diff --git "a/data/dm_maths/full_data/2632_11255.jsonl" "b/data/dm_maths/full_data/2632_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/2632_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 83 = -4*q + 779. Does 58 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000 (base 3) to base 15\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 97030 (b) -3\/5 (c) 9 (d) -4 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - -19. Suppose 4*f + 2 = c. Let o(z) = 6*z**2 + 6*z + 5. Let s(k) = -7*k**2 - 7*k - 6. Determine f*o(u) + 5*s(u).\nAnswer: u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/4032 and 137\/91728.\nAnswer: 366912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + -55. Let b = 65 + t. Put b, 4, 2, 0 in descending order.\nAnswer: 4, 2, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-10))\/((5\/(-10))\/(1460\/148336))?\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 120666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/52 + 49\/156. Solve -v*c**2 + c + 2\/3*c**4 - 1\/3 - c**3 = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 24 = -6*p - 3*s, 2*p = s + 28. List the prime factors of 3\/p + 7711\/4.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.437 + -6.163. Let s = i - -6.6. Let w = -10\/9 + 16\/9. Which is the nearest to s? (a) -3\/5 (b) -7 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1120145 (base 6) to base 7\nAnswer: -325304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 13) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -50\/9 in -0.35, 1\/10, 0.2, -85?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.026 + -0.012. Let h = -5.014 + s. Let p = 8\/7 - 25\/28. Which is the nearest to p? (a) -0.5 (b) h (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**25\/(t**16*t*t))**(-2\/131) assuming t is positive.\nAnswer: t**(-14\/131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/4)\/((-2)\/(-4)). Suppose 0 = h + 4*g - 19, 0 = h - 3*g + s*g - 7. Solve -z - h = -0*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**2. Let t(x) be the second derivative of 0 + 0*x**2 + 13*x + 11\/6*x**3. Calculate t(i(y)).\nAnswer: -22*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*w = -0*w + 42210. Calculate the remainder when w is divided by 202.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 2) + 6932*3\/(-18). Let r = 38117\/33 + j. Let c = -911\/275 - r. Which is greater: c or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by 179.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4542 is divided by 136?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at least as big as 1430?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o + 6. Let z be ((36\/14)\/1)\/(12\/84). Let l = -11 + z. Give c(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 34 - (16 + -28)) + (1 - 1)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1871 - 70.1871. What is the second smallest value in t, 5, 0.4, -3, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 - -71 - (-2 - -47)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 1\/447, -6\/1223 in decreasing order.\nAnswer: 1\/447, -6\/1223, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 34207445068.6 and 0.6.\nAnswer: 34207445069.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*0\/(-2 - 1). Suppose 2*u - 5 = -r, -2*u - 3*r + 0*r - 1 = y. Let w(z) = 2*z**2 + 3*z + 4. What is the remainder when w(-3) is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-49*z + 81*z**2 + 49*z)*(-3 + 4 + 0) + 2*z + z**2 - 2*z in the form c + i*z**2 + n*z and give i.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/((-425)\/204) + -17.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhnthnhntnnnt. Give prob of sequence tn.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 1547?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r - 4*r**2 + 2*r + (4*r**2 - 3*r**2 - 4*r**2)*(-3 + 2 + 0).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.878603 centuries in decades?\nAnswer: 58.78603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.037 - -36.037. Which is the nearest to 0? (a) 3 (b) -3\/5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 238132 divided by -2\nAnswer: -119066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59 + -43. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 4*x + 5. Let m be k(-4). Let g be (-4)\/10*m\/4. Let q = 0.3 - 0.1. Sort q, 3, g in descending order.\nAnswer: 3, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (1 - -21 - -16) + 25.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 563 = 531?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 159818?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -25488, -25490, -25492?\n\"Answer: -2*z - 25486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4*v**2 - 3*v + 12*v + v**3 + 0*v**2 - 4*v**2 - 6. List the prime factors of i(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 212 + 122. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 v when two letters picked without replacement from {p: 4, q: 2, t: 3, v: 2, d: 1}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (32\/(-456))\/(2\/3). What is the third biggest value in -0.4, -11, x?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2229*k - 32065. Give i(-15).\nAnswer: 1370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 20*o + 1)*(2 - 10 - 5 + 3).\nAnswer: 200*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -104*a + 7 - 22 + 105*a. Let p be j(10). Suppose -4*l - 165 = 29*l. Is l at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a microgram in nanograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 + 294*c - 1192.\nAnswer: (c - 4)*(c + 298)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1.31 times 1358\nAnswer: 1778.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 65630392?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 8:42 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -20 (b) -5 (c) -9.6 (d) -0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 217 + -205. Calculate the remainder when 46 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -64176660.8 + 64177022.80000048. Let l = 362 - b. Round l to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**2 + j**2 - j**2 + 2 - 2 - 2*j**2 + (-3*j + j + 3*j)*(0*j - 3*j + 4*j) + 0*j + 0*j + j**2 to the form q + k*j**2 + t*j and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**4 + 206*c**3 + 241*c**2 + 40*c.\nAnswer: c*(c + 1)*(c + 40)*(5*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 400*l + 13485. Calculate x(-39).\nAnswer: -2115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 8 - 3*r)*(-1 - r**3 - 4*r**3 + 0*r**3).\nAnswer: 15*r**4 - 5*r**3 + 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 8. Suppose 0*m = 5*m - 5. Suppose 50 + 65 = 6*l + 109. Solve -p*q + l + m = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 84513 + -10715. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 212 - 6150\/29. Let z = f - -33\/58. Factor 1\/2*i**2 - z*i + 0.\nAnswer: i*(i - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000775346 rounded to six dps?\nAnswer: -0.000775","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/159299 (b) 0.2 (c) 0.3 (d) 0.5 (e) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2386 and 1177491?\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41544925 to the nearest integer?\nAnswer: 6446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 33 - 26*b**2 - 6*b**3 + 2*b**4 + 48 + 48*b**2 - 24*b**2 + 15*b**3 in the form f + u*b + n*b**4 + w*b**2 + k*b**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 5:08 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 5*d - 4*d)*(-1 + 1 + 3)*(-3 + 0 + 2)*(-14 + 24 + 110*d - 12).\nAnswer: -660*d**2 + 12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 - 10*a - 11. What is u(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j - j - j**2 + 0*j**2 + 8*j**3 + (5*j - 2*j + 10*j)*(-3*j**2 - j + j) - 2*j**3 - 3*j**3 + 4*j**3 in the form b*j**3 + o + f*j + a*j**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**3 - 5*z**2 - 3*z - 2. Suppose -11 + 6 = p + 2*u, 4*u = -4. Determine f(p).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 752 = -d, -50*d + 232 = -k - 55*d. Sort -2, k, 1.\nAnswer: k, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 704 = -3*l + 20797, 35829 = 5*f - l. Is f a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*q**2 + 3*q**2 + 3*q**2 + 5*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28*6\/48)\/((-9)\/((-1944)\/(-27)))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 57?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 41520026.1 to the nearest one thousand.\nAnswer: 41520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 45717478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-24 + -4 + 27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 307*q - 90965 = -104473 for q.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2418 and 61607.\nAnswer: -148965726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 13 + 5 + -4 + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -333, -743, -1427, -2385, -3617?\nAnswer: -5123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 5:46 AM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 529 divide 367673587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 167630 minus -678044?\nAnswer: 845674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 2\/7, -7\/16 in descending order.\nAnswer: 2\/7, -2\/9, -7\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q + 15. Let f be b(8). Suppose 3*n - f*n + 20 = 0. Suppose -80 = i - n*i. What is the highest common divisor of i and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -78*t**2 - 347*t + 74675.\nAnswer: -156*t - 347","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -630145\/6 less than -105024?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 3 = 2*q. Let a(p) = -2 - 4*p + 9*p + 5 - q. Let f(b) = 36*b + 15. Give 15*a(y) - 2*f(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 6 = -r - p, -2*r + 5*p = 10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3\/8, -9, 3\/4, -30, -1\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33\/115 + -461\/805. Which is the closest to 0? (a) 0.04 (b) h (c) -2\/5 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**4 + 3*r**4 - 5*r**4)*(2 + 0 - 3)*(5 - 5 + 4).\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.31 + -0.11. Let i = u + -1. Let t = 209\/4 + -53. Which is the third smallest value? (a) i (b) -0.1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 92 + -80. Let j(d) = h*d + 8*d - 4*d. Let i(a) be the first derivative of 2*a**3\/3 + 2. Determine j(i(c)).\nAnswer: 32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 36083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 355 + 337. Let t be (-4)\/18 + b\/36. What is the greatest common divisor of t and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 133758934*g**3 + 307*g**2 + 111891*g?\nAnswer: 802553604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 k when three letters picked without replacement from {f: 1, k: 5, e: 1, v: 2}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*d*r**3*z - 25*d*z - 4*d + 9*r**3*z with respect to r.\nAnswer: 15*d*r**2*z + 27*r**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1.268*-3\nAnswer: 3.804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6492.2148*2\nAnswer: 12984.4296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -41*b - 3. Let d be m(1). Let y = -42 - d. Solve 2 = y*l - 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 367423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 20172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z**4 - 184*z**3 + 380*z**2 - 192*z = 0.\nAnswer: -48, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 405918, 811818, 1217718, 1623618, 2029518?\nAnswer: 2435418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/5 - 58*x**2\/5 - 113*x\/5 - 56\/5.\nAnswer: -(x + 1)**2*(x + 56)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5203625 bigger than 5203625?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 130 and 4262?\nAnswer: 277030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8107 is divided by 87.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 5*r - 7. Let p be v(-6). Let s be (4\/p)\/((-1)\/1). Factor -3*o**3 + 3*o**2 - 3*o**4 - 4*o + 3*o**5 + 0*o**4 + s*o.\nAnswer: 3*o**2*(o - 1)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 1:04 AM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -16, -41, -98, -199, -356, -581?\nAnswer: -886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82783*42.\nAnswer: 3476886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 69, 77, 91, 111, 137, 169, 207?\n\"Answer: 3*o**2 - o + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19313 + 19736. Solve 419*s - u*s = -12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**2. Let c(f) = -52917111*f. Give r(c(z)).\nAnswer: 5600441273172642*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o + 25. Let f be h(0). Suppose -q - f = 2*g + 3*g, 9 = 4*g - 5*q. Let r be 1\/(((-10)\/g)\/(-1)). Which is bigger: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587.7225 nanoseconds in seconds?\nAnswer: 0.0000005877225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 530580, 1061160, 1591740, 2122320, 2652900?\nAnswer: 3183480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-6)\/(-36)*879 - (-4)\/(-8) is divided by 62?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 25, 68, 141, 250, 401?\nAnswer: 600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((22 - -12) + -24)*48\/(-100)*3.\nAnswer: -72\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.7 and -3372.\nAnswer: -22592.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(336)*5)\/(sqrt(7) - (sqrt(7) + -3*-2*sqrt(7))) + -4.\nAnswer: -10*sqrt(3)\/3 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3459*h + 20565. Give d(-6).\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.01 - 2.01. Let i = n + 2.05. Suppose -44*f = 37*f + 14*f. Which is the third smallest value? (a) 5 (b) f (c) -3 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l + l**2 - 1 - 7*l**2 - l**3 - 1. Let y be h(-6). Which is smaller: 5 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -3399 and 381 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/3)\/((1\/4)\/(7\/84))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1201211232 (base 4) in base 13?\nAnswer: 10cc32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -156761 (base 9) in base 10?\nAnswer: -96850","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n + 2*r - 2, 3188*r - 3191*r - 77 = -13*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 13*f**4\/4 - f**3\/3 + 3*f**2\/2 + 4*f - 5. Is d(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 100420?\nAnswer: 100424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -165015 + 6466?\nAnswer: -156327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5*q + 688 = 0, 5*r - 793 - 343 = 3*q. What is the remainder when r is divided by 120?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 4.19 (b) -2 (c) -17 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gess when four letters picked without replacement from eeskevvgeesshvghesev?\nAnswer: 7\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -8*b**2 + 17*b + 130. Let z be j(6). Which is bigger: -73 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - b**4 + 1 + (-18*b + 18*b + 19*b**2)*(-2*b**2 + 0*b + 0*b)*(-3 + 2 + 0) to d + a*b**4 + n*b + p*b**2 + t*b**3 and give a.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 6*b**2 - 222*b - 83. Calculate k(36).\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 4*a = 2*s - 44, 2*a - 20 = -2*s. What is the least common multiple of s and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.5795 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1008)*-3*-6.\nAnswer: 216*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 18. Let f be ((-28)\/6)\/(6\/y). Suppose 5*i - f*i + 654 = 2*x, 0 = -i - 4*x + 318. Round i to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2458*o**2 + 1370*o**2 - 1782*o**2 + 10167*o**2 - 7*o**3 + 6*o**3.\nAnswer: -o**3 + 12213*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 11:15 AM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3 - 17 - 27*x**3 + 8*x**3 wrt x.\nAnswer: -57*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 19*s**2 + 13*s + 19. Let k(r) = -r**2 + 1. Let d(o) = -f(o) - 4*k(o). Let u = -19 - -35. What are the prime factors of d(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708.6167km in meters?\nAnswer: 708616.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 897.1977mm in nanometers?\nAnswer: 897197700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5229\/(-1071) + (-2)\/17?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 836792900 and 4945?\nAnswer: 4945","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 2\/9 (c) -209\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/8 + (-163)\/(-2). What is the greatest common factor of s and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.7 - 5. Let p = h + -1.69999988. Round p to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 854*f**2 - 9466*f + 757. What is t(11)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by (-44)\/(11968\/(-11730)) - (-3)\/(-24)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19205 - -19.\nAnswer: -19186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*n - 4*n + 3*n)*(-2*n - 3*n + 0*n) as q*n**2 + j*n + r and give q.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 291*d - 176876255 = 2728467745. Round d to the nearest one hundred thousand.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -194229808, -194229804, -194229802, -194229802, -194229804, -194229808?\nAnswer: -194229814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3a9c1b (base 13) to base 11\nAnswer: 890944","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 7479760.7 to the nearest ten thousand.\nAnswer: 7480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 24159 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - -2 - (16 - 39 - -24)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0 (b) 1.08 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 - 66. Let c be (-455)\/10*(-3 - y). Let s = c - -100. Solve 0 = 3*q + 3*t - s, 3*q + t + 0 = 3 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + (-2 + 1 - -2). Let p be 0 - (1 - (x - -1)). Let k = p - -2. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fn when two letters picked without replacement from fwwvvwwfvnwvvmww.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 11 times 41.320097\nAnswer: 454.521067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/2 and 13\/4983.\nAnswer: 9966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 5*m + 116, 5*m = -3*k + 239 + 89. What are the prime factors of k?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40 + 37. Is (d\/(-18) - 0) + (-40775)\/(-42) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of v**6\/36 + 3*v**5\/20 + 17*v**4\/72 - v**2\/3 + 30*v. Factor i(y).\nAnswer: (y + 1)**2*(y + 2)*(5*y - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -173 + 58. Let d = a - -117. Solve 5*f + 6 = d*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*n**4 - 1117*n**2 - 2 + 1115*n**2 + 6*n**4 + 3*n**3 in the form f + a*n**2 + x*n + z*n**4 + y*n**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*b + 21 = 0. Solve -z = 5*j - 11, -b - 12 = 4*z - j for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 866709 and 423361?\nAnswer: 1817","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + -1)\/((-2)\/5). Let g be (189\/(-7))\/(6\/(-4)). Let q = g + o. Does 10 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 7*u + 2. Let f be s(-7). Let m be (80\/(-50))\/(f\/20). Let v = 11 - m. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 389 - 387.21. Let v = j + 0.21. Which is smaller: v or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*c - 19. Let k = 3 + -1. Suppose -a - 9 = -n + k*a, -4*n - 2*a = -c. Solve w = 5*s + n - 18, -36 = -4*s - 4*w for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 254.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1159.56009 rounded to the nearest integer?\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11210 = -64*z + 12214. What is the remainder when z is divided by 73?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (246\/27 - 8)*3\/20\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 320037 is divided by 160014?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 389*o + 8332. Let h be l(14). Calculate the highest common divisor of 166 and h.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 460*p - 9146. Calculate x(20).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242 - 1621 = -103*c - 318 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.1, -3, 0.02, -44.8, 3, 1, 11?\nAnswer: -44.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55 + -164\/3. Find the common denominator of g and -67\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - l**2 - 5*l + 3*l + (0*l**2 + 0*l**2 - 2*l**2)*(6 - 2 - 2))*(-10*l**2 + 17*l**2 + 2*l**2).\nAnswer: -45*l**4 + 9*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.9 - 0.1. Let t(w) = w**2 - 3*w. Let u be t(3). Let x = u - -1. Which is smaller: x or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4105\/4 - 1026. Which is the third smallest value? (a) d (b) 957 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -5*p + 740, -5*m = 6*p - 2*p + 758. Does -149 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 40\/30 - 3\/((-9)\/302). Suppose y*i - 105*i = 184800. What is i rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*i + 1684 - 1684)*(0 - 2 + 1) to l + z*i and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 39 = 5*d - 7, -d = s - 2. Suppose l + 60 = -s*v + 3*v, 5*l = 2*v - 300. Let o = 77 + l. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -99 (b) -1\/9 (c) 6\/11 (d) -1\/8 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/10 - (-381000003)\/(-15). Round p to the nearest one million.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 628\/11 + -57. Let f = -7 - -4. Let g be ((-2)\/f)\/((-2)\/(-15)). Sort h, 3, g in descending order.\nAnswer: g, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5230 (base 9) to base 11\nAnswer: 2976","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-20)\/108)\/((-780)\/(-12168)))\/(-3*4\/(-126))?\nAnswer: -91\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 2*q + 5. Let y(w) = -3*w**2 + 3*w - 11. Let f(h) = -5*x(h) - 2*y(h). Let s be f(-4). Which is the smallest value? (a) 4\/5 (b) s (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5328)\/(-2220))\/(-10*6\/(-105)*(-7)\/75)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-20)*-1)\/((-1617)\/735).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, j: 4, e: 2, n: 6, x: 1}. Give prob of picking 2 n and 1 e.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 23\nAnswer: -11.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 - (-3)\/(12\/328). Let b = i - 71. Which is greater: b or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 4*j - 751, 7*v - 1243 = 2*v + 2*j. Suppose 2*a = -5*c + v, 4*a + 0*a - 90 = -2*c. Let s = 99 - c. Is s a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*n - 69 - 111 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u**2 - 11*u - 36. Let j be a(6). Let n(h) = -h**2 + 7*h - 18. Give n(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16.1 + 18. Let x = 0.1 + b. Let s be ((-2)\/6)\/((-1)\/2). What is the closest to s in -2\/15, x, 4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 3 = -2*c. Let r be 20\/c*(-24)\/16. Sort -5, 4, r in ascending order.\nAnswer: -5, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -191759 - -3258944\/17. Let l = s + 3811\/68. Let k = 5243\/204 + l. What is the common denominator of -29\/7 and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*l + 680*l = -23519 for l.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a microgram in nanograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b = 307 - 247 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + 349173.235?\nAnswer: 349173.335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 + l**3 - 2*l**2 - 3 + l**2 + (2*l - l + 0*l)*(7*l**2 + 3*l**2 - 2*l**2) + 13*l**3 - 2*l + 2*l.\nAnswer: 22*l**3 - l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4\/3 of a minute?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 9*i. Let m(t) = -t**2 - 10*t. Let q(o) = 3*c(o) - 2*m(o). Factor q(g).\nAnswer: -g*(g + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51 - 41. What is the units digit of 462\/4 + f\/4 + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**3 + 12*v**2 - 4*v - 9. Let d be i(-6). Let q(r) = -2 + 2 + 9*r - d*r. Let p(f) = 4*f**2. What is q(p(t))?\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of u**9\/453600 - u**8\/75600 + u**7\/37800 + u**5\/60 - 2*u**2. Let z(p) be the third derivative of n(p). Factor z(c).\nAnswer: 2*c*(c - 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79512 is divided by 25.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 50\/(1 + 2 + -2). Let a be g\/(-15)*(-220 - -1). What is a rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.336 - 592136011.\nAnswer: -592136011.336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 - -34. Let f = 8 - a. Is f >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 127549, 1020478, 3444161, 8163976, 15945301, 27553514, 43753993, 65312116?\n\"Answer: 127563*b**3 - b**2 - 9*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 216796108 to the nearest integer?\nAnswer: 14724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (2691\/(-3726))\/((-91)\/28)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39347246 divided by 773?\nAnswer: 50902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-1)*(-1)\/(-2). Let l(q) be the first derivative of 3*q**4\/4 - 2*q**3\/3 - q**2\/2 - 4. Calculate l(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16546 - -16543. Let u = 0.3 - 0.1. Which is the fourth smallest value? (a) -0.3 (b) u (c) 0.4 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 5*j + 2*s - 62, -3*s + 3 = 0. Let w = 47 + -44. Solve -5*x = 3*f + 28, w*f = 3*x - 0*x + j for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (7 + -27 - -14).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 7*w = -6*m + 35, -4*w - 20 = -m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -84519*w - 1385 wrt w.\nAnswer: -84519","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111000 + 100110?\nAnswer: -1010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 12. Suppose -3*l - 180 = l. What is the units digit of (8\/(-12))\/(r\/l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 + 37 = -5*j. Let d = j + 21. Suppose 2*p + d = 28. What is the remainder when 18 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/7 - 32352*n**2\/7 + 97074*n\/7.\nAnswer: -2*n*(n - 3)*(n + 16179)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v + 2*v**3 - v**3 - v**3 - 2*v**3 + 13 to i*v**2 + s + f*v + w*v**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 63\/202 or 1?\nAnswer: 63\/202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 117 - 235 + 4*g**3 + 2*g**2 - 1406*g + 294*g - 6*g**3 + 119 to the form j*g + x + t*g**2 + q*g**3 and give j.\nAnswer: -1112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times 2.9249\nAnswer: -0.116996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.751062g to kilograms.\nAnswer: 0.008751062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wxwkxwkxwwwwkxkx. Give prob of sequence ww.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 97.\nAnswer: -7\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4*v - 1 + 0*v + 3*v + 38*v**3. Let b be c(-1). Let f be b\/(-84) + 3\/(-18). Which is bigger: -1\/3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - -20.9. Put 4\/5, t, -2\/3 in descending order.\nAnswer: t, 4\/5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -m**10\/378000 - m**9\/151200 - m**5\/30 + 4*m**2. Let l(o) be the third derivative of v(o). What is f in l(f) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -165.96594 + -0.03406. Let g = -0.9 - -4.9. Sort g, -2\/19, -5, u.\nAnswer: u, -5, -2\/19, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 5 (c) -28.81 (d) 0.106\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 9:18 AM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (71*p + 979 - 979)*(2 + 2 + 1).\nAnswer: 355*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17 - 15\/2*k - 1\/2*k**2.\nAnswer: -(k - 2)*(k + 17)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from effffffeeffefffeff. Give prob of picking 2 e and 1 f.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 26.85052 weeks?\nAnswer: 187.95364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 9:48 AM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1306 + -1308. Let d = 0.36 + 0.04. Let j = d - 0.3. Sort h, -0.5, j in ascending order.\nAnswer: h, -0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35*58\/(-1218))\/((-15)\/(-558)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/13 (b) -8 (c) 1\/2 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qu when two letters picked without replacement from {u: 1, q: 1, s: 1, k: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a meter in centimeters?\nAnswer: 1040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by -2467.\nAnswer: 13\/2467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41330849*0.05.\nAnswer: 2066542.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 0*x**2 - 5*x + x**2 - 3*x + 3*x + 6. Let r be a(4). Is r at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 179.92 - 180. Put 0.5, u, -1\/4 in increasing order.\nAnswer: -1\/4, u, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t - 5*t + 0*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h. Let d(v) = -17*v + 140. Let p(i) = -2*b(i) + d(i). Calculate the remainder when 29 is divided by p(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8493.99 - -8534. Let k = 0.67 + 39.33. Let g = a - k. What is g rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 11:26 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) -3462 (c) 0.21 (d) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.06119 + -1.66119. Which is the closest to 1\/3? (a) -1 (b) -0.2 (c) g (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004107327 to 6 decimal places.\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1476\/(-246))\/(48\/16).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = -2*r + 5*d - d, -5*r - 4*d + 708 = 0. Factor 36*l**3 + 240*l + 244*l**4 - 144*l**2 + 244*l**4 - 491*l**4 - r.\nAnswer: -3*(l - 6)*(l - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 greater than or equal to -145\/517?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 + 22. Let i(k) = 5*k**4 - 14*k**3 - 3*k**2. Let m(y) = -3*y**4 + 9*y**3 + 2*y**2. Let f(o) = u*i(o) + 8*m(o). Determine b so that f(b) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14979965 * 0.3.\nAnswer: 4493989.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1809\/(-63) - -30 - (0 + 1). What is the second smallest value in -161\/3, t, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 - -20. Let k be (-209)\/44*(z + 52). Let i = 510 + k. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g + 2. Let t be o(-5). What is the smallest value in -5, t, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3356\/46923?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5768.\nAnswer: 2, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a kilometer in meters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 4\/7 of a week?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**2 - 6*d + 24. Let h be k(-5). Let c(u) = 229*u**2 + 16*u - 85. Is c(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 136032+1.7727\nAnswer: 136033.7727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3425 - -3430. Let i(b) be the second derivative of -9\/20*b**t - 2*b + 0*b**4 + 0*b**3 + 3*b**2 + 0. Differentiate i(g) with respect to g.\nAnswer: -27*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*(-6)\/(-27)*3. Let k = d - 4. Let j be (1 - k)*(-3 - -4). Solve j*y + 15 + 0 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c**3 - 9*c**2 - 4*c + 5. Suppose -16 = -6*s + 20. Is t(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 9*k - 3 + (-2 + 2 - 2)*(-2*k + 5*k - 2*k))*(-30*k**3 + 45*k**3 + 66*k**3).\nAnswer: -891*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -3*x**4\/4 + 35*x**2 + 5006*x. Let n(k) = -6*k**2. Calculate n(b(o)).\nAnswer: -486*o**4 + 7560*o**2 - 29400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00033366085 rounded to five dps?\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -3*w - 12, -3*r + 4*w - 3*w = -14. Find the third derivative of 26*q**2 + 16*q**r - 63*q**4 + 63*q**4 wrt q.\nAnswer: 960*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 3*n**3 + 3*n**2\/2 + 7*n + 13. Let o = 50 - 34. Let c = o - 9. Let t(z) = -4*z**2 - z - 3. What is c*t(y) + 3*k(y)?\nAnswer: -y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*o - 8*o - 23. Sort o, -2.9, 1\/2, -3\/7 in increasing order.\nAnswer: -2.9, -3\/7, 1\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 8\/175, 31615 in increasing order.\nAnswer: 8\/175, 5, 31615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, z: 1, p: 1, q: 2}. What is prob of picking 1 z and 2 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1372\/(-343)*(-1)\/(-28).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -76 - (42 + -133 + 49) - 3\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -25*p - 354. Let r be n(-20). Put -5, 5, r in decreasing order.\nAnswer: r, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/9*(-18)\/15\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 20*s**2 - s + 2. Let t be b(-17). Suppose -m = -2*w + 5*w - 443, 2*m + 3*w - t = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d. Suppose -q - 3 = -4. Let n(v) = -10*v - 1. Let r(a) = q*n(a) + 6*m(a). Let x be r(-1). Solve 0 = 2*g + 4*u - 18, 0*g - u = x*g - 7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27465 divided by -5493?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 54, 121, 246, 447?\nAnswer: 742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 89 - 43. Suppose 5*r - 2*x - 277 = -4*x, -5*r - x = -281. Suppose 0 = 2*n - n - 3, 3*q = -3*n + r. What is the remainder when l is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((1*sqrt(190)*1 - sqrt(190)) + (sqrt(190) - -2*(sqrt(190) - 1*sqrt(190))))\/((-4*sqrt(120)*-1)\/sqrt(12)).\nAnswer: 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4131538910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -61886130327.\nAnswer: -61886130327.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 6*b = -1695. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*v + 2 = 0, 4*v + 1 - 13 = 4*p. Let m = -7 + 16. What is the remainder when 15 - p*3\/6 is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -105, -129, -167, -219, -285, -365?\n\"Answer: -7*f**2 - 3*f - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 3)*(-2)\/14. Let m = 0 - -1. What is the nearest to 2\/9 in 0.4, m, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277937 is divided by 9926.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7774585400 + 7774585400 - 9*w.\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100100011110110010110 - 10?\nAnswer: 100100100011110110010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*g - 8 = -2, -3*i = -2*g + 7. Let q be 0*(3\/i)\/(-1). Suppose q*o + 2*o = 72. Does 18 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12.929, -4, -2 in decreasing order.\nAnswer: 12.929, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y = 10*l - 182, 4*l - 9213814 = -2*y - 9213842 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -14 - 5*u + 4*u + 15. Let z be n(-1). Suppose z*j + 35 = 9*j. Let p(r) = r**3 - 6*r**2 + 4*r + 4. Determine p(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 11*l**3 - 7*l - 2. Let a(z) = -6*z**3 + 4*z + 1. Suppose n - 96 = -103. Determine n*a(f) - 4*r(f).\nAnswer: -2*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71450.\nAnswer: 2, 5, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - (-17 - 11)) + -18\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 1. Let g(j) = -9 + j**w - 11*j**3 - 3*j**3. Let m(n) be the third derivative of -n**6\/40 - n**3\/3 - 56*n**2 - 7*n. What is 2*g(t) - 9*m(t)?\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.23 (b) -1\/2 (c) -4\/11 (d) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 != 20\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 + 28. Suppose 13 = w*h - 11. Let z be 3*h\/24*0. Which is smaller: z or 2\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 77*i**6\/15 + 62*i**2 + 93*i - 144. Let f(x) be the first derivative of h(x). Differentiate f(o) with respect to o.\nAnswer: 616*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = -9*n + 13*n + 90, -55 = -4*c + n. Suppose -12 = -0*j - 3*j. Suppose j*x = -x + 115. What is the remainder when x is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/10 and -21\/4069.\nAnswer: 40690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 134*j + 2. Suppose -103*o - 403 = 150*o + 150*o. Give x(o).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 207311 (base 9) to base 11\nAnswer: 84831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -d - 1. Suppose -d = y - 13. Let j = -5 + y. Calculate the lowest common multiple of 22 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + c + 2*c)*(-15*c + 0*c - 27*c)*(-2 - 2 + 3).\nAnswer: 84*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*u - 37*u + 20*u)*(-3 + 3 - 2).\nAnswer: 60*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000157216 rounded to seven dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -29, 8, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 11920 = -2*a, 4*o + 6*a - 9*a - 11920 = 0. Is 17 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7298 and 4094?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 8*t**2 - 23*t + 13. List the prime factors of o(-9).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-104)\/(-10) + (-24)\/60. Let d = 100 - -10. Calculate the greatest common factor of d and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 144.2469l to millilitres.\nAnswer: 144246.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 876*r**2 + 17*r**4 - 8*r**3 - 878*r**2 + 2*r + 0 + 1 to the form m + q*r + t*r**4 + f*r**2 + l*r**3 and give t.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17312021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288044.\nAnswer: 2, 107, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1452711?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 1\/7 (c) 69\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-4)*f**(-1\/5)\/f*f**4\/(f\/(f\/(f\/((f**(-2\/3)\/f)\/f)))) assuming f is positive.\nAnswer: f**(-73\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 1810, -119?\nAnswer: -119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - 4*d. Suppose d*y = -4*y + 80. Let k = 37 - -1. What is the remainder when k is divided by y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 13*t + 14. Let c be p(14). Let m be (0 - c) + 2 + 3. Suppose -5*y + 7 = -3*j, -y - m*j + 6 = -1. Solve -5*q = -15, -5*d + y + 4 = 2*q for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 305806992 divided by -3\nAnswer: -101935664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-4)*1\/(-2). Let y(o) be the third derivative of -1\/6*o**3 + o**2 + 0 + 0*o + b*o**4. Give y(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 7*m + 10. Let p be 8\/(-6)*(-1 - -7). Let k be w(p). Suppose -4*t = c - 19, 4 + 41 = k*c + t. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 1249 = -o - 1282, 0 = -f + 5*o - 17 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 500 or 126674\/253?\nAnswer: 500","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 11:49 PM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 253349 + -253359.6081. Let q = 0.1219 - i. What is q rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 19. Suppose r - 65 = -m*g, 2*g + 2*r - 26 = 6*r. Is 3 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 552?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -13, -19?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9 + 4\/(-4) + -3. Let n = v + 6. Is n even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = -2*z + 5*x, 75*x + 60 = 3*z + 79*x for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*o - 1761 = 13*o - 25*o + 59 for o.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/12)\/(68\/51)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 5*h + 3*s, -4*h + 7 = -5*s + 8*s for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 18*w - 4. Let l be c(-1). Let o = 13 - l. Let q = o - 32. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 257426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 5*y + 38 = 3*j, -3*j - 5*y = 46 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxnxxxxxxn. Give prob of picking 2 n and 1 x.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -833116 smaller than -833113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1809365, 3618734, 5428105, 7237478, 9046853?\n\"Answer: g**2 + 1809366*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 125 - 121. Let v(f) be the first derivative of -3*f**2\/2 + 6*f + 2. What is v(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**3\/3 + 2476*s**2\/3 + 21492*s - 338052 = 0. What is s?\nAnswer: -591, -39, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -117727\/62 + 3801\/2. Calculate the common denominator of (-177)\/4*(-2)\/(-9) and k.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q = 45 - 67 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 12 = -0. Let p(t) = 2*t - 1. Let v(r) = 4*r. Let s(b) = 3*p(b) - 2*v(b). Calculate s(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -6*a - 201. Calculate t(-34).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 7026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1949 + 237.4051. Round l to the nearest ten.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 76 - 1991?\nAnswer: -1916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8055 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 - 46 = 24*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 10:46 PM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 6*t**2 - 2*t + 2. Suppose -3*v + 13 = 7. Let h(j) = -j**2 + j - 1. Determine v*h(l) + b(l).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/27 + (-110)\/(-171). Let w = 83\/152 - u. Let s = 8 + -8. Which is bigger: s or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 + 28. Let c be 14\/(-63)*p\/4. What is the nearest to 0.02 in c, 2\/3, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6660.6 + 6661. Let r = 4 - 9. What is the third biggest value in 4, 3, r, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2471?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 26784\/24*(-2)\/4. Let g = m - -1330. List the prime factors of g.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8231893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.72 - -0.62. What is the nearest to -0.2 in -5, -4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeekeqkqeke. What is prob of sequence kqe?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 12*x**2 + 18*x - 3. Let y be a(-10). Is y bigger than 242\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 795561725.\nAnswer: 5, 7, 433, 10499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 23, -357, -3\/2 in decreasing order.\nAnswer: 23, 1\/7, -3\/2, -357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -641488, -2566939, -5776024, -10268743, -16045096, -23105083, -31448704?\nAnswer: -41075959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/1503381 and -41\/275.\nAnswer: 37584525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 7:44 AM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -0*s. Suppose 4*f - 4*g = 4, 4*f = -g - s + 9. Let h = f + 1. Solve 0 = h*j - j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -325, 4.\nAnswer: -325, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/8 - 4\/(-16). Suppose 4*p - 11 - 1 = h. Suppose -5*y = 2*q - 42, 0 = -4*q - p - 13. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 148 = -3474. Let c = -219132\/121 - b. Which is smaller: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22891476 and 4140?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 131, -17\/3, -0.03, -3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*g = 109*g + 10188. Does 8 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 11:31 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/14)\/((-45)\/(-105)*-5)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2*j - 6, 0 = -4*b + 2*j - j + 6. Let a be (2 - (-2 + -8)) + -1. Suppose 2 - a = -3*l. Solve b*o - 25 = -l*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + -8)*(-2)\/2. Let v(h) = 41*h**2 - 95*h**2 + 9 + 46*h**2 + h**3 + 6*h. Let p be v(q). Solve -6*m - 2 = 2*z - 4*m, 2*m - 6 = p*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 26*h**2 - h - 1. Let m be r(2). Let c(y) = -50 + 2*y + m - 51. Let z(j) = j. Determine c(z(s)).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1503 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -26, -1, -947, 818?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2488 (base 10) in base 2?\nAnswer: 100110111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 5*z**2 + 2*z - 8. Let l be w(2). Suppose -21*i + l*i + 11185 = 0. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 4636.\nAnswer: 23180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 2)*(-41 + 40 + 47)*(0*m**2 - 2*m**2 + 3*m**2).\nAnswer: -138*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20\/6 + (-2)\/(-3). Let l be ((-15)\/12)\/(1\/c). Let r(z) = -z - 4. What is the units digit of r(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.07 + 2.93. Let p = 1610.2 - 1610. Which is the biggest value? (a) p (b) -4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12035.6299 from 117.\nAnswer: -11918.6299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 30*f**2 - 6*f - 5. What is the tens digit of d(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 123 - 121. Solve -o*a - 17 = -7 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 317*l*o**2 + 2*l*o + 30956*l - 2*o**2 - 18564646*o wrt l.\nAnswer: 317*o**2 + 2*o + 30956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-4) - 637\/(-2520). Let w(z) be the third derivative of 0*z + 0 - 1\/18*z**3 - p*z**6 - 2*z**2 + 1\/180*z**5 + 1\/72*z**4. Factor w(x).\nAnswer: -(x - 1)**2*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -11*f + 7. Let s(p) = -27*p + 14. Let w(z) = -5*b(z) + 2*s(z). Let x(i) = i**3 + i**2 - 1. Let l be x(1). Let k be 1\/(l\/3) - -5. Calculate w(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/2, 4, -0.2907, 2\/33?\nAnswer: -0.2907","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqpoqpuwnuqqqq. Give prob of sequence oq.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -95433975 by -46215.\nAnswer: 2065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2250 - (7 + -1 - 4). Suppose 2*b = -2*b + k. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-1)\/((-2)\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5910999 and 0.5.\nAnswer: 2955499.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3956548 - 5.\nAnswer: -3956553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 115\/20 - (-1)\/4. Let w be 2\/12 - (-29)\/x. Solve -z + 3 = -a + 2, a + w = -3*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 1676?\nAnswer: 11732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1992258619?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by 299.\nAnswer: 17\/299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -2 - 5) + 5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cy when two letters picked without replacement from ocycyyy?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5354.4928 from 0.1362746.\nAnswer: -5354.3565254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qio when three letters picked without replacement from {n: 2, q: 5, j: 11, o: 1, i: 1}?\nAnswer: 1\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -262752.737 + 86.66.\nAnswer: -262666.077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 6)*(-347*s - 175*s - 71*s).\nAnswer: -593*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqee when four letters picked without replacement from {q: 5, e: 7}.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccsccsstsut. What is prob of picking 1 s and 2 t?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2678*v = -71910 - 91448 for v.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1195\/22 + 58. Let f = -70419\/17 + 4151. Let n = f - 3001\/374. Calculate the common denominator of n and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8468*-2.\nAnswer: -16936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 4\/13015833?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 3. Let x be 525\/77 + (-4)\/(-22). Suppose 0 = x*a - d*a - 1015. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*w**3 - 11413*w**2 + 22850*w**2 - 11437*w**2.\nAnswer: -15*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - u = 4*u. Solve 3*i + 5*f - 17 = -u*i, -8 = -2*f for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2258, 10040, 23000, 41132, 64430, 92888?\nAnswer: 126500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1014230 + 1244031?\nAnswer: 224301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.3 (b) -2\/1241 (c) -0.4 (d) 72\/5 (e) 0.11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -307*y**2 + 238*y + 412*y - 105625 - 309*y**2 + 615*y**2.\nAnswer: -(y - 325)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*b**5 - 17*b**4 + 59*b**2?\nAnswer: -360*b**2 - 408*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/684414 and -19\/1140690.\nAnswer: 3422070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -k**6\/360 - k**5\/40 - k**4\/12 - 10*k**3\/3 - 4. Let l(x) be the third derivative of r(x). Calculate l(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/6 and 25\/66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(98)*-2.\nAnswer: -14*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2035 and 1535?\nAnswer: 624745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-608)\/190*(-12)\/8*2\/8.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*x = -17*x - 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 45370 or 45372?\nAnswer: 45372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 34117 a multiple of 313?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 17*w**2 - 19*w - 13. Let f be x(12). Let z be ((-1047)\/(-2))\/((-6)\/(-8)). Let y = z - f. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 3*c + 79, 7*l - 3*l + 2*c = 118. Suppose -598 - l = -5*w. What are the prime factors of w?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 4:20 AM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -3285\/1912?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98283, 196585, 294887, 393189?\nAnswer: 491491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 12*w**2 - 34*w + 189. Let o be d(5). Suppose 49840 = -o*g + 312*g. What is g rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/6 + (-2)\/1)*-10. Solve h*i**2 - 76*i**4 + 3*i**5 - 3*i + 70*i**4 + i**2 = 0 for i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 115*j - 300.\nAnswer: 115","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*(-2)\/8*-1. Suppose -t - 4*t - 39 = -b, o = -2*b + 3*t + 57. Calculate the highest common divisor of b and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 122*j**2 - 208 + 135*j**2 - 256*j**2 to the form z*j**2 + r*j + a and give a.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 24 = -2*u, 2*a = -7*u + 3*u + 16. Let c = 8 + -4. Calculate the remainder when c is divided by (-11)\/(-3) - a\/12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8016880 to the nearest 10000.\nAnswer: 8020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 879.05 to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 1 - 1 - 1 + 0*s**3 + 4*s**2. Let w be j(3). Suppose n - 5*a = 10, -4*n - a = -w*a - 25. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1059 = 18*r - 345. What is the remainder when r is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50808 is divided by 50141.\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m - 5. Let j(n) = n + 8. Calculate 5*j(l) + 8*u(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1362227*n**4 - 393209 wrt n.\nAnswer: 5448908*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2744 and 48.\nAnswer: 16464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002891395 rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1388549 to the nearest integer?\nAnswer: 1178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4)*5300\/371*(-4)\/(-16)*28?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.4829 - -1.3171. Let l = -0.3 - -0.4. Which is the closest to l? (a) 0.3 (b) y (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27897 rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -400 + 801\/2. Let t be 15\/12*18\/(-30). What is the fourth biggest value in t, p, 5, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 44 or -11842012?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -397177, -794365, -1191561, -1588765, -1985977?\n\"Answer: -4*a**2 - 397176*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -207, -486, -865, -1338, -1899, -2542, -3261?\nAnswer: -4050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 10*d. Let r(p) = 466*p. Determine r(i(j)).\nAnswer: 4660*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, j: 2, m: 1, b: 2, c: 1, z: 1}. Give prob of picking 1 m and 1 s.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 426613, 3412785, 11518101, 27302131, 53324445, 92144613?\n\"Answer: 426595*x**3 + 2*x**2 + x + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + k + 16, -3*x - 2*x = k - 14. Suppose z - 61 = -n, -101 = -x*z - n + 90. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 62524?\nAnswer: -62523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 623.\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 35? (a) 4 (b) 5 (c) 171\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1001 is divided by 48?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 16) in base 8?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 936 and 13320?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 17 = 2. Let r be -1 + 2 + (-3)\/n. Suppose -5*z = -r*f + 8, 5*f - 2*z + z + 3 = 0. What is the third smallest value in 4, f, 6\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5843, -5846, -5849, -5852?\n\"Answer: -3*r - 5840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + c + 132 = 0, -c = -g + 31 + 34. Let y(n) = -g - 2*n**2 + 66 + n + 3*n**2. Calculate y(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.3, 2, 68, -0.2, 0.2 in decreasing order.\nAnswer: 68, 2, 0.2, -0.2, -3.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/280 and 151\/10440.\nAnswer: 73080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, -3, -0.5, 1, 10\/143?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -498, -659, -878, -1173, -1562, -2063, -2694?\nAnswer: -3473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -16*z - 69. Determine v(-7).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2694075611.\nAnswer: 29, 92899159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5 - 0.2. Which is the nearest to 0? (a) -2 (b) q (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 894\/15 + 10\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y + 9205 = -20*y. Let m = -251 - y. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.81 take away -32638568.26?\nAnswer: 32638595.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57078 - 32579. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2936 = -2*r - 3*r, 2*x - 8 = 0. Is 19 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 11:32 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 + 130*z**2 - 9 - 6 to the form p*z**2 + u*z + j and give p.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q - 5*v + 22, 0 = -5*q + 5*v - 17787 + 17732 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = u - 457. Let s = u - 118. List the prime factors of s.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 418498948?\nAnswer: 2, 7, 83, 180077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111560*b**2 - 4*b**3 + 17 - 111558*b**2 - 3*b**3.\nAnswer: -7*b**3 + 2*b**2 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 6995.7001 to the nearest 100.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 19*q)*(2 - 1 - 3)*(-27 - 4*q + 27).\nAnswer: -152*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11408, -22817, -34226, -45635, -57044, -68453?\nAnswer: -79862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 342, 585, 988, 1551, 2274, 3157, 4200?\nAnswer: 5403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12065849.\nAnswer: 41, 294289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 11 = k, -12*u - 290 = -326 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -w**4\/8 - 7*w**2 + 5*w. Let g(u) = -u - 4. Give t(g(d)).\nAnswer: 3*d + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*j - 24*j. Let m = -0.4 + 0.2. Let x = m - 0. Which is the biggest value? (a) j (b) 3\/2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 202235691 by -5231.\nAnswer: -38661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 30223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/4 + -1)*4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.2, 0.4, 1\/3 in increasing order.\nAnswer: -1, -0.2, 1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6*3\/((-36)\/(-8))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 41) + -3 + 5 + -371 + 383\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f = -24906 + 60442. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268947986917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-6))\/((-28)\/777)*212 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 i when two letters picked without replacement from {h: 1, j: 2, u: 1, i: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.113, 20, -2\/3, 3 in descending order.\nAnswer: 20, 3, 0.113, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 2)*(-5*h + 2 - 2)*(0 - 15 - 34).\nAnswer: 735*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/9)*w**6)**(-26) assuming w is positive.\nAnswer: w**(-1456\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -852470 <= -852469?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-10)\/6 + (-1)\/(-3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-2) - -2) + 0. Let a be r + -3 - (-1 + 1). Suppose -3*d + 6*d - 15 = 0. Sort -4, d, a in decreasing order.\nAnswer: d, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 241 (base 6) to base 8\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -12461*g + 981. Is r(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*6*(2 + (sqrt(847) - sqrt(847)*-2)*-5 + 0)*6)**2*3.\nAnswer: -10264320*sqrt(7) + 2963884608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 3021426?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -3 (b) 8 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -45*w + 1. Let j(m) = 88*m - 2. What is -6*j(o) - 11*x(o)?\nAnswer: -33*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24895*k**3 + 1973*k**2 - 104036347*k wrt k?\nAnswer: -149370*k + 3946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1826a - -15d?