + 32 = 2*v. Calculate the smallest common multiple of v and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 4 = -0*u, -381*u - 95*u = 3*x + 337*u - 78*u + 1464 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 16. Suppose 5*o - b - 256 + 35 = 0, 94 = 2*o + b. Calculate the greatest common factor of o and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1083, -1109, -1121, -1113, -1079, -1013, -909, -761?\n\"Answer: m**3 + m**2 - 36*m - 1049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-12) - (-3350)\/40. What is the highest common divisor of 48 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x**2 + 3*x + 2*x - 6*x + x**3. Let a(i) = -i**3 - 61*i**2 + 130*i + 249. Let k be a(-63). What is y(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(105\/(-28) - -4). Suppose 4*f - t = 11*w - 9*w, 3*f - 20 = -2*w. Solve 4 = -2*v - 2*r, -2*v + 5*v = -w*r - 8 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 482816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a**2*j**2 - 996525122*a**2*r - a*j**2 + a*j + 7*a + 2*j**2*r - 754*j - 83 wrt r.\nAnswer: -996525122*a**2 + 2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 7. Let a = h + -2. Find the second derivative of -j**4 + 2*j - 5*j**4 + 4*j**a wrt j.\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1308385 to the power of 1\/2, to the nearest integer?\nAnswer: 1144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 33414.44 to the nearest one hundred.\nAnswer: 33400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of k**8\/112 + k**7\/10 + k**6\/10 - 3*k**5\/5 + k**2 + 7*k + 102. Factor y(g).\nAnswer: 3*g**2*(g - 1)*(g + 2)*(g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - i + 4 - 19 = 0, 0 = 5*f - 4*i + 57. Let g(u) = -5*u - 57. Let h be g(f). What is the nearest to -0.1 in h, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-12) + 15\/12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 2*f. Let m be (4\/((-16)\/(-4)))\/(-1). Let z = m - -4. Determine q(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2039a1 (base 16) in base 5?\nAnswer: -1020040110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -0*w. Suppose 2*l - 5*n - 10 = -w*n, 5 = l - 2*n. What is the remainder when 8 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*l = -81*l + p - 32, 5*l + 5*p = -20 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2015907787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 7*u - 800. Let r = 600 - u. Round r to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2433\/2 + -1244. Let s = o - -28. Suppose 0*r**3 + s*r - r**4 + r**2 + 0 - 1\/2*r**5 = 0. Calculate r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.3, 2.9, -1 in increasing order.\nAnswer: -1, 0.3, 2, 2.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2653 - 2882 + 1860 = 75*o for o.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((21 - 14) + -17 - (-5 - 0)) + (12 - -51)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 1:42 AM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-30)*-29*10\/(-435)\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((84564\/270)\/(-58))\/((1\/(-15))\/(5\/15))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 6*b - 24 = -5*c, 5*c = 4*b + 27. What is the closest to 2\/3 in -1\/9, b, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**3 - 189*r**2 + 189*r**2.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/41 (b) 1\/5 (c) 22.9 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j + 1647*j**2 + 1611*j**2 - 2*j.\nAnswer: 3258*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 2*r + 3. Let n = 23 + -20. Let z(b) = 0*b + b + b**2 - 4 + b**n + 2. Give 2*h(i) + 3*z(i).\nAnswer: i**3 + 3*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v - 9*v**3 + 2*v - 2*v.\nAnswer: -9*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7353 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/7 (b) -2\/3 (c) 24.911 (d) -11 (e) 0.7 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0, -2, 12, -2\/59?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -14.5. Which is the third smallest value? (a) p (b) 0.1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 512*z**2\/13 + 448*z\/13 + 98\/13 = 0.\nAnswer: -7\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/60)\/(3\/45)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 24*g - 51. Give c(-22).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -13, 1\/16, -3 in increasing order.\nAnswer: -13, -3, -2, 1\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**0*m)**(4\/37)\/(m**(-1)\/((m**(1\/11)\/m)\/m)))**(1\/9))**(-2\/5) assuming m is positive.\nAnswer: m**(188\/6105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -p**5\/60 + p**4\/3 - 7*p**3\/6 - 33*p**2\/2 - 36*p. Let x(j) be the first derivative of o(j). Determine x(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -3, 0, 4, 1.\nAnswer: -15, -3, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 19925135\nAnswer: -3985027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 0*k + 3*x - 170, -2*x = k - 45. List the prime factors of k.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 115834, 231744, 347652, 463558, 579462?\nAnswer: 695364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 39070000 rounded to the nearest 1000000?\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14000062981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -224715 by 355.\nAnswer: -633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 9*d - 4*d - 19894, -d + 3977 = -q. Is 71 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.017174 to three dps.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bjbjbb. What is prob of sequence bbjb?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1.8 (b) -3\/5 (c) -3 (d) 0.22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 6 (b) -10\/33 (c) -57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**2. Let k(v) = 81*v**2. Determine y(k(z)).\nAnswer: 13122*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, v: 3, t: 4}. What is prob of sequence wt?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-33)\/9)\/(6\/504). Let m = -304 - x. Solve 5*y - 30 = 2*i, 0*i = 3*y + m*i + 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + 3 + (-69639)\/18. Let h = v + 3886. Find the common denominator of -101\/10 and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -92603, -185257, -277927, -370613, -463315?\nAnswer: -556033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/7 (b) 0.2 (c) -2 (d) -230 (e) -0.02 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-11)\/((-88)\/(-354)))\/(3\/(-32)). What is the greatest common divisor of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32286 is divided by 2934?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -44*n**3*s + 2*n*s - 101*s with respect to n.\nAnswer: -132*n**2*s + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -108b252 (base 14) in base 13?\nAnswer: -1826043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 132 and 55608?\nAnswer: 611688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**15\/x)\/((x*(x\/(x*x*x\/(x\/(x\/(x\/(x*x**(-4)*x*x))))))\/x*x)\/x))**(-5\/8) assuming x is positive.\nAnswer: x**(-35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 y when three letters picked without replacement from {k: 1, y: 8, h: 5, f: 1, o: 5}.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 - 325*n - 1220.\nAnswer: -5*(n + 4)*(n + 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -2c61?\nAnswer: 2c59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100075 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3 - 5*o**2 + 11*o - 9*o + 14*o**2. Let x be l(2). Suppose -x = -5*j + 43. Calculate the remainder when j is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24*x**3 - 4*x**2 + 57*x**3 + 42*x**3 + 160 + 50*x**3 wrt x?\nAnswer: 750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-4) + 4\/2. Let d = n - -1. Let z be d + 0 + 8\/(-4). Sort 0.1, -0.3, z in increasing order.\nAnswer: -0.3, z, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16440 + 6148627\/374. Let b be 94\/(-476) + 6\/21. Let x = b - f. What is the third biggest value in -0.4, -0.1, x?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -36\/25?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 39626.93 and -283067.\nAnswer: -243440.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 4*r = -95, -14*d = 10*d - 21*d + 5*r - 131 + 25 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1216902 and 16862?\nAnswer: 1233764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.03, 12\/5, -6.94?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*x**2 - 21*x**2 - 263*x**2 + 3 - 3 + x**2 + 3*x**2 - 2*x**2 - 2*x**2 + (5*x**2 - x**2 - 2*x**2)*(0 - 1 + 0) as u*x + s + v*x**2 and give v.\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -13394 * -0.1\nAnswer: 1339.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1220 - -1217. Let n(d) = 4*d**3 + 3*d**2 - 34. Let u(t) = -t**3 - t**2. Give y*u(l) - n(l).\nAnswer: -l**3 + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 22*h**2. Let w(i) = 0*i**2 + 4*i**2 - 4*i**2 + i**2. What is r(w(p))?\nAnswer: 22*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (7880\/(-25))\/(((-12)\/(-20))\/(-3)).\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12116.02mm to nanometers.\nAnswer: 12116020000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 838882 and 3434.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - i**2 - i - 20. Let g be s(0). Let a = g + -20. Let f be ((-42)\/(-4))\/(4\/a). Round f to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1864 and 1735992596?\nAnswer: 932","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000010011101001010010 (base 2) in base 11?\nAnswer: -1258093","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*g. Solve -5*a + 12 + 13 = g for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.8 + -1.2. Let q = 408 + -407. Sort q, 3, -3, d.\nAnswer: d, -3, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 643\/5 + -129. Let v be 0\/(-1) + 201\/(-15). Let u = -13 - v. Put n, -1, u in descending order.\nAnswer: u, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-24)\/238)\/(10\/35). Let k be (-8)\/(-1)*(45\/12)\/(-5). Is k less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1368666015.\nAnswer: 3, 5, 1459, 62539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -8861 * 2\nAnswer: -17722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/7, 33, 0.1.\nAnswer: -2\/7, 0.1, 4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -21164044880 to the nearest 100000.\nAnswer: -21164000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -9*r**3 - r**2 - r. Let q be t(-1). Suppose -2*f + 12 = -2*o, -2*o + 4*f - 31 + q = 0. Is 631 + 1*(1 + o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -10) + (-309 - -300).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a century in months?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 23682, 23674, 23666, 23658, 23650, 23642?\n\"Answer: -8*s + 23690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 5*i - 1 - 4, -2*i - 3*d - 18 = 0. Let m = i - -2. Let o be ((-6)\/(-12))\/(m\/(-3)). Which is the closest to -0.1? (a) 3 (b) o (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 78\/11 + -367\/44. Let l = 203.9 - 204. Let n = 4.8 + -4.6. Which is the nearest to k? (a) -5 (b) l (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rottttttot. Give prob of picking 2 t.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/4, 0.03, 2\/13, 6, -5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, e: 2, n: 11}. Give prob of sequence nen.\nAnswer: 22\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y. Let k(m) = 48333*m**2. Calculate k(w(p)).\nAnswer: 193332*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 1. Let m be -4*(-6)\/(-48)*(-3 - 1). Let n(r) = 5*r**2 - 2. Calculate m*h(x) + n(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**3 + 13*w**2 - 13*w**2 + (0*w - 5*w - 2*w)*(2*w**2 - 4*w**2 + 4*w**2)*(4 - 16 - 55).\nAnswer: 936*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -18b942?\nAnswer: 18b946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/c**6*c)\/(c\/(c**(-2\/5)\/c)))**(-8) assuming c is positive.\nAnswer: c**(216\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = o - 16, -17 - 3 = -2*o - 5*l. Let w = 0 + 0. Let q be (3 + w\/1)\/(-1). Sort o, q, 4 in descending order.\nAnswer: 4, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 16 = 2*c, c - 7*u + 2*u = 20 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10540375?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82518, 165252, 247986, 330720?\nAnswer: 413454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/39, 3\/4, 0.4, 1, 21 in decreasing order.\nAnswer: 21, 1, 3\/4, 0.4, 2\/39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 + -34. Let b = 0 - -5. Suppose -v = -b*d - 33, t*v - 38 = -2*d - 2*d. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*s = 30*s + 3*a - 15, 4*a - 58 = -3*s + 61 for s.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35044663 to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 56, 195, 416, 725, 1128?\n\"Answer: n**3 + 35*n**2 + 27*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 - 4*w**2 + 4*w**2)*(1 + 1 - 1) - 12*w - 2*w**2 + 12*w - 1.\nAnswer: -3*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*k**2 + 2*k + k**2 + k**4 + 4*k**2 to s*k + r*k**2 + v + d*k**4 + z*k**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/70 and -1\/35?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-42)\/70*20\/(-306).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2ca (base 13) to base 9.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -1\/5 (b) -5 (c) 0.1 (d) 8\/229 (e) 0.5 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q + 80. Calculate i(-13).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2773346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 577309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -8050750 to the nearest ten thousand.\nAnswer: -8050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 117.3634 (b) -0.071 (c) -4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -17*z**2 - 4*z + 2. Let a be w(4). Let j be 6\/9 + a\/(-3). Suppose -7*u + 10*u = j. Calculate the highest common factor of u and 352.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 178 + -185 + 4 + 12. Let s(g) = -9*g**2 + 21*g + 17. Let c(l) = -4*l**2 + 10*l + 9. Let f(x) = -7*c(x) + 3*s(x). Calculate f(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-5)*9\/((-108)\/330). What is the highest common factor of v and 165?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -c**7\/7980 - 2*c**6\/285 - 12*c**5\/95 - 35*c**3\/2 - 5*c**2 - 1. Let o(k) be the first derivative of s(k). Factor o(a).\nAnswer: -2*a*(a + 12)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 121103.0225 to the nearest one hundred.\nAnswer: 121100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2621 divided by -7761\nAnswer: 2621\/7761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 13 and 2600\/219 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22876, -23329, -23782, -24235, -24688?\nAnswer: -25141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 21614.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -275*m**5 - 7468*m**2 + 17103144*m?\nAnswer: -5500*m**3 - 14936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/912 and 121\/24.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 7*k**2 - 2*k - 13. Let o be m(-7). Is ((-1673)\/(-14))\/(o\/14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 128, 129, 128, 125, 120, 113?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 38\/7 (b) -670 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56)\/(sqrt(7) + sqrt(63)))**2 - (1*sqrt(8) + 5)) + ((-2 + sqrt(648))*-5)**2.\nAnswer: -1802*sqrt(2) + 32591\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106274?\nAnswer: 2, 7, 7591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 397900 - 175241. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -114523 and -114518 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 279.6398 to the nearest integer.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/72 + (-76)\/(-18). Let i(y) = 61 + x*y - y - 4*y - 49. Does 5 divide i(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8721, -8701, -8659, -8583, -8461, -8281, -8031?\nAnswer: -7699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 11:52 PM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 10:35 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 454, 440, 424, 406, 386, 364?\nAnswer: 340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (0 + -11) - (1 + 3 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55364*13.\nAnswer: 719732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.476 rounded to one decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 128108462?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -421 - 175*n**3 + 840 - 419.\nAnswer: -175*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 5*m + 2970 = 0, -4*x + 9*m - 7*m = -2984. List the prime factors of x.\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 9*d**2 - 10*d - 2. Suppose 0 = -s + 2, -4 - 52 = -2*p - 3*s. Calculate the remainder when p is divided by h(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258345*o**5 - 2841801*o**4 + 2325171*o**3 + 2841741*o**2 - 2583516*o + 60 = 0.\nAnswer: -1, 2\/86115, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of r**3\/9 - 25*r**2\/6 - 26*r\/3 - 122. Factor x(u).\nAnswer: (u - 26)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 4*p - 4, -2*y + 0 = 5*p - 18 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - o - 2 + (0*o + 4*o - 6*o)*(0 + 3 - 4) + (4 - 2 - 5)*(4 - 3 + 1)*(7*o - 3*o - 2*o).\nAnswer: -11*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22326788?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*0.1\nAnswer: 0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -348634 by -11.\nAnswer: 31694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1666)\/6)\/17 + 11)*((-187)\/(-22) + -1)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 575.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/6)\/(-2)*3. Let h(w) = 2*w - 2. Let t be h(l). Suppose -2*d + 4 = -k, -2*k = -t*d - d + 5. Solve -6 = k*f - 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 615*a - 2. Let y(h) = -4*h. Give m(t) + 4*y(t).\nAnswer: 599*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of s**4\/12 - s**3\/2 + s**2 + s. Let m be r(3). Let g = 0 + m. Solve -c = g*c - 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 36\/20 - 5\/(-25). Let d be 2\/(-6) - 26\/(-6). Let s(o) = -d*o**3 - 6 + 1 + 3*o**3. What is s(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11112 + -211012?\nAnswer: -122200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-22)\/4)\/(1\/(-74)). Suppose 4*s - x - 77 = 0. Suppose 200 = 4*t + 3*a, -t + s = 2*t - 5*a. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4*l - 4*l + l**2 + 2*l. Let y be b(-2). Let g be 42*(-5)\/(15\/(-2)). Solve -6*o + 2*o - 4*x - g = y, -5*o = -2*x for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -9, 468 in decreasing order.\nAnswer: 468, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252449?\nAnswer: 252449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2017541 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/(o**(-2)\/o))\/o)**(-2\/131)\/(o*o**(-2)*o*o**(1\/12)))**24)**5 assuming o is positive.\nAnswer: o**(-2030\/131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-349690)\/(-119) - (-4)\/(-7). Suppose -z = 7*h - 11989. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/8069040 and 131\/4034520.\nAnswer: 8069040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 5 = -2*r, 0 = 3*s - 5*s - 4*r + 6 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-21)*((-10521)\/56)\/167?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6276, 12277, 17698, 22251, 25648?\nAnswer: 27601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 755*q - 609 = 357*q + 369*q for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 128 + -194. Let s = f - -71. Solve s*g - 13 + 3 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + 3*h - 24. Let q(g) = -g**3 - g**2 - 2*g - 2. Let u be (-4)\/(-3)*(-15)\/10. Let t be q(u). Solve -2*j - h = -t*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1573)\/(-11)*1141\/(-44499)?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 1:51 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*-1 - (-14)\/7. Let i(m) = 2*m**2 + 3*m - t + m**2 - m - 1. Let r(y) = 15*y**2 + 11*y - 11. Let w(h) = 11*i(h) - 2*r(h). Factor w(f).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.6 times 1\nAnswer: -7.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.413535523719 + -156?\nAnswer: -155.586464476281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 24, 66, 144, 264, 432, 654?\n\"Answer: k**3 + 12*k**2 - k + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 178 divided by -368734\nAnswer: -89\/184367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -205 (b) 5 (c) 1\/20 (d) 1 (e) 9\/25 (f) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5310 and 133560.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 897, 948, 1067, 1260, 1533, 1892, 2343?\nAnswer: 2892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + i = -0*z + 30, 5*i - 30 = -z. What is the greatest common factor of 12 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 132. Let d = 137 + n. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -290615 = -2458*y + 755*y - 30*y - 1686*y for y.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1740133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-13*7 - -2)\/(-1). Let m(b) = -77*b**2 + 2*b - 1. Let j be m(1). Let o = f - j. Calculate the greatest common divisor of 15 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1\/3, -10, 355?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145672 is divided by 209?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and -61864007477763.\nAnswer: -61864007477762.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39 + 32 - 71 - w - 7*w**2 to the form f*w**2 + l + b*w and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 650.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/2 + 7\/2. Let f be 2\/q + (-32)\/3. Let w = f - -13. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of 3\/2*j**3 + 4*j - 2\/5*j**5 - 1\/6*j**4 + 0 + j**2. Is z(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-1 + (6 - 6 - 0)) - -14.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**5\/4 + 1069*o**4\/2 + 57225*o**3\/4 + 120523*o**2 + 413996*o + 506640 = 0.\nAnswer: -2111, -15, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hdqahahrddadd. What is prob of picking 1 q, 1 r, and 1 a?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20557 - 20551 + 603*b**2 - 20560 + 61668.\nAnswer: 603*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 138 + -140. Let v be -14693 - 1 - (l + 8). What is v rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 + 6 - 4) + (-4)\/2. Let x be -1*10 + 1 + p + -5. Let w(n) = -19*n + 7. Is w(x) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 137*s**2 + 659*s - 144. What is h(-132)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -53\/14915 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2490 + 14793. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*sqrt(242) - (-1 + sqrt(242))*-3)**2 - (0 + -5 + ((sqrt(242) + sqrt(242)*1)**2 - sqrt(242)) + -4).\nAnswer: 341*sqrt(2) + 5100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -78 + 103. Is 10 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01361 to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1470367374 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d0dd - -d49?\nAnswer: 20048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6770)\/(-25))\/((-1)\/(-10)). Suppose -388 = -12*l + s. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ykzfkmvyf. What is prob of picking 1 f, 1 k, and 1 y?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*h = -2*h + 54 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 1814.\nAnswer: 14512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((860\/16)\/5)\/(-30*44\/(-5280))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-4)*62\/(-3). Let d = q + -22. Calculate the greatest common divisor of 72 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s - 3. Let m = -10 + 11. Suppose -2*j + 11 = m. Calculate q(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -1. Let w(a) = -3. Let p(x) = -11*o(x) + 4*w(x). Let r(j) = 3*j + 2. Let b(t) = -5*p(t) - r(t). Let v be b(2). Is -7 at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/5 (b) 1 (c) -1\/4 (d) -0.03 (e) -2 (f) -396\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3309\/4380 + 6\/(-8). Let j = 807\/730 - b. What is the common denominator of j and -79\/14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-7)\/(-14)*-2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9176000 rounded to the nearest one hundred thousand?\nAnswer: -9200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**3 + 3481*o**2 - 3488*o - 20892 = 0.\nAnswer: -3482, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p + 13. What is n(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1710 and 418.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000008452603 rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 0.23, -169?\nAnswer: -169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*m - 19, m = -3*m + 4*n + 16. Let v(o) = 3*o - 1. Let x be v(m). What is the greatest common divisor of 56 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 3)\/((-660)\/990). Put 0.5, p, 5\/3, -1, 2\/7 in decreasing order.\nAnswer: 5\/3, 0.5, 2\/7, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3993665765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vgbrgvtb. What is prob of picking 2 v?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 336*d + 339*d - 53*d**2 - 1 to the form f*d**2 + s*d + u and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**3 + 3*a**2 - 8*a + 3. Let q be j(3). Suppose -q = -27*s + 25*s. Let p = s - 6. What is the remainder when 143 is divided by p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1768*d - 23573 - 59523 = 0 for d.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/((-14)\/(-245))*(12 - 1).\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1553\/4 or 388?\nAnswer: 388","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*v = -1 - 139. Solve -v*k + 7 = -28 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - 2 - (-18 - -3). Suppose p = 2*c + 2*w - 23, -w + 4 = 0. Calculate the greatest common divisor of c and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9830d (base 16) in base 8?\nAnswer: -2301415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - 7 - -3 - -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-180))\/((-1)\/(-9))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 3 + 7*x**3 - 2*x**3 + 4*x**2 - 3*x**2 - 2*x**4 to k*x + u*x**4 + q*x**2 + b + o*x**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44368\/(-158061) + -2*1\/(-6)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 17644470, 17644458, 17644432, 17644386, 17644314?\n\"Answer: -u**3 - u**2 - 2*u + 17644474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -120475 by -11.\nAnswer: 120475\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 40 = -8. Let n(d) = 5*d**3 - 18*d**2 + 72*d - 4. What is the least common multiple of n(6) and u?\nAnswer: 3440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6435111 to the power of 1\/2, to the nearest integer?\nAnswer: 2537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - 12\/(-8)*2. Let -4*b**3 + 2 - 6*b**4 + b + 3*b - 5*b**4 + 9*b**k = 0. What is b?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, -0.5, -2\/13, -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + ((-21)\/(-8))\/(-7). What is the nearest to 0.1 in -0.4, -1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3631.\nAnswer: 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -71112071*k**4 - 150889*k**2 - 2*k - 127 wrt k.\nAnswer: -1706689704*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12937 + 39588 = 37*k - 15407. What is the lowest common multiple of 510 and k?\nAnswer: 9180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5333029?\nAnswer: 13, 410233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128310274.\nAnswer: 2, 64155137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -7*a**3 - a**2 + 4*a. Let x(p) = -p**3 + p. Let l(y) = -h(y) + 3*x(y). Let u be l(1). Suppose -148 - 8 = -u*o. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 210386\/((-1241)\/(-17))*(0 + 1\/(-12)). Put -3, -1\/2, y, -5 in decreasing order.\nAnswer: -1\/2, -3, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 52, 201, 450, 799, 1248, 1797?\n\"Answer: 50*l**2 - l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 176f54 (base 16) to base 7.\nAnswer: 16024430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -20 - -316?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**3 + 2*g**3 - 2*g**3)*(1 + 528*g**2 - 5643*g + 5643*g + 204*g**2).\nAnswer: -2196*g**5 - 3*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 476466 divided by -6.\nAnswer: -79411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3520) - (3*1*sqrt(3520) - sqrt(3520)))\/(-4*-2*sqrt(891)))**2.\nAnswer: 5\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22666346, 45332699, 67999052, 90665405, 113331758?\nAnswer: 135998111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3806*x**4 + 35*x**3 + x**2 - 8790414*x wrt x?\nAnswer: -45672*x**2 + 210*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 118, -296, -962, -1880, -3050?\nAnswer: -4472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-7)*-1)\/((-81)\/(-162))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-9)*3\/16. Which is greater: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 498*w**2 + 2295. Let k(y) = -y**2 + 3. Let z(g) = -2*c(g) + 22*k(g). Differentiate z(d) with respect to d.\nAnswer: -2036*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6281297373 to the power of 1\/2, to the nearest integer?\nAnswer: 79255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*f + 225*f - 120*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - -6. What is the remainder when 1*(1 + 1) + (-39)\/(-1) is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 + 497\/15. Let r = -15.88 + 10.88. Which is the closest to 2? (a) j (b) 1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 - -2 - (-3 - (-1 + 3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16214663 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: 3 divided by 11808506\nAnswer: 3\/11808506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of g**4 - 10*g**3 + 99*g**2 - 89*g + 1760685 wrt g?\nAnswer: 4*g**3 - 30*g**2 + 198*g - 89","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -126210 and -13.926.\nAnswer: 1757600.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*y - 16 - 5 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.02, -3\/4, -0.05, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -5*h - 3*t + 28, -95 = -4*h + 5*t. Let k(m) = -36*m**2 + m. Let c be k(1). Let w be ((-4)\/5)\/(c\/h). What is the nearest to -0.1 in 2, -1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 3*b - 3*b)*(-4*b - 4*b + 6*b + (-2 - 3 + 6)*(b + 0*b - 2*b) + (-1 + 2 + 7)*(4*b + 2*b - 4*b) - 14 + 14 + 3*b).\nAnswer: 32*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + 0)*-4.\nAnswer: -24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(6*sqrt(11)*2).\nAnswer: sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -571 - 429\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence evh when three letters picked without replacement from {m: 1, v: 2, s: 4, e: 3, a: 2, h: 8}?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2761 + -696. What is the third derivative of 16*k**2 + 28*k**2 + w*k**3 - 1985*k**3 wrt k?\nAnswer: 480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three tenths of a millennium?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 68392308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 62266.72ng?\nAnswer: 0.06226672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 3*t - 2*t + 2*t + t - 2*t + (0 - 4 + 2)*(-3*t + t + t) + 0*t + 3*t + 11*t)*(-t**4 + 0*t**4 + 0*t**4).\nAnswer: -15*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -5, 3, -3 in descending order.\nAnswer: 5, 4, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -364733, -364739, -364745, -364751, -364757?\nAnswer: -364763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 8*a**2 + 7*a - 16. Let g be t(-9). Suppose 0 = 4*v - w + 31, 0*v - 6 = v - g*w. Let q(d) = -d**2 - 10*d - 11. Calculate q(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -49?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-8)\/(-24)*1\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 8 = -3*s, t + 33*s + 18 = 38*s. Put 37, 1, t, -2 in decreasing order.\nAnswer: 37, t, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r - 5*r + 7*r**4)*(4 + 5 + 4)*(4*r - 4*r - r).\nAnswer: -91*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 0*v**3 - 3*v**3 + 4*v**4 + 2*v**2 + v**3 + 11 to f + q*v**4 + l*v**3 + p*v**2 + c*v and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + -3 - -2) + -5 + 6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/(-6) - 58\/(-66) and ((-123)\/12 - 3)*-2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6105 is divided by 23?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 6*o = 5*t - 10, 5*o + 25 = 0. Solve 0*v - 10 = t*p + v, 2*p + v + 1 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**4 + 155*k**3 - 325*k**2 + 165*k.\nAnswer: 5*k*(k - 1)**2*(k + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 14 = -k - 0*y, -5 = -4*k + y. Suppose k*n + 1 = 7. Factor n*l**3 - 2*l**3 + 0*l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1490.682*-3.9\nAnswer: 5813.6598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7526034547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2447342047?\nAnswer: 2447342047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -580 and 29276 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 12*v**2 - 5*v. Let l(y) = -4*y**2 + 2*y. Determine -3*i(p) - 8*l(p).\nAnswer: -4*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/75 of a day?\nAnswer: 2304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1183*j - 106 + 62 - 2322 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84665 is divided by 2419.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -121.6 times -2249.28?\nAnswer: 273512.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 11*q + 177. Suppose 15*c - 66 = -306. What is p(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, -3, -368, 3 in descending order.\nAnswer: 3, -3, -47, -368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b - 16*b**2 + 2*b**3 + 3*b - b**4 + 10*b**2 as a*b**3 + k*b**2 + t*b + r + j*b**4 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6899675951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - 10*i + 6. Let m be h(9). Let f be 1 + (-700)\/(m - 1). What is the common denominator of 27\/24*f\/12 and -51\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 4:04 PM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**3 + 0*s + 0*s + (2*s - 4*s + s)*(2*s**2 - s**2 + 0*s**2) - 16*s**2 - 6*s**3 - 28*s**3 + 16*s**2.\nAnswer: -37*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**2. Let w(v) = -12*v**2. Let i(m) = 2*m**2. Let h(q) = 39*i(q) + 6*w(q). What is a(h(o))?\nAnswer: 72*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 28963 (b) 40 (c) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a minute in milliseconds?\nAnswer: 70000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 253\/5 - 108\/180. Suppose 3*s = 4*s - l. Which is smaller: 49 or s?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32464 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/240 + -9 + (-637)\/(-65) and 167\/480?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22137808?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (45 - (51 + -23)) + -36\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25962 = 7*g - 8205. What is the hundreds digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 515 - 354. What are the prime factors of m?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (44\/(-8) + -3)\/(1\/(-2)). Let m(o) = 50*o - 55. What is the units digit of m(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-1))**(-4\/9)*((m*m\/(m\/((m\/(m\/(m**(-2\/7)*m*m)))\/m)))\/m)\/m**(3\/2) assuming m is positive.\nAnswer: m**(-11\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1053077111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p + 1. Let k(d) = -d**3 - 3*d**2 + d + 1. Suppose -22*i - 435 = -27*i. Let n = i - 88. Give n*z(r) + k(r).\nAnswer: -r**3 - 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/5*(-75)\/10. Suppose 2*g - 4*y + r*y = 19, 20 = 4*y. Let z = 7 - 7. Is g >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kffkkkkkkkkkfkkkfk. What is prob of picking 4 k?\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mhhh when four letters picked without replacement from {m: 1, j: 4, h: 3}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p**2. Let v(n) = 4037320*n. Determine q(v(a)).\nAnswer: -48899858347200*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -2, -82, -13, 69, -5 in descending order.\nAnswer: 69, 2, -1, -2, -5, -13, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.069 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3881.\nAnswer: 3881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-255)\/(-10)*(-1810)\/(-2715)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -491\/70 + 18\/35. Which is smaller: -8 or d?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -316*h**4 + 40*h**3*w - 2*h**2 - 2*h*w - 2*h - w - 1073 wrt h?\nAnswer: -3792*h**2 + 240*h*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3*q + 626 = -7*q, 3*r + q - 616 = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57904, 57903, 57902, 57901, 57900?\nAnswer: 57899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (2 + -35 + -17 + 20 + -16 + 21).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - (-9)\/(-4 + 1). Let m(i) = i**2 - i - 3. What is m(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2138813 times -8\nAnswer: 17110504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3. Let c be 38\/190 - (4\/(-20))\/(-1). Let b(o) be the second derivative of -2*o + 0 + 0*o**2 + 0*o**3 + c*o**4 - 1\/5*o**5. Give -b(i) - 5*l(i).\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h - 1. Let m = 26 - 24. Let g(k) = k**2 - 2*k + 5. Let p be g(m). Give j(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-44 + 20 + 20 + w)*(22 - 22 - 10*w) - 24*w**2 + 47*w**2 + 31*w**2 to n*w + z + k*w**2 and give n.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 47 and 7?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/(-4))\/((-15)\/(-35)))\/((-3)\/12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - -22 - (-25)\/((-1)\/(6\/(-3)))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**3 + 0*x**3 + 3*x**3)*(6*x - 3*x - 2*x) - 18*x**4 + 6*x**4 - 6*x**4 + (-x - x**2 + x)*(x**2 - 3 + 3).\nAnswer: -17*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(5 + 5 + -11). Is (25\/(-5) - l)*-96 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1174 + 17a?\nAnswer: -ffa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1307\/56 - -189\/8. What is the closest to 2\/9 in m, 1, 5\/11?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -15, -34, -53, -66, -67, -50, -9?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 11*c**2 - 6*c - 18. Let y be g(-11). What is the highest common divisor of 12 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/15792 and 121\/24?\nAnswer: 15792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.518197979 rounded to three decimal places?\nAnswer: -0.518","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1030.28 - -1014. Let q = 0.88 + p. What is q rounded to zero decimal places?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 15\/4 of a milligram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 2550?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1381440)\/(-302190)*(-14)\/16*-6.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 9580*p**2 + 66*p - 11. Is j(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3131112 + 11?\nAnswer: -3131101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = v + 428, 3*k - 231 = -4*v + 109. Calculate the remainder when k is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -q + 4*q - 27, -4*q = -3*y - 1. Suppose 4 = -i + 3*x - 1, y*x = -4*i - 3. Are i and -5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3774 + -3722. What is the greatest common factor of 2548 and h?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24587004 divided by -2?\nAnswer: 12293502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 49531219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of 0 - 4600*m**2 - 10*m + 1\/12*m**4 - 1\/2*m**3. Let v be f(0). Round v to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122163721 to the power of 1\/2, to the nearest integer?\nAnswer: 11053","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 2*v - 16, -3*v + 14 = -0*u + 4*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-86 - -217) + -255 + 257?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*o = 15*o - 4*o. Sort o, 3, -6621 in descending order.\nAnswer: 3, o, -6621","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -97 + 107 - (0 + 8)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1150.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.17? (a) -2\/9 (b) -4\/7 (c) 2\/19 (d) -8 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 56595\/16 - 3539. Is -3 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24784 (base 11) to base 13.\nAnswer: 13243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + (-14)\/(-6))*-6. Suppose -3*l = -l - p. What is r in 3*r**2 + 3*r - 4*r**2 - l + 0 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*x - 2*x + 2*x)*(9*x + 4*x - 6*x)*(2*x - 1 + 1) as y*x**2 + c*x + b + s*x**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -24*a**2 + 13*a + 9. Let s(l) = 6*l**2 - 3*l - 2. Let d(c) = 9*s(c) + 2*y(c). Is d(-1) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 75\/6 - (-4)\/2. Let v = p - 15. Suppose 18*j = -199 + 271. Sort j, -3, v in descending order.\nAnswer: j, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104345, -104349, -104353, -104357, -104361, -104365?\nAnswer: -104369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/9 - 285460*f\/3 + 10185926450.\nAnswer: 2*(f - 214095)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127494*x**2 - 3*x - 125468*x**2 + 3*x.\nAnswer: 2026*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 13\/62 (b) -5 (c) -0.055\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 35. Suppose 11*b = 15*b - 440. What is the greatest common factor of b and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 4085*t - 4 + 2 - 4066*t.\nAnswer: 19*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43.56 + -0.54. Round q to the nearest integer.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 11:27 AM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, 18, -4\/5, -244, -6?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -75*(-70)\/(-1050)*118\/10?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*((-22)\/(-4) + -4) + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 - (-7848)\/(-280) - 42\/30 - (-82)\/56?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*g + 18 = 21 + 143. Solve -92*c = -89*c - g*k + 18, c - 2*k = -10 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2623145, 2623123, 2623101, 2623079, 2623057, 2623035?\nAnswer: 2623013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 42492060 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 38906994 = 2*t, 0 = 2*r + t + 21537379 + 4400624. Round r to the nearest one hundred thousand.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 3, 21, 6\/11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 2*y = 0, 5*r - 2*y - 1509 = -y + 5*y - 1584 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 872 divide 2370096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 87*k**3 - 4 + 3 - k - k**2 - 103*k**3. What are the prime factors of n(-1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -515 = 3*w - k, 2*w + 2*k + 446 = 116. What is the units digit of (-2)\/17 + (-14980)\/w + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {s: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/111996 and -89\/922320?\nAnswer: 15679440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -1\/2 (c) -4\/5 (d) -4.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g**2 - 5. Let n(p) = 9*p**2 + 14. Give -11*i(x) - 4*n(x).\nAnswer: -3*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 4*q**2 - q - 1. Let g be b(-4). Suppose -34 - 2 = -g*j. Let h = j - 2. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmujwau. What is prob of sequence mw?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23488*d**4 + 19234*d**3 + 3*d**2 - 80648051.\nAnswer: -563712*d + 115404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35456, -35388, -35322, -35252, -35172, -35076, -34958, -34812?\nAnswer: -34632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 48047569 to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 496 = 2*q + 4*t - 12824, -5*q = 5*t - 33315. Is q a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 1407824\nAnswer: 5\/1407824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 6:37 AM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a + 4*i + 62 = 0, 0*a + a = -2*i - 11 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -40*p**3 - 8*p + 18. Let q(s) = 13*s**3 + 3*s - 6. Let d(v) = 6*m(v) + 17*q(v). What is the second derivative of d(u) wrt u?\nAnswer: -114*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 615487727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-35))\/((-4)\/5)*(-2898)\/552?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7000453549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 7*y - 2*y + 40 = 0, -4*k + y = -42. Suppose -5*z - k = 0, -2 = q - 2*z - 11. Solve a - q*r - 4 = -4*r, 3*a = 5*r + 16 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1216 and 633536?\nAnswer: 1216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 56*w - 381. Let j be c(7). Suppose -7*s - 5*v = -2*s - 65, 4*v = -2*s + 30. Is j less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z + 42 - 46 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 26 + -2 + 0 - (-22 - -20). Solve a + 29 = d for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 29 = 2*o - 5*y - 10, -3*o - 194 = 5*y - 127 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 137429, 137973, 138873, 140123, 141717, 143649, 145913, 148503?\nAnswer: 151413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*t + 4*t, 4*t = 4*q - 164. Suppose 2*x = 56 - q. Calculate the remainder when 565 is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hd when two letters picked without replacement from hdhhd?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/365 and -21\/5.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (238\/(-35) - -7)*10. Let l(i) = 4*i**2 - 4*i - 2. Let h be 2 + (-1 - 2) + 3. Let g(s) = 3 + 13*s - 13*s**h - 3 + 7. Calculate d*g(q) + 7*l(q).\nAnswer: 2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*g - 19 - 9 + 341 = -2*l - 109, g = -0*g - 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000478986069 rounded to 6 decimal places?\nAnswer: -0.000479","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 8*n - 144 = 0. What is the greatest common divisor of 24 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/15 and -3\/11.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11367501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 494.6565 litres in millilitres?\nAnswer: 494656.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2. Let c(i) = 3*i + 89. Determine c(p(z)).\nAnswer: 3*z**2 + 89","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2840 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**3 + 4*a**2 - 5*a - 3. Let j(s) = 2*s + 3 - 2*s**2 - s**2 + s**3 - 1 + 2*s. Let k = -102 - -105. Determine k*i(d) + 4*j(d).\nAnswer: -2*d**3 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32895724?\nAnswer: 2, 317, 25943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*c**3\/3 - 57*c**2 + 76*c - 52\/3.\nAnswer: (c - 2)*(5*c - 13)*(7*c - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-4))\/(320\/(-768))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**3 + 2*t**3 + 9 + t**3 - 2*t**3.\nAnswer: -2*t**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10592*q + 1089*q = 6692 + 7640 + 9030 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 358659844.\nAnswer: 2, 67, 461, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-3) + (-3 - -1). Let r = -18 - -14. Let o be (-1*(-2)\/r)\/1. What is the nearest to o in 0.5, z, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 27\/2 of a gram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1747 != 1745?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -10023671 to the nearest 100000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 907611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03232547 rounded to three decimal places?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18629\/1026 + 5\/513. Find the common denominator of 1\/4*518\/(-35) and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32476645 rounded to the nearest one million?\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12214 - 12093.63. Let p = 121 - m. Round p to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 276 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 6*k - 3*k = -1, -3*k = 4*h - 7. Suppose l = h*a - 79, -3*l - a = -97 + 269. Let r = l - -65. Is r a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 g when two letters picked without replacement from kgoar.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i + 5451 + 7*i - 5451 - 2*i.\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.004 and 5.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -c**5\/50 + c**4\/10 - c**3\/5 + 27*c**2. Factor u(v).\nAnswer: -6*(v - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1110 is divided by 164?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**(-7))**(30\/11)\/(l\/(((l**(2\/5)*l)\/l)\/l)*l**(6\/19)*l) assuming l is positive.\nAnswer: l**(22603\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, m: 3, e: 1}. What is prob of picking 1 m, 1 e, and 1 y?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 255.2 - 254.9. Sort 2, y, -3, 0.4, 3 in decreasing order.\nAnswer: 3, 2, 0.4, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((34452\/(-1089))\/(-58))\/((-6)\/(-1))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 5:22 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 170519, 341038, 511557?\n\"Answer: 170519*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 356? (a) 5\/4 (b) -2\/5 (c) -2\/23 (d) -0.146 (e) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppbb when four letters picked without replacement from {b: 8, p: 3}?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 424479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - l**2 + 21*l - 6. Let f be o(4). Let a(t) = 4*t + 2. Let g = -1 - 4. Let h(q) = -9*q - 5. Give f*h(v) + g*a(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 3. Let a be h\/(-5) - (-216)\/(-440). Suppose 0 = -y - 2*i + 6*i + 9, y + 9 = -5*i. Is a bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**10\/((w**(2\/23)*w)\/w*w))**(1\/4) assuming w is positive.\nAnswer: w**(205\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/35 + 16\/7. Suppose -4*d + 459 = -x, 49 = d + b*x - 68. Suppose z + 4*k = d, 2*z - k - 180 = k. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1154, 2395, 3646, 4913, 6202, 7519, 8870, 10261?\n\"Answer: o**3 - o**2 + 1237*o - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91059078*p**3 + 91059077*p**3 + 632*p**2 - 632*p**2.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*f**2 + 29*f**2 - 2*f**2.\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1584 and 351?\nAnswer: 555984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3*(sqrt(17)*-1)**2*-4.\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 bigger than 188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -719.2456 - -778.98. Let b = f - 60. What is b rounded to 2 dps?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5804583206 and 136.6.\nAnswer: 5804583342.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j - 3*k + 30, 4*k + 0*k = -j + 17 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/((-15)\/(-25)))\/(3\/6). Solve 4*q - 2*q = -o - i, -5*o - 4*q = 32 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -12, 88, 4, -48\/11, -8\/7, 1\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)*4*-3 - sqrt(102))\/sqrt(2))\/(sqrt(15)\/(-4*sqrt(720) + sqrt(720))).