\nAnswer: 183c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 5*a**2 + 5*a. Let l be s(4). Let k(n) = -n**3 + 6*n**2 - 7*n + 4. Let o be k(l). Which is smaller: 9 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of a**3 - 7*a - 2. What is the first derivative of h(y) wrt y?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23\/4, -11, -10, -2\/7, 41\/2.\nAnswer: -11, -10, -2\/7, 23\/4, 41\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -3, -154\/9, -2, -8, 3\/2 in ascending order.\nAnswer: -154\/9, -8, -3, -2, -2\/11, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/132 and -46\/2685.\nAnswer: 118140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2 = 3*i - 1, f + 1 = 4*i. What is the units digit of f\/6 - (-148)\/24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -7, 1\/3, -0.6, 3\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 119, 0, 2.\nAnswer: -6, 0, 2, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3591724 to the power of 1\/2, to the nearest integer?\nAnswer: 1895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.42 - -0.06. Let m = w + 0.356. What is m rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-19)\/(-5) + (-12)\/(-60). Solve 0 = -5*t - 19 + f for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -5*v**3 - 10035*v**2 + 70460*v - 60420 = 0.\nAnswer: -2014, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21800 is divided by 4186.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 8 + 13 = 5*h, 4*v = -20. Suppose 0 = n - 2, -3*w + 6 = -h*n. Determine g so that 1\/4*g**w + 0*g + 0 - 1\/2*g**3 + 1\/4*g**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10.4 + 16.5. Let u = l + -6. Put u, -4, 2, 4 in decreasing order.\nAnswer: 4, 2, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204039 = 4*k - w, 2*k - 66*w = -65*w + 102017. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12\/7*v**4 + 72\/7*v - 4*v**2 + 4\/7*v**5 - 32\/7 - 4*v**3.\nAnswer: 4*(v - 1)**3*(v + 2)*(v + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 + 0.4. Let i = -0.03 + 3.03. Let b = i - 5. What is the second smallest value in -0.06, w, b?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/10 + 5590\/50. Let i = r + -59. Calculate the highest common divisor of 159 and i.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2270516 is divided by 1530?\nAnswer: 1526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -150*z - 1215. Give b(-7).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 + 148*i + 2450.\nAnswer: 2*(i + 25)*(i + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j + 4. Let u be r(3). Let f = 26 + u. Suppose -f = -4*b - 3*o + 54, 2*b - 2*o = 20. Is 9 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 440 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 2*m + 4*m)*(2 + 0 - 3) + (-m + 0*m + 0*m)*(-2 + 3 - 2) - 2 + 2 + 2*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*s + 40 = 120*s. Solve -s = -2*l, -3*y - 2*y - 5*l + 10 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101000011001110110 + -101101111?\nAnswer: 1101000010100000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + 7892.9.\nAnswer: 7893.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w - 2*w + 3*w)*(-1 + 2 - 2)*(-w + 2*w - 2*w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17\/2? (a) 0 (b) -85 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 1011221?\nAnswer: 1011210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1421103 (base 5) to base 9.\nAnswer: 44448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 3. Suppose -3*p + 6 = 3*d, 5*d - 2*d + 6 = 0. Suppose p*a + 6 + 2 = 0. What is the second biggest value in 4, w, a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 5*h - 4. Let j be w(-3). Calculate the highest common factor of 6 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 24109717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 4:50 AM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/18 + 33\/45 - (-459)\/(-85)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*r + 15910 = 74*r - 144*r - 154*r for r.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3*(-1 + (sqrt(75) - (sqrt(75) - (sqrt(75) - (3 + (sqrt(75) - (-1 + sqrt(75))))**2))) - 2*-4*(sqrt(75) + 1)).\nAnswer: -135*sqrt(3) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 26 = x, x + 4 = 2*c + 3*x. Let r = c - -14. Let g = 25 - r. Solve 6 + 6 = -g*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 + 18. Suppose 3*q + 5*f = 95, 2*q + 7*f = 3*f + u. Is 3 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/116112 and -99\/5248?\nAnswer: 928896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5169 or -5119?\nAnswer: -5119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 100110100011001 (base 2) in base 6?\nAnswer: 231213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.852103 + -6.\nAnswer: -12.852103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5220 and 1?\nAnswer: 5219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 12.6, 2\/843, -2?\nAnswer: 12.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -30 in increasing order.\nAnswer: -30, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 463774257?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15269.\nAnswer: 15269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t**2 + 75*t + 81. Give w(26).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 5*p**3 + 61*p**2 + 97*p - 157. Calculate v(-10).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13299\/4 + 3349. Calculate the common denominator of a and (-9)\/7*12\/(-8).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 761 (base 14) to base 2.\nAnswer: 10110110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 4*m + 12, -5*m - 7 = 2*u + 1. Let r = 56 + u. What is the remainder when r is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 294291623*v**3 - 139849530*v**2 wrt v.\nAnswer: 1765749738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 188946312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 20*s - 38*s**2 + 84*s**2 - 45*s**2 - 19 - 31. Let g be h(-28). Calculate the highest common factor of 290 and g.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/17*p**2 - 6\/17 - 8\/17*p.\nAnswer: -2*(p + 1)*(p + 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-2 + 13)) + (-89 - (44 + -58))\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1055*x**2 + 264*x**2 + 362*x**2 as z*x**2 + l*x + r and give z.\nAnswer: 1681","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - 1. Let f = -0.2 - -0.1. Which is the closest to f? (a) 3 (b) d (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 592 - 373. Let w = z - 218.9. Let p = 22 + -19. Sort p, w, -64, -2\/7 in decreasing order.\nAnswer: p, w, -2\/7, -64","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121938336 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 33\/5 of a decade?\nAnswer: 792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -be + -7b4e50?\nAnswer: -7b4f0e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1176 + 1177. Which is the closest to -0.1? (a) -0.3 (b) 5 (c) m (d) -7\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 4:59 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -2*g + 11*g + 4, g = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/(-20))\/(4\/20). Let w(c) be the second derivative of -1\/15*c**t + 0*c**2 - 3*c + 1\/30*c**4 + 0. Determine i, given that w(i) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 2, -674, 2134, 0 in decreasing order.\nAnswer: 2134, 5, 2, 1, 0, -674","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((300\/63)\/5)\/(9*(-34)\/(-357)).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j**3 - 5*j - 18. Let b(l) = -7*l**3 + 11*l + 39. What is 4*b(g) + 9*w(g)?\nAnswer: 8*g**3 - g - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3870424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2702133 a multiple of 425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4550 = 139*v - 104*v. Suppose -v = -33*z + 7*z. Which is the closest to -8\/11? (a) -0.2 (b) -1\/8 (c) z (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 2 + 18 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.90592 minus 0.4?\nAnswer: 50.50592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/22200 and 23\/15540?\nAnswer: 155400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2501588 is divided by 2725?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -93 (c) 42 (d) 1.6 (e) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/((-8)\/(-2))*20\/(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.7 + 7.19. Let a = -0.455 + j. Let k = a - 1.035. Do -0.32 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1297464422\/10173 + 127540. Let x = y + 518903\/406920. What is the common denominator of 47\/2 and x?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/1697185 and -3\/1697185.\nAnswer: 1697185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) -2\/13 (b) -7 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-180)*-5*45\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 286*q = 294*q - 2272. Suppose q = 2*m + 228. What is the greatest common factor of 56 and m?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201285*q**3 + 153265*q**3 + 138637*q**3 + 99183*q**3.\nAnswer: 592370*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d + 11. Let q be h(2). Suppose -10*i = -q*i - 1. Solve 0 = -2*x + 4*a - i + 5, 4*a + 16 = -x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zch when three letters picked without replacement from {z: 2, h: 2, c: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 1561915.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (120\/(-100))\/((-2)\/((-40)\/(-6))). Suppose -2*n + 16 = 2*t, 0 = -n - n + 2*t - i. Solve 2*f = f - n for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/348 and 71\/1557.\nAnswer: 180612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**2 - 3*j - 5. Suppose -5*a - 6 = -3*a. Let s be y(a). What is the derivative of -2*w**4 - 31*w + s*w - 2 wrt w?\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -11*t**6 - 5*t**5 - 5*t**4 - 6*t**2 - 5*t. Let d(h) = -h**6 + h**5 + h**4 + h. Let p(k) = -5*d(k) - z(k). Find the third derivative of p(n) wrt n.\nAnswer: 1920*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1109*c**3 - 264 + 264 - 22074*c**4 + 1109*c**3 - 3*c**2 - 2*c**4 + 3*c**2 + (-1 + 2 - 3)*(-3*c**4 - 3*c**4 + 4*c**4) - 2*c**4 - 4*c**4 + 5*c**4.\nAnswer: -22073*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -2*q**7\/315 - q**6\/45 - 9*q**2 + 25. Let v(n) be the second derivative of f(n). Factor v(i).\nAnswer: -4*i**3*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4585 - -3860. What is the smallest value in -0.3, 3, o, 1\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -198 - 87. Let v = -13 + z. Suppose -8 + v = 4*q. Calculate the highest common divisor of 27 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11647140.\nAnswer: 2, 3, 5, 194119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 898*c = 2326904 - 2321516 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.2 <= -1\/48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2678 = 1404*p - 1198*p for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4 = -6, -5*j = 5*y - 100. Let q be (-430)\/(-30) + ((-4)\/3 - -1). Calculate the remainder when y is divided by (-32)\/(-3) - (-4 - q\/(-3)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*o - 19 + 74 - 5*o**2 + 79*o = 0 for o.\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.578, 1\/3, 2\/9, 5 in decreasing order.\nAnswer: 5, 1\/3, 2\/9, -0.578, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3 (b) 0.4 (c) -2\/7 (d) 51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**3 - 733*w**2 + 1818*w + 1056. What is z(364)?\nAnswer: 328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -406*d**2 + 2*d**3 + 137*d**2 + 130*d**2 - 1 - 2*d + 137*d**2. Determine b(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -10094*f**2 + 97. Let y(b) = -3*b. Give r(y(i)).\nAnswer: -90846*i**2 + 97","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -26*l**2 - l. Let q be t(-1). Let g be 15\/q - 3\/(-5). Let y(w) = w + 9. Let v be y(-4). Sort v, g, 4 in increasing order.\nAnswer: g, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2290\/7 - -328. Let q = 29.01 - 29.21. Let t = 0.3 - -0.7. What is the closest to t in q, c, 0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9319718 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i + i + i + (-i + 2*i + 0*i)*(-3 - 3 + 7) - 16 - 2*i + 3 + 3*i.\nAnswer: 4*i - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 8) to base 5.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6.117439 or -72?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-3\/2)\/n*n)\/n**25)**(-2\/25))**30 assuming n is positive.\nAnswer: n**(318\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v + 6. Suppose 0 = -f - 3*f + 4*k + 32, 0 = 2*f - 4*k - 24. Let p = 7 - f. Suppose -5*n = p - 23. Give c(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3234719*122\nAnswer: 394635718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j, -s + 0*j + 20218 = -3*j. Let k = s - 13097. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 761*c**2 + 247*c + 4. Let i(p) = 1526*p**2 + 492*p + 9. Let d(o) = 6*i(o) - 13*y(o). What is the second derivative of d(v) wrt v?\nAnswer: -1474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of s**7\/350 - s**6\/50 + s**5\/20 - s**4\/20 + 3*s**2. Factor w(k).\nAnswer: 3*k*(k - 2)*(k - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05 and -567179.\nAnswer: 28358.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 7*j**2 - 4 - j**2 - 4 + 4 + j**2 + 0*j**2 + j**2 + (1 - 1 - j)*(-3 + 3 - j).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1464229 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8339, 15336, 26995, 43316, 64299?\nAnswer: 89944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 8*h - 5*f = 139228, -5*f = 0. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1877 - 1870.832. Let i = -34.223 + s. Let c = -28 - i. Round c to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 33*c + 31*c + 215999, c = 5*v - 216008. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-50)\/(-70)*(-15 + 29). Sort -24, -1, 0, l.\nAnswer: -24, -1, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37427011?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r**3\/5 - 1632*r**2 + 3592163*r\/5 + 3600324\/5 = 0. What is r?\nAnswer: -1, 468, 7693","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 61304.03 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 96718.19 decades in millennia?\nAnswer: 967.1819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -288 - -419. What are the prime factors of f?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 - -34848698377?\nAnswer: 34848698375.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 6)*(-1131 - 2792 - 4371)*(-z + 4*z - 2*z) as r + c*z and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17641692 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2854478 divided by -3.\nAnswer: 2854478\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 2:44 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 5 - 1 - 18\/(-2). Let n = 5 - 1. Suppose 6*k - 60 = n*k. Calculate the greatest common factor of k and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x + 2. Let i be q(-3). Suppose -i*l - 122 = -4*s, -5*s + 0*l + 144 = -2*l. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**5\/7 + 674*t**4\/7 - 3406*t**3\/7 + 4782*t**2\/7 - 2052*t\/7 = 0 for t.\nAnswer: -342, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-4) - (-2)\/12. Suppose 13*y - 11*y = 6. Suppose -2*h + 4*s - 2 = 0, y*s = -6*h + 4*h - 9. Which is the nearest to -1? (a) w (b) 2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 515*h - 776. Is z(35) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 0*b + 0*b - 3*b + 4*b. Let d(n) be the first derivative of 2*n**3 + 1. Give f(d(q)).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -16*o + 15. Let q be u(-5). Is q\/4 - 1\/(-4) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 4*k + u, -3*k + 4*u = -u - 16. Let q(b) = -342*b**2 + 7*b + 5. Let r be q(k). Let l = 6257 + r. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*n + 6*j - j = -3513, -n = -0*n - 23*j + 39*j - 81 for n.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 571228309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-47 - 0)*1 - (32 + -29). Let l = f + 55. Suppose -8 = 3*y + o - l*o, -o = 3*y - 17. Solve 20 = y*r - 0*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + m - 2)*(-4*m**3 - m**4 - m**4 + 3*m**4).\nAnswer: m**5 - 4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1109 and 0.3.\nAnswer: 0.03327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a decade in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/4)*n)**(-7)*(n**18\/n)**9)**(1\/4) assuming n is positive.\nAnswer: n**(577\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -445 - 297873.\nAnswer: -298318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/((0 - -7) + -5). Suppose -5*k + y + 27847 = 0, 0 = p*k + 5*y + 3991 - 20716. What is k rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -617*r + 18. Let f(s) = -s + 4. Calculate -a(y) + 5*f(y).\nAnswer: 612*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = d - 22, -4 = -6*d + 10*d + 3*t for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 - 90 = -3*x. What is j in 5*j**2 - 6 + 12*j**2 - x*j**2 + 5*j + 5*j**2 = 0?\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n - 5*n + 22 - 14*n + 27*n to the form l + s*n and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000153433 rounded to 5 decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26012?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257194?\nAnswer: 2, 7, 18371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 500, 1096, 2140, 3644, 5620, 8080?\n\"Answer: 2*n**3 + 212*n**2 - 54*n + 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 336 and 5957?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 0) + -20 + 18 + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*m + 1. Let f be m\/22 + 16\/396. Let h be ((-12)\/8)\/(6\/(-8)). What is the nearest to -0.1 in h, 0.3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 1 - (-2)\/6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -73*y**4\/4 - 84*y - 55. Let n(f) be the first derivative of b(f). Let w(v) = -v. Calculate n(w(i)).\nAnswer: -219*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25234276.\nAnswer: 2, 6308569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from ffgggqb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 233 - 232. Let u be (-1)\/6*3*2. Put u, m, 0, 3 in ascending order.\nAnswer: u, 0, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*y = -65*y + 93. Calculate the smallest common multiple of 54\/45 - 1\/5 and y.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 11:21 AM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 8:02 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1661 is divided by 44.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.87 less than -38704?\nAnswer: -38704.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from {m: 12, r: 1}.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258 = 8*r - 2*r. Let m = -31 + r. Is m a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -6*v**3 - 2*v**2 + 3*v - 44. Let b(z) = -3*z**3 - 2*z**2 + 2*z - 46. Give 3*b(n) - 2*x(n).\nAnswer: 3*n**3 - 2*n**2 - 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2883 + 2889. Let t(s) = 23*s - 152. Give t(u).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 5:05 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 3553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 11) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (825\/(-200))\/((-12)\/(-28)) + 9\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 83.3 + -83. What is the second smallest value in s, 7, -1, 0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13248 and 31280?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 153, 571, 1267, 2247, 3517, 5083, 6951, 9127?\nAnswer: 11617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -357705686 or -2?\nAnswer: -357705686","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -107195695 to the nearest 100000.\nAnswer: -107200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11267.2 - 8.2. Is -1\/2 >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184547*m + 92168*m + 92381*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 581.1952 micrometers in millimeters?\nAnswer: 0.5811952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -29*u**3 + 5*u**2 - 19*u - 58. Calculate x(-2).\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.550076ng in grams?\nAnswer: 0.000000000550076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -474 + 473.315. What is o rounded to two dps?\nAnswer: -0.69","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/2)*y**(-2\/5))\/(y**(-1\/3)\/y*(y*y*y**(-7))\/y))**(-16) assuming y is positive.\nAnswer: y**(-1544\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 221 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 83038 to the power of 1\/2, to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5555 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-2))\/(u\/(u\/u**(-6))))\/(u**(-1\/3))**(-6) assuming u is positive.\nAnswer: u**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from {v: 7, b: 2, g: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v + 14. Determine p(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 31460 and 78?\nAnswer: 94380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 214176?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w**(5\/2)*w*w*w)\/w)\/(w**(3\/5)*w)*w**1*w*w**(1\/5) assuming w is positive.\nAnswer: w**(61\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1415718, 5663059, 12741952, 22652391, 35394370, 50967883?\nAnswer: 69372924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 7*q + 6. Suppose -4*j = 5*s - j + 26, 3 = j. Let f be y(s). Solve -3*t + f*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -19 + -17 - 3.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38 - -139. Suppose 8*j = p + 35. Calculate the remainder when 61 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, -12\/73, -4.\nAnswer: -4, -12\/73, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0*f - 6*f - 6*f)*(2 - 4 + 1) as b + t*f and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 26 - (0 - -3 - (32 + -45 + 22))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 704968034, 704968033, 704968032, 704968031, 704968030, 704968029?\n\"Answer: -d + 704968035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -2 (b) 0 (c) 0.4 (d) -3\/70\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42999 * -1.\nAnswer: 42999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-24 - 2) + (1222 - 1236)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 123.1 - 129.01. Let d = f - -0.91. Let v = 1 - 1. What is the nearest to 2 in d, v, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-180)\/(-25)*40\/(-6). Let l be 4\/18 - y\/27. Solve -4*k + 6*k**2 + 7*k + l + 3*k + 2*k**3 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 107*j - 186*j - 81*j - 979*j - 188*j to w*j + d and give w.\nAnswer: -1327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 26896*s + 53783. Determine t(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -271710, -1086883, -2445516, -4347609, -6793162, -9782175?\nAnswer: -13314648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 8:54 AM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -16*x + 95, -3*d + 4*d = -4*x + 15. Solve -4*v = 5*y - 37, -v - 27 = -x*y - 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - 4*y + (-1 + 3 + 0)*(-3*y - 2*y + 3*y) - 401 - 106*y + 401 - 3*y + 2*y - 3*y.\nAnswer: -118*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36193\/76572775 + 4\/13493. Let v = 527767\/45400 - t. Let k = 3137\/3 + -6161\/6. What is the common denominator of k and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**(2\/3)*p*p*p)**(3\/2)*p**(-4)*p\/(p**0\/p))**(-2\/3) assuming p is positive.\nAnswer: p**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -77 - (6 - 3) - 0. Let k = 156 + d. Suppose 4*f + 0*m = -3*m + k, 0 = 4*f - 5*m - 44. Solve 0 = 4*a - f, a + 14 = w + 4*a for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 - 22 = -2*w + 5*b, -4*w - 2*b = -214. Let p = w - 12. Calculate the greatest common divisor of 22 and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 10:28 AM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 3*l + 5, 5*l - u - 2*u - 13 = 0. Differentiate 9*c - 2*c + 2*c + 7*c + l with respect to c.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52.24 - -2.4. Let p = 0.64 - y. Let u = -46.9 - p. What is u rounded to zero decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4001.57kg to micrograms.\nAnswer: 4001570000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -386593, -773250, -1159969, -1546750, -1933593?\nAnswer: -2320498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -6*u + 25. Let x(t) = 37*t + 30. What is y(x(a))?\nAnswer: -222*a - 155","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -811 - -4316. Calculate the greatest common divisor of i and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -11*q - 3. Calculate k(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u + 24*u + 2*u**2 - u**2 - 19. Suppose 6*k = k - 130. Is 3 a factor of c(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000827642467 to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 5*p - 67. Let h(x) = 4*x - 53. Calculate -5*d(b) + 4*h(b).\nAnswer: -9*b + 123","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -31 + 11c688?\nAnswer: 11c657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -1\/9 (c) -32 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -543166, -1086297, -1629428, -2172559, -2715690?\nAnswer: -3258821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, x: 8, v: 5, z: 3, l: 2}. Give prob of sequence vl.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.5, 255, 4 in descending order.\nAnswer: 255, 4, 0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 49053694 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w**2 + 3*w - 3. Let p(j) = 2*j**2 + 4*j - 2. Let t(a) = -5*c(a) + 4*p(a). Let m(h) = -15*h**2 + 2*h + 15. Determine 6*m(g) - 13*t(g).\nAnswer: g**2 - g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 195 and 47175?\nAnswer: 613275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -176 + 126. Let j = g + 89. Suppose -x = -5*d - 0*x + 388, x + 310 = 4*d. Calculate the greatest common divisor of j and d.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 13\/4 of a tonne?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(9)\/sqrt(3) - sqrt(3))*-1)**2 + (sqrt(6) + (sqrt(216) + (sqrt(216) - (sqrt(216) - sqrt(216)*1)) - sqrt(216)))\/sqrt(2).\nAnswer: 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 11*h + 477 = 0. Let f(d) = -4 + 5*d + 4 + 48*d**2 - 3 + 8 - h*d**2. Suppose 0 = -w - w - 6. Let s(n) = 2*n**2 - 3*n - 3. What is w*f(l) - 5*s(l)?\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 534574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*4\/51)\/(22\/(-11)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73, -356, -851, -1558?\nAnswer: -2477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(13) - (sqrt(130) + -1*sqrt(130) + sqrt(130) + sqrt(130))\/sqrt(10)).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -827 (b) -4\/7 (c) -0.5 (d) -3\/4 (e) -0.3 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 23450 divided by -5\nAnswer: -4690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-195)\/(-12) - 4)*12?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -q**6\/120 - q**5\/30 + 1007*q**2. Let w(d) = d + 5. Let v be w(-5). What is g(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(28\/(-16))\/(-7))\/2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*s + 5. Let v be (s - 0)*(0 - -2). What is the units digit of (v\/5)\/((-6)\/(-75))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 39 = 2*r, 5*h = -26*r + 30*r - 33 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 605384294 at least 605384295?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 435825184*g. Let x(m) = -m**2. Determine s(x(u)).\nAnswer: -435825184*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (162\/(-48))\/(-9) - 18\/16. Let i = -0.158 - -0.058. Put i, -9, j in increasing order.\nAnswer: -9, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/2 - -2)*1. Suppose 3*s - 6*s - w = 0. Let a(k) = -8*k - 6. Let m(r) = r + 1. Let x(z) = s*a(z) - 6*m(z). Let o(h) = -4*h. Give o(x(d)).\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18*t**3 + 395*t**2 + 2*t - 84150 with respect to t.\nAnswer: -54*t**2 + 790*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s + 0*s - 2*s)*(2*s**2 - 2*s**2 - s**4) + (s - 2*s - s)*(-2*s**4 + 0*s + 0*s).\nAnswer: 2*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1*10.8\nAnswer: -10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + i = -16, -4*i + 31 = -2*r + 5. Let m be 2 + (2 - (-42)\/r). Suppose 3*c - 2 = -32. Is c <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1973984.7 seconds in minutes?\nAnswer: 32899.745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -168*j + 11692 - 25468 for j.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 6*u**2 + 6*u - 2. Let h(g) = -9*g**2 - 9*g + 3. Give -5*h(c) - 7*p(c).\nAnswer: 3*c**2 + 3*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 4, -15664.059, -0.3 in ascending order.\nAnswer: -15664.059, -0.3, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.21? (a) 0.2 (b) 4\/7 (c) -1\/7 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/3*102\/136?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 4*b + 5*m, 4*b = -2*m - 9 - 9 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 10 = -2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.801146 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 548*l - 328*l + 24*l**3 - 222*l + 23*l**2 + 4 to x + d*l + w*l**3 + z*l**2 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l - 3514. Let y(n) = 2*n**2. Calculate d(y(v)).\nAnswer: -2*v**2 - 3514","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 224, 842, 1460, 2078, 2696, 3314?\nAnswer: 3932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -594 + 180. Let a = 418 + i. Solve a*p - 24 = -8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -21 (b) 0.17 (c) -0.5 (d) -50 (e) 2\/7 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*h**2 + 40*h**2 + 43*h**2 - 156*h**2 + 42*h**2 + 4284 in the form k*h**2 + j*h + n and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 i when four letters picked without replacement from {h: 8, i: 4, b: 5}.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 198*g**4 - 2*g**3 - 1345 wrt g.\nAnswer: 792*g**3 - 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1708 by 3926.\nAnswer: 854\/1963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 573*h - 109443\/2 - 3\/2*h**2.\nAnswer: -3*(h - 191)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-16))\/((-5)\/(-2))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*g - 22100000 = -28*g. What is g rounded to the nearest 100000?\nAnswer: -11100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*a**2*v**4 - 395*a**2*v + 2*a**2 - 24745*v**4 + 285 wrt v.\nAnswer: 84*a**2*v**2 - 296940*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*r**2 - 99*r**2 + 51*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - p + 15. Suppose -42 = -4*a + h, p*a - 43 - 22 = -5*h. Suppose -1 - a = -3*f. Solve 3*l - f*l = -4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -827193.\nAnswer: 2481579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9594176*r**5 + 4552174*r wrt r?\nAnswer: -191883520*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9905454*d**3*g**3 - d**2*g**3 - 2*d**2*g**2 + 129*d**2 - d - 97*g**3 wrt d?\nAnswer: -59432724*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 7:38 AM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 70 = -53. Suppose -3*u + f = 4*c - 11, 0 = c - 2*u - 2. Calculate the least common multiple of 12 and c.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 581 (base 10) to base 15.\nAnswer: 28b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.71078 litres to millilitres.\nAnswer: 59710.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l*l**(-7)*l)**(5\/9) assuming l is positive.\nAnswer: l**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 736022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 23032230?\nAnswer: -23032221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, x: 1}. Give prob of sequence lxl.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 2*q + 4*r, -204 = -5*q - 2*r - 2*r. Is 35\/q*2*1676 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 38 - 35 = -3*z, -2*b = 5*z - 118. Is 25 > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20010 (base 5) to base 10.\nAnswer: -1255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(2\/17)*l**(-3\/2))\/(l\/(((l**8*l)\/l*l)\/l)*(l*l\/l**(1\/10))\/l) assuming l is positive.\nAnswer: l**(466\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 119\/4, -4\/11, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 12:05 PM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 9:09 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 31410, 31368, 31298, 31200?\n\"Answer: -14*m**2 + 31424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r**2 - r + 2. Let k(w) = -w**2 - w. Let x(n) = -b(n) + 2*k(n). Let y be x(2). Let i(s) = s - 1 - 2 + 0 - 4. Give i(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*s = -503, -2*n + 46*s = 47*s + 497. Let p = 253 + n. Solve 0 = -h - 2*h, 0 = 3*j + 2*h - p for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6708)\/1040)\/(-43)*180.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 1567*s + 1568*s + 7, r = 3*s + 19. Solve 2*x = -b - 2, x - b + 3 = -r for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 3*t - 23, 2*a + 4*t = 4*a - 58. Let y(x) = 8*x - 17. Is y(a) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83, 312, 693, 1226, 1911, 2748?\nAnswer: 3737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 0. Let d(j) = 30*j - 57. Let m be d(-12). Let p = 9589\/23 + m. Which is the closest to g? (a) p (b) -1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-10)\/(-66))\/(32\/(864\/27)))\/(15\/36)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 15 = -4*i. Let a(l) = 4*l + 5. Let n(o) = 3*o + 4. Determine i*n(m) + 4*a(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2432 and 1769489.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62 - 62 - 282*z - 103*z.\nAnswer: -385*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 204700 to the nearest 10000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/1*(-63)\/18. Let t = 213 + f. Is t a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 143, 8, -5 in descending order.\nAnswer: 143, 8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22 or -83942?\nAnswer: -83942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2. Let h(z) = 4248 + 115*z**2 - 61*z**2 - 4248 + 121*z**2. Determine h(a(o)).\nAnswer: 175*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 4*p**2 - p + 2. What is d(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 14. Let f = t + 10.236. Let i = f + -0.236202. Round i to five decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/4 of a minute?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2976959 and 497.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r + 15. Let k be v(13). Let j be 2\/6 - (-7 + (-1480)\/(-30)). Put k, 1, -3, j in decreasing order.\nAnswer: k, 1, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, 1, 0.04, 0.3, 0.5, 2, -5.08?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 2*z - 434997 = 5*z, 4*z = 4*m - 347996. Round m to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a kilogram in milligrams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 27, 55, 87, 123?\n\"Answer: 2*q**2 + 22*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of (-36)\/(-5)*(377 + 83)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -726716, -726711, -726700, -726683, -726660?\n\"Answer: 3*d**2 - 4*d - 726715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1717364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -271907848.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 784564 (base 9) to base 5.\nAnswer: 110003320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -50? (a) 73 (b) -2\/9 (c) 2 (d) -34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86984858?\nAnswer: 2, 43492429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Is -4464 <= -5197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 64279392451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-1)*(-4 - 3). Let c = -13 - a. What is the remainder when 28 is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112)*2*3 + sqrt(112) - sqrt(112) - sqrt(112))\/sqrt(4))\/(sqrt(512)\/sqrt(8) + sqrt(32)\/(sqrt(8) - (sqrt(8) + 1*sqrt(8)))) + 3.\nAnswer: 3 + 5*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -62*p - 2. Let x be l(2). Let z(w) = 256*w**2 + 9*w - 1. Let h be z(-1). Let b = x + h. Does 18 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 4 = -6*j. Let q be 1 + (3 + 5)\/j. Put q, -5, 1 in ascending order.\nAnswer: -5, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*a - 34*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/18 - 1410\/(-36).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 7 = -3*h, -4*q + h - 7 = -24. Let u be q\/(1\/(-6)*-3). What is the remainder when 17 is divided by u + 3*1\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 58 - 17*n**2 - 58 as z*n + s*n**2 + x and give s.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*x - x. Let s be (-6 - -2)\/(1\/x). Calculate the smallest common multiple of 6 and ((-6)\/s)\/(1\/(-16)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + 5 + sqrt(162) + sqrt(2) + 0 + sqrt(12)\/(sqrt(6)*4 + sqrt(6) + sqrt(6) - sqrt(6))*-4.\nAnswer: 5 + 51*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y - 3. Let x be g(3). Let j = 284 + -279. Suppose i = x + j. Calculate the remainder when 30 is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -38111 - -2?\nAnswer: -38108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j\/(j\/(j*(j\/(j*j\/(j*j**(4\/9)*j)))\/j)*j))*j\/(j*j\/(j*j**4))*(j*j\/(j**14\/j))\/j**(1\/15) assuming j is positive.\nAnswer: j**(-293\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/49 and -17\/203.\nAnswer: 1421","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 4*y - 8. Let o be t(-6). Let x(k) = 6*k - 2 - 15*k**3 + 1 + 31*k**3 - 17*k**3 + 3*k**2. Calculate the least common multiple of x(o) and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 617\/5 + -123. Let r = 143.8 + -144.3. Which is the closest to w? (a) 8 (b) r (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hldt when four letters picked without replacement from {d: 2, l: 1, s: 2, h: 12, e: 1, t: 2}.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttqt when four letters picked without replacement from {q: 6, t: 7}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 10:10 AM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2817 = -256*t - 1660 - 5507 for t.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -732 = 57*i - 61*i. What is the greatest common divisor of 6 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4.2 and 42.\nAnswer: 37.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32645 by 12.\nAnswer: 32645\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 53430258 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1674 and 18?\nAnswer: 1674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 108194551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9, 5, 0.2, -2\/7, 7664, 3?\nAnswer: 7664","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2349, 4744, 7135, 9522, 11905?\nAnswer: 14284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 294 = 4*m. Find the common denominator of m and -2 - ((-2)\/(-1) + (-92)\/10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jrj when three letters picked without replacement from jjeerebeeejbbj?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 185 + -177. Let g(x) = x**2 - 10*x + 9. Give g(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/77415321 and -19\/246.\nAnswer: 6348056322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5614, 5607, 5598, 5587, 5574, 5559, 5542?\n\"Answer: -s**2 - 4*s + 5619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 167 * -0.3\nAnswer: -50.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 60 = -5*a + 50, -u + 3*a + 38 = 0. What is the highest common factor of u and 273?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 - 43. Put 5, 3\/5, d in descending order.\nAnswer: 5, d, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3 - 3. Let m = -56 + 59. Let t(d) = d + 7. Let o be t(-6). Sort o, w, m in ascending order.\nAnswer: w, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 6*u - 11. Suppose -4*n - 3*g = -20, u = -n + 3*g - 9. Solve -n*c + 0*d - 8 = -d, 5*c - d + 23 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3838117 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 153*t**5 - 3490*t**4 - 672712*t**2 + 3*t - 113 wrt t?\nAnswer: 9180*t**2 - 83760*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10, 35, 72, 121, 182, 255?\n\"Answer: 6*l**2 + 7*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 + 17 + 10*a**2 + 17.\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w - 3. Let c be j(-1). Let q be (-21)\/(-28)*(c\/(-3) - 1). Let d = 697 - 13245\/19. Sort 1, q, 1\/6, d in decreasing order.\nAnswer: 1, q, 1\/6, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -55d7a - -1?\nAnswer: -55d79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5325, 8869, 12409, 15945?\n\"Answer: -2*c**2 + 3550*c + 1777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f + 2*f**3 + 3*f + 2*f + 5*f**2 + 0*f**2 to b*f + v*f**2 + w + t*f**3 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/35 (b) -0.3 (c) 0.5 (d) -0.1 (e) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-93)\/((22\/12)\/(539\/(-441)))\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 0.93935.\nAnswer: 0.469675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -631344 or -631599?\nAnswer: -631599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 3*r + 1. Let q(y) = -y + 3. Suppose 0 = 5*u - 10*u + 25. Let i be q(u). Calculate p(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -2*t - 7*k - 4, 4*k + 2 = -t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -57 (b) 0 (c) 573\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**5 - 3*l**2 - 66*l + 2. Let n(i) = -i**5 + i**2 + i - 1. Let r(k) = 2*n(k) + s(k). Find the second derivative of r(c) wrt c.\nAnswer: -60*c**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 180 + -173. What is the least common multiple of b and 11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooixxoxxx. What is prob of picking 1 o, 2 x, and 1 i?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 r when three letters picked without replacement from {r: 7, k: 9}?\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/28813830 and 53\/12.\nAnswer: 57627660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + s + 299. Let v be (1 + 5\/(-4))*0. What is the hundreds digit of x(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251*k - 35640 = 229*k. Is k less than or equal to 1620?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 0 + 0)*(-2*s - 11*s - 2 + 9*s).\nAnswer: -8*s**2 - 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 3*g - 21, 5*g - 16 = 2*v + 3. Solve 0 = -4*u - v*m - 2, 6*m = -3*u + 7*m - 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -977 + 2180. Does 19 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2363*g**3 - 2369*g**3 + 0*g**2 - 2495*g**3 + 7236*g**3 + 0*g**2.\nAnswer: 9*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 9*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 96263047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(1\/2))**36*((y*(y\/((y*(y**(4\/9)*y)\/y)\/y))\/y*y*y)\/y*y)\/y*y**6 assuming y is positive.\nAnswer: y**(230\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18811 and 3757?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 + 135*k - 460.\nAnswer: -5*(k - 23)*(k - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 32, 2\/1151, 6, -2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of 4*z**7\/105 - z**6\/24 - z**5\/20 - 14*z**2 + 17. Let o(b) be the second derivative of t(b). Factor o(x).\nAnswer: x**2*(x - 1)*(8*x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 113*z - 554 - 72 + 61 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xjxxxxjxxjj.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.07 and -294331.\nAnswer: -20603.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (7 - (19 + 2)))*(-34)\/3?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 586 divided by 25.\nAnswer: 586\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -38 (b) 25805.6 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 469369 + -243195. Suppose -49841 = -3*t - 3*o + b, 5*o = -2*t + 184025. What is t rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4*d - 50. Let s be c(13). What is the second derivative of 3*r**5 - 9598*r**2 + 24*r + 18*r**3 + 9598*r**s wrt r?\nAnswer: 60*r**3 + 108*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 376\/1394317?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1113 (base 4) to base 11\nAnswer: 7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1089 is divided by (4 + 70\/(-10))*-28?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -2*j - 18, 8 = -42*i + 60*i + 4*j - 0*j for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 184*y. Let s be r(1). Suppose -2*j - 20 + 84 = 0. Suppose -3*h - 2*a + 73 = 0, -a - j - 12 = -2*h. What is the greatest common factor of s and h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 33 (b) 3 (c) -0.1 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, -275, -5, 3, -3, 14 in increasing order.\nAnswer: -275, -5, -3, 3, 14, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t - 11. Let s(g) = -3*g + 12. Let o(x) = 3*s(x) + 4*v(x). Let r be o(6). Suppose 8 + r = u. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -7, 5, 28\/11, 620.21?\nAnswer: 28\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 - 13*i**2 + 5*i**2 as j + a*i**2 + k*i and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and 29009.438.\nAnswer: 29004.438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**4 - 1017007*a**3*z**2 - 9399079*z**2 wrt a.\nAnswer: 8*a**3 - 3051021*a**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9212, 36819, 82830, 147245, 230064?\nAnswer: 331287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 35*w**2 - 2*w + 39. Let p be x(35). Suppose -3*h - 45 = -4*h. Let j = h + p. What is the remainder when 67 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**5 - 4728*v**4.\nAnswer: -4*v**4*(v + 1182)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 432460351?\nAnswer: 653, 662267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qwbywoodbyow. Give prob of picking 1 b and 1 q.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(450) - sqrt(450)*2)*1)\/(sqrt(567)\/sqrt(7)).\nAnswer: -5*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of 1\/6*y**3 - 7\/2*y**2 + 13 + 2*y. What is a(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (65 - 58) + (-55 - -4) + (5 - 0 - -1).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + 3*v + 60. Let x be k(0). Suppose -2*u - 4*u = x. Let o be 44\/(-55) + (-18)\/u. Is 2\/27 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -22, -464, 771, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, k: 1, f: 1, q: 1, l: 1}. Give prob of picking 1 d and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-26)\/(-4) - (-7)\/14. Let p be (-4)\/6 - 26\/(-3). Suppose 0 = 2*s + p, n = -0*g - g - 2*s. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ulwx when four letters picked without replacement from {l: 1, t: 2, x: 4, u: 6, w: 2}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 z when three letters picked without replacement from zzszss?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*s + 11*s - 12*s)*(2 - 4 + 1)*(2 + 1 + 3)*(-4 + 0 + 2).\nAnswer: 120*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 413141058 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 37283\/(-14) - (8 - 7). Let b = -2667 - u. Calculate the common denominator of -21\/16 and b.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2018, -2023, -2030, -2039?\n\"Answer: -y**2 - 2*y - 2015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -17*i**2 - 3*i. Let g be r(1). Is 4\/g - (-2542)\/10 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 81 = -9. Let q be 16\/6 + (-20)\/g. Solve -q*l - 4 = 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 < -3950\/187?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, m: 1, s: 1, g: 7, f: 3, n: 7}. What is prob of sequence nmsg?\nAnswer: 49\/116280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -26*d - 1076. What is f(-41)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -21. Find the common denominator of ((-114)\/j)\/(-1 - 35\/(-25)) and -3 + (3 - 46\/20).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84\/2*-1*275\/(87450\/(-212))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.898921 weeks in hours?\nAnswer: 991.018728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - w**2 - w. Let s(n) be the second derivative of 1\/3*n**4 + 0 - 17*n + 0*n**2 - 1\/10*n**5 + 1\/2*n**3. Let g(d) = -s(d) - 3*t(d). What is g(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -609 - -298. Let h = -242 + i. What is h rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 0*k**3 + 245*k**2 - 11 + 249*k**2 - 510*k**2 + k**3 - 2*k**3. Calculate i(-16).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/((-1*2)\/2). Suppose -5*v - 18 = 2*s - 2*v, 8 = -2*s + 2*v. Let h be 1\/(-3) - 32\/s. Sort 0, h, d in ascending order.\nAnswer: d, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/8449 + 904063\/168980. What is the common denominator of -1*(-869)\/132 - (0 + 0) and o?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 82017 by -27339.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 9*q + 8. Let f be x(9). Let s(z) be the first derivative of 4*z + f*z**2 - 10*z - 2*z + 15. What is the derivative of s(p) wrt p?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-15)*l\/((l*l*l*l*l\/(l**(-14)\/l)*l*l)\/l*l))\/((l\/l**(-3))\/(l*l**(2\/15))) assuming l is positive.\nAnswer: l**(-583\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -720*x = -702*x - 2*l - 38, -4*l - 37 = 3*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1894364663.\nAnswer: 23, 82363681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3284536 or 3284544?\nAnswer: 3284544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.069 + -0.069000076. What is b rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/5031 and -24\/3913?\nAnswer: 35217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.9 times 879?\nAnswer: 49136.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 4*c**2 - 6*c - 2. Let a(j) = j - 47. Let d be a(42). What is u(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 - -20. Let v = 0 - h. Let u be 8\/2 + -2 + v. Solve -s + u = 0, 3*s + 14 = 4*g + s for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c = 12*c - 42 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**3\/4 - 203665*b**2\/4 + b\/4 + 203665\/4 = 0. What is b?\nAnswer: -203665, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 6*c**3 + 265*c**2 + 46*c + 44. What is x(-44)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7849579 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -64*l + 1980. Let i be u(32). Is -756\/11 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/12 - 34\/(-8). Suppose 3*g - z = 8, -2 = -0*g + r*g + 5*z. Solve g*h = -0*h - 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3108030923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 0.1. Let o = 0.13 - -0.57. Let l = 0.3 - o. What is the closest to 0 in a, -2\/7, l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-4) + 50\/20. Suppose -4*i = d*m - 350, -157 = -2*i + 6*m - m. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -5*g**3 - 3. Let x(j) = 7*j**3 - 2*j**2 + 2*j + 6. Let i(p) = p**3 - p**2 + p + 2. Let l(y) = -2*i(y) + x(y). Determine -2*b(c) - 3*l(c).\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 11*w + 2. Let q be m(-5). Let c = 59 + q. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 901 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -427302.9 - 10748660\nAnswer: -11175962.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -40 - 75. Let q = 7 + u. Let z = 20 + q. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l + l + 7*l**2 - 8*l**2. Let w(o) = -2*o**2 + o**2 + 7*o**2 + o**2. Calculate w(k(q)).\nAnswer: 7*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-412)\/(-40) - 10)*5\/(-6). Which is the closest to 0? (a) 0.3 (b) -1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + (-19 - -7 - 3) + 50?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -6*l**3 - 3*l**2. List the prime factors of v(-3).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5701 (base 10) to base 15\nAnswer: -1a51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1764, 4188, 8222, 13866, 21120, 29984, 40458?\n\"Answer: 805*s**2 + 9*s + 950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64 and 96?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 10*g - 12. Let d be y(-4). What is d rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*h - 105 = 0, 36 = 3*z - 2*z - 4*h. Suppose 35 - 38 = -3*r, -2*j + 5*r = -115. Calculate the highest common factor of z and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -7*z**5\/60 + z**4\/24 - 3*z**3\/2 - 7*z**2 + 13*z. Let k be h(-4). Is -125 smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, 11, 4, -0.5, -0.03 in decreasing order.\nAnswer: 11, 4, -0.03, -0.07, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -728 - 4*t + 0*t + 728.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 40*f**3 - 35*f**2 - 8*f + 8. Let w(q) = 27*q**3 - 24*q**2 - 5*q + 5. Let b(p) = 5*a(p) - 8*w(p). Let y(c) = -5*c**3 + 6*c**2. Give -6*b(x) + 17*y(x).\nAnswer: 11*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2933*l - 7336. Determine k(3).\nAnswer: 1463","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.07 + -0.07. Let d = -1.49 - -7.99. Let j = z - d. What is the nearest to 0.1 in -3, j, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 4*s**2 - 45*s - 211. What is b(-9)?\nAnswer: 599","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 7. Suppose -c*j - k = -52, -j + 18 = -k - 0*k. Suppose 5*n = 4*n - 5*v + 68, -136 = -2*n - 2*v. What is the remainder when n is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, w: 2, u: 1, o: 1, j: 1, k: 1}. Give prob of sequence yw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 7*t**2 + t + 8. Suppose 2*y + 6 = -4*h, h - 4*y - 7 = 5. Let i(w) = w**3 - w**2 + w + 7. Let b be i(h). What is the tens digit of g(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -90879665 + 90879665 + 13725*k as y + r*k and give r.\nAnswer: 13725","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-16 - (0 + (-9 - 0))) + 4 - 18.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -0.24512236\nAnswer: 0.024512236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*a + 2 + 6, 4*w - a = 19. Suppose 0 = -5*x - 2*n + 111, x + 2*n + 9 = 28. Calculate the remainder when x is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-76)\/28 + (9 - (-5 + 59)\/9).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39488*r - 39463*r - 3*h = -128, -5*r = 4*h + 21 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -345\/2 + 173. Let s(a) be the second derivative of 1\/6*a**3 + m*a**2 + 0 + 4*a. Determine s(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -8. Let r(y) = y**3 - 4*y**2 + 4*y + 1. Let t be r(3). Suppose t*s - 2*x - 78 = -7*x, a*x = -8. Is 11 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 125 and 76625.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0811 and 83.28?\nAnswer: 83.3611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jznj when four letters picked without replacement from njnjznnjjjnnznjnnj?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u - 27 = -16*u. Let p be ((-12)\/u)\/((-1)\/(-234225)*-3). What is p rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of -5 - (-5 + 607)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/((-456)\/437)*((-12)\/((-12)\/(-3)))\/1?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000072867 rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 37*j. Let y(i) be the first derivative of i**2\/2 + 18. Calculate u(y(d)).\nAnswer: 37*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oss when three letters picked without replacement from {o: 4, s: 6}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -19*t - 44. Let k be i(-17). Let x = k + -276. Let f = -1 + -4. What is the nearest to 0 in f, 2\/3, x?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86334015 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2548437182 to the nearest integer?\nAnswer: 50482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w - 9*w + 5*w)*(3*w + 12*w + w)*(1 - 1 - 1) as r*w**2 + x*w + q and give r.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15\/86 in -0.2, 2, 1, -2, 2.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 1:35 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 z when three letters picked without replacement from {v: 6, z: 12, s: 1}.\nAnswer: 60\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 7*u**2 + u - 2. Let o(s) = 2*s**3 - 14*s**2 - s + 4. Let k(n) = -5*g(n) - 2*o(n). Let h be k(7). Which is smaller: -18 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7056 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43799*b**2*k**2*m**3 - 330*b**2*k**2 + 2*b**2*k + 3*b*k**2*m + b*k**2 + 41*b*k - 11*k**2*m**3 + k**2*m + 2*k*m wrt m.\nAnswer: 262794*b**2*k**2*m - 66*k**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n - 26. Suppose -3*a - 15 = 3*i, 3*i - 6 = 2*a + 4. Let f be r(i). Let p = -13 - f. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -9.5965.\nAnswer: -19.193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*j + 1. Solve 2*u + 0*u - 16 = 5*w, -j*u - w = -13 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49518.\nAnswer: 2, 3, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.42413 and 0.1?\nAnswer: -0.142413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2663969 - -4113154. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-9)\/(-24))\/(18\/40))\/((-60)\/(-80))?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - g - 2)*(-7 + 3 - 8).\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/sqrt(4) + 3 + 0.\nAnswer: 3 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**5 + 0*b**5 + 3*b**5)*(214 + 203 - 15 + 15).\nAnswer: 417*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 12 = -5*q, 12 = 47*q - 45*q + 3*z for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i + 5. Let h be u(6). Let z(t) be the first derivative of t**3\/3 + 3*t**2\/2 - 2*t + 3. Let g be z(-3). Which is bigger: g or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 902 - 571. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 5:13 AM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -200 + 88. Is -113 greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -150619*o - 1355517. Calculate r(-9).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64)\/(-70)*4295\/(-3436)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*v + 2282 = -1309 for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26523654 and 4348140?\nAnswer: 265236540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o = 4*o + 5040. Let s = o + 382. Calculate the remainder when 1\/2 + (-166)\/(-4) is divided by s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 50*z + 1346. What is the hundreds digit of u(-34)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-9\/4)*q*q)*q)**(1\/25)*((q**(-1\/20)*q)\/q)**(-5\/3) assuming q is positive.\nAnswer: q**(13\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17243912?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 721499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**3 + n + 1. Let j(v) = -18*v**3 - 6*v**2 - 8*v. Let c(x) = -8*a(x) - j(x). Find p such that c(p) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 2892168?\nAnswer: 14460840","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 1:10 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050 a factor of 51975000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1632 and 162.\nAnswer: 44064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 - 4\/6*-282. Suppose -1045 = -5*l + 2*w, -l + k + 9 = -2*w. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1920033 + -295783. Round c to the nearest ten thousand.\nAnswer: 1620000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -36*t - 30. Determine a(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 10:04 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 - 174976*k**2 + 1913537536*k.\nAnswer: 4*k*(k - 21872)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20766734 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*m + m + 64 = -0*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 6 = 18 - 4, -4*o + y + 10 = -5*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a minute in seconds?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert bc5 (base 15) to base 10.\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 756 and 1820502.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 11:57 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6720525 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i**2 - 120*i + 115. Let j be n(29). What is the closest to j in 0, 0.09, 1\/8, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47634 is divided by 350.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 4*c**3 + c**2 - 9*c. Let z = 115 - 120. Let j(u) = 3*u**3 + u**2 - 6*u. Give z*w(n) + 7*j(n).\nAnswer: n**3 + 2*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -977 times 0.28\nAnswer: -273.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1591126.\nAnswer: 2, 131, 6073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 922*x**4\/5 - 22132*x**3\/5 + 124566*x**2\/5 - 103804*x\/5 + 448\/5 = 0.\nAnswer: 2\/461, 1, 7, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9991442947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 0, 5*y - 2*y - 5*c = 732. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4116 and 737436.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8427, -8466, -8531, -8622, -8739, -8882?\nAnswer: -9051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m - 3. Let c be j(-5). Let s(z) = 0*z + 22 + c*z**2 - z**2 - 31 + 6*z. Is s(-8) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 + 172*x.\nAnswer: -2*x*(x - 86)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1587049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6485 (base 9) to base 3\nAnswer: 20112212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2328 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2116 - -620004?\nAnswer: 615666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x**3 - 4*x**3 - 4*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 5\/((-45)\/24))*2.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 493571531 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {y: 3, k: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 35*r + 5. Let p = -61 - -64. List the prime factors of c(p).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 608365 and 571835?\nAnswer: 1405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, g: 2, v: 2, j: 2, z: 3, l: 4}. What is prob of sequence lg?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2557968520 rounded to the nearest 100000?\nAnswer: 2558000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of 1\/18*x**5 + 0*x + 27*x**2 + 1\/180*x**6 + 0 + 0*x**3 + 1\/6*x**4. Solve h(b) = 0 for b.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(-15)*9 - 1. Solve -t + 11 = v*a + 4*t, 18 = -3*a + 4*t for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 421, 0.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*j**4 + 444696*j**3 + 8575562*j**2 + 30900896*j + 31215990 = 0. Calculate j.\nAnswer: -6157, -15, -13\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -126 - -126.0204. Round w to three dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13444423121 + -12?\nAnswer: -13444423133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1064 + -15967\/15. Find the common denominator of d and 1\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -20. Suppose 0 = 5*h - 2*h. Suppose 3*t = 5*u + 10 + 30, 4*t + 4*u = h. Calculate the smallest common multiple of s and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -655, -1307, -1961, -2611, -3251, -3875, -4477, -5051?\n\"Answer: b**3 - 7*b**2 - 638*b - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4572717 is divided by 80.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = a. Suppose -6*m + 18 + 462 = a. Suppose 2*c + 206 = 3*c - 3*h, -3*h - 6 = 0. What is the greatest common divisor of m and c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(5\/4)*p**(-1)*p*p**11\/p*p**(12\/11))**(2\/113) assuming p is positive.\nAnswer: p**(543\/2486)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57 + 20. Let b = 1398 - 1462. Let d = b + h. Is d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*d**3*j**3 - 9*d**3*j + 2*d**3 - d*j**3 + 5*d*j**2 - 10*j**3 wrt d?\nAnswer: -36*d*j**3 - 54*d*j + 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/((0 + -1)*2). Suppose 6*s = 2*s - 32. Let w be ((-1)\/(-2))\/(60\/s). Which is bigger: w or x?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10330 a factor of 2175167440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -5*f**3 - 3*f**2 - 3*f - 3. Let s(n) = -6*n**3 - 4*n**2 - 4*n - 4. Let k = 11 - 8. Let u(o) = k*s(o) - 4*c(o). Find q, given that u(q) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 - p**2 + 3*p**2 + (-p - 2*p + 5*p)*(15*p + 3*p + 2*p))*(-p**3 + 3*p**3 + 0*p**3).\nAnswer: 88*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -78039798 by -97.\nAnswer: 804534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (242\/847)\/((-7)\/182)*(-7)\/(-10)?\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 383cb (base 13) in base 3?\nAnswer: 12021120101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-104 + 104 - 95*d)*(1 + 0 + 6 + (0 - 5 + 4)*(-1 + 2 + 0)).\nAnswer: -570*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 38 + 62. What is the common denominator of (12285\/(-5850))\/(8\/15) and -2 + -1 + (-49)\/b?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7\/1917 + 103385\/36423. Let f = c - 632\/209. Let n = 137 - 137.4. What is the biggest value in f, n, -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01793348 rounded to 5 dps?\nAnswer: -0.01793","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 y when three letters picked without replacement from hhhhhhhhyhhhhhyy?\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69493 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 15, s: 3}. Give prob of sequence cc.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1830 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 0.017 (c) -5 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1863429715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p + 12. What is u(-22)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-11))**(1\/27)\/(z\/(((z**(-14\/5)\/z)\/z)\/z)*z**25))**42 assuming z is positive.\nAnswer: z**(-60872\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + -21. Let x = -52 - -57. Which is the third biggest value? (a) l (b) x (c) 0.3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/22868934 and 67\/16631952.\nAnswer: 182951472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6a - 2917?\nAnswer: -2858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16419764 or -16419763?\nAnswer: -16419763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uxuxxvugvuvu. What is prob of picking 1 u and 1 g?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/69225 and 49\/138450.\nAnswer: 138450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4323, 15, 2, 83 in decreasing order.\nAnswer: 83, 15, 2, -4323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/1*-1 + 7. Suppose -3*p + 2 = 5. Let f be -2 + ((-2)\/p - 0). Solve -3*o + f = w for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + -5*sqrt(133)*2)\/(sqrt(7) - 2*sqrt(252)).\nAnswer: 9*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 17955?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210 + 12?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c + 6*c - 628*c**2 - c + 0*c.\nAnswer: -628*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d - 100 - 24 - 14*d + 2.\nAnswer: -20*d - 122","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 6*t - 7 = -q + 20, 4 - 14 = -2*t for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 863 + 4412. Is r a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/17598 and -27\/22.\nAnswer: 193578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.8 - 0.3. Let k = -267 + 256. Let d = o + k. Which is the closest to 0.1? (a) 2 (b) -5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -74634 - -74634.0000030483. What is g rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 + 0.2. Let m = -18.294 + 0.394. Let x = m - -17.5. What is the nearest to z in 0.2, x, -0.7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 71 - 67.9. Let l = -3.09956 + d. What is l rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -z**4\/12 + 2*z. Let d(y) = y - 6 + 6. Determine d(s(v)).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 847, 2078, 3711, 5746, 8183?\nAnswer: 11022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**(-1\/4)*j)\/j)\/j*j)**(-5\/3))**(-49)*j**(-2\/9)\/((j**(-2\/7)*j)\/j)*j\/(j*j\/j**(-4)*j)*j**1 assuming j is positive.\nAnswer: j**(-6389\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 852060127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5481 + -5480.99983198. Round u to five dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -9. Suppose -6*q = -y*q - 2*s - 16, -s + 12 = 4*q. Solve 0 = 2*l + 6 + q for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8664, 11062, 13456, 15846, 18232, 20614?\n\"Answer: -2*v**2 + 2404*v + 6262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48\/11 and 8\/727?\nAnswer: 7997","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g + 1. Let j(d) = -d - 11. Let s be j(-7). Let u be v(s). Suppose -q = u - 16. Calculate the highest common factor of q and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15990 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 65 + (-3 + 1 - -3). What is the greatest common factor of 6 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -h**6\/120 + h**5\/15 + h**4\/12 + h**3 - 13*h**2\/2 - 18*h + 2. Let n(a) be the first derivative of g(a). Give n(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 1787?\nAnswer: -4\/1787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 27183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 755512?\nAnswer: 2, 94439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11786 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 127 = -338. Let y be (-8)\/(-44) + z\/33. Solve k - y = -5 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 27 = 7*k. Suppose k*t + 460000 = 4*t. What is t rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -2*p + 292, -p + 2 = 3*w - 174. Let q be (-64)\/48*w\/(-16). Solve 0 = q*a + 47 - 52 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0038512845 to five decimal places.\nAnswer: -0.00385","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppqnnsznznpznn. What is prob of picking 1 s and 3 n?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/12 in 1\/3, -1\/5, 0.4, 0.2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 2:28 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5914 greater than 5915?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 12244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 81*q - 157. What is m(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/7 (b) 43 (c) -6\/11 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -l. Suppose l = -4*x + x. Let f be x + (-120)\/(4\/(-2)). What is the greatest common factor of f and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11024030.02 and -0.309.\nAnswer: -11024030.329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - q**2 + q. Let o(t) = 7*t**3 + 3*t**2 - 2*t - 3. Let p(a) = 6*j(a) + o(a). Give p(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112 = 108*t - 104*t + 3*l, -2*t - 6*l - 156 = -2*l for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1861*f - 280 + 5276 + 19918 = 721 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 + -21. Let w = k + -4. Let s(v) = w*v + 3 - 4 - v - v**2. Let a(h) = 5*h**2 - 6*h + 6. Determine -2*a(z) - 11*s(z).\nAnswer: z**2 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 5)*(-3*j + 4*j + 2*j) - 100*j + 2033*j + 1924*j.\nAnswer: 3863*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 y, and 1 p when three letters picked without replacement from fkfkyyfpyfskyf.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -5*z**2 + 3*z. Let w be y(1). Let d be w\/(-4)*-2 - -9. Is 2512\/6 + d\/24 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 244376417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4*(-4 - -3))\/1. Let f = x - -6. What is the third biggest value in f, 2\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 + 33. Does 13 divide (-3)\/b + (-771)\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*k**3 + 3*k**2 - 3*k**2)*(4 - 2 + 1)*(k - 6*k + 3*k).\nAnswer: -42*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x + 1924 = 854 + 890 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -191 divided by -5\nAnswer: 191\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 6*b - 2. What is the remainder when t(3) is divided by 2\/(-3) + (-100)\/(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -3*q - 4*m + 15, -4*m = q - 13. Let y(w) = -6*w + 4 + 0*w**2 - 3 - w**2 - 7. Let l be y(-5). Which is the closest to l? (a) 4\/9 (b) 0 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyyyyyyyiyyyyiyi. What is prob of picking 3 y?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 363*s + 1702. What is the hundreds digit of j(22)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -434*c + 411*c. Solve 0 = -5*l - 2*v + 1 + 9, -5*v = c*l + 17 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1147 and 259.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**2 - 528723*b + 2114844 = 0.\nAnswer: 4, 176237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 196*m = 198*m + 8616, -6*c + 5*m = -25852. What is the thousands digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/2*o**2 + 0*o + 17\/4*o**3 + 0 + 7*o**4 + 13\/4*o**5 = 0.\nAnswer: -1, -2\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11795*b**4 - 460*b**3 - 41254811*b**2 wrt b?\nAnswer: 283080*b - 2760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1942*s + 16169.\nAnswer: 1942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 10 = 5*d - 3*j, 3 = 4*d + 3*j. Suppose d = -8*x + 2*x + 36. Suppose -5*p + x*p - 1 = -q, 2*q = 2*p + 18. Solve -3 = u, 0 = t - 5*u - q - 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 70 or -3.1?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45000 divided by 15000.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-34)\/(-9) + 45936\/37584. Factor 7\/2*o + o**3 - o**4 + 4*o**2 + 1 - 1\/2*o**h.\nAnswer: -(o - 2)*(o + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*k + 40. Find the common denominator of -29\/2 and k\/2 + (-77)\/(-56).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/5*(-5)\/2. Suppose 0 = -3*f + q*f + 23. Solve y - 15 = 3*j, -2*y + y + 5*j + f = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4076 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 170\/35 + -32 + 27?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*v = 71*v + 251*v - 3296 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/540*118 - -1. Let o = h - 173\/27. Find the common denominator of -57\/8 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 + 14 = -25*m. Solve -m*u = f - 7*u - 7, 3*f + 13 = -2*u for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 203 + -95. Let j = p - 64. Does 14 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 0 + 1 + 1)*(1 - 58 - 95)*(-4*m - 4*m + 3*m).\nAnswer: 1520*m**2 + 1520*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 182*a + 185*a + 8, 2*s - 3*a - 4 = 0. Solve 0*q + s*q = -2*b, 2*q + 5*b = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 3*d - 7 + 124, -2*d = y - 22. Let v be (-9)\/(54\/16)*-3. Calculate the greatest common factor of v and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o**2\/3 + 1959472*o = 0. Calculate o.\nAnswer: -5878416, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10385?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*a - 29*a. Is a < 4\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express a**2 - a**2 - 1 - 8*a + 2*a**4 + 10*a as o*a + h*a**4 + n*a**2 + x + z*a**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0.918 (b) -5 (c) -0.2 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/5 + (((-930)\/124)\/(-15))\/((-95)\/(-18))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/207 and -64\/63?\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -40\/7 (b) -0.2 (c) -0.627 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3*(-2*(1 + sqrt(75))*4 + -2 + 2))**2.\nAnswer: 28800*sqrt(3) + 218880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 87357775 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 69 in 34, -2\/3, 2, 296, 0.1?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/21)\/(a\/a**(-1\/27)*a))**(-12) assuming a is positive.\nAnswer: a**(1468\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 439\/6 - 73. Let w(i) be the second derivative of -1\/3*i**3 + 0*i**2 + 0 - l*i**4 - i. What is the second derivative of w(y) wrt y?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 648\/(-144)*136\/18.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eaaaqqqaadzqqtzqqzzd. What is prob of sequence zqt?\nAnswer: 7\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 7. Is q a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*f - 6*f**3 - 4*f**2 + 29*f**2 - 40 + f**3.\nAnswer: -5*(f - 4)*(f - 2)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.449572 and -56655.\nAnswer: -56654.550428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*b**5*s**2 + 27*b**2*s**2 + 12*b**2*s - 2*b*s**2 - 177*b*s - b + 6*s**2 wrt b.\nAnswer: 140*b**3*s**2 + 54*s**2 + 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 85217 and 2933700.\nAnswer: 1397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-187)\/44)\/(339\/12). Which is smaller: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 9:43 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 + (48 - 52 - 1741*-1) a multiple of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15297, 15372, 15447, 15522, 15597?\nAnswer: 15672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3982 (base 14) to base 9\nAnswer: 14773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -18*t**2 + 47*t - 48. Calculate n(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 8 - -7 - (-1 + (-4 - -4))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2594?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yhh when three letters picked without replacement from nkkqkhohkyyykhyhkknn?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 + 11*m + 11. Let h = 511 - 280. Let p be -5 - h\/(-44) - 34\/8. Let y(r) = 5*r - 2*r**2 + r**2 + 2*r**2 + 5. Determine p*b(c) + 9*y(c).\nAnswer: c**2 + c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -135\/4*t**2 - 3\/4 - 69\/2*t.\nAnswer: -3*(t + 1)*(45*t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-12)*246\/(-205).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of b**4\/2 + 10*b**3\/3 + 4*b**2 + 9*b + 3317. Calculate v(-6).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 128*k**3 - 122*k**3 + 360 + 265 + 3*k**2 - 153 in the form d*k**3 + v*k**2 + z*k + b and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2293*f**2. Let s(w) = 2*w. Calculate s(n(q)).\nAnswer: 4586*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221 + 61 + 62 + 71 - 3*c.\nAnswer: -3*c - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 369 is divided by 214?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2534 is divided by 504.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 338223*d**2 + 296600*d**2 - 129459*d**2 - 31010*d**2.\nAnswer: 474354*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 128 divided by -64\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 5:05 AM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 223?\nAnswer: -2\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a day in minutes?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/4 and 7\/2047.\nAnswer: 8188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2419?\nAnswer: 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k - 2. Let x be r(-7). Suppose x = 4*b - 3. Suppose 6*t - 80 = b*t. Is 10 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-96)\/16*2\/(-36).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000063876146 rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 4*g + 4, -4*g - 2*j + 5 = -3*g. Let d be (-3)\/g - (-536)\/8. What is the greatest common divisor of 8 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {q: 1, h: 5, g: 11}?\nAnswer: 33\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -694.9 or 1\/4?\nAnswer: -694.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 3, -3, -4.\nAnswer: -4, -3, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 17\/(-85) + 195\/(-25). Let r be (1*-1)\/((-3)\/24). Let p(g) = 0*g - 7 + 3 - r*g - g**2. What is p(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57430425 is divided by 2871521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 23435151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00024048 to five decimal places.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5 + 0.9. Let t be (-7)\/(-21)*(-2036)\/(-6). Let l = t + -113. Put -0.2, f, l in decreasing order.\nAnswer: f, l, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5194\/(-1)*(404 - 407)?\nAnswer: 2, 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -415174*m**4 - 34503 wrt m.\nAnswer: -1660696*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*d**2 + 0*d**2 - d**2 + 22*d**2 - 13*d**2.\nAnswer: 104*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 0.073, 2\/7, 0.02, -2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 607 and -0.4?\nAnswer: -242.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/252 and 58\/27.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-9)\/(-3))\/((-2)\/(-6)). Suppose -5825 = -b*m - 2090. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4) - sqrt(4)*3)*2 + sqrt(4))\/(sqrt(200)\/sqrt(4)).\nAnswer: -3*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 760541?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -2. Let l = -119\/4 - -30. Let r = -1.7 + 1.7. Which is the nearest to r? (a) l (b) 0 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 3879 + 2550. Suppose -2*v + 7*v + i = o, 1297 = 3*v - 5*i. List the prime factors of v.\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, 3\/5, -2\/4167, -2\/7 in increasing order.\nAnswer: -2\/7, -2\/17, -2\/4167, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 20 = 2*r. Suppose 5*c = -0*p - p + 5, r*p = c - 1. Suppose 0 = -2*g - 10, 5*i - 5*g = -p*i + 65. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -7. Let o = -23.01 + 0.01. Let i = s + o. Which is smaller: i or 0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -203 + -4112?\nAnswer: -4320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of -14*((-4 - -3) + 28008\/(-56))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -4*u + 172, -41 = -4*u + 4*k + 99. Suppose -14*w + 9*w = -50. Calculate the remainder when u is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -195 - -198. Let k be (7\/(-28))\/((-3)\/(-12)). Put -5, k, r, 2 in descending order.\nAnswer: r, 2, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -r + v, 3*r + 8*v - 5 + 27 = 4*v + 12 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/(-18))\/(3\/36))\/((-2)\/(-6)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/160 and 9\/116.\nAnswer: 4640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1331464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 93 = 4*c, -4*c = -2*c + 4*u - 52. Let k = 101 - c. Suppose 130 = 5*i - 3*g, -3*i - 3 = -g - k. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230954 is divided by 251?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/2 - 2029*l - 4059\/2.\nAnswer: (l - 4059)*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/3 + 14*o**2\/3 + 22*o\/3 + 10\/3.\nAnswer: 2*(o + 1)**2*(o + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n + 4. Suppose -4*z - z + 39 = -4*o, -3*z + 2*o + 25 = 0. Calculate u(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -6*i + 23. Let h be n(0). What is the third derivative of -46*t**2 - 2*t**3 + 55*t**2 + h*t**3 wrt t?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 5*u**2 - 2*u - 5. Let w be v(-5). Suppose 0 = -w*o - 0*o. Suppose o*q - 3*q = -120. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 18520734 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 5259 + 2*p - 2605 - 2580. Let a(m) = -m - 25. Determine 11*a(b) + 4*y(b).\nAnswer: -3*b + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u**3 + u**2 - u**3 - 4*u**2 + 3*u + 3 + 6*u**2. Suppose 52 = 2*g - 0*g. Let m(p) = 9*p**3 + 13*p**2 + 13*p + 13. Determine g*s(h) - 6*m(h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-68)\/(-510))\/((-4)\/(-30))*0\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/30)\/(5\/3 - 2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*j**2 - 9*j**2 + j**2 - 10*j**2.\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) 467 (c) 26 (d) 2.2 (e) 10\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -103 or -107?\nAnswer: -107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 - 35) + (10 - 3 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/9 - ((-2)\/(-16))\/(327\/(-13080)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3440063059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 84 - 81. Suppose 0 = -5*c - 2*t + 3990, -h*c = t - 2490 + 96. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1607121 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1937*i - 2286*i - 306*i - 1278*i.\nAnswer: -5807*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v. Let b(p) be the first derivative of 1246*p**3 - 1327. Give s(b(a)).\nAnswer: -3738*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 2*z + 14, 3*z = -20*x + 19*x + 13. Let q be (-3 + -1 + 0)\/(-1). Suppose d = -q + 9. Solve -4*l = d*p + 2 - 22, -x*l - 4 = -p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 13 = 2*q + o, -9 = -3*q + o. Suppose 0 = q*v - 4 - 4. Find the third derivative of -f**v + f**4 + 2*f**4 - f**4 - 2*f**2 wrt f.\nAnswer: 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-72)\/(-16) + (-6)\/4. Let b be (2\/(-24))\/(m + 21\/(-6)). Which is smaller: b or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266*k**3 - 1 - 99*k**3 - 93*k**3 - 89*k**3.\nAnswer: -15*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-18)\/(t**(3\/2)\/t))**(-21))**41)**(-48) assuming t is positive.\nAnswer: t**(-764568)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.2 + -87.2. Let p = t + 88.3. Let l = p - 5.3. Which is the second biggest value? (a) -1\/7 (b) -1 (c) 3 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 70, 12, -286.\nAnswer: -286, -9, 12, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2 - 4*z + 8. Let s be x(2). Let d(n) = -11*n**2 - 8*n + 3. Let g(y) = 4*y**2 + 3*y - 1. Let c(m) = s*g(m) + 3*d(m). What is c(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3 = 7. Suppose 4*v - 56 = 3*q, 5*v + 2*q = 38 + 9. Suppose -v = -2*o - 1. Sort 1, o, y.\nAnswer: 1, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7804197271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21768758 divided by 1829.\nAnswer: -11902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -4*h**2. Let i(z) = 20 + 8 + 10 + 9 - 53 - 2*z. Give b(i(k)).\nAnswer: -16*k**2 - 96*k - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 29 (b) 2 (c) -0.21 (d) 3 (e) 1351\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -653 - -14516?\nAnswer: 13533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 52\/(-234)*(-693)\/(-22)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23557\/18 at most -0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 20 = -4*a - 5*f, -4*a - 3*f = -19. Let i be (-3)\/(-7) - (-9)\/(-21). Suppose a*s + s - 15 = i. Solve 4*u = -s - 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9999 and 491062?\nAnswer: 4419558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (33 + 3 + -11) - -10) + -7?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2305 = 1000*w - 642*w + 14521 for w.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2302.94883 to 1 decimal place.\nAnswer: -2302.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123 - 10 + 137 + 24*g.\nAnswer: 24*g + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 135 + 552220?\nAnswer: 552355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 85266300*z**5 - 10469*z**2 + 1264*z?\nAnswer: 5115978000*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-64)\/168*(-2)\/16*-6\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (3 - (5 - 0))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - (172 + -195 - (-2 - 33)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1283663 is divided by 839?\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3562892 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 8 + 1 + -9.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/8 + -6 - -7. Let k = -0.016 + 0.116. Which is the closest to k? (a) -0.3 (b) y (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmymumumumu. Give prob of sequence mm.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -75 + 135 - 58 - 126*x**2 as r*x**2 + w*x + m and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**4 - 1260*o**3 - 7494*o**2 - 3724*o + 12480 = 0 for o.\nAnswer: -624, -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -695*f - 29. Let x be o(-3). What is x rounded to the nearest 100?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13160 is divided by 321.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**2 - 3905*a**3 - 12039*a + 12039*a.\nAnswer: -3905*a**3 - 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.35756 rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*z**2 + 385*z**2 - 68*z**2.\nAnswer: 335*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.2045 millilitres in litres?\nAnswer: 0.0682045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 5 (b) 1 (c) 4040\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 74294.09 minutes?\nAnswer: 4457645.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*1\/(-1)*1. Let a = -17 - -55. Let y = 43 - a. What is the highest common divisor of i and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o - 8. Let t(c) = -3. Calculate -2*m(n) + 7*t(n).\nAnswer: 2*n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3969612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (72879\/(-14290))\/(11\/5 - 1) and -105\/4876?\nAnswer: 4876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 2 = 2*s, -6 = -5*s + 6*s - 3*b for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/214115 and -23\/170.\nAnswer: 428230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 266052967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -53*i**3 - 8*i.\nAnswer: -318*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b68a6 + 4?\nAnswer: b68aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18154063, 36308122, 54462181, 72616240, 90770299, 108924358?\nAnswer: 127078417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 9 + 0*h - 33*h - 40*h. What is the hundreds digit of o(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.4 (b) 4 (c) 3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1803304075?\nAnswer: 5, 23, 659, 4759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2252848 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42246882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1966375, 3932758, 5899141, 7865524, 9831907, 11798290?\nAnswer: 13764673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9200.814 hours to minutes.\nAnswer: 552048.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -30 + 1 - (-29 - -17 - -18 - 5)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33453?\nAnswer: 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55\/15 - -3) + -7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 2*l, t + 1 = -5*l - 12. Suppose -8 = t*d + 2*d. Put 0, -3, d in decreasing order.\nAnswer: 0, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d - 4. Let o be 1\/((-6)\/(35 - 5)). Let n(m) = 1 + 2 + 4*m + 2. Calculate o*w(l) - 4*n(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 6 = -5*w, 3*w + 0 = 2*f - 2. Suppose 5*z = f*z + 91. Suppose y = -y - 6, 4*m - y = z. Calculate the lowest common multiple of 12 and m.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + ((25 - 4) + -11 - 12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - m - 9 = 0, -2*c + 13 = 2*c - 5*m. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -h**5\/5 + h**4\/6 + h**3\/6 + h**2\/2 + 20*h. Calculate i(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 21200.913 hours?\nAnswer: 883.371375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 1121121?\nAnswer: 1121202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -k - k - 4*q - 0, -k + 10 = -4*q for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -23*m**3\/3 - 1. Let k(h) be the first derivative of h**2 - 2611. What is k(n(d))?\nAnswer: -46*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -63*x + 2073. Determine z(33).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(528) + sqrt(528) + 2*sqrt(528))\/sqrt(12))**2 + 4.\nAnswer: 708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 567928111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) 2\/11 (b) -37 (c) 2\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -250cc (base 14) to base 2.\nAnswer: -10110001001101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 973*w**3 + 4*w + 1029*w**3 - 2005*w**3.\nAnswer: -3*w**3 + 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/4 (b) -2.26 (c) 4 (d) 11\/96\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 15 = -5*l - 163 - 66, 3*x + 263*l + 12352 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n + 3 + 7, 20 = -2*o + 2*n for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 248602399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-5)*0\/(-3 + 0). Which is the closest to 0? (a) 3 (b) -1\/3 (c) 2\/7 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 10.91?\nAnswer: 10.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 equal to 2\/526269?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -457408, -461226, -465046, -468868?\nAnswer: -472692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 8122*y**3 - 4*y**2 + 4*y - 1. Is x(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/27*(-66)\/(-110).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 34b - 4?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p\/(p*p\/(p**2*p)))\/p))\/p*p**(-4))**(-28\/9)\/(p**(3\/4)*p**(-1\/2)*(p**6*p)\/p**(2\/19)) assuming p is positive.\nAnswer: p**(5753\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -328029.933 rounded to the nearest one thousand?\nAnswer: -328000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -347934\/13 + 26764. What is the second smallest value in q, 64\/7, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102216943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/10*780\/468.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 6:16 AM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 6*f + 234. Let d be c(-39). Solve d = -2*u - 4*a - 20 - 0, 3*a + 15 = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b66c10 (base 14) to base 8.\nAnswer: -27411616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111220 + 1002?\nAnswer: -110211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oucucsusrtc. Give prob of sequence orc.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 248 + -135. Suppose 12*w = 11*w + 23. Calculate the remainder when j is divided by w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 7905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-4))\/((-1)\/(-20)). Suppose 2*t = 4*z - p, 3*z + 4*t = z. Suppose 3*b - 19 = -4*l, -7*b - 4*l = -z*b - 45. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4540)\/(-1)*(-13 + 1 + 14). What is the first derivative of -8947 - 5*j**2 + a + 2*j**2 + 38*j**3 wrt j?\nAnswer: 114*j**2 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 1 - 2 - (7 - 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t - 1. Let q be (-4)\/(-16) - (-380)\/80. Suppose -q*h - 1 = -y, -4*y - 2*h = -0*h - 4. Let i(p) = -7*p + 4. Determine y*i(w) + 4*r(w).\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 653451 is divided by 54451?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**5 + 0*y**5 - 3*y**5)*(5 - 1 - 5)*(-1 - 2 + 0).\nAnswer: 3*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q + 7. Suppose -14*f - 595 = -7*f. Let w = f - -81. Let k(p) = 4. Let a(b) = 3. Let n(z) = 7*a(z) - 5*k(z). Give w*n(t) + i(t).\nAnswer: t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 31671 to the nearest 100.\nAnswer: 31700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*h + 665 + 183 = -47*h for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -15*o + 1. What is u(-2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iicc. What is prob of picking 2 c?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-3 - 13 - -9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*d + 6 = 123*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + -0.7. Let w = -0.4 - -0.34. Let o = -4.06 - w. Sort -2\/7, d, o in decreasing order.\nAnswer: -2\/7, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 232 and 1566.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 7*s - 18. Let t be o(10). Factor 11 + 28*m**2 + 92*m + t + 6 - 5.\nAnswer: 4*(m + 3)*(7*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/35 and 35\/126433?\nAnswer: 4425155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1728 and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -0.5 (c) -153\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4689683*u**3*x - 3*u**2*x - 151*u**2 - 85*u*x - 2*u + 2*x wrt u?\nAnswer: -28138098*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - 1. Let h = c - -11. Let s = 164 - 163. What is the second biggest value in 0.6, s, h?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + 5*b + 8. Let o = 61 + -32. Let c = 36 - o. Give r(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {n: 1, o: 2, g: 1, m: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 8. Suppose -5*n + 25 = 0, -3 = -o - x*n + 20. Suppose 0 = -5*y + o*f + 2*f + 80, y + 4*f = 6. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2070299494 to the nearest integer?\nAnswer: 45501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 7*p + 3. What is the remainder when o(-7) is divided by 1 + -2 + 0 + (1 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -224, -985, -2244, -4001, -6256, -9009?\nAnswer: -12260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24484630 rounded to the nearest one thousand?\nAnswer: 24485000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -70 - -5792b?\nAnswer: 578ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-2))\/z*z\/z**1*(z*z**(1\/7)*z)\/z**(-2\/11) assuming z is positive.\nAnswer: z**(25\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36376.21 weeks to nanoseconds.\nAnswer: 22000331808000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22044 - -83375. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3 - 13247708*p**2 + 10968853829472*p + 10968867077184.\nAnswer: 4*(p - 1655964)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 10:24 PM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/3 - (-2)\/3. Let c(h) = 4*h**3 - 3*h**2 + 4*h + 3*h**2 - 1 - 5*h**3 - f*h**2. Let g(t) = t**3 - 3*t**2 - 6*t + 5. Let z be g(4). Determine c(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 242*v + 546 with respect to v.\nAnswer: 242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -25?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 - 74 = 14*t for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*j - 1715 = -48*j. Let f = j + 305. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 21 = -19. Let m(v) = v**2 - 3*v + 1. What is m(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 490 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/16 of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -10*k**2 + 11*k - 11. Suppose -r = 4*o - o + 25, -3*r = -o + 65. Let l(u) = -u**2 + u - 1. Let s(f) = r*l(f) + 2*q(f). Suppose s(n) = 0. Calculate n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 2*m - 3. Suppose 0 = -8*r - 50 + 42. Let v(j) = -3*j**2 - 10*j + 38. Let w(d) = r*v(d) - 5*u(d). Let y(o) = -3*o. Calculate w(y(x)).\nAnswer: -18*x**2 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 454624409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5481863500?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14.9 + 15. Let d be ((-3)\/45)\/(4\/10). What is the second smallest value in f, d, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 145879064 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 6*d**2 - 18*d - 11. Let g be q(-8). Let z(a) = -4 + g + 2 - 3*a. Calculate z(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of 1\/6*j**4 + 29 - 19\/6*j**3 - 53\/10*j**5 - 3*j + 0*j**2. What is the third derivative of l(n) wrt n?\nAnswer: -636","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4080 + -4078. Solve -16*b + 11 = -15*b + 2*s, -4 = -a*b + 2*s for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uhu when three letters picked without replacement from {u: 7, h: 3, j: 4}.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d**2 - 119956*d + 72260040 = 0 for d.\nAnswer: 615, 29374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-22 + (-4)\/4)\/1. Let f = -21 - l. Suppose f*w = 4*w - 6. Let z(h) = -h**3 + 3*h**2 + 2*h - 1. Calculate z(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1\/9, 1\/3, 1\/53?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 74*o**2 + 38*o - 1129. What is the units digit of q(-71)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/sqrt(28) + (sqrt(468)*-3)**2.\nAnswer: sqrt(13)\/2 + 4212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3 - 3*k + 1 + 5*k - k. Is f(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1827\/(-108) + (-1)\/4 and (6\/(-28))\/(30\/650).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 - 5*t**2 - 250*t - 240.\nAnswer: 5*(t - 8)*(t + 1)*(t + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -85, 0, -0.4, 0.08 in decreasing order.\nAnswer: 2\/9, 0.08, 0, -0.4, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.112, -3\/2, 0.05, -2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-6) + 548\/(-12). Let u be v\/3 + (-4)\/(-12). Let d = u - -22. Calculate the remainder when d is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.286 and -2196.\nAnswer: 2824.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*1*14\/21. Suppose -v*r = -21 + 1. Suppose 2*w - 32 = -r*j, 1 + 3 = 4*w - 5*j. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 10*d**2 + 25*d + 75. Let f be u(-8). What is the nearest to 0.2 in -4\/9, f, -17?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167*h**3 - 146*h + 73*h - 444*h**3 + 73*h - 313*h**3.\nAnswer: -590*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -81277009*r**2*z + 47115*r*z + 680*r wrt r?\nAnswer: -162554018*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10645 - -74709\/7. Let x = b + -2087\/70. What is the common denominator of -29\/14 and x?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -8 + 5 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jtfmn. What is prob of picking 1 t and 1 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -46791 divided by 9?\nAnswer: -5199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 550076 is divided by 183358?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 73939295*c**4 - 34*c**2 - 24*c + 6086 wrt c?\nAnswer: 1774543080*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4336779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 223 + 7*g + 30*g + 10*g - 23*g. Calculate the remainder when ((-1)\/(-2))\/((-1)\/(-118)) is divided by x(-8).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -264, -559, -900, -1287, -1720?\n\"Answer: -23*n**2 - 226*n - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 4, 2*t - t = 2*v + 1. Solve 4*b = 16, v*b + 6 = -2*m + 2*b for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 14 = -13. Suppose 5 = 2*v - y. Let z = 8 - v. Solve 3*d - 12 + 3 = -5*n, -z = n + 2*d for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*y**2 + 3*y + 31*y**2 - 3*y.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8310662431.\nAnswer: 619, 2971, 4519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6969 - -6974. Which is the fifth biggest value? (a) -5\/4 (b) 1 (c) z (d) 0.11 (e) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 16 - 46. Calculate the least common multiple of 21 and s.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(2\/11)*r)\/r)\/((r\/r**(-3\/8))\/r))**(-2\/5)\/((r\/((r*r**(2\/3))\/r)*r\/(r**(2\/9)*r))\/(r**1\/r)**26) assuming r is positive.\nAnswer: r**(-67\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 858168781?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - g - 955 = 0, 0 = -s - 2*g + 3*g - 321. Let q = s - -327. Solve q*z = 11*z - 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45 - 43. Solve -n + z - t*z = 2, 4*n - 5*z = -8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3777 (b) -0.03 (c) 489 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*j + 3*c, -333*j + 329*j = -5*c - 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -916 - -5501\/6. Which is smaller: 0.1 or x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(891) - 4*(0 + sqrt(891))) + -2*sqrt(891)*-6 + sqrt(891) + -6*((0 + sqrt(891))*5 + -3))**2.\nAnswer: -6480*sqrt(11) + 356724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of 1\/2*l**2 + 3*l + 0*l**3 - 3\/20*l**5 + 0 + 1\/6*l**4. What is the remainder when j(-2) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -47840 + -21?\nAnswer: -47861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(-4)*t))**(-5\/12)\/((t*t**(-14)*t)\/(t\/t**(-1\/25)*t)) assuming t is positive.\nAnswer: t**(928\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*b**3*u**4 - 27*b**3*u**2 + 18*u**5 - 6*u wrt u?\nAnswer: -312*b**3*u + 1080*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (26\/91)\/(2\/14). Put r, -1, 1 in decreasing order.\nAnswer: r, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1829\/5, -0.9, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of r**6\/7 + 4*r**5\/35 - 5*r**4\/7 + r**2 - 4*r\/7 + 15. Determine t so that o(t) = 0.\nAnswer: -2, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8662.74 and -10.\nAnswer: 8652.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 - -35. Calculate the lowest common multiple of 31 + -1 + (94 - 106) and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2220.\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 1.7761 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r**5\/4 - 427*r**4\/4 + 51031*r**3\/4 - 1173037*r**2\/4 + 2373700*r - 6370000 = 0. What is r?\nAnswer: 7, 13, 200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60\/131 + -37887\/83578. Let r = 20091\/1276 + s. Let i = 449\/28 - r. Which is the closest to 0.1? (a) -1\/9 (b) i (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/5 of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1328622271 divided by 2.\nAnswer: -1328622271\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -695*g**2 - 11 - 9*g**3 + 16 - 5 - 8 + 11*g**3 to the form u*g**2 + j*g**3 + a + p*g and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 9:26 AM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 127*p. Let d(l) = 7*l + 2. What is z(d(v))?\nAnswer: 889*v + 254","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55, 56, 57, 58?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.1 and 3283871?\nAnswer: 16747742.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15319131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -160*a*c**6 - 6*a*c**2 - 4413518*a - 24558*c**6 wrt c.\nAnswer: -19200*a*c**3 - 2946960*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fsvsdvdsvvbnfvv. What is prob of picking 1 n and 1 v?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 48, -6, 3, 4, 8 in increasing order.\nAnswer: -6, 3, 4, 8, 20, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -129.8870157 to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64, 60, 52, 40, 24, 4, -20?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**2 + 1 - 3 + u**2 + (2 + 3 - 6)*(-3*u**2 - 2*u**2 + 4*u**2) + 5*u**2 - 4*u**2 + u**2 - u**2 - 2 + 2.\nAnswer: 3*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362 is divided by 98?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -710*c - 1169*c - 6778 = -1087*c + 16982 for c.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**3 + a**3 - 3*a**3)*(3 - 2 + 0)*(-166 + 335 - 48*a**2 - 162).\nAnswer: 48*a**5 - 7*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-11 - -2 - -19)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -141155, -141231, -141427, -141803, -142419, -143335, -144611, -146307?\nAnswer: -148483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.041879610401+-26.85\nAnswer: -26.808120389599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9, 16, 27, 42, 61, 84?\n\"Answer: 2*j**2 + j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -242 (base 7) in base 4?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1511035 is divided by 459?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -6*y + 628. Let f(r) = 18*r - 1900. Calculate 2*f(v) + 7*k(v).\nAnswer: -6*v + 596","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9422.926 milliseconds to microseconds.\nAnswer: 9422926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1761 is divided by 1*(-686)\/(-21)*(-3)\/(-2)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.072 + 170.928. Let y = 172 - z. What is the nearest to y in 0.16, 1\/4, -0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.40583 rounded to 1 decimal place?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11394108 divided by -891?\nAnswer: -12788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 685 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/8)\/((-1105)\/520)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -414\/125 + -4658\/375. Let v = -69\/10 - d. Find the common denominator of -39\/7 and v.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -41*b**2 - 2*b + 3. Let r be n(1). Let g = r - -40. Solve -4*p + 20 = -g*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 106*g - 1093575 - 531405. Calculate the greatest common factor of g and 210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - 71. Let o = -48.74 - x. Let t = -4.8 + o. What is t rounded to one dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -5*d**2 + 2*d**2 + 4*d**2 + 0*d**2 - 2*d. Let k be g(-4). What is the highest common factor of 6 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76837.08 centimeters in kilometers?\nAnswer: 0.7683708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyyzzyyy. What is prob of picking 2 y and 2 z?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 5*c + 2 = 13, 0 = -5*t - 2*c - 23 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + sqrt(637) + sqrt(637) + 2 + sqrt(637) + 4 - 5*3*sqrt(637) - (4 + 0 + sqrt(637) + -1 + -1))**2.\nAnswer: -672*sqrt(13) + 91744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -113796*l**3*m**2 + 102*l*m**2 + 2*l*m + 5*l + 2*m**2 wrt l.\nAnswer: -682776*l*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 884 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*v**2 + 66*v**2 + 72*v**2 + 75*v**2 - 216*v**2 - 71*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -6 (b) 9\/10 (c) 0.99\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of -i**4\/12 + 2*i**3\/3 - i**2 - i. Let h(f) be the first derivative of n(f). Differentiate h(l) wrt l.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10004483 (base 9) in base 14?\nAnswer: 8c83b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - 13*t + 2. Let d(o) = o**2 + 12*o - 1. Let u(k) = -6*d(k) - 5*l(k). Suppose -3*z + 8*z - 15 = 4*f, 0 = 4*f - 2*z + 18. What is u(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((20\/(-8))\/1)\/(4\/(-8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -728120, -728496, -728884, -729290, -729720, -730180, -730676?\nAnswer: -731214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2456 and 362874?\nAnswer: 1451496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (140\/42)\/(2\/(-57)). Find the common denominator of 5\/8 and (-13)\/65*l\/(-98).\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k - 3. Let c(z) = -1. Calculate -4*c(n) + i(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13732173 to the power of 1\/2, to the nearest integer?\nAnswer: 3706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -173, -326, -473, -614, -749, -878, -1001?\n\"Answer: 3*c**2 - 162*c - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 136, -5, 1, 3562, 0 in increasing order.\nAnswer: -5, 0, 1, 5, 136, 3562","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 489096659.\nAnswer: 139, 163, 21587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + sqrt(147)) + -4 + (sqrt(147) + (sqrt(147) - (sqrt(147) + 2)*-2))*2)**2 + -3.\nAnswer: 840*sqrt(3) + 14733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 297 = -3*h + m, 4*h + 2*m + m = -396. Let j be h\/(-44) + (0 - 3\/(-4)). Let l(g) = -g**2 + 5*g - 1. Give l(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/2688 and -109\/18432.\nAnswer: 129024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*d**3 - 25500988273*d + 25500988273*d.\nAnswer: -47*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*b - 2*b - 11*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -0.07.\nAnswer: 0.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72, -57, -42, -27?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-96)\/(-27))\/((-21)\/(1134\/(-12)))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 3 - 1. Let u = 968\/5 - 193. Is u at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*g - 60 = 0. Let u = 38 + -28. Let v(w) = 3*w - 3. Calculate the smallest common multiple of g and v(u).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 5*j - 15. Let q = 28 - 23. Suppose -21*f + 83 = -22. Calculate the least common multiple of f and i(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wgwuw. Give prob of picking 1 g and 1 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -29*q + 3. Let d be r(7). Let p be 5\/d*-5*-6. Put p, 3, -0.2 in increasing order.\nAnswer: p, -0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - -83904?\nAnswer: 83890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8854886 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -8*q**2 - 1. Let u(f) = -9839*f. Calculate k(u(x)).\nAnswer: -774447368*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 518309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**3 + 5*c**2 - 5*c - 5. Let a(q) = q**3 - 3*q**2 + 3*q + 3. Calculate -5*a(p) - 3*i(p).\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.08 + 0.08. Let o = -0.43 - 2.97. Let v = z - o. Which is the smallest value? (a) -0.2 (b) v (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 3*x - i, -x + 2*i + 0*i + 17 = 0. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 63 * 781.\nAnswer: 49203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144356178 is divided by 107328.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -8485.34?\nAnswer: -8484.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2264073, -9056715, -20377785, -36227283, -56605209, -81511563, -110946345?\nAnswer: -144909555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 113*n + 153*n = -354, x + 25 = -3*n for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v + 5. Let d(k) = -k + 4. Let y be d(0). Let u = 141 + -9. Let l(q) = 260*q + 6 - 127*q - u*q. Calculate y*b(p) - 3*l(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38146689 is divided by 18287.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 48*7\/((-84)\/8). Let a be (-348)\/h + (-5)\/(-40). Suppose 3*u + 3 = 5*d, 3*d + u + a = 8*d. Solve d*w = 22 - 7 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6808 - 1675. Is 33 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o\/((o*o*o**(-2\/41)*o)\/o)*o)\/o*o\/o**(-10) assuming o is positive.\nAnswer: o**(494\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 706, 1464, 2268, 3118, 4014, 4956?\nAnswer: 5944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/7, -650, 133?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -10. Suppose b - 5*q + 9 = 0, -4*b + 2*q - 4*q + 8 = 0. What is the remainder when b - (2 - 1 - 13) is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1996\/28 - (-4)\/(-14). Suppose 2*i - u = -25. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 2*m**2 - 9*m + 15. Let j(o) = -134*o - 4159. Let b be j(-31). Calculate h(b).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0179148951 rounded to 4 decimal places?\nAnswer: -0.0179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -586335, -586334, -586333, -586332, -586331, -586330?\n\"Answer: s - 586336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 4. Let y = n + 9. Which is the smallest value? (a) 0.4 (b) y (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(1100) + 4)*1 + (((sqrt(11) - (-2 + sqrt(11))) + 1 + sqrt(11) + sqrt(396) + 2)*1)**2.\nAnswer: 80*sqrt(11) + 565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -7682\/47 (c) 3 (d) 0.9 (e) 1 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 - -240 - (-7 - -3). Suppose n*t + 442 = 241*t. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1855.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13770 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.031, 2, 44, 1\/3, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**5\/5 - 7*h**4\/5 - 3*h**3\/5 + 43*h**2\/5 + 28*h\/5 - 12 = 0 for h.\nAnswer: -5, -3, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 312031?\nAnswer: 312023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 1\/5, 45 in descending order.