\nAnswer: 468*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -126.9909 - -127. What is f rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 13 + 6*r)*(-8*r**2 - 3*r**2 + 2*r**2) + 0*r + 0*r - 2*r**3 - 4*r**3 + 36*r**3 - 2*r**3.\nAnswer: -26*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 3) + 4 + 2 + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3906 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/1)\/((-2)\/((-4)\/(-4)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x + 1. Let o(l) = l**2 - 13*l - 15. Let v(a) = 2*o(a) - 10*p(a). Find h such that v(h) = 0.\nAnswer: -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 2)*(-6*i + 0*i + 2*i) + 7*i - 3*i - 2*i + (2 - 1 - 2)*(-i - 3*i - i) to the form f*i + d and give f.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.16527 and -0.4.\nAnswer: 0.466108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -4\/5, -0.5, 1\/7, 4 in decreasing order.\nAnswer: 4, 1\/3, 1\/7, -0.5, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 195aa74 (base 11) in base 5?\nAnswer: 1321340301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of 1\/1050*h**7 + 7*h**2 + 1\/120*h**6 + 0 + 7\/120*h**4 + 0*h + 3\/100*h**5 + 1\/15*h**3. What is w in f(w) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 2.7 (b) -0.4 (c) 138 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(((-4)\/8)\/(1\/3)). Let g be (10\/6 - v) + 185\/15. Solve 7*h - g = 4*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) -138 (c) -1 (d) 0.4 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -636 - 76*l - 374 - 409 - 157*l + 75*l. Determine m(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -198\/43 - 1537\/516. Calculate the common denominator of a and -3\/58.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270202421.\nAnswer: 691, 391031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5026070099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of f**4\/12 + f**2 - 811*f. Let j(b) = 2*b. What is z(j(k))?\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 676569 divided by 6\nAnswer: 225523\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**1\/c*c)\/(((c*(c\/(c*c**(-4)*c))\/c)\/c*c)\/c))**37)**(-47) assuming c is positive.\nAnswer: c**1739","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 9*k - 65 = 0, 2*h - 3*k + 26 = 51 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*j + 537 - 3102 = 0. Suppose -2*h - 2*a = h - 12, 3*h + 3 = 3*a. Which is smaller: h or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3201 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/2 + (-24)\/(-6). What is the tens digit of 1*(-1 - c) - (-125 + 25)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 149796 and 3796.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.733 - 0.102. Let y = m - 0.165. What is the third smallest value in y, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-13)\/6 + 22 + -20. What is the closest to 1\/4 in -4, -5, -1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37429143, 37429155, 37429167?\nAnswer: 37429179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/9 (b) -0.1 (c) 1232 (d) -25\/14 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -24*u + 4. Let k(n) = -1. Suppose -5*x = 4*b + 17, -85*x + 3*b = -86*x - 10. Determine x*v(s) - 5*k(s).\nAnswer: 24*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1222220111 - 20221?\nAnswer: -2000011102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f = -15*f - 16. What is the remainder when ((-425)\/10)\/(2\/(-4)) is divided by -3 + (18 - f) - (-3)\/1?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-23 + 16 + -15 + -2).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of w**6\/1800 - 7*w**5\/75 + 98*w**4\/15 - 20*w**3\/3 - 29. Let s(k) be the third derivative of v(k). Factor s(p).\nAnswer: (p - 28)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20368605*v**2 - 10184311*v**2 - 10184300*v**2.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 2, 58, -204, -5 in decreasing order.\nAnswer: 58, 2, -5, -13, -204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(720) + sqrt(720) + 0 + 0 + (sqrt(720) - sqrt(720)*2) + 0)*-4)**2.\nAnswer: -384*sqrt(5) + 11536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l - 2. Let z be 1 - (0 - (-4)\/(-2)). Let q be c(z). Suppose 2*n - 7 = q. Let f(r) = -4*r - 9. Let j(t) = 2*t + 4. Calculate n*f(g) + 9*j(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0.5, 0.3, 0.11 in decreasing order.\nAnswer: 0.5, 0.3, 0.11, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22810*l + 5*h - 33 = -22808*l, -5*h + 25 = -0*h for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 568769 and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3 - 33*y**2 + 78*y - 48.\nAnswer: 3*(y - 8)*(y - 2)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - 6*d + 0*d)*(-2 + 4 - 3)*(0*d + 0*d - 3*d)*(1 - 4*d**3 - 1).\nAnswer: 72*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (4813 - 4822)*(57\/(-27) - (-1)\/1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 3*i = -9*i. Sort 35, i, -2 in ascending order.\nAnswer: -2, i, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52067326691 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (1 - (3 + (3 - 3)))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 422 a factor of 140957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -58*u**3 - 29*u**2. Let g(y) be the third derivative of y**6\/120 + y**5\/60 - 1511*y**2. Determine -29*g(q) - n(q).\nAnswer: 29*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 a factor of 57275476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-5 + sqrt(72))*-2)**2*-6.\nAnswer: -2454 + 1584*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 3) in base 15?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50 + 52.09. Round x to one dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vjjjjvjjjjj. What is prob of picking 1 v and 1 j?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 2. Let p be 318\/820*(2 + -1). Let f = 1\/82 + p. Is t >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) -0.4 (b) 2\/5 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -123 * 25.9.\nAnswer: -3185.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -81 + 32. Suppose 165 = 62*i - j*i. Solve u + 2 = i*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -2*w - 605310. Let b = 652657 - w. Let j be b\/(-10) - 2\/(-10). What is j rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 34*z - 294. Let r(i) = -12*i + 105. Let f(t) = 14*r(t) + 5*y(t). Let m(g) = 1403*g. What is m(f(a))?\nAnswer: 2806*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 28, 11\/5, -2?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 58 (base 16) to base 3\nAnswer: 10021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -23553458 bigger than -23553465?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 6:14 AM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40250068 to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(((-2)\/6)\/(-7*2\/(-84)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 23 = 11. Suppose -3*g - 6 + 18 = 0. Let t = 67\/12 - 25\/4. What is the closest to t in g, i, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12182 + -219403\/18. Calculate the common denominator of 3277\/(-7458) + (-6)\/(-4) and u.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 10 + 2. Solve -2*w + 0 = -i for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36404\/7 + -406114\/77. Let a = b - -74. Is a less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - l + 1. Let u = -8500 + 8499. Let j(b) = 1. Calculate u*j(d) + 3*z(d).\nAnswer: -3*d**3 - 3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16046\/(-22) - 9\/3. Let x = 733 + b. Let i = -3\/22 + x. What is the biggest value in i, 1\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1957914 + -1957908.911345. Let u = 7.0886558 - t. Let b = 2 - u. Round b to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -22*n - 1. Let l be b(-3). Let h = l - 46. Calculate the remainder when h is divided by (-1 - 20)*1\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 4. Suppose 0 = 2*n - 5*n - b. Calculate the common denominator of 65\/12 and n + -1 + (-42)\/44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of 101*i**4\/4 - 685*i**3\/6 + 352*i. Find the second derivative of g(h) wrt h.\nAnswer: 606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**6\/(a**(-1\/8)*a*a)*((a\/a**(-1\/2))\/a)\/(a*a**(1\/5)))\/((a*a**(-2))\/a*a*a*a\/a**(1\/4))**(-41) assuming a is positive.\nAnswer: a**(1367\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 657?\nAnswer: 657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 9*o - 5. Let q(a) be the second derivative of 49*a**3\/6 - 14*a**2 - 85*a. What is 28*p(n) - 5*q(n)?\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 46*w**3 - 34*w**2 - 2*w + 32. Is x(5) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2513176693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10388, -21512, -33370, -45962?\nAnswer: -59288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 33 (b) 0.03 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**2 - 12*n - 19*n - 3 + 63*n - 15*n - 20*n as t + h*n + v*n**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4616 is divided by 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3a + -88?\nAnswer: -c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4)\/7 - (-4879)\/49 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.376132 rounded to two dps?\nAnswer: -5.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -10944 - 1716.91\nAnswer: -12660.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2035 is divided by 97?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 414 and 15?\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 15 + 2 = 4*u, -3*u + 8 = 4*x. Suppose -u*h + 504 = -h. Calculate the highest common factor of h and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -27*o**2\/2 - 30. Let d(t) = -t. Determine l(d(s)).\nAnswer: 27*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -7*f**2 + 384*f - 2404. What is o(32)?\nAnswer: 2716","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -4*r - 53, r - 4*g + 20 = -g. Let t(c) = c**2 + 11*c + 10. What is the remainder when t(r) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ywo when three letters picked without replacement from {o: 12, y: 1, w: 1}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*y - w = -46, 3*w - 52 - 230 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26280573443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 2 - 4, 2*l + 9 = 5*k. Suppose 4*i = 4*u, 4*u - i - 16 = -k. Suppose 0 = 26*v - 29*v. Solve w = -w - d - 3, v = -u*d - 15 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7911681 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(76) + 1 - -3*sqrt(76)*5)**2.\nAnswer: -128*sqrt(19) + 19460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -127\/4 - -216\/7. Find the common denominator of -23\/735 and r.\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5870\/7 - 19864\/21. Let k = 108 + v. Which is the fourth biggest value? (a) k (b) -8 (c) -2\/9 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 47 = 42. Suppose -f - 2*p - 3 = 4, 4*f + s*p + 22 = 0. Let x(k) = -48*k + 10. What are the prime factors of x(f)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2562 - 1067. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/n**(-7\/6)))\/(((n\/n**(-3\/5))\/n)\/n))**(-3\/28) assuming n is positive.\nAnswer: n**(23\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**3\/2 - 156831*i**2 + 10976871*i\/2 + 11604199 = 0?\nAnswer: -2, 37, 313627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 36226712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8198507 is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1269 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((13 - 12) + 4\/(-5))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p + 4*p + 0*p + 29*p.\nAnswer: 31*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -127560674.\nAnswer: 63780337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(350) - sqrt(350)*-3*-4)\/sqrt(7))**2 - (-5 + (sqrt(50) - (-4 + (sqrt(50) + sqrt(600)\/sqrt(12) - sqrt(50)))**2))) + 5.\nAnswer: -45*sqrt(2) + 6126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 269513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12453080 a multiple of 2165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3\/2 - -25\/14. Put -2, 1.2, g in decreasing order.\nAnswer: 1.2, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 180\/63 + (-2)\/(-14). Solve -2*i = -3*j - 4, -i - s*j + 7 = -2*j for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5766 - 40361\/7. Which is the closest to -1\/32? (a) -3\/7 (b) v (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 366 a factor of 2094252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4031 is divided by 64?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 20?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-4*(-21)\/924*-253?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11213 (base 5) to base 7\nAnswer: 2233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/12*(4 - 7). Solve -l - 2*k = 6, -j*k - 1 = 9 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1049482 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.167 - -7.62. Round q to two decimal places.\nAnswer: 0.45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -147 in 0.14, 1\/3, -55?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -579907, -579830, -579753, -579676, -579599, -579522?\nAnswer: -579445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4*w. Let c(m) = -7*m. Let y(l) = -2*l. Let d(s) = -2*c(s) + 9*y(s). Let z(i) = -i**2 + 8*i + 12. Let g be z(9). Determine g*j(n) + 2*d(n).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 227673 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 7)*2\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 5*g**3\/4 + 9025*g**2\/4 + 387195*g\/4 - 396225\/4 = 0.\nAnswer: -1761, -45, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 478462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42576, 42591, 42612, 42639?\nAnswer: 42672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6142 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (36 - (-42 + 11)) + -132\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z + 2*z**3 + 0*z + (z + 0 + 0)*(2*z**2 + z - z) - 113*z**2 - 77*z**3 + 113*z**2 - 11*z + 6*z**3 + 11*z.\nAnswer: -67*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 equal to 5\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39699903.\nAnswer: 3, 199, 66499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + n - 160. Suppose -4*a + n = -0*a. Let s = 826 + -822. Calculate the greatest common divisor of a and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.6 + 2.7. What is the nearest to -0.1 in u, 1\/3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -51 or -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g + 50. Calculate q(24).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -3*v + 5*a - 401, 2*v + 5*a + 234 = 0. Let y = 32 - v. What is the lowest common multiple of y and 3?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*l + 6142611 = 13*l + 5*l. Is 193 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(-2)\/3*-30. Suppose -157 = -4*f + 5*m, -4*m = -0*m - 12. Let t = h - f. Put 0.2, -2, t, 2 in ascending order.\nAnswer: t, -2, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.3 times -111003.45\nAnswer: -255307.935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 305 and 1159?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 927.3 and -65788.\nAnswer: -64860.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -382332 - -865349. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2793 = -4*b, b - 41*a = -36*a + 694. Calculate the remainder when b is divided by 136.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -5*b**3 + 11*b**2 - 4*b - 6. Let g(u) = u**3 - u**2. Let y(w) = -a(w) - 4*g(w). Determine y(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -321 + 340. Suppose -b - 23*l + 5 = -z*l, 0 = -3*b + 5*l - 2. Solve -2*g - b + 7 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b\/(b\/b**(-4))*b*b)\/b))**(10\/9)*(b*b**(-3))**5)**(2\/19) assuming b is positive.\nAnswer: b**(-100\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -6*x**2 - 48*x - 192. Let l(o) be the third derivative of -11*o**5\/60 - 4*o**4 - 64*o**3 - o**2 - 6. Let n(r) = 3*l(r) - 5*v(r). Factor n(h).\nAnswer: -3*(h + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 - 28498*z**2 - 28496*z.\nAnswer: -2*z*(z + 1)*(z + 14248)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + sqrt(1200)) - (0 + -1 + sqrt(768))**2.\nAnswer: -769 - 68*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4140021 (base 6) in base 8?\nAnswer: 605655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 378\/(-216)*6\/7*40\/(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11.35097 from -3.\nAnswer: -14.35097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4*m + 218. Calculate r(-24).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 + -17. Find the second derivative of -31*h**3 + 17*h**3 - 23*h**3 - u*h**3 - 42*h wrt h.\nAnswer: -246*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + b + 4*b = -728, -l = 3*b - 720. Let f = -211 + l. Does 14 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 27*h**2*u + 4608*h**2 + 137*u - 2 wrt u?\nAnswer: 27*h**2 + 137","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2184343528?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 722274266?\nAnswer: 2, 7, 51591019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11681236 is divided by 182519.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 119621072 to the nearest integer?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -3, 0.5, 12, -16?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 19 = 55*l - 56*l, -11*k + 72 = l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 18. Let d = 25731.5 + -25732. What is the second biggest value in -1\/3, d, 2\/7, n?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 217005093 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-1) - (-311 + 0). Calculate the highest common factor of 4 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tx when two letters picked without replacement from {t: 1, b: 1, x: 1, p: 1, j: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/10)\/(5\/25). Suppose -w*l = -100 - 146. Calculate the remainder when l is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-2\/3))**(-35))**9)**(-27) assuming c is positive.\nAnswer: c**(-5670)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -1288158*d + 264. Let k be g(8). What is k rounded to the nearest 100000?\nAnswer: -10300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11020302 + 21131?\nAnswer: -10333111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 185124 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -35*t + 64. Suppose 15*m + t*m = 10608. What are the prime factors of m?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -2*p + 31. Suppose p*n - 41*n = -2. Let s(d) be the third derivative of d**6\/40 + d**5\/60 - d**3\/6 - d**2. Calculate s(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 393 and 245625.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**4*l*m + 2*k**4 - 7*k**2*v - 2*k*l + 3*k*m*v + 2*k*m + k + l*v wrt k?\nAnswer: -24*k**2*l*m + 24*k**2 - 14*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*y + y = -29, -8 = 2*y. Suppose -5*j = o*v - 9, v = -2*j - 2*v. Calculate the greatest common divisor of j and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4452535 - 22355?\nAnswer: -4515334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 85, 111, 137, 163?\n\"Answer: 26*s + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**2 + 120*a + 344. Determine j(63).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5 = -3*f. Calculate the remainder when 1*(0 + -1 - -18) is divided by ((-5)\/f)\/(4\/40).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 2*z**2 + 38*z + 6. Give x(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 443446499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 6 = 2*c, 33*c - i = 35*c + 6 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*w**3 - 42*w**2 - 35*w**2 - w**3 + w - 5*w**3 + 12*w**2 to u*w + s*w**3 + m*w**2 + j and give m.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaanaaanaaaa. Give prob of picking 1 n and 1 a.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -m**6\/120 - m**5\/15 - m**4\/12 - m**3\/2 + m**2 - m. Let n(f) be the first derivative of d(f). Let g = 119 + -123. Give n(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-12) + 3\/(-4). Let l = z - -6. What is the second derivative of 2*o**5 - o**l + o + 0*o wrt o?\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13985\/7 + -1998. Put -1.46, -0.2, o, -0.08, -2\/3 in ascending order.\nAnswer: -1.46, -2\/3, -0.2, o, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*z + 3*y + 32, 89 = 3*z + 2*y. Let d = z + -23. Suppose -c = 2*h - 3, -5*h + 0*h + 14 = -d*c. Does 2\/15 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.6 - 0.72. Let q = 1.18 - w. Let s = 1 - q. Is s at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1110111000100101 (base 2) to base 16\nAnswer: ee25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 53*q - 19151 + 20264 for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 18145, 3\/2, 6?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 24?\nAnswer: -9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/(-30*(-29)\/435)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/2)\/((150\/2790)\/((-5)\/(-9)))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 3*w + 13. Let p = 21 - w. Is 820 + (-2)\/p + 2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*u + 132 = 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 242.2774cm to meters.\nAnswer: 2.422774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 3162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 386*u**2 + 3863*u + 15. Calculate x(-10).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -0.07.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -4*i - 343, -5*o - 3*i = -4*i - 549. Let f = -68 + o. Calculate the remainder when f is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43.6 + -159.6. Are s and 1\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*p + 6*p + 3303. Let s = 129 + p. Suppose -3*f + s = w + 3*w, -f - 3*w + 162 = 0. What is the greatest common factor of 21 and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 13542, 27041, 40494, 53901, 67262, 80577, 93846?\n\"Answer: -23*t**2 + 13568*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 2*g - 6. Suppose -m + 12 = -31*p + 27*p, 0 = -4*m - 4*p + 8. Let w be c(m). Solve 8 = -3*a + w*h, a + 4*h = -2*a + 16 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -199072 or -308?\nAnswer: -199072","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -307114 by 153557.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (5 - -4) - -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 4*m**2 - m. Let i be q(-4). Let o = -11 + 16. Which is the third smallest value? (a) o (b) i (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.6 + -4.1. What is the second smallest value in 0.12, -5\/3, k?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-6)*(-15)\/(-5)*-1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92604594.\nAnswer: 2, 3, 19, 83, 9787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**4 - 8*d**3 - 7*d - 75 wrt d.\nAnswer: 24*d**2 - 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/3)\/(-18))\/((-3)\/(-36))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 562740037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**2 - 40*o - 45*o + 5*o**2 - 49*o + 135*o.\nAnswer: 2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 5*y**2 - y - 6. Let t(k) = 12*k + 99. Let f be t(-8). Let s(j) = -j**2 + 1. Determine f*s(g) + r(g).\nAnswer: 2*g**2 - g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(825) + (4*sqrt(825)*-2 - sqrt(825)) - -4*sqrt(825)*-2)*-4)\/(sqrt(147) + 2*sqrt(147)*-5 - sqrt(1728)*1).\nAnswer: -320*sqrt(11)\/87","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.9? (a) -2\/5 (b) -3\/2 (c) 9 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10 + 44 - (-2 - -1). Suppose 247*n + u = 252*n. Solve p + 4*b = -n, -b + 3*b = -5*p - 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 2\/15)\/((-29)\/174). Let 0*j + 0*j**2 - 4\/5*j**4 - x*j**3 - 1\/5*j**5 + 0 = 0. What is j?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4910 is divided by 4891.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 15929010?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.7, 2, 17, -4.039 in decreasing order.\nAnswer: 17, 2, 1.7, -4.039","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j*j**(-2))\/j)\/j*j*j)**23*(j*(j**(-5\/6)*j*j)\/j)\/j**(-9\/7) assuming j is positive.\nAnswer: j**(103\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -11*x**6\/60 - x**5\/5 - 23*x**2. Find the third derivative of w(s) wrt s.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6*10\/45)\/(4\/(-6)). Let o(d) = 2*d**2 - 8*d**2 + d**2 + 7 + 6*d**2 - x*d. List the prime factors of o(14).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 7 + 2)*(-3*y - 3*y + 5*y).\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -11*i - 6*i. Suppose i*k - 4*w + w = 0, -k = 4*w. Let g be (-2)\/(-3) - (-1)\/(-2). Are g and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - (3 + -8)) + 2 - 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8aa8cc (base 13) in base 6?\nAnswer: 154142340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(110)*-6 + sqrt(110)))\/(sqrt(40)\/(3*sqrt(4))).\nAnswer: 45*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 + 1976*l + 1977.\nAnswer: -(l - 1977)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 30473 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12378 divided by -12378.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 6 + -3)\/(-1). Let i be (-2)\/c*(-9)\/6. Let h = 6 - 2. What is the biggest value in -0.2, h, i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1163, -14678, -51355, -122774, -240515?\n\"Answer: -1930*y**3 - y**2 - 2*y + 770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45 + -227\/5. Let f = -112\/3 + 38. Let i be 4\/12 - 5\/(-3) - (-248)\/(-93). What is the closest to f in -4, h, i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1165.2 and 5?\nAnswer: 1170.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 14 = 3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hyy when three letters picked without replacement from {h: 12, y: 3}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 72557*z**2 + 391*z?\nAnswer: 145114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3801050 - 0.192\nAnswer: -3801050.192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*a**3*h**3 - 761505*a**3*h - 93*a**3 + 57*a**2 + 240 wrt h?\nAnswer: 15*a**3*h**2 - 761505*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -68 - -114. Suppose 2*q - 40*f = -35*f - 83, 4*q + 172 = 4*f. Let j = q + y. Which is the fourth smallest value? (a) 5\/6 (b) -0.5 (c) j (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 1239*u**2 - 16288*u - 15012. What is k(-1252)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of o**5\/4 - o**4\/12 - o**3\/6 + o**2\/2 - 5*o. Let m(k) = k**2 - k + 1. Let l be m(-2). Suppose l = 5*q + 2. Give w(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20690 (base 10) to base 11\nAnswer: 145aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 11:31 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -11*n - 13. Let q be (-104)\/39 - (-8)\/(-6). Let g be q\/(-3) + (-84)\/9. Does 23 divide h(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -165 + 201 + (-1 - 16) + 17?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4044768 divided by -3704.\nAnswer: 1092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/8? (a) 1.6 (b) 1\/5 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215 = -7*v + 12*v. Let t = v + -41. Suppose 3*c - 238 = 2*c + 4*r, 0 = 5*c - t*r - 1190. Is 25 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -2\/3, 2.1, -0.4, 5\/16?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 451600?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - -6)\/((-6)\/(6\/(-2))). Let s be (8 - 7) + m\/((-2)\/(-2)). What is the common denominator of 38\/13 and s\/6 + 1338\/(-180) - 1?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11001210021 - -1?\nAnswer: 11001210022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*s - 197 + 56 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 != -0.531?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -60 and -60 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**3 - 898749*j**2 - 2246857*j + 1348116 = 0.\nAnswer: -449372, -3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -1 - (47 - 64) - -2\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -128.7 + 128.6. Put -5\/3, 0.3, 10, o in decreasing order.\nAnswer: 10, 0.3, o, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3751 + -3794 + 67 + 0.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -4*z - 4. Let d = z - -5. What is the least common multiple of ((-16)\/6)\/(d\/(-3)) and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**5\/6 - 1219*w**4\/3 + 3671*w**3\/3 + 23188*w**2\/3 - 2447*w\/2 - 7323 = 0.\nAnswer: -2441, -3, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -12, 19, 0, -3, 35, -5 in descending order.\nAnswer: 35, 19, 0, -3, -4, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -26, -6 in increasing order.\nAnswer: -26, -6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 194\/(-291) - (-1 - (-1)\/3). Let j(o) be the first derivative of 1\/3*o**3 + 8 + 0*o**4 - 2*o**5 + 0*o + r*o**2. Find the third derivative of j(v) wrt v.\nAnswer: -240*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(162) + 1 - sqrt(162)) + sqrt(162)))**2 - (sqrt(18) + 2 + sqrt(242) + -2).\nAnswer: 4*sqrt(2) + 163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - 2*t + 4. Suppose 10 + 6 = -2*q + 5*i, -i = -q - 5. Give h(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42850342.\nAnswer: 2, 29, 223, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-13)\/y))**(-1\/6)\/(y**(-1)\/((y\/y**(2\/37))\/y)) assuming y is positive.\nAnswer: y**(-115\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xfyrfyfjfxryyf. What is prob of picking 2 y and 2 r?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4431 - 23 = 2*l. Let r = -1487 + l. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 4:30 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33003239 to the nearest integer?\nAnswer: 5745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*sqrt(114)*-2)\/(-2*sqrt(864)*-5).\nAnswer: sqrt(19)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 220. Let a(c) be the first derivative of -c**2\/2 - 443. Give i(a(n)).\nAnswer: n**2 - 220","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-96 - -95) + (0 - 16)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -23381606\/5 not equal to -4676321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z + 3. Suppose 4*j - 4*c - 2 = -14, -5*j - 29 = 2*c. What is the smallest common multiple of d(j) and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 5. Let y(g) be the first derivative of g**3\/3 - g**2 - 3*g - 7. What is the units digit of y(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(2 - 1\/1). Let p(l) = -l**2 + 8*l + 89. Let k be p(14). Suppose -m + k = 1. Solve -b + m*b = r for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112 and 533848?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -30, 2, -10, 7799, 5, -0.5?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 69693 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 84667*d - 592696. Give b(7).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 71365 and 561155?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 2*h**2 - 7 + 0.\nAnswer: -2*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 1\/17, 1\/4 in decreasing order.\nAnswer: 1\/4, 1\/17, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 54700670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is 200000 (base 3) in base 12?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0511 and -55158.\nAnswer: 2818.5738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(5\/5) - 21. Let c be (-18)\/(-99) + 3436\/u. List the prime factors of (211\/(-5))\/(5 - c\/(-30)).\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/(-12) + -7)*2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -198963750*z**2. Let y(m) = -2*m. Give y(h(x)).\nAnswer: 397927500*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 + -20. Let y(v) = -v**3 + 12*v**2 - 9*v - 2. Let s be y(11). Let f be 105\/4 - 5\/s. What is the highest common divisor of u and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -35 and -0.06208693228?\nAnswer: 34.93791306772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jihffjfshjjfsh. What is prob of picking 1 h and 3 f?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 + 65 - (22 + 5 + -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -28*n - 88 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2440, -4568, -6696, -8824, -10952, -13080?\nAnswer: -15208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -864 - -551. Let m = -90 - x. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 15*p**2 - 25*p - 22. Let v be m(13). Let j be 16\/90 + ((-4)\/v)\/2. Suppose -4*l = l. Are l and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -102 + 2 - (1107 - 1163)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 268 = -a + 82, 0 = 3*a + 4*v - 1051. Suppose a = -3*s - 548. What is s rounded to the nearest 10?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000112000 (base 3) in base 2?\nAnswer: 100111001011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 + 72586546*a + 1317201665052529.\nAnswer: (a + 36293273)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-34))\/((-16)\/34*653\/1306)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 5 = 4*v. Solve 4*i - 28 = 5*r, -3*r - 5*i - 6 = -v*i for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g. Let m be 2 + -3 - (-4 - -1). Let h be r(m). Suppose h*q - 2*c = 168, 2 = 2*c - c. Is 16 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, -8\/53, 1\/6, -0.1 in increasing order.\nAnswer: -45, -8\/53, -0.1, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -3*q - 3, 7*q - 35 = 5*v + 2*q for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -184068284 by -4.\nAnswer: 46017071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 w when two letters picked without replacement from {d: 1, o: 1, x: 2, w: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52689?\nAnswer: 3, 7, 13, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23868 and 23634?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*h + 18 = 0, 0 = 5*v + 6*h - 4*h - 11. Suppose -v*f = y - 4734, -5*f + 3736 = -5*y - 4174. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -2*d - 2. Let s be ((-1)\/3)\/(d\/(-3)). Is 2\/15 less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*i**2 - 12*i**2 + i**2 - 105*i - 1550 - 13*i**2 = 0. Calculate i.\nAnswer: -10, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4*i + 8 = 0, y = 3*y + i + 16. Let o(g) = -g**3 - 7*g**2 - 5*g - 2. Determine o(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34101 divided by -11367?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-11)\/55)\/(33\/55))\/(20\/4200).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u + 25*u + 4*i + 302, 3*i = -4*u - 52497 + 52433 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnss when four letters picked without replacement from {n: 4, s: 14}?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2 - 2*k + 3. Let w be f(4). Suppose 2*g = 3*z + 126, 2*z + 126 = 2*g - 3*z. What is the common denominator of 25\/18 and g\/24*34\/w?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1705\/(-22))\/((-410)\/(-164)*3*(-3)\/27).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.6868186 != 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 168625.4 rounded to the nearest 100?\nAnswer: 168600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*h**2 + 14*h**2 - 40*h**2 + 10*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**3 - 2*w**3 + 5*w**3 + (-4*w + 0*w + 2*w)*(-2*w**2 - w**2 + w**2) + 4*w**3 - 3*w**3 - 2*w**3)*(-2 + 4 - 4).\nAnswer: -10*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a (base 12) to base 10.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 16 = 4*x - 6*x, -5*x - 55 = 5*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9 + -15 - (-1 + -1). Let a = 0 - b. Let t = 2 + 0. Solve 2*g + 2 = -5*x + 22, -18 = -a*x - t*g for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l - 2. Let f be z(4). Suppose -y + h + 79 = -f, -4*y + 346 = -2*h. Calculate the highest common factor of y and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/144*-20*(-2)\/25?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppd when three letters picked without replacement from {p: 4, u: 1, v: 2, d: 1, o: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (6 - 3) - -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 6*t**2 - 4*t - 5. Let j be p(5). Let f = -37\/168 + 3\/56. Which is greater: j or f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z - 21 + 21. Let m(f) = -f**2 + 8*f - 11. Let c be m(5). Let a(o) = 9*o**2 + 7. Let b(q) = 5*q**2 + 4. Let s(v) = c*a(v) - 7*b(v). What is j(s(p))?\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-45960)\/((-406)\/(-28) + -16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -2187542711089?\nAnswer: -2187542711085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 84 and 0.2.\nAnswer: 16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1347390379?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-80)\/(-12) - (-4)\/(-6). Let m(f) = -f + 8. Let a be m(h). Solve -a*p - 3 = p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -350 - -764. Suppose 2*h - 9*y = -12*y + 177, 5*h - l = 2*y. Does 21 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.9 + -0.7. Let j = -0.19 - 0.01. Let g = -3 - -7. What is the closest to -2\/3 in j, x, g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**3 + 4*n**2 + 5*n + 3. Determine q(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 3*h + 115*d - 118*d, 215 = -3*h - 47*d for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3891378 to the nearest integer?\nAnswer: 1973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -5286*b - 17. Let d(g) = -10562*g - 42. Calculate -2*d(q) + 5*u(q).\nAnswer: -5306*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*f**3*l - f**3*z**2 + 2*f**2*l*z + 2*f**2*l + 8*f**2 + 8*f*l - 2268*l*z wrt z?\nAnswer: -2*f**3*z + 2*f**2*l - 2268*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4*x + 1387 - 238, 0 = 3*x - 3*k - 864. Does 33 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 224 + -132. Suppose -2*n + j + 30 = c, -6 = -3*j. Let f be 17\/5 - (-12)\/n. Solve f*y - 2*y + q + 3 = 0, -4*q = y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -711 divided by -2?\nAnswer: 711\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 22*h**2 - 8*h + 40. Let d(m) = 14*m**2 - 5*m + 25. Let g(b) = 8*d(b) - 5*f(b). Let v(u) = -852*u**2 - 2*u - 2. What is v(g(r))?\nAnswer: -3408*r**4 - 4*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -122*w**2 - 862*w - 1259. What is m(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 87, -3, -5, -8 in increasing order.\nAnswer: -8, -5, -3, 21, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2)*0)\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 224 - -26. Does 25 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4\/3 + 5024*v**3\/3 + 1387440*v**2 + 366446592*v - 10495259424.\nAnswer: 2*(v - 26)*(v + 846)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 - 23. Let r be -6*(20\/y)\/(-5). What is the highest common divisor of 24 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125127 is divided by 31281.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2588676.\nAnswer: 2, 3, 215723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -34*f**3 - 8*f**2 - 11*f. Let n(w) = 300*w**3 + 70*w**2 + 100*w. Give 35*a(x) + 4*n(x).\nAnswer: 10*x**3 + 15*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 greater than or equal to 7.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of z**5\/10 - z**4 - 5*z**3\/3 - 19*z**2\/2 + 7*z. Is w(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 3. Suppose 9 = 42*i - 39*i. Solve q*g = i - 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 11:37 PM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k + 679*k**2 - k - 338*k**2 - 344*k**2.\nAnswer: -3*k**2 - 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1060917.5427548 - -1684.4595452. Let g = t + -1062556. Let f = g + -46. Round f to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 4:46 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 16575724 to the power of 1\/2, to the nearest integer?\nAnswer: 4071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -24, -39, -56, -75, -96?\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 c when four letters picked without replacement from djdbdrcdccccdbbrd?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c - 7 + 5*c**2 + 22*c**2 + 19 + 2*c.\nAnswer: 27*c**2 + 3*c + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -284 = 5*i - 4*i. Let v be i\/14 + (-8)\/(-28). List the prime factors of 72\/16*v\/(-3).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*g = 264 - 118 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*k + 50*k - 69*k + 83*k + 4324 for k.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005192 to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 584735.764 to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/4, -0.012, -13\/2, -0.4?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 30 = 3*i, 2*b = 3*b + 4*i + 23. Put b, -5, 210 in decreasing order.\nAnswer: 210, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -11*h**4\/4 - h**3\/6 - 3*h**2\/2 + 11*h. Let p be f(-1). Let x = 37 + p. What is the lowest common multiple of x and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2194916297 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 6 + 41*p + 2*p + 3 - 3*p to l + f*p and give f.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7128637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (200\/(-175))\/((-4)\/21).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-47 - -50 - (-2 + -5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(1\/5)*g*g)\/(g**(-3\/7)*g))**4)**(3\/5) assuming g is positive.\nAnswer: g**(1104\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 2*g + 2*b + 3, 4*b = 4*g. Let a be 12\/(-3) + (-388)\/18. Let s = 25 + a. Which is bigger: g or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*w = -4*q + 61*w - 17, -5*w = -2*q + 11 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 127199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10665225 is divided by 874?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 12 - 38 = 0. Suppose 2*d = 6*d - 3*t - 2363, 5*t + a = 0. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 283 + -240. Calculate the remainder when u is divided by 41.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.4, -303.7, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 15, 3*f - g - 45 = 25. Suppose 0*n - 2*n = -k + f, -k + 31 = -5*n. What are the prime factors of k?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -11. Let z = 16 + -19. Suppose 0 = -2*h, 3*f - 2*h = 3*h + 9. Put f, j, z in decreasing order.\nAnswer: f, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 6*v**2 - v + 8. Let n be z(6). Suppose y = -2*y - 5*u + 158, 5*u + 97 = n*y. What is the remainder when y is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4883180762.99999674 + -4883180543. Let f = g + -220. What is f rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 165, 2917, 7505, 13929?\nAnswer: 22189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2082.167 days?\nAnswer: 179899228.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 157.3933 rounded to 0 decimal places?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, g: 2, h: 5}. What is prob of picking 2 t?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4043*l - 48465 = 2248*l for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -6*j**2 + 2*j - 1. Let z be d(2). Let h = -11 - z. Which is the third biggest value? (a) 5\/2 (b) h (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2 = -4. Find the second derivative of -z**2 + y*z**4 - 3*z + z**2 wrt z.\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3589*w + 17084*w + 1 + 14102*w.\nAnswer: 34775*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -62369*c**2. Let l(v) = 4465*v**2. Determine l(d(k)).\nAnswer: 17368368498865*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b**3 + 3*b**3 + b**3)*(-4*b + 11*b + 17*b) + (0*b**4 + 5*b**4 - 3*b**4)*(-2 + 0 - 2) to the form u*b**4 + x*b**3 + f + q*b**2 + i*b and give u.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b**2 - 23*b - 138. Let h be i(-4). Solve 4*m + 8 = -h*a, 0 = 5*m - 4*a + 3 - 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of m**5\/15 + 67*m**4\/24 - 220*m**3\/3 + 93*m**2. Differentiate x(o) with respect to o.\nAnswer: 8*o + 67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142702?\nAnswer: 2, 7, 10193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 24*p**2 - 18*p - 3. Let a be d(-3). Suppose 0 = 2*f - 5*o - 726 + a, 0 = 2*f + 5*o - 449. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 e when two letters picked without replacement from trggtrrtrgtxey?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f**2 + 0*f + 0*f)*(4 - 5 - 2)*(-2 + 3 + 0)*((3 + 1 - 5)*(-4 + 4 + 1) + 1 - 3 - 3) to the form i + k*f**2 + d*f and give k.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 354?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 + -14. Let t(o) = -4*o - 10. Let h be t(-3). Suppose h*f - w*f + 308 = 0. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -219657, -219629, -219583, -219519?\n\"Answer: 9*u**2 + u - 219667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 208 = 128. What is the highest common factor of 16 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -7*i + 3. Let m be -1 - 16167712\/14 - i\/7. Let l = m + -445162. Round l to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4*x**2. Let k(n) = -n**2 - 7*n + 28775. Determine k(s(z)).\nAnswer: -16*z**4 - 28*z**2 + 28775","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 3717*q**2 - 6195*q**2 + 9154*q**2 as m + v*q**2 + u*q and give v.\nAnswer: 6676","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r*r**(-1\/7)))**(-29))**(-10\/17) assuming r is positive.\nAnswer: r**(2320\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2051 a factor of 567264283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -89 - -91. What is the first derivative of -2*o**3 + o + 15*o + 1 + o + 9*o + v*o wrt o?\nAnswer: -6*o**2 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 839178356 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4238451*j - 421219*j - 3983274*j + 2508048*j.\nAnswer: -6134896*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 11) to base 13.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -74 and -1173579?\nAnswer: 1173505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 107733 to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/2, 31110, 1.1, -4, 2\/5, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 7*f = -3*f + 2, -2*i = -2*f - 10. Let l be (21\/6 + -1)\/(1\/i). Solve 7*q = l*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.74541 * 0.05.\nAnswer: -0.0372705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(3) - sqrt(3)*-1 - sqrt(3))*3 - ((sqrt(768) + sqrt(768)*2 + sqrt(768))\/sqrt(4))**2) + 2 + -3.\nAnswer: -3073 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89221 is divided by 892?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nine fourteenths of a week?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-9)*(240\/(-24) + 3). Are 55\/3 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4. Let p = 135 - 134. Let r(a) = a + 2. Let o(f) = p*i(f) - 5*r(f). Calculate o(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -6*y**3 - 3*y**2 + y - 6. Let g(u) = 11*u**3 + 5*u**2 - 3*u + 11. Give -4*g(d) - 7*p(d).\nAnswer: -2*d**3 + d**2 + 5*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 6. Let w = l + 2.1. Let r = -0.04 - 1.96. Which is the nearest to w? (a) 2\/7 (b) 5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z. Let j(t) = 4*t - 15. Let o(h) = j(h) - 6*l(h). Let y be o(-10). Suppose y*a + 29 = 214. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -265, -1003, -2233, -3955, -6169?\nAnswer: -8875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 1. Let w(g) be the first derivative of 2*g**3 + 3*g + 527. What is -9*m(j) + 3*w(j)?\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -264, 231, 1568, 4167, 8448, 14831, 23736?\n\"Answer: 70*d**3 + d**2 + 2*d - 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -632468 or -632419?\nAnswer: -632419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 440120824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*x - 8*x**2 - 20*x)*(0*x**2 + 0*x**2 + 2*x**3) + 4*x**5 - 6*x**5 - 4*x**5.\nAnswer: -22*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + g**2 + 2*g + 1. Suppose -4*x - 7 = 4*i + 1, -10 = 5*i - 2*x. List the prime factors of s(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 12848, -5 in ascending order.\nAnswer: -5, 0, 12848","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-3 - -3 - (-4 - -6) - 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 18 + -4 - (-1 + 4). What is the second derivative of -72*w**4 + 69*w**4 + 9*w + z*w wrt w?\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*z = 1560 - 9540 for z.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z + x - 4, 2*z + 1 + 10 = -x for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q**3 - 15 - 5*q - 2*q**3 + 18 + 2*q**2. Let z be x(-4). Let b(p) = -p**2 - 13*p - 2. What is the remainder when b(z) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 11*m - 132. Give d(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/13)*l**11)\/((l*l*l*l**(-1\/15))\/l*l*l**4) assuming l is positive.\nAnswer: l**(778\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 97\/(-2)*(6 + -4). Let d = -66 - c. Find the common denominator of -29\/3 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108\/(-648) - 1\/3.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(60) + sqrt(2160))*-2)\/sqrt(12))**2.\nAnswer: 980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/3)*(i**(3\/8)*i*i)\/i assuming i is positive.\nAnswer: i**(17\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6 + 0)*(377\/273 - 1). What is the nearest to -1 in 0.06, m, 0.5, 0.3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**2. Let l(c) = 5*c - 11422. Calculate l(k(x)).\nAnswer: 10*x**2 - 11422","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/89490 and 43\/27807526.\nAnswer: 417112890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14864.6 - -14865. What is the second biggest value in -4\/5, p, -137?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -34*m**3\/33 - 28*m**2\/11 + 3417. Factor u(r).\nAnswer: -2*r*(17*r + 28)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 16*b - 11. Let z be j(-15). Suppose 0 = -3*s + c - 5, 0 = -0*s + z*s - 2*c + 10. Solve a - 3 = -s*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 27*g**2 - 15*g - 134. Determine f(-27).\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -14)*-3 - -18.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 0)*(5 - 5 - k) + 13 + 14*k - 13.\nAnswer: 18*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/42 + (30\/(-42) - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 8*a**2 + 10*a + 9. Let x = 18 + -14. Suppose 5*d + m - 2*m - 40 = 0, -x*d + m + 32 = 0. Is j(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -587797 - -587746.2193. Let b = m + -0.0193. Round b to the nearest integer.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270923340 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 80, 34 in decreasing order.\nAnswer: 80, 34, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18282 + 20*u**2 + u + u + 18282.\nAnswer: 20*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 + -7)\/(2\/(-4)*2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3437 (base 8) to base 13\nAnswer: aa3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -689 - 30143*x - 446 + 366*x**2 + 30146*x wrt x.\nAnswer: 732*x + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -35*d**2. Let w(t) = 2*t - 435 + 435 + 0*t. What is b(w(l))?\nAnswer: -140*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.5 - -3. Let t = -23 + 66. Let s = t + -42.9. Which is the closest to 2\/3? (a) p (b) -2\/9 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (46\/(-184))\/(10\/(-16)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-2) + ((-175)\/14)\/(-5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2\/13, 195, 0.3, -4, -0.1 in increasing order.\nAnswer: -4, -1, -2\/13, -0.1, 0.3, 195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/28137?\nAnswer: 2\/28137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 2*q - 2. Let m = 664 - 2012\/3. Let x = m - -226\/33. Sort q, x, 0.1 in decreasing order.\nAnswer: q, x, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (17\/(595\/(-20)))\/((-18)\/(-572733)). What is a rounded to the nearest one thousand?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 1:32 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, z: 1, e: 5}. Give prob of picking 2 d.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 51 = -s. Suppose -5*g - 5*m + 110 = 0, -2*g + 3*g = -5*m + 6. Let u = s + g. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 242757 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.1 + 2.7. Suppose 19 = -4*b - 1, 3*b + 15 = -2*k. Let n = -0.3 + -1.7. What is the closest to k in n, w, 4\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29180\/9 = 3243?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h - 7*j - 25, 6*h + j = 9*h - 5*h - 9 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2 + sqrt(11) + -4*(sqrt(11) + 2) + -2 + -1*(sqrt(176)*2 + sqrt(11)))**2.\nAnswer: 336*sqrt(11) + 1780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2025 - -2061. Let m = 403788 + -4438490\/11. Let k = m + -187678\/649. Calculate the common denominator of z and k.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of 13*k**4\/12 - k**3\/6 + 4*k**2 + 4*k. Suppose -17*a + 30*a + 39 = 0. What is the tens digit of p(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -28.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that v**5\/3 + 27*v**4 - 8657*v**3\/3 - 27747*v**2 - 74504*v\/3 = 0.\nAnswer: -139, -8, -1, 0, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*i + 2)*(2305 + 1924 + 1246 + 152).\nAnswer: 11254*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/4 (b) -18 (c) 0 (d) 2\/3 (e) 1044\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-5) + (169317\/20)\/(-9). Let l = m - -956. Find the common denominator of 14\/15*(-220)\/48 and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pcpvvvcvcpvvcp. What is prob of sequence pv?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -149, -219, -277, -317?\nAnswer: -333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -14. Sort 4, 2, s in decreasing order.\nAnswer: 4, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/22808 and 49\/111189.\nAnswer: 889512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 943 is divided by 52?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -p + 708, 296 = g - p - 58. Round g to the nearest ten.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-123)\/(-205))\/((-6)\/(-50)) + 40\/2. Solve -3*m + 3*r + 3 = 0, p = m + 53*r - 48*r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62977 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 1. Let r(v) = -3*v**3 + 20*v**2 - 2*v + 36. Let x(o) = -2*i(o) + r(o). Determine x(20).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + (-5 - -1) + 1. Let k be (m - -3) + 4\/2. Suppose -k*x = -68 - 32. Calculate the lowest common multiple of x and 14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + -19 - (54 + 10)?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*g + 21*g + 23*g - 61*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - ((1 - 3) + (-130 - -133))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32417 - 22929. What is the third derivative of -p**6 + 9627*p**2 - f*p**2 + 23*p**6 wrt p?\nAnswer: 2640*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3390 = -3*q - 3390 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -13*m + 54 - 54 + 11*m. Let c(k) = -11*k**2 - 6*k + 6. Let b(t) = -12*t**2 - 7*t + 7. Let r(y) = 6*b(y) - 7*c(y). Give l(r(q)).\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(3 - 4 + 0)*(4*y - 6*y**2 - 4*y)*(-428*y + 10*y**2 + 428*y).\nAnswer: -120*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -43230, -43169, -43068, -42927, -42746, -42525?\n\"Answer: 20*r**2 + r - 43251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x\/((x\/(x*x**3))\/x))\/x)**(-1\/31)*(x\/(x\/(x*x**(7\/2))*x*x))\/(((x*x\/((x\/((x\/(x*x\/((x**(-3\/11)*x)\/x)))\/x))\/x*x))\/x)\/x))**28 assuming x is positive.\nAnswer: x**(53578\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xlqzxzoolzllxll. Give prob of picking 1 x and 1 q.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 518397208?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122621 is divided by 12258?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n - 1. Let v(z) = -4*z - 4. Let k = 112 + -86. Determine k*c(j) - 6*v(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27.5 + 0.5. Let o = 27 + t. Sort o, 1\/9, 3.\nAnswer: o, 1\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -18*x**3 + 592*x**2 + 6*x + 1989. Give u(33).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 3*j**2 - 6*j + 3. Let l be a(-4). Suppose -6*d - l + 29 = 0. Put 0, 1, d in descending order.\nAnswer: d, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 861, 1722, 2583, 3444, 4305, 5166?\n\"Answer: 861*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 2*y - 9 - 41, 0 = 2*f + 3*y - 45. What is the smallest common multiple of 30 and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 6082992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 321*z**5 - 2890*z**4 + 2436*z**2 - 547*z.\nAnswer: 19260*z**2 - 69360*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/5)*k)**(-1\/15)*(k\/(k\/((k*k\/(k**(-3\/4)\/k))\/k)))\/(k*k**(-1\/11)*k))\/((k*(k**1\/k*k*k)\/k)**(2\/3))**(-14) assuming k is positive.\nAnswer: k**(64243\/3300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q**2 + q - 4. Suppose 16 = 3*o - 11*o. What is the units digit of l(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 3898503?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -f**3\/3 + 9*f**2\/2 - 8*f - 1. Let v be q(8). Let j = -779\/12 - -194\/3. Which is smaller: v or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2861.\nAnswer: 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5*x + 22, 0 = -2*x - x - v + 22. Let c = 210 + -145. Let j be 120\/c + 0 + (-2)\/(-13). Solve j*q = -q + x for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 12:36 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -0.2, -93, 0.5, -3\/2, -74?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 5*k**2 + 9*k + 6. Determine n(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-10)*k*k\/k**(-1)*(k\/k**2)**(-40) assuming k is positive.\nAnswer: k**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 854 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/4956)\/(10\/45*63\/49).\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 2*sqrt(539)*-2)*1)**2 - ((-2 + 0 + sqrt(539) - (-2 + sqrt(539) + 1)) + 1)**2.\nAnswer: -56*sqrt(11) + 8625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 8 + 105994*j**3 + 2*j + 2*j - 6*j - 105997*j**3. Let d(g) = -g**3 - g + 1. Calculate 4*d(i) - q(i).\nAnswer: -i**3 - 2*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -304?\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 12*s - 13. Let x be o(-9). Let c = -35283\/4 - -8998. Which is smaller: x or c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 + 64*y**2 - 135*y - 198 - 128*y**2 + 59*y**2 = 0. Calculate y.\nAnswer: -24, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101022032 (base 5) to base 2\nAnswer: -1100011100011010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 - 7. Suppose -k = -5*h + 38. What is the highest common divisor of h and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 64537 or 65807?\nAnswer: 64537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -475 - -5?\nAnswer: -470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 + -30. Calculate the greatest common factor of 14 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkkkkk. Give prob of picking 3 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 45 (base 16) to base 15\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/9*3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q**2 + 10*q - 1. Let h be o(-3). Let l(b) = 3*b**2 - 8*b + 26. What is the tens digit of l(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1273 + -1?\nAnswer: -1274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j - k, 4*j - 52 + 73 = 5*k for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4173.\nAnswer: 3, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 290?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**2 - 10. Let r(m) = 5*m**2 + 4. Let j(f) = -5*f + 26. Let k be j(6). Let o(g) = g**2 + 1. Let p(d) = k*o(d) + r(d). Calculate t(p(i)).\nAnswer: -2*i**4 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -5, 17, 1, -13, 0, -23 in increasing order.\nAnswer: -23, -13, -5, 0, 1, 8, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(1\/2)*m)**0\/(m**(-1)\/m)**(-19) assuming m is positive.\nAnswer: m**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**5 - 2*u**4 + 2*u**3 + 10*u**2 + 8*u - 8. Let b(w) = -2*w**3 - 1 + 0 + 3*w**3 + 0*w**3 + w + w**2. Let l(k) = -a(k) + 6*b(k). Factor l(v).\nAnswer: -2*(v - 1)**3*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**4 - 6*f + 6*f)*(-572 + 572 - 68*f)*(4 - 1 - 2).\nAnswer: -68*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m. Let r(q) = -1. Let d(b) = -5*b + 10. Let y(n) = d(n) + 15*r(n). Let c(p) = -4*x(p) + y(p). What is c(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11035 (base 12) to base 16.\nAnswer: -57e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -74*m - 152*m - 678 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 471.\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*y - 3*y - 4*y)*(8*y - 27*y + 46*y)*(-y + 0 + 0) to x*y**3 + i + w*y + u*y**2 and give x.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 1084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 207, 421, 709, 1071, 1507?\nAnswer: 2017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hmhmh. Give prob of sequence hhm.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6194, -12299, -18220, -23867, -29150, -33979, -38264, -41915?\n\"Answer: 15*y**3 + 2*y**2 - 6216*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 400909?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k\/(k*k\/(k\/(k*k\/k**(-29)*k)))*k)\/k)\/((k*k**26)\/k))\/(k*(k\/((k*(k*k**(2\/41)*k)\/k)\/k))\/k*k*k**(1\/19)) assuming k is positive.\nAnswer: k**(-44406\/779)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 2:18 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 16.2 (b) 8 (c) 1 (d) 2 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/17)\/(h\/h**3*h*h)*(h\/(h*h**(-1\/3)))**(-7) assuming h is positive.\nAnswer: h**(-125\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11352 and 0.5.\nAnswer: -5676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t + 640 = 646 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 59438 divided by -2?\nAnswer: -29719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in -2\/7, -5, 16\/49, -38?\nAnswer: 16\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -346, -343, -330, -301, -250, -171?\n\"Answer: l**3 - l**2 - l - 345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 171\/1519 or 1\/49?\nAnswer: 171\/1519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19245 - -211466\/11. Let a(i) = 4*i - 5. Let q be a(-4). Let f = q - r. Which is smaller: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101020210001 (base 3) to base 11\nAnswer: 12865a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**5 + 4*r**5 - 2*r**5 + (r - r**4 - r)*(-3 + 2*r + 3) + (2*r + 1 - 1)*(-r**3 + 2*r**4 + r**3) + 6*r**5 - 36*r**5 - 11*r**5.\nAnswer: -40*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 6*d - 68*d**2 + 2 - d + 70*d**2 - 6*d. Let j(n) = n - 1. Suppose -2*v + 3 = -5*v. Determine v*r(p) - 3*j(p).\nAnswer: -2*p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225774.\nAnswer: 2, 3, 37, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 = -11*l + 19 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 229, 338, 449, 562, 677, 794, 913?\n\"Answer: s**2 + 106*s + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/5 - 98*t\/5 - 96\/5.\nAnswer: -2*(t + 1)*(t + 48)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3 + ((sqrt(572)\/sqrt(99) + -5)**2 - sqrt(416)\/(sqrt(288)*-1)) + 5.\nAnswer: -19*sqrt(13)\/3 + 358\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -5 (b) -3 (c) -0.05 (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8918 = -1078*c + 1421*c for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(3\/2)*(b\/(b\/(b\/b**(2\/9)*b)*b))\/b*b*b)\/((b*(b**(-1)*b*b)\/b*b)\/b**(-1\/5)) assuming b is positive.\nAnswer: b**(-83\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 11*f**2 + 8*f + 33. Let r be p(11). Suppose r*d - 108*d = 11401. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-320)\/32*(-280)\/(-112)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -4*f + 4. Give a(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**2 - 124*m - 455. Calculate b(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -424 + 582. Let f = m + -146. Solve 0 = -6*g + 3*g + f for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5}. What is prob of picking 2 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and -0.147781.\nAnswer: -0.147781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 j when two letters picked without replacement from {q: 5, f: 3, j: 3}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**3 + 167*x**3 + 75*x - 75*x + 705*x**3.\nAnswer: 869*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 21*s - 17*s. Suppose 0 = s*v - t - 89, 2*t = -2*v + 7*t + 68. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -2\/5 (b) 15 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - (-4 + -10))\/(-3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24? (a) 3.79 (b) 3\/7 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5203.758 years in millennia?\nAnswer: 5.203758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of i**5\/180 - i**4\/27 + i**3\/18 + 27*i. Factor k(p).\nAnswer: p*(p - 3)*(p - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14825 + -1.\nAnswer: -14826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3*2*(-5)\/(-15)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2992 greater than or equal to -2406?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -15*z**3 + 4*z**2 + z. Let c(h) = 4*h**3 - h**2. Let l(b) = -b**2 + 19*b + 122. Let k be l(24). Calculate k*s(q) + 9*c(q).\nAnswer: 6*q**3 - q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 104943686 to the power of 1\/2, to the nearest integer?\nAnswer: 10244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-14)*(-994)\/(-852)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 3 - 2, 5*s - 26 = -q. Let h(l) = -2*l + 3*l + 4 + 0 - 11. What is h(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.091 and -1726048?\nAnswer: -157070.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 7. Let i(t) = t**3 + t**2 + 4*t - 4. Let a be i(k). Calculate the highest common divisor of 11 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k + 5. Let j be 78\/14 - (-6)\/14. Suppose -5*o = 3*u - 70, -o - j*u = -u - 36. Let c(w) = -1. Calculate o*c(v) + 2*d(v).\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 26937020 to the power of 1\/3, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 0, -4, -1\/12, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 10:27 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - 3*v = -141, 0 = 437*b - 441*b + v - 91 for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 5*b + 5, -2 - 2 = 4*b - 3*y. Let q(w) = -34*w**3 + 2*w + 1. Is q(b) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 60360\/19 + -301762\/95. Let 2\/5*q**4 + 0 + 0*q - 4\/5*q**3 + f*q**5 + 0*q**2 = 0. Calculate q.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 241 - 710. Let p = y + 468.945. Round p to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 649883 is divided by 28?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1879350895 to the nearest integer?\nAnswer: 43351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 385790733.\nAnswer: 3, 79, 542603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*y - 4*p + 25 = 0, 2*y = -5*p + 23. Put -5, -2, -4, y in descending order.\nAnswer: y, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/4 (b) 2\/49 (c) 4063 (d) 0.2 (e) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 9377.\nAnswer: 18754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 64737442, 129474879, 194212316?\n\"Answer: 64737437*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of 5*c**3\/3 + 19. Let m(v) be the second derivative of v**4\/6 - 20*v. Determine m(w(b)).\nAnswer: 50*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 4*u = -48. Let s be (u\/30)\/((-2)\/1070). What is s rounded to the nearest 10?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299*z - 40 = 294*z, 39*a - 33*a - 5*z + 22 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 33280872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 153 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -160 - -97.47717677\nAnswer: -62.52282323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + j = 10 - 2, 22905 = -q - 8*j + 22930 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15\/(4 - 9) - (-176)\/4 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63945, 63938, 63921, 63888, 63833, 63750, 63633, 63476?\nAnswer: 63273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2688265930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 - (0 + -2 + 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -259, -162, 1, 230, 525, 886?\n\"Answer: 33*v**2 - 2*v - 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 32*m - 723. Calculate o(22).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a - 23*a + 31*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 31640\/(-840) + 1\/(-3). What is the nearest to 3 in 5, 1\/2, b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -59\/65 (b) 0.2 (c) -0.04 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34.8 + -14.8. Let r = 0.4 - 3.4. Which is the smallest value? (a) p (b) r (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 23043.89km?\nAnswer: 2304389000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 153 + 45 = 16*z, 2*z - 69 = -7*f for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**5 + 324*q**4 - 9720*q**3 + 128304*q**2 - 629856*q.\nAnswer: -4*q*(q - 27)*(q - 18)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*v + 40 - 147 + 111.\nAnswer: -9*v + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3\/4 + 645*b**2\/2 + 5199*b\/4 + 1953\/2.\nAnswer: -3*(b - 434)*(b + 1)*(b + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 7 (b) -1.26 (c) -4\/5 (d) -1 (e) -0.63 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 3:01 PM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17460.\nAnswer: 2, 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 3*v + 6*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of 72 + 0*l - 1\/2*l**2. Let k(s) = 2*s - 15. Calculate k(q(d)).\nAnswer: -2*d - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2761, 0.2, -2, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 9) in base 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 204018*l**3 - 2*l**2 - l + 32117.\nAnswer: 1224108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m + 18*m = -10*m. Let d be (-4 - 100\/(-28))*8\/6. Which is the closest to m? (a) -5 (b) d (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 + 254*z - 7687. What is y(-154)?\nAnswer: 629","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*y - 27*y - 28*y + 8*y**2 - 66*y**2.\nAnswer: -58*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n + 8. Let g be p(5). Let l be 264\/27 - g\/9. Suppose 0 = 5*b - 4*b + 3*f + 5, -f - l = 2*b. Sort -4, -2, b in descending order.\nAnswer: -2, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11070\/2829 - (-10)\/115 - -4\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (-1 - 1) + (53 - 48).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 91312, 365253, 821814, 1460989, 2282772, 3287157, 4474138?\n\"Answer: -n**3 + 91316*n**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/((-22)\/(-17)) + -1. Let h = -8 - -11. Let o = h - 2.9. Is a at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/((s**(-1)*s)\/s))\/s*s)**0*(s**(-2)*s)\/(s*s\/s**(-1)))**(-43) assuming s is positive.\nAnswer: s**172","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -h**6\/60 + 17*h**5\/90 + 2*h**4\/9 + 20*h**3\/3 + 3*h - 214. Let n(f) be the third derivative of a(f). Factor n(q).\nAnswer: -2*(q - 4)*(9*q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -0.0177\nAnswer: 11.9823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 282 and 22137?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60593949 and 907.\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 93, -157, -575, -1161, -1915?\n\"Answer: -84*c**2 + 2*c + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3294 (base 16) to base 9\nAnswer: -18676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -946, -1\/5, 2\/7.\nAnswer: -946, -1, -1\/5, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.1 - 3.2. Let g = 0.3 + v. Let p = -0.5 - g. Which is the smallest value? (a) -1\/6 (b) -0.2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z\/z**(-17\/6)))*(z**22\/z)\/z)\/(((z\/(z\/((z\/z**(2\/9))\/z)))\/z)\/(z**(2\/9)\/z)) assuming z is positive.\nAnswer: z**(437\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 9*o**2 + 6*o. Suppose -8 = 4*j + 12. What is the remainder when t(j) is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -144*j - 806 + 2429 - 605*j - 796 - 809 to the form r + y*j and give y.\nAnswer: -749","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i - 2*i + i + 6 + 3*i. Let z be x(-5). What is the units digit of 2\/9 + (-97)\/z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.023? (a) -3\/2 (b) 6\/7 (c) -5 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, w: 9}. Give prob of picking 2 w and 1 r.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5694 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - i = -28. Suppose i*x = -5*x + 162. Let c(p) = -9*p - 10*p + 36*p - x*p. Let t(m) = -3*m**2 + 4. Give t(c(y)).\nAnswer: -3*y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000746 rounded to 6 dps?\nAnswer: 0.000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 497867, 497866, 497865, 497864?\n\"Answer: -a + 497868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 9 - 15 = -4*p, 2*p = 4*u + 16. Suppose 0 = -5*z - 5*f + 60, -p*z - 5*f + 73 - 30 = 0. Is z a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 27, 56, 105, 174, 263, 372, 501?\n\"Answer: 10*m**2 - m + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 2. Let q(o) = 0 - 4*o**2 - 2 + o**3 - r*o + 1. Is q(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*j - 4*j. Suppose -4*g + 1 + j = 0. Let v = -3143\/4 - -788. Is g equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 18*k + 8*k**2 - 24*k + 10*k - 2*k**2 as r*k**2 + h*k + n and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -42, -61, -82, -105, -130, -157?\nAnswer: -186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 74 (base 8) to base 10\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161*o = 65845 - 21892. Calculate the greatest common factor of o and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v + 113*v + 27*v = -4116 for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of q**6\/120 - q**5\/30 + q**3\/6 + 3*q**2. Determine v(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 5*k - 115 + 58 = -14 + 103, -u - 5*k - 158 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of 0 + 0*x**3 + 0*x + 1\/12*x**4 - x**2. Let n(y) be the third derivative of y**4\/8 - y**2. What is s(n(h))?\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.65943 to 2 dps.\nAnswer: 2.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, z: 2, x: 3}. What is prob of picking 2 z and 1 x?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6527 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -207422849 and -603.4.\nAnswer: -207423452.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 652608.\nAnswer: 2, 3, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.173699705 rounded to five decimal places?\nAnswer: 1.1737","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)*-2*1 - (4*-1*sqrt(220) + sqrt(220)))\/((-1*sqrt(540))\/(sqrt(48)\/(sqrt(4) - (-3*sqrt(4) - sqrt(4))))).\nAnswer: -2*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31*d**5 + 19*d**4 - 2409*d**3 - 2465*d**2 + 1030*d.\nAnswer: 1860*d**2 + 456*d - 14454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 14*r - 45. Let g be n(-6). What is the third biggest value in 1, 8, g, -102?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15258517402 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (16\/(-20))\/((-2)\/(-5))*-2. Suppose i = 4*h - 2*h. Sort h, -4, -2.\nAnswer: -4, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*17486.\nAnswer: 17486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + f - 7 = t, 0 = 4*f + 3*t + 1. Let z be -1 - (-2 - (-2)\/6). Determine b so that 0*b - z*b**3 - 1\/3*b**f + 0 - 1\/3*b**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.4 in 12, -4\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 25\/6 - (-5)\/6. Sort -5, u, 1, 3 in descending order.\nAnswer: u, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -s**8\/112 + 144*s**7\/35 - 4261*s**6\/8 + 41039*s**5\/10 - 25347*s**4\/2 + 20164*s**3 - 2417*s**2. What is t in r(t) = 0?\nAnswer: 1, 2, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2)**(-32)\/((t*t**8\/t)\/((t\/(t*t**(-3\/8)*t))\/t*t)) assuming t is positive.\nAnswer: t**(-581\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**5 + 0*a**5 - 3*a**5 - 5*a**5 + 3*a**5 + 0*a**5 + (a**2 + 2 - 2)*(a**3 - 3*a**3 + 0*a**3) - a**5 + 0*a**4 + 0*a**4 + 5*a**5 - 15*a**3 + 15*a**3.\nAnswer: -a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddssdddsyssy. Give prob of picking 1 y, 1 s, and 1 d.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 2:44 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/(sqrt(5) - sqrt(5)*-5))\/(sqrt(6) - (sqrt(36) + sqrt(36)*3 + sqrt(36))\/sqrt(6)).\nAnswer: -sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -80\/19, 3\/8, -1.4, -2, -2\/7, -4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*3\/(-12)*-2. Suppose d = -4*l + 4 + 12. Let c be 8 - 5\/((-10)\/(-6)). Solve -4*x + 16 = -c*k, -3*k - 7 = -l*x + 1 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/30 of a millennium?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -326 = 5*y + 3*r + 152, 0 = -4*y + r - 379. Let w = -49 - y. What is w rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1025*i - 657*i - 67584 = 45110 for i.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(539) + 1) - -1*((2*sqrt(539))**2 - sqrt(539) - sqrt(539)).\nAnswer: -42*sqrt(11) + 2152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -280110 - -460969. What are the prime factors of q\/98 + (-2)\/4?\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*u - 68*u - 4*u + 78156 = 0. What is the remainder when u is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2. Let d(g) = 3*g - 10. Determine d(t(i)).\nAnswer: -3*i**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 101*f**3 - 4*f - 22. Let w(o) = -101*o**3 + o**2 + 6*o + 20. Let g(d) = -3*b(d) - 2*w(d). Find the third derivative of g(a) wrt a.\nAnswer: -606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 105, 699, 2329, 5517, 10785, 18655, 29649?\n\"Answer: 87*n**3 - 4*n**2 - 3*n + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3517, 6894, 10245, 13570?\n\"Answer: -13*j**2 + 3416*j + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-18)\/22)\/((-52)\/12) and -97\/2.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 6*a**2 + 3. Let i be f(6). Suppose -i*b + 6*b = 189. Is 24 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 421 + 94*w + w**4 - 213 - 210 as d*w**4 + a + m*w**2 + h*w**3 + b*w and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 1 - 1\/2*n**2 + 1\/3*n**3 + 0*n. Find u, given that h(u) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 a factor of 12558403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uchuuuhuhhu. What is prob of picking 1 u and 2 h?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gf when two letters picked without replacement from {g: 7, c: 6, f: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-2*(-1)\/1). Let a(p) = 107*p - 426. Let y be a(4). Suppose y*o - 54 = -h*o. What is the smallest common multiple of 15 and o?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 28*a**2 + 3*a + 54. Is j(28) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 148 - -3?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -6.9 and -0.8271546.\nAnswer: -7.7271546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-9)\/5 - -2)*(-11 + 36). Solve 24 = -l*k + 11*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11139, 11146, 11153, 11160, 11167?\nAnswer: 11174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 921 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10470 (base 8) to base 2.\nAnswer: -1000100111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*z + 469 - 9*z - 469.\nAnswer: -19*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5.72175 - 189992721\nAnswer: -189992726.72175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/15 - (-26)\/(-195). Let v = 13\/149 + -23083\/3278. Let b = v - -15\/2. Which is bigger: j or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 1:17 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.1 + 0.1. Let z = 0 + 2. Let t = 2 - z. Which is bigger: t or d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/49827 or 1?\nAnswer: -4\/49827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q - 2*q - 5*q + 2*q - 3 + 3 + (0 - 2 + 3)*(0 + 0 + q) + 406*q - 44*q - 156*q + (1 + 1 - 3)*(-4*q + q + 6*q) - 3*q + 5*q - 4*q.\nAnswer: 199*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -11*o + 5. Let n(a) = -5*a + 2. Suppose -2950 = 60*c - 55*c. Let u = c + 592. Determine u*z(v) - 5*n(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7491422 to the power of 1\/2, to the nearest integer?\nAnswer: 2737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -7*r + 6*r + 2*r + 5. Calculate j(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -147433 (base 8) to base 4\nAnswer: -30330123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 3*x - 23 + 15.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (24\/3)\/(15*12\/1394010)?\nAnswer: 2, 3, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 6. Let y = -34 + 29. Which is the third smallest value? (a) y (b) f (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71 divided by 4.\nAnswer: 71\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 124589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 4*l - 5040, -4*b = -l - 10024 + 3304. Suppose -4*q + b = q. Is 56 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7 and -3.5.\nAnswer: 3.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -55b5 + 549?\nAnswer: -506c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.8 + -1. Let p = -0.8 + -0.2. Let m = 0.9 + p. Is k not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*w - 14*w. What is the smallest value in -0.1, -0.2, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-13335)\/(-60) - (4 + (-15)\/4). Solve d - 229 = -7*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-2022)\/45*-3 + 30 + 5364\/(-180) and 54.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/(-28) + (-9)\/(-4). Let v be k - 0 - 4 - -1. Which is the second smallest value? (a) 2\/3 (b) -4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/10 + 1114\/10 + -3. Suppose -4*h + 5*b + 435 = 0, -2*h = -h - b - t. Does 35 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8302, -67522, -228416, -541870, -1058770, -1830002?\n\"Answer: -8481*o**3 + 49*o**2 + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 2:25 PM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 + -21. Let m be (-6455)\/c - 1\/(-3). Round m to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21.7 + -32. Let j = t - -9. Is j greater than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.13 or -17?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 34 = 2*l - 2*y, -80 = -4*l + 2*y. What is the remainder when l is divided by 10 - (0 - 0\/1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + w = 4*w + 162, -4*i + 219 = -3*w. What is the highest common divisor of 76 and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -1 - ((9 - -8) + -17)) + -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.196942 * 0.04\nAnswer: -0.00787768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2423887mm in centimeters?\nAnswer: 0.02423887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18.56 + -12.2. Round d to one dp.\nAnswer: 6.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 8:30 AM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -16. Let c(b) = -5*b + 105. Let d be c(21). Suppose 0 = -3*h + 4*l - 1, 18 = 2*h - d*h + 2*l. Sort o, h, -5 in decreasing order.\nAnswer: o, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - w - 4. Let d = 11 + -11. Let r be x(d). Let u be (-12)\/r + 2 + 0. Solve -5*z + 4*y + 9 = -5, u*y - 1 = -3*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(684)*-1 + 5 + 2 - (1 + (sqrt(114)\/sqrt(2))\/sqrt(3) + 5))**2.\nAnswer: -14*sqrt(19) + 933","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 4:08 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4755850 to the power of 1\/2, to the nearest integer?\nAnswer: 2181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-80)\/(-180))\/(6\/(-27))*-6*(-86)\/24?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 6:22 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -90.9923 - -91. What is z rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -171 - -165. What is the units digit of (-1)\/(u\/(-22))*-27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 - n + n)*(4 + 4 - 7) + 2*n + n**2 - 2*n.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z - 3. Let w be f(6). Let o be w\/36 + 827\/4. Let u = -40 + o. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -3*y - 11 - 9, -y = -a + 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 62?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-695563.\nAnswer: 69556.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 4*m + 17 = -6*m, 24*k + 8*m = 23*m + 120 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1113211 - -30350?\nAnswer: 1144001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 5*b + 20, -4 = -j + 2*b + 2. Let l = 0.4 - -0.1. Put j, 0.1, l in decreasing order.\nAnswer: j, l, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -249 - -252.003. Let s = -3 + l. Let f = s + 0.0011. What is f rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-96)\/(-12) - (0 - 0). Suppose -3*t + k = -t. Suppose 0 = 10*r - t*r - 66. Is r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 29*y = -30*y - 11, -2*x + 5*y = -38 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8439654 is divided by 375.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15\/(-18) + (-4522)\/(-228). Solve 66 = y*z + 161 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 8*r - 3*r)*(2 - 2 - r) + 3*r**2 - 3*r**2 + r**2.\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uujujnjjeenjejjje. Give prob of picking 1 u and 1 e.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-73.40512.\nAnswer: -146.81024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -95096 - 14*j + 95096 + j**2 = 0.\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 419499629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g + 11*g**3 + 3*g**3 - 1 + 16*g**3 - 33*g**3. Suppose 17 = -3*y - 4*i, 2*y - 17 = 5*i + 10. Determine a(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 119*v**2 + 4*v + 5. Let t be u(-5). Let g be t\/176 - (-4)\/22. Solve 2*s = -3*m - g, 20 = 5*s - 0*s - 5*m for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, l: 5, i: 1, d: 1, a: 2, g: 1}. What is prob of picking 1 c, 1 i, 1 g, and 1 l?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3 + 4*x**2 + 4*x - 4.\nAnswer: -4*(x - 1)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + -1. Calculate the remainder when 48 is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -30*d + 3. Let n(o) = -31*o + 1. Determine -3*a(g) + 2*n(g).\nAnswer: 28*g - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 11:54 AM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1*(7 - 4)\/3*187 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 14. Suppose -q*t = -j - 18 - 22, 0 = t - 5*j + 16. Let m(c) = t + 0*c**2 - 3*c + c**2 - 12. Give m(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 46271696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**4\/5 + 184*z**3\/5 - 7424*z**2\/5 + 63488*z\/5 = 0. What is z?\nAnswer: -124, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/3))**26\/(v*v**(-2\/5))**(2\/19))\/(v*v*v**(-1\/5)*v*v*v*(v**0*v)\/v*v)**(-41) assuming v is positive.\nAnswer: v**(14539\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 946924 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -31, 1131, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 8 = 4*g, 4 = -r + 5*r + 4*g. Solve 12 = -r*c - 2*n, -3*c - 4*n - 5 = -1 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**3 - 45*f**2 + 23*f - 26. What is m(22)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4254 > 4007?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -5*g - 70 + 584, -4*v + 676 = 2*g. Suppose -5*d - n = v - 687, -n = 1. What is the remainder when d is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 28, 48, 68?\n\"Answer: 20*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1256244 + -5?\nAnswer: -1256250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 8*w + 2. Let n be f(8). Solve i - 5*k - 11 = -n*i, -5 = 3*i - k for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15345 (base 10) in base 6?\nAnswer: 155013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -3*k**5\/5 - 15*k**4\/4 - 9*k**3 - 21*k**2\/2 - 6*k + 17. Let z(y) = 0. What is y?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 6*v - 40 = 0. Suppose 5*q - 62 = -3*u - 0*q, -v = -2*u + 5*q. Suppose -u = -2*w + 4. Solve 2*s - 5*s = w for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000087353148 rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(5\/5)\/(-14).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1529268267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 126315052967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 801?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, 1, 1\/20?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5b - -a584?\nAnswer: a527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3 + 21657*b**2 - 39117936*b + 117158976.\nAnswer: -3*(b - 3608)**2*(b - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, 11\/6, 2\/15?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 13412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -921 equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r**3 - 3*r**3 - 7*r**3)*(-369 - 380 + 746 - 178*r) as s*r**3 + m*r**4 + k*r + c + y*r**2 and give s.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 4*f**2 - 7. Let i be k(-3). Suppose 2*t = -i*t - t. Suppose -198 = -2*r - 2*c, -c = -r - t*r + 109. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2123*r**2. Let u(q) = -9*q. What is c(u(k))?\nAnswer: -171963*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1 + 118\/(-28) - -1 and 19\/16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 56*q**2 - 96*q + 70. Let f(z) = -36*z**2 + 64*z - 50. Give -7*f(r) - 5*w(r).\nAnswer: -28*r**2 + 32*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2512057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*l**3 + 34*l + 57*l - 61 - 91*l in the form y*l**3 + p + h*l + x*l**2 and give p.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 8:01 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 0*i + 11*i + 49 + 7 + 56 + 24. Determine u(-13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3 - 5*t + 0 - 5. What are the prime factors of x(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-6 - -1) + 0 + (-16610)\/(-3575) and -38\/39.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 4*x - 8469, -21*p + 16*p - 15 = 0. Is x a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 119. Let s(q) = -2*q**2. Give u(s(h)).\nAnswer: 4*h**4 + 119","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11201 (base 3) in base 5?\nAnswer: -1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*4*sqrt(1617))\/(-6*sqrt(147)*4 - sqrt(147)).\nAnswer: -4*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = -5*f + 2*x, 545*f + 5*x = 543*f + 41. Calculate the remainder when 338 is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43 + -15. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 6*q - 10*q + 77477, -4*f + 61994 = -3*q. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*c - 1359 + 1167 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*v + 2 - 3 - 15 wrt v?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2298 - -1751. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 99302*t*y + 39207*t wrt y?\nAnswer: 99302*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g + 6 - 6 in the form d + f*g and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 4*t - 3*t, 5*j = 2*t + 29 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39 and 36?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*w, 4*x - w = 2*x + 37. Suppose -x*v = -33 - 21. Solve -3*j - j + t - 4 = 0, 0 = -v*j - t - 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 86 + -64 - 95 - -46.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44828 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1106*z**5 + 2*z**2 + 36609*z?\nAnswer: -22120*z**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 255*k**3\/2 + 210655*k**2\/2 + 650245*k\/2 + 61725\/2 = 0?\nAnswer: -823, -3, -5\/51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -2*z. Suppose -5*l + 3*l + 6 = z. Is -2*1\/3 + 140\/l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l - 54 + 22 + 32.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1)**(1\/56)\/((t*t\/(t**(-1\/4)*t)*t*t*t)\/(t\/(t*t\/t**1)*t)) assuming t is positive.\nAnswer: t**(-181\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -282 - -292. Suppose -2*s + 50 = 4*z, 14*z - k*z - 5*s - 15 = 0. Let a = 4 + 0. Calculate the smallest common multiple of a and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/21 + 54\/(-182)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 greater than or equal to 8079\/80?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 22*y**2 + 22*y - 29. Let v be u(21). Let k = -916 - -916.2. Which is the closest to v? (a) -1.1 (b) k (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2059784603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -375 or -377?\nAnswer: -375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103343469 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 + -50. Let p be (-5 - i) + -2 + 0. Suppose s - p = -5*v, -2*s + 25 = -v - 4*v. Solve -4*j - 2 = -s, 1 = -3*o - j for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 - -73. Suppose 0 = -3*p + 2*p + g. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 148, -364, -2162, -5888, -12184, -21692?\n\"Answer: -107*z**3 - z**2 + 240*z + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (5\/6)\/(1\/(-23)) and (-1)\/(-4) + (-398)\/(-40)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -6*y. Let t(g) = 155*g**2 - 45*g. Let l(f) = -7*f**2 + 2*f. Let q(j) = 45*l(j) + 2*t(j). Calculate i(q(d)).\nAnswer: 30*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 552191 is divided by 277.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.35 and -28448.\nAnswer: -9956.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(160)\/sqrt(4)*-5)\/((sqrt(8) + sqrt(72))*-1)*5 + -2 + 5)**2.\nAnswer: 75*sqrt(5)\/2 + 3269\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 5*u**2 + 3*u + 2. Let y be z(4). What is the closest to 2\/7 in 2, y, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 9:29 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 8:26 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.1 + -4. Let c be 1\/2 + 487\/70. Let q = c + -38\/5. Sort 2\/7, q, f in decreasing order.\nAnswer: 2\/7, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3110, 6214, 9318, 12422?\n\"Answer: 3104*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 23\/(-132) + (-4)\/(-12). Let p = 31\/748 - b. What is the biggest value in p, 2, 2\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 103 in -2\/5, -0.2, -1, 3350?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 13 + 2*-3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1248 - -1?\nAnswer: -1247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 52183000 to the nearest 1000000.\nAnswer: 52000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*c**3 + 24*c**3 + 54*c**3 + 34*c**3 + 33*c**3 + 26*c**3 - 195*c**3.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f - 75 = 2*w - 121, 2*f - 4*w + 4 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/50 of a meter?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -286001 (base 9) in base 8?\nAnswer: -525561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a factor of 49700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 3\/2 (b) 0 (c) -2 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-2 + 5) - -9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 + -5 + -14 - (-6 + (7 - -21))?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7848 and 895653?\nAnswer: 7165224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 227*k**2 - 139*k - 4. Let u(y) = 46*y**2 - 26*y - 1. Give 2*i(c) - 11*u(c).\nAnswer: -52*c**2 + 8*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (456\/798)\/((-20)\/(-7))*(-9)\/(7\/7)\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 3) + 0 + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8649503, 17298987, 25948449, 34597889, 43247307?\n\"Answer: -11*y**2 + 8649517*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6982.3 * 44.69\nAnswer: 312038.987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of z**4\/24 + 3*z**3\/2 + 10*z**2. Let j be ((-3)\/4)\/(57\/(-304)). Let w(s) = -6*s + 15*s - 7*s - j*s. Give w(c(h)).\nAnswer: -2*h - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 + 3*c**3)*(2 - 4 - 1 + 2*c) in the form z*c**3 + j*c + y*c**2 + v + i*c**4 and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b - 26 = -0*b. Suppose -281 = b*r + 585. What is r rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14770214, 29540408, 44310602?\nAnswer: 59080796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6 - 3 - (11769\/1288)\/3 and 115\/18.\nAnswer: 11592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -17 + 3 + (-2 - -8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + 16 + 4)*1. Let x = -17 + l. Let m(r) = 2*r - 5. Let u be m(x). Solve 3*i + 20 = 4*v, u*v - 8 = 3*v + i for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eighteen fifths of a tonne?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5721560 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11510151.5 rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 8, x: 1, s: 5, e: 2, h: 2}. What is prob of sequence xed?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3626.622nm in micrometers?\nAnswer: 3.626622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 33*v**3 + 2*v**2 - 2*v - 2. Let i(g) = 98*g**3 + 7*g**2 - 7*g - 7. Calculate 2*i(t) - 7*q(t).\nAnswer: -35*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 111\/2 - 43. What is the common denominator of (-12)\/3 - (0 - (-2)\/14) and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7150 + 7144.513. Let v = -0.39 + 5.99. Let a = c + v. What is a rounded to 2 decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and -0.59.\nAnswer: -3.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2 + 2*o - 1. Suppose -3*a = 23 + 13. Let x = a - -32. What is the remainder when p(5) is divided by x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 3*d + 2*f - 31, -2*d - 14 = 4*f for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -63 - -95. Let a be 9\/6*7000\/21. Suppose -18*y + 14*y = -a. What is the remainder when y is divided by p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40 divided by -775416\nAnswer: -5\/96927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 4*b - 8. Let p be o(3). Differentiate -3943*c + p + 3897*c - 3 wrt c.\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 4*a - 18, -a + 0*a = 2*z - 6. Let s be 6 - ((2 - 3) + z). Suppose 4*r = -s + 17. Solve -5*p = 4*d + 41, r*p + 3*d + 27 = -0*d for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 153*o**2 - 106*o + 196. Is 21 a factor of p(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 24?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -16. Let r be 2\/5 - 204\/(-190). Let u = -234\/133 + r. Which is the nearest to f? (a) u (b) 5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 646*l + 649*l - 2 - 1297*l. Let y(d) = 3*d + 2. Give -6*k(j) - 5*y(j).\nAnswer: -3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/2*5*2. Let v = i - -4. What is the remainder when 24 is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3016.\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.4, 5, 3\/17, -5?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(-1 - 1)*(-84)\/15540. What is the third biggest value in o, -4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -366 + 366 + 27*x**4 - 2*x**4 - 3*x + 3*x + (4*x**3 - 2*x**3 - 3*x**3)*(-x + 3*x - x) - 2*x**4 + 16*x**4 - 4*x**4.\nAnswer: 34*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 7*l - 8. Suppose 4*z + 7 + 5 = 4*b, -6 = -2*b + 4*z. Let m be t(b). Suppose -3 = 3*p - 2*c, 4*p - 2*c + 0 = -m. Is 4 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1091*m - 1076*m + 2287*m - 3000 for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1808 is divided by 151.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*o**2*s + 24*o*s + 4*o + 2*s + 293 wrt o.\nAnswer: -4*o*s + 24*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 3*f - 3, -3*f + 19*t = 24*t - 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 68 and 203201?\nAnswer: 812804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -4 + (4 - 3) - (-1 + -9)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10309.\nAnswer: 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -a8 (base 13) to base 3\nAnswer: -12010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*s - 11 = 0, -2*s + 4 = -6. Let i(y) = 66*y**2 - y. What is the tens digit of i(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tooztbozcoczzdobz. What is prob of picking 3 t and 1 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 642390.2km to micrometers.\nAnswer: 642390200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5, -26, -51, -74, -89, -90, -71?\n\"Answer: d**3 - 8*d**2 - 4*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 64 - -401526?\nAnswer: 401601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10134 + -50671\/5. Which is smaller: -571 or q?\nAnswer: -571","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4923*b**3*w**2 - 861*b**3*w - 1609*b**3 + 466*b**2*w**2 + b**2 + 28*b*w**2 + 2*b*w wrt w?\nAnswer: -9846*b**3 + 932*b**2 + 56*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 5*c + 85099 - 85093, b - 12 = 3*b + 2*c for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, -3, 0, -5 in descending order.\nAnswer: 0, -3, -5, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -1. Suppose -k*f + 9 = -f. Is 3 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 8) + (135 - 73) - (-1 + 15)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 71 and -2117.8.\nAnswer: -150363.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 8 + 24 = 0. Is f equal to 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1688228*n*y**3 + 8*n*y - 14307*n wrt y?\nAnswer: -10129368*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 16.52 in increasing order.\nAnswer: -1, 0, 16.52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - f + 3*f = 17, -5*s - f + 49 = 0. What is the remainder when (1 - 114\/12)\/((-1)\/2) is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0026822 rounded to four dps?\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/2 + 1029*v**2\/2 + 281799*v\/2 + 8645315\/2.\nAnswer: (v + 35)*(v + 497)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -9 - (-10 - (-7 + 0))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.9730856 centuries?\nAnswer: 1167.70272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*i**2 + 20*i**2 - 40*i**2 + 33*i.