\nAnswer: 45, 2, 1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 12*r**3 + r**2 - 2*r. Give c(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-114)\/76 - 491*(-285)\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + 0. Suppose 9 = -a + 3*d - 0*d, z*a = 2*d - 32. Let s(n) = 4*n. Let f(u) = 2*u. Let x(h) = a*s(h) + 10*f(h). What is x(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1143672692 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.464 + -17.724. Let u = b + 3.16. Round u to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.34211kg to grams.\nAnswer: 46342.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1280 + -5?\nAnswer: -1285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 1 = 3*z. Find the third derivative of -z*c**2 + 0*c**4 + 3*c**5 - 3*c**4 + 3*c**4 wrt c.\nAnswer: 180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 160992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1820)\/(-60))\/(2\/60). Let k be l\/39*(-6)\/(-5). What is the greatest common factor of 98 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35011573691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 14, -2\/3, 1, 3\/7, 2\/7, -0.019?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 - -93848523.\nAnswer: 93848571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + -2)*-5.\nAnswer: -35*sqrt(13) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -19 (b) 5 (c) 0.3 (d) -3\/17 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -0*c + 50. Suppose -a = a - 18. What is the remainder when c is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g + 14. Give o(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 + -24. Let j be (-5)\/d + (-18)\/(-8). Let h = 643 - 640. Solve 0 = h*p - j*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8597, -8561, -8495, -8393, -8249, -8057, -7811, -7505?\n\"Answer: n**3 + 9*n**2 + 2*n - 8609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 2*z - z. Let i(l) = -2*l + 22. Let v be i(9). Put -1, v, z, -4 in descending order.\nAnswer: v, z, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5*w**3 - 2*w - 1. Suppose -465 = 16*p - 497. Calculate v(p).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1337491412?\nAnswer: 2, 397, 842249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 27 + 9 = 4*f, 0 = -x - 2*f + 6 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 658402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36.4234ml to litres.\nAnswer: 0.0364234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 8175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 135*c - 133*c. Suppose -k + 1458 = c*y, -k - 448 = -3*y + 1744. Is y a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide (-9)\/((-108)\/1120)*(-12)\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -9*k - 11 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 49831*g**2 + 229*g - 5. Let l(a) = -2*a**2. Calculate i(l(d)).\nAnswer: 199324*d**4 - 458*d**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 117507?\nAnswer: 117506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 0*c**2 + 2 + 11*c**2 + c**2 + 4*c + c**2. Is g(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5 and 4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7681 + 0.8291. Let u = -11.339 + 11.2. Let g = j - u. What is the fourth biggest value in -6\/11, 2, 0.1, g?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 342 and 360?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 15*w**2\/2 + 4*w + 38. Let a be m(-1). Let h(z) = z + 13. What is h(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -623 = -4*x - w, -2*w - 12 = -6*w. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400104785 to the power of 1\/2, to the nearest integer?\nAnswer: 20003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159946 is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 2*i + 2*i, -5*i - 4*w = 0. Suppose i = 4*g - 5*z - 49, -2*g + 4*z + 38 = g. Suppose -110 = k - g*k. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3373234427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-8835)\/10 + 0)*(-4 + 2) is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -592.9 + 593. What is the smallest value in v, -1, -2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u + 3. Let h = 4 + -4. Let c be i(h). Factor 4*w - w**2 - 6*w**3 - 3*w + 0*w**c.\nAnswer: -w*(2*w + 1)*(3*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18519 divided by 3?\nAnswer: -6173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6730100 divided by 25885?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**12\/q**11*(q\/(q\/(q*((q**31*q)\/q)\/q)))\/q**(-17\/3) assuming q is positive.\nAnswer: q**(113\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1316)\/(-8))\/(-7) - (-326)\/652.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -126916519\/2 or -63458261?\nAnswer: -63458261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 5. Let w be ((-2826)\/162)\/(2\/(-3)). Let a = -787\/30 + w. Which is smaller: a or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 8*b + 70. Let s be 4*(-12 + 2 - -8). Give z(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 6*l - 1. Let y(m) = -2*m**2 - 7*m. Let s(b) = 3*g(b) + 2*y(b). Give s(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + 3*(sqrt(78)*-2 - sqrt(78)) + sqrt(78))\/(-6*sqrt(6)\/sqrt(2)))\/(sqrt(22)\/(-2*sqrt(704))*-1).\nAnswer: 56*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/35 - (-5)\/(70\/22). Suppose 5*b**3 - 139*b**2 + 73*b**h + 76*b**2 - 40*b = 0. Calculate b.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.08 + -5.08. Let i = -4 - l. Let d = 0.5 - i. What is the nearest to 1\/2 in 0, d, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 155400000 to the nearest one million.\nAnswer: 155000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.3 > 1\/162?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/10086 and -52\/75645.\nAnswer: 151290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(0 + 0 + 1)*(-g**2 + 4*g**2 + 2*g**2).\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 - (-23 + -18 + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*y - 6*y + 6*y)*((3 + 1 - 3)*(3 - 3 + 2*y) - 2*y + 5*y - y)*(-134*y - 4002 + 4002).\nAnswer: -3752*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -3 in ascending order.\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 118 - -1243. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -j**4\/24 - 25*j**3\/6 + 64*j**2. Let v be 0\/(-7 - (-18)\/3). Give z(v).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155190 is divided by 4547?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7668554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/73 in 0.09, 0.02, 3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h + 2*h + 24 = 4*k, -3*k + 11 = -3*h - 34 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -293*w + 19 + 57 = -289*w for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3\/5)*g*g)\/g)\/g**(-1)*g**(3\/7)\/(g*g**(1\/17)) assuming g is positive.\nAnswer: g**(458\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 - 34 + 256001*i**2 - 3*i.\nAnswer: 256001*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 1) + (-28)\/(-10). Let i = -3\/91 + 209\/819. Put 4, z, i in increasing order.\nAnswer: i, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/13, 0, 1, 1\/4 in decreasing order.\nAnswer: 1, 1\/4, 0, -4\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {d: 5, w: 1, m: 4, c: 1}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 405*z**2 + z - z + 3366 - 3365.\nAnswer: 405*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1889 to 2 decimal places.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -b1d68?\nAnswer: b1d67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 6*p**2 - p. Let c(h) = h**3 + 112*h**2 + 3719*h - 7938. Let l(t) = 2*a(t) + c(t). Factor l(y).\nAnswer: (y - 2)*(y + 63)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3227 + -2993. What is the greatest common divisor of x and 1287?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - (2 + -5 + 5)) + -17?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 966 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -146, -158, -186, -236, -314?\nAnswer: -426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/27)\/(4\/6)*(-228)\/(-38)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.81594722 - -703.81472522. Let s = 703 - c. Round s to 4 dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 88 + -90. Sort l, 0, -0.16.\nAnswer: l, -0.16, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 10*f - 71. Give w(-9).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 8792, 3 in descending order.\nAnswer: 8792, 3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 892607, -0.3, 19\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -29, 4, 59, 136, 235, 356?\n\"Answer: 11*u**2 - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9923, -19226, -27915, -35990, -43451, -50298, -56531?\nAnswer: -62150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q**3 - q**2. Let p be h(2). Suppose -5*o = 5*k - p, o + 4 = -5*k + 12. What is the common denominator of 133\/24 and 2 + o\/120*158?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/36)\/(10\/24*3)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 130.41172 + 0.06828. What is b rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12c + -1665?\nAnswer: -1538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 657 = 3*m + 3*p, 2*m - 5*p + 58 - 496 = 0. Suppose 0 = h - m + 38. Calculate the remainder when h is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5662729 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 96.8 - 97. Which is the third smallest value? (a) 1 (b) s (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 757467 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 2 = -3*s, 11*s = 12*s + 5*b - 18 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from ibbiiiii.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 14) to base 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13659061 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b**2 - 535*b = 0 for b.\nAnswer: 0, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**4*m - 16*c**4 - 10775*c**3*m + 103195*c**2*m + c*m + 19*c + 2*m wrt c.\nAnswer: 48*c*m - 384*c - 64650*m","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -737*r + 3689. Let p be w(5). Solve -168*f + 169*f = -2*m + 10, -3*m = -4*f - p for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/14 + (-22)\/35.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 15*u**2 + 30*u + 9. Let p be q(17). Let m = 61 + p. Let o(d) = d**2 - 1. Let x be o(-2). Solve -x*l + m = -2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p**2 + 109*p + 214. Let b = -7 - -10. Calculate the least common multiple of r(38) and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000024527 to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express s - 4*s + s - 2 - 89 as l*s + r and give r.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7437, 7616, 7913, 8328, 8861, 9512?\n\"Answer: 59*x**2 + 2*x + 7376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*n - 18*n = -20*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16\/7 in -3\/7, -7931, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -37217 times -10\nAnswer: 372170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21*d - 45536 + 45561 + 59*d)*(-d**2 - 3*d**2 + 3*d**2) to the form v*d**3 + j + a*d + o*d**2 and give v.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*i - 28*i = -191828. Suppose -6*t = -i + 7139. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -10324, 70 in increasing order.\nAnswer: -10324, 0, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 - 224*t - 3585.\nAnswer: (t - 239)*(t + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**3 + v - v + (-1 + 0 - 1)*(-v**2 - 2*v**3 + v**2) - 10*v**3 + 6*v**2 - 6*v**2 + (-5 + 5 - v)*(v**2 - 1 + 1) - 4*v**3 + 3*v**3 - v**3.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 3*s + 10, 0 = 103*j - 104*j - 2*s + 35. Suppose 4 = 4*n, m + 2*n - 59 - 67 = 0. What is the remainder when m is divided by j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -9*u + 70. What is o(-9)?\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 56.75 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*w**3 + 21733848*w**2 + 277635360?\nAnswer: -18*w**2 + 43467696*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c + 9. Let z be s(7). Let x be (-15)\/(-6)*2 - z. What is the first derivative of 5 + 32*j - 24*j**x + 24*j - 56*j wrt j?\nAnswer: -72*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 i when two letters picked without replacement from {e: 1, i: 1, y: 2, s: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 10, 0.4, 19, 13\/3, 17?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1309 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*u + 0*u + 12*u)*(-2*u + 8*u + 8*u) + 2 - 2 - u**2 + 2*u in the form a*u**2 + g + f*u and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 4 + 11 + 87*b.\nAnswer: 87*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 52608, 52620, 52656, 52728, 52848?\n\"Answer: 2*g**3 - 2*g + 52608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1902497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 3245*c**3 + 128 - 1623*c**3 - 1624*c**3 - 1015 in the form f*c + j*c**2 + h + s*c**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -569807.069 rounded to the nearest 10?\nAnswer: -569810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 28 = 3*k, -5*d - 36 = k - 120. Let j = -32 + 52. Calculate the smallest common multiple of d and j.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*t + 21*t - 94*t**2 - 83*t + 28*t.\nAnswer: -94*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 123\/30 - (-1)\/2. Let q = 24\/5 - u. Let m = -8 + 8.3. What is the third smallest value in 1\/4, m, q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.37, -4, -5 in decreasing order.\nAnswer: -1.37, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 4:03 AM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 29*o + 28*o - 3 = 0, -5*o - 15 = 5*n. Put n, 12, 3\/7 in descending order.\nAnswer: 12, 3\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(2448)*-5 + 4.\nAnswer: 4 + 180*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 135.6 + -135.6. What is the closest to y in 1, -62, 0, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2*y = -4*y - 4, 5*o + 2*y = 14. Let d(n) = n**3 + 12*n**2 - 13*n - 3. Let m be d(-13). Put 4, o, m in descending order.\nAnswer: 4, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w - w = 2*p + 2, 2 = -w + 2*p for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 73500 divided by 3?\nAnswer: 24500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.3105 + -2.61004. Let t = k + 0.302. Round t to four dps.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 128, 309, 490, 671?\n\"Answer: 181*v - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*(z\/(((z*z\/z**0)\/z)\/z))\/z))\/z)**(15\/2)\/(z\/(z\/z**(-2\/3))*z**(3\/2))*((z\/(z*z**(2\/3)*z))**(-5\/3))**(2\/65) assuming z is positive.\nAnswer: z**(-965\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*j + 613 = -227. Solve -j*z = -36*z - 32 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3076394*s**3 + 1538267*s**3 + 1538235*s**3.\nAnswer: 108*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.242 + 8.242. Sort -2036, -0.2, x.\nAnswer: -2036, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -24267, -48497, -72727, -96957, -121187?\n\"Answer: -24230*s - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1239 (base 11) to base 9.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 796*n**2 + 5959*n - 11917. Determine x(2).\nAnswer: 3185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*sqrt(136))\/sqrt(8).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 43*w**3 - 5*w**2 + 9*w. Let y(q) = -22*q**3 + 3*q**2 - 5*q. Let k(m) = 3*i(m) + 5*y(m). What is the second derivative of k(f) wrt f?\nAnswer: 114*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**3\/(o**(2\/9)*o)*o*o**(-2)*o*o\/(((o*(o*(o*o*o**(2\/15)*o)\/o)\/o*o)\/o)\/o))\/((o*o**(-4\/3))\/((o\/(o**(-1\/4)*o))\/o*o))**(-29) assuming o is positive.\nAnswer: o**(-2929\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g. Let m be z(-7). Let y(v) = -v**3 + 16*v**2 + 18*v - 3. Let w be y(17). Let o = w - m. Solve -2*s + o*s - 2 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/7 + 485\/(-70))\/(22\/(3828\/29))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1349047?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 698239422?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35194 is divided by 17590?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 477311 and 674819?\nAnswer: 19569751","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 459 - 460. Let o be 4\/(-6) - 60\/(-9). Let z be 2\/6*o\/4. Put 1\/6, z, t in descending order.\nAnswer: z, 1\/6, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 60, 719, -4, -2 in ascending order.\nAnswer: -4, -2, 1, 4, 60, 719","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s - 10348 = -24*s. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4)*(-52)\/(-65)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4, -0.1, 75, 4, -3\/2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002761566 rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 10 = -z, 2*i - 4 = -3*z + 8*z. Suppose i*x + 2*u = 32, 2*u + 0 = 4. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -409315*y**2 + 5*y - 143197 wrt y.\nAnswer: -818630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.1632322 rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (62\/124)\/(1\/(-16))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 248*g**2 - 2744*g + 205. Determine s(11).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74992, 74993, 74994, 74995, 74996, 74997?\nAnswer: 74998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2140163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -746 - -756. Let h(a) = a**3 - 10*a**2 - 4*a + 35. What is h(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = -15*r - 15*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 177\/48 - -98*(-10)\/280.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -2, 0.1, -0.5, -272?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -11468*g**2 + 5730*g**2 + 5730*g**2 + 3*g - 3*g. Let d(k) = -k**2 - 2. Let h(v) = 3*v**2 + 5. Let p(n) = -5*d(n) - 2*h(n). Give a(p(f)).\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6\/5, -227, 39\/7, -1, 0.2?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4504 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of h**6\/8 - 9*h**5\/80 - 7*h**4\/16 + 3*h**3\/8 + 3*h**2\/4 + 5*h. Find a, given that c(a) = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(136))\/sqrt(8)*5.\nAnswer: 25*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -11*w - 5. Let x be r(-2). Let a = -17 + x. Suppose a = -2*g + 7*g - 225. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + h = -25. Suppose -17 = -2*d + h. Suppose 0 = t - 12 + 6. Solve 3*v = -d + t for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 9:39 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*d**3 + 32215070*d**2 - 51890633400320*d + 311342640660480 = 0. What is d?\nAnswer: 6, 3221504","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*k = -2*k - 344, -2*k = -i + 116. 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: Is 1932056309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1977 + 1454 = -40*x + 1597. Solve 5*y - 23 = -x for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002006 to four decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in eighteen fifths of a millisecond?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 24*g - 4. Let y be v(25). Calculate the highest common divisor of 7 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) -0.35 (b) 0.1 (c) 2\/7 (d) 35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*t**3 + 4 + 7*t**3 + 5 - 5 wrt t.\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40.612 + 1.388. Let a = -3903.53 - -3862. Let o = a + c. Is o bigger than 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 229970 and 4880.\nAnswer: 1839760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -11776*a**2 - 60*a - 10083. Let l(n) = -n**2 - 20*n - 3. Let z(b) = f(b) - 3*l(b). What is the derivative of z(g) wrt g?\nAnswer: -23546*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 33*w - 94757. What are the prime factors of w?\nAnswer: 13, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3274959?\nAnswer: 3, 421, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 3\/5*n**2 - 6\/5*n + 3\/5*n**3.\nAnswer: 3*n*(n - 2)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011010101100000011 (base 2) in base 13?\nAnswer: 1000ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87920577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/6 + 22\/((-640200)\/(-38860)). Let v = k - -483\/970. Let v*h**2 - h + 0 = 0. Calculate h.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of m**6\/20 + m**5\/15 - m**4\/24 + 2*m**3\/3 + 14*m**2. Let f(x) = -5*x**3 - 3*x**2 - 3. Give 4*f(y) + 3*g(y).\nAnswer: -2*y**3 - 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 != 126\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13848478?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*k**3 + 9*k**3 - 6*k**3)*(-11*k - 1692 + 1691 + 51*k) to the form g*k + y*k**3 + x + q*k**2 + h*k**4 and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/12 and -119\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174603244 is divided by 12471658?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 15303 (base 7) to base 3\nAnswer: 12212000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 5*a**2 - 2*a + 5. Let u = -2 - -5. Suppose 2*f + u*f = 20. What are the prime factors of h(f)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 4*y**2. Suppose -a = 2*a - 6. Suppose 5 = -a*i + 23. Calculate the remainder when h(-2) is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 26*w**2 + 5*w + 6. Let z(y) = 50*y**2 + 10*y + 11. Determine 11*g(o) - 6*z(o).\nAnswer: -14*o**2 - 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -t**5 + 1776*t**3 + 5054*t wrt t?\nAnswer: -20*t**3 + 10656*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35158001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2 + ((-2*sqrt(576))\/sqrt(12))**2)*3.\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 268 and 10243630?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -2 - (1 + 25 + -9)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17628146*l*p**3 - l*p**2 + 22*l*p - 140*l + 91 wrt p.\nAnswer: 105768876*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -d**6\/360 + d**5\/120 - d**3 - 15*d. Let r(z) be the second derivative of n(z). Let r(f) = 0. Calculate f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2 + 7*s - 6. Let l(v) be the second derivative of -v**3\/6 + v**2\/2 + 4021*v. What is 4*l(m) + w(m)?\nAnswer: 2*m**2 + 3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3736 by -4.\nAnswer: -934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/2342860 and 41\/2811432.\nAnswer: 14057160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13876?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 5*w. Suppose 4*c - 4*v + 12 = w, -4*c - 17 + 5 = -2*v. Which is smaller: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**2 - 10303*m + 164331. Calculate v(16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -95.1 - -96. What is the closest to p in -0.1, -1\/8, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5)\/(30\/(-6)) - -1041?\nAnswer: 2, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 8:19 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -308 + 311. Suppose -s + 9 = f*a, -6*a - 4*s + 4 = -2*a. Factor -6\/5 - 27\/5*w**2 - 3*w**3 - 21\/5*w - 3\/5*w**a.\nAnswer: -3*(w + 1)**3*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2961 or -4165\/38?\nAnswer: -4165\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 136 and 228463?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 33 + 119 = -2*x, -3*x = -2*l + 305. Calculate the remainder when l is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32320 and 192.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**5 + 216*k**4 + 2696*k**3 + 5988*k**2 - 2698*k - 6204 = 0. Calculate k.\nAnswer: -94, -11, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + -32. Let w(g) = -g**2 - 4*g + 7. What is the smallest common multiple of 7 and w(d)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of 1\/480*z**5 + 7\/192*z**4 + 16 + 0*z + 1\/8*z**3 - 11\/2*z**2. Let w(h) be the second derivative of y(h). Factor w(a).\nAnswer: (a + 1)*(a + 6)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4*k + 3. Let d be h(0). What are the prime factors of 73\/d + 4\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 h when four letters picked without replacement from mmhmhhm?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -145.7 - 17212541\nAnswer: -17212686.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 20*b + 1508. Let n(u) = -69*u - 4525. Give -2*n(z) - 7*r(z).\nAnswer: -2*z - 1506","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67542823?\nAnswer: 67542823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence av when two letters picked without replacement from {g: 4, a: 1, v: 5, m: 1, d: 1}?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1437 and 1274619.\nAnswer: 1437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 5*d - 1. Let f(j) = 30*j. Let o(p) = -7*p. Let m(z) = 2*f(z) + 9*o(z). Let k(r) = -3*m(r) - 3*w(r). Determine k(-5).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u - 1. Let k be (-633)\/(-6) + (-6)\/4. Suppose 3*z = -z + k. Suppose 4*m + d = 9, 5*d - z = 4*m - 5*m. What is r(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2545319 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b - 7. Let r be (3 - 1)\/((-2)\/(-4)). Let j = -4 + r. Suppose j = m - 2*y + 5, -2*m - m + 3*y = 3. Let f(z) = 3. What is m*i(a) + 7*f(a)?\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -w**5 + 8*w**3 - 2*w - 130.\nAnswer: -20*w**3 + 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 0*y - 3*y)*(-21*y**2 - 163*y**2 + 3*y**2).\nAnswer: 362*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45 - 56 + 255 + 178)*(0 + 0 + 2*j).\nAnswer: 844*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1727 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**3 + 21*z**2 - 4*z - 8. What is c(-11)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2200535 (base 6) to base 4\nAnswer: 122220023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuh when three letters picked without replacement from uhhuhuuuuuuuuuuhuuuh.\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*h + 37 + 36 + 38*h - 74.\nAnswer: 50*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 602050 and 19150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-66 - (-2 + -97)) + (-5 - (0 + -4)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 5) to base 3\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-4)*(-12 - 62). Suppose -2*q + 7 = -k. Solve -6 = -2*t + x, -4*x - x = 3*t - q for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(136) - sqrt(136)*3) + sqrt(136) + 1*sqrt(136)*-1)\/(-5*(sqrt(392) - 2*sqrt(392)*1)).\nAnswer: -2*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70a9 (base 16) to base 6.\nAnswer: 341305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 64.141 + -64.1380473. What is u rounded to 4 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 164082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -5*s**2 + 33*s + 14. Let h be w(7). Determine c, given that -1\/3*c + h*c**2 + 0 + 1\/3*c**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - sqrt(144)\/(sqrt(56)\/sqrt(7)))\/sqrt(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21002 - -20112000?\nAnswer: 20020221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - -108. Suppose -6*z = -7*z - w. What are the prime factors of (9\/12)\/((-1)\/z) + -2?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-201*y**2 + 327*y - 327*y)*((3*y - 2*y + y)*(-2 + 4 - 4) + 11 + 3*y - 11).\nAnswer: 201*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4862922790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29161\/516 - 679\/12. Is -4 >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 953085 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/463750 and 87\/4550.\nAnswer: 6028750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -88, -111, -134?\n\"Answer: -23*t - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*n**5 + n**5 + 0*n**5 + (3 - 4 - 1)*(-n**4 - 2*n**5 + n**4) + (0*n**4 + n**4 - 2*n**4)*(-2 + 2 - 2*n).\nAnswer: -5*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is c55c (base 13) in base 3?\nAnswer: 1101102121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -3333*j - 3*j**2 + 336*j + 94 - 94 = 0?\nAnswer: -999, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.864845ng in grams?\nAnswer: 0.000000000864845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(300) - -4*(sqrt(27) - sqrt(3))) + 1.\nAnswer: 1 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 639757265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.01610462 rounded to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -25794475 to the nearest 100000.\nAnswer: -25800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjh when three letters picked without replacement from {i: 3, y: 5, h: 1, j: 3}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3951350639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-40.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 - -5?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 0, 14, 28, 42?\n\"Answer: 14*s - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 4267 = 4239 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-28)\/14)\/2)\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5\/4*s**5 - 125*s**2 - 255\/2*s**3 - 165\/4*s - 45*s**4 + 0 = 0. Calculate s.\nAnswer: -33, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (43 - 1)*3\/6. Let i = -4 + a. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 8. Let x = 1.4 - k. Let w = x + 0.7. Is 0.1 >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hnn when three letters picked without replacement from nnhhhhhhhh?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/2)\/((-3)\/30). Solve 0 = -2*f + i*f + 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -12*l**2 - 9*l + 7. Let b(w) = 4*w**2 + 3*w - 2. Let h(g) = -14*b(g) - 4*f(g). Find the second derivative of h(q) wrt q.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 4336416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 683 + -683.2. Sort -30, 0.4, 0.1, f in ascending order.\nAnswer: -30, f, 0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2818 + 2528 = 6*m. Let n be (-11)\/(m\/(-18))*3\/(-6). Let i = 1.3 - 0.3. Which is the nearest to 2\/7? (a) 5 (b) i (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*y - 2 = 0, -2*h - 3*h = -y + 25. Let v be 0*(4\/8 + 0). Put v, h, -3 in ascending order.\nAnswer: h, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h + 49 - 30 = 341. What is the remainder when 1126 is divided by h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 36*m**3 + 106*m**2 - 10*m - 13. Let b be j(-3). Suppose -i - 4*x = -1 - 1, -5*i = x + 9. Put b, i, 0 in decreasing order.\nAnswer: 0, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -85\/3 - -28. Which is the second biggest value? (a) o (b) 3\/5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14209 - 902 = -313*b - 17958 - 2226 for b.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a - 3. Suppose -4*x = -2*n + 42, 0 = 5*n - 0 - 25. Let j = x + 3. Let d be p(j). Solve -4*v = -l + 25, -d*l - 2*l - v + 15 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -67*g + 526. What is x(8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -328*d - 299435 = -276475 for d.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + (sqrt(288))**2).\nAnswer: -572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -13843, -13844, -13845, -13846, -13847?\n\"Answer: -o - 13842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4 - (37 + -1))\/((-3)\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (0 + 0 + -4). Let d(v) = v**2 - 21*v + 115. Let m be d(10). Solve m*n + 23 = -b, -z*b - 35 = 2*n + 3*n for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence whrw when four letters picked without replacement from {o: 1, w: 2, v: 4, r: 2, z: 1, h: 7}.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 3*y - 393, 0*y - 48015 = -6*y - 48039 for o.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3613, 25, -4, -1, 2 in ascending order.\nAnswer: -3613, -4, -1, 2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17510127.9 - -84?\nAnswer: 17510211.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**5 + 136*t**4 - 996*t**3 + 2192*t**2 - 1930*t + 600 = 0. Calculate t.\nAnswer: 1, 5, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2923*c**2*s**3 - 258541*c**2*s - 21*s**3 wrt s?\nAnswer: 17538*c**2*s - 126*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17364?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 762503504 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*f**2 + 14*f**3 - 18*f**2.\nAnswer: 14*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (((-9)\/4)\/(-1))\/((-18)\/(-24)). Solve 4*l - 3 = 3*b, -3*b + l + r = -l for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*j - 5*j - 2*j**2 - 9*j.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, d: 1, e: 1, n: 1}. What is prob of picking 1 d and 2 b?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 - 25.64. Is p > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -6*o**2 - 2704*o - 34141. Calculate f(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1822485 rounded to 2 decimal places?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1112097?\nAnswer: 3, 7, 52957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -9. Let h = t + -7. Let l = h - -15. What is the nearest to -2 in 3, l, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 39.02 (b) 5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*i**4 + 8\/9*i**3 + 0*i**2 - 2\/9*i**5 + 0 + 0*i.\nAnswer: -2*i**3*(i - 1)*(i + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7989 - -7994. Solve -2*h + 5 = b, -40*h + 44*h - 45 = z*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -57*q**4 + 1849*q**3 + 1445*q**2 + 511.\nAnswer: -1368*q + 11094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -1\/20*b**5 - 5\/6*b**3 + 1\/2*b**4 - 2 + 4*b - 3\/2*b**2. Give a(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-7\/2)*c)**(-3\/8) assuming c is positive.\nAnswer: c**(-33\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.022, 2205, 349 in ascending order.\nAnswer: 0.022, 349, 2205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - (-2)\/(-1))*17. Let b = 314 + j. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 3*h**2 + 5*h + 3. Let n be z(4). Let j(t) = -t**2 - 2*t + 14. Let r be j(0). What is the highest common factor of n and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y + 2*y**2 - 4*y)*(0 + 2*y + 0) + (-1 + 4*y + 1)*(-3*y**2 + y**2 + 4*y**2) - 5*y**3 + 5*y**3 + y**3.\nAnswer: 13*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*n**5\/3 - 745*n**4\/3 - 240*n**3 + 985*n**2\/3 + 520*n\/3 + 20 = 0 for n.\nAnswer: -6, -2, -1\/4, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9344?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -4) + 3 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fajafaafsfaafa. What is prob of picking 2 a?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -19*f - 11. Let y be i(3). Let v = -64 - y. Sort v, -4, -1, 0.\nAnswer: -4, -1, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of 5549*i**3\/3 - 4763*i**2\/2 - 2*i + 367. Differentiate g(m) with respect to m.\nAnswer: 11098","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.02622 + -40.02622. Put -0.2, 5, c, -4, -11 in descending order.\nAnswer: 5, -0.2, -4, -11, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*o - 1108 + 13518 = 154*o + 40*o for o.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -166, -4, 5 in decreasing order.\nAnswer: 5, -4, -166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.8 - 3. Let m = 0 + v. Let d = 8.23 - 6.23. What is the nearest to -1 in 0, d, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4\/5)*x*x**2\/x)\/(((x\/(x*x*x*x\/(x**35\/x*x)))\/x*x*x)\/x**(-1)) assuming x is positive.\nAnswer: x**(-164\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*n + 56 = -104 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m. Let f(d) = 726434*d. Determine k(f(o)).\nAnswer: 726434*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1052, -1050, -1048, -1046, -1044?\n\"Answer: 2*b - 1054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 15692435609722.\nAnswer: -15692435609721.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 42*d**2 - 40*d + 87. Give p(-44).\nAnswer: -2025","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5811, -6, 0.02, 0.9, 1.\nAnswer: -5811, -6, -2, 0.02, 0.9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/6)\/((-1)\/12). Let q be ((-18)\/10)\/(6\/20). Let b be (q + 2\/1)*(-18)\/24. Solve h = b*t + 4, t + 2*h + y = -t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b - 6 = 9*b. Let y be 10 + -6 + b + -3. What is the first derivative of -2*s**2 + 7*s**2 + 2*s**y - 2*s**2 + 11 wrt s?\nAnswer: 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5627*z + 28137. Determine y(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 385 is divided by 62?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3161 + -3147. Sort -25, -2, x in descending order.\nAnswer: x, -2, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**3 + 15*l**2 + 10*l - 13. Calculate the remainder when 58 is divided by h(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1069, 55, -5 in descending order.\nAnswer: 1069, 55, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = -3*v. Suppose v*a - 60 = -2*a. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 7*h**2 - 8*h + 5. Give w(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8269274219 rounded to two decimal places?\nAnswer: -2.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 99557 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 99*h - 466. Let a be v(-5). Solve -a*m + 5*w = -19, -w + 5 - 8 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 67*p**2 + 21*p - 448. Determine w(67).\nAnswer: 959","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + 43 - 37 - -37 - 66?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 340, 345, 360, 391, 444, 525, 640?\nAnswer: 795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -291*m**4 + 87*m**5 + 2493*m - 1681*m + 1951*m + 15*m**4 + 3*m**2 - 88*m**5 wrt m?\nAnswer: -20*m**3 - 3312*m**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**10)\/(q\/(q**(4\/13)*q*q)))\/(q\/(q*q**(-15))*q\/((q**7*q*q)\/q)) assuming q is positive.\nAnswer: q**(-204\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 522, 638, 914, 1404, 2162?\n\"Answer: 9*q**3 + 26*q**2 - 25*q + 512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 48 + 17.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/7 (b) -2\/5 (c) -3\/11 (d) -3\/49 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 87255 and 945?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303811494 is divided by 466?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -8*x + 65. Give d(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/110*(-4)\/((-24)\/(-15)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n - 2212 + 2213 + 2*n**2 - 4*n**2 + 0*n. Let p(t) = -8*t**2 - 3*t - 3. Let w(l) = -p(l) + 3*q(l). Let r(y) = 2*y**2. Calculate r(w(f)).\nAnswer: 8*f**4 + 48*f**2 + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 2\/19 (b) 2\/503 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-2189)\/(-15323) - 188\/(-7)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3012087053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -96? (a) 1\/5 (b) -0.3 (c) 8 (d) 4 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.002 times -1415\nAnswer: 2.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + (sqrt(147) + 0)**2 + (sqrt(147) - ((1 + sqrt(147))*3)**2))*6.\nAnswer: -14232 - 1428*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 247 and 130296283?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 2:53 PM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**3 - 10892*t**2 + 1466660*t - 48215700.\nAnswer: -4*(t - 65)**2*(t + 2853)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 z when two letters picked without replacement from nzzxzxzzxpzzzzzxz.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {o: 4, d: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -6470 equal to 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 485761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266*m + 197*m - 200*m + 70 + 237*m.\nAnswer: 500*m + 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2232*p**2 - 343*p - 1371. Is b(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.058 and 0.2845.\nAnswer: -0.016501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d. Let b(i) be the second derivative of -5*i**5\/24 + 7*i**3\/3 - 27*i. Let m(k) be the second derivative of b(k). Determine x(m(c)).\nAnswer: 25*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 16*z**2 + 7*z + 2. Calculate h(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11677815 divided by -3892605.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -23009 divided by 1?\nAnswer: -23009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1*(1 + sqrt(1700)) + (sqrt(1700) - (sqrt(1700) + 0 + sqrt(1700) + 4))))**2.\nAnswer: 1800*sqrt(17) + 61425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 123 + 20. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.01 or 48?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + (sqrt(22)\/(sqrt(12)\/sqrt(6)))**2 + 4 + sqrt(33)\/sqrt(3).\nAnswer: 2*sqrt(11) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4*11\/(-132))\/(1\/9). Let y = 179 + -185. Sort 5, l, y, 2 in descending order.\nAnswer: 5, 2, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -19\/2 (b) -0.3 (c) -4\/181 (d) -201\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 14455 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10167.\nAnswer: 3, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -4*x + 672. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/723 - -731\/2892. Let g(k) = k**3 - k**2 - 2*k + 3. Let l be g(2). What is the third biggest value in -2, l, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 45*k**2 - k - 1. Let o be z(-1). Suppose 4*l - 12 = 2*x - 5*x, 2*x + 5*l - 8 = 0. Solve x*n + o = 5*q, 4*q + 3 = -5*n - 2 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 + 13. Let r(n) = n - 3. Let k be r(0). Does 13 divide (-8)\/d - 76\/k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y + 0 - 11\/6*y**2 + 1\/6*y**4 - 1\/3*y**3.\nAnswer: y*(y - 4)*(y - 1)*(y + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 6:06 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 135 - 96. Let r = l + -43. Which is greater: r or -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -314748 rounded to the nearest 1000?\nAnswer: -315000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 85936412857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6)\/(20\/12*(-1)\/(-40))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 231589, 232205, 232817, 233425, 234029, 234629?\nAnswer: 235225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2773 - -7992. Calculate the greatest common divisor of 17 and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -5*b + 4*b - 3*b - 8*b. Let t be ((-5)\/2)\/(-1)*(-68)\/(-85). Let v(x) = -x. Let m(s) = t*y(s) - 18*v(s). Determine m(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.1, 0.15, 3, 0.5, 29?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -33932 divided by 34?\nAnswer: -998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*o + 179 - 75 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.2615454 times 5\nAnswer: -1.307727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -3\/8 (b) -1\/6 (c) 0 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -0*m. Suppose m*n + z - 12 = -4*n, 5*z + 6 = 2*n. Let y(i) = -6 + i**n + 3 + 5*i**2 - 3. What is y(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -83 + 87. Suppose 0 = -5*v - j + 12, 2*v + h*j = 3*v - 15. Suppose -2*g = 6*o - 5*o - 516, v*g = -5*o + 781. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*t - 1986 = 31*t. What are the prime factors of t?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/285 (b) 0.2 (c) -1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of o**4\/2 - o**3 + 3*o**2 + 4*o. Let l be r(8). Let f be l\/95 + (-6)\/10. What is the smallest value in -1\/3, f, 0.4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*j - 294 = -91*j + 938 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4329, 8487, 12645, 16803, 20961?\n\"Answer: 4158*l + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -47, -328 in decreasing order.\nAnswer: 3\/5, -47, -328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 - 0.2. Which is the biggest value? (a) 2 (b) r (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, v: 1, y: 2, b: 2, w: 1, d: 7}. Give prob of sequence yvzd.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24500 and 44310?\nAnswer: 15508500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -156 divided by -52.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 13*n = -98, 8895742*p = 8895747*p + 2*n + 32 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 25. Let o be 2*(l + 1 + -3). Let p(g) = 2*g**2 - 15*g + 16. Let u be p(14). Calculate the highest common divisor of u and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 11, -1 in decreasing order.\nAnswer: 11, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1780376 and -0.8.\nAnswer: -1424300.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 184*d*f**3 - 193*d*f**2 + 7*d*f + 4514859*d + 2*f wrt f?\nAnswer: 552*d*f**2 - 386*d*f + 7*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-531)\/590)\/((-108)\/(-30)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 569 a factor of 3553668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 2*l**2 - 32*l**3 - 9 + 6*l**4 + 4*l**3 - 2*l**3 as g + q*l**2 + t*l + b*l**3 + k*l**4 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*n + 1 - 29*n**2 - 30*n + 6*n**2 as c*n + h*n**2 + r and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = 2*z + 4*k - 102, -5*z - 4*k = -654. Suppose -z*u + 324 = -121*u. Solve 0 = 4*n - 2*r - u + 10, -r + 7 = 2*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 - ((20 - 40) + 36).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1220264, -2440564, -3660864, -4881164, -6101464, -7321764?\nAnswer: -8542064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18924 and 54.\nAnswer: 170316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -16*(0 + (-3)\/3). List the prime factors of (-1*(v - 3))\/(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bnzmzmznnnnmzzmz. Give prob of picking 1 m and 2 n.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0307 - -0.9693. Let y = 0.36 + -15.36. Let j = -17 - y. What is the fourth biggest value in j, -0.5, i, -1.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74 + -64. Let a = 4 + 5. Let z = 79 - a. Calculate the greatest common divisor of z and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 42*v**4\/13 + 26*v**3 + 226*v**2\/13 - 2090*v\/13 - 100\/13 = 0.\nAnswer: -5, -1\/21, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5610 and -20.\nAnswer: 112200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2085*v = 2448*v - 213051 for v.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19316173 a multiple of 883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r + 0 + 7*r - 1 + 5*r as l + z*r and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*q**2 + 497*q**2 - 174*q**2 + 2*q**3 - 159*q**2.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 4 (c) 11 (d) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**2\/3 - 20694*k + 321181227 = 0. What is k?\nAnswer: 31041","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 234967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -13*p**2 + 65 - 5*p + 62 - 134. Let t(c) = 28*c**2 + 10*c + 15. Let x(h) = 13*o(h) + 6*t(h). Determine x(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + f + 28*f**2 - 4*f)*(8 - 8 + 3*f).\nAnswer: 84*f**3 - 6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.284 * 6.\nAnswer: -1.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*n**5 + 174142573*n**3 - 116573151*n + 1 wrt n.\nAnswer: -40*n**3 + 1044855438*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 675 + -656. Calculate the remainder when 339 is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.8 - -1.5. Let u = 420 - 455.3. Let t = u + 35.3. What is the closest to t in -0.4, k, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*v**3 - 505*v**2 + 1370*v - 280 = 0. What is v?\nAnswer: 2\/9, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -221111110 (base 3) in base 14?\nAnswer: -6aba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -98, -145, -192, -239, -286?\nAnswer: -333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1894 = -4*b + x, b - 2*b = 3*x + 480. Let f = 476 + b. Solve -a = f*a - 3*k + 12, -5*a + 7 = 4*k for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**3 + 337*y**2 - 749*y - 13677. Calculate s(166).\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.174 in -2\/3, -5, -565?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7\/4)\/(2\/8). Let r = l - 2. Suppose 8 = -r*u + 58. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 521 - 474. Suppose -5*v + 27 = -2*v. Let k = h + v. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -11*a - 521. Give d(-44).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -13*p + 10*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(-99*n**4 + 3*n**3 - 5*n**3 + 106*n**4).\nAnswer: -14*n**4 + 4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/2*36\/27. Suppose -11*n + q*n = 690. Let p = n + 376\/3. Find the common denominator of p and -56\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 0 - 3*i**3 + i**3 - i + 1. Let p be z(1). Let d be -1 - (1 - (-10)\/p). Solve -d*g - b - 6 = 2*b, -1 = -4*g + 5*b for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -63*t + 270. Let g(p) = 9*p - 40. Let s(y) = 4*c(y) + 27*g(y). Let b(h) = h. What is s(b(q))?\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 295637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3d9 (base 14) to base 4.\nAnswer: -30023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24385828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -508, -2, 4, 3.\nAnswer: -508, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -511 = 3*i - 514 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 1:40 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 2*a + 17 = 0, -128 = 2*m + 4*a - 126 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -268 - -1349\/5. Suppose 5*f - 10 = 4*y + 10, 8 = 2*f. Which is the third biggest value? (a) y (b) p (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 42\/(-54) - (70\/63)\/5. Put -4545, 2, n in decreasing order.\nAnswer: 2, n, -4545","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21594530 to the power of 1\/3, to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 0. Let a(u) = -u**3 + 3*u**2 + 3*u + 3. Let h(k) = -2*k**2 - 2*k - 3. Let c(j) = d*h(j) - 2*a(j). Find the first derivative of c(f) wrt f.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -5*i. Suppose i*t - 2*t = a - 11, -4*t = 3*a - 27. Let d = t - 0. Solve -8 = d*x + x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f - 256*f**2 + 136 + 461*f**2 + f - 197*f**2. Let z(n) = -2*n**2. Determine z(t(o)).\nAnswer: -128*o**4 - 4352*o**2 - 36992","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 3*k - 129. Determine q(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - a + 2*a)*(142 + 169 - 1822).\nAnswer: -3022*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -m - d, 4*m - d - 15 = 0. Solve -4*p = u + 23, m*p + 1 + 30 = -2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -7\/1684?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 182 and 56770.\nAnswer: 738010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(-19)*f\/((f**7*f*f)\/f)*f*(f**(-9\/7)*f*f)\/f**(-1\/8) assuming f is positive.\nAnswer: f**(831\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239997991.\nAnswer: 239997991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -11*i - 10. Let t be p(-7). Let d(s) = s**2 - 32*s + 250. Let r be d(26). Let z = r - t. Which is the nearest to 0.1? (a) z (b) 0.1 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 10:01 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 2\/7 (b) 1 (c) -1\/6 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of c**7\/70 - 53*c**6\/24 + 29*c**5\/2 + c**3\/3 - 20*c**2 + 29*c. Find the third derivative of g(w) wrt w.\nAnswer: 72*w - 1590","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of 0 - 7*g + 0*g**2 + 0*g**4 - 1\/4*g**5 - 2\/3*g**3. Find the second derivative of f(v) wrt v.\nAnswer: -30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68187 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/4)\/(12\/((-16704)\/(-957))).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132773*m + 445378*m + 243066*m.\nAnswer: 821217*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 182 and 6.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*3 + 0 + (1 - 940\/(-180)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -29*b**4\/24 + 105*b**2\/2 - 83*b. Let r(y) be the first derivative of x(y). Let d(u) = u**2. Determine d(r(i)).\nAnswer: 841*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 600379547?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2462 is divided by 112?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 77*z**4 + 7*z**2\/2 - 6501*z + 7052. What is the first derivative of p(u) wrt u?\nAnswer: 924*u**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*a - 26 + 8 - 6, -5*a + 1 - 15 = z - 2 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -j**2 + 0*j - 8\/3*j**3 - 2. Suppose n(w) = 0. What is w?\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 192*u**5 + 18864*u**4 - 14220*u**3 + 3561*u**2 - 297*u.\nAnswer: 3*u*(u + 99)*(4*u - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000018892 to seven dps.\nAnswer: 0.0000189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 6530616\nAnswer: -6530615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*d**2 - 143*d - 60*d**2 - 8 + 67*d + 72*d.\nAnswer: -75*d**2 - 4*d - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42139?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 less than -43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 329*i + 2. Is a(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75469 and 7408.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149553*q**3 + q + 0 - 298870*q**3 + 0 + 149513*q**3.\nAnswer: 196*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/(-16))\/((-2)\/(-4)). Put 2\/7, -3, b in ascending order.\nAnswer: -3, b, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 14*w**2 + 9*w + 75. What is the remainder when i(12) is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 2*l + 3*l - l - 2*l + 2*l + (1 - 1 - 2*l)*(1 - 3 + 0) + l + 2 - 2)*((0 + 2 - 3)*(5 + 1 - 2) + 1 + 0 + 0 + (1 - 2 + 2)*(-1 + 3 + 0) + 6 + 1 - 10).\nAnswer: -36*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 9757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 262 + -3?\nAnswer: 25b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65950 = -4*z - n, 51*z + n = 55*z - 65938. Is z a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -165 divided by -173\nAnswer: 165\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 417563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49887455?\nAnswer: 5, 1361, 7331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -427, -415, -403?\nAnswer: -391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.2 (b) -1096 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3 + 23*b**2 + 16208*b - 114240.\nAnswer: -(b - 136)*(b - 7)*(b + 120)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5*g = 109, -5*y = -7*g + 5*g - 287. Suppose 0*a + f + 57 = 4*a, -y = -3*a - 4*f. Does 3 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 110243309 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (38\/4 - -2) + 21\/(-14). Is 1475\/45 + u\/45 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(-2)\/((-2)\/(-9)). Let y(u) = -2*u - 3. Let k be y(b). Solve 0 = -c + 4*c - k for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.163 - 0.2. Let o = d + 0.837. Which is bigger: o or -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 112453472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n - n - 2*n)*(-1 + 1 - 1) + 1095 - 142*n - 1095 - n + 2*n + 0*n + 2*n - 3*n + 7*n.\nAnswer: -138*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34356)\/(-818)*2\/4.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.35 + 39.65. Let p = x - 75. Let n = 35.000108 + p. Round n to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.2556 - -1.3056. What is the fifth biggest value in -0.17, -0.4, t, -9, -4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 11*z**2 - z - 7. Let p be l(-11). Differentiate 0*a**4 + a**p - 2*a**4 - 1 - 3 with respect to a.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 918633 and 0.2?\nAnswer: 183726.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -9. Let j = 0 - -4. Suppose -j*h - 15 = -79. Solve -4*k - 28 = g*y, -3*k - y - h = k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, w: 1, e: 1, j: 2}. What is prob of sequence jwrr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 + -16. Let q = 129 + i. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3101200101201 + -1?\nAnswer: -3101200101202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 2, -167914 in decreasing order.\nAnswer: 4, 2, -3, -167914","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-1)\/(-1))\/(1399\/(421099\/(-1806)))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -104*n + 4252. What is l(41)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 132696 to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - -4. Suppose m - 4*h = 2*m + i, 0 = m + 3*h + 6. Suppose m*y - 8 = -4*y. Solve -4*w = g + 5, 10 = w + 4*w - y*g for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22\/11*(-11)\/(-990)*15\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 - 118\/3. Let n = -7.7 - -8. Which is the nearest to 2\/5? (a) -4 (b) k (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u. Let n be (9\/(-3) - 3\/1) + 1. Let d(i) = 2*i**2 + 7*i + 12. Let o be d(n). Let x(h) = 1678 - 1678 - o*h**2. Calculate x(p(w)).\nAnswer: -108*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o**3 + 78*o**2 - 30*o - 148. Let b be y(19). Suppose -n = 4*n - 115. Solve -n = 5*i - 4*t, 5*i - 3*t + b = -17 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n. Let g(p) = -4*p. Determine -24*d(f) + 4*g(f).\nAnswer: -40*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(3 - (3 + 2)). Suppose 4*q - r*q = 2*g - 489, 2*g - 514 = -4*q. What is the greatest common divisor of 19 and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 87515?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -68512 or -68607?\nAnswer: -68607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 37000 and 420?\nAnswer: 777000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12511.72 or -0.8?\nAnswer: 12511.72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -14630 divided by 2926?