\nAnswer: -2*i**2 + 33*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52 + 48. Let u(f) = -f**3 - 5*f**2 - 6*f - 6. Let r be u(l). Let x be r\/10*(-5)\/2. Which is smaller: 5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 7*b - 0. What is the smallest common multiple of 6 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*u - 5*i, -4*i + i + 34 = 4*u. Let v be 15\/u*(-4)\/3. What are the prime factors of 6*(-4 + 8 + v)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2487364303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o - 4451 - 199 = 194*o for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 23231 (base 4) to base 3\nAnswer: 1000202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -147.857 - -148. Let y = j - 5.143. Let n = 9.93 - 10. Which is the third smallest value? (a) -0.1 (b) n (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 8.7, -25, 1, -4\/7, -0.2, -521?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3198)\/12)\/(1\/(-2)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x*x**(4\/7)\/x*x)*x*x**9*x assuming x is positive.\nAnswer: x**(73\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 20415 (base 8) to base 5\nAnswer: 232321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 424.5 - 44.3. Let m = q - 338. What is m rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 89 + 95 = 0. Suppose -9*u - 10 = -c. Let v(w) = 5*w - 6. Let q(z) = 4*z - 5. Give u*q(g) - 3*v(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -75*t + 17. What are the prime factors of r(-5)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = -669 + 1236. What is the remainder when s is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1259.73665 rounded to one decimal place?\nAnswer: -1259.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + -14 + 10 + -37?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w - 2. Let p = -48 - -35. Let n(m) = 2*m + 24. Let x be n(p). Calculate o(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**2 - 3*q. Let f(l) be the second derivative of -5*l**4\/6 - 7*l**3\/3 + 3*l. Calculate -14*c(b) + 3*f(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -538*f = -961*f - 13536 for f.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1.388+-71761653214\nAnswer: -71761653215.388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 18502, 18610, 18718, 18826, 18934, 19042?\n\"Answer: 108*m + 18394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -h - 2*z - 4, 0 = 5*h - 5*z - 10. Let r(d) = -10*d**2 - 11*d + 30. Let i be r(5). List the prime factors of 36\/(-126) - (h + i\/7).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 3.995. Let r = -0.81 - -0.8. Let l = r - q. What is l rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5 + ((1 + sqrt(1900))*-1)**2 + -4.\nAnswer: 20*sqrt(19) + 1906","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*c = -176. Is 12 a factor of (-2)\/11 - (-1196)\/c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -4\/7 (b) -8 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of 235*a**4\/4 + 71*a**3 + 2*a + 200. Find the second derivative of j(l) wrt l.\nAnswer: 1410","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -576*r = 391*r + 4710 + 125 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*q - 1 = -5*g + 23*q, 5*g - 2*q + 3 = 0. Calculate the highest common divisor of 139 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/9)\/(i**9\/i) assuming i is positive.\nAnswer: i**(-71\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3536 and 26123968.\nAnswer: 3536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 53124469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -79.94 - -81.24. Put b, -17, -3, -1 in increasing order.\nAnswer: -17, -3, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/12*266\/1862*2. Let g = 7 + -12. Which is the nearest to q? (a) 5 (b) -2 (c) g (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 8, 17, 40, 83, 152, 253, 392?\nAnswer: 575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnn. Give prob of sequence nn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-3 - 4) + (-9)\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-1 - (-10 + 5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j - 5. Let w(v) = 4. Let z(g) = -4*k(g) - 3*w(g). Determine z(-6).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1024, -25, 0.077?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132 - (164982\/(-4435) + 2\/10).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xb when two letters picked without replacement from {b: 2, v: 1, x: 1, n: 5, f: 6, m: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -330*u + 3653. What is g(11)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 52\/5 of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 105*p**3*u**2 + 8*p**2*u**2 + 2*p*u + 499*u**2 wrt p.\nAnswer: 630*p*u**2 + 16*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 8. Suppose x*j + 0 - 10 = 0. Suppose -j*w + 8 = 4. Solve 6 = 4*d - 4*q - 10, -4*d - w*q - 2 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 c when two letters picked without replacement from ygwccnrr?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44430 is divided by 11106.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/492 and 95\/7216.\nAnswer: 21648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 2 = -2*a - 4*v, 0 = -2*a + 2*v. Let i(w) = -3*w**2. Let z(m) = 7*m**2. What is a*z(o) + 5*i(o)?\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 3. Let g be 3\/(-1 - -4 - 2). Solve g*y - 2*y + 5*j = -10, 0 = -3*y + p*j + 30 for y.\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 h when two letters picked without replacement from {h: 4, r: 1, y: 2}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 6*a**2 - 265*a - 533. Give z(45).\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2 = -3*h + 16, 3*h = -3*o + 24. Let f be (h - 12)\/((-2)\/(-30)). Let c be f\/9*99\/(-55). Solve -a = a + 2*g - 18, -c*a + 4*g - 8 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 - -1620242 - (-48 + 53) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (35\/28)\/(2\/8). Let g(u) = u - d*u + 4 + 3*u**3 - 1. Is g(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9847 >= -9847?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4584 divided by 6\nAnswer: -764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 4912723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 - 743665*z**2 - 2230950*z.\nAnswer: -5*z*(z + 3)*(z + 148730)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 3*y - 21 = 0. Let u(i) = -i**2 + 9*i - 3. What is the least common multiple of u(y) and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -621 - -404. Let k = 34 - g. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**(-5)*k)\/k)\/k)\/k**7)**(9\/13) assuming k is positive.\nAnswer: k**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 436, 1701, 3804, 6751, 10548?\n\"Answer: a**3 + 413*a**2 + 19*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u**2. Let h(r) = 13 - 20 + 7 - 4*r. Give b(h(m)).\nAnswer: -64*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6816)\/704)\/71)\/((-6)\/(-16)).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*b, -b + 8 = 3*v + b. Solve 0*c + 2*c + 20 = -5*s, v*s + c = -16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21232310 (base 4) to base 11\nAnswer: -27a47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*t + 334 = -82. Solve b = 4*a + 17, -t + 8 = -b for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2. Let b(f) = -15*f**2 + 9*f**2 - 12*f**2. What is b(a(g))?\nAnswer: -18*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/19 (b) -3\/8 (c) -7 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.472 < -0.322?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a centimeter in micrometers?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -268 - -7847\nAnswer: 7579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 5 (b) 2 (c) 9 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.9 + 12.1. Let t = q - 9. Let r = 0.023499 - -0.776501. What is the nearest to -0.3 in t, -0.1, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 272, 3, -2, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42*b - 659227 + 658765 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/2 + 1113839*w**2 + 4455362*w + 4455364.\nAnswer: -(w - 2227682)*(w + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -2*p + 7, x - 1 = 3*p - 5. Let d = 4 - x. Find the second derivative of -4*o + 5*o + 2*o - 3*o**d wrt o.\nAnswer: -60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -744 times -0.4\nAnswer: 297.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 13) in base 4?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 + -2*(1 + -4). Suppose k - 396 = -2*k. What is the greatest common factor of t and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4590*w + 8360 + 15178 - 3934 = -44656 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2. Suppose 33 = 4*w - 5*g, 4*g = 4*w + 7*g + 7. Let t(f) be the third derivative of 0*f**3 + 3*f**w - 1\/6*f**4 + 0*f + 0. Calculate j(t(y)).\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -5\/2 (b) -59 (c) -3810\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*h + 3*o + 240 = 0, 0 = -1110*o + 1113*o + 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-6))\/(3 - ((-17)\/(-6) + 3)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h + 22 = 64 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyywqyw. What is prob of sequence yyww?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -523*x**2 - 522*x**2 - 515*x**2 + 1558*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 1278*q**2 + 2130394*q - 53344 = 0?\nAnswer: -1667, 16\/639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 1\/75, 3.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 7*t**2 + 15*t - 5. Determine g(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -10*y - 2. Let b be l(-1). Solve 2*c - b = -2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 = -8*b + 3*b. Suppose -3*r = 3*d + b, 5*r + 53 + 12 = 5*d. Let q(s) = -118*s - 7. Is q(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*4*((4 + sqrt(700) + -2 - -5*sqrt(700)*2) + sqrt(700) + (1*sqrt(700) - sqrt(700)) + -3 + sqrt(700) + sqrt(700) + 1 + -4))**2.\nAnswer: -17920*sqrt(7) + 2195456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u - 17*o + 98, 29*u - 31*u - o + 21 = 13 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 9*y + 35 = -3*n, 0 = 4*y - n - 28. Suppose y*c = 11 + 24. Solve 4*o + c = 3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 15071745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1111 divided by 852\nAnswer: 1111\/852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - k + 1. Suppose -2*v = -6*v - 3*x - 3, 5*v = -5*x. Let q(i) = -i**3 - 2*i**2 + 5*i + 4. Let l be q(v). What is a(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33638.45 decades in centuries?\nAnswer: 3363.845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -4*w + 1. Let l(b) = -b + 15. Let y be l(9). Suppose 3*t + y + 18 = 0. Let q(s) = 11*s - 3. Give t*g(h) - 3*q(h).\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.27 * 0.029\nAnswer: -0.00783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7513 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 9*r**2 + 4*r - 13. Let x = -326 + 329. Let d be g(x). What is the greatest common factor of 5 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2\/5, -3\/7, 139, 414 in descending order.\nAnswer: 414, 139, -2\/5, -3\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2358*c + 2336*c = -88 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - i**2 + 3)*(2 + 4 - 4)*(2*i**2 + 3*i**2 + 6*i**2) to the form r*i**3 + l + b*i**2 + c*i + p*i**4 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/104 and 9\/64.\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -9*u + 2*u - 385 - 45 + 43*u + 24*u. Determine k(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94753117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-616)\/(-76) + -8 + (-36)\/(-19).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14625 and 5265.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of 51*x + 0 + 2*x**2 + 11\/12*x**4 - 1\/60*x**5 + 0*x**3. Suppose j(d) = 0. What is d?\nAnswer: 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3, -13, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o - 11*o + 17136 = 0. What are the prime factors of o?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 181089 to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 33*t**3 + 2*t**2 - t - 4. Suppose -s - 4*s - 6 = -3*x, -2*s + 8 = 4*x. What are the prime factors of p(x)?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -4. Suppose -2*y = -h, 3*m = 3*y + 1 - 4. Solve -1 = -m*t + 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 598.894, -0.5, 0.1, 18, -0.06?\nAnswer: 598.894","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -179701, -179704, -179707, -179710?\nAnswer: -179713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4060.9 + 3429. Round m to the nearest ten.\nAnswer: -630","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53 - 49. Let z = 3.9994 - d. Round z to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (5 - (-1 - 5)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -519 by 6.\nAnswer: -173\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 15 - -3*493\/(-663)\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-1 - 8) + (2442 - 2383)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 6:02 AM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 0.2 (c) -16\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of -5*a**4\/8 + 8*a**2. Let q(m) = -m**2. Determine t(q(u)).\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -6. Let m = 1 + k. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 1 (c) -5 (d) -22\/7 (e) 53\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = p - 2*k + 4201, 2*p - 8402 = 2*k. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 954 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -10\/107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 444120, 444143, 444184, 444249, 444344, 444475?\n\"Answer: a**3 + 3*a**2 + 7*a + 444109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*p - 24 = 20*p. Is -7 + 415 + (4 - (p - 1)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -54*t + 54. Let g be z(1). Solve -5*l + 10 = 5*v, -3*l + 4 + 5 = g for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/1001682 and 55\/91062.\nAnswer: 1001682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r - 14*r = -50. Let g(t) = t**3 + 9*t**2 - 13*t - 26. Let d be g(r). Suppose 2*v = -2*o - 2*o + 70, 0 = 3*v - d*o - 135. Is v a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -248 - -247. Is s greater than or equal to -2\/377?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -3. Suppose a = 9 - 10. Sort 4, u, a.\nAnswer: a, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*h = 11, 3*n - 22 = h + h. Suppose -k = n*o - 16 + 99, 0 = 3*k - 15. Calculate the common denominator of -7\/10 and -13*7*(-1)\/o.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2 + 3*n - n**2 - 1 - 9*n + 2. Let p be r(-5). Calculate the greatest common divisor of 24 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v + 0*v + 0*v)*(5*v - 2*v - v)*(7 - 7 - 2*v) as j + k*v**2 + b*v + d*v**3 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10fb20 (base 16) in base 6?\nAnswer: -35504052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*o**2*q - 6443119*o**2 - 140*o*q - 119*q wrt q?\nAnswer: -7*o**2 - 140*o - 119","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 985271 a multiple of 204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 r when two letters picked without replacement from {f: 2, o: 2, q: 1, k: 1, r: 1, z: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*y - 65*y - 70 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3 - 1 - 1016*x + 1096*x. What is the units digit of g(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-33*(-88)\/1452)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 311804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + 5*k**2 - 13*k**2)*(0*k - 3*k + k + k + k - k - 3*k + 0*k + k + (3*k - k + 0*k)*(-2 + 3 - 2) - 1 - k + 1).\nAnswer: 54*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (24\/(-1950))\/(4\/(-230)). Let o = x + -4\/13. What is the nearest to -1 in 3, -1\/5, o?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75435663 to the nearest integer?\nAnswer: 8685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 175 - 177 - 11*j)*(-2 - 1 - 3).\nAnswer: 84*j + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -44 - -23412404020?\nAnswer: 23412403421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 6:17 AM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 868 and 3224.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20618?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b - 18723 = 118379. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13104\/1583400*50\/(-6)\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 14*p - 27. Let g be n(16). Suppose r - u + 47 = u, -3*r + g*u - 146 = 0. Let h = r - -87. Calculate the remainder when h is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51424 to the power of 1\/2, to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.64 + -1.64. Which is the nearest to s? (a) 0.028 (b) 1\/2 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 2*u + 50*u**2 - 122*u**2 + 60*u**2 + 3*u**2 - 4*u**2 + 0*u**2 + (-2*u - u + u)*(0*u - u + 0*u) + 1 - 2*u**2 - 1.\nAnswer: -13*u**2 - 2*u + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**4 + f**3 - f**2 - f. Let n(z) = -2*z**4 - 4*z**3 + 2*z**2 + 4*z. Let b(l) = 4*i(l) + n(l). What is the third derivative of b(r) wrt r?\nAnswer: -144*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 0)*(-6 + 0 + 1)*(-x - 3 + 3 - x + 0*x - x + (-2*x + 1 - 1)*(1 + 1 + 0)).\nAnswer: -70*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -11011?\nAnswer: 10110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 287774?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*2\/2 + 4. Suppose 0 = -c*w - 0*w + 14. Solve -2 + w = -5*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 5\/3, -427, 1\/2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -130 + 8842?\nAnswer: 8712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 618756 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 z, and 2 d when four letters picked without replacement from cddczhei?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 - -38. Let i be (-28)\/(-6)*1*54\/21. Let l = o - i. Solve -2 = 4*d + l for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 11*t - 15. Let w(g) be the third derivative of 1\/72*g**4 + 0*g**t - 1\/360*g**6 + 1\/630*g**7 + 0 - 1\/180*g**5 + 0*g - 17*g**2. Factor w(v).\nAnswer: v*(v - 1)**2*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -q**4 + 2*q**2 + 99*q + 9936 wrt q?\nAnswer: -4*q**3 + 4*q + 99","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6751b - -9?\nAnswer: -67512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.17 - -0.23. What is j rounded to zero dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of 1\/6*l**3 - 1\/120*l**6 + 1\/24*l**4 + 0*l + l**2 - 1\/60*l**5 + 0. Factor t(b).\nAnswer: -(b - 1)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from mzbjkjzkbjmkzzkmbk.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -30764b6 + 8?\nAnswer: -30764aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 5*v**2 + 2. Let p be n(5). Let u be ((p - 4) + 0)*20. What is the remainder when 15 is divided by ((-6)\/(-15))\/((-2)\/u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u**3 - u**2 + 7*u + 9. Let c be j(-1). Solve -o = -c*m - 2 - 3, 0 = 5*o - m + 13 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46699659 to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1882?\nAnswer: 2, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -18 - 0 - (-9 + (-2 - 23))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3251\/3 - 1050. Is g < 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2.25962ml?\nAnswer: 0.00225962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 + 20\/(-12).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**4\/7 - 15016*v**3\/7 + 4942080*v**2\/7 - 565410456*v\/7 + 21801156156\/7.\nAnswer: 4*(v - 3403)*(v - 117)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + g + 2*g + 121, 4*f - 2*g - 464 = 0. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4*o - 3. Let y be (-2 + 0 + -1)\/(-1). Let s(d) = -1. Let q(w) = y*s(w) - r(w). Let p(g) = -g. Give q(p(b)).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/25 of a kilogram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 + 82 = -18*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.223912 and -25.004?\nAnswer: 24.780088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -19324, -19326, -19328, -19330?\n\"Answer: -2*o - 19322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 45*q**2 - 728*q - 3466. Give t(20).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.506007618 rounded to 4 decimal places?\nAnswer: 5.506","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a day in minutes?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 7:25 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**14*a**(1\/2)*a*a\/((a\/(((a\/(a*((a**(-8)\/a)\/a)\/a))\/a)\/a))\/a)*a**(-3\/2))**47 assuming a is positive.\nAnswer: a**1128","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 39*u - 37*u - 2*o, 335 = 2*u + 73*o for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7087 divided by -1?\nAnswer: 7087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-360))\/(((-6)\/12)\/((-225)\/(-60))).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -19355 divided by 395\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*m + 30*m - 356 = 232 for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, i: 3}. Give prob of picking 4 k.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 110?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 139274 + 0.160586117?\nAnswer: 139274.160586117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + c + (0 + 0 + 1)*(-3*c + 3*c + c) - 2 + 2 - 3*c + 4*c - 3*c - 2*c + 1 - 1 + 3*c + (-5*c - 3*c + 4*c)*(2 - 3 + 4).\nAnswer: -11*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 11*d + 7*d)*(-84*d**2 + 254*d - 254*d).\nAnswer: -1764*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of t**4\/8 - 7*t**3\/6 + t**2\/2 - 1. Let z(b) be the second derivative of p(b). What is the units digit of z(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 3 + -37 + -2 + 7?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**3 - 17*u**2 - 3473*u + 37603. What is f(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 12:04 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 256*d**2 + 830*d - 81762. Calculate m(254).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b**2 - 717*b**4 + 2 + 4*b**2 + 8*b**2 - 1 + 729*b**4 as p*b**2 + o*b**4 + x*b + k + u*b**3 and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 - v**2 - v**2)*(101*v**3 - 2 + 56472*v - 56470*v + 0).\nAnswer: -202*v**5 - 4*v**3 + 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**27\/(d**(-5)\/d)*(d\/(d*d**(-1\/11)*d))**(-2\/11) assuming d is positive.\nAnswer: d**(4013\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4045883341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 505768247 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11297 - 989\nAnswer: -12286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ayaayayaaaa. What is prob of picking 2 y and 2 a?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18216.018901 - -18216. Let s = y + 0.02179. Round s to four decimal places.\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002002110010121201 + -11?\nAnswer: -1002002110010121212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 200845679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 130232537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 461 and 192.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27829053471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express v**3 - 3*v**3 - v**3 + (6*v**2 - 4*v**2 + 2*v**2)*(5*v + v - 2*v) in the form m*v**3 + r*v**2 + h*v + j and give m.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(450) + 0 + 4 + sqrt(450) - (sqrt(450) - (0 + sqrt(450)))*4).\nAnswer: 20 + 150*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -16.187 (b) 1\/2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 + 1 - 3 - (-232 + 214).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86667?\nAnswer: 3, 7, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.01, -3, 4, 2\/3, 1084, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(228)*-2 - sqrt(228)) + -3*-1*sqrt(228))\/(6*(sqrt(12) - (sqrt(12) + -2*sqrt(12) + sqrt(12)))*-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 0 + 1 + c**2 - 6. Calculate b(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j + 88*j + 8*j - 18*j + 90*j to l*j + u and give l.\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**2 - b + 1. Let j be f(1). Suppose -4 = 2*k - 4*k. Calculate the greatest common divisor of k and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l**3 - 3*l**2 + 16*l**3 + 11*l + 4*l**2 - 13*l to b*l**3 + c + f*l + h*l**2 and give b.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*i + 52 = 322 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 8 + -2 - (-33 + (12 - (62 - 21)))?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 214519, 214271, 213859, 213283?\nAnswer: 212543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -23, -23, -19?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/r**12)*r**(-4\/11))\/((r*r\/(r\/(r*r\/(r\/r**(-1)))))\/r)**(1\/45) assuming r is positive.\nAnswer: r**(128\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 2.32 (c) 1\/6 (d) 3\/8 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4783 and 7?\nAnswer: 4790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 (base 10) in base 13?\nAnswer: 26c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1131.\nAnswer: 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -151.5234 rounded to 0 decimal places?\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 132778 to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -7*j**2\/2 - 2*j + 217. Let d(c) = 6*c + 2. Determine -4*d(m) - 3*l(m).\nAnswer: -3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 2*f - 11 - 11, 16 = -3*y - 4*f. Let o(n) = -5*n - 45. Let j be o(y). Solve 5*x + 5 = -3*d - 1, 0 = 5*x + j for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1057*g - 3 + 1020*g + 44*g**2 - 2094*g - 2*g**2 + 2*g**2 - g**2 + (0*g + g + g)*(-5*g + 2*g + 2*g) - 2*g**2 - 3*g + 3*g.\nAnswer: 39*g**2 - 17*g - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, l: 1, t: 4, b: 3}. What is prob of picking 2 b?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -18030 divided by 6?\nAnswer: -3005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 36*p - 38. Determine t(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 4*s**2 - 1240*s + 42276 = 0.\nAnswer: 39, 271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5*sqrt(567)*3 + -1.\nAnswer: -3 + 135*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (8\/20)\/(1\/15). Solve -5*a - 20 = -5*t, 2*t + j*a = -0*a - 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 6*l + 8. Let q be o(-4). Suppose q = -z - 10 - 6. Calculate the common denominator of (-39 + 3)*20\/z and 12\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 5*y - 4*y)*(2*y**2 + y**2 - 4*y**2) + 2*y**3 - y**3 - 3*y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 t when three letters picked without replacement from {i: 4, f: 1, u: 3, t: 1, d: 2, w: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1115460 to the nearest integer?\nAnswer: 1056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -9*z**9\/56 - z**6\/120 - 37*z**5\/15 - z**3\/3 + 61*z**2 - 1. Find the third derivative of h(l) wrt l.\nAnswer: -9720*l**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k + 130. Let i(z) = 13*z - 621. Give 2*i(j) + 11*y(j).\nAnswer: -7*j + 188","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, v: 3, n: 4, p: 1, o: 4}. What is prob of picking 1 n and 1 o?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 319493 and 1679?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -162*t - 107*t + 178*t. Let m(i) = -i. What is m(o(s))?\nAnswer: 91*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 13*v**2 - 82*v. Determine k(7).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -76 + 77. What is the third smallest value in o, -0.01, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -3*z - 6 + 9, 5*s = 3*z. Suppose 0 = -2*j - 3*j + 10. Suppose j*w = 7*d - 4*d - 14, z*w = 2*d + 9. Is d a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4413396632?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18600 and 248?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 1480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27*2*5\/(-45)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v + 1. Let s(f) = -f**2 + f + 4. Let d be s(0). Let o be 10\/(-15)*6\/d. Let t be (o + 3 - 6)*-1. Give h(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*l + 2 = 101*l. Solve 2*b = -l*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -f, 0*i + 2*f = -2*i + 90. Let s = 85 - i. Let j(t) = -t**3 + 6*t**2 - t - 5. What is the remainder when s is divided by j(4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -165 + 2?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.6 + 0.1. Let v(n) = -n**2 - 4*n + 2. Let u be v(-4). Let q be 12\/(-18) + 1\/u. Which is the second biggest value? (a) q (b) 4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217743190939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**3 - y**2 + 2*y + 3. Let h be u(0). Let d(z) = h + z**2 - 44*z + 21*z + 24 + 8*z. What is the units digit of d(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 4:35 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 4:22 AM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/((-4)\/8)*-10. Let s = 8 + b. Let n = 29 + s. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 58 - 58. Let d(g) = -g**3 + g - 6. Let t be d(n). Let q(f) = f**2 + 5*f + 23. Let s be q(t). What is the highest common factor of s and 261?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 3*m**2\/2 + 4650*m + 64953\/2 = 0.\nAnswer: -3093, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -743 + 11163 = 876*j - 23688 - 14948 for j.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-832)\/416)\/((-32)\/(-64)*8\/(-254))?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 152, 313, 474?\nAnswer: 635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0*c - c - 1)*(-9*c**2 - 13*c - 17*c + 29*c) to h*c + s*c**2 + w*c**3 + l and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2894 and -0.4?\nAnswer: 1157.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-1 - (12 + -7) - -12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 399.0296l to millilitres.\nAnswer: 399029.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c**2 + 15*c + 5. Let s be o(-5). Sort s, 1, 3, -26 in descending order.\nAnswer: s, 3, 1, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*c**4 - 19*c**4 + 3*c + 9*c**4 wrt c?\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -3, -0.047215 in increasing order.\nAnswer: -3, -0.047215, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230*k + 2*x - 13156 = -232*k, -k + 3*x = -6578. Is k a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110001011011000101100100 (base 2) in base 3?\nAnswer: -220101020022000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 3*p - 2 - 2*p)*(4*p**2 - 3*p**2 - 2*p**2) - 6*p**3 + 4*p**3 + 3*p**3 + (-p - 3*p + 5*p)*(-p**2 + 2*p**2 + 0*p**2) + 0*p**3 + 3*p**3 - p**3.\nAnswer: 3*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r = 8*r, -2*o = -5*r - 6. Let g(s) = s**3 - 2*s**2 + 2*s. Let u be g(2). Solve u*v + o = -5 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 128 + -127.998. Let a = -0.098 - l. Are a and -1.2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u*(u*u\/((u*u**(2\/13))\/u))\/u)\/u)\/u*u*u\/(u*u**7*u))**(4\/27) assuming u is positive.\nAnswer: u**(-320\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12115 (base 6) to base 2.\nAnswer: 11011101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6394278 + 0.152\nAnswer: -6394277.848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 20*w + 61. Let u be m(19). Calculate the greatest common factor of 32 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*n - 25*n - 20 = -2*t, 0 = -3*n + t + 20. Let c(b) = b**3 - 12*b**2 + 6*b + 16. Calculate c(n).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**8)**(1\/5) assuming k is positive.\nAnswer: k**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 - 12. Suppose t + 5 = l. Let f(m) = m - 3. Let r be f(t). Sort 1, 5, r in increasing order.\nAnswer: 1, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8733712?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -128*g - 3 - 3*g**4 - 104\/3*g**3 - 128*g**2. Factor c(w).\nAnswer: -4*(w + 4)**2*(3*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*q**3 + 2 + (22*q - 23*q - 17*q)*(0*q**2 - 4*q**2 + 2*q**2) + q**3 + 0*q**3 - 2*q**3)*(-5*q + 5 - 5).\nAnswer: -165*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b - 4*b + 6*b)*(3*b - 4*b + 2*b) + (-204*b - 278*b + 242*b)*(2 + 2*b - b - 2*b) to the form p*b**2 + u + n*b and give p.\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, -18, -2, 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 176 + -38. Let i = 224 - o. Is i a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27*8\/(-504)*56\/12\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-91)\/21 + 4\/(-3)*-3. What is the closest to 2\/7 in -3, y, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 8076 - 8076 + k**2. Let h(r) = -566*r + 2. Calculate h(l(z)).\nAnswer: -566*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3506.\nAnswer: 2, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 16 = 3*c. Let r be -2 - ((-2)\/(-2) + -21). Let h = c + r. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 c when two letters picked without replacement from {e: 4, d: 4, i: 5, c: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1157, -2313, -3469?\nAnswer: -4625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o - 5*o + 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g**2 - 5*g + 5. Let l(m) = m**2 - 4*m + 4. Let i(s) = -2*s**2 + 9*s - 9. Let h(v) = 2*i(v) + 5*l(v). What is -10*h(t) + 4*n(t)?\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47 and 752?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(567) + -5.\nAnswer: -2 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1085 + -1100. Put 5, w, -1, -3 in increasing order.\nAnswer: w, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s\/(s\/((s*s**(-29)*s)\/s))))**26 assuming s is positive.\nAnswer: s**780","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 212141\/8265 + -2\/2755. Sort -2\/3, l, -0.1, 4.\nAnswer: -2\/3, -0.1, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-516)\/24)\/43*16\/1\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-seven halves of a gram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -23079637 divided by 9961\nAnswer: -2317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 - 11. Calculate the least common multiple of 16 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*q - 25 = 47*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 7 - 4*k**2 - 15 - 3*k**2 - 103*k**3 - 6*k + 106*k**3. Let q(w) = -w**2 - 2. Let a(o) = b(o) - 4*q(o). Solve a(u) = 0 for u.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 not equal to -20433\/1742?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 3, -72 in descending order.\nAnswer: 4, 3, 0, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -194*y - 150 - 44. Put 14, -2, y, 1, -9 in descending order.\nAnswer: 14, 1, y, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from {c: 1, d: 4, w: 1, g: 7}?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (1 - 1)) + 5 + -5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 909*n**2 + 2176*n**2 + 2843*n**2.\nAnswer: 5928*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 4:28 AM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 236588 by 22.\nAnswer: 10754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-103077)\/(-18501))\/((-24)\/(-14)).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 344694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 4*i + 4, 2*b + 5*i - 31 = -13 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 150, 103, 36, -45, -134, -225, -312, -389?\n\"Answer: z**3 - 16*z**2 - 6*z + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/((45\/(-132))\/(-3)). Let f = u - 35. What is the nearest to 0 in f, 3, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 19*k = 36. Suppose -4*h = -7*h - 5*y + 10, -3*h - 2*y = -k. Solve -8 = 4*l - h*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 5*v - 15 = 0. Solve 0 = 3*b - 0 - v for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**24*o)**(10\/7)*((o\/(o**(-5\/11)*o))\/o)\/(o\/(o*o*o**1)*o) assuming o is positive.\nAnswer: o**(2785\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 1:45 AM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 812812528 to the nearest integer?\nAnswer: 28510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.241 + 0.059. Let c = j + 0.3. What is c rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 + 42. Calculate the lowest common multiple of 8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*k + 2*s + 2959 = -42*k, 4*k = 2*s + 3948. Let d = k + -985. Sort -3, d, 0, -13\/2 in decreasing order.\nAnswer: d, 0, -3, -13\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.6 + -3.6. Let l = -0.528 + 0.028. What is the closest to -2\/9 in l, a, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -1\/6, 0.2, -2\/161, 5.\nAnswer: -1\/6, -2\/161, 0.2, 2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h + h**2 + 2 - 7 + 0. Let p be q(-5). Suppose 2*d - p*m = 16 - 2, 28 = 2*d + 2*m. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 12\/11 and 34\/1823.\nAnswer: 20053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(6\/5)*z\/(z*z**1)*z*(z*z\/z**8)\/z*z*z\/(z\/z**(-3\/7)))**26 assuming z is positive.\nAnswer: z**(-4758\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5 - 5 = -5*y, 3*y = -4*z - 8. Let v = y - 11. Is 10 a factor of (4\/(-10))\/(v\/525)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 <= 1112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.33374 centimeters in millimeters?\nAnswer: 73.3374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/2 - 978913*q\/2 - 489456.\nAnswer: -(q + 1)*(q + 978912)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 38259*u**3\/5 + 156612*u**2\/5 + 33468*u + 14304\/5 = 0.\nAnswer: -2, -1192\/12753","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 523 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 44089356793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -t + 6*t - 4*y, 0 = -4*t + y + 24. Suppose 5*i = t + 4. What is the second derivative of k**3 + 28*k**2 - 2*k**3 - 28*k**i - 3*k wrt k?\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 6. Suppose t*b + b = -3. Is 16 a factor of 50 - (-9)\/(-3) - b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*l**3 + 77*l**2 + 560*l - 3027447.\nAnswer: 9*l**2 + 154*l + 560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eeeaeeeeaeeaeeeeeeaa?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-567)\/((-178605)\/450))\/(2\/((-336)\/(-10)))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1503, -1516, -1537, -1566, -1603?\nAnswer: -1648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mwtt when four letters picked without replacement from hhwmahjhhhtwhtjahhwh.\nAnswer: 1\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (-4 - (7 + -23)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -5593\/2 and 1.02 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5 = 5*s, -3*u - 2*s = 3*s - 10. Let m(v) = 2. Suppose -2*b - 2*b = -36. Let l(n) = -b - 8 + 12 - n. What is u*m(j) + 2*l(j)?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10683 divided by -3?\nAnswer: 3561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*t + 9, 0 = -5*p - 4*t + 3943. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9025949 and 51?\nAnswer: 9026000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 111, 150, 169, 162, 123?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/15 and 17\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299455 is divided by 788.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-61*w + 92*w + 38*w)*(4 - 4 - 2*w**3) + (2*w**2 - 2*w**2 - w**2)*(-3*w**2 + w**2 + w**2) to the form g*w**4 + r*w**2 + v*w + n + u*w**3 and give g.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5*b - 130 = 0. What is the remainder when b is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300071789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 f when two letters picked without replacement from nfnqhfnnu?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 212324*u**3 - 2*u**2 - 212289*u**3 + 3*u**2 + 65*u.\nAnswer: 35*u**3 + u**2 + 65*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1004929978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 236916 and 33012?\nAnswer: 217251972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/4)\/(k\/(k**(4\/11)\/k)) assuming k is positive.\nAnswer: k**(-61\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 106*x - 623. Calculate i(0).\nAnswer: -623","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192 = -6*i - 234 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 405 = -2*s. Does 27 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 5*o**2 + o. Let y be a(5). Suppose 4*z = 3*z - y, 4*w - z = -7. Let i = -10 + 11. Sort w, i, -5.\nAnswer: -5, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.51 to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/159521910 or 1?\nAnswer: 1\/159521910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 3*r + 3, -4*r + 2*i - i - 4 = 0. Let m = -10 - -15. Let c = m - 7. Which is smaller: r or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*x + 471 = -2*x, 3*x - 159 = -i. What are the prime factors of i?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 222 (base 4) to base 11\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.81 to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*m**4 - 10332*m**3 - 981516*m**2 + 1322496*m - 442368.\nAnswer: -3*(m + 192)**2*(3*m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -73 - -73.2. Let t = -1 - -0.8. Is t greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -11906, -23810, -35714, -47618, -59522, -71426?\n\"Answer: -11904*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 2 = n, 2*n = 5*h - 64. Let l = -7 + h. What is the nearest to 0.2 in l, 5\/2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25543 and 14329?\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*u**2 - 36*u**2 - 29*u**2.\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.05 or -74818?\nAnswer: -74818","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/2)\/2)\/((-97)\/194)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -153721, -153724, -153727?\n\"Answer: -3*t - 153718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -12. What is the second smallest value in -1, s, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/3 + (-11549)\/3)\/((-1404)\/(-1982448)). What is a rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*2\/(-4)*-4. Let g = -351648 + 351654. Solve y*w + g = -w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**2 - 5*p**2 + p**2 + (5 + 2*p - 5)*(-p + 2*p - 3*p) + p**2 + 2 - 2 + p - 3 + p - p + 2*p**2 to the form v*p**2 + z + g*p and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*3*(-280)\/(-140)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3219, -3214, -3205, -3192, -3175, -3154, -3129?\nAnswer: -3100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.2309 + -1.2009. Which is greater: 249 or t?\nAnswer: 249","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (1 + -6) - (2 + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/p**(-7)*p)\/p)\/p*p*p)\/(p*p\/(p*p**(-1\/10))))**26*(p**(-1))**(3\/28)*p**(1\/8)*p*p**(1\/2)\/p assuming p is positive.\nAnswer: p**(57657\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 6 - 2. Suppose 0 = -2*f - f - 5*h - 2219980, 2959996 = -a*f - h. Round f to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1057, 5, -2 in descending order.\nAnswer: 5, -2, -1057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**3 - 54*u**2 + 21*u**2 - 3*u + 17*u**2 + 16*u**2.\nAnswer: 4*u**3 - 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of 3\/4*m**4 + 23\/30*m**6 - 7*m + 0*m**3 + 0 + 0*m**2 + 0*m**5. Find the third derivative of x(c) wrt c.\nAnswer: 552*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280 = -5*i - 2*s + 1225, 0 = 4*i - 2*s - 774. Suppose 119 = 4*c - h - 36, i = 5*c - 4*h. What are the prime factors of c?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6669716?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -28772, -30058, -31344?\n\"Answer: -1286*d - 27486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2652b - 22a?\nAnswer: 26301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 166, 491, 1032, 1789?\n\"Answer: 108*v**2 + v + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence huo when three letters picked without replacement from hohuh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -20*r**2 + 138*r + 1168. Calculate i(12).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -5*o**3\/3 - 65*o**2 - 525*o + 879. Factor a(p).\nAnswer: -5*(p + 5)*(p + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u**3*u))\/u)\/u*u**(-4\/9))**(2\/79)*(u**(-1))**11*u**(-2\/9)\/(u\/(u*u*((u*u**4)\/u)\/u)) assuming u is positive.\nAnswer: u**(-5233\/711)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -450, -528, -724, -1098, -1710, -2620?\nAnswer: -3888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 + 14*h**3 - 4 + 6 in the form z + g*h + v*h**2 + w*h**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 62149521559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1403 - -1401. Suppose 3*x - 317 = o, 5*x - 3*o = 2*o + 515. Is x - j*1\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.07 - 0.07. Is t at least as big as -3\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyllytyttglwyla. What is prob of picking 2 t and 1 l?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o - 5*t + 79 = 8*o, -11*o - 37*t = -9*o - 635 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (0 - (7 + -17 + 10 + -7))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/18*8\/(-48)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1911277991 to the nearest integer?\nAnswer: 1241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c + 15 = -17*c. Let h = 25 + -20. Solve -5 = -c*p + h for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 11?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eorereeeeererore. What is prob of sequence rr?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 163551729 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 1. Let n = -4.4308 - 0.5737. Let t = w - n. Round t to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1197, 1198, 1199, 1200?\n\"Answer: r + 1196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 0.4 (c) -34 (d) 0 (e) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 150400194.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 222.99999655 + -223. Round n to 7 dps.\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 7945792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 3*u + 15, 15 = 4*x - 5*u - 0. Let c be (15\/6*-1)\/(x\/(-8)). Solve 2*s = c - 8 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0.03, -389, -3\/5 in increasing order.\nAnswer: -389, -3\/5, 0.03, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -1\/4, -0.368, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*g**4 - g**3 + 0 + 0 + 2437*g - 2443*g to the form s + c*g**4 + a*g + q*g**2 + x*g**3 and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/7 + 367392*y**2\/7 + 1836935*y\/7.\nAnswer: y*(y + 5)*(y + 367387)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*u**2 + 34*u**3 - 20*u**2.\nAnswer: 34*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 1\/8, -0.033?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.495, -1, 2, 1\/6, 3, 121 in ascending order.\nAnswer: -2, -1, 1\/6, 0.495, 2, 3, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0333 - 98.3667. Let t = o + 98.39138. Round t to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 11:30 PM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 69 and (17 + (-3 - -1))*2.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61733452951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -3.33 (b) 1 (c) 12\/2069\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -203, -406, -609, -812?\n\"Answer: -203*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28220 or 19999?\nAnswer: 19999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17911 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 2 = 22 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 12 - 3. Let b(l) = -k*l + 1 - 1. Let j(u) = -u**2. Calculate j(b(o)).\nAnswer: -25*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 25 = 2*s - 624, 4*s = 4*y + 1300. Calculate the remainder when s is divided by 266.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -586 - -593. Let p(d) = 10*d**2 + 9*d - 28. Let l be p(v). What is the greatest common divisor of l and 150?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2*q**5 - 8*q**4 - 12*q**3 - 8*q**2 - 2*q = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 101, 240, 445, 722, 1077, 1516?\nAnswer: 2045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -153 - -64. Let s = f - -94. What is the lowest common multiple of s and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -940*q - 4159. What is n(-4)?\nAnswer: -399","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -30, -62, -106, -162, -230, -310?\nAnswer: -402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -6*u. Let p(y) = -40*y. Determine p(c(f)).\nAnswer: 240*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -0.5, -73445, 3, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16714813 (base 9) to base 13.\nAnswer: -197c217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (32 - 21 - -11) - 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -95 (base 10) to base 6.\nAnswer: -235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44466376?\nAnswer: 2, 5558297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c + 4. What is the units digit of p(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(((o*o**(-1)\/o*o)\/o*o)\/o*o))\/o)\/o*o**(-1))**33\/(o**(-2\/17))**39 assuming o is positive.\nAnswer: o**(-1044\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x + 20. Give i(-10).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l - 18. Let y be -3*((-1 - -1) + (-318)\/18). Let s = y + -60. Let d be r(s). Solve 0 = k + d - 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 3*b**2 + 6*b. What is n(5)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18.59806 - -18.6. What is a rounded to four dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q - 5. Let p(m) = -2*m + 1. Let a be p(2). Let i(d) = -d + 4. What is a*s(b) - 4*i(b)?\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (49\/(-2))\/7*(-24)\/56. Let l = -7 + 3. Which is the closest to l? (a) x (b) 4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n - 102 = -3*n. Calculate the lowest common multiple of n and 3 - (1 - 10)\/1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1033 at least 1035?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 116*k**4 - 35*k**2 - k?\nAnswer: 2784*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*r - 4428 = 11199 + 1543 for r.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 26.67724 millilitres?\nAnswer: 0.02667724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/sqrt(5) + -5 + (-1*sqrt(64) - sqrt(64) - sqrt(64))\/sqrt(2))**2.\nAnswer: 90*sqrt(2) + 187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -26970*t - 80911. What is h(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6213 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9549 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -30*d + 2403. Let y be v(80). What is the highest common factor of y and 183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 321896.\nAnswer: 2, 40237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**3 + 1110*u**2 - 5493*u + 6570 = 0 for u.\nAnswer: 2, 3, 365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5856 and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 12:13 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 101 + -99. Let b(h) = 2*h - 38. Let l be b(16). What is the third smallest value in -9, p, l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92122317.