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 >= 1959352?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*s + 5*s = 587, 3*s = -9. Put d, 0.4, -1, 2 in decreasing order.\nAnswer: 2, 0.4, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.021 - -2.479. Let s = 6.2 - p. Let r = -3.5 + s. Which is the third smallest value? (a) r (b) 5 (c) 2 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52878552, -52878554, -52878556?\nAnswer: -52878558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 29371568 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -115*b**6 - 4*b**5 - b**4 + 96*b**2. Let o(z) = z**5 + z**4 - z**2. Let h(f) = d(f) + 4*o(f). What is the third derivative of h(c) wrt c?\nAnswer: -13800*c**3 + 72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5*-9)\/(8\/12). Let s = 80 + v. Calculate the common denominator of s and 4 - (966\/(-308))\/(2\/(-4)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -5 (c) 2\/5 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -55 + 57. Solve j*c + 15 = -3*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 14 - 44 = 4*q, 4*q + 12 = -4*c. Let x be (-1 - 14)*2\/q. Let b = x - 2. Solve -b = -0*p + p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 49039949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ykccycyfckcyaccycy. What is prob of sequence cky?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4*d + 2, -2*w + 0*d - 2*d + 14 = 0. Solve -6 = 6*g + w for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -755 by 5.\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144451 is divided by 43?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 64820387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 2 - -1) + (108 - 112)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 205*u**3 + u**2 + u - 1. Let b(j) = j**2 - 4*j + 2. Let n be b(4). Let y be w(n). Let a = y + -978. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -198 at most as big as -4548\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 2*y - 28, -t + 12*y - 11*y - 9 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a week in minutes?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 964 (base 12) to base 16.\nAnswer: 55c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 9*g**2 + 10*g - 3. Let k be j(10). Let m(i) = -3*i. Let h(f) = f. Give k*h(r) + m(r).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-3)\/((-12)\/(-14)) - 18.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -7. Suppose 4*g - f = -3*f - 50, 60 = -5*g - x*f. Let v = g + 23. Does 6 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -1016*u**2 + 2098*u - 11. What is c(2)?\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 466981167?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53 - 48 - 820*s**2 + 24*s - 27 - 5.\nAnswer: -820*s**2 + 24*s - 133","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/23 in 0.3, -2\/16585, 1?\nAnswer: -2\/16585","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 104 + -26565542?\nAnswer: -26565435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 13*r - 24. Let i be j(8). Let y = i + -56. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8189 and 3017.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f + 142. Suppose 27 = 5*n - 83. Calculate the remainder when o(n) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 338 + -276. Suppose -10*z = 21*z - q. Factor -5\/2*t**3 + 0 - 7\/6*t**5 + 1\/3*t - 1\/6*t**z - 19\/6*t**4.\nAnswer: -t*(t + 1)**3*(7*t - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -56*c**2. Let d(o) = 130985*o**2. Determine l(d(h)).\nAnswer: -960795932600*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 17*b**3 - 5*b. Let v(k) = k**3 + 2*k**2 - 7*k - 3. Let a be v(-3). Let u(t) = 2*t + 2*t - 3*t - 4*t**3. Calculate a*u(m) + 2*w(m).\nAnswer: -2*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*z - 0*z + y, -5*y + 21 = 4*z. Suppose -4*w - 2 - 2 = 0. Let p be (-5 - -3) + (-3)\/w. Solve n + m = z*m + p, 0 = -n + 5*m + 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 31*n**2 + 296*n - 1053. What is m(15)?\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -2375, 2, -8, 0 in decreasing order.\nAnswer: 3, 2, 1, 0, -8, -2375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19120 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 8 = 5*h. Suppose -h*c + 26 = 5. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/376*10632\/(-34). Let o = 90\/47 - q. Which is smaller: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 560, -18, 4, 3, -6 in decreasing order.\nAnswer: 560, 4, 3, 1, -6, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 + 5258*u + 822308.\nAnswer: 2*(u + 167)*(u + 2462)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*d, 0 = -2*z - 4*d - 6 + 30. Differentiate 2*o**2 + 9*o**2 + 36*o**z - 33 + 50 with respect to o.\nAnswer: 94*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h**2 + 2*h - 1. Let i be b(1). Solve -30 = d + 5*c, -3*d = -i*c - 3 - 2 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2373716240 rounded to the nearest one million?\nAnswer: 2374000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 483738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/10123 or 1?\nAnswer: -2\/10123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 65, 124, 177, 224, 265?\n\"Answer: -3*j**2 + 68*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.2 + -6.8. Let q = w + 7.6. Which is the biggest value? (a) -0.2 (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1935 - -1930. Let q be ((-4)\/(-45))\/(22\/(-55)). What is the third biggest value in 2\/15, n, q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s**3 - 8*s - s**3 + 0*s)*(44*s - 23*s + 19*s) as x*s**4 + i*s + t*s**2 + c + j*s**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144159.\nAnswer: 3, 29, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 72613 or 71780?\nAnswer: 71780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**2\/9 - 5932574*q\/3 - 35595452\/9 = 0.\nAnswer: -2, 8898863","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14431\/13 <= 1111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -58, -131, -232?\nAnswer: -361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15354984?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -350164000 to the nearest one million.\nAnswer: -350000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4492 * 88.93\nAnswer: 399473.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - o = 0, 3*d = -3*o + 8*o + 12. Which is the nearest to 1? (a) -5 (b) d (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 7*p - 7. Let j be r(-4). Suppose 4*f + 2*i - 2 = -0*i, 0 = j*f - 2*i + 20. Let q(k) = k**3 - 6*k**2 - 2. Let o be q(6). Is o at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 56? (a) 8 (b) -0.1 (c) 0.2 (d) -39161\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/5 + 16*d**2\/5 + 42*d\/5 + 36\/5.\nAnswer: 2*(d + 2)*(d + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*v = 80. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 4 = -d. Let r(h) be the second derivative of -h**5\/20 - h**4\/2 + 19*h**3\/6 + 33*h**2\/2 - 26*h. What is the remainder when r(-8) is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -2a44?\nAnswer: 2a47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*i - 79*i - 46*i - 5*i as o + z*i and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.8 + 2.8. Let s be ((-12)\/18)\/(16\/12). Which is the nearest to s? (a) -2 (b) 3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 9}. Give prob of sequence gg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7977858 - -78.41.\nAnswer: 79.2077858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 c, 1 g, and 1 z when four letters picked without replacement from {g: 6, u: 1, z: 1, s: 2, t: 3, c: 2}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288*w + 17 = -1199 - 10880 for w.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2087387153 to the nearest one million.\nAnswer: 2087000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4 = -2*k. Let v be ((-20)\/8)\/(k\/2). Calculate the common denominator of 15\/(-10) - (-1)\/v and -63\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*r = 95*r - 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11266*v**5 + v**2 + 40487 wrt v?\nAnswer: 675960*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-40)\/(-76)*3\/15. Suppose 3*w + 8 = -w. What is the nearest to w in i, 5, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, t: 5, c: 8}. What is prob of sequence ce?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001717 rounded to 7 decimal places?\nAnswer: 0.0000172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2280 + -2259. What is the least common multiple of 210 and z?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1186*z**3 + 2334?\nAnswer: 3558*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1544, -1295, -880, -299, 448?\nAnswer: 1361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -157 (base 11) to base 16\nAnswer: -b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 32122732?\nAnswer: -1\/8030683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1026136 (base 7) to base 10\nAnswer: 124585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 795 a factor of 68280180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/5 - 1126*g**2\/5 - 32032*g - 94080.\nAnswer: -2*(g + 3)*(g + 280)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*d + 2*s = 27*d + 149, 15 = 5*s. Calculate the highest common factor of d and 403.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -141.99919 - -142. What is a rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 4*o - 2. Let y(h) = -2*h**2 - 5*h - 8. Let z be y(-5). Let u = 34 + z. Suppose 0 = 6*m - u + 13. Give r(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**2 - 57*s**2 - 27*s**2 - 65*s**2 - 18 + 2*s - 17*s**2 to x + a*s + g*s**2 and give x.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 962.\nAnswer: 1\/481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x + 6 = 13*x. Let b(w) be the third derivative of 0*w - 1\/60*w**5 - x*w**2 + 0 - 1\/24*w**4 + 0*w**3. Find g, given that b(g) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*l + 116, 3*i + 12 + 0 = 0. Is 12 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*r**4 + 36655*r - 379487 wrt r.\nAnswer: -16*r**3 + 36655","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of f**4 + 2*f**3\/3 + 13*f**2\/2 - 41. Find the third derivative of v(a) wrt a.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 132007641?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 811.2 less than -0.29612782?\nAnswer: -811.49612782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8074262 divided by -2\nAnswer: -4037131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 46753907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 36c7 + -132?\nAnswer: 3595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 55 - 52. What is the third smallest value in b, 0.1, 0.3, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/2*283720\/1384*2\/(-10)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/4 - 1164957*z\/2 - 452374937283\/4.\nAnswer: -3*(z + 388319)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22010878171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2448) + 1 + 4 + (sqrt(2448) - ((-2 + sqrt(2448))*4)**2).\nAnswer: -39227 + 792*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - h - 6)*(0*h - 3*h**3 + 0*h**3 - 2*h).\nAnswer: 3*h**4 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*s + 3*s**2 - 3*s**2 + 3*s**2)*(14 - 23 + 14) to the form d*s + r + w*s**2 and give w.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 43*o - 5 + 37*o in the form g*o + x and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168*b + 325*b - 168*b.\nAnswer: -11*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 39*p + 28346516. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 28*y - 350. What is the lowest common multiple of q(22) and 76?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - -2) + 1 + 3. Suppose r + 4 = q, 5*r + 9 = 4*q - 10. Find the first derivative of 2 + b**g + q - 2 wrt b.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74079 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -478, 136, -2\/7, -0.4?\nAnswer: -478","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*l + 53*l = 45440. Is -2841 < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 153871 + -14462.\nAnswer: 139409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 751678714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4}. Give prob of sequence ff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 + -2*(4355\/60)\/(-13) and -103\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(6\/7)\/(r**10*r))**(9\/7))**(-13\/5))**9 assuming r is positive.\nAnswer: r**(74763\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1654097 and 135314.\nAnswer: 2333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3871 + 3885. Which is the closest to s? (a) 1\/3 (b) -2\/85 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 5*b - o - 86 = 0, 2*o = 8. Suppose -4*g + 22 = -b. Let a = g - -3. Calculate the greatest common divisor of 104 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of i**6\/720 - i**5\/60 + i**4\/24 + 5*i**3\/2 - 48*i**2. Let a(q) be the second derivative of s(q). Determine a(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 110 + 23 = -5*d + 21 - 120, 0 = -3*d + 12 for l.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 422 - 423 + m - 4*m**2 + 5*m - m**2 + 3*m**2 as h + c*m + g*m**2 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-3*(-2)\/6). Let h be (-4 - -5) + -4 + f. Let p be ((-10)\/h)\/(1\/(-5400)). What is p rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33422 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -1.9.\nAnswer: -0.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 23 + 22 = 0. Suppose 384 = -4*h + 8*h. Let c = 140 - h. What is the remainder when c is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1603 is divided by 196?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 4*g - 37. Let f be i(11). Let o be (2 - (f - 6))*(-8)\/(-5). Put o, 0.4, 5 in decreasing order.\nAnswer: 5, o, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31584\/17 - 9729759\/5236. Let h = r - 3\/44. Is h != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -13*q**3 + 2*q**2 + 5*q - 1. Let t(y) = 13*y**3 - 2*y**2 - 6*y + 1. Let f(l) = 6*b(l) + 5*t(l). Let z(j) = 5*j - 19. Let g be z(4). Give f(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - p + 8 = 0, -5*r = p - 27 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b - 7. Let w be m(-5). Suppose -w*t - 9 = -3*y - y, 5*t = -2*y + 37. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.2 - 4.19999981. Round h to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f = 7*f + 27. Suppose -f*z + 5*z = -40. Suppose 5*t - z*t = -45. Let c(d) = d**3 - 8*d**2 - 8*d - 10. Calculate c(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -2\/3, 0.1, 13, 145?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in nineteen quarters of a day?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 7:37 PM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -81917\/4089 - -954\/47. Find the common denominator of v and -35\/459.\nAnswer: 13311","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m + 5. Suppose -4*l - 72 + 1592 = 0. Suppose l*i - 3 = 383*i. Let q(h) = h + 1. What is i*s(t) + 5*q(t)?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/6? (a) -355 (b) -0.5 (c) -2\/5 (d) 2\/15 (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in five eighths of a micrometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 526808780.\nAnswer: 2, 5, 29, 439, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/15860 and -23\/80.\nAnswer: 63440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and 1.9656.\nAnswer: 1.4656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 1 - 4 - (-2 + 2 + -4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 745697.\nAnswer: 745697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 647*l + 3186 = 2240*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 27099?\nAnswer: -2709.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 6*p**2 + 3. Suppose -j + 16*o + 9 = 19*o, -1 = -4*j - 5*o. Let h(b) = -13*b**2 - 7. Calculate j*h(t) - 14*k(t).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 8) to base 15.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/((-158)\/(-100) + 6\/(-4)). Let s = -11 - d. Calculate the remainder when 40 is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x**2. Let w(b) = -3*b + 9025476. Calculate w(y(i)).\nAnswer: -9*i**2 + 9025476","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24\/(-28)*(-6)\/(-84)*7. Which is the closest to 1? (a) 9 (b) 0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49375159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*x + 12 = -19*x. Suppose 0 = -4*m - 4*c + 1212, -x*m = -0*m - 3*c - 1240. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 5*g**2 - 4*g + 4. Let z(q) = 6*q**2 - 3*q + 3. Calculate 3*k(o) - 4*z(o).\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.6 - -1.6. Let i be 3\/(-9) + 8\/18. What is the third biggest value in t, i, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -406.88127 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 4\/7, 0, 4, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 189215?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1940101 a multiple of 710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w**2 + 28*w**2 + 11*w**2 + w**2.\nAnswer: 31*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 857 or 802?\nAnswer: 802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 12:22 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/21 of a week?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/4 + 0 - 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 76*l**2 + l - 72*l**2 + l + (3*l - 2*l + l)*(-l + 1 - 1) in the form j*l**2 + i*l + z and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.18018 minutes to nanoseconds.\nAnswer: 5950810800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 1388 = -307. Round y to the nearest 100.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 39, 24, 9, -6, -21?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + 101011010?\nAnswer: 101010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(2736) + (sqrt(2736) - (sqrt(2736) - sqrt(2736)*4 - sqrt(2736))))*-4)**2.\nAnswer: -576*sqrt(19) + 1575937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/3 (b) -2\/3 (c) 16.6 (d) 16 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, d: 4, f: 1, y: 1, e: 2}. What is prob of picking 1 d and 1 f?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqm when three letters picked without replacement from {m: 1, q: 1, e: 1, j: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 144 + -159. Let a(f) = -5*f + 10. Let z be a(3). Put 1, z, g, -2 in ascending order.\nAnswer: g, z, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -316491 by -6.\nAnswer: 105497\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 100463 or 100491?\nAnswer: 100463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - b + 8. Suppose -4*h + b*h + 6 = 0. Let d = 23 + -15. What is the remainder when d is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 9*z**2 + 5*z - 18. Let b be q(-8). Let s be 26\/b + (-12)\/36. Solve 3*y + 5*m + 21 = -y, 3*y - s*m + 8 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 13994?\nAnswer: 13994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.5 - 23.5. Let c = x + 20. Let h = c - -8. What is the smallest value in h, 1\/2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 10:20 PM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9445.8 micrometers to kilometers.\nAnswer: 0.0000094458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 24 = 3*i, 6 = -r - 54*i + 53*i for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 + 3*x**2 - 4*x**2)*(-x**2 - x**2 + x**2) + 624*x**4 - 313*x**4 - 314*x**4 + 15*x.\nAnswer: -5*x**4 + 15*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 95\/(-285) + 8\/36*-3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*n**5 + 7 - 7 + (2*n**4 - n**4 + n**4)*(n - 3*n + 3*n) + 0*n**5 - 1 + 0 - 2*n**5 - n.\nAnswer: 6*n**5 - n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4186140 by -209307.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11303371\/288 - 39248. Find the common denominator of -1\/9 and u.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**7*z)\/(z*z**(-1\/3))*((z\/z**(1\/4))\/z*z)**(33\/7))**(-1\/90) assuming z is positive.\nAnswer: z**(-997\/7560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**5\/8 - 63993*j**4\/4 + 13086093*j**3\/8 + 3303519*j**2\/2 = 0. What is j?\nAnswer: -42764, -1, 0, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(-6)*p)\/p**11*p**(3\/2)*p*p**(1\/3)*p*p assuming p is positive.\nAnswer: p**(-55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**2 + v. Let d be k(1). Let l = -0.235 + 1.192. Let z = l + 4.043. What is the closest to 0.4 in 4, z, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -230610\nAnswer: -1\/230610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -149944, -149978, -150012, -150046, -150080, -150114?\n\"Answer: -34*s - 149910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwjb when four letters picked without replacement from {g: 1, w: 3, j: 1, b: 7}.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 248, 326, 404?\n\"Answer: 78*q + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -5*x + 305. Let u(s) = 2*s**3 - s**2 + s + 2. Calculate the remainder when x is divided by u(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*c = 26*c + 4. Suppose g - 2*o = -4*o - c, g + 3*o = -6. What is the second derivative of -g*u**3 - 4*u - 12*u + 17*u**3 + 5*u wrt u?\nAnswer: 66*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -318 - 2247?\nAnswer: -2565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5 = r - 7, -3*r + g + 12 = 0. Put 7, -3\/10, -3\/2, r in ascending order.\nAnswer: -3\/2, -3\/10, r, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1869 divided by -131?\nAnswer: -1869\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 k when three letters picked without replacement from {k: 4, l: 6, y: 7}.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -7*b - 30 - 8 + 17. Let v be f(-3). What is the nearest to 0 in v, 3, -0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - y - 4*z + 13 = -z, -36*y + 41*y = -3*z + 10 + 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -774*d + 32*d = 24651 + 68841 for d.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 139 in -5\/231, 2\/25, -5, -0.3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -89*c - 3539. Give w(-27).\nAnswer: -1136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**3 + 11943310*y**2 + 47773228*y + 47773224 = 0.\nAnswer: -11943306, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(16\/4) + 2 + 0. Let w(j) be the first derivative of -1 + 0*j**3 + 1\/2*j**2 + b*j**4 - 1\/5*j**5 + 0*j. Find the second derivative of w(f) wrt f.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 15 = 4*m, -2*c = -2*m + 14 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1898623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -0.434?\nAnswer: -1.302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73861.17 months to centuries.\nAnswer: 61.550975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 21*v**2 + v - 1. Let c be n(1). Let p be c + (-6)\/(-3)*-1. Find the second derivative of -22*t**3 + p*t**3 + 2*t**2 - 2*t**2 - t wrt t.\nAnswer: -18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33091736.\nAnswer: 2, 4136467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 51859\/(-20) - 5\/20. Let f = x + 2584. Find the common denominator of 73\/2 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of -r**8\/288 - 7*r**5\/10 + 10*r**2. Let l(q) be the third derivative of p(q). Let d(t) = -t**2. Calculate l(d(c)).\nAnswer: -70*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 7*t**2 - 252*t + 10. What is w(37)?\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**3 + 6042*w**2 + 6040*w = 0.\nAnswer: -3020, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.387978ug to grams.\nAnswer: 0.000001387978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 0*c = 3. Let r = c + 4. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*n + 107, -3*q + 320 = -34*n + 39*n. Calculate the least common multiple of q and 30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1891599 is divided by 200.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4)*m\/(m\/(m\/m**(-6))*m))**(8\/9) assuming m is positive.\nAnswer: m**(16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 7:06 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**3 - 7*b**2 + 4*b - 2. Let n be c(-4). What is the units digit of (-6)\/n + (11 - 5)*12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - 7*k - 4. Let f be g(-6). Suppose 0 = f*u + u - 33. Solve -j = -l + 1, 0*l + 3*j + u = l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232875929 a multiple of 435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 17 - -12) + 17\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 3*l - 0*l + 5*j, 2*j = -3*l + 38. Solve v = 3*v + l for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2.07, -0.0741, -108?\nAnswer: 2.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 170*q**2 - 5*q. Let b(w) = -133*w. Give v(b(x)).\nAnswer: 3007130*x**2 + 665*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oojj when four letters picked without replacement from jojjjoojjjjj.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -1436?\nAnswer: -1438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kl when two letters picked without replacement from {q: 1, l: 1, g: 1, o: 1, i: 1, k: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 149329067, 149329070, 149329075, 149329082, 149329091?\nAnswer: 149329102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 410021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r**2 + 2*r - 8. Let l be t(-6). Suppose -4*f = 5*z - l, 3*f + 0*f + z - 66 = 0. What is the greatest common divisor of f and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -3*d + 6, -3*b = d - 14 + 6. Let h(o) = -23*o + 1. Calculate the remainder when h(-1) is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/10 and 36\/199.\nAnswer: 1990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, n: 1, t: 2, i: 1}. What is prob of picking 2 k?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 85377 and 75543.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(1\/4)*m))**(-3)*(m**(1\/3))**(3\/4) assuming m is positive.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/329 and 9\/1652.\nAnswer: 77644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + (10\/35 - (-16)\/(-7)). Suppose -65 - 43 = -v*h. Suppose -c + h = -20. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-12)\/3 - (-40 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 276 divided by 12?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32840455?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 233*p**2*s + 4015518*p**2 - 947*s wrt s?\nAnswer: 233*p**2 - 947","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 5*y - 3. Suppose -4*g = -m + 23, -13 = 4*m + 2*g + 3*g. Let c = 3 + 1. Suppose 4*v = m*k + 17, c*v = -5*k + 1 + 24. Calculate l(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.156 + -13.644. Let i = 17 + z. Let k = -3.5 + i. What is the second biggest value in -4, k, -0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -1, -2\/7, 15, 111, 3, -97, 3\/26?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -7*s + 7. Suppose 4*h - 4*k - k - 28478 = 0, -s*h + 35591 = -3*k. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 46 = 2*h, 5*h + 0*n - 5*n - 55 = 0. Let w = 17 - h. Suppose 0 = w*u + 26 - 98. Calculate the least common multiple of u and 10.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2052 divided by 6.\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -5*u - u + 8*u - 4 + 33. Let i be d(-14). Let q(r) = r**2 + 6*r + 5. Let t be q(-6). Solve -v - i = -t for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12251678?\nAnswer: 2, 47, 130337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 2 (c) 0.4 (d) 1 (e) 0.153\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*a*l**2 - 72*a + 1747*l**2 with respect to a.\nAnswer: -6*l**2 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 4\/(8\/(-18)). Let p = y + 27. Is p a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 25 = 5*z, -8*z = 5*q - 3*z + 5. Let f(y) = y**3 - 2*y**2 + 2*y + 4. Let l(i) = -i - 1. Give q*l(x) + f(x).\nAnswer: x**3 - 2*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrur when four letters picked without replacement from rrrurr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Is 2647108769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 13, 4, 5, -5, 0, -4, 17.4?\nAnswer: 17.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 18*h - 3 = -15*h, 4*d - 2*h - 10 = 0. Suppose 3*j - 33 = -0*v + 5*v, -3*v - 33 = -d*j. Solve 12 + 3 = 5*t - 5*c, -c + j = 2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 80672 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 - 5 - (1 + -18 - -14) and 847.\nAnswer: 1694","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.2 (b) -426232 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1118815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*4*4 - -4*sqrt(1331))**2.\nAnswer: 39600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-580)\/464*10\/(-75)*-4*-27\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08765 - -47461.24.\nAnswer: 47461.32765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 149 - 39 = 0. Is g a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 98*v - 301. What is l(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -93 by 31.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/7, 5, 49, 1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (-19 - (40 + -21 + -70)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 3:35 AM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*t - 12*t**2 + 7*t + 42*t**2 + 11*t**2 + 18*t.\nAnswer: 41*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.33, -3, 174, 2\/3, -8, -0.4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 79822, 79833, 79866, 79927, 80022, 80157?\n\"Answer: q**3 + 5*q**2 - 11*q + 79827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 65*b**2 + 311360*b + 47900.\nAnswer: 5*(b + 4790)*(13*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -58867, -58844, -58823, -58804?\n\"Answer: -f**2 + 26*f - 58892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, 17\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6107, 24580, 55383, 98528, 154027, 221892, 302135?\n\"Answer: 2*x**3 + 6153*x**2 - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 48803 to the power of 1\/2, to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -297378 divided by -2?\nAnswer: 148689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10 + -8 + 5 + 1. Let h(r) = 0 + r + r**2 + b*r - 5*r + 3. Let a(f) = -f**2 - 3*f - 2. Suppose -20 = 5*y - 9*y. Give y*h(u) + 7*a(u).\nAnswer: -2*u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1526 - -1527. What is the nearest to 15\/11 in 0.5, k, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 3, -z - 39 = 3*w - 5*w. Let q be (-3 + 4)\/3*w. Let o(c) = 3*c + 10. Let b(r) = 2*r + 5. Calculate q*b(a) - 4*o(a).\nAnswer: 2*a - 5","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 3*b + 0*b - 14 = 0, 5*a + 5*b + 20 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 472950 and 12030?\nAnswer: 189652950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -35*o**3 + 23*o**2 + 17*o + 22. Let g(w) = -41*w**3 + 23*w**2 + 16*w + 23. Let f(n) = 6*g(n) - 7*u(n). Give f(-22).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 644618107?\nAnswer: 7, 37, 1277, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25 or -57?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 157.1 - 292. Let o = 135 + g. Which is the biggest value? (a) 3 (b) 0.05 (c) o (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 8, 2 in decreasing order.\nAnswer: 8, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102 + -23113320?\nAnswer: -23120022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -7.8. Let g = v + -3. What is the third biggest value in 2, -4, g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 1 = 40. Let v(z) = -114*z - 392. Let g be v(-7). Suppose 4*q - 615 = -5*j, 10*j + 5*q = t*j - g. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*x + 1 = 0, 2*g + 25 = 3*x + 9. Let k(a) = a**2 - a - 2. Let p be k(g). Let t = -16 + p. What is the highest common factor of 36 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 987184 take away 71616.17?\nAnswer: 915567.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 1476825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u**2 + 46*u - 23. Let h be i(-16). Let f = -54 - -81. Calculate the highest common divisor of f and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/(-6) - (68\/(-12) + 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95252 rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 10:53 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2707*g**3 - 2966 with respect to g.\nAnswer: -8121*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3163 - -2564?\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16272672 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -23*n**2 - 16*n - 31. Let g(l) = 19*l**2 + 12*l + 31. Determine -3*f(y) - 4*g(y).\nAnswer: -7*y**2 - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41723 is divided by 1386?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f. Let a(m) = 621*m - 4017. Give k(a(c)).\nAnswer: 1242*c - 8034","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 460 a factor of 115516656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 1. Let n(d) = -3*d**2 - d + 4. Let p(x) = 4*k(x) - n(x). Let a be (-1)\/(2 + 1 + -2). Calculate p(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -209 - -218. What is the least common multiple of 96 and r?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 3 - 6 - 4*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -111 + 60. Let y = 51.04 + t. Let m = -0.0401 + y. Round m to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -33, -10, -3, -2, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/4 - (-30)\/(-60). Let d(b) = 3*b**3 - b**2. Let m(z) = z**2 + 4*z - 6. Let i be m(-5). Let p be d(i). Put p, 0, t in increasing order.\nAnswer: p, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*p + 165*p = -3*q + 15, 3*p - 3*q + 21 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16 + 18*m**5 - 29*m - 16 + 2*m wrt m.\nAnswer: 360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 42 - 22 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.8 (b) -12\/3851 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 0*j. Let c = j + 3. Suppose -5*s - 1 = -26, -1 = -3*o + s. Put c, 5, o in descending order.\nAnswer: 5, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*g = 96 + 87 - 75. Solve 4*v - 24 = -0*x - 4*x, g*x - 2*v - 3 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g + 3. Let x be z(3). Suppose x = 5*s - 5*d + 8390, -4*d - 2833 = 4*s + 3919. Let p = s + 2403. Round p to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10518.\nAnswer: 2, 3, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10*(-3 + 7\/2). Let g be (3\/(-6))\/(4\/(-32)). Let c(t) = -9 + y + g - 2*t. Let z(n) = n**2. Calculate z(c(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 94\/17 or 1\/51?\nAnswer: 94\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4 + (-4*(sqrt(128) + 1)*-5 - ((sqrt(128) + -1)*-6 + 3 + -2*sqrt(128))))**2.\nAnswer: 6720*sqrt(2) + 100573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert ab7b (base 16) to base 10.\nAnswer: 43899","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7806 to the power of 1\/2, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**3\/7 + 231249*d**2\/7 + 198195*d - 231231 = 0 for d.\nAnswer: -77077, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 12*d - 70. What is o(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 7:56 PM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - p. Let j(s) = -s**2 + 4*s + 3. Let z(b) = -281*b - 5063. Let r be z(-18). Give r*a(f) - j(f).\nAnswer: 6*f**2 + f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = l - 9 - 2, 4*f + l = 17. Let v(w) = -w**f + 16*w**2 - 6*w - 6*w**2 + 0*w - 12. List the prime factors of v(9).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3 + sqrt(35)\/(sqrt(7)*2 - sqrt(7)) + (-5 + sqrt(5)*-2 - sqrt(5)) + (sqrt(160)*1 + sqrt(10))\/(sqrt(8)\/(1*sqrt(4))).\nAnswer: -6 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7*(-9)\/378)\/((-14)\/(-3) - 6). Which is the biggest value? (a) -0.4 (b) 50 (c) p (d) 0.23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of m**2*p - m**2 + 800*m*p**2 + 2*p**2 + 7*p + 2251 wrt m?\nAnswer: 2*m*p - 2*m + 800*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262645 is divided by 309.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-12 - 2) - (-3 - -3)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + (-54)\/9)*2003\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00857182468 to four dps.\nAnswer: 0.0086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 102 - 512\/5. Let t be ((-6)\/(-4))\/(63\/(-12)). What is the nearest to 1\/5 in h, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a - 5. Let j = 11 + -5. Let f be b(j). Let m(i) = -22*i - i**2 + 21*i - i**2 + 4*i**2 + 439*i**3 - 440*i**3. Give m(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 10*y**2 - 12*y + 3. Suppose 0 = 4*c - 13 + 1. Suppose 2*o = 5*o - c*n + 18, -2*o = -n + 15. Does 5 divide s(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 954 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -263497497 and -35881.\nAnswer: -263533378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 87987, 87955, 87923, 87891, 87859?\nAnswer: 87827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 48536*z + 485317. Give d(-10).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 99\/(-22)*16\/(-6). List the prime factors of ((-6)\/5)\/(t\/(-30)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 29*x - 79. Determine w(-29).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2126745643.\nAnswer: 11, 43, 4496291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1332044126 - 1332044057.9999979. Let z = 88 - 156. Let u = z + f. Round u to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2*y**2\/5 + 8914*y\/5 + 12460 = 0.\nAnswer: -4450, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 16, 33, 48, 61, 72?\n\"Answer: -p**2 + 20*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 34 + 16 = 0. Let i = 14 + m. Differentiate i*z**2 + 2*z**3 - 4*z**2 + 2 + 1 wrt z.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -11*i**2\/2 - 9*i + 18. Differentiate r(v) wrt v.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30923293 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001111101100110111 (base 2) to base 5.\nAnswer: 40421310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 11:56 AM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 5*w = 41, 292*b + 61 = 290*b + 2*w + 59 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 10:50 PM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 52537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 20, 0 = -3*x + 221*y - 220*y + 8. Which is the closest to 1\/20? (a) x (b) -4 (c) -5 (d) -3\/77\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/21 and 16\/165821103?\nAnswer: 165821103","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 3292471.\nAnswer: -4\/3292471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = n - 54. Suppose 6*u - n - 114 = 0. Calculate the remainder when 88 is divided by u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -34.6956014 to two dps.\nAnswer: -34.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 divided by 52?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*m + 5*u - 8, 3*m + 4 = -4*u. Which is the third smallest value? (a) -14 (b) m (c) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32440 * -78\nAnswer: -2530320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) 3 (c) -4 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u + 270 = 8*u. Let i = u + 141. Does 4 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152120 plus 23.28345?\nAnswer: 152143.28345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -328.86 - -0.3\nAnswer: -328.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 18, 30, 56, 102, 174, 278, 420, 606?\n\"Answer: x**3 + x**2 + 2*x + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 divided by -1.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/3 or -305565?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-71 + -1)*821\/(-2463). Let m be 2 - (5 - -2)\/1. Sort -2, -4, j, m in increasing order.\nAnswer: m, -4, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 2. Let d be 7*(-3)\/(0 - -1). Let m be (4\/d)\/(2\/(-3)). Is b != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 20*r**2 - 20*r + 25. Let f(g) = -4*g**3 + 25*g**2 - 12*g + 55. Let h be f(6). What is t(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2501.906034 rounded to the nearest ten?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*b**3*c**2*w**3 + 3*b**3*c**2 - 22*b**3*w - 2*b*c*w + 27*b*w**2 - 3*c**2*w**3 - 36*w**3 wrt w.\nAnswer: -90*b**3*c**2 - 18*c**2 - 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -6*r + 35. Let w(q) = -495*q - 2. What is j(w(u))?\nAnswer: 2970*u + 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 18799.34497?\nAnswer: 18790.34497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -4. Let z be g + 0 - 1 - -7. Suppose -9*p = 5*p - 42. Solve 0 = z*v - 2*v + p for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-24)\/20)\/((-28)\/(-105)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -256257*o**2*v + o**2*z**2 - 232989*v*z**2 - v with respect to z.\nAnswer: 2*o**2*z - 465978*v*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24973\/2? (a) 0.3 (b) -4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 19 - 10 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22605 + -22530. Which is the nearest to v? (a) -3\/7 (b) -2 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and 619981747.\nAnswer: 619981746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, a: 4, z: 2, i: 5, q: 7}. What is prob of sequence zzjj?\nAnswer: 1\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {a: 7, e: 2, x: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 14354.4 centuries?\nAnswer: 1435440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**5\/4 - 879*i**4 + 231615*i**3 - 1357917*i**2\/2 - 8225097*i\/4 - 2289645\/2 = 0. What is i?\nAnswer: -1394, -1, 5, 219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -449*q - 190. Let c = 377 + -381. What are the prime factors of d(c)?\nAnswer: 2, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 32 - 35 + 7 - 15*s in the form r*s + p and give r.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(384))\/(sqrt(12)\/(sqrt(12)\/sqrt(2))) + 5 + (-4 + sqrt(48)*-2)**2.\nAnswer: 56*sqrt(3) + 213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/9)\/y)**(5\/3))**(-3\/10) assuming y is positive.\nAnswer: y**(7\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.2 (b) -166 (c) 0 (d) 43 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -i**3\/6 - i**2\/2 + 16*i. Let p(t) = -4*t - 2. Let x(k) = 2*c(k) - p(k). Let u(r) = -3*r**2. Determine u(x(w)).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (((-108)\/(-1188))\/((-16)\/88))\/(3\/1224*3)\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 5245*a + 199310. What is b(-38)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - h**2 - 7558*h + 137106. What is r(19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -72*i + 19*i - 1 - 2*i**2 - 1 + 31. Let z be d(-27). Solve 2*t + 6 = u - 0*u, z*t + 12 = 4*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06164 and -0.1.\nAnswer: 0.006164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*x**5 + 3515*x**3 + 293*x**2 + x - 2?\nAnswer: 360*x**2 + 21090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f + 8*f = -475. Is f a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110010010100001 (base 2) to base 8.\nAnswer: 62241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.02721 + -36449.97279. Let h = -36418.9864 - y. Let c = h - 31. What is c rounded to three dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**3 + 1295*y**2 + 15161*y - 3206. What is t(659)?\nAnswer: -570","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-352)\/(-64))\/((6\/(-17396))\/(-3)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 16 - -1 - ((9 - (-35 + 6)) + -118)\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1020\/620)\/51)\/1?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4*p + 29 = -p, -3*x - 5*p + 3 = 0. Let w(k) = k**2 + 3*k - 1. Let b be w(x). Let i be 11 - (10 + (-52)\/26). Solve -b*l + i = -12 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*l*p**2*x**2 + 2*l*p + 6*p**2*x**2 + 103*p**2 wrt x?\nAnswer: 6*l*p**2*x + 12*p**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 47 = -3*w + 7, -5*u + 10 = 0. Solve 5*n - 23 + 14 = 3*k, 5*k = -2*n + w for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12 + 624305?\nAnswer: 624317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uhv when three letters picked without replacement from cvuuufvuhf?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -633*s + 1009*s + 1000*s - 103200 = 0 for s.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 24850, 30375, 35890, 41389, 46866, 52315, 57730, 63105?\n\"Answer: -l**3 + l**2 + 5529*l + 19321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6729 = -35*c + 2721. Is 316492\/18 + (-6)\/c*-5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -5*q - 17. Let h(k) = -k**3 - 3*k**2 + 29*k + 4. Let z be h(-7). Calculate n(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w + 8. Let j be 2\/(-12) + 225\/54. Let o be h(j). What is v in 0*v + 2\/3*v**3 + o + 4\/3*v**2 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*n + 167*n**3 - 48*n**3 + 94*n.\nAnswer: 119*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001894544 rounded to 7 dps?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.9 - -0.67. Let s = 26 + -26.4. What is the nearest to -1 in m, 4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 2. Let w(g) = 3*g - 1 + 1 - 9*g + y. Is w(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-11)\/(11\/2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 1564\/277?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -h**8\/112 - h**7\/70 + h**6\/40 + h**5\/20 - 7*h**2 - 8*h. Let r(v) be the first derivative of f(v). What is q in r(q) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91728.947 rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -4 - 1 + 2*u - 7*u + 4*u. Let n = -24 - -19. Give a(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1492 + 1485.11. Let p = 6.81 + t. Which is the biggest value? (a) -0.1 (b) p (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -12889374*r**2 - 2*r. Let j(t) = -t. Calculate j(b(a)).\nAnswer: 12889374*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16113231*c**4 - 9631787*c**2?\nAnswer: -386717544*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -8*l**3 + 2*l**2 - 134*l + 8. Let s(m) = 3*m**3 + 43*m - 2. Give 2*k(d) + 7*s(d).\nAnswer: 5*d**3 + 4*d**2 + 33*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a minute in seconds?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/(-4)*(1 + (-146)\/(-6)). What is the units digit of i\/(-36)*-3*-34?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -4, -1, 19.7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*z + 29*z + y - 3599, 2*y = 8. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q - 4. Suppose -4*i = -7*k + 10*k - 20, 0 = -4*k + 16. Let x be a(i). Solve 4*t + 13 = -l, x*t - 3*t = 5*l + 8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 203.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8588*p**2 + 16 - 16 + 2849*p**2 + 2886*p**2 + 2839*p**2.\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 19d?\nAnswer: -19c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8032 is divided by 96?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -96*c - 85*c - 13*c + 34*c - 86*c to h*c + r and give h.\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5*z + 3 = 0, 2*o - 2*z - z = -3. Suppose 5*l - 2*d = 4 - 15, d = -o*l. Do -1 and l have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - -5) + 21\/(-3). Let c(z) = 14*z**3 + 7*z**2 + 7*z. Let x(w) = -5*w**3 - 2*w**2 - 2*w. Determine h*c(p) - 7*x(p).\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*141\/470*15\/12.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.51345532 to 2 decimal places.\nAnswer: -7.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -921*j + 31*j + 64*j to the form l*j + f and give l.\nAnswer: -826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 45*a**5 + 55*a**4 - 35*a**3 - 55*a**2 - 10*a = 0.\nAnswer: -1, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -41809.5 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*5*(2*sqrt(175) + -3 - sqrt(175)).\nAnswer: -45 + 75*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36285215, -72570449, -108855683?\nAnswer: -145140917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5901209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h + 1. Let y be o(7). Let m be y\/(-32)*(-9 + 1). Suppose -m*z + 0 = -10. Let r(l) = -2*l + 5. Give r(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-10))\/((-1694)\/(-605)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 6 = -k. Solve -4*n - 5*b + 1 = -k, -4*n - b + 9 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7\/3 + 80\/33. Let b = -30 + 30.02. Let j = -0.42 + b. What is the nearest to -1 in h, j, -1\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -169\/2999913 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 360 and 36.72105.\nAnswer: 396.72105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 97 divided by 97\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = w + 4*p, 5*w + p + 27 = 5 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -637100, -637037, -636974, -636911, -636848, -636785?\n\"Answer: 63*c - 637163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 1 + 9*k + 5 + 5*k as o*k + t and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/9)*u\/u**(6\/7)*(u**(-1))**(-11))\/((u**1)**(-2\/51))**(-21) assuming u is positive.\nAnswer: u**(10933\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y - 2*y + 5*y + (4 + 1 - 2)*(25 - 25 + 16*y) + 6*y - 1 + 5*y - 9*y to c*y + o and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -9, 0.02 in increasing order.\nAnswer: -9, 0.02, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11456181, -45824715, -103105605, -183298851?\n\"Answer: -11456178*l**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*x = -0*x - 10*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ktkttkktkktjjjkj. Give prob of picking 3 t and 1 k.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 169377 divided by 1.\nAnswer: 169377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -21. Let x be (m\/21)\/(-3 - 40\/(-12)). What is the closest to 0.1 in x, 3\/5, -2\/13?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -798 + 783.85. Let r = 0.15 + t. Put 1, r, -5 in decreasing order.\nAnswer: 1, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 9. Suppose o + 0*o - 1 = w*c, o - c - 2 = 0. Solve 0 = o*x - 0*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 u when three letters picked without replacement from cuukqcuuukurccuu?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of d**5\/4 - 35*d**4\/12 + 25*d**3\/3 + 62*d - 12. Let t(a) be the first derivative of i(a). Factor t(h).\nAnswer: 5*h*(h - 5)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, q: 3, i: 4, a: 11}. Give prob of picking 1 i, 1 e, and 1 q.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48*l**3*w**2 + 3*l**3 - l**2 - 27*l*w + 2*w**2 wrt w.\nAnswer: 96*l**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 506*z - 1982 + 122 = 486*z. What is the remainder when 549 is divided by z?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -12303003?\nAnswer: -12303002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 11*h - 20. Let v be i(8). Calculate the lowest common multiple of 10 and v\/(((-3)\/6)\/(-1)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111 + 222110?\nAnswer: 221222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 9 + -6 + -10 + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -183935000 rounded to the nearest one million?\nAnswer: -184000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nwn when three letters picked without replacement from {n: 2, t: 2, w: 7, q: 1}?\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f - 15. Let u be t(9). Let c = u - -11. Suppose -3*l = -2*r - 5*l - 2, l + 21 = -c*r. Put -4, r, -6 in increasing order.\nAnswer: -6, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 - 25. Suppose -5*z - 10 = -4*d, -g*d + 16 = -z - z. Suppose -z*x + x = -521. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1185*u**3 - 2442*u**3 + 1260*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4950\/(-77) + 2\/7. Let k = -13 + 1. Let a = k - v. Does 26 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1325, 5034, 11147, 19664, 30585?\n\"Answer: 1202*k**2 + 103*k + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 253 + -355. What is the common denominator of 4041\/c + (-2)\/(-17) and ((-9)\/15)\/(44\/130)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91243.71422 rounded to the nearest ten?\nAnswer: 91240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 0 = -2*z + 4, 3*g = -3*z + 6. Suppose -3*a + z*f = 3*f + 33, -4*f = a. Is -12 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -531*u + 536*u + 4, -2*u = 2*k - 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**5 - 9*a**5 + 3*a**5 + (2 - 2 - a)*(-a**4 + 2*a**4 - 3*a**4) + 0 + 0 + a**5 + (-13*a**3 - 64 + 64)*(-1 + 1 - 2*a**2).\nAnswer: 23*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -0.7, 3, 5\/6 in ascending order.\nAnswer: -0.7, 1\/4, 5\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1330433 (base 6) in base 8?\nAnswer: -220465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of j**3\/3 + j**2 + j + 2. Let y be g(-2). Let i = -71 + 68. Which is the nearest to 1? (a) y (b) i (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -214180.220262 + 214180. Let i = 0.560296 + l. Let z = -0.34 + i. What is z rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2231524?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 26 + 14)*(-3*d + 4*d + 0*d).\nAnswer: 31*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**5\/13 - 47714*j**4\/13 - 21921804*j**3 - 4833130544*j**2\/13 - 13063938560*j\/13 + 47741030400\/13 = 0. What is j?\nAnswer: -11920, -12, -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -22*a - 180, 2*a + 2 = -h - 13 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -o. Which is the nearest to -1\/3? (a) o (b) -2\/9 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -310a + 9947?\nAnswer: 6838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -327*d - 3301 + 1071 - 3656 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3177?\nAnswer: 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 173399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {o: 4, k: 14}?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/10 and ((-17)\/((-119)\/(-2)))\/(2\/23).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 11012?\nAnswer: -11100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 33481 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -1000?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*m**4 - 2*m**3 + 14*m**4 + 17*m**4 - 2 to the form f*m**2 + h*m + n*m**3 + s*m**4 + b and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -43, -103, -185, -295, -439, -623, -853?\nAnswer: -1135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 56960.4 rounded to the nearest one hundred?\nAnswer: 57000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 39.37941816 to 3 dps.\nAnswer: 39.379","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*h - 4*r, h + 2*h = -5*r + 52. What is the tens digit of -3*(4 - 69\/h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-6))\/((-12)\/(-18)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -15264900 to the nearest one hundred thousand.\nAnswer: -15300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, r: 5, h: 3}. What is prob of picking 1 r and 3 h?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -276*j + 63*j + 73*j + 22*j + 69*j + 46*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 10. Suppose 4*t + 76 = -4*o + 2144, -2585 = -y*t + 4*o. Is 3\/6 + t\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 67*w + 256. Let b be h(63). Solve 5*k + 20 = -y, -b*k - k - 50 = -5*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -133, -279, -425, -571?\nAnswer: -717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 193410 - -12954910\nAnswer: 13148320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -206, -415, -624, -833, -1042?\nAnswer: -1251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -4*h + 6, 0*s + 4*s + 3*h - 17 = 0. Suppose -10 + 25*w + 14*w**3 - 7*w**3 - 2*w**3 - 20*w**s = 0. Calculate w.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14119 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21301140 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 12:04 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -1169*c. Let x(y) = 302*y**2 + 5. Determine p(x(n)).\nAnswer: -353038*n**2 - 5845","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = g + 2*g + 2*s, 3*g = 5*s + 73. What is the lowest common multiple of g and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -7*w - 17. Let p be a(-3). Solve -p*x - 25 = x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3902?\nAnswer: 2, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7517959 weeks to hours.\nAnswer: 126.3017112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -12. Suppose t*u - 3 = 2*u. Let c(h) = 13*h**2 - h. List the prime factors of c(u).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 180 and 230?\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2433627 (base 10) to base 3\nAnswer: -11120122022100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 63 = 81. Let x be (236\/q - 5) + (-2)\/(-8). What is the third smallest value in 1\/5, x, -2\/7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 13*o**2 - 24*o + 17. Let g be w(-11). What is the highest common factor of 52 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147626 smaller than 147645?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -11, 3 in increasing order.\nAnswer: -11, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1180386 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1182 + -1169. Solve 0 = 5*g + 3*o - 27, -3*o - o = -g - q for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4158 divided by 378?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 - 34 - n)*(-64*n**3 + 88*n**2 - 88*n**2).\nAnswer: 64*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.191 - -0.491. Let m = -9.07 + 3.07. Which is the third biggest value? (a) 1 (b) -2 (c) m (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.043 - 6.443. Let n = z - -6.7. Which is the nearest to -1? (a) 2 (b) -2\/3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0016548 to 5 decimal places.\nAnswer: -0.00165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1917, -1174, -431, 312, 1055?\nAnswer: 1798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -49.835 (b) -0.00005 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1376714.07 milliseconds in days?\nAnswer: 0.015934190625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 69794549 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p - q - 12, 5*p + q - 88 + 86 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5556467030\/613353 - 15\/408902. Let q = -9039 - a. Find the common denominator of 143\/30 and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 50 + 46 = -4*j, 0 = 3*o + 5*j - 65. What is the units digit of o\/9 - (-7 - (-455)\/63)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 10*l**2 - 43*l + 47. Let o(k) = -7*k**2 + 29*k - 32. Let t(g) = -5*m(g) - 7*o(g). Let i = -766 + 776. Determine t(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*s - 5 = 32*s, x + 2*s + 2 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 29150695 divided by -155\nAnswer: -188069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-1 - 5) + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15\/((-4125)\/(-190))*(-10)\/(-12). Let o = d + 956\/231. Find the common denominator of 2\/35 and o.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 304074, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 32, 5*q + 3*k = 6305 - 464. What is the highest common factor of 299 and q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4 - 4*c**3 + 5*c**2 - 2*c.\nAnswer: c*(c - 2)*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 + 208\/5. Let q = -83.7 + 84. What is the closest to s in -1\/6, q, 4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 36*o**2 - 37 + 2\/3*o**3 - 74*o. Factor z(d).\nAnswer: 2*(d - 1)*(d + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 17*j + 28. Let r be d(16). Suppose -r*y + 4*y + 816 = 0. What are the prime factors of y?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/o**(5\/2))*o\/(o*o**(-5)*o*o*o))\/(o**(-2))**(2\/81) assuming o is positive.\nAnswer: o**(737\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(864)\/sqrt(12) + 0 + sqrt(2) + sqrt(2) + 3 - (sqrt(14)\/(sqrt(14)\/sqrt(2) + sqrt(7)) + 2)*-5)*5)**2.\nAnswer: 6825*sqrt(2) + 19475\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 354337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3840) - 3*sqrt(3840))\/(sqrt(768)\/sqrt(4)) + -4.\nAnswer: -4*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -8 + 7 - -2) + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -85*t + 322*t + 24*t**2 - 16*t**2 + 321*t - 2 - 10*t**2 to the form i + f*t + a*t**2 and give f.\nAnswer: 558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 793341 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z**2 + 4 - 4 + (-2*z**2 - 2 + 2)*(-3 + 5 - 4) + 5*z**2 - 4*z**2 + 2*z**2.\nAnswer: 11*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -250, -609, -1192, -1993, -3006, -4225?\n\"Answer: b**3 - 118*b**2 - 12*b - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(140) - sqrt(35)) + sqrt(35))\/sqrt(5) - sqrt(7) - -2*sqrt(175))*4)**2.\nAnswer: 13552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 567740 or 567716?\nAnswer: 567740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + h**2 + 2*h)*(17185*h**2 - 14*h + 192*h + 2504*h**2 - 178*h).\nAnswer: 19689*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n - 26. Let b be i(19). Let f be (1 + b\/(-3))\/(2\/3). Suppose -f*t = -5*g - 5, -3*g = -2*t + 7*t - 45. Solve t*j = 4*j - 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 1) + (-1 - -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1110310113210 + 10?\nAnswer: 1110310113220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, x: 2, y: 2, g: 1}. What is prob of sequence gy?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24746 is divided by 129.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5998?\nAnswer: 2, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and -6616.\nAnswer: -6616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 10 = 2*o - 46, o + 5*r - 19 = 0. Calculate the greatest common divisor of 1247 and o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23.725 + 0.125. What is u rounded to the nearest integer?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 4*l. Put -4, -30, l in ascending order.\nAnswer: -30, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17761?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b**3 + 6*b**2 + 4*b + 5. Let w(x) = 11*x**3 - 17*x**2 - 11*x - 14. Let s(l) = -8*n(l) - 3*w(l). Let t be s(4). Let h = -7 - t. Sort h, -2, -1.\nAnswer: -2, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10317 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: Add -5170138 and -168.5.\nAnswer: -5170306.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 158 and -9245.\nAnswer: -1460710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 83624 + -47346. What is the thousands digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/3 - 110\/(-10))\/((-10)\/(-4))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 5. Suppose -4*f + 11 - 3 = 0. Let q = f - k. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 86 - 15093987.0296.\nAnswer: -15093901.0296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1884\/3197?\nAnswer: 1884\/3197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -43686.5 rounded to the nearest 100?\nAnswer: -43700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (60\/24)\/((-2)\/4). Let z = 0 + 1\/2. Put 0.3, z, s in decreasing order.\nAnswer: z, 0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 10:20 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -194 - -197. Suppose 5*i + a = 25, 5*i + 2*a = 2*i + 15. Suppose 330 = 5*t - i*v, 2*t + 5*v = -f*t + 360. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6\/11, 2.2, -5.1, -0.3.\nAnswer: -5.1, -3, -6\/11, -0.3, 2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -0.05 (c) -3 (d) -0.3 (e) -77\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - -13 - 28 - -21.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -10, 8, 54, 140, 278, 480, 758?\nAnswer: 1124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -766 - -858.3. Let t = 99 - l. Let x = 42.7 - t. Which is the nearest to x? (a) 2\/3 (b) -0.2 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/18 - (-1113)\/(-216). Let i = -2049\/4 - -518. Let w = q + i. Which is the nearest to -1? (a) -0.2 (b) w (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 342759767437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 4*r**2 + 4. Let n be o(3). Let g = n - 10. Suppose -5*u = -4*u - 4*i + 15, 0 = u + g*i - 20. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of -d**5\/60 + d**4\/2 - 5*d**3\/3 + 3*d**2. What is the lowest common multiple of 22 and z(8)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1839216 and 88?\nAnswer: 20231376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -5*n + 6. Let j be (-1 + 0)*20\/(-4). Suppose -8 = -4*i - n*y + 38, -j*y = -3*i + 15. Does 6 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3334335.\nAnswer: 3, 5, 222289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d + 1. Let q be j(-3). Suppose 2 = u + f - q, -3*f = -12. Find the first derivative of 4 - 2 - y**4 + y**u - y**2 wrt y.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 130\/35 + 0 + (-6)\/(-21). Suppose 169 = -3*w - 3*d + 565, -w - j*d + 126 = 0. Is w a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -273 (base 9) to base 6.\nAnswer: -1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -551, -0.2, -6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*h**3 - 18*h**3 - 19*h**3 + 81*h**3.\nAnswer: 21*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1134.427915 to the nearest integer.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/7668 and -1\/5964.\nAnswer: 53676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*h)*(-5 + 1 + 5)*(-5 - 3 + 6)*(-2*h**2 + 7*h**2 - h**2).\nAnswer: -16*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-102)\/(-204))\/((-3)\/54). Let x(k) be the first derivative of -7*k**2\/2 + k - 6. Let p be x(1). Which is bigger: a or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23935 is divided by 7957?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 b, and 2 g when four letters picked without replacement from {g: 2, r: 2, b: 9}?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/8 of a centimeter?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 - 5\/((-10)\/(-4)). Suppose 3*i = i - 3*a + 29, n*a - 22 = -i. Is i even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202280 is divided by 50569?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1875 + -1873. Which is bigger: -20.2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274974705 to the power of 1\/3, to the nearest integer?\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 12, u: 6}. Give prob of sequence uxux.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 + -33. Let p = a - 18. Put p, -3, 6 in increasing order.\nAnswer: -3, p, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*x - 21*x = -6. Let n(s) = -2 - 4 - x + 3*s + s**3 - 6*s**2. Calculate the lowest common multiple of 8 and n(6).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -17*o**2 + 30*o**2 + 128*o**2 + 38*o**2. Let l(z) = 0*z - z + 3*z + 2*z - z. What is l(t(v))?\nAnswer: 537*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3.35 - 1985005\nAnswer: -1985008.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 y when two letters picked without replacement from {u: 1, v: 5, y: 2, i: 1, g: 3}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 >= -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1207 smaller than -1103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 26, 5, 17, 10 in descending order.\nAnswer: 26, 17, 10, 5, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150545 is divided by 299.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/304 and -19\/4.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19060 is divided by 93.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(sqrt(567) - 2*sqrt(567))*-1)**2.\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 78 divided by -39\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -2223111222?\nAnswer: 2223111233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -4*w**2 + 21*w + 27. Let o(m) = -4*m**2 + 20*m + 27. Let k(z) = 6*o(z) - 7*x(z). What is the tens digit of k(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 10, 11\/9, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -46, -191, -424, -739, -1130?\n\"Answer: a**3 - 50*a**2 - 2*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -4*s**3 + 21*s**2 - 16. Let n(z) = -z**3 + 5*z**2 - 4. Let k(p) = -4*j(p) + 18*n(p). Let k(y) = 0. What is y?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1860 divided by 5?\nAnswer: -372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23214 and 708?\nAnswer: 2739252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - d**2 + d + 1. Let y(u) = -4*u**3 + 2*u + 3. Determine 2*o(h) - y(h).\nAnswer: 2*h**3 - 2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 2*v = 32. Put -3, -2, v in decreasing order.\nAnswer: v, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -403988, -1615998, -3636016, -6464042, -10100076?\n\"Answer: -404004*c**2 + 2*c + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/2 (b) 1\/4 (c) -0.37 (d) -4 (e) 0.08\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 10981694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0261872 to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1736 is divided by 103.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 4 + sqrt(13) + 0.\nAnswer: sqrt(13) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -1, 0.4, 5, 25, -0.1.\nAnswer: -1, -0.1, 2\/11, 0.4, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 10*j**2 - 128*j - 84. Give l(14).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -11\/9 (b) -1\/2 (c) 1\/4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*o + 242*o - 1345 = -2*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/(-3) - 6\/12 and -2\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 18*u**2 - u + 21. Let f be l(18). Let h(x) = 19*x - 9. What is the tens digit of h(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-7))\/((-33)\/(-99)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s + 5. Let x be y(-5). Let q = x + 27. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*k + t - 84 = 0, 25670 - 25666 = -4*t for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence htt when three letters picked without replacement from {t: 7, h: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of 0*n**2 + 21\/20*n**5 + 0 + 0*n**3 - 21*n - 5\/12*n**4. What is the third derivative of k(u) wrt u?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -81*f + 84*f - 5*q - 19, -4*q = 20 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8208*f + 1390*f - 5109*f - 27554*f.\nAnswer: -39481*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5564406613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 7*u + 2820. Let v = u - -554. List the prime factors of v.\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1235904.4903 rounded to the nearest ten?\nAnswer: 1235900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/366435 and 14\/13215?\nAnswer: 322829235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 1 + 438 + -461.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + 12. Find the second derivative of -25*p - 13*p + 29*p - w*p**5 wrt p.\nAnswer: -520*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8 + 3 - 189\/(-39). Which is bigger: 4\/5 or d?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/35616 and 39\/32?\nAnswer: 35616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(153) + 1 + sqrt(153) + (sqrt(153) + 1)*4 + sqrt(153))*-6 - (-6*(sqrt(153)*-2 - sqrt(153))*-5 + 3))**2.\nAnswer: -12960*sqrt(17) + 354537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 505 - 502. Solve -w = d + 2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 2*l**2 + 1. Let q be t(-3). Is (44\/10)\/(2\/q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 210?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 3. Let l = -542 - -547. Calculate the remainder when l is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by -1611444.\nAnswer: -7\/805722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3566808 divided by -7?\nAnswer: -509544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, a: 10, d: 2}. What is prob of picking 1 j and 2 a?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -57028 - -456229\/8. Let o = -3 + 3.1. Which is the smallest value? (a) 3\/5 (b) o (c) p (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 7*t**3 + 14*t**2 - 608. Let m(w) = w**3 + 2*w**2. Determine 6*m(f) - y(f).\nAnswer: -f**3 - 2*f**2 + 608","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0014301776 to 4 dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 4206*f**3 + 20*f**2 + 18*f - 20. Let g be z(15). Round g to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-1) + 1 + 2\/(-2). Let t(h) = -7*h + 17. Let f be t(q). What is the units digit of f\/(-22) - ((-8199)\/33)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1716*x + 566*x + 590*x + 561*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 235, 2, 3 in descending order.\nAnswer: 235, 3, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1011*v**2 + 4070*v**2 - 1007*v**2 - 1027*v**2 - 1004*v**2.\nAnswer: 21*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7269*u**2 - 10814*u**2 - 3240*u**2 - 6820*u**2 - 9622*u**2.\nAnswer: -23227*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - d - 1 - 5*d + 5*d + 2*d + (-4 + 1 + 2)*(0*d - d + 0*d) + d + 3*d - 3*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26627.334 months to decades.\nAnswer: 221.89445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3)\/((y\/(y*y*y**(-7)))\/y))**(-36) assuming y is positive.\nAnswer: y**288","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*8\/(-84)*(-28)\/(-12)*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -13*q**2\/2 - 51*q + 5. What is the smallest common multiple of p(-7) and 12?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -32\/23 (b) 20 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 53, 48, 43, 38, 33?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-4\/5))**(40\/7)*g\/(g**(-7\/6)\/g)*g**(-1\/9))**15 assuming g is positive.\nAnswer: g**(-955\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 694 + 13*j**2 - 12*j**2 + 87 in the form x*j + s*j**2 + g and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(51\/(-5))\/((-20)\/100). Suppose 27*n + 57 = -j. Sort -8\/5, 0.2, -2\/3, n.\nAnswer: n, -8\/5, -2\/3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-23)\/(-15))\/(((-27)\/(-6237)*22)\/((-54)\/63)).\nAnswer: -69\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.07 * -1972066\nAnswer: -2110110.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1.890202um?\nAnswer: 0.001890202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -19 + 12 + (2 - 10) - -9. Let r(a) = 1. Let w(p) = -p - 20. What is m*r(z) - w(z)?\nAnswer: z + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(329805\/3600 + -91)?\nAnswer: -80\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 187 = -72. What are the prime factors of m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 - 4*k + 4*k)*(-2*k + 4*k - 6*k + (1 + 0 - 2)*(k + 5 - 5) - k + 3*k - 4*k).\nAnswer: 14*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38940?\nAnswer: 2, 3, 5, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 14 - 5 = 0 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10330030 (base 4) to base 11\nAnswer: 14227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3423044 (base 5) to base 7.\nAnswer: 342625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -13*y + 405. Let s be b(31). Solve -s*j + 3*j + 12*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1)\/1260)\/(11 - 2 - (-15702)\/(-1746)) and -85\/84?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 1476 = -6*p. Let v = -501 + p. Suppose -3*u + 4*t = t - v, 4*u = 3*t + 319. List the prime factors of u.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (362 - 132 - 519 - 1104)*(0*t**2 - 2*t**2 + 4*t**2) to the form l*t**2 + q*t + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 246.7433251973 less than 5?\nAnswer: -241.7433251973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6833424 divided by -104?\nAnswer: 65706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1340179393?\nAnswer: 7, 191454199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 5*u**2 + 4*u. Let w be b(5). Solve 5*t - t = -w for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -5)\/(-8 + 1). Let t be (-7)\/(294\/(-16))*(-18)\/24. Which is bigger: t or p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 + -22. Suppose c = -6*n + 2*n + 32. Calculate the remainder when n is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -7 + 14*q - 8 + 5*q - 3. Calculate the remainder when 56 is divided by s(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64 by 2.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 454 - 411. Let a = 6 - 2. Calculate the remainder when u is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1499 = 5*k - 3*q, 0 = -4*k + 3*q + 683 + 518. Suppose 4*a - 14 = k. Calculate the remainder when a is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - (-3 - -7) - (7 + 89). Which is bigger: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10820101*g**2 + 5493141 with respect to g.\nAnswer: 21640202*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(200) + 5 - (-1 + (sqrt(200) - (sqrt(200) - 3*sqrt(200)) - sqrt(200)))) + -4*-1*(sqrt(200) + -1 + 3))*-6)**2.\nAnswer: 32400*sqrt(2) + 72900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**2 - 17*n + 11. Suppose -2*i + 10 = -4*h, -17*i + 14*i + 5*h = -16. Give m(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 31680 to the nearest one thousand.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 237, 501, 765, 1029, 1293?\n\"Answer: 264*a - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**2\/4 - 8035*m\/2 - 48201\/4 = 0.\nAnswer: -16067, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) 1 (c) -3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -1. Let w(u) = -4*u - 13. Let d be w(-2). Let r = n + d. Is r at most -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -56*b - 511. Determine h(-5).\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h. Let s(c) = 24*c - 2. Let p(d) = -6*k(d) - s(d). Let t be p(-3). Suppose -b + x = 4*x - 32, -x = -3*b + t. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 834?\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5025 - -5025.002237. What is n rounded to four dps?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 3*w + 2*w)*(w + 2*w - w)*(-7795 - 9666 - 33000 - 13688 - 51076).\nAnswer: -460900*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6)*r\/(r*r\/(r*r\/(r\/(r\/(r\/r**(-2)))*r)*r*r)))**(1\/26)*(r**(-4)*r*r)\/r*r\/((r**1\/r)\/r*r)*r*r*(r**1*r)**(-1\/30) assuming r is positive.\nAnswer: r**(-131\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (124\/9)\/(8\/40*(-100)\/90).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (6\/3)\/((-369)\/(-363) + -1) and 319?\nAnswer: 3509","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-28)\/168 + (-2)\/60. Which is smaller: r or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 812 and 364?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -2*v + 1\/6*v**4 - 9\/20*v**5 + 0 - 11\/2*v**2 + 5\/3*v**3. Let r be t(-11). What is r rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 835 + -691. Find the third derivative of 36*p**4 - 60*p**6 + 35*p**4 + l*p**2 + 39*p**4 - 140*p**4 + 32*p**4 wrt p.\nAnswer: -7200*p**3 + 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s + 8. Let p(d) = -11*d**3 - d + 2. Let k be p(1). Let h be f(k). Let w(n) = -17*n + 2. What are the prime factors of w(h)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*u + 14. Let b = -2 - -4. Suppose -42 = -b*a + u. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-100)\/5)\/4*(-3)\/(-18)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112000210210 - 212?\nAnswer: 112000202221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - b768?\nAnswer: -b763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a day in minutes?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14085 divided by -2817?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9992.\nAnswer: 2, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 858, 3726, 8500, 15174, 23742, 34198, 46536, 60750?\nAnswer: 76834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6311801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 933795\/(-15)*(-2)\/(-6)*-3?\nAnswer: 3, 6917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -3*z - 51, -18*k = -35*k + 16*k + 19 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2211211021221 (base 3) to base 14\nAnswer: -2b5116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -178*s + 32. Let c(d) = -162*d + 26. Let a(v) = -5*c(v) + 4*g(v). Let w(j) = -3*j**2. What is a(w(t))?\nAnswer: -294*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - 2*a + 2*a)*(-1 - 2*a + 1) + (4*a**2 - 2*a**2 + 0*a**2)*(-2 + 3 - 3) - 12*a**2 - a**2 - 7*a**2.\nAnswer: -32*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 13 = -4*d. Suppose -3*y = -b - 9, -5*y + 15 = -d*b - 4. Let i be ((-7)\/42)\/(y\/(-3)). Does i = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*w - 1665 = 260*w for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 47 = 5*u - 10, -4*u - 2*w + 46 = 0. Which is the nearest to -2\/5? (a) -2\/3 (b) u (c) -2\/9 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5*y = -1200, -5*y - 115 + 2075 = 5*c. What are the prime factors of c?\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131111323 (base 4) to base 10.\nAnswer: 120187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h**3 + 23*h**2 - 12*h + 14. Let i be u(-8). Suppose -38*c - i + 8 = 0. Let p(l) = 8*l**2 + l. What is p(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q - 2. Let w be a(-7). Suppose w*s - 79 = 196. List the prime factors of (52\/5)\/(22\/s).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.13 - 11.87. Let d = -8 - j. What is the nearest to 3\/2 in 2\/3, 0.1, d?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 45648 or -176?\nAnswer: 45648","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1590 and 395.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 11303*b + 45305. Calculate t(-4).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 170 - 490. Let a = u + -62. Suppose a + 121 = -4*g. What is g rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 538541?\nAnswer: 131, 4111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k + 2. Let j be (-3)\/(-5) + 26\/(-10). Let h be (-72)\/(-30) - j\/(-5). Suppose -2*q + h = -q. Give m(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110684879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235774.\nAnswer: 2, 7, 11, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3855*z**3 + 4*z - z - z + z**2.\nAnswer: 3855*z**3 + z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 6:09 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51529 by 227.\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -62 + 61. Let w be (-30)\/4*2\/(-3). Which is the nearest to x? (a) 0.2 (b) 1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 12) to base 8.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -345573*a**4*g - 13*a**3 - 491977*a**2*g + 4*a*g wrt a?\nAnswer: -8293752*a*g - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5646?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (3 - 9) - (18 + -9)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-780)*13*-5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - i + 30. Suppose -8*t + 98 = -i. Solve -2*h = 4*v + 28, 8 = -v - 4*h - t for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -63*f - 35. List the prime factors of y(-22).\nAnswer: 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.19*9.\nAnswer: -1.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1ea - ec0?\nAnswer: -cd6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 1\/8, -2\/3, 31, -0.5 in increasing order.\nAnswer: -2\/3, -0.5, 1\/8, 12, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 6*c**3 - 5*c**2 + c + 5. Let s(j) = -2*j**2 + 1 - j**2 + 2*j**2 + j**3. Let m(b) = -f(b) + 5*s(b). What is the second derivative of m(v) wrt v?\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 8*y - 55. Let u(l) = -l**3 - 8*l**2 - l + 6. Let h be u(-8). Solve -h = y*w - 39 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 25051429, 25051431, 25051433?\n\"Answer: 2*y + 25051427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1603 is divided by 96.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(5*(0 + sqrt(300)) + sqrt(300)) - (1 + 2 + sqrt(300)*1))**2.\nAnswer: 1860*sqrt(3) + 288309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 220\/(-5)*(-2)\/8.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-55)\/22*(48\/(-10))\/2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3520389?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3388 + 7203 - 475 = -843*s for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18\/565 and 7\/9.\nAnswer: 5085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/10 and -163\/4679220?\nAnswer: 4679220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6 - 2*x**2 + 3 + 3 + 5*x**6 wrt x?\nAnswer: 600*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/5, -2\/9, 69, -5\/3, 0.3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.791352 litres in millilitres?\nAnswer: 791.352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*h = -22, -f - 3*h - 2 = -h. Let c = -3 - -7. Let y be (c + 2)*1\/2. Solve -y = -f*b + 3*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*o - 18*o + 40 = 0. Let h be 6\/o - 15720\/(-200). What is the highest common factor of h and 234?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 7*q**4\/30 - 118*q**3\/45 - 13*q**2\/5 + 18*q\/5 - 1940. Factor i(u).\nAnswer: 2*(u - 9)*(u + 1)*(7*u - 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 92*d - 4. Let y(w) = -w**2 - 37443. Determine j(y(g)).\nAnswer: -92*g**2 - 3444760","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -99924?\nAnswer: 9992.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 588, 132, -324, -780, -1236, -1692?\n\"Answer: -456*f + 1044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d + 1. Let w(x) = 3206*x + 6*x**2 - 3206*x. Give q(w(j)).\nAnswer: 18*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -1325.\nAnswer: 6625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/20*(-47)\/(-141)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -4. Let f = 177.8 + -178. Which is the nearest to 0.1? (a) 1 (b) r (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3562334719?\nAnswer: 19, 2797, 67033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -9. Let t(x) = 4*x + 2. Let r(j) = j. Let q(k) = z*r(k) + t(k). What is the derivative of q(y) wrt y?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 d when three letters picked without replacement from {z: 13, c: 2, d: 3, s: 2}.\nAnswer: 39\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40993?\nAnswer: 40993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*14 + 2 + (-16)\/4. Suppose x + 9*x - n = 0. Calculate the greatest common factor of x and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 24. Let w = -10.7 + f. Let i = 2.7 + w. What is the smallest value in -5, i, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 + 108 + 163)*(-1 + 1 + d**2) + (-d + d - d)*(-2*d + d + 0*d)*(-3 + 1 - 3).\nAnswer: 292*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 631*i + 458*i + 322*i + 25.\nAnswer: 149*i + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 0*u + 2*u)*(0*u**2 + 2*u**2 + 0*u**2 + (-2*u + 4*u + 0*u)*(169 - 18*u - 169)).\nAnswer: -68*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4 is divided by (3\/2)\/(14\/28).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 + -13. Suppose 6*z - 540 = 780. What is the remainder when z is divided by p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 891?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-5\/8)*b)\/b**(-13))\/(b**(-3\/32)\/b*b**(1\/20)) assuming b is positive.\nAnswer: b**(2667\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(832) - (sqrt(832) - 1*sqrt(832)))*-4)**2 + -5 + 3)*-1.\nAnswer: -13310","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i + 5. Let y be a(8). Let p = y - -20. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -21*h + 23*h - 10, 0 = -h + 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 17*l. Let j(x) = -2*x**2 + 5823. What is j(i(y))?\nAnswer: -578*y**2 + 5823","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 963939056 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10.2? (a) 4 (b) -3\/17 (c) 3\/2 (d) -4 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223105 (base 10) to base 16.\nAnswer: 36781","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 14*m**2 + 14*m + 16. Let p be k(-13). Suppose 3*f + 97 = 4*n, -94 = -p*n - n + 2*f. What is the highest common factor of 11 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((816\/(-1156))\/6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1943?\nAnswer: 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*b**4 - 644*b**3 - 1402*b**2 - 720*b = 0.\nAnswer: -1, 0, 360\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o + 3*o + o)*(-17 - 6 - 7)*((0 + 2 - 1)*(3*o + 0*o - o) + 5*o - 5*o + 2*o + 8 + 3*o - 8)*(0 - 4 + 2) in the form v + w*o**2 + g*o and give w.\nAnswer: 840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2 + (sqrt(200) - (sqrt(200) + -3)) + sqrt(200)*2*2))**2.\nAnswer: 10000*sqrt(2) + 80625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22919011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3444 (base 7) to base 2.\nAnswer: 10011101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 16*x**2 - 5*x - 345. What is the tens digit of y(-18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/1)\/((-150)\/150).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -2*q - 206, -3*q - 3*c - 318 = -0*c. Let a = -109 - q. Calculate the remainder when 34 is divided by (a\/2 + -1)*(-100)\/30.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69773?\nAnswer: 11, 6343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + o = 1 - 5, -o - 20 = -5*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.1 - -0.1. Which is the third smallest value? (a) -2 (b) x (c) -161\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(364)*2)\/sqrt(7))\/(sqrt(4) - (sqrt(324) - (sqrt(324) - (sqrt(324) - sqrt(324)*1)))))**2 + (sqrt(260)\/(sqrt(20)\/sqrt(4)))\/sqrt(4) + -3.\nAnswer: sqrt(13) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -r**2\/2 + 1. Let v(w) be the second derivative of 0 + 0*w**2 + 1\/6*w**4 - w + 0*w**3. Calculate v(c(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 115081419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - c**2 + 24*c - 22. What is the remainder when y(-7) is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3307337.\nAnswer: 11, 300667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 10*l**5\/3 + 831296*l**4\/3 + 5760659070*l**3 + 234864039668*l**2\/3 - 355770890024*l\/3 + 34541347280 = 0.\nAnswer: -41558, -15, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 804 - 43*u - u**3 - 804 + (u + 5*u - 3*u)*(4*u**2 + u**2 - 3*u**2) + 3*u**3 - 2*u**3 - 3*u**3.\nAnswer: 3*u**3 - 43*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/25 of a kilometer in centimeters?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 2)*(-2*p - 4 + 4)*(0*p - 18*p - 5*p + (-3*p - 2*p + 3*p)*(-2 + 0 + 3)) in the form b*p + l + o*p**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*d + 4*d - 2*d**2)*(129 - 129 - 5*d**2) - 14*d**2 + 19*d**2 - 1326*d**4 - 5*d**2 as b*d + w*d**3 + g*d**4 + u*d**2 + r and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1435 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-16)*-11)\/((-1)\/4). Suppose -4*w = -5*r - 7 - 3, w = -3*r + c. Let n(g) = -g**3 + 3*g**2 + 7*g**2 - 6*g**r - 1. Calculate n(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1049*r + 5872*r**3 - 5871*r**3 + 302*r as f + m*r**2 + b*r**3 + c*r and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 m when four letters picked without replacement from vxxmxvxxvvvmv.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of 0 + 1\/6*n**3 - 3\/8*n**4 + 0*n**5 + 0*n - 6*n**2 - 1\/360*n**6. Let i(l) be the first derivative of b(l). Give i(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + 2 + (-335)\/(-5). Suppose -68*w + a*w + 36 = 0. Suppose -w*q + 10*q = -34. Is 17 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -69, -104, -145, -192, -245, -304, -369?\n\"Answer: -3*g**2 - 26*g - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 4, -27 in increasing order.\nAnswer: -27, -5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -176 divided by 1066042.\nAnswer: -88\/533021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k + 11. Calculate j(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + n + n + 0 + 0 + 2*n + (-n + 0*n + 3*n)*(-2 + 1 + 3) + 1 - 1 - 3*n)*(-1 + n + 1) + 4*n**2 - 526 - 544 + 1066.\nAnswer: 10*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x + 17 = -16. Let y be 56\/6 + 1\/x. What is the hundreds digit of 13\/(y + -6 + 38\/(-13))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127954398.\nAnswer: 2, 3, 11, 13, 19, 47, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 139*m + 3102. List the prime factors of f(0).\nAnswer: 2, 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -4*k - 2 + 0*k**2 + k**2 + 11*k. Let l be c(-5). Let f be l\/(-30) + (-36)\/(-10). Solve -a = -4*x - f - 3, a - 1 = 2*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4*v**3 - 3*v**2 + 519*v + 521. Determine f(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 9*h - 140. Let f(c) = 27*c - 421. Let j(b) = -17*d(b) + 6*f(b). Let n be j(21). Solve 0 = 5*u + n - 18 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*y**2 - 26*y + 6.\nAnswer: -2*(y + 1)*(16*y - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 5*m - m + (2*m + 2*m - 2*m)*(6 + 5 - 4))*(m**2 + 0*m**2 + 0*m**2) + 0 + 0 + 2*m**3 + (m + 6*m - 5*m)*(-2*m + 2*m - 2*m**2).\nAnswer: 9*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -5. Let c be ((-16)\/(-10))\/(g\/15). What is the remainder when (-17)\/((-2)\/c*2) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 c when three letters picked without replacement from ccccocoozocccc?\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**3 + 176*j**2 - 343*j + 1535. Determine x(-90).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44793*c**2 + 44780*c**2 - 89562*c**2.\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2146 and 255896.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1411950511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3510\/4 - 4\/8 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2557909646?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220122000 - -2?\nAnswer: -220121221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -94027626 divided by 31342542?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 90 + 15. List the prime factors of d.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((40\/14)\/((-64)\/(-128)))\/((-2)\/7)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3136 - 2469. Solve b = -12*j + 583 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-4))\/((3264\/680)\/(4\/(-10)))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 118*f**2 - 2*f + 21 - 40 + 20 + 4*f as x*f + k + r*f**2 and give r.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 278109980 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -296 - -3254\/11. Let r = -263287\/21 - -12545. Let q = r + 1\/21. What is the common denominator of q and x?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**3\/h**(-7)*h**(-3)\/h**4)**(5\/9) assuming h is positive.\nAnswer: h**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -6*g - 4. Let j = 0 + 10. Let z be (-4)\/12*(j + -1). Calculate the remainder when 26 is divided by o(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 6*o**2 + 11*o + 8. Determine z(-8).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, e: 13}. Give prob of sequence eeee.\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21 + 23 - 37 + 7*j**2 - 55*j**3 + 26*j**3 + 25*j**3 to z*j + p*j**3 + u + r*j**2 and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -k**6\/60 + 13*k**5\/30 - 23*k**4\/24 + 7*k**3\/3 - 6*k**2 - 4. Calculate the lowest common multiple of 14 and i(12).\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18\/24*4\/3 + 348 is divided by 56?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i be 25\/(-3) - 1\/(-3). Let k(d) = -d**3 + 96*d**2 - 2266*d - 158. Let l be k(54). Which is bigger: l or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - -1. Suppose -2872 = 6*z - f*z. List the prime factors of z.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a + a + a + (0*a - 5*a + 3*a)*(-1 - 2 + 2) + 3 - a - 3 + 2*a + 3 - 3 - 5*a + 4*a + 6*a - a + 3*a + a + (-3 + 0 + 1)*(3*a - 4*a + 2*a).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 54146, -1, -1\/4 in decreasing order.\nAnswer: 54146, 3, 1, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 5:43 AM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 170153941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**2 - 54082*x + 162264 = 0. What is x?\nAnswer: -27044, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -5 - 0) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 0.1, -7\/8, 79, 1 in decreasing order.\nAnswer: 79, 1, 0.1, -1\/3, -7\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 110845?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/4*(-10)\/(-15). Let q = 3.03 + -0.03. Let z = -1 + q. Which is the closest to 0.2? (a) n (b) z (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -493738 divided by -13.\nAnswer: 493738\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-30))\/(9\/(-63))\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from esveevep. Give prob of picking 2 e.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 9:04 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1184329 or 8290302\/7?\nAnswer: 8290302\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 6 = -5*k + 4, 0 = 3*k - 9. Let i(s) = -7*s. Give i(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1240*d + 1240*d + 101*d**5 + (2*d**3 + d**3 - 5*d**3)*(-d + 3*d**2 + d).\nAnswer: 95*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*f + 18 - 43 = 0. Let j be (f - -4)*(3 + -2). Suppose 0*b + 6 = 2*b. Solve 0 = -j*s - b*v - 6, v + 0 = 3*s - 2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 7\/(-2))\/((-60)\/16)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1017 rounded to the nearest 10?\nAnswer: -1020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26412372 divided by -134757.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2971, 11908, 26805, 47662, 74479, 107256?\nAnswer: 145993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 103498 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: Let f = 0.135 + -0.035. What is the nearest to f in -0.3, 0.2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2 - 7*k + 4. Let l be w(3). Let x(t) = -t**2 + 8*t - l + 8 - 12. List the prime factors of x(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*k**4 + 970*k**3 + 333*k + 60550547?\nAnswer: -8*k**3 + 2910*k**2 + 333","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 0*h + h**3)*(0*h - 2*h + 0*h) - h**4 + 3*h**4 - h**4 - 6261*h**4 + 96*h**4 - 11142*h**2 + 11142*h**2.\nAnswer: -6166*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28548, 57114, 85694, 114288, 142896, 171518, 200154?\nAnswer: 228804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -1\/3 (b) -1\/5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -328\/15*l - 2\/15*l**3 - 122\/15*l**2 + 232\/3 = 0?\nAnswer: -58, -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 7*b**2 + 4*b + 8. Let a be d(-6). Let v = a + -1. Let n = -1675 + 1682. What is the remainder when v is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 78.1 and 11737142.\nAnswer: 11737220.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of 3\/2*h**3 - 2*h**2 - 13\/24*h**4 + 0*h + 1\/120*h**6 - 2\/15*h**5 + 0. Is n(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 100*q**5 - 2280*q**4 + 4576*q**3 + 115008*q**2 - 93632*q + 18816 = 0.\nAnswer: -6, 2\/5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18696?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9*6\/(-54)*(-6)\/4. Which is the closest to 3? (a) m (b) -0.1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 35*b - 81. Calculate x(28).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3*s + 15 = 0, -5*m + 2*s = -m - 14. Let g(h) = 7 + 2*h**m - 7. Let y(o) = -2*o. Calculate g(y(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6 - (-12 - -3))*4\/6. Solve 5 = -p*m + 3*m + 3*u, 4*m + u = -2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -55 greater than -4248\/77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 193069757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -bb880?\nAnswer: -bb882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.07 + -0.17. Let d = -0.4 - o. Let a be (14\/(-4) + 2)*-2. What is the second biggest value in -4\/3, d, a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.042 (b) 1380 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 0 in increasing order.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**3\/2 - 321*y**2 - 649*y\/2 + 1929 = 0.\nAnswer: -3, 2, 643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 18. Let z(h) = 4*h**2 + 6*h - 5. Let y(t) = -1 - 4 + 2*t**2 - t**2 + 4. Let b(r) = i*y(r) + z(r). Give b(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2051752*p**2 + 996231 wrt p.\nAnswer: 4103504*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02939610511 - 147.\nAnswer: -147.02939610511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4*h - 3. Let v(a) = -11*a + 8. Calculate 17*u(w) + 6*v(w).\nAnswer: 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35450*r + 35448*r + 35448*r + 35682*r - 31*r**3 - 142028*r.\nAnswer: -31*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 491690 (base 10) to base 14.\nAnswer: cb28a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/18 + (-7)\/(-42)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**3\/5 - 1068*u**2\/5 - 19635*u - 110250 = 0. What is u?\nAnswer: -175, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1692 divided by -6?\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3 - 10 = -l, -3*d = 0. Suppose 4 = -g + l. What is the first derivative of 15*v**3 - v**3 - 15 - 2*v**g wrt v?\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (14 + (-9)\/((-15)\/5))*(-1 + 6). Solve 32*k + n = 49*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24677*l**2*n + 1005721*l**2 - l*n**2 - 4*l*n - n**2 wrt n.\nAnswer: 24677*l**2 - 2*l*n - 4*l - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-6 + (2 - -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 5*k**2 + 3285*k - 1748700 = 0.\nAnswer: -1005, 348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 33472 - 154?\nAnswer: 33317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 5*l - 1189 = l - 1143, -j - 5*l = -62 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74*87\/37392 - 4\/38 and 15\/28.\nAnswer: 2296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 8 = -4. Let y be 265\/15 - (-2)\/m. What is the highest common factor of y and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 6*w + u - 10, 5*w - 6 = 2*u. Suppose -4*p + k = -w*p + 14399995, 3*p - 2*k + 21599990 = 0. Round p to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -765*k**4 + 24*k**3 - 9*k**2 + 12*k + 116. Let p(t) = 4*t**3 - t**2 + 2*t - 1. Let i(h) = -6*p(h) + r(h). What is the third derivative of i(q) wrt q?\nAnswer: -18360*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-11 + 6 + -2)) + 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -16540*y - 20. Let m be c(-13). What is m rounded to the nearest 10000?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, -3, -9, 0.3, -4, -3\/20?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 1 = 5*s. Suppose s*m + 15 = 5*m - 5*n, -5 = -m + 5*n. Suppose m*t - 6*t + 8 = 0. What is the remainder when 22 is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10618 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - y + 0*y)*(3 + 3 - 4) + y - 6*y + 0*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -0.82, 4.\nAnswer: -0.82, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/4 (b) -1 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4922*n. Let a(i) = 179*i. What is 138*a(j) - 5*y(j)?\nAnswer: 92*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*g + i, 2*i + 3 = 4*g + 1. Suppose 3*c = 2*n - 2, c + 10 = 3*n - 0*c. Let a be ((1 - n) + 2)\/1. Put 3, g, 1, a in decreasing order.\nAnswer: 3, g, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 11) to base 3\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 - -6. Suppose 3*b - 4*c - i = -c, 2*b - 28 = 4*c. Let u be ((-8)\/(-10))\/(-1 - (-7)\/5). Solve 4*h + 11 + 9 = 4*o, -4*o = u*h + b for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 35289 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -ba (base 14) in base 5?\nAnswer: -1124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 116 + -55. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-155*u + 250*u + 9 + 45*u**2 - 44*u**2)*(-5*u**2 + 4*u**2 + 0*u**2).\nAnswer: -u**4 - 95*u**3 - 9*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -6*u - 33. Suppose -4*a = 2 - 6. Let i be (a*4)\/((-11)\/55). What are the prime factors of f(i)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 475454 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -2087, 7.\nAnswer: -2087, 3\/5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -489*u**3 + 1491*u**2 - 1491*u**2 - 80 + 485*u**3.\nAnswer: -4*u**3 - 80","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 25674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 70074 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 55230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(704) - (sqrt(704) + -1)) + 1 + 5*sqrt(704)*1) - (1 + 2 + sqrt(704) + -2)*4)**2.\nAnswer: 1024*sqrt(11) + 180240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.05 and -204?\nAnswer: -10.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -738775337*q - 455668979 wrt q.\nAnswer: -738775337","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-5)\/(60\/12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1711890563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 533 and 1402733?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 6*n**2 + 19*n - 7. Let p be c(8). Let t = p + 1092. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-32)\/6)\/(4\/(-6)). Let z(g) = g**3 - 7*g**2 - 6*g - 11. Let c be z(a). Suppose -5*l - 9 = -2*u, 63 = 5*u - u + c*l. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10345 - 3154?\nAnswer: -13543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130033 (base 4) to base 6.\nAnswer: 12211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((p\/(p*(p\/(p\/(p\/p**0)))\/p*p*p*p))\/p)**41)**(-1\/16))**30)**38 assuming p is positive.\nAnswer: p**11685","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 6*j**2. Let s(n) = 277*n. Calculate f(s(w)).\nAnswer: 460374*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 825734 divided by 2366.\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 0.2, 2\/3, -13, 107.\nAnswer: -13, -1\/7, 0.2, 2\/3, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -193\/72210 and 139\/2610.\nAnswer: 216630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 566392?\nAnswer: 1\/141598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 11*c**2 + 13*c - 5. Let a(y) = -18*y**2 - 25*y + 8. Determine -6*a(x) - 10*m(x).\nAnswer: -2*x**2 + 20*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2350625*-16.\nAnswer: 37610000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 20 = -0*z + 3*r, 0 = z - 5*r - 36. Solve z = -0*n + 4*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 288306 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 3 (b) -7 (c) 6 (d) 29\/2 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 + 41 = s, s = 4*b - 6. Let r(z) be the third derivative of 0*z + b*z**5 + 0 - 1\/120*z**6 - 1\/3*z**3 + 1\/12*z**4 + 13*z**2. Determine r(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 417\/8 + -52. Let s = 3.04 + -3. Let z = 0.36 + s. What is the smallest value in g, -0.4, z?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -124638, -124680, -124748, -124842, -124962, -125108, -125280?\n\"Answer: -13*j**2 - 3*j - 124622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 - 15 = 2*t + 4*f, 5*t + 55 = -5*f for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 194647163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -155\/3169026 and 67\/258696.\nAnswer: 12676104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*t + 9264 - 7275 = -8671 - 14300. What is the remainder when t is divided by (-21)\/(-2)*4\/1?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-34 - -23 - (-4 - 6)) - 15?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**3 + 232*m**2 + 9*m + 1043. What is o(-116)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 2*r = -5*z + 4, 5*z - 5 = 2*r for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 221 - 211 - (-18 + (-3 - (-10 + 3))).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5670 and 482265?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 224942 and 1737214?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 66952494 divided by 1071\nAnswer: 62514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of 16*r**2 + r + 1. Is c(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = s + 2. Let y = 188489\/198 + -10548\/11. What is the common denominator of 79\/20 - s - 1 and y?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(10\/(-4)) - -32. Calculate the greatest common factor of o and 120.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16954557.\nAnswer: 3, 5651519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(3) + 2) + sqrt(363)*-4)**2 + (-2 + sqrt(3) + sqrt(27) - (sqrt(243) - ((3 + sqrt(243))**2 + sqrt(243)))).\nAnswer: 238*sqrt(3) + 6329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.276 - -4495955.\nAnswer: 4495956.276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.2, 50.2, -0.1, 80?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -285, -569, -853?\n\"Answer: -284*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 641.\nAnswer: 1282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.5 and 6.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 9:54 PM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 307824763 divided by 624391.\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 7*b + 4. Let y be 2 - (-1 + 3 + -6). Calculate the lowest common multiple of z(y) and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/4 + 3\/4*z**2 + 1\/4*z**3 + 3\/4*z = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1258960515.\nAnswer: 3, 5, 83930701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 6454 = -3*b - 1837, 0 = 3*b - j - 4619. What is b rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*a**3 + 52*a**2 - 2 + 8*a**3 - 48*a**2 to the form k*a**2 + n*a**3 + q*a + j and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i + 7. Let z(d) be the second derivative of -1\/3*d**3 + 0 - 3\/2*d**2 + 7*d. Let q be 2\/(1 - -1)*-7. Determine q*z(h) - 3*u(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 45*f**2 + 39*f - 216. Suppose -3*m = -m - 60. Calculate the remainder when m is divided by s(-44).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 2:10 PM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3544.2 + 3544. Let w = -16\/3 - -71\/15. What is the fourth smallest value in 2, m, -4, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1022 - 1?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 4 - 1 - 7 - 1 + 6*t.\nAnswer: 6*t - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/((-96)\/(-18)) + (4543\/2 - -6). Which is smaller: q or 2277?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-113 - -234) + 7 + -24?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 15) in base 3?\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.9 + 5. Let v = -11 + 9. What is the nearest to -1 in j, v, 0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*n + 46*n - 25*n.\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -273.5 times -2.47?\nAnswer: 675.545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.007 - 0.107. What is the closest to -2 in 9, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/((-4)\/(-42)*-3). Find the third derivative of -c**6 + 4*c - 4*c - w*c**2 - 11*c**6 wrt c.\nAnswer: -1440*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-6) - (-170)\/51) + 3. Solve s = -5*o + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a micrometer in nanometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -20 - (-270)\/225*(19 + 6)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((-2)\/20 - ((-3451)\/70)\/(-17)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 37 = 5*f - 0, -3*y + 2*f + 2 = 0. Factor -1\/2*b**5 - 1\/2*b**2 + 0*b - 3\/2*b**3 - 3\/2*b**y + 0.\nAnswer: -b**2*(b + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 340*a**2 - 1066*a**2 + 361*a**2 + 374*a**2.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zyz when three letters picked without replacement from zcjcddzdcyzddddjzc.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 37019559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((-15)\/(-24)*4). Factor 2\/5*o**2 - n + 3\/5*o.\nAnswer: (o + 2)*(2*o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2 - 22*t + 13. Give f(8).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/492 and -25\/48?\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2. Let p(l) be the second derivative of -l**5\/30 - l**3\/2 + l. Let w(r) be the second derivative of p(r). Determine k(w(q)).\nAnswer: 32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**5 - c**5 - 2*c**5 + (0*c**2 + 0*c**2 + c**4)*(2*c - c + c) - 2*c**5 + 5*c - 5*c + 2734*c**5 + 2*c + 1473*c**5 + 2889*c**5 - 2*c.\nAnswer: 7095*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-50 + 47 + 30 + (1 + 1 + 0)*(1 + 3 - 3) - 1 - 2 + 0)*(-4*f**2 + 2*f**2 + 4*f**2) to b*f + v*f**2 + u and give v.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 39572812 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5bbda (base 14) to base 11\nAnswer: -143833","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + -1)\/(9 + -7). Let j(m) = -m**3 - 3*m**2 - 3*m - 3. Let t be j(-2). Is r greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 430 + -418. Let c(i) = -i**3 + 14*i**2 - 9*i + 14. Let n be c(13). Let f = n - z. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-60)*-35*4\/6*-6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34497 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) -1\/3 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.055 in -2, -3, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 48, -0.8, -5, -1?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(832) - (sqrt(832) + 4 + (-3*sqrt(832) - sqrt(832)))**2) + (sqrt(832)*-1 + 4 + (-2 + sqrt(832) + sqrt(832))*2)**2.\nAnswer: -400*sqrt(13) + 22496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 15*m - 39. Calculate the remainder when 147 is divided by c(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-10) - (-210)\/(-25). Let h be -2 + 2 + (-137 - w). Let t = h - -189. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i**(2\/7))**(2\/65))**(1\/4))**(-6\/5))**(-9) assuming i is positive.\nAnswer: i**(54\/2275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 + -27. Suppose m = -0 + d. Is 2 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - c, -2*c = i - 6. Suppose 2*q + 0*q = -4*s + 32, s + 10 = q. What is the highest common divisor of q and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from hhyyhhhyhhyhyh.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w + 5*w - 2645 + 2645.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 98459550 divided by 26082\nAnswer: 3775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-6)*15\/(-35)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 358111.\nAnswer: 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23908391 and 7748.\nAnswer: 1937","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 218, 303, 380, 455, 534?\n\"Answer: y**3 - 10*y**2 + 108*y + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j - 3. What is k(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 0 = w, -2*w = -4*u + 26. Let i(m) = -m + 15. Calculate the remainder when i(5) is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -z**6\/40 - z**5\/60 + 13*z**2\/2 + 3. Let l(n) be the second derivative of r(n). Find the third derivative of l(k) wrt k.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1648.95993 rounded to the nearest ten?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7469 = -2*f - 5*r, -4*r - 4552 = 5*f + 14146. Let m = f - -609950\/163. Let g = m - 529\/1630. Is g > -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1773, -1644, -1499, -1392, -1377, -1508, -1839?