\nAnswer: 3, 7, 19, 76961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3210 + 10226. What is the hundreds digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 5*a + 16 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + d = -4, -6*i + i = -3*d + 2. Let b be (-2)\/4 + i\/2. What is the units digit of (-4 + (-3)\/(-3))\/b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j + 5. Let f = -42 - -36. Let k(q) = q**2 + 5*q - 8. Let s be k(f). What are the prime factors of a(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.2, -3, -2\/3, 1346?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/6 + -1 + (-1354)\/(-6).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)*-2*-5 + (sqrt(170) - sqrt(170)*1*1))\/((-2*sqrt(2000))\/(sqrt(14)\/(sqrt(21)\/sqrt(3)))).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 427883 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 163*s**5 - 4*s**3 - 2*s**2 + 428*s.\nAnswer: 9780*s**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 68144636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*m = -12. Let j be ((-6)\/(-12))\/(2\/16). Let z(d) = -d. Let b be z(-3). Solve 3*i - j = m*o - i, 3*o = b*i for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, c: 2, x: 3, i: 2, s: 4}. Give prob of picking 4 s.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-168*k - 567*k - 370*k - 7*k - k)*(-3*k + 4*k**2 + 3*k) to x*k + y + b*k**2 + o*k**3 and give o.\nAnswer: -4452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-10 + 9 - 9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 183919, 2, -67, 3 in descending order.\nAnswer: 183919, 3, 2, -4, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 585?\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10748 + 32260 + 2*b - 10837 - 10764.\nAnswer: 2*b - 89","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 7*c + 21. Let i be k(5). Is 13 > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 i when two letters picked without replacement from iyvpo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 264654, 529308, 793962, 1058616, 1323270, 1587924?\nAnswer: 1852578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, b: 3, e: 1, y: 6}. Give prob of sequence hbb.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*k - 16*k + 4 + 2)*(197*k**4 - 31*k**4 - 8*k**4).\nAnswer: 316*k**5 + 948*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 24*c**3 - c**2 - 14*c + 15. Let d be i(1). Calculate the greatest common divisor of d and 1272.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -3*q**2 - 7*q + 2. Let w be x(-2). Suppose 11 = w*n + k, -3*n + n - k + 5 = 0. Solve n*u + 10 = -3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**3 - 16*z**2 - 44*z - 42. What is q(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 323690 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -700 divided by 2\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -76 in -4\/9, 0, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 6. Let b(q) = 2*q**2 + 7. Let l(f) = 6*b(f) - 7*x(f). Let y(m) = -57 + 26 + 31 + 2*m. Determine y(l(o)).\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1967206 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2581*w**3 + 34 - 4994*w**3 + 2412*w**3.\nAnswer: -w**3 + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 y, and 1 h when four letters picked without replacement from yziyydhidyyydychd?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 76721 to the power of 1\/2, to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 7:30 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u. Let c(g) = 71*g. Let w(f) = -f. Let m(t) = -c(t) + 6*w(t). Determine z(m(x)).\nAnswer: 154*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 139285187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 9:15 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + y - 108, 0*y + y = -2. Suppose z = 4*w - 2*d, -w - d + 0*d = 2. Solve w*a + 2*a + 10 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (-3)\/((-3)\/(-20)). Let p = -7 + x. Calculate the smallest common multiple of 2 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 992.129 millilitres to litres.\nAnswer: 0.992129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 124558.7 * -0.08\nAnswer: -9964.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7010?\nAnswer: 2, 5, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2499413143 to the nearest integer?\nAnswer: 1357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123, 813, 2551, 5817, 11091?\nAnswer: 18853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -24*w**2 + 21*w + 7. Let k(g) = 82 - g - 166 + 85. Let s(r) = 6*k(r) - o(r). Find the second derivative of s(v) wrt v.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 13*i**2 + 3. Let k be h(-2). Suppose 3*x - k = -2*x. Let c be -11*((-78)\/12 - (-2)\/(-4)). Calculate the greatest common divisor of x and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398120 plus -24599910?\nAnswer: -24201790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 82145*f**4\/3 - 8378792*f**3\/3 + 5503783*f**2 - 8214902*f\/3 + 200\/3 = 0?\nAnswer: 2\/82145, 1, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-3)\/(-8))\/(24\/292) and -45\/46.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 24205174?\nAnswer: -24205174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + o - 1)*(11*o**2 - o**2 + 5*o**2) - 48*o**3 - 24*o**3 - 8*o**3 in the form v*o**2 + s*o**3 + h + z*o and give s.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302866263?\nAnswer: 3, 7, 1249, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.592 + 0.74\nAnswer: 0.148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + -18. Let v be p\/(-4) - -3 - -4. Suppose w + 2*j + 2*j = v, w + 2*j = 6. Is 4 smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 9 - (-59 - -57).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1623 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002393436968 to seven decimal places.\nAnswer: 0.0023934","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -105 - -133. Suppose -2*b + 46 = -2*h - 2*h, -2*b + i = 2*h. Solve 24 = p - 5*w, 5*w - b = 4*p - 53 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 108\/(-16)*(-8)\/6. Suppose 5*z - 12 = l, 0 = -8*l + o*l - 3*z + 6. Let c(y) = -y**2 - y + 2. Determine c(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*u - u - 4*u + (-1 + 0 + 0)*(4*u - 1 + 1) - u - 2*u + 5*u + 5*u + 7*u - u + (u + 4*u - 4*u)*(-2 + 2 + 2) in the form t*u + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -20*y**2 - 24*y. Let i(d) = -8*d**2 - 10*d. Let v(h) = 5*c(h) - 12*i(h). Let g(x) = 22*x. Determine g(v(s)).\nAnswer: -88*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -5, -0.1, 0.3, 2, -1\/3 in increasing order.\nAnswer: -5, -1\/3, -0.1, 0.3, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 466818, 466823, 466832, 466845, 466862, 466883?\n\"Answer: 2*f**2 - f + 466817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 135 = -5*v, m - 11 + 2 = 5*v. Calculate the highest common divisor of 36 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202108507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/sqrt(4) - sqrt(7)) + 0 + -3 + -4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 2 q, and 1 e when four letters picked without replacement from {e: 1, d: 1, q: 2, n: 3, m: 3, s: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 2)*(-3 + 3 - 3*w) + w + w + 4*w.\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1370*182.\nAnswer: -249340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 8:03 PM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*k**3 + 10*k**2 - 15*k**4 - 23*k**3 - 24*k**3 = 0. Calculate k.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4*f**2 - 29*f - 395. Determine z(-25).\nAnswer: -2170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -243 - 548*g + 243 - 667*g to the form h + m*g and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2 + i - 3 + 9. Suppose -18*d = 2030 - 1922. Let u be x(d). Solve 0 = 2*j - 4, -3*j = -4*v - 0 - u for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(1400)*-1)\/(3*sqrt(343)*-2).\nAnswer: -20*sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 7*s - 3. Let n be g(-7). Let j be (n + 1 - -2) + 4 + -2. Let t(h) = 5*h - 63 + 65 - j*h. Let p(o) = -7*o - 5. Calculate -2*p(m) - 5*t(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*o**5\/6 - 10*o**4\/3 + 70*o**3\/3 - 80*o**2\/3 = 0. What is o?\nAnswer: -8, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-32)\/(-14) + 18\/(-63). Suppose -1 - r = -y. Factor 1\/4*d**y + 1\/4 - 1\/4*d - 1\/4*d**2.\nAnswer: (d - 1)**2*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -145500 by -7275.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -0*v - 10, 4*o = 4*v - 180. Let s be (5 - 1)\/(8\/(-52)). Let r = s - o. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 7*k + 17. Give o(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -27 - 1225?\nAnswer: -124c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -89*t**2 + 40*t - 280. Let v(h) = 49*h**2 - 22*h + 154. Let f(x) = -20*v(x) - 11*z(x). Let k(u) = 0 + 47*u**2 + 0. Give k(f(b)).\nAnswer: 47*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 336*h + 2694. Let o be g(-8). Put o, -3, 3, 91 in decreasing order.\nAnswer: 91, o, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 897098.5kg in grams?\nAnswer: 897098500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 726\/(-726)*(-2)\/(-52)*-8?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-20)\/(-2) + (-138414)\/(-918). Is b equal to 161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/3))**10*(m\/m**(-15))\/(m\/(m*m**(3\/2))))**(-1\/11) assuming m is positive.\nAnswer: m**(-125\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.09 and -613.502.\nAnswer: -55.21518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + r**2 - 1. Let f be (-6)\/(-18) - 32\/24. What is u(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/(-18))\/(6\/9))\/(-1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 2\/47 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*s - 280 = -3*s. Solve s = -10*t - 15 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 h when three letters picked without replacement from lllhulrrrrllrrurcr.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*y - 5 = 0. Let s = -99 - -102. Let p be 2\/2*(-10 - -10). Solve p = s*u - y*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 11) to base 4.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/237 and -1\/30.\nAnswer: 2370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 282 and 13254?\nAnswer: 13254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*m + 52 - 11 = 0, -2*m - 52 = -4*g. Suppose -g = -5*k + 289. Let b be k\/((-399988)\/(-200000) + -2). Round b to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*t + 6 = 0. Suppose 0*l - 4*y = -t*l + 68, 2*y = -l + 30. What is the highest common factor of 80 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -217 - -229. Let i be (-5)\/(-2) - ((-42)\/y - 1). Put -10, 2, i in decreasing order.\nAnswer: i, 2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -4*n + 6*n. Let p(g) = -4*g - 7. Let r be p(-13). Let b = n + r. Calculate the remainder when 57 is divided by b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c + 6*c + 283*c**2 - 285*c**2 + (-6*c**2 + 5*c - 5*c)*(3 - 4 - 3).\nAnswer: 22*c**2 + 8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 1841 divide 9657886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/58*(-27463)\/9470. Let y be 10\/84 + 4\/(-14). What is the closest to y in h, 0.8, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-4)*-9)\/(((-59)\/177)\/((-15)\/9)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 12*n**2 + n - 2. Let f be q(-12). Let p = f - -66. What are the prime factors of p?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 18 = n, -18*i = -3*n - 13*i + 24 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + 11)*(-1)\/2. Let y = 1.08 + -1.38. Sort i, 0.2, y in ascending order.\nAnswer: i, y, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*t - 49*t + 73*t = -736. Let q(n) = -6*n - n + 2*n**3 + 8 - 3*n**3 - 9*n**2. What is q(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -239 - -4769\/20. What is the common denominator of p and 143\/6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 15) to base 14\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*((-144)\/15)\/(-8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -3, -33, 0, 6.\nAnswer: -33, -3, 0, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1\/7 (b) 3\/2 (c) -368\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/6)\/((-2)\/(-4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1105 divide 2140940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2758 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + w = -6, -3*y = -5*w - 4. Let g = 7 + y. Factor -2*q**2 - 2*q**5 - q**4 + 3*q**2 + 5*q**g - 3*q**3.\nAnswer: q**2*(q - 1)*(q + 1)*(3*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 2455*a - 5 - 1133*a + 1181*a in the form m*a + s and give m.\nAnswer: -2407","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (17\/51*(4232 + 2 + -2))\/(70\/30). Suppose m + 2\/7*t**2 + 184\/7*t = 0. What is t?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -4*p - 98. Does 27 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -4*u. Let t(p) = -4*p - 4 + 4. Determine t(d(s)).\nAnswer: 16*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*q + 2 = 57*q. Which is the third smallest value? (a) 12\/7 (b) 1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -183*o. Let d(g) = -11*g**2. Determine d(j(x)).\nAnswer: -368379*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 10*c**2 - 141*c + 26. Let s be n(14). Solve -s = 130*y - 127*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (9\/45)\/((-28)\/(-561820))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, l: 3, k: 9, v: 3}. What is prob of sequence vekl?\nAnswer: 27\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 4*z + 5*c, 5*z - 4*c - 30 = 110. Suppose 0 = -33*u + z*u + 8965. Suppose -4*k = -15*k + u. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2856616*h**3 + 5278*h**2 - 5278*h + 5278. Let d(l) = 1624*l**3 - 3*l**2 + 3*l - 3. Give -10556*d(c) - 6*i(c).\nAnswer: -3248*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*4*sqrt(102))\/(sqrt(72)\/sqrt(432))*4*-5)**2.\nAnswer: 97920000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.49 take away -27720.11?\nAnswer: 27720.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -105, -0.0519, 0 in increasing order.\nAnswer: -105, -0.0519, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -z**4\/4 + 5*z**3\/3 + 4*z**2 - 7*z + 1. Let x be c(6). Suppose -x*v = -29 + 4. Is 5 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v**3 + 2*v**2 - 11*v + 38. Let t be c(3). What is the greatest common factor of t and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -318 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 91*a**2*q**2*t**3 + 121*a**2*q**2*t - a*q**2*t**3 - 310*q**2*t**3 - 34*q**2*t**2 wrt a.\nAnswer: 182*q**2*t**3 + 242*q**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 16241068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 85*b - 2973. What is o(34)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iyiiyiyimq. What is prob of sequence qi?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 1 (b) -3\/2 (c) 34 (d) -2 (e) -6373\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 144*k**6 - 301*k**4 + 64*k**2 + 1787*k wrt k?\nAnswer: 17280*k**3 - 7224*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (2 - 4) + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of q**2 - 2*q - 2. Let m(o) be the second derivative of -2\/3*o**3 + 2*o**2 + o + 0. What is -9*h(l) - 4*m(l)?\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7920\/(-24) + 24)\/5. Which is smaller: a or 0.03?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3121635 - -2522?\nAnswer: 3124357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -93294669*n**3 - 22154459*n.\nAnswer: -559768014*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 49844 and 860744.\nAnswer: 630925352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36*n**2 + 4017*n - 513560.\nAnswer: 72*n + 4017","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*j + 3, 0 = -d - 5*j + 43097247. Suppose 0 = -8*k + 235097237 - d. What is k rounded to the nearest one million?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*w + 7 + 5, -2*w - 10 = 0. Let f(a) = -a. Let c(p) = 1 + 3*p - 2 + p. Give b*f(r) + c(r).\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1347 is divided by 82.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -670.93 + 675. Let s = 0.07 - v. Which is the smallest value? (a) s (b) -0.4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2))**(-37)\/(g**2\/g**(-1\/23)) assuming g is positive.\nAnswer: g**(1655\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/3 - 158*k\/3 - 53.\nAnswer: (k - 159)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 3:08 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = g - 10. Let a be (70\/(-49))\/(g\/(-14)). Suppose 0 = 2*u - a - 0. Calculate the remainder when 14 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8782964 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 389924131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -352 - -355. Let f(l) be the second derivative of m*l + 0*l**2 + 0*l**3 + 0 + 1\/6*l**4. Let r(b) = 5*b. What is f(r(u))?\nAnswer: 50*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6a8 (base 12) to base 13\nAnswer: 5b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and 538.\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 64031939\nAnswer: 1\/64031939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 t when two letters picked without replacement from {i: 3, s: 1, t: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14116, 28245, 42374, 56503, 70632, 84761?\nAnswer: 98890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 9:14 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*m**3 - 2*m**3 - 6*m**3 - 231*m**2.\nAnswer: 2*m**3 - 231*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 5*u - 5, -4*u + 2 = -2*x - 6*u. Suppose 5*f - f - 16 = x. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1752211860 to the nearest integer?\nAnswer: 1206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/6, 11, 0.4, -5 in increasing order.\nAnswer: -5, 0.4, 5\/6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 72146778 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34983984.\nAnswer: 2, 3, 7, 104119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2 + y - 1. Let l be x(-2). Solve -1 = 2*k + r - 7, -5*k = -l*r for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 20*s + 1. Let v be o(7). Let i = v - 62. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 9:58 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9611\/6 + 1593. Let s = 8 + a. Let w = 8698 - 8695. What is the closest to s in 2\/3, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45ae (base 16) in base 5?\nAnswer: -1032323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -1\/3, -3, 7\/75, 4, 1 in decreasing order.\nAnswer: 4, 1, 1\/4, 7\/75, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + m. Let b be p(-4). Let t be (1 + 11)*4\/b. Sort 1, 3, t.\nAnswer: 1, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100582969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 179*t**4 + 163*t**4 - 129*t**4 + (-t + 3*t - 5*t)*(-t**3 - 2*t**2 + 2*t**2) in the form r*t**4 + m*t + k*t**3 + b*t**2 + d and give r.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1*-3)\/(120\/(-40)))\/(1\/(-16))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 2. Suppose -3*w - 2*l = -11, 4*w - 11 = 2*l - l. Let r(t) = -1 - w - t + 1. What is r(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 1 = 1. Find the first derivative of -19*p + 19*p - 8*p**2 - b wrt p.\nAnswer: -16*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(3\/2)\/((-3)\/(-5)). Suppose -2*a + 1 + 14 = -c*b, 28 = 5*a - 3*b. Let i(t) = -t**2 - t - 1. Let u(o) = 3*o**2 + 2*o + 3. Give a*i(l) + 2*u(l).\nAnswer: l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k\/(k*k**(-2\/11))*k*k)\/k)**4\/(k*k**1)**(1\/56))**16 assuming k is positive.\nAnswer: k**(10708\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -151950339\/4 or -37987584?\nAnswer: -151950339\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4723 + -4723. Which is the closest to -3\/5? (a) 61 (b) 4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 5:02 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-4)*240\/72\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/15 - 7\/(-3). Suppose -4*d - 14 = -2*f + f, -15 = o*d. Let x be (-64)\/12 - 2\/f. Round x to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 460070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -727008.\nAnswer: -1\/181752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -15, -2*d - 3 = -9*l + 10*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + -4 + 3 + 1. Let y be (-8 - q) + 2 + 8. Solve h - 1 + y = p, -5*h = 5*p for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 288 and -87?\nAnswer: -25056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, u: 6, f: 4}. Give prob of picking 2 u.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1130 + -1129.8. Sort x, 0.5, -16 in decreasing order.\nAnswer: 0.5, x, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41053921339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**16*g**(-3\/13)*(g**(1\/3))**(-3\/19) assuming g is positive.\nAnswer: g**(3882\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/(-18)*(-9)\/(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (31 + 12) - -19.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286825 is divided by 12470?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o + 2. Suppose 5*y + 3 = -5*v + 38, 2*y = 5*v - 7. Let t be g(v). Solve -t*n + 3*j + 22 = 0, -n + 4*j + 5 = -13 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2285022 take away 2041534?\nAnswer: -4326556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 5)*(340*h + 1658*h + 178*h - 738*h) as n*h + g and give n.\nAnswer: -2876","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 2 - (5 + (0 - -1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6062 - 110?\nAnswer: 5652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0*w)\/(w*w*w**(4\/11)) assuming w is positive.\nAnswer: w**(-15\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -62 and 127.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -l**2\/2 - 13*l - 40. What is d(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 0) + (0 - -2). Let o = -2 - -4. What is the second derivative of 5*c**o - 11*c**l + 4*c**3 + 2*c + 6*c**2 wrt c?\nAnswer: 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 7. Suppose 4*p = -4*t + 6*t - i, 5*p = -4*t + 60. Calculate the greatest common factor of 2 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1845 - -3925. What are the prime factors of d?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 10:02 AM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 + 49 + (1 - 1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2 = -2. Suppose 2 = 5*r - h*y - 5, 4*r - 2 = -2*y. Does 15 divide (-29 - 1)*(-1)\/r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 595*w**2 - 31*w + 81. What is the hundreds digit of s(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 440766*p - 13 = -k + 440762*p, 9*k - 33 = 6*p for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -14, -3, -3\/11, 32, -1\/4, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3329982367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-9)*108\/72?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*b - 56 - 31 = 66. Solve -b*y = -2*v + 13 - 1, 0 = -4*v for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 9*y - 12)*(y**2 - y**2 + 2*y**3) - 2*y**2 + 2*y**2 - y**4 + (5*y**4 - 5*y + 5*y)*(2 + 0 - 4).\nAnswer: 7*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*h + 3 - 1 = 2. Put h, 5, -132, 4, -1 in descending order.\nAnswer: 5, 4, h, -1, -132","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 156 + -433. Let q = 158 + h. Let n = q + 218. Is 13 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1800*w - 690*w + 48840 for w.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -9*f**2 + 132*f - 37. Calculate the least common multiple of 8 and y(9).\nAnswer: 1688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/11647560 and -49\/803280?\nAnswer: 23295120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12608 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8987*y**6 + 13*y**2 - 4*y + 17.\nAnswer: 1078440*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + 6*1\/(-2). Suppose -62 = -4*u - 2*t, a = -2*u + 3*t - t + 22. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b - 1. Let d be (4\/(-4) - 1) + 74. Let x be d\/(-90) + 2\/(-10). Let h(y) = -y**2 + 3*y + 3. Calculate x*h(o) - 3*v(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 854 divide 491904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6966633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(84\/20 + -4). Suppose w*m = -20, -2*m = -2*d + 2*m + 24. Suppose -2*s - d*u + 48 = 0, 5*s + u + 23 = 7*s. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 2:11 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2*g - 30 = 0, g + 10 = 3*w + 2*g. Suppose 4*l + 9 = a + 3*l, 0 = -w*a + l + 33. Is 6 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 1:19 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3235592 - 3235592 - 23543*x.\nAnswer: -23543*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -4*g + 46, 0 = 4*g - 12*u + 7*u - 53. Let r(c) = 3*c + 83. What is the remainder when r(g) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -112*l - 1. Suppose -5*x + 7 = -18. Suppose 3 = -4*n - x. Is a(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 163080 to the nearest one thousand.\nAnswer: 163000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-73*a**3 - 56*a**3 + 58*a**3)*(2 - 5 + 1 - a) to b + y*a**4 + u*a + g*a**3 + v*a**2 and give g.\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+4590\nAnswer: 4590.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 10*w - 14. Let o be v(-8). Suppose 0 = -o*i + 2. Which is smaller: 1\/16 or i?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.13, -2.332, -0.4?\nAnswer: -2.332","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: 1.6861 times -0.11\nAnswer: -0.185471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1867, -3737, -13067, -26117, -42881, -63353?\n\"Answer: y**3 - 1869*y**2 - 4*y + 3739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - ((-4 - (5 - (18 + -8))) + 7 + 37)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 60508073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30882605.\nAnswer: 5, 13, 37, 12841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 327109855 to the nearest integer?\nAnswer: 689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 3*n + 3. Let f be y(2). Suppose p = 3*p - i + 599, -f = i. Round p to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 56 = -4*g, -g + 3*n + 21 - 2 = 0. Calculate the remainder when 36 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 251128401 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (432\/(-45))\/((-6)\/20). Suppose -4*v + 4*s + w = 0, 5*v - v - 39 = -3*s. Calculate the remainder when v is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 42*17\/(510\/(-20)) and 109\/78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**4 + 75*q**3 + 195*q**2 + 185*q + 60.\nAnswer: 5*(q + 1)**3*(q + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2599466612 - -2752.\nAnswer: -2599463860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/4 (b) 1255 (c) -1\/2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 32. Suppose -3*p - j + 306 = 0. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-4*(sqrt(65)\/sqrt(5)*1 - sqrt(13)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 31399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4 = m. Suppose -5*y = -5*p, 3*p = m*y + 3*y - 4. Suppose -y*n = -n - 42. Is 21 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.9 at most 36\/71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -662*a**2 + a - 290*a**2 + 0*a + 1.\nAnswer: -952*a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l = 6*l + 40. Suppose 0 = -2*b + l*b + 24. Sort b, -1, -0.2 in decreasing order.\nAnswer: -0.2, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-245)\/25 - -9) + 30\/45)*(-13 + 11)?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 - -34. What is the remainder when x is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2. Let d = 6 - 1. Let v(h) = -3*h + 2*h + d*h. Calculate v(k(c)).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -8.5\nAnswer: -3.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -211265 + -2?\nAnswer: -211267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b. Let c(i) = i**2 - 26*i. Give p(c(n)).\nAnswer: -3*n**2 + 78*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**5 - 6*v**4 - 2*v**3 + 22*v**2 - 24*v + 8.\nAnswer: 2*(v - 2)*(v - 1)**3*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.062989 - 8747059\nAnswer: -8747059.062989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1\/((-10)\/(-24760)*4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -345*(-10)\/(300\/18). Calculate the highest common factor of q and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 152 and 1576677.\nAnswer: 12613416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 214?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182 = 21*u - 23*u. Let p be (-14)\/u - 111\/(-39). Suppose -p*g - 168 = -9*g. Is g a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 270631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**2 - 3*h - 3. Let p(x) = x**2 - x - 1. Let u(w) = -o(w) + 3*p(w). Let y(z) = -3*z**2. What is u(y(v))?\nAnswer: 9*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 350 - 238. Suppose 4*o + p = -0*o. Calculate the common denominator of -101\/2 and 8\/(-28) + (-449)\/o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 - -62. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 184 = 104. What is the remainder when s is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -296*r - 1 = -295*r, -2*l - 4*r = 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14159\/8? (a) 2 (b) -6 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*p + 255 - 810 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49 - 2*h - 49.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 508*v - 1539. What is f(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 16 = -0*q. Suppose 0 = q*w - w - 2. Let o(u) = u**3 - 3*u**2 - 2*u - 5. Let a be o(4). Sort w, -3, a.\nAnswer: -3, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q - 1. Let m = -14 + 11. What is h(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -247014 * -4.\nAnswer: 988056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -11*h**3\/3 + 29*h**2 + 32*h. Let g be d(7). Does 20 divide (1 + 16\/(-6))\/(4\/g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 332 by 332.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 200*f. Let v(l) = -40*l**2 - 14. Let m(p) = -21*p**2 - 8. Let c(h) = -7*m(h) + 4*v(h). Determine z(c(b)).\nAnswer: -2600*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**2 + 4*i + 1. Suppose -14 = 2*p - 5*l, -43*p - 14 = -38*p - 2*l. Calculate c(p).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*q - 8, q - 2*b = -7*b + 23. Let f = -215 - -60. Let w be (-9)\/3 - f\/30. Which is bigger: q or w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 6*d**2 - 12*d - 35. Let x be r(-5). Solve x = -3*v + 7*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 78 - 75. Factor -2*x**y + 8*x**4 + 0 - 14\/3*x**5 - 4\/3*x**2 + 0*x.\nAnswer: -2*x**2*(x - 1)**2*(7*x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(156) + sqrt(156)*1))\/(sqrt(384)\/sqrt(2)).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 40.121886 from 1045.\nAnswer: 1004.878114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 8489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 23 - (-3)\/(12\/4). Suppose -52 - l = -4*x. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34143 (base 13) to base 3.\nAnswer: 11210220020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*w + 295 + 56. Is 5 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.7, 74\/1643, -2\/5?\nAnswer: 74\/1643","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242 is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 1 = -3. Suppose 0*m + 8*m = 3*m. Solve 4*h = 2*w - 0*h + 18, o*w + 4*h = m for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14719 divided by 4.\nAnswer: -14719\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000064304 rounded to seven decimal places?\nAnswer: 0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 5*y**3 - 12*y**2 + 12*y - 11. Calculate b(4).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8440392 and 1044?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 375825094?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7176 - 7172. Is z less than or equal to 1665?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13502.\nAnswer: 2, 43, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14560706730 + 0.0549.\nAnswer: -14560706729.9451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -929 - 1522.0938\nAnswer: -2451.0938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 72 + -69. Suppose 3*m + 0*m - 9 = 5*v, 2*v - 3*m = 0. Let b(u) = -u**3 - 2*u**2 + 5*u + 2. Let k be b(-3). Put k, f, v in decreasing order.\nAnswer: f, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = i + r, 12*i = 8*i - 5*r - 20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/2*1785\/68. Calculate the common denominator of 509\/(-330) + 21\/w and 71\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 1\/3 (b) 5\/27 (c) -3\/7 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2664 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -230442.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 8. Let k(h) = -h - 1. Let d be k(10). Let o = d - -7. Put o, -3, i in descending order.\nAnswer: i, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 452 divide 18367472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -12*t**4 + 44*t**3 - 8*t**2 - 8*t - 8. Let n(p) = 8*p**4 - 29*p**3 + 6*p**2 + 5*p + 5. Let z(l) = -5*m(l) - 8*n(l). Factor z(h).\nAnswer: -4*h**2*(h - 2)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -358, -715, -1072, -1429, -1786?\n\"Answer: -357*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 256*l**2 - 416*l + 416. Let p(k) = -k + 1. Let a(u) = -2*f(u) + 832*p(u). Let w(v) = -2*v. Give w(a(r)).\nAnswer: 1024*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 29588433 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrg when three letters picked without replacement from {r: 2, g: 4, q: 2, c: 4, n: 6, h: 2}?\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 29538*k - 118122. Determine s(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2 + 0 = 0. Suppose 5*f - 21 = g*f. Calculate the common denominator of 50\/7 and ((-1)\/f)\/((-6)\/222).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 490100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zqwwzwzwqywwyqz. What is prob of picking 1 y and 1 z?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242398?\nAnswer: 2, 13, 9323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of p**5\/40 + p**4\/8 - 5*p**3\/6 - 5*p. Let i(k) be the second derivative of j(k). Give i(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 9) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -5*c - 22. Let p be z(-9). Let t = p + -20. Let v(o) = 2 + 3*o + 2*o**2 - t*o + o**2 - 3*o. Give v(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -146414149\/164329660 + 37369\/13717. Let g = o + 10\/599. Find the common denominator of g and 47\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3936 - -3935.9999996034. Round g to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from sjtll.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2244 and 120.\nAnswer: 22440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -328? (a) 0 (b) 0.3 (c) 2 (d) -3 (e) 18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k - 2. Let z(a) = 15*a + 33. Let s(w) = w**2 + 27*w + 77. Let c be s(-22). Determine c*f(h) - 2*z(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1529 and 0.2.\nAnswer: 305.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r + 24*r = 0. Suppose 0 = -16*y - r*y. Solve -4*l - 28 + 32 = y for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 2241.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (3 - 1) - 10 - (31531 - 31544)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 578 divide 378028829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 79384298599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 24\/(-38)*(198\/44 + -5). Factor b - 8\/19*w + 2\/19*w**2.\nAnswer: 2*(w - 3)*(w - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) -6 (c) -7 (d) 1\/249\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 34*a**2 - 121*a + 8. What is the remainder when 322 is divided by m(-30)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7269?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*q - 26*q - 29*q = -9*a - 36, -4*q + 7*a = -47 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.72 - -0.18. Let l = 4.9 - t. Suppose -f = -4*n + 20, -2*f + 2*n = 4*n. Put -5, l, f in descending order.\nAnswer: l, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 196 and 20.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 22*k**2 + 24*k + 35. Let m be d(-23). Suppose -8*i + m*i = 8. Put -2\/13, -3, i, -3\/4 in ascending order.\nAnswer: -3, -3\/4, -2\/13, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 425198?\nAnswer: 2, 29, 7331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 251582421.113 - 251448888. Let x = o + -133592. Let t = 59 + x. Round t to two dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o. Let p(w) be the first derivative of -7*w**3 + 12. Give p(y(z)).\nAnswer: -21*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/21 of a week in hours?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 660884 a multiple of 263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1299\/256807?\nAnswer: -1299\/256807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 10, -1, -3, -531, -42.\nAnswer: -531, -42, -4, -3, -1, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.142 + 0.142144. Round y to 5 dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4153 + 4157.169. Let o = -0.031 - y. What is o rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of x**5\/40 + x**4\/3 + x**3\/6 + 11*x**2 - 13*x + 1. Let g(i) be the second derivative of s(i). Give g(-9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 3. Let y = 518 - 513. Suppose 5 = -y*i - g, g - 7 + 10 = -3*i. What is the nearest to i in d, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11.6, -1\/8, -1?\nAnswer: 11.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*z - 3 + 2 + 0)*(-6 + 6 - 5*z) to the form h + r*z + y*z**2 and give y.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1744 + 193 + 4*y + 5*y - 666.\nAnswer: 9*y - 2217","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 12 - 9 - (-2)\/((8\/(-16))\/1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 168*i**3 - 14*i**2 - 8. Let z(j) = -2*j**3 - j**2 - 2. Let r(t) = h(t) - 4*z(t). What is the third derivative of r(c) wrt c?\nAnswer: 1056","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -92*x**4 - 17*x**3 - 54*x**2 + 1883703*x wrt x?\nAnswer: -1104*x**2 - 102*x - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 39?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 88*o**2 - 8291*o + 1884. Determine b(94).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(128))**2 - sqrt(2)) + -3.\nAnswer: -sqrt(2) + 509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 499*b + 9301. Determine z(-19).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13878467\/558 - 49743\/2. Let c = -6\/31 + f. Let t be (-3)\/(-5)*(-12)\/18. What is the third biggest value in -0.1, c, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.61, -0.4, -0.29, -4\/3 in descending order.\nAnswer: 0.61, -0.29, -0.4, -4\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -721 or -2889\/4?\nAnswer: -2889\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-325)\/52 - -4)*-12)\/1 + -5.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16473*m**2 + 85737*m wrt m?\nAnswer: 32946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/32 and -5 - (2\/(-464))\/(1\/1310)?\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*u - 43 = 16 + 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**4 + 63*u**2 + 0*u - 1 + 55*u**2 - 1 - 68*u**2 + u to g*u**4 + z*u**3 + l*u + s + a*u**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*x**2 - 11*x**2 + 28*x**2 - 2*x**2.\nAnswer: 31*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 0*a**2 - a**2 - 11*a + 3*a - 7. Suppose -4*d = -9*d - 35. Let y be i(d). Put y, -3, -4 in decreasing order.\nAnswer: y, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 40*z**2 - 7*z + 188. Determine w(40).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3725 or 0.2?\nAnswer: -3725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*k + 594 - 638. Let b(m) be the second derivative of 0 - 7\/12*m**k + 1\/20*m**5 + 4*m**2 + 1\/2*m**3 - 6*m. Calculate b(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/5, -3, 2\/3, 5\/4, -3.18?\nAnswer: -3.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 6:31 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -3.2. Let m be (1620\/(-2079))\/(-4) + ((-3)\/(-1))\/33. Let j = -2.4 - -2. Which is the closest to -2\/11? (a) j (b) i (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5918 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -19933214 divided by -19933214\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 43 + 24 = -5*n, x = n + 8. Let l(j) be the first derivative of -11*j**4\/4 + j**3\/3 - 3*j**2\/2 + j - 12. Let z be l(1). Which is bigger: n or z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b = 266 - 931 - 181. Solve 61*h = b*h - 42 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/4*(-992)\/279*3.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/((-26)\/(-6)) - 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177 + 5*b**2 - 15*b + 3*b + 12*b.\nAnswer: 5*b**2 - 177","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 5*s - 12, 4*g + 2*s = 3*g + 4. Solve 4 + 12 = g*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-21 - -25) + -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*g**5\/3 - 3599020*g**4\/3 - 4798680*g**3 - 21594040*g**2\/3 - 14396020*g\/3 - 1199668 = 0. Calculate g.\nAnswer: -899751, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, 3\/16, -2, 0?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 164321440 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 99928379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 9:01 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*n**3 - 954*n + 124*n**3 + 954*n.\nAnswer: 170*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -2131*d**3\/3 - 2*d**2 - 20*d - 70. Let p be a(-4). What is p rounded to the nearest 1000?\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 - 18 - 39 - -123?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 8 + 1 + 4*j**2 to the form k + b*j + n*j**2 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 + 46. Let q(f) = -v*f + 14*f + 1 - 4. Let r(c) = 24*c + 8. Let x(a) = 14*q(a) + 5*r(a). Calculate x(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/9 + (-3220)\/(-4230). Let r = 48148\/376423 - 2\/8009. Let q = f + r. Which is the nearest to q? (a) 4 (b) 0.2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*v - 70 = 5*k, 153 = k - 3*v + 131 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 - -22. Let l(i) be the first derivative of 1 - 11\/2*i**n + 11*i + 0*i**3 - 3\/2*i**4. Let f(j) = -2*j**3 - 4*j + 4. Calculate 11*f(c) - 4*l(c).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ag when two letters picked without replacement from {a: 3, k: 1, n: 3, c: 6, g: 1, f: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 16 (b) 0.5 (c) -75 (d) -1\/5 (e) 2 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**4 + 6*p**3 - 4*p**2 + 2. Let i(m) = 4*m**4 + 19*m**3 - 12*m**2 + 7. Let d(t) = 2*i(t) - 7*x(t). Factor d(k).\nAnswer: k**2*(k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3324816 divided by 4\nAnswer: -831204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60, 69, 80, 93?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7772.17237 rounded to the nearest integer?\nAnswer: 7772","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1165 a factor of 11321034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -36.81 and 415628450.\nAnswer: 415628413.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 45\/4 of a century?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vxiivaiii. What is prob of sequence iiax?\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3.82798132 - -11\nAnswer: 7.17201868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54528, 107785, 161042?\nAnswer: 214299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11153 - 25183 = 426*g + 331*g for g.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = 4*s - 1866. What are the prime factors of s?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -3\/8 (b) -2 (c) 3 (d) 0.4 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 307*w + 23912. Is u(0) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 102 - 98. Let w be 14\/49 + (-47)\/(-7). Suppose w*p + 22 + 6 = 0. Which is the second biggest value? (a) -3 (b) p (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 4)*(4 + 2*l - 4)*(148*l**3 - 87*l**3 - 150*l**3).\nAnswer: -178*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 296149*o - 7. Let q be n(5). Let x be 2\/(-3) + q\/6. Suppose 323211 + x = i. What is i rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*52\/(-336) + 795\/530?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 6 + 6 = -2*l, 15 = -l - 5*z. Let d = l - -6. Let p be (-2)\/d + (-7 - -4). Let i(c) = -c**2 - 2*c + 6. Calculate i(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2829\/19 - 149. Which is the nearest to v? (a) 3 (b) 0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28+-247795628667\nAnswer: -247795628695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -31.7\nAnswer: 31.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/301 (b) 2 (c) -5 (d) 2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*j**2 + 9*j**3 + j**2 - 7*j**3 to the form d*j**2 + p + o*j + f*j**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2141.3 - -2141.8. Let p = 1.9 + -2. Let g = -1.1 - p. What is the nearest to -3 in x, g, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2. Suppose 0 = 15*k - 55 - 20. Let d(f) = k*f + 5*f - 9 - 2*f - 10*f - 5. What is d(j(c))?\nAnswer: -4*c**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 9, u: 1, q: 1}. What is prob of picking 1 u and 3 k?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 957956899?\nAnswer: 37, 233, 111119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.1387 and -0.1?\nAnswer: 0.61387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 32870, 65637, 98400, 131159, 163914, 196665?\n\"Answer: -2*x**2 + 32773*x + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/666479?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -4\/7, 2, -2.344?\nAnswer: -2.344","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 571 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((616\/(-28))\/(-264)*6)\/((-2)\/(-28)*13).\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - u = -3*m + 11, u = -3. Suppose -9*x = -m*x - 30. Suppose -x + 10 = -4*k. Which is bigger: k or -15\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 620?\nAnswer: -613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -466*c*d**2*z**2 - c*d + 3*c*z + c - 8*d**2*z - z**2 + 2555 wrt d.\nAnswer: -932*c*d*z**2 - c - 16*d*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18449 less than 18564?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 2:15 PM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/(294\/(-21)))\/(2\/24).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8*-1)\/(2\/3). Let j be (-202)\/(-6) + (-16)\/c. Suppose 4*b + j = 2*f + 5*b, -1 = -b. What are the prime factors of f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6326 + -6311. Which is the fourth smallest value? (a) g (b) 2\/5 (c) 13 (d) -1\/2 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1165567601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/11)\/t**6)**7\/((t**(-1\/5)*t)\/(t*((t\/(t\/t**(-1\/2)))\/t)\/t*t)*t*t*t*t*t\/t**(2\/27)*t\/t**(-2)*t) assuming t is positive.\nAnswer: t**(-151331\/2970)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, i: 2, s: 2, f: 8}. Give prob of sequence izf.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3*((-8)\/6)\/(-4)*3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*b = -5*s - 75, 5*s = b - 11. Is ((-2)\/3 - -1)\/(b\/63792) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*-17\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*15*10096\/(-1968) + 4\/82?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14070 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**4)**(-32) assuming l is positive.\nAnswer: l**96","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 3*a + 20, 6 = 2*m - 5*a - 14. Solve 0 + m = 2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 9*r**3 - 10*r**2 + 102*r + 40. Let m be c(10). What is the highest common factor of m and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/279 and -40\/222220927?\nAnswer: 1999988343","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y - 1 - 4*y + 1.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00081365306 to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2. Let d(g) = -3*g**2. Let s(b) = 3 - b + 7*b**2 - 4*b**2 - 7*b. Let c be s(3). Let j(h) = c*d(h) - 17*v(h). Let x(o) = 17*o**2. What is j(x(l))?\nAnswer: -289*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k - 8*k - 4 = 2*n, 4*n - k = -8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -102 - -179?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -171\/2 + 111\/4*b + 1\/4*b**2 = 0.\nAnswer: -114, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 0. Find the second derivative of -2*c**5 + 0*c**h - c - c**5 + 0*c wrt c.\nAnswer: -60*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 155 - 1082 + 88*r - 89*r - 196*r**3 wrt r.\nAnswer: -588*r**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*f + 16. Let n be (f\/(-8))\/((-38)\/(-152)). Let m(c) = -2*c - 2. Let p(o) = -o - 1. Determine n*m(i) - 7*p(i).\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 8\/191?\nAnswer: 8\/191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6960042 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -314, -6757, 4, -4, 5 in increasing order.\nAnswer: -6757, -314, -4, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t - 3*t + 3*t**3 + (3*t - 3*t + t**2)*(4*t + t + 9*t) + t**3 + t - t.\nAnswer: 18*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5269405 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) - -3*sqrt(133)*5 - sqrt(133) - sqrt(133)) + sqrt(133))\/(sqrt(21)\/sqrt(27)).\nAnswer: 45*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*l + 52*l = 0. Solve 2*c = -s + 8, c = -4*s - l*c + 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - n + 4 = 0, 2*v = 16*n - 13*n + 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-4))\/(9\/24). Let h = d - 4. Let k = h + 1. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7780000 rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 4 + 0 + -5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 52 = -t, -t + 5*a - 36 = -88. Calculate the remainder when t is divided by 52.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ummfmmmfsffsfsifmim. What is prob of sequence ums?\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 23 = 3*v + 10, 4 = -4*v. Let w(s) = -s**3 - 6*s**2 - s + 3. Let c be w(-2). Let z = c - q. Sort z, -2, 1 in descending order.\nAnswer: 1, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -64. Let g = r - -62. Let l(w) = w**2 + 2*w + 86. What are the prime factors of l(g)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in -1\/5, 4, -1, 0.03, -3337?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 3*n = -12, 2 = -s - 2*n - 6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 66983?\nAnswer: 66983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15336 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1236940008 = -2*n - u, 22*n + 3*u - 2473880024 = 18*n. Round n to the nearest 1000000.\nAnswer: 618000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-10) - (-153)\/5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -33, -39, -47, -57, -69?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2619826.893511 + 2619835. Let o = y - 3.106506. Let r = 5 - o. Round r to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + 23. Let s be (4\/i)\/((-4)\/(-12)). Let o = -6 - -3. What is the second biggest value in o, -2\/7, s?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8680899758 - 8680899758 - 9*c**3.\nAnswer: -9*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39617\/14 + -2831. What is the common denominator of 139\/(-4) + 14\/(-12)*18\/(-84) and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 5*w = 57, -x + 5*w = -2 + 19. Let b(q) = q - 6. Let n be b(x). Suppose 3*t = -2*f + t + 2, t = -n*f + 6. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 269354 - -2?\nAnswer: 269356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1859 and 1991?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/4))**17\/(o**2\/o)**(-9\/8))\/((o*o\/(o\/o**(-10)))\/o*o*o*o**(-1\/9)*o)**(1\/5) assuming o is positive.\nAnswer: o**(2447\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2938\/3 - 979. What is the nearest to 0 in -4, 1\/2, 0, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3, 28, 79, 168, 307, 508?\n\"Answer: 2*l**3 + l**2 + 8*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/204 and 143\/102.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**2 + 3*w - 6*w**3 + 4*w**3 + 0*w**4 - 3*w**4 + 0*w**3 in the form d*w**3 + a*w**2 + h*w**4 + c*w + g and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1912\/(-60) + (-6)\/45. Let t = 23 + a. Let c = 34 + t. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 14*r + 15*r + 2 + (4*r - 2*r + 2*r)*(25 - 12 + 9).\nAnswer: 89*r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20731120\/7 at least 2961589?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*y + 17 = -2*y, -6 = 3*y. Suppose -t*o + 22 = j - 126, -j = 5*o - 244. Let d = -135 - -152. What is the remainder when o is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*b + 27*b + 165*b.\nAnswer: 228*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010 + 10001100110?\nAnswer: 10010000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (432\/252)\/((-2)\/7)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 55*l + 34*l + 27*l)*(-4 + 6 - 14)*(-3 + 0 + 5) as o + n*l and give o.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 844*t + 860. What are the prime factors of f(6)?\nAnswer: 2, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2)\/q)\/q)**(-19)\/((q\/q**(-5)*q*q)\/(q**(-2)*q)) assuming q is positive.\nAnswer: q**67","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = w + 16, -4*w - 3 - 6 = 3*i. Let u be 22 - (-1)\/(2\/w). Solve -5*p - 3*r = u, -4*r - 2 = -3*p + 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2479, 3986, 5493, 7000?\nAnswer: 8507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/25 of a microgram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4*s - 33. Let j = -14 - s. Which is the closest to -1? (a) -2 (b) j (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -15973*d - 2332068. Calculate z(-146).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 75582 to the power of 1\/2, to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/144329 and -32\/54439.\nAnswer: 77793331","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -3*o - 93. Let p be 1 + -2 - -2 - o. Let n be (-5)\/(5\/(-2))*2. Solve 6*s + p = s + n*u, 3*s = -4*u for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 14712.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, r: 1, k: 1, t: 12}. Give prob of picking 1 n and 1 k.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86830628, -86830630, -86830632, -86830634, -86830636?\nAnswer: -86830638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7141? (a) -2 (b) -3 (c) -0.4 (d) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8599 + 8766. Calculate the remainder when 218 is divided by n.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 30*q + 25*q = 4, 42*j - 3*q = 403*j + 722 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 4*q + 14, -4*q - 76 = -2*f - 66 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 100011100101111?\nAnswer: 100011100101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -2044240?\nAnswer: 2044232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2806 rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of 19*c - 3*c**2 + 0*c**4 + 7\/8*c**6 + 0 + 26\/3*c**3 + 0*c**5. Differentiate i(d) wrt d.\nAnswer: 315*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.405 + -0.595. Which is smaller: d or -1.71?\nAnswer: -1.71","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 248, 1929, 6488, 15365, 30000, 51833?\nAnswer: 82304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/43129116 and 85\/147366.\nAnswer: 129387348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1173 (b) 1\/5 (c) -2\/7 (d) -131\/61 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111111000110 (base 2) to base 11.\nAnswer: -3041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266*z = -46*z - 4368 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -d**6\/10 + 3*d**5\/5 - d**4\/2 - 2*d**3 + 9*d**2\/2 + 2*d - 11. What is l in w(l) = 0?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/7 (b) 1\/33 (c) -0.1 (d) 0 (e) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4691.32 and 563.\nAnswer: 2641213.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(5\/7))**28\/(i**5\/i*i\/(i**(1\/2)*i)) assuming i is positive.\nAnswer: i**(33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 5*i**2 - 4. Let k(p) = 326278*p. Calculate k(t(n)).\nAnswer: 1631390*n**2 - 1305112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2624 is divided by 105.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 c when two letters picked without replacement from {x: 4, d: 3, i: 4, c: 1, l: 2}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4787626379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 225.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (17*z + 8*z - 14*z)*(-2 - 2 + 0) + (0*z - 3*z - z)*(2 + 3 + 0) in the form i + m*z and give m.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -301 (base 13) in base 11?\nAnswer: -422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 0, 107, 384, 915, 1784?\n\"Answer: 14*b**3 + b**2 + 6*b - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - -4)\/(-3 + 2). Let z(h) = 4*h + 4. Let g be z(l). Let k = g + 8. Let o(x) = -x**2 + 4. What is o(k)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 309 - 87 = -28*v. Suppose 0 = 5*r - n - 63, -4*r = -4*n - 2 - 58. Calculate the highest common divisor of r and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17262 (base 10) to base 6.\nAnswer: -211530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g - 12, 31*y - 19 = 28*y - g for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/33*(-2046)\/(-1364)?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*o - 6. Which is smaller: o or 1\/56?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002497592973 rounded to 7 dps?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/(-24)*(2 - 8). Solve 3*z - 3 = 3*j + 9, -z + 10 = -d*j for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36238247?\nAnswer: 2281, 15887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -7*u**2 + 19*u + 3. Let g(l) = -13*l**2 + 39*l + 5. Determine -3*g(c) + 5*h(c).\nAnswer: 4*c**2 - 22*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1302.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-1780)\/4895)\/(6\/(-330))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -224 divided by 224.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 10:57 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*f = 61*f - 2140. Suppose -4*q = -0*o - 4*o + f, -5*o = q - 517. What is the remainder when o is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -147655\/9162 + 5\/1018. Let r = z - -49\/3. Let i = -11 - -16. Which is the closest to -1\/3? (a) i (b) r (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 8 - 10. Let x be (k + -6)*(-2)\/2. Suppose -85 + x = -5*j. What is the remainder when 46 is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 + 0*r**2 + 0*r**2)*(r - r - 2*r) + 3*r**3 + r**3 - 5*r**3 + (0*r - 3*r + 4*r)*(-5*r**2 - r**2 + 4*r**2) - 9*r**3 - 4*r**3 + 3*r**3.\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + d - 1)*(32 - 85 + 14) + d - 2*d + 0*d - d - 3 + 3 + (-1 - 1 + 3)*(-3*d + d + d).\nAnswer: -42*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21844438 rounded to 5 decimal places?\nAnswer: 0.21844","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -n**6 - 4925*n**4 + 19*n**2 - 5 wrt n?\nAnswer: -120*n**3 - 118200*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/9*32\/(1280\/(-24)). Which is the closest to -1\/4? (a) j (b) -6 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -85, -5, -4, 0.5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 49*u**3 - 3*u + 2. What is the units digit of r(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2397281 to the power of 1\/2, to the nearest integer?\nAnswer: 1548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -0.1, 4059?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 9*q = -40. Let m be q\/22 + 20\/11. Put 7, m, -3 in decreasing order.\nAnswer: 7, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1168 + -1151 - (0 + 1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**2 + 20*r + 45. Let j be u(-4). What is the hundreds digit of (-25)\/(j\/2 + (-341)\/(-242))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 - 63. Let j = 43 + l. Let p(c) = c**2 - 3*c + 3. Let y(t) = t**2 - 3*t + 3. Let d(q) = 2*p(q) - 3*y(q). Give d(j).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310 is divided by 38?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 103253*z**2 + 170778 wrt z?\nAnswer: 206506*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 220 - 204. Suppose 43 = 2*i + 3*w - 33, -4*w + l = 0. What is the greatest common divisor of 80 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -218*i**2 + 2*i + 56. Let a(u) = -122*u**2 + u + 28. Determine 7*a(z) - 4*g(z).\nAnswer: 18*z**2 - z - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 20 = -4*m. Solve 2*o - 1 = -2*a + 3, 19 = 2*a + m*o for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8 (b) -574 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/105 + (-4)\/(-20)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*p - 6, 5*p = -4*n + 1217. List the prime factors of n.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 10*m. Let k be s(1). Let h(n) be the third derivative of -n**4\/24 + 7*n**3\/2 + 5*n**2. What is the units digit of h(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 31?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**3 - h**3 + 0*h**3)*(-25 - 7 + 61 - 6).\nAnswer: -46*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*m - 8, 0 = -n + 3*n - 4*m. Let l(h) be the first derivative of 0*h + 3 + 3\/2*h**n + 1\/3*h**3. What is the second derivative of l(y) wrt y?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 at most as big as 332?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2592?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 895 is divided by 69?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 - (-2 - 0)*(20 + -18). Suppose -1\/3*h**4 + s*h - 1\/3*h**5 + 1\/3*h**2 + 1\/3*h**3 + 0 = 0. Calculate h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*n - 7*n - 2*x = 35, -n + 34 = 5*x for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 627 divide 2106720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*s, -4*s + 16 = f - 40. Suppose -3*j + 424 = j. Calculate the remainder when j is divided by f.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 8) to base 6\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnmlmlnnlln. Give prob of picking 1 m and 1 n.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45366 is divided by 3957.\nAnswer: 1839","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*t + 4*t**5 - 10*t)*(-4 - 2 + 7 + 4).\nAnswer: 20*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 2, w: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - n + 5. Let s be p(0). Is (-12)\/(-15) + 9921\/s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 551*q - 9364. Calculate x(17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56739229 is divided by 176.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 5:44 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 9:38 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-11)\/4 + 3)\/(28\/560). Let u = 1\/4 - -1\/12. Which is the biggest value? (a) n (b) u (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19 + 42*w + 4 + 13)*(-2*w**2 - 11*w**2 + 0*w**2) to q*w**2 + c*w + m + z*w**3 and give z.\nAnswer: -546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from oommamoaoomo?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 12 = -0*j. Let a(q) = 2*q**3 + 2*q. List the prime factors of a(j).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51508907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j*j**(-10)*j\/(j*j*j**(1\/5))*(j**0)**(-12) assuming j is positive.\nAnswer: j**(-46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**5\/8 + 5227*q**4\/8 + 10461*q**3\/8 - 15679*q**2\/8 - 10457*q\/2 - 5229\/2 = 0. What is q?\nAnswer: -2, -1, 2, 5229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*b**2 - 40 + 40)*(3*b + 0*b + b)*(b**2 + 3*b**2 + b**2) + 0*b**5 + 0*b**5 + 2*b**5.\nAnswer: -218*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 4*x = 23, -4*j + 1013541 = -4*x + 1013553 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -286183 - 814*x + 73*x + 286170 to the form d*x + t and give d.\nAnswer: -741","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -12*o + 3*o**3 - 2 + 6*o**2 + 11*o - 4. Let i(p) = 8*p**3 + 17*p**2 - 3*p - 17. Give -6*i(m) + 17*s(m).\nAnswer: 3*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2138 + -2130. Solve -4*y - 3*j = -1, 5*y - 2*j + 8 + v = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4023?\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8400 and 88725?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-six fifths of a milligram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, l: 4, o: 6, s: 2}. Give prob of sequence xlol.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/15*270\/(-81)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2045 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40692 is divided by 4068?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g = -7*g - 780. Does 19 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 627*f**4\/2 - 4*f**3 - 11*f - 536. Find the third derivative of b(n) wrt n.\nAnswer: 7524","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oe when two letters picked without replacement from {d: 2, e: 1, o: 4}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 0*h**2 - 1 + h - 1\/3*h**3. Suppose -2*s = 4 - 2. Calculate l(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 1\/8 (b) -1 (c) -126\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 324 and 3492?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23 in 1, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of 2*j**3\/57 - 2*j\/19 + 4. What is u in r(u) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, h: 1, z: 1, p: 1, i: 1, c: 2}. Give prob of sequence cp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + n**2 - 8*n - 10. Let h be k(-2). Suppose 2 = 3*o - l + 6, h*o + 3*l - 12 = 0. Solve 3*c + 3*x = -12, 4 = 2*c - o*c - x for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**3 - t**2 - 2*t - 1. Let r = 75 - 73. Calculate g(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 790, 5, -780, -1565, -2350, -3135?\nAnswer: -3920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4 - 4328711*k**3 + 17314856*k**2 - 17314860*k.\nAnswer: -k*(k - 2)**2*(k + 4328715)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5096 divided by 56\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3 - 984*u**2 + 7776*u - 15488.\nAnswer: 2*(u - 484)*(u - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -305 divided by 61.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.96 + 0.04. What is the third biggest value in i, 0.1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 9:31 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273 is divided by 86.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**3 + s**3 - 8*s**3.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3570 + 28575*s**2 - 3*s**3 - 5*s**4 + 3237 - 28558*s**2 wrt s?\nAnswer: -20*s**3 - 9*s**2 + 34*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-7))\/((-20)\/(-14) - 2)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -5*q**2 + 2*q - 2. Give x(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 3, 2*n - 4*v + 38 = 136. Let d = 60 - n. Solve 2*g = d*g - 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54013797883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -4*n. Let r(z) = 5*z. Give -6*g(i) - 7*r(i).\nAnswer: -11*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**4 - w**3 + w**4 - 3*w**3)*(2*w + 2*w - 2*w).\nAnswer: -4*w**5 - 8*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34*f**4*i + f**2 - 103*i wrt f.\nAnswer: -816*f*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-104)\/(-131144))\/(30\/(-780))?\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -14506, -58005, -130474, -231907, -362298, -521641, -709930?\n\"Answer: k**3 - 14491*k**2 - 33*k + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.6 + 1.9. Let f = 3\/17 - 26\/51. Which is the second smallest value? (a) -2 (b) f (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 - 2*m**2 - 3*m**2)*(-10*m**2 - 2*m**2 + 15*m**2) + (m**4 - 1 + 1)*(-12 + 42 - 22).\nAnswer: -m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wiiiweia. What is prob of picking 1 a and 1 w?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, d: 4}. What is prob of sequence dpdp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*s - 7. Let d(m) = -2*m**2 + 43*m + 22. Let b be d(22). Let a(n) = 3 + 7*n + 0*n**2 - s + b*n - n**2. What is a(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 475083803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 4 - 0. Suppose -n + 0 = -2*c. Is (c\/(-2))\/(1\/(-158)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.1636 + -1.0734. Which is greater: x or -0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 l when two letters picked without replacement from {l: 1, z: 1, b: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 z when two letters picked without replacement from trrznzznzzrznr.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -2*g**2 - 2. Let n(j) be the second derivative of j**4\/3 - 117*j. Determine n(s(c)).\nAnswer: 64*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5968, 5950, 5908, 5830, 5704, 5518?\n\"Answer: -2*g**3 - 4*g + 5974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 5:22 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5\/2 (b) -3531 (c) 0.02 (d) 4 (e) -1\/5 (f) 665\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11.1393 * 0.04453\nAnswer: 0.496033029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a + 7. Let k be p(-4). Suppose 0 = -k*x - t + 4, 8*x - 35 = 3*x + 4*t. Suppose d = x*d - 8. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, c: 3, k: 7, x: 1}. Give prob of picking 1 c and 1 k.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + ((-160)\/(-24) - 9)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + ((-80)\/60)\/(104\/1482)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 68\/805 - 6\/35. What is the second biggest value in -0.4, 3\/4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 7*o - 8. Let v be q(8). Let x = -797\/35 + 113\/5. Are x and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 936 and 222.\nAnswer: 34632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 2:14 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*v + 2*v**2 - 14*v - 7*v to t*v + x + l*v**2 and give t.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**4 + 5*w**3 - 5*w**3)*(-w - 3*w + w).\nAnswer: 3*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-5 - -5) + -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 0*s - 94 = s - 85, -2*a - 10*s + 22 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -106*a - 248. Give m(-3).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 5*s. Suppose -7*c + 3*c = s. Solve 0 = -c*m + 3*m + 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((-4)\/14)\/(60\/(-105))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1565 is divided by 1524?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(1\/3)\/m*m)*m)\/m**(-10\/7))\/(m\/(((((m*m**(-1\/6))\/m)\/m)\/m)\/m))**(-3\/23) assuming m is positive.\nAnswer: m**(3515\/966)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 52639569 to the power of 1\/3, to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 1:05 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3)*(2*c + 2*c + 2*c)*(1 - 4 + 2).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-1\/2)*((q*q*q\/q**(-2\/9))\/q)\/q)**12 assuming q is positive.\nAnswer: q**(98\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*y = 0, -4*y = -2*y. Suppose 31*b + 24 = 117. Sort m, b, 2 in decreasing order.\nAnswer: b, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -30*m - 3. Let j be r(-4). Let q be (-1)\/((-3)\/j*-3). Let w = -15 - q. Which is the nearest to w? (a) 2\/11 (b) -0.1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5a930 + 3?\nAnswer: 5a933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 1)*(-2 + k + 2)*(-7 - 7 + 0 + (-6 + 1 + 4)*(6 - 4 - 1) - 1 + 0 + 4) as v + u*k and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 100 = -2*y, -3*y = -5*y - 10. Calculate the greatest common factor of 45 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(-7)\/56 + (-114)\/(-8). Suppose -3*g + 34 + b = 0. Let t(p) = -p**3 + 15*p**2 + 20*p + 7. Is t(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10.2 + 6.9. Let z = 0.3 + l. Let b = z - -3.000048. What is b rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9508538251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 28*q + 110. Let l be a(-14). Let z = 9 - l. Is z a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -298, -275, -236, -175, -86, 37, 200, 409?\n\"Answer: z**3 + 2*z**2 + 10*z - 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/10 and 85\/152.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 102.62 to the nearest integer.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 8. Calculate the least common multiple of 3 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17.9 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-1 + sqrt(832) + 1*sqrt(13) + 1)*5)**2 - (-4*(5 + 4 + -1 + sqrt(637)))**2.\nAnswer: -1792*sqrt(13) + 15109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61672 (base 13) to base 8.\nAnswer: -525116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21902 is divided by 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 11:54 AM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3248380, 6496758, 9745136?\nAnswer: 12993514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -93 <= -54290\/593?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 25587 divided by -8529\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -5*b - 4, 0 = -0*b + 2*b - 4*k + 12 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6220557 divided by -24\nAnswer: -2073519\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 11*s**2 - 6*s - 1. Let j be r(10). Suppose 5*f + 4 - j = 0. Let p(h) = h**2 - 6*h - 6. Calculate p(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4720*j**3. Let a = 8 + -13. Let z be q(a). Round z to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 - -49208622315\nAnswer: 49208622313.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-13)\/(-2))\/((-3)\/6). Let w(p) = 6*p - 3. Let c(u) = -3*u + 1. Let s(z) = f*c(z) - 6*w(z). What is the first derivative of s(v) wrt v?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, p: 5, o: 1, d: 7, z: 2}. What is prob of sequence drro?\nAnswer: 7\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2769 + -1478. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t**2. Let y(i) = 4*i**2. Let m(f) = 4*f**2 + 4*f + 2. Let l be m(-2). Let c = 26 - l. Let x be (3\/2)\/(6\/c). Calculate x*y(o) - 5*d(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -350 + 365 = 3*v. Solve -f - 27 = -v*r, -3*r - 5*f + 2 = -3 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00337 rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1952511, 1952501, 1952489, 1952475?\nAnswer: 1952459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v + 16 + 38 = 0. Is v less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 1)\/(4 - 2). What is the nearest to 0 in 0.5, h, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 5*o - 16 + 326 = 0, 3*o = 5*p - 326. Let u = p - 40. Suppose u = -0*m + 3*m. Does 8 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2181649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -x**5\/20 - x**4\/3 - 3*x**3 + 7*x**2\/2 + 2*x. Let s = 7258 - 7265. What is the hundreds digit of l(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 280*d**4 - 5107*d**3 + d**2 - 30905518 wrt d.\nAnswer: 1120*d**3 - 15321*d**2 + 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 117682?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0101478597 to three decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 10 (b) 0.203 (c) 6 (d) -0.4 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-12)*t**(-6\/7))\/(t**1)**(-27\/2) assuming t is positive.\nAnswer: t**(9\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 - 4)*(w - 4*w - 2*w)*(34*w + 5*w + 21*w) to u*w + v + d*w**2 and give d.\nAnswer: 600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of y**5\/4 - 25*y**4\/3 - 215*y**3\/6 - 55*y**2 - 3*y - 1. Factor c(f).\nAnswer: 5*(f - 22)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**2 + 8*f**3 + 2*f**2 - 2*f + 14*f**3 + (-f**2 - 2*f**2 + 4*f**2)*(1 - 1 - 2*f) + 4*f**2 - 2*f**3 - 4*f**2 - 2*f**3 + 4*f**3 - 4*f**3 + 4*f**3 + 9 - 9.\nAnswer: 20*f**3 + f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 106\/22 + (-2)\/(-11). What is the second derivative of 0*x + x**5 - 2*x + j*x wrt x?\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -141 + 3*g**2 + 381 - 121 - 136 - 4*g as x*g + v + o*g**2 and give v.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.02 + -6.02. Sort c, -7\/8, -4, 2\/3 in increasing order.\nAnswer: -4, c, -7\/8, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8870 - -9170. Solve 16*r + c = 204 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (33 - 32) + 2 + -9 - -9\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11429412 divided by -6?\nAnswer: 1904902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 1 = 13. Suppose -4*l + r + 4 = 0, 4*y = -l + 26. Differentiate 17 - 4*z - y - 8 + 6 wrt z.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/4 + 1\/2. Let q = -3 + k. Let b(x) = -x**2 - q + 0 - 4 - 5*x. What is b(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30690524.6 times 0.1?\nAnswer: 3069052.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - o. Let v be l(0). Suppose -3*r + 2*x + v = 2, 3*r - 18 = -3*x. Suppose -r*k + 3 = -3. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6661 * 52.8\nAnswer: -35.17008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 40 = 4*q, -2*g + 0*g - 3*q = -10. Is 5 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -93*x - 20. Calculate p(-5).\nAnswer: 445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/13 (b) -2\/11 (c) -30 (d) -119933\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-34)\/j**(-19)*(j*j**44)\/j**19)**21 assuming j is positive.\nAnswer: j**231","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 5*l + 2*u - 2, 4*u - 4 = -2*l. Solve l*h + 3*h = 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**2\/13 + 518*h\/13 + 23600\/13 = 0. Calculate h.\nAnswer: -200, -59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/11 in 21\/2, -5, 2, 10\/9, 5, 22?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 569774 divided by -9\nAnswer: -569774\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*z - 571 + 403. Solve 0 = -t + 6*t - 3*p - z, -3*p - 12 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 237 + -141. Let h = 100 - t. Suppose 8*s + 2 - 5*s**2 + 17*s**2 + 8*s**3 - 101*s**h + 103*s**4 = 0. Calculate s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -93369 divided by 6\nAnswer: -31123\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.01 - -4.039. Let y = -0.028162 + b. Round y to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-24)\/21)\/(120\/(-56)) and -17\/126.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1925.6 to the nearest 100.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x - 5*k - 3, 0 = 2*k - 5*k + 3 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 7*y**2 - 4*y + 6. Let f be z(-6). Let k = f + 9. Suppose -43 - 14 = -k*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42480 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 13*k**2 - 31*k - 32. Calculate n(8).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 + -20. Factor -301*y - 1539*y**3 + 24 - 648*y**3 + 1458*y**2 - c*y.\nAnswer: -3*(9*y - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -1. Let z(c) = -c - 4. Let n(f) = 6*t(f) - z(f). Let d be n(6). Factor -2\/3*a + 7\/3*a**2 + a**d + 0 - 8\/3*a**3.\nAnswer: a*(a - 1)**2*(3*a - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25016 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -13, -3, 2\/17, -3\/5, -137.44?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 21 - 1?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**4 + 606*t**3 - 21765*t**2 - 22368*t = 0. What is t?\nAnswer: -233, -1, 0, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*g + 5*g, -30 = 2*z - 4*g. Which is the nearest to 1? (a) z (b) 5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 185 (b) 1 (c) 3\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 7*z - 9. Suppose 30 = 5*u + f, 2*u - 4 = f + 8. Calculate o(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 393 and 1048?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 15*b - 24. Give p(3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 2:39 PM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 123 - 123.1. Let y be 66\/(-8) - (-2)\/8. Let m be 1\/(-2)*y\/5. Which is the second smallest value? (a) m (b) -0.4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7802 - 7762) + 161\/(-3).\nAnswer: -41\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 0*y - 2*v = -28, -y + 4*v = 14. Let h be (1 - y)\/((-3)\/(-9)). Let d = h + -17. Calculate the lowest common multiple of 18 and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2652425 to the power of 1\/2, to the nearest integer?\nAnswer: 1629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2314854 and 1543236?\nAnswer: 4629708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 218\/96 + 186\/2976?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8713 + -8717. Let b(p) = 16*p + 12. Let y(z) = -z - 1. Let s(n) = -b(n) - 20*y(n). Let j be (-45)\/6 + 2\/4. Let l(a) = -2*a - 4. Give d*s(r) + j*l(r).\nAnswer: -2*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/1622 and 79\/26852.\nAnswer: 21776972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mzn when three letters picked without replacement from zomne?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three sixteenths of a centimeter?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1017 is divided by 52.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24\/(-60)*25 - -15807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 1.8. Let n = x - 0.2. Let a = n - -1. Sort -3, a, -0.1.\nAnswer: -3, -0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49 - 47. Let v(i) = -3*i**2 - 2*i + 4. Let p(k) = k**2 + k - 2. Let g(q) = j*p(q) + v(q). Let y(s) = 12*s. Give g(y(o)).\nAnswer: -144*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -5490 - -5859. What is the least common multiple of 1107 and g?\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*v**4 - 638*v**3 + 187329*v**2.\nAnswer: 72*v - 3828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -417 (b) 0.157 (c) 0 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**3 + 9*i**3 + 4 - 5*i**3 to n + l*i**3 + z*i + m*i**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**2 - 6*z + 5. Calculate l(-6).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.5 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 19*a**2 + 35*a + 22. Let r be l(16). Let f = r + 217. Does 8 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/4*-4 - -2. Suppose -6*f - 2*z = -2*f - 58, 4*z + 49 = j*f. Solve f = -6*k + k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 94 (base 13) to base 16\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 7:04 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -5*b + 4*l + 6, -b - 5*l - 25 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 26*l**2 + 2*l + 5. Let w be s(-1). Let h(m) = 2*m**2 - 2*m + 3. Let z be h(-3). Is z >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*z - 4*l, z + l = 4*l + 12. Suppose -w + 80 - 38 = z. Let d = w - -69. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k - 261 - 4*k + 15*k.\nAnswer: 11*k - 261","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13059, 26117, 39175?\nAnswer: 52233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (15 - 2) + -7\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 11*t**2 - 50*t - 117. Determine z(15).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u + 46 + 23*u - 17*u)*(u - 2*u + 0*u).\nAnswer: -u**2 - 46*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 112691885 * 0.6.\nAnswer: 67615131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.59171 and 2594608.187.\nAnswer: 2594608.77871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6895.7 - 7671. Let s = 776 + i. Sort 5, -0.3, s in descending order.\nAnswer: 5, s, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111565 (base 7) to base 8.\nAnswer: 46603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*m - 67. Suppose 2*w - 2*g = 24, -m = -2*w - 2*g - 3*g. Solve -4*y + 0 = 4*p - w, -5*p + 15 = -y for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -736*z + 798*z - 227106 = 0. Calculate the remainder when z is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -168, -394, -732, -1194, -1792, -2538, -3444?\nAnswer: -4522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 10. Let s = 5 + y. Suppose 0*r + r - 2 = s. Solve 5*a = -i - 21, 4*i = -i + r*a + 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**3\/4 - 386*w**2 + 45647*w\/4 + 57477\/2 = 0. What is w?\nAnswer: -7\/3, 34, 483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -280 - -297. Solve -5 + r = -4*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -1180*s. Let l(r) = -161*r - 158. What is d(l(q))?\nAnswer: 189980*q + 186440","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -144993*a**4 + 59*a**2 - 6777795*a.\nAnswer: -1739916*a**2 + 118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 - -30. Suppose -2*i + 22 = k, -4*k = -3*i - y*k + 44. Calculate the smallest common multiple of 18 and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 10. Solve 2*j + 1 = -0*j + 3*l, -32 = 4*j + g*l for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1477, 2954, 4431, 5908?\nAnswer: 7385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of -y**8\/26880 + y**7\/10080 + y**6\/2880 - y**5\/480 - y**4\/6 - y**2. Let m(o) be the second derivative of w(o). Factor m(q).\nAnswer: -(q - 1)**2*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l**2 + l - 3. Let k(j) = -j**3 - 7*j**2 - 2*j + 7. Let h(d) = -3*k(d) - 7*z(d). Find the second derivative of h(g) wrt g.\nAnswer: 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x + 4 - 81 = 0. Calculate the remainder when 128 is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3178, 6375, 9572?\nAnswer: 12769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 92242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 16 + (-83 - -41) + 25 + -69.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 735 + -10235\/14. What is the common denominator of m and -3\/20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 t when three letters picked without replacement from wpbttswssspsbbs?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1300\/80 + -16)*272 is divided by 68.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 + 132574120*s**2 - 2196986896573536*s - 8787949707480192.\nAnswer: -2*(s - 33143532)**2*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -5*s**2 - 2*s + 5. Let i(p) = 6*p**2 + 2*p - 6. Let f(v) = 6*i(v) + 7*j(v). Give f(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, 0.12, -2 in ascending order.\nAnswer: -2, -3\/8, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4 = -1. Let b = k + 5. Suppose 3*r - b*t - 769 = 0, -5*t + 776 = 3*r - 0*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/45)\/(32\/20).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-161)\/(-21) + -4 - 1. Factor -8\/3*m**4 + 2\/3*m**5 - r*m**2 + 0 + 2\/3*m + 4*m**3.\nAnswer: 2*m*(m - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.8 + 12.8. Let l = -32 + v. Let n = l - -27. What is the smallest value in 1, 5, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y - 2. Let c be s(7). Suppose c*g = 3*g + 40. Let p = 33 - g. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55955595?\nAnswer: 3, 5, 73, 137, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.9 - -0.3. Let n = -0.2 + q. Let y = 713\/940 - 2\/235. What is the second biggest value in y, n, 0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 - -82. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from upihf. What is prob of picking 1 u and 1 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8215 is divided by 1633.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 12 = -4*l + 19, l - 2*p + 5 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**2 + 71118*w**3 - 71119*w**3 - 3*w + 3*w.\nAnswer: -w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/140 and -91\/1146150.\nAnswer: 16046100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1484, 2757, 4022, 5279, 6528?\n\"Answer: -4*c**2 + 1285*c + 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 304650 and 750.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69957?\nAnswer: 3, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhii. Give prob of sequence hiih.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 16 * 0.8\nAnswer: 12.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 412032342 (base 5) in base 12?\nAnswer: 688981","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2918767909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 - 2*r**3 + (-2*r + r - r)*(6*r - 7*r - r)*(-9 - 4 + 24 - 2*r) to n*r**2 + w + q*r + y*r**3 and give n.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, 0, 10 in decreasing order.\nAnswer: 47, 10, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, s: 8, v: 6}. Give prob of picking 1 v and 2 x.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is t in 3*t**5\/2 - 612*t**4 - 6849*t**3 - 26922*t**2 - 86625*t\/2 - 22626 = 0?\nAnswer: -4, -3, -1, 419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7058 = -281*d - 314 for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*n - 333551 = 37966 - 39637. List the prime factors of n.\nAnswer: 8297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 7) to base 15\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -18\/5 (b) 9.6 (c) -1\/2 (d) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*d - 699*d = 275*d + 21105 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of 0*z**5 + 1\/40*z**6 + 0*z**2 - 4*z + 0*z**3 + 0 + 0*z**4. What is k in g(k) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 698640 and 15336.\nAnswer: 6287760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4483516795 rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**2\/6 + 94829*r - 568977\/2 = 0.\nAnswer: -568977, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - d = 13, -4*n = -5*n + d - 5. Let x = n + -1. Is x > -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -434*l*x + 5*l + 1072*x wrt l?\nAnswer: -434*x + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/11 and 23\/1433328?\nAnswer: 15766608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 396\/45 - (0 + (-567)\/765)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2754 and -16.\nAnswer: -44064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 - 547 - 550 - 552 + 2759 - 552 - 551.\nAnswer: a**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p*p**(-23)*p*p*p*(p*p**23)\/p assuming p is positive.\nAnswer: p**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1219, 2433, 3641, 4843, 6039, 7229?\nAnswer: 8413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 8*o**2 + 7*o - 6. Let s(i) = 9*i**2 + 9*i - 10. Let x(a) = 6*h(a) - 4*s(a). Let j(k) = -23*k**2 - 13*k - 9. Calculate -6*j(m) - 13*x(m).\nAnswer: -18*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*r = 19*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = p - 15. Let n be (-169)\/(-26) - (-1)\/(-2). Suppose -n*x = -7*x. Put -4, x, p in decreasing order.\nAnswer: x, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3 = -20. Let i = -6 + 6. Suppose i = 4*g - 192 - 0. Calculate the remainder when g is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence st when two letters picked without replacement from sts.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2*z - 10, -3*b - 2*z + 15 = z. Let t(y) be the third derivative of 0*y**3 + 1\/24*y**4 + b*y + 0 - 12*y**2. Let c(p) = -40*p. Calculate c(t(h)).\nAnswer: -40*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1133 + 1148 = 5*s. Solve -8*j + 3*j + s*w + 29 = 0, 3*j = -2*w + 6 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*a**3 + a - 194*a**4 + 2 - 7*a**3 + 2*a**3 - 3*a**3 as m*a**3 + i*a + n*a**2 + u*a**4 + g and give u.\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1028*f - 1103*f + 225 = 0. Calculate the remainder when (-118)\/(-2) + -3 - 1 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -3*n - 7, 909*u = -3*n + 905*u + 13 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -87*-33420\nAnswer: 2907540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1381?\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -393941285, -787882574, -1181823863, -1575765152, -1969706441?\n\"Answer: -393941289*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h + 847 = -12*h. Calculate the remainder when h is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*d - 18 = 1, -3*z - 21 = -3*d. Let k be (396\/22)\/((-6)\/z). What is the greatest common divisor of k and 192?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -4*g - 22. Let x be (-4)\/(g\/(-9)) - 0. Is 4 a factor of x\/(2 + (-10)\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3508*v**2 - 1463 + 5*v**3 + 1751*v**2 + 1980*v**2 with respect to v.\nAnswer: 15*v**2 + 446*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 191 - 121. Let q be (-344)\/(-12) - (-4)\/(-6). What is the greatest common divisor of q and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*c**3\/5 + 826*c**2\/5 + 2836*c\/5 - 2256\/5 = 0. Calculate c.\nAnswer: -4, 2\/3, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7 + ((-3)\/3 - 1). Let j be (-4 - -2) + 4 + 2. What is the closest to 2 in j, g, -1\/9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2600.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.75803 - 0.517.\nAnswer: -11.27503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**3)**5\/(((m\/(((m*m**5\/m)\/m)\/m*m)*m)\/m)\/(m*m**(1\/10))) assuming m is positive.\nAnswer: m**(191\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -62.21751 to 2 decimal places.\nAnswer: -62.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25073818 divided by 14158.\nAnswer: -1771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cxcyxcxccxxmxcc. Give prob of picking 1 c and 1 m.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-427)\/122)\/((-16)\/160)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 54 - 55. Does 37 divide ((-8)\/(-12) + d)\/(1\/(-267))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j = -22*j + 6093. What are the prime factors of j?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1396 and 64.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 893 = -3*p - 5*b, 5*p - 5*b = 2240. Suppose -4*m + 1245 = p. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 392.370872 to the nearest 10.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13363, 13352, 13339, 13324, 13307?\nAnswer: 13288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2455*c**2 - 135375*c + 1030*c**2 - 3031338 - 5*c**3 - 1255537.\nAnswer: -5*(c + 95)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161 + 163 + 146 + n**3 - 470.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)*-4)**2 + (4 + sqrt(114)\/sqrt(6))**2)*6.\nAnswer: 48*sqrt(19) + 16626","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3798*i**2*s**4 - i**2*s - 8*i*s**3 + 4*s**2 - 532 wrt s?\nAnswer: 91152*i**2*s - 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -s**9\/60480 - s**8\/13440 + s**7\/1440 - s**6\/720 + 13*s**4\/12 + 12*s. Let n(g) be the third derivative of w(g). Factor n(y).\nAnswer: -y*(y - 1)**2*(y + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**21*m**(-2\/3) assuming m is positive.\nAnswer: m**(61\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 143 and 9405?\nAnswer: 122265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -356*f - 935*f = 655*f + 7784 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + o + 22. Let n be 4*(-3)\/(-9)*(-18)\/(-3). Let t be x(n). Does 10 divide 5\/(t\/(-8) - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 93845*g**4 - 7909695*g**3 + 68282530*g**2 + 230087580*g + 166406760 = 0.\nAnswer: -186\/137, 13, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2 - 10*o. Let a = 290 - 280. Suppose -3*b + 10 = -b + f, -22 = -3*b - 5*f. Let t(s) = -4 + b + s**2 - 3*s. Give a*t(z) - 3*p(z).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 2*s**2 + 2*s - 2. Suppose 0 = 3*u - 3*y - 0*y + 9, -u + 4*y = 6. What is the units digit of l(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4\/3 + 2*w**3\/3 + 8*w**2\/3.\nAnswer: -w**2*(w - 4)*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*c - 16. Let n be -4*2\/24*11. Let l = -47\/12 - n. Sort 2\/13, l, c, 3 in increasing order.\nAnswer: c, l, 2\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6515 + 8346 = 4*m + 189*m. Calculate the remainder when 394 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*-0.026\nAnswer: 0.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f - 2*t = -21, -3*f + 4*t = -25 + 84 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z - 2. Let y(x) = -3 - x - 12 + 3*x - 3 - 1. Let g(j) = -l(j) + y(j). Calculate g(19).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*u = -89*u - 5*c + 20, 5*c - 15 = -2*u. Solve 3*h = u*g - 10, -3*h - 1 = -4*g + 7 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 7*z**2 - 8*z + 4. Let v be x(-8). Solve -2*i - 2*q + v = 0, -3*i + 4*q - 11 = 18 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.43 * 50\nAnswer: -21.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(60) - (sqrt(15) + sqrt(15)*-1)*-1)\/(3*sqrt(20)\/sqrt(4)*6).\nAnswer: -5*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 9 = -4*p, -4*p - 2 - 1 = -3*g. Put -4, g, 0.3 in descending order.\nAnswer: 0.3, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5*f**3 - 1)*(-175 + 219 + 6*f - 115).\nAnswer: 30*f**4 - 355*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 233 - -11?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-36))\/(63\/(-756)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 6*h - 3. Let z be (-664)\/(-48) - (-3)\/18. Suppose -z*p - 3*p + 68 = 0. Calculate a(p).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 2. Let s = r - -24. Let w = s + -14. Which is the smallest value? (a) -2\/5 (b) w (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*c**4 + 6*c**4 + 4*c**4 + (-2*c**2 + 0*c + 0*c)*(-c**2 + 0*c**2 - c**2) in the form k*c + r*c**3 + z + q*c**4 + o*c**2 and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.8 - 3.8. Let j = 2.5 + q. Let a = 8 + -7.5. Sort j, 4, a in ascending order.\nAnswer: j, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 9. Let u = -5 - -3. Sort n, u, -5.\nAnswer: -5, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 6, -5, 33, 5, -1 in descending order.\nAnswer: 33, 6, 5, -1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 1, -15, 2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -5*o + 4. Let v be (1 - 4)*(18 + -17). Let s(u) = u**3 + 3*u**2 - 2*u - 7. Let q be s(v). List the prime factors of w(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110011100010011 (base 2) to base 4.\nAnswer: 12130103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(3\/2 + (-175)\/50). Solve -d*c + s - 8 = 0, -c + 8 = -5*c + 2*s for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 17*p**2 - 4*p - 16. Give x(-17).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 6*g + 0*g = -18, 5*s = -2*g + 6. Let a(n) be the second derivative of 0*n**2 + s + 0*n**3 - 10*n + 1\/4*n**4. Let q(d) = d**2. What is q(a(r))?\nAnswer: 9*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 40 - d - 110 + 40 + 39 - d**2 - 2*d**2 - 3*d**4 as h + w*d**2 + y*d + z*d**4 + i*d**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 10710.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 11:03 PM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/4)\/((-4000)\/38400).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7550318 and 141559?\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2576 + -23.8276. Let v = 47.3 + -24.9. Let n = v + b. Round n to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146399932.\nAnswer: 2, 7, 967, 5407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 1. Let o = 5 - z. Which is the biggest value? (a) -1\/5 (b) 3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20.4 equal to 94\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -379.3, -0.05, 0 in increasing order.\nAnswer: -379.3, -0.05, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 53298 and 114210.\nAnswer: 799470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 i when three letters picked without replacement from {i: 11, h: 9}.\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*g**3 + 27*g**3 + 25*g**3 + 99*g + 39*g.\nAnswer: 7*g**3 + 138*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 557*p**3 + 619*p**3 + p**2 - 1254*p**3.\nAnswer: -78*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5710\/25 + 2\/(-5). Let l = y - 117. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 5*b. Suppose -2*a - 5*p = -1 - 2, 2*a = 4*p - 24. Let c be m(a). Suppose g - c = 5. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 627.6 + -628. Put 0.3, u, 2\/41, 5 in decreasing order.\nAnswer: 5, 0.3, 2\/41, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -4*l**3\/7 + 129396*l**2\/7 - 21242744*l\/7 + 41967936\/7 = 0.\nAnswer: 2, 163, 32184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times 29611045?\nAnswer: 236888360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -6. Let f(h) = -h**2 + 3 + h - 1 + 2*h**2. Let t be f(g). Solve -t = 3*x - 5*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -7*u - 83. Let q(r) = -11*r - 130. Let f(z) = 5*q(z) - 8*x(z). Give f(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-2 + 4)) + (-3 - -10)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00012743643 to six decimal places.\nAnswer: 0.000127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-2))\/(244\/305)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -12\/7, 1\/4, -0.05, 24?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = q + 7, -2*j - 7 = q + 2*q. Let h be (j + -2)*(1 + -5). Let z be 13\/h - 1\/4. Solve -3*n = -n - 5*l + 10, n + 5 = z*l for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110379 is divided by 1213?\nAnswer: 1209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 51.21 and 0.12544.\nAnswer: 6.4237824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.603113um in millimeters?\nAnswer: 0.004603113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -4, 2\/701, 103 in descending order.\nAnswer: 103, 1, 2\/701, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - (10 - -11) - -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 6*p**2 + 2*p + 8. Let g be j(6). Suppose 4*k + 2*h = 4*h + 20, -5*h = g. Suppose -k*q = -0*q - 9. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 6*s**2 + s - 8. Suppose -3*k = -5 - 13. What is i(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 100151996?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 16\/12 - 24\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in 1\/3, 2\/5, -0.5, 2, 2\/23, 300?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 5, -f = -4*n - 19 - 0. Is 2\/(-4*f\/58) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 186 - -1 - (12898 - 12767)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-54)\/5*12*(-160)\/576 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.28 - 1.96. Let u = 17.46 - v. Let p = u - 23. What is the closest to -0.1 in p, 1, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k**4\/7 + 542*k**3\/7 - 8958*k**2\/7 + 54882*k\/7 - 97848\/7 = 0. What is k?