\n\"Answer: -9*p**3 + 62*p**2 + 6*p - 1832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1913163 to the power of 1\/3, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 139114, -0.4, 6, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1758768*l + 1758761*l - 2*l**2 + 34*l**2 to q + s*l**2 + w*l and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3))**(-4\/23)*i\/i**(-2\/19)*i**(-4)\/i assuming i is positive.\nAnswer: i**(-1474\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 108? (a) 3 (b) -3 (c) -9.6 (d) 1 (e) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73118752 divided by -727.\nAnswer: 100576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/71955 and -34\/81.\nAnswer: 215865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 + 18. Let q(z) = -4*z - 10. Calculate the remainder when 14 is divided by q(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 71550 and 510.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-838)\/(112\/64 - (-2)\/8). Let j = g - -486. Does 67 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 190*w + 1153. Let d(j) = -54*j - 384. What is 7*d(f) + 2*z(f)?\nAnswer: 2*f - 382","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i. Let s(q) be the first derivative of 20951*q**3\/3 + 9698. Calculate o(s(b)).\nAnswer: 41902*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-21684)\/(-52)*(-1)\/(-6)*2. Solve 9*n = -i + 184 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 611?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -35 + 36 - 8*i - 2*i + 11*i - 11*i. Let d(n) = -10*n. Give j(d(f)).\nAnswer: 100*f + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of f**7\/105 - f**6\/25 + 3*f**5\/50 - f**4\/30 + f. Factor v(w).\nAnswer: 2*w**2*(w - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 8*q**2 + 7*q + 10. Let g = -186 - -277. Suppose 8*d - g = 21*d. Calculate u(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(5\/7)*h*h*h*h)\/h**(2\/19)*((h\/(h**(-12\/11)*h))\/h)**(-5\/4))**(1\/14) assuming h is positive.\nAnswer: h**(32159\/81928)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.41 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + p - 2. Let j be m(3). Let y = j - -4. Suppose -4*w - 15 = 3*g, -2*w + 4*g - 3*g = -5. Sort 5, y, w in descending order.\nAnswer: 5, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.6 + -2.4. Let c be 18 + -15 - -2*8\/(-4). What is the fourth biggest value in b, c, -2, 0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99240.6163 rounded to the nearest ten?\nAnswer: 99240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, c: 4, m: 6, k: 2, d: 1}. Give prob of picking 1 z, 2 m, and 1 k.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1163 - -1162.9998756. Round i to 6 dps.\nAnswer: -0.000124","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/18)\/((-1)\/3). Suppose d + 4 = 0, 0*r + 3*d = -s*r + 8. What is the lowest common multiple of 8 and r?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (36\/21)\/(3960\/(-34650))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1*3015963\nAnswer: 3015963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 317 = 253. Let h = 268 - a. List the prime factors of h.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 497 and 34790.\nAnswer: 34790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15.4040008 - -15.411. Let x = i - 0.007. Round x to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68346306 divided by -114?\nAnswer: -599529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2119 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0097 + 15.3903. Let w = m + -14.4. Which is the nearest to 0? (a) 0.5 (b) w (c) -0.1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 5*j**3 - 65*j**2 - 21*j + 342. What is the remainder when 279 is divided by h(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - u**2 - u. Let h(c) = -4*c**3 - 7*c**2 - 3*c. Let b(v) = -2*h(v) + 6*p(v). What is the third derivative of b(a) wrt a?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28687552 divided by 346?\nAnswer: -82912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 808, 331, 6 in decreasing order.\nAnswer: 808, 331, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 77614 + -48470. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 802 is divided by 213.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 803842?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of 0*s**2 + 0 - s**3 + 34*s + 1\/12*s**4. What is b(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -t - t - 5*o, 9 = 3*t - 5*o. What is the least common multiple of 11 and t - -6 - -1 - -4?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2943724189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8956 to the power of 1\/2, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j - 4*t + t = -3, -512229*j - 3*t + 8 + 1 = -512226*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -158.6 - -178. What is w rounded to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -730 - -735. Let j be 2\/4*-1*(-1)\/y. Factor 1\/10*h**3 - 1\/10*h**4 + 0*h + 1\/10*h**2 + 0 - j*h**5.\nAnswer: -h**2*(h - 1)*(h + 1)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-w + 0*w + 3*w)*(-4 + 5 - 2) + w + 0*w + 2*w)*(3 - 6 + 0)*(1 - 3 - 1) to b*w + m and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3149169 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)*3 - sqrt(19)) + (sqrt(19) - (sqrt(95)\/sqrt(5) + -2)) + -1 + sqrt(19) + -1 + (sqrt(57)*-2)\/sqrt(3))**2.\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35840 and 329504000?\nAnswer: 8960","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5752553 - 8652553. What is x rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -545, 1, 2 in ascending order.\nAnswer: -545, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 15, 2*b = -p - b - 3. Suppose -2*k = -0*k. Let j be k + (-16)\/72 + 317\/9. Solve -3*z + 30 = 3*x, 5*x - j = -p*z + 4*z for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 9, -2070, 518 in increasing order.\nAnswer: -2070, -2, 9, 518","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of j - j**2 + 1\/3*j**4 + 7\/6*j**3 - 13. Let u(w) be the first derivative of b(w). Factor u(v).\nAnswer: (v + 2)*(4*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-9) + 4\/18. Suppose -7*k + 0 + 623 = x. Is k a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 8 - 2 = 0. Let k be (-1)\/(3\/l) - 1. Let r(y) = 8*y**2 + y - 1. What is the tens digit of r(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 4*b. Let v be f(5). Suppose -o - 2*o + 15 = 0. What is the greatest common divisor of o and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 3:36 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-1\/8))\/(h*h\/((h\/(h\/h**(-2)))\/h))*(h\/((h*h*h*h**2)\/h))**(3\/14))**(2\/21) assuming h is positive.\nAnswer: h**(-253\/588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + -2. Let p = l - -8. Let x be 40\/15 - (-1)\/p. Solve -8*c + x*c = -15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -5. Suppose 31 - 216 = -j*n. Is n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.2690798 to four dps.\nAnswer: -1.2691","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yclry. What is prob of picking 1 l, 1 y, and 1 r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -111564043 - -12?\nAnswer: -111564031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(440)\/(-2*sqrt(8) + sqrt(8)))\/sqrt(5).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 115. Let z = l - -64. Let y be 3\/(-12) - z\/8. Solve -y*t = -4*h - 36, 4*h - 5 + 25 = t for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.55484 millennia in decades?\nAnswer: 5155.484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - f + 14 = -0*z, 3*z - 2*f = -23 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6}. Give prob of picking 2 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 5*a - 76 = 0. Let p = -230\/3 - a. Sort 3, p, -3\/2.\nAnswer: -3\/2, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5951 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, r: 3}. Give prob of picking 2 r and 2 j.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51 + -2 - (-7 + 1 + (223 - 224)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a - 1. Let g be w(1). Solve 5*v - b + 5 = 0, v + 1 = -g*v - b for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 212758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppr when three letters picked without replacement from {r: 1, p: 7, h: 2}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 13 = b, 3*b + q = 5*q + 6. Is -10\/9 <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-6))\/((-3)\/12). Differentiate -5*r + 4*r + j*r + 3 with respect to r.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 - (3 + 1) - -194. Suppose -2*g + 129 + p = 4*k, -2*k + g + 155 = 0. Let f be -13*(0 - (1 + 3)). What is the highest common factor of k and f?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - -1 - 250) + -2. Let f = 210 + t. Sort 5, -3, 1, f in decreasing order.\nAnswer: 5, 1, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = g - 1548, 29*k + 318 = 30*k - 4*g. Calculate the remainder when k is divided by 137.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(1872) + -4*(1 + sqrt(1872)))*-3 + 1 + -2)**2.\nAnswer: -864*sqrt(13) + 151648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 5*q - 10. Let f be r(-7). Let y(w) = 10*w + 1 - 16*w - w**3 + 5*w**2 + w**2 + 2. List the prime factors of y(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56995450 and 150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -317217\nAnswer: -158608.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -329308.031 and 1.8064.\nAnswer: -329306.2246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.16 * 1029231.\nAnswer: 164676.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.02 in 0.1, -0.8, 0.11?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(-7\/2)\/o))\/o)\/o*o**28*(o\/(o*o\/(o**(-33)*o*o)))\/o**(-2\/131) assuming o is positive.\nAnswer: o**(-127\/262)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 43?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 3. Let q be (n - 11*-2) + 0. Let k = q - 19. Solve -25 = -k*o - 4*a, 5*o - 8 = -2*a + 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.1 + -1.1. Let z = v + 4. Let l = -4.8 + 0.8. Sort -1, l, z.\nAnswer: l, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/9)*u)**(-12\/5)*(u\/(u\/u**0))**(9\/2) assuming u is positive.\nAnswer: u**(-44\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7490601 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 191870139*f + 118810175 wrt f?\nAnswer: 191870139","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.061 - -0.061. What is the closest to 0.1 in 5, i, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 355*g + 218. Let b(w) = 89*w + 54. Let f(c) = 9*b(c) - 2*s(c). Differentiate f(t) with respect to t.\nAnswer: 91","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 304586 is divided by 697?\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 10, -3*b + 6*j + 697 = 2*j. List the prime factors of b.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/60 and 2955\/7200 + (3\/6)\/((-12)\/8).\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3342730 divided by -6355.\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.258526751 - 0.258415. Round o to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1002865079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2709\/(-135) + -17 + (-4864)\/(-285)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jgggjgggjjgj. What is prob of sequence ggjj?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 1921*d - 1026010. Calculate g(534).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1404 + -610554?\nAnswer: -606150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*h + 420. Is 21 a factor of (2\/4 + -1)*h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.173961888 to three decimal places.\nAnswer: -0.174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*r**5 - 216*r**4 - 972*r**3 - 1064*r**2 - 294*r = 0. What is r?\nAnswer: -7, -1, -3\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 155 (b) 2\/21 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 79, 156, 233?\n\"Answer: 77*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 2, 64, 95279 in decreasing order.\nAnswer: 95279, 64, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 276 and 24?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 32027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2205 - -2207. Suppose -4 = -2*t - 14, 3*t + 5 = -2*s. Suppose -6 = -s*p - 1. Which is the nearest to p? (a) m (b) -2\/5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z = -3*u + 5*z + 265 - 329, -u + z - 9 = 9 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 5:26 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1829310222 + 1829310049.9999819. Let c = y + 172. What is c rounded to 6 dps?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 13*n + 5. Let i be t(13). Let a = 14 - 11. Let q be -1 - 2\/6*a. Put q, 4, i in descending order.\nAnswer: i, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-59)\/((-6608)\/56)*1\/334*1*-8?\nAnswer: -2\/167","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (75\/(-9))\/(4\/(-8))*303\/(-101).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 2132212091 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 66*o*t**3 - 144*o*t - 11*t**3 - 3*t**2 + 1 wrt t?\nAnswer: 396*o - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13937 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -60, -130, -202, -276, -352, -430, -510?\n\"Answer: -o**2 - 67*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 25 + (-22 - (-9 + 0)) - -6\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4330870)\/(-16) - (4323\/264 - 16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 300*g + 184*g - 61*g - 27*g + 90*g.\nAnswer: 486*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 4, -0.4, -0.5, 0.104?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 12:14 PM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7324 + 7379. Let b(j) = 11*j**2 - 6*j. What is the remainder when b(4) is divided by u?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p - 9. Let k be b(-14). Suppose -k*u + 0*u = -460. Suppose u = a + a. What is the remainder when a is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 9 = -3*f, 3*f - 3 = -2*i - 0*f. Calculate the common denominator of (-4 - -1)*(-1)\/8 and (6\/9)\/(i\/(-56)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1895348.\nAnswer: 2, 7, 13, 41, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(1\/1)*3\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-2 + (9 - 4 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4003313 (base 5) to base 10.\nAnswer: -62958","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53614 is divided by 1621?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 209 + -65. Suppose -8*l + 4*l = -b. Suppose g = -c + 111, 12*g - 13*g = 3*c - 117. What is the greatest common divisor of g and l?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44332 (base 5) in base 15?\nAnswer: -db2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -8*n**2. Let q(y) = -4*y**2 + 152306*y. Calculate q(j(d)).\nAnswer: -256*d**4 - 1218448*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + -3)*4\/(-6). Calculate the remainder when (232 + 1 - -9)\/(a\/2) is divided by 62.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 38*k - 162. What is the remainder when 186 is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((-1)\/2) - -2. Let n = 15 - 10. Find the third derivative of i*h**5 - 2*h**2 - h**n + 3*h**5 wrt h.\nAnswer: 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(1 - -3 - 3). Solve 2*g - 9 = o, 2*m + 4*g = 24 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p + 6. Suppose 7 = 3*j - 26. Let c = j - 11. Calculate s(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -45 - 10*s + 4*s + 5*s - 2*s. Let t be w(-15). Find c, given that 0 + 2\/3*c**2 + t*c = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -150.3 + 78.7. Let m = u - -65. Let f = -1.6 - m. Which is the second biggest value? (a) f (b) 0.2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/1027481 and 32\/1911.\nAnswer: 3082443","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41\/3 - -14. Let f be 6\/(-2) + 1*-37. Let u be ((-2)\/35)\/(8\/f). Which is the closest to -3? (a) 4 (b) y (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1501573.\nAnswer: 1501573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-450)\/(-540)*(10 - (-59)\/(-5))*(1 - -25)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14 and 10.5.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*d - 34*d - 1 + 196*d**4 + 54*d)*(0 + 1 - 4).\nAnswer: -588*d**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 268a8?\nAnswer: -268a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2240 + 2239.9. Which is the closest to u? (a) -1 (b) 3 (c) 2\/3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -956 divided by 2\nAnswer: -478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002522117 to 4 decimal places.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j + j - j**2 + (-67*j - 14697 + 14697)*(-6*j + j + 3*j) + 2 - 2 - 2*j**2 + j**2 + 2*j**2 - j**2.\nAnswer: 133*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r + 21 = 23*r. Let v = 8 + -5. Suppose 0 = g - 4*f - 49, v*f = 6*g - g - 245. What is the greatest common divisor of r and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12\/7 or -48\/13?\nAnswer: -48\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2 - 9*c - 2. Let m be o(5). Do m and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**0)**(1\/81)\/((u\/u**0*u)\/(u\/u**(5\/6))))\/((u\/(u*u**0\/u))\/u**(-2)*(u\/(u**5*u))\/u**(-6)) assuming u is positive.\nAnswer: u**(-35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 30909 and -2\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + l - 465, -5*z + 4*l = 46 - 536. Let q = 55 - z. Let d be (-4)\/26 + (-45)\/q. Which is the closest to -2\/7? (a) -2\/11 (b) -1\/9 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(450) + -1*sqrt(450))*2)\/sqrt(10))\/(sqrt(441)*-2*-6)*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 10, 32 = 5*w - m - 1095. Calculate the greatest common divisor of 765 and w.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of -s**7\/84 - s**6\/15 + s**5\/40 + s**4\/6 + 10*s + 1. Suppose p(x) = 0. Calculate x.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32021003 (base 4) to base 5\nAnswer: -3323143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -271529 != -271528?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 6*i**2 - 7*i. Let c(r) = r**2. Give c(l(z)).\nAnswer: 36*z**4 - 84*z**3 + 49*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -209 + 216. Let r(y) = 8*y - 53. Let t be r(i). Let o(z) = -z**2 + 1. Let n(p) = -p**2. Give t*o(m) - 2*n(m).\nAnswer: -m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 27353, 26236, 25113, 23984, 22849?\n\"Answer: -3*g**2 - 1108*g + 28464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6380 + 6553. Calculate the remainder when 858 is divided by k.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 13*z**4\/2 + 13*z + 6. Differentiate o(a) with respect to a.\nAnswer: 78*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.1 (b) -0.3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(117) - (sqrt(117) + (sqrt(117) - (1 + -1*sqrt(117))))) + (sqrt(117) + sqrt(117) + 1)*-2 + (sqrt(117) - sqrt(117)*2*3))**2*2.\nAnswer: 792*sqrt(13) + 28386","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 16. Let k be (-1)\/(-5) - 2\/6. Let b = -8.2 + 2.2. Sort k, f, b in decreasing order.\nAnswer: f, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -643*v - 2597*v**2 - 182*v + 3283*v**2. Let o(w) = 138*w**2 - 165*w. Let k(y) = 2*b(y) - 11*o(y). What is the second derivative of k(u) wrt u?\nAnswer: -292","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 848414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2\/3, -3\/17, -4, 0.03?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -92*y**3 - 68*y**2 + 94. Let c(p) = -29*p**3 - 23*p**2 + 31. Let r(d) = -8*b(d) + 26*c(d). Let v(x) = -x**3 + x**2 - 1. Determine r(h) + 54*v(h).\nAnswer: -72*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a century?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46359)\/3434*((-96)\/9)\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 211316 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 88\/2082885 and 61\/43575?\nAnswer: 10414425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -7*h - 1. Let w(j) = 65*j + 17. Let z(p) = 22*p + 6. Let c(n) = -4*w(n) + 11*z(n). Give -5*c(a) + 12*r(a).\nAnswer: 6*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 37, 9, -0.1?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**0)**(-4\/35)\/(w**(-5)*w\/w**(-2))*(w*((w**(-1)\/w)\/w*w)\/w)**(-26)\/(w*w**(-1))**(-2\/63) assuming w is positive.\nAnswer: w**(1886\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k - 1. Let o = 14 - 9. Let i be s(o). Let q(h) = -h + 40. Let l be q(20). What is the greatest common divisor of i and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/103002 and -17\/10?\nAnswer: 515010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) + 0 - sqrt(396) - sqrt(396))*2)**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -b + 4*b. Calculate the lowest common multiple of 5 and b\/(-3) + (-1)\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kuu when three letters picked without replacement from xukuuukuxuku.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + 6 + -2 + 1\/1. Sort 14, k, 2 in descending order.\nAnswer: 14, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71.92 - 71.9200014506. What is y rounded to seven dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10805 and 5030.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**3 + 0*n + 0*n)*(-5 + 4 + 2)*(0*n - 2*n - 3*n).\nAnswer: 5*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 22629192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 83 - 117. Calculate the highest common factor of b and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*b + 7*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-2)\/(-20)*5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(153)*6)\/(sqrt(9) - (sqrt(324) + -2*sqrt(324) - sqrt(324) - sqrt(324))).\nAnswer: 12*sqrt(17)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 1264*l + 283202. Determine a(-224).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 657493?\nAnswer: 657493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y. Let k(z) be the first derivative of -4*z**2 + 6. Determine f(k(i)).\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.2 (b) 29 (c) -865 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*j + 13*z - 17*z, 0 = 2*j - 5*z - 15. Let m(h) be the third derivative of 0*h**3 + 1\/30*h**5 - 2*h**2 + j*h + 0 + 1\/4*h**4. Solve m(y) = 0 for y.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 402 divide 51106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from saiisassisiii. What is prob of picking 2 i?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 470*j**2 - 170*j + 675. What are the prime factors of b(4)?\nAnswer: 3, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**12*i)\/i)\/((i**11*i)\/i))**(13\/5) assuming i is positive.\nAnswer: i**(13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 816305488 to the nearest integer?\nAnswer: 28571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10541760 by 2635440.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*h - 12 = -27*h, -15452 = -5*z + 3*h. List the prime factors of z.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 75 = 8*n - 5*l, 0 = -3*l + 3. Suppose -3*w + 38 = -n. What is the remainder when 33 is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1608 = -3*p + 3*j, 38*p - 548 = 39*p - 5*j. Let z = 5394 + p. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -5*j + 3. Let g = j + -10. Let o be (-7)\/(-2) + (-3 - g). Which is the nearest to 1? (a) o (b) -4\/7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 589 and 124?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 26*k**2 + 33*k + 29. Let o be f(-24). Suppose 0 = -5*g - 3*l + 652, -3*g - 3*l + o = l. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3921637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -30, -41, -52, -63, -74, -85?\n\"Answer: -11*z - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence daa when three letters picked without replacement from {a: 4, t: 2, d: 11, k: 2}.\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -158, -175, -202, -239, -286?\nAnswer: -343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*z + 2. Let g be z*(2 + -1 + -2). Suppose -5*f - 3 = -2*t, -6*t + t = f + 6. Does g = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dmmdmdddmmmddmmdmd. What is prob of picking 2 d?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -2*m - 21, -g = -5 + 2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 17*p + 64 = 0. Let a(g) be the third derivative of g**6\/120 - g**5\/60 + g**4\/24 - g**2. Let r(n) = -3*n**3 + 2*n**2 - 3*n. Calculate p*a(q) - r(q).\nAnswer: -q**3 + 2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 99070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 127855 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3291, -6316, -9341, -12366?\nAnswer: -15391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b + 4. Give v(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -589.5058 to the nearest integer.\nAnswer: -590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gxx when three letters picked without replacement from {b: 4, x: 3, g: 1, w: 2, q: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(315)\/(sqrt(55)\/sqrt(11)).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.5 + 2. Let r = 17 + -110. Let i = r - -88. Put 0.4, 3, j, i in decreasing order.\nAnswer: 3, 0.4, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 648 divide 1683107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7250 and 4350?\nAnswer: 21750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -3*j**2\/2 + 38973*j\/2 - 97395 = 0.\nAnswer: 5, 12986","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 4:55 AM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -5*u - 2. Let i(p) = -p. Let h(x) = 12*i(x) - 3*k(x). Let d be h(-2). Solve d = -2*v, -4*g = -5*g - 3*v + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 1411, 5, 0.5 in decreasing order.\nAnswer: 1411, 5, 0.5, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65695, -6\/7, 255\/14 in increasing order.\nAnswer: -6\/7, 255\/14, 65695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 84 + -90. Let z(g) = g**2 + 7*g + 5. Give z(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.9218805 centuries?\nAnswer: 92.18805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -32 divided by -200213\nAnswer: 32\/200213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/1001 - 125129\/4004. Let r = i + 31. What is the nearest to r in 28, -1, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4172 is divided by 4158?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2. Let p(u) = -90*u**2. What is -90*i(y) - 2*p(y)?\nAnswer: 270*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**8\/i)*i**(3\/5))**(-38))**(1\/29) assuming i is positive.\nAnswer: i**(1026\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of 1\/6*k**3 + 3*k - 5\/2*k**2 + 0. Give p(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + 0.615026?\nAnswer: 0.215026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8795 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: What is the remainder when 847 is divided by 359?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9085261, 9085249, 9085231, 9085207, 9085177, 9085141, 9085099?\n\"Answer: -3*g**2 - 3*g + 9085267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27592368?\nAnswer: 2, 3, 631, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.72262 rounded to two dps?\nAnswer: 0.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 569624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-20)\/(-4) - -3) + -3. Suppose b = 2 + 1, 55 = -5*p - t*b. Let f = 18 + p. Let z(x) = -2*x - 4. Calculate z(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 5:30 AM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f**2 - 7*f - 2. Let v(w) = 2*w**2 + 9*w + 2. Calculate 7*r(k) + 6*v(k).\nAnswer: -9*k**2 + 5*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1099491 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6 + -7)*18*(-3)\/6. Suppose -4*f - t*f = -39. Solve f*r + 4 = -2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 5*k + 3*t - 31365, 0 = -3*k - 2*t + 18826. Suppose -124*l - k = -131*l. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q + 4*q + 2*q)*(-20*q + 6*q + 7*q)*(-q + 2*q + 0*q) to k*q**2 + z*q**3 + w*q + v and give z.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110 (base 2) in base 13?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3954 divided by -158?\nAnswer: -1977\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 38*y**2 + 114*y + 74. List the prime factors of z(41).\nAnswer: 9791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w - 20 + 20 = 0. Which is smaller: 7\/152 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -20*i**3 + i**2 + 45*i - 5. Let d(q) = -9*q**3 + q**2 + 21*q - 2. Determine -5*d(k) + 2*n(k).\nAnswer: 5*k**3 - 3*k**2 - 15*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (188\/4042)\/(15\/5160)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1724 = 339*f - 128*f - 3551 for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 3:35 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -50, 3 in descending order.\nAnswer: 3, -1, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q - 2*q + q - q**3 - 2 + 2*q**3 as t*q**2 + h + o*q + n*q**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 778 - -52. List the prime factors of v.\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 less than 2.1?\nAnswer: -82.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 72\/3722387 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6712 times 1.8?\nAnswer: 12081.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 9:43 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w**3 - 5*w**2 + w - 6. Let i(j) = 3*j**3 - 4*j**2 + 2*j - 5. Let u(z) = 2*h(z) - 3*i(z). Determine u(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l, -t - 2*l = -3*t + 8. Suppose -f + t - 2 = 0. Suppose 31*y - 46*y - 30 = 0. Sort f, -5, y in decreasing order.\nAnswer: f, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2611)\/(-36) - (-176)\/(-396). Let l = -289\/4 + t. What is the closest to -2 in l, 2\/15, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4178*i + 8417*i = 4152*i + 3741 for i.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 18\/5 of a centimeter?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 294*z - 4929. Let x = 326 - 210. What is the remainder when x is divided by t(-18)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 + 1 - (66\/(-6) + -604) and 618?\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ledm when four letters picked without replacement from {l: 11, e: 3, b: 1, x: 1, m: 1, d: 3}.\nAnswer: 11\/12920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22043559*a**2 - 4*a + 243056 wrt a?\nAnswer: 44087118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 5*s - 9 - 5, -3*s + 6 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 17 = -4*q + 105, q + d - 31 = 0. Is q a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2 - 2*x + 2. Let b be o(4). Let d = b + 3. Suppose 3*f = 2*s - d, -2*s = -7*s + 4*f + 83. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2316 is divided by 142.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -109\/35 - -17\/5. Let t = 34101\/13 - 2623. Which is the second biggest value? (a) t (b) f (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 2:23 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 263, 500, 767, 1070, 1415, 1808, 2255, 2762?\n\"Answer: q**3 + 9*q**2 + 203*q + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 615 divided by 15.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**2 - 6*c**2 - 10*c**2 + (3*c - 12*c + 6*c)*(-3 + 3*c + 3) - 2*c**2 + 0*c**2 + 0*c**2.\nAnswer: -23*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -20\/86151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/36*2 + -29*(-24)\/6264?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v + 3. Let i be s(3). What is the least common multiple of 8 and 1*(17 - -3) - i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 4*y + 5. Which is bigger: y or -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -2 (b) -0.02 (c) 1 (d) 3.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.8 - 1.1. Let g = h - 2. What is the nearest to g in 4\/5, 3\/7, 0.5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 6*p + 3. Let m be b(-3). Solve 0 = n + 3, -5*n = r + m for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 330*-1.\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 26378951 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45\/31 + -461\/403. Which is the nearest to 2? (a) 0 (b) p (c) 2\/19 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -42. Let f be w*22\/4 + 1 + 0. Suppose f = 3*d + 2*t - 34, -5*t = -3*d + 185. Does 20 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 24 = -2*t. Let o(k) = 2*k + 7. Let i be o(-6). Let y = i + t. Solve -4*c = -y*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-4) + (-330)\/(-1256). Let t = -173\/1256 + w. Which is the second smallest value? (a) 1 (b) 1\/5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2822166952 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 595 and -23634007?\nAnswer: 23634602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100201201210 (base 3) in base 6?\nAnswer: -23255033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 7*l - 3*l + 3*f, -7 = -4*l - 5*f for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9987 is divided by 111?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81\/(-675)*55*25\/(-105).\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 321 = 6*s - 3117. 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 next in 18, 49, 122, 255, 466?\nAnswer: 773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -5*l**3 + 45*l**2 + 105*l + 55 = 0.\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1495 is divided by 35.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -4*k**3 + 2*k**2 - 9*k. Let l(p) = -9*p**3 + 5*p**2 - 19*p - 1. Give -5*d(x) + 2*l(x).\nAnswer: 2*x**3 + 7*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/315 and -76\/225.\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -0*a - 3*a + 3, a = -3. Let i(y) = -y**2 - 13*y - 11. Let k be i(n). Solve -x + 4 = -k for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -153596, -153707, -153816, -153923?\n\"Answer: x**2 - 114*x - 153483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14.7 and 2.39?\nAnswer: -35.133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 39, 3, 136, -5.\nAnswer: -5, 3, 4, 39, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -132, -225, -346?\nAnswer: -495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6322 is divided by 93?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2376763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.22 take away -230914?\nAnswer: 230889.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -657, -680, -701, -720?\n\"Answer: h**2 - 26*h - 632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*j = 100*j + 4. Let s(w) be the second derivative of -1\/2*w**j + 0 + 12*w + 1\/2*w**3 + 1\/6*w**4. Give s(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3*w = c - 4179, c = w + 837. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 0*g = -3*k + 3, 12 = 3*g for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**3 + 0*l**3 - l**3 + (-2*l - 5*l + 2*l)*(-9*l - 6*l**2 + 9*l) + l**3 + 2*l**3 - 5*l**3 to the form n*l**2 + o + d*l + w*l**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -136278 (base 10) in base 3?\nAnswer: -20220221100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and -20443241839.\nAnswer: -20443241842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aqa when three letters picked without replacement from {a: 4, d: 2, f: 1, q: 2, u: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -131 - 9675?\nAnswer: -9806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 16*t + 2098. Let x be w(-131). Factor -2\/17*u**x - 12\/17 - 14\/17*u.\nAnswer: -2*(u + 1)*(u + 6)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5139291?\nAnswer: 3, 19, 90163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14585 is divided by 78?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*l**2*x**3 - 2032014*l**2 - 2863*l*x**3 - 65*x**3 + 7*x**2 wrt x.\nAnswer: -18*l**2 - 17178*l - 390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 445733021.46083373 - 445733017. Let k = -55.23913517 - w. Let v = -59.7 - k. What is v rounded to 6 dps?\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z - 3*v + 2, 6*z + 2*v + 10 - 3 = 9 + 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2214334?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1005 = -18*x - 62*x - 105 - 2490 for x.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/4 + (10\/6)\/(2925\/(-63180)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -52*l**3 - 16*l**2 - 16*l + 16. Let g(q) = -17*q**3 - 5*q**2 - 5*q + 5. Suppose -483*k - 64 = -479*k. What is k*g(t) + 5*r(t)?\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l**3 + 2030 - 2030.\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = -q. Let n(k) = -k**2 + 7*k - 11. Let b be n(8). Let j = b + 21. Sort q, 0, j in ascending order.\nAnswer: 0, j, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 260*m**3 - 20*m**2 + 21*m - 3. What is the remainder when x(1) is divided by 82?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2778603 and 2778598 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 28 - (0 + -5 - -3). Suppose -2*b = 3*y - 93, 2*y + 226 = 5*b + 3*y. Calculate the highest common divisor of c and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - (1 + 8\/6). Let j = 2280 + -2283. Let o = -4.9 - 0.1. What is the closest to j in o, q, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37379*c**3 + 37379*c**3 + 2*c**4 + 390*c**2)*(-5 + 0 + 2)*(-3*c + 2*c - c) + 2*c**5 + 2 + 4*c**5 - 5*c**5.\nAnswer: 13*c**5 + 2340*c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o*o**(-1\/6)\/o)*(o\/((o**(-5)*o*o)\/o))\/o*(o**(-1\/4))**(-42) assuming o is positive.\nAnswer: o**(47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**4 - 3*z**4 + z**4)*(-563 + 815 + 927 + 344).\nAnswer: -1523*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1500 a factor of 25329000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1\/7, 4\/5, -5, -3\/5, -11\/2197, -39?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 146.9350095 to the nearest integer.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -27*z**4\/4 + 17*z**2\/2 + 3. What is the second derivative of i(w) wrt w?\nAnswer: -162*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-134 - 31 + 110 - 287)*(t + t + t).\nAnswer: -1026*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4643899?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229*l**3 - 712*l**3 + 245*l**3 + 244*l**3.\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -92 + 97. Which is the third smallest value? (a) 2\/19 (b) -3 (c) 0.5 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 3*z - 8. Let g be c(6). Let h = -20 - g. Suppose k + 5 = h. What is the smallest value in 2\/3, -0.3, k?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -387*x + 374*x - 7748 = 0. Let l = 625 + x. What is the highest common factor of 377 and l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5\/6902 + -36283839\/34510. Let w = -1055 - b. Calculate the common denominator of 10\/3 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6858915.\nAnswer: 3, 5, 7, 65323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)*-1 - sqrt(6))\/(sqrt(2) - (sqrt(128) + sqrt(128) + sqrt(128)*-1 + sqrt(2))))**2.\nAnswer: 75\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 435214.1cm to micrometers.\nAnswer: 4352141000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1 + 3*q**2 - 7*q**2 - 4*q**2 - 29*q - 30*q**2 wrt q?\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 598*b**4 + 20*b**3 + 1042*b**2 - 2*b - 3 wrt b.\nAnswer: 14352*b + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18*-1*(-41 + 35). Let f(r) = -5*r - 3. Let a be f(-6). What is the greatest common divisor of n and a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 110251537\/10494536 + -22874\/2147. Let m = 11\/104 + x. Is -0.3 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 159, -4, -2 in decreasing order.\nAnswer: 159, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -6*j + m + 50, 0 = m. Let y be j\/25*5*-1. Let o be 2\/(-3 - (y - 0)). Which is the biggest value? (a) 5\/3 (b) o (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 199608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1)*(a*a**(-2\/13)\/a)\/a*((a\/a**(-3\/4))\/a)\/a*a*a*((a**(5\/3)*a)\/a)\/a assuming a is positive.\nAnswer: a**(41\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 130 and 10433910.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (157790*r**3 - 78927*r**3 + 45 + 2*r - 78890*r**3)*(-3 - 2 + 4).\nAnswer: 27*r**3 - 2*r - 45","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 3 - ((4 - 27 - -14) + -5) - 5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2627 greater than or equal to 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z\/z**(-5))\/z)\/(z\/z**(-2\/13)))**(-10\/13) assuming z is positive.\nAnswer: z**(-630\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hw when two letters picked without replacement from {w: 2, h: 1, p: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 2*t - 48, 39 = 3*t + 2*u - 13. Solve -t + 116 = -16*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2694 divided by 186?\nAnswer: 449\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -117 - -111. Let m(x) = x**3 + 8*x**2 + 12*x - 1. What is m(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - 5*i + 4. Let q be h(4). Which is the closest to 0.1? (a) q (b) -1\/3 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence daj when three letters picked without replacement from {d: 2, s: 1, j: 2, a: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5717308 to the power of 1\/2, to the nearest integer?\nAnswer: 2391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (13202\/92)\/41*((-32)\/(-14))\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/28607515 and -16\/85822545.\nAnswer: 85822545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r - 20. Let t be b(9). Calculate the highest common factor of 77 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 55863224 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1370*l**2 - 4752*l**2 + 1987*l**2 + 1372*l**2.\nAnswer: -23*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from rwrrwwruuw?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 3*q + 201. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.1 (b) 4 (c) -8 (d) -93\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 698372?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -a**3\/3 - a. Let l = 3 + -10. Let u(k) = k. Let o(n) = l*u(n) - 4*w(n). Let h(t) = -2*t**2. Determine o(h(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -238, -1345, -3188, -5767, -9082?\n\"Answer: -368*w**2 - 3*w + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 16852?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 38\/(-6) + (-8)\/(-6). Sort 5, -2\/3, l in ascending order.\nAnswer: l, -2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -101, -572.\nAnswer: -572, -101, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 25417829 to the power of 1\/3, to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -4*i - 4. Let y be p(-3). Suppose -10*z = -24*z. Solve 5*l - 17 - y = z for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 1408.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (14\/3)\/(-7)*-6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -24*r**2. Suppose 7*m - 78 = 4*m. Let l(c) = 49*c - m*c - 21*c. Give i(l(t)).\nAnswer: -96*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 75 - 183. Let v = -45 - m. What are the prime factors of ((-6)\/(-9))\/(6\/v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.03041 (b) 3\/8 (c) -0.2 (d) 7\/5 (e) -25 (f) 4 (g) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6 - (-160)\/(-24) - (-76)\/(-3). Let g = -15 - r. Solve -g*y - 4 = -7*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(88)*3*-5)\/sqrt(8) + -3)**2.\nAnswer: 90*sqrt(11) + 2489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -892935.7 rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 183505 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 12 = 3*h. Suppose -3*q - 2*q - 2*p + 20 = 0, -h*p = -4*q - 12. Let k = 0.41 + -0.01. Which is the nearest to 1? (a) q (b) -2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 70*x - 1084. Let z be a(24). Solve -70 = z*w - 34*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1777, -3678, -5579?\n\"Answer: -1901*j + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 61 + -23. What are the prime factors of u?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6930 a factor of 741598486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84235, 337272, 759097, 1349722, 2109159, 3037420, 4134517, 5400462?\nAnswer: 6835267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 5159*c - 5169*c = 12, -4*c - 8 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.07 + -4.07. What is the second biggest value in 2\/17, b, 3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 649 a factor of 26775793?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-8) + 7*91\/196. Let v(l) = -4*l + 1. Let z be v(-1). Let x(u) = b*u**3 - 4*u**3 + 4*u**2 + 4*u - 4*u - z. Determine x(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 381.66 + -382.66. Let j be ((-14)\/5)\/((-6)\/229). Let g = -107 + j. Is m less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8243 take away 179.532?\nAnswer: -8422.532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1200 and 579150?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4\/3 of a minute?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -273*x + 2*x**2 + 6*x**2 + 590 - 13*x**2 + 18*x - 30*x.\nAnswer: -5*(x - 2)*(x + 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzttkzttzzzzhzztzhtk. Give prob of sequence zk.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 97*g - 82. Let a be k(8). What is the hundreds digit of a + (30\/6 - (1 + 4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**3 + 5*z**2 - 13*z + 303. Let j(m) = m**3 + 4*m**2 - 14*m + 303. Let c(p) = 4*a(p) - 5*j(p). Differentiate c(n) with respect to n.\nAnswer: 9*n**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k**2. Let j(z) = 4463*z. What is j(l(x))?\nAnswer: 17852*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -4*v - 4*c + 47, 5*v - 5*c - 20 = 0. Calculate the remainder when v is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - p - 3)*(p**2 - p**2 - p**2) + (-2*p**2 + 7*p**2 - 2*p**2)*(4*p - 2*p + 3*p).\nAnswer: 16*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3608 = 227*o - 24 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 5 = 0, b - 4*b + 10*u = 35 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 9) to base 10\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 37*d**2 - 290*d + 48. Let y = -25 + 38. Calculate the remainder when y is divided by u(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n - 7. Calculate p(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 0 - 1)*(0*g + 0*g - 7*g + (2*g - g + 0*g)*(1 + 1 + 0))*(2 - 2 + 1) to the form s*g + h and give s.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12082967 - 5654832947\/468. Let z = m + -82\/117. Calculate the common denominator of -131\/36 and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**16*q**(2\/21)*(q\/(q**(-11\/3)\/q))\/(q*(q**(-22)\/q)\/q*q) assuming q is positive.\nAnswer: q**(919\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/49)\/((-1395)\/1085)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 460 + -388. Find the third derivative of -k*o**3 + 177*o**2 + 75*o + 75*o - 150*o + 270*o**3 wrt o.\nAnswer: 1188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6251470 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3569034*f**2 + 4798355*f wrt f?\nAnswer: -7138068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24.785 + 0.215. Let p = -60.0520624 + 35.052036. Let f = p + c. What is f rounded to 6 dps?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03564178071 rounded to three decimal places?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44756 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -2238329.\nAnswer: 11\/2238329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -1, 0 in increasing order.\nAnswer: -13, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 x, and 2 j when four letters picked without replacement from lxvxqjjc.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10 - (-17 - -9)*(-1)\/(-2). Calculate the highest common divisor of s and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60976*l**4 + 60976*l**4 + 3*l**3 + 175*l + 3 + l**2 - 121950*l**4 to b*l**3 + n + z*l**4 + q*l + u*l**2 and give q.\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17950 minus -3761803560?\nAnswer: 3761821510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 171, 1147, 3793, 8943, 17431, 30091, 47757?\n\"Answer: 139*f**3 + f**2 + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0035950752 to six decimal places.\nAnswer: -0.003595","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5189*z + 5180*z + 4743. Calculate the remainder when z is divided by 136.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6 + -12)\/(-6) - (1 - 0). Solve -30 = -5*o + 5*f, -j*o + 7*f + 8 = 9*f for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -4. Let i(y) = y - 2. Let p be i(8). Let u be (2 - 5)\/(p\/(-10)). Is u at most as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7866, 7869, 7874, 7881, 7890, 7901, 7914?\nAnswer: 7929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -117 by 773631.\nAnswer: -13\/85959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 36*x - 2511. Does x = 76?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -448*f - 2. Let d(w) = w**2. Determine t(d(v)).\nAnswer: -448*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 10*b + 5*b - 7196 = 0, -2*b - 7184 = -4*f. Let o = f + -1104. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**2 - d. Let n(w) = -5*w**2 - 292*w + 294. Let t(y) = -b(y) + n(y). Let t(z) = 0. What is z?\nAnswer: -98, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2538524 to the nearest integer?\nAnswer: 1593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1041 - -1031.73. Let o = t + 0.27. Let g = 0 + 1. Which is the nearest to g? (a) -2 (b) -3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-9) - 46\/(-126). Let s be ((-153)\/(-135))\/(1\/(-3)) + 3. What is the nearest to 0.2 in s, b, 0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 1 = 5, -4*o = -3*g - 753. Is (-1 - -3) + (o - 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1234*m = 43952 + 15125 + 49840 - 10197 for m.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + c - 98 = -4*c, 4*v + c = 160. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6220 divided by 1555\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -853 - -1262. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 82 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 14*f**3 - 91*f**2 + 36*f + 34. Give j(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 8532.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v + 625. Let j(i) = 1752*i. Determine t(j(h)).\nAnswer: 5256*h + 625","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 x when two letters picked without replacement from nxssxsxnnssnsnxsxsxx?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/7 in 2\/21, 0.5, -0.5, 4692, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + a + 3, 5*a + 8 = 3. Let j(o) = o**3 + o**2 - o + 3. Let m(g) = -g**2 + g + 1. What is s*m(x) - j(x)?\nAnswer: -x**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -10. Let u be (43\/4 - -1) + (-3)\/(-12). Calculate the greatest common divisor of u and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -8*h**2 - 1. Let p(x) = 15*x**2 + 2. Let u be (-1)\/(-2)*(-5 + 17). Let z = -14 - -25. Determine u*p(n) + z*k(n).\nAnswer: 2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/541 and 61\/67084?\nAnswer: 67084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1277*h**3 + 983292*h**2 + 1540*h.\nAnswer: h*(h + 770)*(1277*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 55224601 to the power of 1\/3, to the nearest integer?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5369 or -1711?\nAnswer: -1711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 2. Suppose -3*m + 3*x + 15 = -3, 3*x + 28 = 5*m. Suppose -3*z - m*j + 5 = 0, -z + 3 = 2*j - 0*j. What is the second biggest value in z, o, 0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1202200 (base 4) to base 15\nAnswer: 1d04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 > 16\/32921?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132, 263, 396, 531, 668, 807, 948?\nAnswer: 1091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (507\/(-26))\/(2\/(-1256)). Suppose 0 = -12*c + 38*c - d. What are the prime factors of c?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 527811 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.131 + 0.055628627\nAnswer: 0.186628627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 75*k = 80*k - 75, k - 31 = -3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*4*(sqrt(7) + (-3 + sqrt(343) - sqrt(7))**2 + sqrt(7))*5.\nAnswer: -31320 + 4080*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3\/2 (b) -1\/6 (c) -2 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.600538 weeks to nanoseconds.\nAnswer: 3992005382400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.86615 years to decades.\nAnswer: 0.086615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zp when two letters picked without replacement from ppffz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5382, -10802, -16224, -21648?\nAnswer: -27074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 644 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.029 - 20.029. Let d = 22.6 + k. Round d to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = h + 2*k + 38, -4*h - 29 = -k. Is 10 a factor of (-39226)\/(-99) + h\/36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*d = 226*d - 93*d + 1357 for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 3*s - 3*o - 11 = 0, 2*s + 62 = -20*o for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -282 - -477. Let s = v + -29. Suppose 0 = r - 3*r + s. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7534535?\nAnswer: 5, 1506907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4198 - -4197. Let r be (5 + -2)*(-2)\/3. Sort -27, -4, y, r in descending order.\nAnswer: y, r, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -43*g + 22. Let r(j) = -9*j + 5. Let z(y) = -2*a(y) + 9*r(y). Let t(x) = 14*x + 4. Determine -4*t(f) + 11*z(f).\nAnswer: -f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 65*u**2 - 6*u + 3. Let c = 23 - 14. Let g be o(c). Does 17 divide g\/77 + 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**2 - 2*d**2 - 5*d**2 + (3*d + 2*d - 6*d)*(-2 + 2 + 3*d) + 4*d**2 - 6*d**2 + 6*d**2.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 5*i**2 - 10635*i + 74200 = 0.\nAnswer: 7, 2120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/5)*l**(3\/8))**(-2\/113)*((l**1)**(-7))**28 assuming l is positive.\nAnswer: l**(-442959\/2260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -6*(4 + 1*sqrt(832) - sqrt(832)) + 5)**2.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0)**(-2\/113)*((f*f**(-5\/2))\/f)\/f**(4\/7) assuming f is positive.\nAnswer: f**(-43\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 11:29 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 60582890*z + 8769211 wrt z?\nAnswer: 60582890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 5*c + 15, -2*c - 2 = -2*k + 4. Suppose 5*n - 85 = u, 2*n - 6*n - 3*u + 87 = k. Calculate the lowest common multiple of 20 and n.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 68 + -56. What is the third derivative of -1094*z**2 - i*z**4 + 65*z**4 + 1 + 1081*z**2 wrt z?\nAnswer: 1272*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 35*3\/6*2*-1. Let g = o + 41. Suppose w - 8 + 4 = 0. Solve -2*q - 2*j = -g, -4*q + w*j + j = -30 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55969037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1965 is divided by 59.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235401068?\nAnswer: 2, 7, 71, 118411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -11882 not equal to -33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 880688*w - 440343*w - 440347*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-18))\/(24\/72).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -540*a + 1008*a = 503*a - 1995 for a.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/3258112 and 34\/979.\nAnswer: 3258112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 30*o - 25. Let l be z(1). Put l, -10, 2 in ascending order.\nAnswer: -10, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6902754 divided by -6\nAnswer: 1150459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 276*g - 278*g - 4 = 0, 2*g = 2*n - 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.1952 * 0.3\nAnswer: 0.05856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -164188 * -0.06\nAnswer: 9851.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 15.27 + -1.3\nAnswer: 13.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -a072a?\nAnswer: a072d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(11) + sqrt(11)*1 + -1)*-4.\nAnswer: -8*sqrt(11) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 907589 (base 12) to base 6\nAnswer: 120135453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*n = 45*n + 5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u + 8. Let v be m(-2). Suppose p = 5*x - 13, 4*x + 4*p - 3 + 7 = 0. Calculate the greatest common factor of v and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (16\/(-30) + (-4 - 5)\/(-45))*-16953?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 766 (base 14) in base 5?\nAnswer: 21322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 5*s + 62. Let k be ((6 - 2) + -2 - 2)\/(-1). Let d be j(k). Is 18\/(-12) - (d\/(-4) - 1) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*t - 4*t. Suppose 2*g + t*g + 4*v + 178 = 0, 0 = -5*g - 2*v - 184. Find the common denominator of g\/16*(-4)\/(-3) and -77\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(4\/3))**(-31) assuming q is positive.\nAnswer: q**(-124\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302 is divided by 153?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 86 + 9*y + 9\/2*y**2 - 22*y**3. Find the second derivative of j(d) wrt d.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1317210 a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**2 - 2 + 0*k**2 + 2 + 2*k**4 - 1 to q*k**2 + n + z*k**4 + h*k**3 + t*k and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 d, and 2 h when four letters picked without replacement from {d: 4, h: 8, o: 1, b: 1, i: 2}?