\nAnswer: 3, 9, 12, 151\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*z - 3*z**2 - 41*z - 12 + 12 + 6*z**2.\nAnswer: 3*z**2 - 61*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1755 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 - -28. Suppose 4*l - r = 6. Suppose 2*a + 6 = -0*a + 3*m, -l*m + 12 = 0. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2121\/202)\/(21\/18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**5\/3 - 128300*k**4\/9 + 24580786*k**3\/9 - 8179340*k**2\/9 = 0. Calculate k.\nAnswer: 0, 1\/3, 193, 21190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**2 - 294271*b - 1460260 wrt b.\nAnswer: 4*b - 294271","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4923, 15, -3\/5, -0.4, -10?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -5221?\nAnswer: 5225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -198.7113612 rounded to the nearest 10?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 1957 - 1951 = 0. Let y(b) = -2*b**3 - 7*b**2 + 3. Calculate y(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 5*v**2 - 6*v + 4. Suppose -1472*q + 2874*q = 1437*q - 3150. Calculate the remainder when q is divided by k(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354433 (base 7) in base 5?\nAnswer: 4022033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, a: 16}. What is prob of sequence mm?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 74408 (base 11) to base 3\nAnswer: 12111120020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.68 * -10.119.\nAnswer: 6.88092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/6 and ((-8)\/30)\/(84\/690).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -223120 (base 8) to base 4\nAnswer: -102121100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 48? (a) 10260 (b) -29 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*n**3 + 70*n**3 + 72*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + v + 1. Let t(x) = x**2 - 4*x - 1 + 0*x**2 - x - 2*x**3 + 4*x**2. Let z(l) = t(l) + y(l). What is z(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 4355\/971?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/30*3)\/(30\/(-1560)*-65)*-11?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 o when two letters picked without replacement from ooototoootoooooo?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a + 3*a + 4*a)*(0 + 0 - 2*a**2) + (6 - 1 - 4)*(174 - 47*a**3 - 174).\nAnswer: -51*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 19412302.8 rounded to the nearest ten thousand?\nAnswer: 19410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dzdzdnnddzddddddd. Give prob of sequence dnnz.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4017 is divided by 40?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -1651 - 9005*x + 9005*x - 2*x**3 as z*x**3 + j*x**2 + t*x + k and give k.\nAnswer: -1651","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 3*s + 405972 = 16*r, -s = -4. Round r to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-26)\/7 - 2\/7. Let n = -5 - -14\/3. Which is the nearest to -1? (a) n (b) x (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 171, -13, -88, -1, 2, 48 in decreasing order.\nAnswer: 171, 48, 2, -1, -13, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 15 = 3*o, -f = -2*o + 3*f - 8. Suppose -2*m - o*m - 106800 = 0. What is m rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 16*x + 12 = 19*x, -2*x + 24 = -4*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-87 + 87 + 56*z)*(23*z**4 - 64*z**4 + 13*z**4).\nAnswer: -1568*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1304 + 1335 - (-328)\/(-10)\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 1720 = 4*a, -25*w - 5*a - 2579 = -28*w. What is the remainder when w is divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -31, -78, -163, -292, -471, -706?\n\"Answer: -n**3 - 13*n**2 - n - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/60)\/((-21)\/(-15))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = -9*b - 117. Let r(q) = 87*q**2 + 23*q**2 + q**b. Let x(n) = -2*n. Determine x(r(f)).\nAnswer: -222*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -74672, -149359, -224046, -298733?\n\"Answer: -74687*d + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -28 - (819\/(-52) - 12). Suppose 2*z = 3*z + 2. Sort 5, k, z, 0.\nAnswer: z, k, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-8)*26\/13.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6016 divided by -47?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1519757 and 1563?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 374901 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 33\/8? (a) -2\/11 (b) -0.3 (c) 4 (d) -2\/13 (e) 315\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 25*k + 9 - 7 - 4 - 1 - 68*k. Let x(i) = -216*i - 14. Calculate 3*x(q) - 14*y(q).\nAnswer: -46*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 74031197 and 859.\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/8)\/d*d**(-6))**(2\/37) assuming d is positive.\nAnswer: d**(-55\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3\/5)*s)\/s)**(-2) assuming s is positive.\nAnswer: s**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 18 = -4*z, -2*z + 7 = -z + q. Is (-3 - 2)*(1 - z) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-88)*-11*84\/245\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 119 - 104. Solve -4*a - q = a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*a*f + 11808*a - 1822*f**4 - 3 wrt f.\nAnswer: 12*a - 7288*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22101 and 2434029?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -198181 divided by 52.\nAnswer: -198181\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313558 is divided by 689?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 129510*a**2 + 26577*a - 2.\nAnswer: 259020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2435 by -487.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 2 = -s - m, -3*s + m + 14 = 0. Solve g = -d + s, -2*g - 5 + 19 = 4*d for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 6 + 4, z + 4*w = 11. Suppose -6*d + 5*d = 22. Calculate the remainder when 1 - (d + (5 - z)) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 225, 2181, 7625, 18345, 36129?\n\"Answer: 298*l**3 - 44*l**2 + 2*l - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 191951083 a multiple of 242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fk when two letters picked without replacement from {f: 1, y: 7, k: 1}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2111298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b410 (base 12) to base 5\nAnswer: 1111341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2440 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 759.48703 to the nearest 10.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 42 + 51 = 0. Suppose j*f = -q + 58, 3*q + 0*q - 4*f = 135. What is the remainder when q is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1815 + -1228. Let s be 12\/(-10) - 10\/(-50). Is f\/1 + s + 1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -4. Suppose -5*l + 30 = 10. Suppose 6*c - 3*c = -4*y - 8, -21 = l*c - 5*y. Put w, 0, c in increasing order.\nAnswer: c, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 + 679*r - 452*r - 227*r.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -23547 bigger than -23547?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 0 + 30. Is 3016\/32 + y\/(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of z**3 + 13*z**2 + z**2 - 95*z**2 + 88*z**4 + 0*z**3 wrt z.\nAnswer: 2112*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.23 - 65.77. Let i = 67.000073 + b. What is i rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (12 + (-11 - 13))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 10:51 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of 1\/2*y**3 + 1\/4*y**4 + 0*y**2 + 47*y + 0*y**5 - 11\/6*y**6 + 0. What is the third derivative of a(z) wrt z?\nAnswer: -1320*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*i - 6*i - 42 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/368362?\nAnswer: 1\/368362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2429000 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -11*r**2 + 300*r + 993. What is g(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11967 + -22608.\nAnswer: -10641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of j**5\/20 - 7*j**4\/12 + 5*j**3\/6 - j**2 + 3*j. Suppose 0 = t + 2*t - 18. Calculate w(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4 = 3*k. Let a(p) = -5 - 68*p - 4 + p**k + 68*p + p**3. Let t be (-1 - -1)*4\/(-12). Give a(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**(-25)*g))\/g)\/g**(-7\/4)*(g**(1\/8)*g*g)\/(g\/(g*g**24*g)) assuming g is positive.\nAnswer: g**(415\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + (sqrt(1900) + 0)**2 + 2) + ((sqrt(152) - (1*sqrt(152) + sqrt(152)))*-2)\/(-4*sqrt(48)\/sqrt(6)).\nAnswer: -5703 - sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1151153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -14*w - 1374. Give u(-98).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5 + sqrt(176) + sqrt(11))**2 + (sqrt(704) + 0)**2*2.\nAnswer: 150*sqrt(11) + 2308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = f - 3. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s - 1081. Let r(f) = 12*f + 3247. Give 17*p(w) + 6*r(w).\nAnswer: 4*w + 1105","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 0*y - y + 266, 0 = 2*y + 8. What is the remainder when x is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -5*v**2 + 377*v - 492. Let z be x(74). Solve 0 = 24*u - z*u - j + 8, 0 = -u + 4*j - 5 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25331 (base 7) to base 4\nAnswer: -1220132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4069*g**5 + 8084*g wrt g?\nAnswer: 81380*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00045071 rounded to six dps?\nAnswer: 0.000451","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(891)*-5 + 2)**2*2 + (3 + 6*(sqrt(891)*1)**2)*-1.\nAnswer: -720*sqrt(11) + 172859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 208 and 48568.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65945.\nAnswer: 5, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192 - 856 = -4*a. What is a rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 18. Let l be 24\/(-21) + x\/21. Let f be ((-8)\/(-20))\/((-19)\/5). Which is the nearest to 0? (a) 0 (b) l (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, 1, 1\/4, 3\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 4:18 PM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.2600066 + -5.26. What is q rounded to 7 dps?\nAnswer: 0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*n = n, 7 = -s + 2*n. Let f(t) = 14*t**2 - 7*t - 21. What is the tens digit of f(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101.035816 rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6366459.\nAnswer: 3, 11, 192923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = -p - x, 0 = -p - p - x + 270. List the prime factors of p.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 - 766*u - 764.\nAnswer: -2*(u + 1)*(u + 382)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*t + 35 = -49, 0 = -2*t. What is the remainder when r is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 603 a factor of 2045802321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 57.035928 - 0.4.\nAnswer: 56.635928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 4*n = -1, -3*g + 5*n = -117 + 109 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 763703935 and 5710.\nAnswer: 2855","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 248.056884ms in days?\nAnswer: 0.00000287102875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.039 - 747.\nAnswer: -747.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14346 = 4*w + 30*a - 28*a, -w + 4*a = -3609. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*p**3 + 116*p**2 - 124*p - 24.\nAnswer: -4*(p - 3)*(p - 2)*(6*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 244, 234, 224, 214, 204, 194?\nAnswer: 184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ozq when three letters picked without replacement from oqzqq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 37*-8907\nAnswer: -329559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -4, 0*c - 4*c = 2*q + 4. Let a(j) = -j**2. Let r be a(1). Let s be (-2 + r + q)*-1. Do 3 and s have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 304 - 36026*z**2 + 36024*z**2 + 261*z.\nAnswer: -2*z**2 + 261*z + 306","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 235250 (base 7) to base 5.\nAnswer: 2331130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 - 1011?\nAnswer: -1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-207 - 209 - 208 + 1256*n + 624)*(-10*n + 8*n + 3*n) to the form w*n + q + a*n**2 and give a.\nAnswer: 1256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1158447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-6)*92\/(-207).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20801817 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 24 - ((-6080)\/(-95))\/(-32)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57567589?\nAnswer: 31, 1229, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126475904 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 8 + 0 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -87, -172, -311, -504, -751, -1052?\n\"Answer: -27*y**2 - 4*y - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**2*q**2 - 119923*d**2 - 162*d*q**2 + 146*d - q**2 wrt d.\nAnswer: 2*q**2 - 239846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2725569 and 79971?\nAnswer: 1311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(784) - sqrt(784)) + sqrt(784))\/(sqrt(140)\/sqrt(5)).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 + -13. Let i(m) = m**2 + 2*m - 11. Let u be i(-5). Solve 3*j - 2*y = u, 3*y - n = -4*j - 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 94 * 12138\nAnswer: 1140972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -81 - -193a3b?\nAnswer: 19398a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 311*c - 307*c + 220, -5*l - 3*c = -563. Solve -493*q + l = -507*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 8, 1, 1\/2, -3\/5.\nAnswer: -3\/5, 1\/2, 1, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -167, 3, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {z: 10, l: 4, q: 3, p: 3}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2\/7 - 737808*b\/7 + 8116372\/7.\nAnswer: -4*(b - 11)*(b + 184463)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 3*x + 0*x)*(1 - 2 - 1) + 21*x - 22*x - 5 + 4.\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -46*((-25)\/10 + 2). Suppose 24*g - 2 = k*g. Suppose -g*q = -6*q. Solve 0*t + 5*t + 15 = q for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -466320 (base 8) in base 12?\nAnswer: -77b80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 1 + 1)*(-103*g + 140 - 140 + (-2 - g + 2)*(-4 - 1 + 4)*(0 - 4 + 3) - 3*g + g + 4*g).\nAnswer: 204*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-3\/23)*s**(-19) assuming s is positive.\nAnswer: s**(-440\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96\/(-21) + 4)*(-182)\/(-780).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26887)\/(-7682))\/((-14)\/(-204))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -26156085 - 5?\nAnswer: -26156101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 75*b + 1012. Calculate the remainder when a(67) is divided by 157.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in years?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0*m + 2 + 2*m)*(-m + 0*m + 2*m).\nAnswer: 2*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1115 + -11167\/10. What is the common denominator of -77\/10 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gucc when four letters picked without replacement from {c: 2, i: 1, u: 1, g: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -406*y + 409*y - 21849 = 0. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 16*h - 121. Let v(s) = h - 4*s + 11*s - s**2 - s. What is v(8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 35150559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Express -4236*c - 1514 - 16115*c - 6447*c + 1514 as i + g*c and give g.\nAnswer: -26798","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22269 is divided by 1237.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 25*l - 172 = -47*l, -l - 10 = -2*u. Solve 2*c = 4*s + 12, u = s - 32*c + 37*c for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-51583 + 184*j + 51583)*(-7*j + 0*j + 2*j**2 - 3*j**2) in the form p*j**3 + n*j + u*j**2 + m and give p.\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*g**4*y + 9*g**4 + 2*g**3*y - g**2*y - 51*g**2 - g*y wrt g.\nAnswer: 144*g*y + 216*g + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 182*o + 6. Let v be h(-3). List the prime factors of v\/(-66) - (-6)\/(-33).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 24, 24, 8, -30, -96, -196, -336?\nAnswer: -522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -23 and -8.319.\nAnswer: 191.337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (30\/(-24))\/(2\/(-432)). Let p be f\/(-2)*(2 - 1). Let l = -86 - p. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (5*(-5)\/(-25))\/(5\/42325) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*14 + (-989 - -1002)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -22\/21?\nAnswer: -22\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 18*q**2 + 19*q - 101. What is the remainder when h(4) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17076096 and 2304?\nAnswer: 34152192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 4\/3, -1\/21, 4?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 317 = 14*a - 369. Find the second derivative of 43*q**2 - 118*q**2 - 19*q + a*q**2 - 36*q + 2*q**3 wrt q.\nAnswer: 12*q - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p - 2*r, -2*r - 147 + 139 = 0 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**3 - 2*b + 2*b)*(-b**2 + 143*b - 143*b).\nAnswer: b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -8 + 2 + 7. Let u(r) be the first derivative of -r**4\/2 - 4*r - 2. Calculate -6*g(h) - u(h).\nAnswer: 2*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 55614300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/3)\/p*p)**(-12\/5)\/((p*p*p**(-30)*p)\/(p*p\/(p**(-12)*p))) assuming p is positive.\nAnswer: p**(204\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54.9 + 491.9. Let l = u - 433.39. Let o = -0.31 + l. Round o to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48765860 a multiple of 2006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1343120 (base 5) to base 4.\nAnswer: -12310012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 31\/2 of a centimeter?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - h = 6*r + 3008, 4*r = -2*h - 3008. Suppose 0 = 5*k + 5*o - o - 22, -4*k + o + 26 = 0. Does 31 divide (k\/(-4))\/(24\/r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 10:57 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46 + 64. Suppose 4*m - 38 = k. Let r be (4 - -10)*12\/m. Solve 2*i + 2*i = r for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*o - 92*o + 360*o - 87*o - 93*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2251?\nAnswer: 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*-67 - -2)*(105 + (-16672)\/160).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 452982.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 136836304 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*m + 372. Let v(a) = 5*a**3 + 2*a**2 + a - 6. Let i be v(2). What is the highest common factor of m and i?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 26, 16, -24, -106, -242, -444, -724, -1094?\n\"Answer: -2*b**3 - 3*b**2 + 13*b + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 4:59 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 15*a**2. Let n = 79 + -124. Let c be n\/(-10) - 3\/2. Let p(v) = v - 3*v + c*v. Determine p(k(q)).\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 1 = 2*b + 13, 4*b + 4*r = 12. Suppose -4*f + 127 = 4*g - f, 2*g + 5*f - 53 = b. What are the prime factors of g?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = x + 5. Is 22 a factor of 44\/((1 - -1) + x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 188*s**2 - 5*s - 103. Let y(a) = 562*a**2 - 18*a - 310. Let i(j) = -7*x(j) + 2*y(j). What is the second derivative of i(o) wrt o?\nAnswer: -384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 23339 = -4*v, -26*s + 15562 = -24*s + 2*v. List the prime factors of s.\nAnswer: 3, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -1170*k + 1172*k - 5*v, -4*v = -4*k + 48 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3807*z**2. Let h(x) be the third derivative of x**4\/12 + 365*x**2 - 1. Determine r(h(i)).\nAnswer: 15228*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 100 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one ninth of a week in minutes?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -84694369070 take away -39.5?\nAnswer: -84694369030.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20416428535\/168 + 121526881. Let c = k + -1562\/3. Are 1 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of 2*t**2 + 0 + 25\/12*t**4 + 0*t + 2\/3*t**3. Calculate the remainder when d(1) is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 3\/14, 0.3, -300?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1 + 3 + 3 + sqrt(112).\nAnswer: 3 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-38)\/(r*r**(-29)) assuming r is positive.\nAnswer: r**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76, 148, 216, 280, 340, 396?\nAnswer: 448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cessycshzchs. Give prob of sequence sch.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12509422031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-22)*m)*m**13\/m*m*m*m)\/((m*m*(m\/(m*m\/((m\/m**5)\/m)))\/m)\/m)**(-4\/17) assuming m is positive.\nAnswer: m**(605\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, z: 1, x: 2, u: 5}. What is prob of sequence uxx?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -49897, -0.1528, 1\/4 in increasing order.\nAnswer: -49897, -0.1528, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7097323021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a - 17. Let h be t(-17). Let r be 0 + (3 - h) + 1. Suppose w - 6*w + 9 = -3*n, 9 = 3*w. Solve 0*p - 9 = -2*p + 3*l, r*p - 14 = n*l for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 - 8. Suppose y + 36 = 3*y - 14*y. Let h = a - y. Is h a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/32 - 49\/(-28) - -18. Which is the second biggest value? (a) -1 (b) 0.06 (c) v (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -u**7\/420 + 7*u**6\/90 - 2*u**3 - 17. Let c(g) be the third derivative of p(g). What is the third derivative of c(b) wrt b?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixteen fifteenths of a millennium?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 10*o - 19. Let d(k) = 3*k - 6. Let y(t) = 2*a(t) - 7*d(t). Let v be y(2). Suppose v*r + r = 42. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 3, k: 15}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12848*l**3 + 106616 - 106616 - 12808*l**3.\nAnswer: 40*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - s + 6 = 0, -s - 1 + 3 = x. Let g be -2*(x - 2) + 0. Is -8*(-4)\/(0 + g) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 18*z**2 - 75*z - 7. Let a be (-585)\/(-54) - (-3)\/18. Let d be c(a). Solve 2*n - 19 = -d for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -98534\/8775 equal to -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(7\/(-10) + 1). Let x(q) = q + 4. Let l be x(-7). Let r(w) = -10*w. Let b be r(l). What is the highest common factor of a and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/22 and 113\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 199870 divided by -1738\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-49)\/(-21)*(-32)\/28.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 476026 to the nearest integer?\nAnswer: 690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6010 is divided by 164.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 25731, 25829, 25959, 26127, 26339?\n\"Answer: g**3 + 10*g**2 + 61*g + 25659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 1 - (-8 + 17) - -9?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 77\/4 + -259\/12. Which is smaller: -2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -226 + 1129\/5. Which is the smallest value? (a) -78 (b) h (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 133 + 138 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -1\/2*a**3 + 0 + a**2 - 3*a. Let g(f) = -4*f + 2. What is 2*g(h) - 3*n(h)?\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -11*c**2 + 20*c - 25. Let s(q) = 31*q**2 - 58*q + 70. Let i(u) = -17*p(u) - 6*s(u). Let g = 1 + 5. Suppose g*y - 5*y = -7. What is i(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 129*i - 401*i - 335*i - 38890 - 28487 for i.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -382 + 10*k**3 + 5*k**3 + 187 + 195.\nAnswer: 15*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 784021007 to the nearest integer?\nAnswer: 28000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/1795 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -1514?\nAnswer: -1515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -96 smaller than -99?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 46\/14 + 2\/(-7). Do w and 0.203 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u - 1. Let z(d) = -4768*d. Let k(r) = -2*h(r) - z(r). Let t be k(3). Round t to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -z**6\/40 - 47*z**5\/15 - 290*z**2. Find the third derivative of v(j) wrt j.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/5 and 29\/130.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/(-4))\/(65\/52)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (64\/2160*-36)\/((-2)\/5)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1*sqrt(192) + sqrt(192) + -2 + (sqrt(3) + -5*sqrt(15)\/sqrt(5) - (sqrt(30) + -1*sqrt(30) + sqrt(30))\/sqrt(10)) + 3.\nAnswer: -1 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 11*y**2 + y + 5. Let p(k) = -k**2 - k + 1. Let l(u) = 4*p(u) + z(u). Is l(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + b - v = -1, 4*b + 3*v = -7. Let d be b\/(-4) + (-85)\/(-10). Suppose -3*o + 2 - 6 = 5*z, -2*o - d = -2*z. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5815 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08267*29593.\nAnswer: -2446.45331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 10808263765.\nAnswer: -10808263767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*m - 92*m - 1197 - 1383 = 0 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/4 and -13\/70.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -17*q - 180. Give a(-14).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 76 + -55. Suppose 308 = -17*m + u*m. Calculate the highest common factor of m and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 + 0.2. Let g = -56 + 39. Let i = g + 22. Put i, p, -4 in decreasing order.\nAnswer: i, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s - 3*s - 5*s + 6*s to the form k + p*s and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + 1 + 44 - (-31 + 11)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -4.8\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**6*z**(-1)*z*((z*z**5*z)\/z)\/z*((((z\/z**(2\/11))\/z)\/z)\/z*z)\/z)\/((z**0\/z)**(-17\/3)\/(z**(-4\/7)\/(z\/(z\/z**(-4\/3))))) assuming z is positive.\nAnswer: z**(904\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -352*i**3 + 180*i**3 + 174*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.06 - -3.94. Which is the third smallest value? (a) -4 (b) f (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 15*v - 663 = 0. Let o = 55 + v. Suppose q + 2*w = -2*q, -3*q - 6 = o*w. Solve f = -3 - q for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -170637385 - -170637209.376442. Let b = 250.6235698 + u. Let g = b + -75. Round g to 6 decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, l: 6, f: 1, u: 1, o: 2, q: 7}. What is prob of sequence ollo?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {m: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1157\/11 + 105. Let k = 2233\/6 - 6731\/18. Put k, 1, n in descending order.\nAnswer: 1, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1456654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.135, 2, -0.08, -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1154244 to the nearest integer?\nAnswer: 1074","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.343 - -271.343. Let w = k + -270.849. Round w to two decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + d + 125 = 6*d, -5*q + 124 = 4*d. Let a(h) = -25*h - 13 + q*h + 4. What is a(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*t + 72 = -156 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6\/5 of a kilometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 0.3, -4, 65.8, 749, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 16) in base 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14111621 - 2?\nAnswer: 14111618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 315 - 196. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 395 or 1\/36?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 6*d**2 - 5*d + 7. Let j be (-2 - -2)\/(-6 - -8). Suppose j*s - 15 = 3*s. What are the prime factors of a(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) -0.3 (c) 3 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((((-6831)\/(-966))\/(-33))\/((-3)\/(-4)))\/((-40)\/(-42))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = z - 2 + 10, 0 = 3*a + z + 10. Let l be -3*3\/6*a. What is the first derivative of -1 - l + r**4 + 1 wrt r?\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 24*d - 45. What is m(-26)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 742.36 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 a when two letters picked without replacement from geaqr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 18, 4, -17, -2 in increasing order.\nAnswer: -17, -2, 1, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y - 6. Let t(f) = -f**3 + 8*f**2 - 1. Let o be t(8). Let v = o - -11. Calculate the smallest common multiple of n(-6) and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -13818158, -13818157, -13818156?\n\"Answer: w - 13818159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14\/115 + -1\/46. Let b = 92.636 - 89.636. Put k, -0.02, b in descending order.\nAnswer: b, k, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1213\/205 + -51007\/7380. Find the common denominator of q and -101\/30.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 9, 8, -2, -4 in descending order.\nAnswer: 9, 8, 7, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 23211 (base 4) in base 2?\nAnswer: 1011100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000120364 to seven dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -14 + 23. Let q(n) be the first derivative of 2\/5*n**2 + 2\/5*n - 3 + 2\/15*n**l. Factor q(g).\nAnswer: 2*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -m**3\/2 + m**2\/2 - m. Let v be (-2)\/(-7) + (130\/35 - 6). Let t be o(v). What is the greatest common factor of 1 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((24\/54)\/(-2))\/((-36)\/513) - 3. Let t(s) be the first derivative of 0*s - x*s**4 - 17 - 2\/3*s**2 + 2\/3*s**3. Factor t(o).\nAnswer: -2*o*(o - 2)*(o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r + 1. Let d(q) = -284*q + 4. Let j be d(0). Let k(o) = 25*o + 5. Calculate j*w(s) - k(s).\nAnswer: -29*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 54*l**2 + 63*l + 146. Calculate z(54).\nAnswer: 3548","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 10, d: 2}. What is prob of sequence vdvd?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -796 or -799?\nAnswer: -799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 (base 11) in base 4?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*z**2 - 2*z + 0*z + 14 - 13)*(-1 - 8 - 5).\nAnswer: 238*z**2 + 28*z - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + (sqrt(153) - (sqrt(153) - ((sqrt(153)*2 + sqrt(153))*1 + sqrt(153) - sqrt(153)))))\/(sqrt(324) - (sqrt(324) - sqrt(324)*1 - sqrt(324))).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c - 3 - 1 + 2)*(9*c - 6*c**2 - 9*c)*(25*c - 47*c + 34*c) as v*c + o*c**4 + p*c**3 + f*c**2 + w and give o.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*g**6 - 196182*g**4 - 5*g**2 + 1007*g - 144 wrt g.\nAnswer: -1320*g**3 - 4708368*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 1f?\nAnswer: 1f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-3\/5))\/(w*w**(-3)\/w*w))\/((w**(-2\/3)\/w)\/w*w*w*w**(-5\/4))*((w**(-7)*w)\/(w**(-2\/7)*w))\/((w**(4\/5)*w)\/w**8) assuming w is positive.\nAnswer: w**(2101\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 35 = -4*i. Solve -i*g + 3*g = -d + 17, g + d = -3 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 16.3. Which is the third biggest value? (a) 0.5 (b) q (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 9:36 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2563411153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (0\/1)\/((-2)\/(2\/1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324016144.\nAnswer: 2, 197, 102797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 2. Suppose 0 = -j*f + f - 9. Put -1\/2, 3\/5, f in increasing order.\nAnswer: f, -1\/2, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 56.5102nm?\nAnswer: 0.0565102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**2\/5 - 306*l\/5 + 464 = 0. Calculate l.\nAnswer: 8, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17*c*h**2 + 2*c*m**2 - 740*c + 29*h**2*m + h**2 - 214*m**3 wrt m?\nAnswer: 4*c*m + 29*h**2 - 642*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + (-24)\/4 + 3. Suppose d = 2*v - 6, -2*l - 5*v = 9 - 36. What is the tens digit of 186\/l - 0\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(27\/5)*96\/80?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**3 - 4*d**2 + 4*d - 2. Let v be j(2). Solve -3*t = -9 - v for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13169*h**4 - 9065*h**2 - 2*h?\nAnswer: -316056*h","meta":{"dup_signals":{},"source":"calculus__differentiate_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: Factor -16*y**3\/3 - 1586*y**2\/3 - 38600*y\/3 + 35000\/3.\nAnswer: -2*(y + 50)**2*(8*y - 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 55*r - 62*r + 49 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qhccoqoe. Give prob of picking 1 h, 1 q, and 1 e.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 59890*q - 4 - 29934*q - 29959*q + 6.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h. Let w = -4 - -1. Let t be (1\/w)\/((-6)\/18). Calculate l(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-26)\/(-221) - 268\/(-34). Which is smaller: x or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 125.1 + -120. Let r = o - 1.1. Let n = -0.2 + 0. What is the second biggest value in r, 0.3, n?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 26*f. Let o = 4 + -1. Let j be ((-420)\/(-112))\/(o\/(-4)). Let m(g) = -273*g. Determine j*m(q) - 52*y(q).\nAnswer: 13*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 15 = -2*v - 2*v. Suppose -3*b = 19 - 91. Suppose -v = -29*a + b*a. Solve -f - a*j = j - 10, 8 = 5*f - j for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 12:15 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - y**2 + 2*y + 2. Calculate the remainder when w(-2) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2071*r - 2777*r + 175511 = 35780 - 68733 for r.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 553*n - 550*n + 2 = 2*h, -5*h + 5 = 2*n for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, t: 7, b: 3, f: 4, g: 1}. What is prob of sequence tbf?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201333 (base 8) to base 16.\nAnswer: 102db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 6 = -4*h, -2*h + 3 = -5*h - 4*w for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -4. Suppose -v - 15 = -q*s, 3*v - 2*v + 10 = s. Let b(z) = -z - 7. Let k be b(v). Let l(n) = -n**3 - 3*n**2 - 2*n - 2. Give l(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4264958540 to the power of 1\/5, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -177\/772 - 4\/193. What is the common denominator of i and 65\/222?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15561 a multiple of 239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + g + 8. Let q be o(3). Suppose -d + q*f = d - 20, -3*f = d + 2. Is d a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19187 and 7.\nAnswer: 19187","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 16) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -8 - (347 - 449)?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -21. Let m be (9\/27)\/(h\/(-9)). Let f be 5\/(3 + -8) + m. Solve f*s = i + 2 - 10, 2*s = -4*i + 2 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1266?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 148*o - 214*o + 165*o to t*o + k and give t.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60078, -120747, -181416?\nAnswer: -242085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-3 - (0 - 3)) + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -1 (b) -1\/2 (c) 2\/15 (d) 3\/4 (e) 4\/33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -5652635?\nAnswer: 5652634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 3) in base 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 1:22 AM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -816, -93227 in descending order.\nAnswer: 4, -816, -93227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -9*q**2 + 5*q + 26. Let x(u) = 4*u**2 - 2*u - 13. Let a(c) = 13*x(c) + 6*z(c). Let j(n) = n**2 - 2*n + 7. Determine -6*a(p) - 11*j(p).\nAnswer: p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 222996287 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6367?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-240)\/9)\/(2\/6). Let b = -32 - z. Does 12 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -15 + (-8856)\/246?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.169 in -34, -0.5, 0, 3, 64?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 i when two letters picked without replacement from {a: 1, i: 1, r: 1, q: 1, u: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6, 0, -165 in decreasing order.\nAnswer: 6, 5, 0, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**2 + 4. Let f(u) = 1. Calculate -20*f(i) + 5*t(i).\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3\/4, -6, -0.15, 5?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8172.685 millilitres to litres.\nAnswer: 8.172685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -3*h**2 + 0*h + 0*h**3 + 7\/24*h**4 + 0. Let v(q) = -2*q**2. Give v(j(i)).\nAnswer: -98*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 7 - (41 + -48)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(112\/(-21)))\/(-3).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5*f = -5 - 11, 5*g + 3*f + 17 = 0. Let k(q) = q. Let s(l) = l + 11. Determine g*s(x) + 4*k(x).\nAnswer: 3*x - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -0*f. Let i = -2047.04 + 2047. Sort 2, f, i.\nAnswer: i, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -4310413?\nAnswer: 4310414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/81? (a) -0.03 (b) -1\/4 (c) -5 (d) -0.26 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.42 - 178385031852.6\nAnswer: -178385031853.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -24 + -4 - (2 - -1). Let g = -27 - k. What is the third derivative of 2*r**2 - g*r**4 - 4*r**4 + r**4 + 3*r**2 wrt r?\nAnswer: -168*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19465 and 595.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -5*k - 59. Let f be u(-19). What is the greatest common factor of 108 and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 321 or 320?\nAnswer: 320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -7*n**2 - 7*n - 3. Let r be 6\/(-21) + 185\/35 + 1. Let t(v) = -20*v**2 - 20*v - 9. Calculate r*t(d) - 17*k(d).\nAnswer: -d**2 - d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 746891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a hour in minutes?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 78*j + 1389. Calculate the remainder when 5480 is divided by q(-17).\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - m = -19, 4*m - 5*m = -g - 1. Let n be (8*1\/(-2))\/(2\/(-1)). Suppose -s + 386 = 3*d, -771 = -2*s - g*d - n*d. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -11*c - 8. Let z be ((-12)\/c)\/((-5)\/(-150)). Suppose -o - 4*w + 210 = o, 2*o - 2*w = z. What is the highest common factor of o and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-40)*(-72)\/270?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2 + u - 4. Let d be i(2). Suppose -12 = -4*t + 3*b + 2*b, 0 = t + 2*b - 3. Solve 3*k = -5*q + 6, -4*q + d = -2*q + t*k for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27193?\nAnswer: 71, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 42720961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 316 = 4*g, y - 4*g = 5*y - 260. Let w = y + -39. Is w a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4449593000 rounded to the nearest one million?\nAnswer: -4450000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 91774 = -4*r, 3*n + 7*r - 14265 = 123394. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -304961, -304968, -304977, -304988, -305001, -305016, -305033?\n\"Answer: -b**2 - 4*b - 304956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1304)\/11736*(-2)\/(-2)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 230230.\nAnswer: 230230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -21*(8\/12 - 2). Suppose -j + 13 = -3*m. Suppose -q - 72 = -m*q. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1314575)\/125)\/((-1)\/5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 8 = 0, -4*c = 5*o - 36 - 32. What is the remainder when 200 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/((-27)\/(-12) + -3). Let l(k) = 4*k - 6. Does 5 divide l(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h - 1. Let r be (-9)\/(7 - 208\/28). Suppose g + r = 4*p, -2*g = p - 8 + 14. Let q(x) = 7. Calculate p*v(o) + q(o).\nAnswer: -4*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-40)\/(-4))\/(-2)*(-309)\/1854)\/(135\/(-12)).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 7:47 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24466 times -0.1?\nAnswer: -0.024466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000110010011 (base 2) in base 8?\nAnswer: -20623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 140 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 18474*d - 239. List the prime factors of m(1).\nAnswer: 5, 7, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 9*h**4 - 4*h**3 - 5*h**2 + 4*h + 4. Let i(f) = -f**3 + f + 1. Let d(c) = -4*i(c) + k(c). Find the third derivative of d(s) wrt s.\nAnswer: 216*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k**2 - 456*k + 5899. Determine g(14).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -522 + -1762?\nAnswer: -2384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2326, 4631, 6936, 9241, 11546, 13851?\n\"Answer: 2305*f + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 259\/14 + 2\/4. Suppose -225 = -x*v + 10*v. Solve -3*c + 14 + 6 = h, -h + v = 4*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (16 - (-14 + 12))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 2 - 2, m = -4*x - 135. Let v = m - -521\/4. Sort v, -1.1, 1\/3.\nAnswer: -1.1, v, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 2)*(5*b**4 - 21*b**2 + 21*b**2 + (4 - 5 - 1)*(-4*b**4 + 0*b**4 + 2*b**4) + 4*b**3 - b**4 - 4*b**3)*(700 - 1404 + 706 - 552*b).\nAnswer: -4416*b**5 + 16*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(288) - sqrt(288))*5*1 - ((sqrt(288) + 1 + sqrt(288) + 1)**2 - sqrt(288) - ((-1 + sqrt(288))*-5 - sqrt(288))))*-6.\nAnswer: 2016*sqrt(2) + 6906","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*d*l**3 - 172*d*l**2*m + 2293790*d*l*m**2 + 652*d*l - 3*l**3*m**3 wrt m.\nAnswer: 4587580*d*l - 18*l**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -1, 2\/3, -0.02, 3\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.44 + 1.74. What is the closest to 1 in -2, -6, l, -4\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 - -111. Let d = 336 + -281. What is the greatest common divisor of a and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvqvqqxxqaxqqvqlq. Give prob of picking 1 q and 1 x.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of 1249*a**5\/60 - 5*a**4\/12 - 8*a**3\/3 - 5*a**2 + 2*a. Is t(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -294*j + 12. Let q be k(-7). What is q rounded to the nearest one hundred?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1371 = 4*c + 1411. Let k = 2 + -1. Let z be (-5)\/((2 + -3)*k). Sort 0, z, c in increasing order.\nAnswer: c, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 6*g**3 - 329*g**2 - 61*g + 179. Determine r(55).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 9 (b) -75 (c) 1 (d) 5.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2)*y**(-1\/7))\/(((y*y\/(y\/(y**(-4)*y))*y)\/y)\/(y\/(y\/(((y\/y**(-5\/4))\/y)\/y)))))**(-2\/7) assuming y is positive.\nAnswer: y**(-3\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55 and 772732?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 15) in base 6?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (-1 - -1) + 18. Solve 5*p - l = 7 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**3 - b**3 + 2*b**3 + (0*b - 5*b + 2*b)*(0*b - 2*b**2 + 0*b) + b**2 - 5*b**3 + 3*b**3 + 0*b**3.\nAnswer: 2*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-1) - (-240)\/8) + -4. Suppose -t*d + 66 = -13*d. Let a(o) = 3*o**2 - 3*o + 1. What is the units digit of a(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 427, 1702, 3835, 6826, 10675?\nAnswer: 15382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/9)\/(28\/21).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 110764*k*p**3 - 10966*k*p + 60*p**4 - 35*p**2 wrt p.\nAnswer: 664584*k + 1440*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.06 - -2.16. Let z = 8 - 8.2. Which is the closest to g? (a) 12 (b) -2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 9:10 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9231.349 litres in millilitres?\nAnswer: 9231349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 325245 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: Let r(d) = 26*d**2 + d. Let h be r(1). Let n be (-440)\/(-16) - 3\/((-13 + -14)\/(-9)). Is h at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/16 of a centimeter?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34467 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2300, -4601, -6902, -9203, -11504?\n\"Answer: -2301*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7476 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + v - 20 = -2*t, 4*t - v = 25. Let j be ((-4)\/t)\/(2\/5) + -5. Let a(k) = k - 3. Calculate a(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -4, 1037?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 518*m**3 - 1971*m**3 - 7*m**2 + m**2 + 9*m**2 to h*m**2 + n*m + j + k*m**3 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10422 and 1413918?\nAnswer: 4241754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/9)\/(7\/(-126)). Let q be 1\/8 - 2102397\/y. Round q to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/184 and (162\/(-540))\/((-126)\/1370).\nAnswer: 3864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -998648, 2\/3, -0.2, -5 in decreasing order.\nAnswer: 2\/3, -0.2, -2, -5, -998648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 38*u - 37*u. Let f be u*(53 + 4 + -1). Calculate the common denominator of 49\/10 and (1\/(-3))\/(f\/2226).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 128 = 6759*d - 6736*d, 3*d = -5*x + 102 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 570, 1\/3, -1\/7, 4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + 185 = 521. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-161)\/(-21) + -7)*(-10)\/4.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -449251 bigger than -308?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 279316687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 18186638 divided by 1\nAnswer: 18186638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*c = 3*a + 16*c + 6, 0 = 5*a + 2*c + 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 37384.\nAnswer: -9\/37384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -u - 4. Let q be ((-2)\/4)\/((-3)\/u). Let w(z) = -1 + 9*z**2 - z - 9*z**2 - 11*z**2. What is w(q)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 6934 + 18662. Let v = -1964495\/307 + r. Let f = v - -3999\/1228. Which is bigger: f or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**3 + 6*y**3 + 8*y**3.\nAnswer: 18*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 5*q**4 + 2*q**2 + 8*q + 2. Let s(u) = 19*u**4 + 9*u**2 + 33*u + 9. Let m(f) = -9*i(f) + 2*s(f). Find the second derivative of m(v) wrt v.\nAnswer: -84*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1414 minus 13680.2083286?\nAnswer: -12266.2083286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + (-2 - -1) + -3. Do -1\/2 and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65380 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 5*n - 2 = -0*t + 32 + 21, -8*t = 3*n + 268 for t.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of g**7\/2520 + 7*g**5\/2 + 7*g**2 + 15*g. Let x(i) be the third derivative of f(i). Let k(w) = 89*w**2. Give x(k(l)).\nAnswer: 178*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 268, 535, 802?\nAnswer: 1069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/35)\/(96\/(-10) + 10)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 284*v**2 + 42*v + 11*v**4 - 12*v + 47*v**5 - 30*v wrt v?\nAnswer: 2820*v**2 + 264*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15754 at most -0.696?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 21*j**3 - 4*j**2 + 217*j - 213. Give d(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g - 2017. Let u(f) = -1. Calculate -t(o) - 4*u(o).\nAnswer: 2*o + 2021","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 j when three letters picked without replacement from {m: 2, z: 1, x: 1, j: 1, l: 1, f: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 10 + 1 = 0. Find the common denominator of 57\/10 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/3 + (-4)\/12. Suppose i + 1 = -s - 4, 25 = -2*s - p*i. Which is greater: -2\/5 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of 11\/4*s**5 + 0*s + 1\/420*s**7 + 250\/3*s**3 + 325\/12*s**4 + 31\/240*s**6 + 15*s**2 + 0. Find v, given that t(v) = 0.\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19017 = 41*w - 50*w. Suppose 23*l - w = -204. Is 9 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(672)*-1 + sqrt(672)))\/(sqrt(42)\/(sqrt(7) + sqrt(343)*6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (348\/(-203))\/(6\/(-21)) + (-45)\/8.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - cd?\nAnswer: -c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -434*-0.04\nAnswer: 17.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnfnnnnnnfnnnfff. What is prob of sequence nfff?\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50519\/10527 + 383\/87. Calculate the common denominator of a and 79\/99.\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1680)\/36*9207\/4092.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-117*b**2 + b - 822*b**2 - 504*b**2)*(1 - 1 + 2*b) to the form l*b**2 + x + t*b + f*b**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 30 = 4*l. What is the remainder when l is divided by (18\/(-8))\/(30\/(-80))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -904551*0.2\nAnswer: -180910.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65216955?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -96*i**2 + 1120*i - 1108. Let o(v) = -89*v**2 + 1120*v - 1109. Let m(f) = 14*o(f) - 13*s(f). Factor m(n).\nAnswer: 2*(n - 1)*(n + 561)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.4, 7\/5, -2\/1051 in decreasing order.\nAnswer: 7\/5, 0.4, -2\/1051, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3269 - -29430. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1 + 13140.5?\nAnswer: 13142.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l - 21. Let b be x(5). Is b > 21\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1872 + 900 = -194*q - 526 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3896\/261 + 142\/9. Find the common denominator of -151\/6 and d.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f - 5, 864396*n - 122 = 864393*n - f - 0*f for n.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 294932, 294933, 294934, 294935, 294936, 294937?\nAnswer: 294938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*f**3 - 2*f**2 - 2 - 23*f**3 + 2 in the form l + g*f + k*f**2 + n*f**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 v when two letters picked without replacement from {r: 2, c: 1, k: 1, u: 1, v: 1, m: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 272 - 206. Does 9 divide (-54)\/(-4)*(28 - o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5410429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 125 = -4*u - 135, 5*c + 62 = 7*u - 83 for c.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 66\/(-44)*(2 - (0 - -14)). Let r = 143 + v. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilometer in centimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*o**3 + 25*o**2 - 480*o + 560 = 0. What is o?\nAnswer: -7, 4\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 431292870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 274824.\nAnswer: 2, 3, 11, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 188*j**2 + 1419*j - 10487. What is a(195)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 17 = -7. What is the tens digit of (w\/(-5))\/((-1)\/70)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44 - -44.3. Let p = 235.8 - 236. What is the second smallest value in p, -7, c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59909, 119816, 179719, 239618, 299513, 359404?\nAnswer: 419291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/72 and 13\/24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of 0*k**5 + 0*k**4 - 4\/3*k**3 - 13\/10*k**6 + 0 - k**2 + 55*k. What is the second derivative of y(w) wrt w?\nAnswer: -468*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/2)*c*c**(-9)\/c*(c\/(c*(c\/c**(-5))\/c)*c)\/(c\/(c\/((c\/(c\/((c*c\/(c\/(c**2*c)*c))\/c)))\/c))*c) assuming c is positive.\nAnswer: c**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-210)\/(-1050))\/(1\/(-2))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39651114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 51, 74, 97, 120, 143?\nAnswer: 166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -6\/17, 26 in decreasing order.\nAnswer: 26, -2\/9, -6\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -87a0a (base 16) in base 3?\nAnswer: -1001020001012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, 0.3, 4, -0.2, 5, 421, -618?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 5*m**3 - m**2 + m - 1. Let w = 32 - 31. Let y be s(w). Let n be -3 - 0 - -11 - y. Solve -2*x + 2 = -n*j, x = 5*x + 2*j + 16 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7107 by 31230.\nAnswer: 2369\/10410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -x**6\/15 + x**4\/3 - x**2 - 4*x. Factor i(g).\nAnswer: -2*(g - 1)**2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -290*t - 3*x = -287*t - 54, t = -0*t + 2*t - 0*x - 5*x for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88826, -177651, -266474, -355295, -444114?\nAnswer: -532931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + (17 - 8 - -7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 678463905?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 12 + 6 - 4710*j.\nAnswer: -4710*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 94430924, 94430909, 94430894, 94430879, 94430864, 94430849?\n\"Answer: -15*p + 94430939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7\/13 + 22\/65. Which is the third biggest value? (a) -2 (b) 3\/7 (c) u (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*c**3 - 3*c**3 + 0*c**3)*(0 + 2 + 1) + 4*c**3 + 3*c**3 - 12*c**3 + (-c + 4*c - 4*c)*(-c**2 + 3*c**2 - c**2) to a*c**3 + y*c + q*c**2 + i and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 + 3*w**2 - w**2)*(31*w**3 + 149*w**2 - 149*w**2).\nAnswer: 62*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 - -0.13\nAnswer: 0.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1097 divided by 1\nAnswer: -1097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-36)\/3*((-154)\/42 - -4). Which is the nearest to -1\/5? (a) i (b) 1\/63 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 92839 and 6049?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 192.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/31801 + 3529879\/1017632. Which is smaller: 4 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + w = -4*p + 195, -5*w - 3*p + 907 = 0. What is the remainder when w is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66)\/(-627) + 6\/(-57)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 12 - 6*k**2 + 4*k**2 + 10*k + 3*k**2 - 1. Let j be p(-8). Let w(z) = -38*z + 1. Is w(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2529557447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3\/181 + 1107\/1267. Is q > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k + 3. Let i(j) be the first derivative of j - 1344. Determine 15*i(c) - 5*u(c).\nAnswer: -15*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-245)\/84 + -7 + -2 + 5 and -139\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 192 = v, u + 33*v - 192 = 29*v. What is the smallest common multiple of 544 and u?\nAnswer: 3264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6502*c - 8686*c + 3921*c**4 + 18681*c wrt c?\nAnswer: 47052*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 105 (c) -0.3 (d) -24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*n**4 + n**3 + 368774*n**2 - n**3 - 370176*n**2 wrt n?\nAnswer: -72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -46. Let a = -9 + 14. Suppose -a*z + 304 + w = 0. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of n**4\/12 + n**3\/3 - n**2\/2 + 5*n. Let x be j(1). What is the second derivative of 2*u**x + 115*u - 116*u - u**2 wrt u?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vww when three letters picked without replacement from wwwwwwwwwvvww?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-3 + 6 + -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -436.059 + 454.27. What is v rounded to 0 decimal places?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97269 is divided by 1013.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -447 divided by -21.\nAnswer: 149\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9ba865 (base 13) in base 6?\nAnswer: 210505221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -1\/2*y**2 - 18 - 8\/3*y**3 + y. Determine f(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 2.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - 5172*s + 884116. What is w(177)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3694 is divided by 203.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 + -18. What is the units digit of h\/4 - (-5)\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2730994884?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -7856.5?\nAnswer: -7856.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/4 of a week?\nAnswer: 42840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1245 is divided by 78.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70938376?\nAnswer: 2, 419, 21163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -31.19398 to two dps.\nAnswer: -31.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2*c = 1 - 0, 3*c = -4*b. Let z be 1\/(-2) - (-3)\/2. Let k = -26 - -25. Put k, z, b in descending order.\nAnswer: b, z, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -136.11 + 134.11. Let w = -7 - -3. Let t be (0 - 1)*(2 - -4). Which is the third smallest value? (a) k (b) t (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5630 divided by 1126.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f. Let l(k) = k**3 + 4*k**2 - 8*k - 15. Let y be l(-5). Suppose 3*x + 4*r + 17 + 9 = y, 33 = -4*x - 5*r. Determine u(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25676?\nAnswer: 2, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6)\/15 - (-535)\/25?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 7*i**2 + 5*i - 10. Calculate the remainder when 199 is divided by f(7).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50360?\nAnswer: 2, 5, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y*y\/(y*y**(-41))*y*y**36 assuming y is positive.\nAnswer: y**80","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -18*-2*1\/(-4). Let j = k - -7. Let i be 6\/(-15) - j\/5. Solve 3*s - 2*m - 21 = -i*m, -16 = -5*s - 3*m for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000266980804 rounded to seven decimal places?\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4672 and 19527208.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2985704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -26299 and -14.\nAnswer: 368186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 17 = 41 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k**5 - 115*k**4 + 375*k**3 + 12215*k**2 - 25070*k + 12600 = 0.\nAnswer: -20, -14, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence utuu when four letters picked without replacement from {t: 1, u: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*g = -6 - 76 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 - 1)*(-y + 0*y - 4*y) + 0*y - 2*y + y to the form z*y + r and give z.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a8d + -7?\nAnswer: a86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*2\/(-4) - (-2 + -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 376\/(-1410)*1*25*1\/(-2)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1*2\/(-6) + (-260)\/60\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 3*x**2 - 5*x + 3. Suppose -2*f + 10 = 5*v - 11, -2*f = -v - 3. List the prime factors of g(v).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 12 = -t. Let y(w) = -1 - 2*w + 2 - 3 + t. Let m(g) = -3*g + 1. What is 4*m(i) - 5*y(i)?\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o + 5 - 1 - 1. Let u be j(0). Suppose 2*x + 2*b - 5*b - 31 = 0, -5*b - 17 = x. Solve u*h - x = h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -593\/1520 - 3\/304. What is the biggest value in 5, s, -3\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -b**4\/12 - 3*b**3\/2 + 13*b**2\/2 - b + 12. Let s be (-2)\/(4 + 95\/(-25)). Give k(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006049337374 rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(-8) + (-102)\/24 + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 213*d + 241*d - 21 - 65*d**2 - 454*d.\nAnswer: -65*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 1 = 2*m. Find the common denominator of m\/2 + (-155)\/45 and -1\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-3) - 12\/(-18). Let n(p) = j - 6*p**2 - p**3 + 5 - 3 - 6*p + 1. What are the prime factors of n(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4208 - -7?\nAnswer: -4201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 55 = 4*k. Suppose 9 = k*c - 16*c. What is the remainder when 3 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2708 divide 158037595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17\/60 + -1\/30. Factor t + d*t**2 + 1.\nAnswer: (t + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3633*((-15)\/(-10))\/((-1)\/(80\/(-24)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39332136*c**2*w**2 + 7*c**2*w - 581883*c*w - 3*w**2 - 33*w wrt w.\nAnswer: 78664272*c**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116219*a = -116169*a + 50 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3384 + -400?\nAnswer: -3784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 126883?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -23*k**4\/2 - 724*k. Let f(o) = -2*o. What is f(x(y))?\nAnswer: 276*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*d + 38*d = 3*q + 12871, 4*q - 103024 = -8*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + c - 1 = -3, -5*c = -p - 2 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1564874581 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.44 + -0.04. Let k be 1*(2 + 8\/(-3)). What is the third biggest value in h, k, -0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2268) - (-2*sqrt(2268) - sqrt(2268)))*3)**2.\nAnswer: 326592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22627020 by -5.\nAnswer: -4525404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 90 = 5*t - 980, 2*a - 364 = -2*t. Let k = t - 47. Suppose -5*h = -5*g - 0*h + 325, h = -2*g + k. Is g a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) - (-5 + -1*sqrt(700)) - (2 + -1 + sqrt(28)))**2 - (((sqrt(252)*1)\/sqrt(9))\/(-2*sqrt(16)\/sqrt(4)) + -4).\nAnswer: 289*sqrt(7)\/2 + 2288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2583400*n**3 - 2 + 1291628*n**3 + 2 + 1291773*n**3 + 0 + 0.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3426976 is divided by 758?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*u - 23*u - 322 = -3*d, -5*d = -2*u - 530. Calculate the remainder when d is divided by 56.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, w: 1, a: 7, y: 1, t: 4}. Give prob of sequence yaw.\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = -1186 - 278. Let z = j + 146. What is the lowest common multiple of z\/(-10) + (-3)\/(-15) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-435)*354\/59?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15662?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2097620205?\nAnswer: 3, 5, 347, 403001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -164?\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*o + 9 = 0. Suppose -o*g - g + 3*n = -55, -4*g = -n - 61. What is the remainder when 108\/(-144)*(2*-1 - 38) is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 236, 570, 1130, 1916, 2928, 4166, 5630?\n\"Answer: 113*g**2 - 5*g + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -1451480*l**2. Let r(n) = -187*n. Determine j(r(d)).\nAnswer: -50756804120*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 5*i - 2. Let z be v(-7). Suppose 0 = -2*k - 2*k + z. Solve k*r = -g + 15, -r - g + 4 = -1 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/((-2)\/52 - 0)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6101664 - 61120211\/10. Let d = -10347 - b. Calculate the common denominator of 79\/16 and d.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 + 7. Let i = 130.2 + -137.2. Let m = u - i. What is the closest to 0 in -0.1, m, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -4*o + 35, o + 20 = 9*h - 14*h. Which is the fourth smallest value? (a) h (b) -211 (c) -0.4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -202122011002?\nAnswer: -202122011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = c - 1395000, 0 = 4*i - c + 391900 + 724100. Round i to the nearest 10000.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/63*(-1)\/(4\/18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4664 - -4666. Let z(l) = l**2 - l. Let m(k) = -k**2 + 2*k. Give t*z(i) + m(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/45171247 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + (-54)\/(-9))*1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15413 + -15413.00075656. Round y to five dps.\nAnswer: -0.00076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2112572576 to the nearest integer?\nAnswer: 45963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 3*o + o)*(3748 - 1870 + 24*o - 1871) - 2*o**2 + 3 - 3.\nAnswer: 22*o**2 + 7*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a - 14 + 5 + 5 + 2.\nAnswer: -5*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1759, -253, 3835, 11801, 24941, 44551, 71927?\n\"Answer: 216*o**3 - 5*o**2 + 9*o - 1979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 16*r - 7*r + 2 - 5. Suppose -3*k = -5*w - 39, 15 + 0 = -5*w. What is the units digit of f(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z**3 + 4*z**2 - 4*z**2)*(1326*z - 668*z - 668*z) to l*z**3 + s*z**4 + x*z**2 + t*z + p and give s.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 141, -5, -4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -6*x**2 - 86*x + 16. Let d be m(-17). What is the third smallest value in 2\/3, -0.1, d?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 u when two letters picked without replacement from {w: 7, l: 1, u: 1, c: 3}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.778 plus 0.1065105?\nAnswer: -0.6714895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47075 and 14731785.\nAnswer: 1345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -255896 divided by -8.\nAnswer: 31987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*r - 2*r - 5*r)*(-3 + 0 + 2) to the form p*r + s and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22.7 - 7.3. Let v = 65 + j. Let g = 31 - v. What is the nearest to 1 in -0.2, -13, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -17*y**2 - 5. Let r(a) = -11*a**2 - 3. Let d be 6\/(-4)*24\/9. Let b be (-64)\/(-12)*(-6)\/d. Determine b*r(k) - 5*h(k).\nAnswer: -3*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -3986*v + 3988*v + 43, 35 = 65*m - 5*v for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/1268 and -85\/175714.\nAnswer: 111402676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -z**4\/6 - 4*z + 872. Let m(h) = -1185*h**2. Determine m(w(q)).\nAnswer: -4740*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 90925643*j. Let b(a) = -3*a. Determine p(b(s)).\nAnswer: -272776929*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5458000 rounded to the nearest one hundred thousand?\nAnswer: -5500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 390*x + 275 = -3235 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 - 3436126972160\nAnswer: -3436126972159.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 10. Suppose 2*z + 0*p = 3*p + 22, -4*z = -p - 64. Suppose 2*w - z - 7 = 0. Solve j + 19 = i - l*j, -2*j = 4*i + w for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ucucrr. Give prob of sequence cr.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1011 - -21010221212?\nAnswer: 21011000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 d when two letters picked without replacement from {f: 2, i: 1, d: 1, w: 7, h: 5}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -9*v**5\/10 - 5*v**3\/6 - 18*v. What is the second derivative of f(m) wrt m?\nAnswer: -108*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00078645 rounded to 5 dps?\nAnswer: 0.00079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + m**2. Let c be (-8)\/(-2)*4\/(-2). Let d(t) = t**3 + 8*t**2 + 10. Calculate the smallest common multiple of d(c) and q(2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*w - 4*m, -3*w - 2*w + 10 = -5*m. Suppose -w = 2*f, -q - 3*q + 913 = f. List the prime factors of q.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -41510888 + 8?\nAnswer: -41510880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 9 = -0. Let n be (l\/(-9))\/((-4)\/12) + 5. Let q(f) = -f**2 + 6*f + 8. Give q(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 - -45. Let z(a) = s + 3*a**2 - 5 - 12*a + 4*a - 5*a**2. Let g be z(-3). Solve 4*x - 6*q - 16 = -q, -x = 2*q - g for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -470167 - -470163. Let g = 2898\/3635 + 2\/727. Which is the second biggest value? (a) 1\/19 (b) x (c) 4 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**2 - d**2 + 0*d**2 - 19 + 17)*(2*d**2 - 4*d**2 - 5*d**2).\nAnswer: 28*d**4 + 14*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s + 7. Let m(u) = -325*u**2 - 10*u - 32. Calculate 2*m(p) + 10*o(p).\nAnswer: -650*p**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 290*y**2 - 3*y - 1. What is the remainder when g(1) is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 5*x**2 - x + 2. Let t be d(-4). Suppose 0 = -2*u - 3 + 21. Let k be 63 + (u\/3 - 0). What is the highest common factor of t and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19728 - 19419. Solve 20 = 4*w - 4*o, -5 = -w - x*o + 306*o for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/12)\/((-6)\/(-24)). Let h(w) = -8*w**2 - 1. Determine h(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a centimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -9*4*(-1)\/6. Let h = 334 - 332. Solve 3*x = -2*x - 4*g, 4*x + h*g - c = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85990.65 millilitres to litres.\nAnswer: 85.99065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = t - 8, 42*f = 79*f - 37*f + 91*t + 182 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125 divided by 4.\nAnswer: -125\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1995491*f**6 + 12731791*f**2.\nAnswer: -239458920*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in 1.5, -13, -4?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 13. Let i = g + -3. Is 8 a factor of ((-1)\/i)\/((-7)\/(-14))*89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30452 - -2?\nAnswer: -30450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f. Let t(s) = -37*s**2 - 17. Suppose -4*w + 3*d + 6 = -3, -d + 29 = 4*w. Let y(v) = -36*v**2 - 15. Let c(k) = w*t(k) - 7*y(k). Determine q(c(a)).\nAnswer: 60*a**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - x - 16 = 3*x, 3*w - 4*x + 48 = 0. Is ((-10)\/(-8))\/((-2)\/w) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22979843*k**5 - 10*k**4 - 1190788662*k.\nAnswer: 459596860*k**3 - 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18063 is divided by 176?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 - 5 + 6)*(8*y - 2*y - 5*y - 3)*(-9312 + 9312 - 32*y**3) in the form l*y + u + d*y**3 + i*y**2 + k*y**4 and give k.\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1271 and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*c + 15*c + 5*r = 5, c + 5 = 2*r for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12855336?\nAnswer: 2, 3, 13, 41203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 9*s + 10. Let z be h(8). Let q = 23 - z. What is the second derivative of -5*c + 2*c + 3*c - 3*c**q - 5*c wrt c?\nAnswer: -60*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 11, 21, 31?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5950 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -183\/2 - -94. Suppose -16*d - 30 = -26*d. Let a be d*4\/(-72) - (-5)\/10. Put w, -0.5, 1\/5, a in increasing order.\nAnswer: -0.5, 1\/5, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 5*y - 3. Let i be d(5). Let m(o) = o**2 + 5*o + 3. Let a(c) = 4*c**2 + 16*c + 10. Let h be ((-30)\/(-9))\/(2\/6). Calculate h*m(b) + i*a(b).\nAnswer: -2*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -z - 98, z + 0*z + 104 = 5*w. Let u = z - -85. What is the biggest value in 1, 4\/9, -1, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/4*26\/1209?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t. Let h = -14 - -1. Let l(m) = -m - 9. Let v be l(h). Let a(c) = c. Give v*f(p) + 7*a(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 483034185 divided by -53670465\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwtwtwwxwhhwhemewwt. Give prob of sequence wxhm.\nAnswer: 3\/10336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 492 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m - 9*m = -18*m + 11 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 17*o**2 + 33*o - 13. Let q(g) = -48*g**2 + 13*g - 6. Let m(w) = 178*w**2 - 53*w + 24. Let h(f) = 4*m(f) + 15*q(f). Give -13*h(i) - 6*l(i).\nAnswer: 2*i**2 + 23*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170904 = 23213*d - 6104*d - 417607 + 6805 for d.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of 1\/6*g**4 - 3\/2*g**3 + 26 - 2*g**2 + 1\/20*g**5 - 3*g. What is w(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/3 (b) 3 (c) -6.9 (d) -89\/2 (e) -99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/2 (b) 1\/10 (c) 2 (d) -173\/8 (e) -0.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 101110010 (base 2) to base 6\nAnswer: 1414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 + -33. Calculate the remainder when 26 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47412 + -28149. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 5147*v - 46373. Determine f(9).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1\/6, -7.817.\nAnswer: -7.817, 1\/6, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 63*-61.3\nAnswer: -3861.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqokuu. What is prob of sequence quqo?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -10115444?\nAnswer: -10115441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -45*q**3 + 13774809*q**2 + 18366472*q + 6122164 = 0. Calculate q.\nAnswer: -2\/3, 1530541\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -62 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 680 <= 718?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/10 + -2 + -489 + 490?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84711750 and 9750?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 41\/(11480\/(-112))*5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 149 + -59 + 1 + -57.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 15*y**2 - 16*y + 29. What is l(12)?\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -11329*w + 56651. What is q(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 576956 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/72*2\/5.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f + 301 = -23 + 71 - 260 for f.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in 9, 2\/3, -4, -1429, 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000512434621 rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -3267490?\nAnswer: -1\/3267490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, x: 3, q: 2, c: 1, r: 1, w: 3}. What is prob of sequence xrxh?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21112112010 - -2?\nAnswer: 21112112012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from njnpppjppjj. What is prob of sequence npjn?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2058 - 3728 = -16*k + 90*k + 3140 for k.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2817443 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-50)\/6)\/5)\/((-8)\/24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18920557.\nAnswer: 29, 41, 15913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (0 + -12 - (-56 + 49)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nc when two letters picked without replacement from {n: 1, c: 3, i: 5}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 1:36 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -654 + 3.03.\nAnswer: -650.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 52*d**2 + 7. Let b(p) = -17*p**2 - 2. Let x(s) = s**3 + 12*s**2 + 24*s + 136. Let m be x(-11). What is m*b(l) - 2*q(l)?\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223 = -2*x - 167. Let f = x - -237. List the prime factors of f.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 19) + (-7 - -5) + (-39 - 1 - -8)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 15*v**3 + 7*v**2 - 10*v + 6. Let x(t) = -t**3 - 9*t**2 - 15*t - 3. Let f be x(-7). What is the thousands digit of c(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -394 (c) 3\/13 (d) -4 (e) -0.2 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 221 * -1.0921.\nAnswer: -241.3541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -26 - 25ba5?\nAnswer: -25bcb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 52 + 353?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 588 is divided by 67?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 17\/15 (b) -1\/2 (c) 0.3 (d) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -11860*w**2 + 11862*w**2 + 299*w**3 - 3776*w**3 - 2956*w**3 in the form a*w**2 + o + r*w**3 + x*w and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/2 + 63207*l**2\/2 + 55165131*l\/2 + 12121028325\/2.\nAnswer: (l + 441)**2*(l + 62325)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -918*m - 37908 = -1620*m for m.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 175 and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-12))\/(79\/1422).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 divided by -5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63)\/84*23\/((-1035)\/18).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003878 to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 52613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58 - -54. Let w = 58 + -53. Suppose -4 = -4*s + 4*t, 3*s + 16 = -3*t - w. Sort 5, s, n.\nAnswer: n, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57670 is divided by 1101?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 468 and 2340.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33952964?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 3)*(-1 - 5 + 5)*(0 + 2*p + 0).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -785698, -785700, -785702, -785704, -785706?\nAnswer: -785708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124 = -28*n + 40 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 + 0)\/((-3)\/(-4)). Let i = 3555 - 3553. What is the greatest common divisor of i and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 5) to base 10.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1819 + 1853. What is the smallest value in -2, -1\/10, j, -1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 891, 1795, 2699, 3603, 4507?\nAnswer: 5411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, 17, -513, 2.\nAnswer: -513, -44, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17824 is divided by 8910.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = 2*d - 75. Suppose 9*y - 28 = 8*y. Calculate the remainder when d is divided by y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (2\/(-6))\/(37\/(-1110))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q - 2*q = -14. Which is the smallest value? (a) 2\/5 (b) 0 (c) 4 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/30)\/(((-312)\/(-80))\/(-13))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k**2 + 8*k**3 - 5*k**2 - 23*k + 29*k to s*k**3 + j + c*k + x*k**2 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 1:34 AM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.80962 - 0.19038. Put -7981, 0, k in descending order.\nAnswer: 0, k, -7981","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -878 - -868 - (2 + (3 - 5) + 12)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 1 - 1)*(-38*h**2 + 4*h**3 + 9*h**2 - 38*h**2).\nAnswer: -4*h**4 + 67*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (4 - (-106)\/4)\/5 and 75\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - k + 1. Let w = -14 - -16. Let q(d) = 4*d**2 - d + 4. Determine w*f(l) - q(l).\nAnswer: -2*l**2 - l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5895.5 + 5895. What is the second smallest value in d, -3\/4, -2, -0.2, 1\/3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t + 11. Suppose r = -3 - 3. Let w be m(r). Solve w*j - 25 = 0, -2*j + 22 = 2*f + 2*j for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21465*c**5 - c**3 - 103*c - 50.\nAnswer: -429300*c**3 - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 267\/296?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2158 divided by 1?\nAnswer: -2158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 0.2 (c) -0.3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 253665361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5)\/(30\/(-18)) + (-106)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -3*h**3 - 459. Let k(o) = -1 + 1 + o**2. What is k(u(w))?\nAnswer: 81*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*x + y + 2, -6 = 2*x + 2*y. Let j be (4\/(-10))\/((-1)\/5). Let h be 1\/(-2) - j - -2. What is the third smallest value in x, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/5 and -34\/57403.\nAnswer: 287015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 924.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*y = 35*y - 30. Let b be (-16)\/(-12)*y\/(-10) - -4. Solve b*c - 2 = 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z**3 + 39*z**2 + 26*z - 113. Give c(10).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -43*z + 2. Give q(-1).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6075*v**5 + 27683235*v**4 - 2460768*v**3 + 54684*v**2 = 0. Calculate v.\nAnswer: -4557, 0, 2\/45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 - 9 - (4 + -1). Let t be -1*5\/(o\/2). Solve 10 = 5*l + 5*c, t*c - 4*c = -l - 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 8*v - 9. Let d be w(9). Suppose 0 = -3*m - d*m + 54. Is 11643\/m - 4\/(-24) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**3 - 3*n**3 + 6*n**3 - 12*n**3.\nAnswer: -9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125091 is divided by 16988.\nAnswer: 6175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0 - (1 + -2)) + 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, 3, 41, 4, 5 in increasing order.\nAnswer: 3, 4, 5, 41, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-4) + (-54)\/4. Let z = y - -16. Let d = 1 + 3. Are d and z equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38\/(-31160)*-20)\/((20\/(-8))\/5)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5410 (base 7) to base 14\nAnswer: 9b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-19)\/(1881\/22))\/(((-50)\/(-15))\/(-2)). Factor 4\/15*m - h*m**2 + 0.\nAnswer: -2*m*(m - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1888+7509848\nAnswer: 7509847.8112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -4*d**2\/7 - 1168*d\/7 + 336 = 0.\nAnswer: -294, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2535267 - 3413451 - 1661630 = -254*z. Is 15 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12843a + -1?\nAnswer: -128440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 32, -322\/5, 0.4?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4426552348 to the power of 1\/2, to the nearest integer?\nAnswer: 66532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h**(-2\/35)*h))\/h)\/h)**15 assuming h is positive.\nAnswer: h**(-204\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - (-15 + 13))\/((-1)\/(-2)*4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o + 1. Let g be r(-3). Suppose 0 = -g*f + 5*f - 192. Suppose -17*u + 13*u + f = 0. What is the highest common divisor of 24 and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - (1468\/3 - (-7)\/(-21)). Let r = -426 - h. Does 5 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -87 - -94. Calculate the remainder when 26 is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 105 + 4?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h*m*t**2*v**3 + 8*h*m*t**2*v**2 + 53*h*m*v**3 + h*v - 2032*m*v**2 + 3752*v**3 wrt v?\nAnswer: -12*h*m*t**2 + 318*h*m + 22512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l + 3. Let t(a) = 4*a - 4. Let c(g) = -3*t(g) - 5*y(g). Let h = 4 + -12. List the prime factors of c(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4607395 and 3285?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0\/b)\/(b*b**(5\/2))*(b**1*b*b)\/(b*b**2) assuming b is positive.\nAnswer: b**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 148?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 6 - -6 - 3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express ((17 + 24 - 13)*(-2*t + 0*t + t) + 3*t + 6 - 6)*(4*t**2 - 2*t**2 - 3*t**2) in the form h*t**3 + y*t + p*t**2 + r and give h.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 12*s + 25. What is l(8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/(-910)*-13*4?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 3*r - 3. Let f be k(-2). Let w = -1 - f. Suppose -4*q + 4 = 0, 2*q = 5*l - w*q - 13. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -25*q + 154. Let c be x(6). Is (-16725)\/(-30) + 6\/c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 24 = 139*t - 136*t, -3*t = 4*v - 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20166011759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 679478?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r - 9*f - 15*f + 61 = -23*f, 3*r - 3*f + 99 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(2\/5)*2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -8*w**2 - 291*w - 13. Let q(h) = 2*h**2 + 96*h + 4. Determine 7*q(l) + 2*s(l).\nAnswer: -2*l**2 + 90*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2489806 and -2.3701098.\nAnswer: 2489803.6298902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54 - 272\/5. What is the nearest to 5\/7 in 4, o, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t**2 - t. Let f(g) = -g**3 - g. What is -a(h) + f(h)?\nAnswer: -h**3 + 4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 364 and 30?\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25217054 and 1732?\nAnswer: 866","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 10*j**2 - 25*j - 18. Let k be z(-12). Let t be 5 + 0\/(-1) + k + 2. Solve 2*h + t = h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -7876 less than -7883?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 9*y**2 + 5. Let x be (-7)\/((-70)\/92) + 10\/(-50). Let a be u(x). Solve -a*n + 20 = -9*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/3 in -5, 0.5, -1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 57*x**2 - 118*x + 34. Let j(g) = 4*g**3 - 6*g**2 + 7*g + 1. What is the remainder when j(4) is divided by a(-59)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w - 3*w + 2*w + 0*w - w + 0*w + (-1 + 0 + 2)*(-3*w - 3*w + 4*w) + 2*w + 2*w - w + 4*w + 0 + 0 + (1 + 0 - 2)*(-70 + 70 - 18*w) - 2*w + 3*w + w.\nAnswer: 22*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 36*a**2 - 3*a + 45. Let b(u) = u**2 + 4*u + 1. Calculate -b(m) - k(m).\nAnswer: -37*m**2 - m - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*r = -46*r - 34176. List the prime factors of r.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 288066953 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2509 - 2503. Solve o*k + 0*k + 18 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 110 and 170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 0*y - y)*(-2036*y**3 + 700*y**4 + 2036*y**3).\nAnswer: -700*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30*k**6 - 1220*k**5*v**3 - 29*k**2*v**3 + 38*k**2*v - 2*v**3 - v wrt k.\nAnswer: -3600*k**3 - 73200*k**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 d when two letters picked without replacement from ibbildbbdbdiidbi?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1930451, -7721774, -17373987, -30887096, -48261107, -69496026?\n\"Answer: -v**3 - 1930439*v**2 + v - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -487*q + 525*q + 342 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2600643 + 0.12\nAnswer: -2600642.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 55*r - 87*r + 30*r.\nAnswer: -2*r + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92816159.\nAnswer: 19, 641, 7621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -2, 1, -0.5, -87, -3.9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4434818, 4434819, 4434820, 4434821, 4434822, 4434823?\nAnswer: 4434824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.09 + -0.02. Let c = v + -0.69. Sort c, 0.3, -1\/3 in descending order.\nAnswer: 0.3, -1\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -167*c + 55. Let v(u) = 334*u - 137. Give 5*r(d) + 2*v(d).\nAnswer: -167*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 0.0533.\nAnswer: 5.0533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + sqrt(2057))**2*-6 + sqrt(2057)*2*-5 + sqrt(2057) + (sqrt(2057) + 1 + 1)**2 + -3.\nAnswer: -47406 - 1111*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 160046 divided by 3?\nAnswer: 160046\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 294905, 589811, 884719, 1179629, 1474541, 1769455, 2064371?\n\"Answer: a**2 + 294903*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -25, 0*n - 3*n + i = -125. Calculate the greatest common factor of 4 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of a**6\/360 - a**5\/30 + a**4\/12 - 3*a**2. Let w(u) be the second derivative of x(u). What are the prime factors of w(7)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 - 0.9. Let h = 1.4 + p. Let r = 0.9 - h. Which is the closest to -3\/2? (a) 0.2 (b) 4\/7 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3289 + 9350. Calculate the highest common factor of k and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2 + s - 7. Calculate the remainder when 144 is divided by a(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 7*v**2 + v + 10. Let y be z(-7). Suppose -y*s = 2 + 49. Let u = 1069\/63 + s. Which is smaller: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h - 2. Let g(o) = 7*o + 3. Let x(k) = 2*g(k) + 5*j(k). Let d(p) = -p**3 - 5*p**2 - 3*p + 4. Let u be d(-3). Determine x(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 31\/(2\/(2\/1) + 0). Suppose 5*f = h + 14. Calculate the smallest common multiple of f and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008371 to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 959445.9ng?\nAnswer: 0.0009594459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-875835423)\/(-1403) - 20\/610 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 8:58 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2. Let n(c) = 189*c + 6. Let h(m) = 750*m + 27. Let v(f) = -2*h(f) + 9*n(f). What is y(v(s))?\nAnswer: 40401*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.21 minus -5?\nAnswer: -21.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -56, -160, -258, -344, -412?\n\"Answer: x**3 - 3*x**2 - 102*x + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -101*u - 358?\nAnswer: -101","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 49*c - 73. Let u be s(12). Suppose 522*i = u*i + 140. Let z = -8 - -188. What is the highest common factor of z and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -159 - 155 - 3*f**2 - 2*f - f**3 + 327 as h*f + n + r*f**3 + s*f**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96\/20 + 14\/70?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g**5 - 22800*g**4 - 182945*g**3 + 1027980*g**2 - 822240*g = 0 for g.\nAnswer: -12, 0, 1, 3, 4568","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.32661 and 0.3.\nAnswer: 0.097983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of 3*f**5\/100 + f**4\/2 - 61*f**3\/10 - 21*f**2 + 480*f + 2. Factor i(w).\nAnswer: 3*(w - 5)*(w + 1)*(w + 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 118 and 146?\nAnswer: 8614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 80\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 567950344 divided by 6617\nAnswer: 85832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2003 + -1998. Solve 4*t - i = -5*k, -4*k = -t + 28 - 11 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1301430636 a multiple of 2252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/((-162)\/(-45))*(-4)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttc when three letters picked without replacement from {l: 1, r: 2, g: 1, t: 2, c: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of p**3\/3 + 4*p. Suppose 5*q - 4 = -14. Let j(r) be the third derivative of r**4\/12 - 3*r**2. What is q*j(l) + k(l)?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -4*q - l + 37, 39 = 4*q - l. Suppose -3*x + 8*x = q. Find the third derivative of -3*m**4 - 2*m**4 + 4*m**4 - 3*m**x + 2*m**4 wrt m.\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2264?\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, w: 1, m: 1, g: 5}. Give prob of picking 1 g and 2 u.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 546675, 545695, 544715, 543735, 542755, 541775?\n\"Answer: -980*d + 547655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 2) + 1 + -15. Which is the closest to 1? (a) -5 (b) 0.5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 n when three letters picked without replacement from {d: 1, n: 12, z: 4, x: 2}.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1265762.\nAnswer: 2, 632881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/5 - 72\/60. What is the smallest value in q, -2\/11, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3517482107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.1, -6\/7, 3, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 - -27. Suppose -o - s = -3*m + 4*o, 3*m + o = 51. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + m**2 - m + 1. Let r be p(1). Calculate the common denominator of ((r - 5)\/(-20))\/(18\/184) and -43\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/(-350)*(-15)\/(-18).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 31 = 3*i, -b + 3*i = -1236. Put 1, 3, b in increasing order.\nAnswer: 1, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 980\/30*(-2 - 1). Let x = a + 155. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yceq when four letters picked without replacement from {j: 1, p: 2, y: 1, q: 2, e: 1, c: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2541*f**5\/4 + 13409*f**4\/2 - 77865*f**3\/4 + 9454*f**2 - 1665*f + 100 = 0.\nAnswer: 2\/11, 4\/21, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23076771 to the nearest integer?\nAnswer: 4804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.63 + -3.13. Which is the second smallest value? (a) -1.4 (b) u (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.06 from -2693.43.\nAnswer: -2693.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -266174 divided by 6\nAnswer: -133087\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 132383.19 months?\nAnswer: 11031.9325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**2 + 3*q - 2. Determine t(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 123 - 367\/3. Which is the nearest to -2? (a) i (b) 5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-71))\/(12036\/(-28)). Let b = -766322603\/14954730 - i. Let z = b + 258\/5. What is the common denominator of -23\/10 and z?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -48896\/15 + 3261. Let y = -8\/5 + b. What is the closest to -2\/7 in y, -2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4505011.9 rounded to the nearest one hundred thousand?\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j. Let u(n) = -2*n + 4. Let h(k) = 1. Let f(v) = 4*h(v) - u(v). Give l(f(t)).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70799306?\nAnswer: 2, 677, 52289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 186 and 606453.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+-46.0703\nAnswer: -45.9703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -49 + 92. Let m = d + -257\/6. Let -1\/6 + 1\/6*u + 1\/6*u**2 - m*u**3 = 0. Calculate u.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13900.\nAnswer: 2, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 9, 3, -0.833?\nAnswer: -0.833","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - 2\/(0 + -2). Solve 0 = 2*b + 5*q - 33, 3*q - 46 = -n*b - 15 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -188 + 207. What is the remainder when 244 is divided by j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 - (-55)\/5 - 3. Suppose 5*a = u + 2*u + 306, 248 = 4*a - q*u. List the prime factors of a.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 49*j + 10*j + 103*j + 84*j + 5658 for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-140)\/245*3\/12*-5?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -200 (base 6) to base 2\nAnswer: -1001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of m**4\/4 - 5*m**3\/6 - 2*m**2 - 13*m. Is g(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 27352*g + 27348*g = 32, 3*j = 7*g - 64 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-51472)\/7)\/(-1) - 62*(-4)\/(-1736) and 30.\nAnswer: 73530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*u - 1251 = -179 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(2\/(-24))\/(1\/(-4)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31.03025 - -0.03025. Suppose -2*u + m = -7, -6*m + 16 = 3*u - 2*m. Which is the third biggest value? (a) u (b) 5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52716 is divided by 46.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2 + 108*p + 1142. Let r be t(-40). Solve 0 = -27*h - 167 - r for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -r**4\/12 + r**3 - 4*r**2. Let a be b(3). Put a, -41, 5, 2 in ascending order.\nAnswer: -41, a, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - 0. Let b = 3 - 1. Put 3, b, k in ascending order.\nAnswer: k, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 4)*(b + 2*b - b)*(5 - 1 - 3).\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2106 + 1.2106. Which is the second biggest value? (a) 0.042 (b) 0 (c) g (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 10) to base 9.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33364, 66737, 100110, 133483?\nAnswer: 166856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k - i + 10, 6*i = 12*k + 6*i + i + i + 52 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 111, 166, 165, 78, -125?\nAnswer: -474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6694581, 13389166, 20083751, 26778336, 33472921, 40167506?\n\"Answer: 6694585*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -n + 34 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11340 + 43099. List the prime factors of p.\nAnswer: 7, 13, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 91 + -54. Calculate the remainder when l is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-10)*-1 - (-15984)\/720. Find the common denominator of 95\/18 and (11\/x)\/(25\/(-335)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3097520440 to the nearest integer?\nAnswer: 55655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + -19. Let i = 65 + q. Let k = i + -27.948. Round k to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22120 - 12?\nAnswer: 22101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/(-4)*32\/(-112)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9935 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-8)\/h)**(-20) assuming h is positive.\nAnswer: h**180","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4560*g + 40. Let t(k) = 7*k - 1. What is l(i) + 40*t(i)?\nAnswer: 4840*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18120 - 32353 - 2*q**2 + 14233.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42937?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, 0.1, -1204, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 48 + -48.62. Let r = n + 1.52. Let z = 0.1 + r. Which is the nearest to -0.08? (a) 0 (b) -5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = v + 4*d - 29650, 0 = 3*v - 2*d - 88978. List the prime factors of v.\nAnswer: 2, 3, 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -213027655 and -1.\nAnswer: -213027656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-332)\/(-12) + (-1)\/(-3). Suppose -4*q + 3*i + s = 0, 6*q - q - 5*i = 40. Suppose -2*h**q + 23*h - 29*h - 34*h - 36*h**2 - 16 - 14*h**3 = 0. What is h?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 - 2\/3*q**3 - 10\/3*q + 0.\nAnswer: -2*q*(q + 1)*(q + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of -2*f**3\/27 - 7. Factor k(b).\nAnswer: -2*b**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -73*p**4\/24 - 13*p**3\/6 - 10*p**2. Is o(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -240 + 246. Calculate the remainder when 115 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*g + 24 = 0, 3*g + g = -3*w + 10. Suppose -4*u + 10 = -0*l - 2*l, 2*l - 14 = -4*u. What are the prime factors of ((-104)\/w + l)*1\/1?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*r = 35. Let p(b) be the second derivative of -b**3\/6 + 7*b**2\/2 - 2*b. Does 7 divide p(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121067547?\nAnswer: 3, 29, 41, 33941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21506262*l**2 - 22*l + 198803 wrt l?\nAnswer: 43012524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 8*t**2 - 7*t - 4. Suppose -3*s - 9 = -3*n, 3*n - 4*s + 2 = n. Let r be k(n). Calculate the remainder when 2036\/28 - r\/14 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d = -38*d + 1597 - 1039 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 21 (b) 687\/19 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d + 1. Let p be r(-1). Let u = 4 + p. Suppose s - 8 = 10. Calculate the lowest common multiple of s and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -179.1163778 + 179.12. What is z rounded to four decimal places?\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2088021*d + 663832 wrt d?\nAnswer: 2088021","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 75.90036m?\nAnswer: 75900360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}