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-76)\/2185*160\/(-192).\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 246 = p, 5*t = -2*p + 609 - 116. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/40 of a millennium?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 21 = -179. Let d = -28 + k. Solve -2*n - 18 = -5*f, d = 3*f - 3*n - 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 660576649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19*g**2*i**2 - 12978*g**2 + 2*g + 223182*i**3 - 53 wrt i.\nAnswer: 38*g**2*i + 669546*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3 + 524224*j**2 + 28303722*j + 382080564.\nAnswer: 2*(j + 27)**2*(j + 262058)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 50483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -23*u**4 - 15*u**3 - 6*u - 26*u**3 + 2*u**3 + 39*u**2 - 44*u**4 - 17*u**4 = 0?\nAnswer: -1, 0, 1\/4, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4*d + 14545508 = 0, d = 3*d - 6. Let z = x - -1636374. What is z rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 688.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 4. Suppose -9 = -2*g - 3*l, 0*g = h*g - 3*l + 9. Solve -3*k = -g*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13106257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 31 = -4*c, 2*s + s - 11 = -c. Solve -6*n**2 + 5*n**4 - 3*n**s - 3*n + 6*n**5 - 2*n**4 + 3*n**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37482 by -6247.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.3 + 2.3. Which is the nearest to 1? (a) -9 (b) t (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4*a**3 - 10*a**2 + 10*a + 10. Let u(i) = i**3 + 3*i**2 - 3*i - 3. Let v be 2\/(-1)*(-100)\/(-10). What is v*u(f) - 6*p(f)?\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, -0.0604, -2\/9, 2\/9, -2.76?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 202 = -2*n, -p - 12*n + 199 = -13*n. What is the remainder when p is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-54)\/(-10))\/9 + 0. Let p be (-8)\/66*3\/2. Which is the closest to p? (a) 1\/8 (b) w (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 629770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nbbi when four letters picked without replacement from {b: 7, n: 2, i: 2}.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (95\/(-10))\/(2\/(-8)). Suppose 2*k - 22 = -2*m + 3*m, 3*k - 4*m = j. What is the least common multiple of 8 and k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 118.8 - 112. Let u = -4.8 + w. Let s be (-88)\/234 + (-10)\/(-45). Sort u, -4, s in ascending order.\nAnswer: -4, s, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1939*b + 14 = -1946*b. What is the nearest to -5 in b, 0.4, -2\/7, 9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 10, -2*o + 7*o + 205 = 5*z. Suppose -d = 3*r - 4*d, -2*r + 12 = 4*d. Suppose r*c - z = -c. Is 6 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*r - 1)*(11*r + 0*r**2 - 14*r - r**2).\nAnswer: 3*r**3 + 9*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 322*h + 17604. What is c(-56)?\nAnswer: -428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = o - 20, 3*o + o = 4*m - 48. Let x = 18 + -13. Suppose -r + x*r = 184. What is the remainder when r is divided by m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*w = -85*w - 54. Let h be ((-3)\/w)\/(4\/(-16)). Solve -2*z = h*r - z - 5, -2*r + 3*z + 25 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13211 (base 6) to base 15\nAnswer: 8ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3*1\/((-3)\/(-1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5788058 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2064 and 4257.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 9:17 PM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -192 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-1)*(-7)\/(-98))\/(-3).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1143156345 + 0.06.\nAnswer: -1143156344.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -450918 or -450920?\nAnswer: -450920","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 1081 = -331. Calculate the highest common factor of q and 300.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ncz when three letters picked without replacement from yizcn?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -214, -488, -870?\nAnswer: -1360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.733 + 0.063. What is the biggest value in -1, 2\/11, q?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = q - 0. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 0.12, 8, 0.5 in decreasing order.\nAnswer: 8, 1, 0.5, 0.12, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 6) to base 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(7 - 0)*3. Suppose -2*p - g = -5*p. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 983560?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -c**8\/20160 - c**7\/560 - c**6\/144 - c**5\/60 + c**2. Let f(x) be the third derivative of y(x). Is f(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 9, v: 9}. What is prob of sequence vvv?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (26354*25\/(-1))\/(2\/(-4)). Round l to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b + 12. Let o be t(-7). Let y(x) = x**2 - 27*x + 157. Let k be y(9). Sort k, o, 0, 0.5.\nAnswer: k, 0, 0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 divided by 1483\nAnswer: 34\/1483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 32*l**2 - 1366. What are the prime factors of s(-19)?\nAnswer: 2, 11, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**3 + 71*y**2 - 126*y - 611. What is g(-37)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31235892.\nAnswer: 2, 3, 193, 13487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -703.2732 to one decimal place.\nAnswer: -703.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3003 - 1675. Suppose 5*g = 2*n + c, 3*n = 5*g + 66 - 1398. Is g a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 less than 735.58?\nAnswer: 734.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-15)*r*r)\/(r*r\/((r**(-2\/49)\/r)\/r)))**(-39) assuming r is positive.\nAnswer: r**(32565\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*t + 88*t - 9*t)*(2 - 6 + 3) + (-t + 1 - 1)*(-5 + 3 + 3) + 2*t + 0*t + t.\nAnswer: -91*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(14\/(-40) - 6\/(-8)). What is the third derivative of 24*u - 26*u**o + 5*u**5 - 25*u**2 - 24*u wrt u?\nAnswer: -1260*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 10 - 15 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 254.92503 + 6\nAnswer: 260.92503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + f - 10 = -2*a, 5*f - 20 = 0. Suppose -a*q - q = -63. Solve -3*s + q = 24 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -3.8?\nAnswer: -15.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 5*x - 0*x - 9, 4*f + 13 = -5*x. Is ((-267)\/f)\/((-4)\/(-8)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -27*k - 2. Let j(n) = -1809*n - 135. What is -135*f(m) + 2*j(m)?\nAnswer: 27*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - 4*f + 5. Let w be c(-5). Let r be (2 + w - -43) + -3. Suppose 2*h = 5*h - r. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 665.5, -0.1, -4.\nAnswer: -4, -0.1, 0, 665.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d + 12. Calculate the remainder when ((-3)\/1)\/((-30)\/90) is divided by a(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of k**6\/5 + k**4\/3 - k. What is the third derivative of s(h) wrt h?\nAnswer: 144*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*x**3 - 8*x**3 + 6*x**3 + (-2*x**2 + 4*x**2 - x**2)*(2*x + 4*x - 4*x).\nAnswer: -10*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(7\/7))\/(10\/(-6))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.04 - -0.04. Let b = d + 3. Let v = 3.0007 - b. What is v rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -10 (b) 0.02 (c) 1074 (d) -3 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*p + p + 4*p)*(4 - 5 + 0) + 5*p - 5*p - 37*p)*(7 - 5 + 8).\nAnswer: -390*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/32725 and -52\/4235?\nAnswer: 359975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 653 - 650. What is the smallest value in 147, -5, c?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 353900975 is divided by 264?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.05, 5.7, 1, 0.4, 1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 197596022?\nAnswer: 197596018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11885?\nAnswer: 5, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203336*g + 203341*g + 54 = -3*b, -3*b = -8*g - 63 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -4.04. Let g = -4.04 + q. Let o = g + 4.1. Which is the smallest value? (a) 2 (b) 0 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-14) - 272\/(-56). Let o = 3 - r. Let c be 3 + (3 + -2)*o. Sort 2, c, 5 in ascending order.\nAnswer: c, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/9)\/((-3)\/2). Let p = 1205\/3 + -402. Which is the closest to q? (a) 0.2 (b) -0.5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61008130 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1492*x + 105*x**3 - 18*x**3 - 1492*x.\nAnswer: 87*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 53.7598 and -0.99.\nAnswer: -53.222202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00516654 to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 849*m**2*t**4 + 332*m**2*t**2 - 2*t**6 wrt t.\nAnswer: 20376*m**2*t - 240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1445)\/6545 - (((-60)\/(-7))\/4 + -2).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 1092?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 43 = -2. Let l = 368\/9 + d. Let c(h) = h**2 + h - 1. Let f be c(-2). Which is greater: f or l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8710)\/536)\/((-35)\/(-84)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-1)*1\/(-3). Let d = 3.2 + -3. Which is the nearest to -1\/15? (a) -3\/4 (b) f (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*l + 79*l + 13*l.\nAnswer: 13*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1796138 is divided by 2074.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -13 + -6 + 11 + (-6 - -22).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -4*z. Let l(m) be the second derivative of 1\/12*m**4 + 0 - 5\/2*m**2 + 0*m**3 - 4*m. Give l(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 22?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 518 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 233*b**2*h**2 - 87*b**2*h wrt h.\nAnswer: 466*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2502 (base 8) to base 11.\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8405 - -8494. What is the least common multiple of 43 and v?\nAnswer: 3827","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 6:59 PM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20367 to the power of 1\/2, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 3*d**2 - 2*d - 3. Let t be q(-3). Suppose -t*i + 2*p = -8, 4*i + 4*p - 6*p = 10. Factor 14\/9*h**3 + 22\/9*h + 32\/9*h**i + 4\/9.\nAnswer: 2*(h + 1)**2*(7*h + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 4d4?\nAnswer: 4d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 53131 to the power of 1\/2, to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -15.86, -36486, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/38378655 and -67\/39420.\nAnswer: 460543860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2075, 3841, 5261, 6329, 7039, 7385?\nAnswer: 7361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.18 and 5.09.\nAnswer: 4.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -16*z + 10*z + 11*z + z**2. Let s(c) = 2*c. What is i(s(a))?\nAnswer: 4*a**2 + 10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25657?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 + 11 = -8*v. Suppose 3*r - r = -v*r. Which is smaller: -2\/25 or r?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 times -8811721\nAnswer: 264351.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 y when three letters picked without replacement from {y: 2, e: 1, l: 2, u: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -216 and -4625264?\nAnswer: 4625048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -4. Solve -m*b = -7*b - 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - 76. Let r = 65 + o. Let p be (12 + r)*(0 + 1). Solve 3*y = -2*v + p, -4*y + 2*y + 16 = 2*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -603 = 120*b - 117*b. Let i = b + 201. Which is bigger: -8.2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 2\/3, 73?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-3)*5\/(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32932*f - 32905*f + 891 for f.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*o - 6 = 16, 5*o + 18 = -3*u. Suppose 4*s = 8*s. Solve -5*n - 21 - u = s for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 25*d + 532. Let x be n(-21). What is the closest to -0.1 in -0.01, 0.5, 4, x?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 8*b - 10. Let r be v(-6). Let x be (-1)\/(-4)*-1874*r. Let h = -84937 - x. Round h to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40237*d**2 + 20157*d**2 + 698*d**6 + 20119*d**2 wrt d.\nAnswer: 83760*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -85*o**3 + 71 - 71 + (4*o - o**2 - 4*o)*(-3 + 3 + 2*o) to the form f*o**2 + g*o**3 + k + s*o and give g.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -u - 0*u. Let p = 32 + u. What is the greatest common divisor of p and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**3 + 7*c**2 + 10*c - 30. What is g(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -17\/586405?\nAnswer: -17\/586405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of p**4\/4 + 3*p**2\/2 - p. Differentiate c(b) with respect to b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 38\/272035?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**3\/4 - 417*t**2\/4 - 57963*t\/4 - 2685619\/4 = 0. What is t?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**2 + 112*y + 4. Let i be p(56). Let l(w) be the second derivative of 0 - 1\/2*w**i + 0*w**3 + 3\/20*w**5 + 0*w**2 + 14*w. Factor l(r).\nAnswer: 3*r**2*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 18*l**2 + 23*l - 54. Let d be s(17). Suppose 76 = -d*r + 268. Solve -t = 5*p + r*t, -p + 2*t = 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -384624 divided by -16026?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62163367?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 + 4.4. Let h = u + -42. Round h to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 t when three letters picked without replacement from tutu?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**2 - 12*x - 13. Let l be g(10). Let u = l + 21. Let d be 10 + -1*(-3 + 2). What is the greatest common divisor of d and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89736 divided by 3739.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/518144 and 1\/12953600.\nAnswer: 12953600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, r: 11}. Give prob of sequence rnrr.\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 5*g**2 - g + 5. What is s(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 1:24 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -43510, -87020, -130530, -174040?\n\"Answer: -43510*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -57 + 60. Suppose -20 = -f - 3*b, -3*b + 42 - 6 = x*f. Let i be (28\/6 + -1)\/(f\/48). What is the greatest common factor of 154 and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9068 - 52732 = -2060*b for b.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -59*m - 24. What is the hundreds digit of b(-19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 20*b + 1422. Let z be t(-71). Solve 0 = -z*w - 10, -5*f + 2*w + 18 = -2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -157197 (base 10) to base 14.\nAnswer: -41405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 2*o + 0*o)*(187 - 86 - 147)*(-1 + 1 + 1) + (0 + 1 - 2)*(-o + 3*o - o).\nAnswer: -139*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -2\/4247, 5\/814, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -5*b**3 - b**2 - 3*b - 3. Let i be l(-1). Suppose -i*s + 896 = 5*h - 348, 5*s + 272 = h. List the prime factors of h.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.5 (b) -273 (c) -0.33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 4 (b) 9 (c) -2\/5 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*z + 426*z - 15014526 = -3982985. What is the ten thousands digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27b914 (base 15) in base 9?\nAnswer: -3534151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 12782*j**2 - 2 + 7 - 8 - 13695*j**2 as g*j**2 + u*j + f and give g.\nAnswer: -913","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -26a78 - 70?\nAnswer: -26b08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63 - -40. Let w = 311344285.0000106 + -311344388. Let g = w + z. What is g rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -766, -1593, -2420?\n\"Answer: -827*c + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 6) in base 8?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 23194*h**2 - 55*h + 1. Is g(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 423 = 117. Suppose -1052 = -75*k + 73. What is the greatest common factor of n and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52977?\nAnswer: 3, 17659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-15) - 740\/(-6). Suppose 147 = 3*p + 2*u + 43, -a = -3*p + 2*u. Calculate the smallest common multiple of p and 16.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 304029697?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 1 - 1)*(0*z + z - 2*z)*(9 + 10 - 4).\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 - 24 - b)*(3 - 3 - 1)*(2 - 1 - 3)*(-3 - 5 + 4).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 9158730\nAnswer: 2\/4579365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 + -29. Suppose q = 3*q + 2. Sort d, 1, q in descending order.\nAnswer: d, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5*d + 1715 = 9555, 5*d - 23660 = -3*t. What is the greatest common divisor of 63 and t?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, 8\/13, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1316655 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: Simplify (l**6*l*l\/(l\/(l*(l\/l**(-9))\/l)*l)*l*l\/(l*l\/l**15)*l**(3\/11))**(-23) assuming l is positive.\nAnswer: l**(-7912\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 19661210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8.45 - 6.45. Let f = -58\/3 - -235\/12. What is the nearest to b in f, -1, -1\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 411 - 23?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-324)\/(-6669) - 2\/(-19) - (-88)\/18096*-21.\nAnswer: 3\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 45, 50, 53, 54, 53, 50, 45?\n\"Answer: -v**2 + 8*v + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = t - 34. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000310166 to six dps.\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 42.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 41\/2 of a century?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 7) in base 16?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wmu when three letters picked without replacement from wuwymmymwmywwmumeu.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - u - 2*u + 34 = 0, 0 = -5*c - 2*u + 107. Differentiate 17 - 35*s + c*s - 1 wrt s.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 3*p**2 - 3*p - 6. Let x be a(5). Let u = x - -5. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*1*3\/(-2)*8\/(-16).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -65, -114, -195, -308?\n\"Answer: -16*n**2 - n - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**3 + c**3 - 2*c**4 + 0 + 1 - 4*c**3 in the form q*c**4 + s + i*c**3 + o*c + x*c**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 660.7277km in millimeters?\nAnswer: 660727700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 224\/241?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l**4 + 30388*l**3 + 2420496*l**2 + 39277520*l + 181153600 = 0. Calculate l.\nAnswer: -59, -10, 7676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qj when two letters picked without replacement from qqqqqqqjqqqjqqqqqqq.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iikikkiit. What is prob of sequence kti?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 10 = 0, -2*t + 2 = a + 10 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*v + 2148, -3*c = -3*v - 4*c + 3230. Is 18 a factor of v\/27 + (-52)\/(-702)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31520552 - -4?\nAnswer: -31520544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(3520) + -5*2*sqrt(3520) - (-5*2*sqrt(3520) + sqrt(3520)))\/(2*sqrt(396) + 2*sqrt(44)\/sqrt(4)))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(110)\/((3*sqrt(120))\/sqrt(12) - sqrt(10)) + -3*sqrt(44)*5)**2.\nAnswer: 38307\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 6*p**2 - 4*p - 5. Determine l(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*p - 71*p = -230 for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 - 10001101111111?\nAnswer: -10001101110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9.446957 tonnes?\nAnswer: 9446957000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4*w**2 + w - 2. Let z be n(2). Let q be z\/88 + 32\/55. Which is smaller: 5 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*1*(-2)\/(-4). Let t = f - 1. Let l be 3 + -4 - (-2 - 0). Which is the second biggest value? (a) t (b) l (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2516338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 - -29. Solve x*p = 3*p - 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 7 = 4*o + 1, 2*o + 3*t - 7 = 0. What is the nearest to 0 in -1.6, -0.2, 0.5, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 38788, 154353, 346968, 616639, 963372, 1387173, 1888048, 2466003?\n\"Answer: z**3 + 38519*z**2 + z + 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -252 - -256. Let v be 6\/(-9)*b\/(24\/(-18)). Which is smaller: 21\/10 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(4\/(-8) - -2). Let b be o\/(-5)*(-40)\/(-16). Is 1 - (-236)\/(b - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -3*r + 6, -5*r = -0*r. Is (257\/m*-2)\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.534975 rounded to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z**3 - 3*z**2 - 9*z + 6. Let l be n(3). What is the greatest common divisor of l and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 18\/5 of a millimeter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(((-1)\/3)\/((-2)\/6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -4) + 0 - 0. Suppose t*a - 2 = 24. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 2:10 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2547*g - 2535*g. Which is the second biggest value? (a) 0.1 (b) g (c) -0.3 (d) 416\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9801?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = x - 6, 2*x + 3*l - 6 = 3*x. Suppose -33 = -5*p - 2*j, -x*j = -3*p - 2*j + 11. Solve -3*c + 5 = -p*g, 0 = -3*g - 2*c - 0*c - 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6951 (base 10) to base 6.\nAnswer: 52103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1064*z = -4446*z - 35731 - 96167 for z.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-126) - (-642)\/126. Suppose 28 - 53 = -s*h. Solve 0 = 5*z + h for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by -2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b + 2*b + 3*b + (3*b + 3*b - 7*b)*(-1 - 1 + 1) - 13 + 3*b - 21 + 3 + 9 to x + s*b and give x.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 733985073?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13188 and 21.\nAnswer: 13188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5473970341 - -5474005929.91981. Let t = -35604.92 + h. Let i = 16 + t. Round i to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156650060111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 35585*i. Let u(p) = 4*p**2. Determine s(u(v)).\nAnswer: 142340*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 147952532 and 156?\nAnswer: 443857596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -62\/161 + -1\/23. Let s(c) = c**3 - 11*c**2 - 13*c + 6. Let h be s(12). Let j be 8\/h*5\/30. What is the closest to 1\/2 in j, -1\/3, x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*o + 26*o + 13178 + 25*o - 13181 as p + n*o and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4020 by -10.\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -360, -578, -648, -570, -344, 30, 552?\n\"Answer: 74*p**2 - 440*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 + 286 = 5*m. Let o be ((-8)\/(-2))\/(-2 - (-76)\/m). Let z = 50 + o. Solve 5*d + z = -10 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a decade in years?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.703977 to 2 dps.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5436, 5398, 5330, 5220, 5056, 4826?\nAnswer: 4518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 41, -15, 20 in ascending order.\nAnswer: -15, -5, -2, 20, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of 2251*g**6\/60 - 527*g**5\/60 - 488*g**2 - 3. Find the third derivative of v(w) wrt w.\nAnswer: 27012","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1320661 and 33947?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 552278057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2694066335?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 289*l - 183*l - 186*l in the form c*l + k and give c.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/5, -1, 4, -3\/4, -131?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-4) + (-8)\/(-4). Suppose 0*y = o*y + 12. Suppose -m + 9 = 3*x - 6, -5*x + 32 = 4*m. Sort y, x, -1 in decreasing order.\nAnswer: x, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**5 - 67*o**4 - 250*o**3 - 328*o**2 - 184*o - 37 = 0. What is o?\nAnswer: -1, -1\/2, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 z when two letters picked without replacement from zzzzuuzzzz.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, l: 4, p: 2, f: 2}. What is prob of picking 1 m and 2 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 977*o + 4328. Give l(-4).\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/333019 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 946 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: Suppose 2*f + 4*h = 3*f - 13, -18 = -4*f - h. Suppose 0 = f*c - c. Let b(v) = -v**2 + 2*v**2 + 2*v + c*v**2 - 1. Determine b(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8815948t to nanograms.\nAnswer: 881594800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q - 34. Let o be w(-12). Let z(f) = f**3 + 8*f**2 + 4*f + 10. Let v be z(-8). Does v = o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/21472 and 53\/2684?\nAnswer: 21472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-82)\/(-22))\/(-1*(-120)\/(-20)) and -47\/1212.\nAnswer: 13332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence httr when four letters picked without replacement from rtccrcrtuhuhtu.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -581 + (-2 - -2) - (-10 + 10). Let q = 983 + p. Suppose 3*i = -6, -3*i - q = d - 4*d. Calculate the greatest common factor of 12 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s**3 - 27470*s**2 + 54925*s - 27460 = 0. What is s?\nAnswer: 1, 5492","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 - 3389704*o**2 + 718127435760*o + 1436268430368.\nAnswer: 4*(o - 423714)**2*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -54079.32 rounded to the nearest one hundred?\nAnswer: -54100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 594421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -1 + 0 + -1 + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 311*j**3\/3 - 7*j**2\/2 - 5*j - 53. Is u(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus 10155285965570?\nAnswer: 10155285965565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 6, -3175 in decreasing order.\nAnswer: 9, 6, -3175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*q**2)*(-2*q - 2*q + q)*(-6 + 6 + 16*q).\nAnswer: -96*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, -16, -44, -72?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4436508151?\nAnswer: 19, 107, 487, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-13) - (-184)\/13. Let h = -14 + m. Determine p, given that h - 4\/7*p**3 + 0*p + 4\/7*p**5 - 2\/7*p**4 + 2\/7*p**2 = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -17 - (-94 - -88) - -2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18646162*n + 4403661*n - 1831270*n - 4981247*n.\nAnswer: -21055018*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.08 (b) -0.1 (c) 0.06 (d) -1 (e) -0.656\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.78 - 171.78. Let d = u + 150. Which is the third biggest value? (a) d (b) -4\/3 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 86*t**4 + 24*t**2 - 32*t - 7?\nAnswer: 1032*t**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 88 = 10*q. What is the least common multiple of q and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1622 (b) -153 (c) 14\/57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j**3 - 359*j**2 - 938 with respect to j.\nAnswer: -6*j**2 - 718*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**2*p**3*r**2 + 3*c**2*p**2 - 601*c**2*r**2 + c*p**3 - 41*p*r wrt r?\nAnswer: 4*c**2*p**3 - 1202*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 1:30 AM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89, -247, -405, -563?\nAnswer: -721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + 6 + 23 - (6 + -2)) + 78?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/15 equal to -3206?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*h**7))\/h*h)\/(h\/h**(2\/3))*(h**(2\/5)\/h)**(4\/17))\/((h**1\/h)**49\/(h\/(h**(1\/4)*h)*h*h**(-3\/5)*h)) assuming h is positive.\nAnswer: h**(-6451\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/6*(-2)\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of f**4\/12 - f**3\/6 - 2*f**2 + f. Let l be i(3). Solve -1 - 9 = -l*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-20)\/(-3))\/10)\/(2\/4188)*41. What is h rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 3*h = 42, -5*h - 824 - 445 + 604 = -106*m + 718 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 - 42.987. Which is bigger: 0.1 or s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6857 + -242.\nAnswer: -7099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -2. Is (f + -18)*44\/(-16) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 194.\nAnswer: 7\/194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 - -18. Let i be 8 - 4*o\/(-2). Suppose t + 10 = i*t. Sort t, 3, -3.\nAnswer: -3, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/102 and 37\/141.\nAnswer: 4794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/36*-164 - -9. What is the closest to 2 in 3\/4, -6\/11, 2\/5, m?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -37 - -68. Suppose 1 - a = -5*j. Solve 3*m + 12 + 12 = 3*l, 3*l + 3*m - j = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4)*(-344)\/86?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**5\/3 - 268733*j**4\/3 + 18052340728*j**3\/3 + 90275409464*j**2 + 433343250096*j + 650029387536 = 0. Calculate j.\nAnswer: -6, -3, 134374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7279, -14569, -21859?\n\"Answer: -7290*w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3a1 (base 12) to base 14\nAnswer: -2b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34 + -33.94. Let i = -0.0600002 + x. What is i rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a + 1. Let i(f) = -f**3 + 2*f**2 + f - 1. Let l be i(2). Let t be n(l). Suppose 0 = t*w - 2*w. Solve w*k - 3 = -3*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 4*b**2. Let o be g(4). Suppose 0 = -3*f + 3*t - 24, 4*f + 3*t + 39 + o = 0. Put -5, f, -3, -4 in decreasing order.\nAnswer: -3, -4, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.047, 2\/11, -0.65, 1\/2?\nAnswer: -0.65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104612249.\nAnswer: 7, 43, 367, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1*sqrt(2835) - sqrt(2835)) + sqrt(2835)*1*2 + sqrt(2835))\/(2*sqrt(847)*-3 - sqrt(847) - sqrt(847) - -4*sqrt(847)*-1).\nAnswer: 15*sqrt(5)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -34 or -0.3391651?\nAnswer: -0.3391651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -8. Suppose 20*k = 15*k + 15. Factor -9*m - x*m - 7*m - 7 - 20 - k*m**2.\nAnswer: -3*(m + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.2 + 8. Let d = -95\/6 + 281\/18. Let l be 0 + (-3)\/12*-2. Which is the closest to y? (a) d (b) l (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**0)\/f)\/(f**(7\/5)\/f))\/(f*f**(-1\/7)*f*f*f**(-6))*(f**6*f**7\/f*f*f)**(-6\/13) assuming f is positive.\nAnswer: f**(-1692\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1752236 and 618?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4d165 (base 14) in base 9?\nAnswer: 318100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 228*k**2 - k - 3. Suppose 3 + 29 = 8*i. Suppose 20 = -i*o, -4*o = -3*r - 8*o - 26. Is x(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23\/40797 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**2 + 3 - 21900*f - 100747*f - 5 + 3.\nAnswer: 2*f**2 - 122647*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5584531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -187.40953 + 104.41036. Let t = r + 83. Round t to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dihhahhiiihvvpd. Give prob of sequence iv.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n = 51 - 35 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**16*k**12*(k**(-2\/3))**(1\/56))**(-8\/15) assuming k is positive.\nAnswer: k**(-4702\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1215 is divided by 1175?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 0 = -3*o. Let q(b) = -o*b + 7 + 4*b**2 - 5*b**2 + 4*b**2. Let a be q(6). Calculate the greatest common divisor of 5 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 420819252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15140*f - 110828*f + 6293*f.\nAnswer: -89395*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 15 = -4*a + 8, 2*a = -o + 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 109 - 109.6. What is the closest to -0.2 in 0, 3, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 192.77 - 192. Let w = -10.37 + i. Round w to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tpezet. What is prob of picking 2 e?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10242\/13 + -788. Which is the nearest to -1\/4? (a) f (b) -3\/4 (c) -0.5 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 37*f + 14. Let n be l(-4). Let c = n + 270. Calculate the greatest common factor of c and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - 2*p + 16. Let l(z) = z + 7. Let i be l(-5). Suppose i*o = -2*o + 12. Calculate the remainder when p is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u - 20. Let y(x) = -x + 10. What is 3*v(m) + 5*y(m)?\nAnswer: m - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 4.9015. Let x = 1141.9015 + j. Let i = 1142.0553 - x. What is i rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -514 bigger than -546?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by 6.\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15\/8, -2\/3, -107, -3\/2, 1\/3 in decreasing order.\nAnswer: 15\/8, 1\/3, -2\/3, -3\/2, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/9, 2439, -5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 40339828?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*n - 4. What is the units digit of -2 - n\/4*46?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hcc when three letters picked without replacement from hccccccchc?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7613266 divided by -283?\nAnswer: 26902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32419, -32423, -32429, -32437, -32447, -32459?\nAnswer: -32473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 13 + 2 = 0. Solve -3*j = -5*s + 12 + g, -4*j - 3*s + 9 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-80)\/12 + 2\/(-6). Let z(t) = 24*t**2 - 7*t + 1. What is the remainder when v - (-9)\/3 - -55 is divided by z(1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.044034797 rounded to three dps?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -4. Let j(u) = 2*u**3 - 82*u**2 - 2*u + 80. Let i be j(41). Which is the closest to -0.1? (a) i (b) -4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttxx when four letters picked without replacement from {h: 5, x: 2, t: 10, c: 3}.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(448\/(-140)))\/(((-36)\/(-16))\/9)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -90 - -462\/5. Factor -4*v**3 + 0 + 8\/5*v - i*v**2.\nAnswer: -4*v*(v + 1)*(5*v - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n**3 - 11*n**3 - 15*n**3 + (-2*n**2 - 2*n**2 + 2*n**2)*(-n + 1 - 1) - 2*n + 2*n + 3*n**3.\nAnswer: -17*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163466?\nAnswer: 2, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**3 + 75*w**2 - 184*w + 81. Calculate t(35).\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h**(-4\/3)*h)\/h*(h**(-6)\/h)\/h)\/(h\/(h**(3\/4)*h*h)*(h\/(h\/(h*h**6)*h))\/h))**(4\/7) assuming h is positive.\nAnswer: h**(-139\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 33*a - 11. Let f(x) be the first derivative of 17*x**2\/2 - 6*x - 2. Let y(c) = -11*f(c) + 6*r(c). List the prime factors of y(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46 - -47. What is the smallest value in t, 3\/8, 0.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40290 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -10?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3117170 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 72 + -16. Calculate the highest common factor of 7 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, -5, -275, -2, -3, -4 in decreasing order.\nAnswer: -0.6, -2, -3, -4, -5, -275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 39576677 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 11*j**2 - 12*j - 1. Determine h(10).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -403 - -1544. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1417.\nAnswer: 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-4)*4\/(-25)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2870 and 1232665.\nAnswer: 1435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yrrrryhryrryy. What is prob of sequence hryy?\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -590.7 + 590.7. Let w = 1.9 + -2. Let b = w + 0.6. What is the nearest to 0.2 in 0.06, b, u?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7916.336 meters in kilometers?\nAnswer: 7.916336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 14*k + 15. Let t be c(-15). Suppose -6*x + 21 + 15 = t. Suppose -x*r = p - 5*r - 12, 4*r = -8. Is p a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -5*j**3 + 6*j**2 - 4*j + 12. Suppose -275 = 2*z + 3*v - 294, 4*z - 43 = -v. Let n(s) = 9*s**3 - 11*s**2 + 7*s - 23. Determine z*r(k) + 6*n(k).\nAnswer: -k**3 - 2*k - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 314 times 3?\nAnswer: 942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41023 + 42270.74. Let i = 1333.669 - t. Let c = 86 - i. Round c to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1676754 by 6.\nAnswer: -279459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 2, 17, -13.9, 5\/14?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 164caa + 1?\nAnswer: 164cab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/4)\/(g\/g**(-37)))\/(g**(-4\/21))**(5\/8) assuming g is positive.\nAnswer: g**(-3203\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -7\/2*j**2 - 1\/3*j**3 + 2 - 29*j. Suppose 2*x + 4 = 18. Calculate l(x).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32394640 divided by 2638\nAnswer: 12280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 9*t**2 + 8*t + 9. Let y be q(-8). Let w = y - 7. Find the third derivative of -3*a**5 - a**2 + 0*a**5 + 7*a**5 - w*a**2 wrt a.\nAnswer: 240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32\/24829 + -2576976697\/297948. Let t = -8660 - c. Calculate the common denominator of -13\/12 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -1. What is the remainder when 1*2 - (-32 - -6 - 3) is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -48\/17, -3\/7, 0.2 in decreasing order.\nAnswer: 0.2, 0, -3\/7, -48\/17, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + (0 - 1) - (-535 - -348). Calculate the highest common divisor of 285 and u.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 7:06 PM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1507, -1499, -1491?\n\"Answer: 8*n - 1515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 507.2 + -507. Which is the closest to z? (a) 0.3 (b) 3 (c) 48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-4))\/(60\/80)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11015 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274 = -x + 5*w - 219, -x + 45 = -4*w for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 q, and 1 z when four letters picked without replacement from szzzzqsszzzzsq?\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2d11 (base 15) to base 6\nAnswer: 112511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-6))\/((-1)\/(-12)). Suppose -x = 1001*u - 1007*u. Solve -4*g - 5*f = -1, 4*g - u*f = 2*f - 8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 97, 5, -7 in descending order.\nAnswer: 97, 5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -57*t + 52*t - 15, -2*t - 11 = -d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.45 + 0.65. Put -1, 2\/13, c in decreasing order.\nAnswer: c, 2\/13, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r - 8, -8*r + 4*r - 8 = -4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*z**3 - 33*z - 87 - 13*z**3 + 95 wrt z?\nAnswer: -9*z**2 - 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -4609*s + 4596*s + 4*k, -s - 3*k = -12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seventy-six fifths of a milligram?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -362 - 1088 = -459*y + 103*y + 686 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3 - 7*v**2 + 49*v + 343.\nAnswer: -(v - 7)*(v + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -215110\/39 bigger than -5517?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7314 - -10659. Suppose 3*v - 5*a = 3469, -3*v + n = 3*a - 132. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45660 and 4.\nAnswer: 45660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.4 (b) -0.5 (c) -1 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2312 - -0.23116814. What is r rounded to six decimal places?\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/4 - 2\/8. Suppose 0 = 3*v - 2*k - 0*k - 7, k + 6 = q*v. Is v even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52 (base 9) to base 13\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 754, 751, 746, 739, 730, 719, 706?\n\"Answer: -b**2 + 755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/5 of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 4*c + 2*c + c - c - 2*c + (-4 + 2 + 3)*(-3*c - 3*c + 4*c))*(-47*c - 42819 - 80*c + 42817).\nAnswer: 635*c**2 + 10*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.1104497 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 o when three letters picked without replacement from rooorro.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 3:06 AM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -286\/447 + -4\/149. What is the second biggest value in 84, -4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 - 18 - (-1)\/((-266)\/252 - -1).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 8a?\nAnswer: -8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1276220499.\nAnswer: 3, 2819, 150907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-11)\/x**3)\/(x**(8\/3)*x*x**(-5)) assuming x is positive.\nAnswer: x**(-38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 6:12 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (10 - (-276)\/(-27))\/(290\/(-522))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 58 = 2*c - 4*c, -4*a - 3*c + 117 = 0. Suppose -170 = 37*u - 54*u. What is the greatest common divisor of a and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 138, 136, 134, 132, 130, 128?\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (285\/(-5) + -4)\/(3 + -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from 0.7635.\nAnswer: 0.5635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/1077041 and -95\/10542.\nAnswer: 6462246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 741391 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/4 + 55*x**2\/4 - 4625*x\/4 + 65625\/4.\nAnswer: (x - 25)**2*(x + 105)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26687670?\nAnswer: 2, 3, 5, 889589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -12. Let o = 10 - b. Let q be ((-6)\/44)\/((-3)\/4). What is the second biggest value in -0.5, o, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 595 is divided by 594?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31*r**3*s + 235*r**3 + 3*r**2*s + 1933*r**2 - 119*s wrt s.\nAnswer: 31*r**3 + 3*r**2 - 119","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - 3*j + 2*j)*(3*j**3 + 3*j**3 - 7*j**3 + 8*j**2).\nAnswer: j**4 - 8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2130575763.\nAnswer: 3, 383, 509, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2 - 3)*(1 - 1 + 5*g) + 0*g + 3*g - g - 1427*g - 882*g + 505*g as c + q*g and give q.\nAnswer: -1792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*i**4 - 371524*i**3 + 1151352*i**2 - 111420*i = 0. Calculate i.\nAnswer: 0, 1\/10, 3, 9285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28 or 24?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 3*b + 12, 0 = 4*d - b - 28. What is the second derivative of -26*c + d*c**3 + 17*c - 7*c wrt c?\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 11:34 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218 - j**3 - 141 - 128.\nAnswer: -j**3 - 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2 - 23*r - 138. Let f be n(-8). Does 41 divide (-3 - f - -3)*35\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/5343749 and 151\/1116.\nAnswer: 192374964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -222973 and 29.\nAnswer: -6466217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 127.3 + -127.6045. Let t = 0.3 + a. What is t rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*n + 75*n + 1545 = -5*x, -5*x = -5*n + 1515. Do x and -311 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 - -41.13. Let p = -0.13 + r. Which is the second biggest value? (a) -0.2 (b) -1\/6 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.217 + 89.217. Let z = -93 + t. Let u = -3.2 + 0.2. What is the second smallest value in z, -2\/7, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 941 - 4?\nAnswer: 937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-2)*2\/10. Let h(q) = 23*q**2 + q. Let k be h(n). Suppose -3*w + k = w. Solve 5*b - w - 14 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 265, 270, 275, 280?\nAnswer: 285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15802152518 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -241 - -135. Let l = 214 + s. Does 27 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-3))\/((-3)\/(-108)*3)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.03 > 8398?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*d + 12*d - 3*d - 16*d**2)*(-6*d**2 + 2*d**2 + 2*d**2) to x*d**4 + y*d + i + m*d**2 + a*d**3 and give a.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 126?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 4*w**2 + w. Let r be c(2). Let t = -274\/39 + 9\/13. Which is greater: r or t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6137 + -6124. Let v(x) = x**2 - 3*x - 1. Let f be v(4). Suppose 12 + 96 = f*r. What is the remainder when r is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 6*s**2 - 6*s + 2. Let b be 0\/3 + (1 - -6). Let j be g(b). Suppose -4*p - 2*q + 14 = 0, -p + 2*q = -0*q + j. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*b**2 + 569837*b - 569837*b.\nAnswer: 25*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 8*o**3 - 5*o**2 + 7*o. Let l(n) = -25*n**3 + 14*n**2 - 20*n. Give -4*l(p) - 11*s(p).\nAnswer: 12*p**3 - p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.7 * 936.\nAnswer: -1591.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 5*q - 13, -m + q = 4*q - 19. Suppose -m*a + 7 + 1 = 0. Sort a, 4, 3 in descending order.\nAnswer: 4, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 742258 is divided by 368604.\nAnswer: 5050","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5108, 5099, 5070, 5009, 4904, 4743, 4514, 4205?\nAnswer: 3804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -17795.8619 rounded to the nearest one thousand?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-5\/2)*u\/u**(-6)*u*u**3\/(u**(-1\/2)*u))\/((u\/(u**1*u)*u)**(-27))**(-9) assuming u is positive.\nAnswer: u**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 3 + -6)*-39. Let u(f) = f - 3. Let o be u(6). Suppose o*x - 195 - r = 0. Calculate the greatest common divisor of 13 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000135385811 rounded to seven decimal places?\nAnswer: 0.0001354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -399287083.8 rounded to the nearest 100000?\nAnswer: -399300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -2.8. Let h = -0.67 + 0.47. Let i = t - h. Which is the second biggest value? (a) 2\/5 (b) i (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8703184060458 take away 1.2?\nAnswer: -8703184060459.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 11:49 PM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-34)\/(-70) - 10\/50. Let g(a) = a + 5. Let m be g(0). Let r = -253 + 2279\/9. Put f, m, r in descending order.\nAnswer: m, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65 and 2995?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0938 take away 14?\nAnswer: -14.0938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 2*c, -14*n + 11*n = -5*c. Solve 10 = 5*l - 3*d, -d = -n*d + 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - -3*sqrt(66))*6 + sqrt(66))\/(sqrt(150)*3).\nAnswer: 5*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4826089 is divided by 374.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 121 in -47, -1\/3, -3\/2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -9*d + 20. Let o be h(6). Let r = o + 38. Suppose b + 9 = r*b. Solve 0 = -a - b + 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 2659219, 4, 0.1?\nAnswer: 2659219","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 15) in base 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1490, -4, -13, 0, -2 in decreasing order.\nAnswer: 0, -2, -4, -13, -1490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1068320685 + 2268*k + 1068320685.\nAnswer: 2268*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a week in minutes?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 18827912, 37655826, 56483740, 75311654?\n\"Answer: 18827914*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32551468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 + 140259*u + 31710150.\nAnswer: -3*(u - 46978)*(u + 225)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**4\/8 + 8139*t**3\/8 + 157137*t**2\/2 + 2825979*t\/2 + 1335438 = 0.\nAnswer: -2634, -52, -26, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l + 5. Let q(s) = -1. Let d(r) = -30*q(r) - 6*x(r). Let k(v) = -6*v**2. Determine k(d(c)).\nAnswer: -216*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.086 + -188.286. Let k = -187 - a. What is the nearest to 3 in k, 1.4, 5?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 189272206?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -7*d**2 + 36*d - 43. Let j(k) = -6*k**2 + 36*k - 43. Let g(v) = -5*c(v) + 6*j(v). List the prime factors of g(25).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 4*z**2 + 5*z - 3. Let c be y(-3). What is the greatest common divisor of c and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29.27556l?\nAnswer: 29275.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -352 + 383. What is the remainder when 184 is divided by c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29262 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 80*4\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**2\/2 + 1863*u + 70433\/2 = 0.\nAnswer: -3707, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u + 5*o - 49 = -17*u, 5*u - 3*o = 45. Calculate the remainder when 22 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-1 + (0 - 0)). Suppose -2*t = 2, 0*t + 3*t = -2*p + n. Find the third derivative of i**p - 7*i - 2*i**2 + 7*i wrt i.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -530765*p**4 + 448915 with respect to p.\nAnswer: -2123060*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-2\/3)*t**(-5)*((t\/(t**(-1)*t*t))\/t)**(-2))\/((t*t*t*t**(-4\/3))\/(t**(-4)*t))**(9\/11) assuming t is positive.\nAnswer: t**(-214\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/388577 and -41\/111022.\nAnswer: 777154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/3 - (-34)\/561*11. Solve 3*b - 6*b = j*s + 25, 2*s = 4*b + 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**3 + 19*l**2 - 8*l - 4. Let p be b(9). Let g(u) = 6*u**3 - 2*u**2 - 2*u**2 - 5*u**3 - u - 1. Give g(p).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -344 (base 5) to base 2\nAnswer: -1100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (278 + 310 - 313)*(-42*t**2 + 11*t**2 + 6*t**2).\nAnswer: -6875*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cmp when three letters picked without replacement from prprprrrrcme?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10856976 minus -18971914?\nAnswer: 8114938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12210102 + 1?\nAnswer: -12210101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 1014.9076.\nAnswer: 405.96304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.54 - -0.14. Let x = d + -3.6. Let v = 1 + -1. Which is the closest to v? (a) x (b) -3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m**3 + m**2 - 1. Let p be l(1). Suppose 0 = 3*u - 3*a - 1 - 5, -2*u = 3*a + 1. Sort -2, p, u in descending order.\nAnswer: u, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 13*a - 23 + 3. Let j = 1 + 1. Solve -a - 1 = j*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*i + 8*i - 17*i - 1764 = -27*i for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 35315542 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + 0 - -4)*33. Suppose 3*o = -o - p + 99, 3*p = -o + r. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -1053542\nAnswer: -3\/1053542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 7*c + 22. Let q(h) = 6*h + 21. Let a be q(-4). Let d(t) = -8*t - 23. Let k(b) = a*d(b) - 4*v(b). What is the tens digit of k(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210824716?\nAnswer: 2, 23, 2291573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-7)*h**(-1\/7))**50)**20 assuming h is positive.\nAnswer: h**(-43000\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 40 divided by 28258\nAnswer: 20\/14129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4401 and 1242?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5\/2)\/((-1)\/(-2)). Suppose 10 + 5 = k*q. Suppose -4*z + 3*v + 12 + 13 = 0, -22 = -q*z - v. Is 3 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 8*o - 15. Let j be q(-9). Let h = 28 + -23. Let f(l) = 5*l - 3. Let s(a) = 6*a - 4. Let p(v) = h*f(v) - 4*s(v). Give p(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 9 + 11 - (-21 - -30).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39236184 by 4359576.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 2. Suppose -4*m = -c*m - 4. Suppose m = 3*h - 2. Solve h + 2 = 4*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 912204301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1135 divided by 227\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -d**2 + d + 4639. Let a(m) = -2*m + 2. Give -5*a(x) + 4*v(x).\nAnswer: 2*x - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33438 + k + 14*k**3 + 33438 + 2*k**2 to q*k**3 + m*k + s + n*k**2 and give q.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3432 + -3432. Which is the third biggest value? (a) -1 (b) v (c) -6\/11 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*f**2 - 282*f - 8 + 177*f + 66*f - f**2 + 0*f**2 - f**2 - 2*f**2 - 2 + 2 + (3 - 1 - 1)*(f**2 - 2*f**2 + 0*f**2).\nAnswer: -10*f**2 - 39*f - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -106 + 110. Let w(h) = o + 3*h + 2 - 8*h + 4*h. Let k(c) = -c**3 - 8*c**2 - 7*c + 5. Let r be k(-7). What is w(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**3\/l**(4\/9)*(l**11)**(9\/4))**(1\/28) assuming l is positive.\nAnswer: l**(983\/1008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61336?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*u**2 + 274 - 274.\nAnswer: 14*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/3)\/(3 + (-498)\/162). Let a be 110\/w + (60\/27 - 2). List the prime factors of (-89 + 2)*(a - -11).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 + -17. Let i = -28 - c. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 5. Let p be ((-2)\/8 + 1)\/(2\/(-96)). Let n = p - -106\/3. Which is the third biggest value? (a) n (b) z (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 - 89 - 1474 = -48*o. Let h = -8 + 19. Let t = o + h. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 4*a**2 - 4*a. Determine q(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) 2 (c) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-11\/5)\/(a*a*a**(2\/3)*a*a*a))\/(a\/(((a**(-7)\/a)\/a)\/a)*a\/(a\/(a*(a**(-11)*a)\/a)*a)*a) assuming a is positive.\nAnswer: a**(-133\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 903556547 to the power of 1\/4, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2374316, -2374318, -2374320, -2374322, -2374324, -2374326?\n\"Answer: -2*w - 2374314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a1a031 + -b6?\nAnswer: -1a1a117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -22*v + 68. Let n(y) = -17*y + 67. What is -3*n(q) + 2*s(q)?\nAnswer: 7*q - 65","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*p - 2300 = -202*p for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 7*u - 14. Determine x(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243*s - 3865 = 15830 + 2416 + 2 for s.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*v - 3*v**4 + 17*v**4 + 2*v**2 + v**3 - 2*v**4 - 10*v**4 - 3*v**2 as o*v**2 + u*v + f*v**4 + h + m*v**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(5*-2*sqrt(22))\/sqrt(2))**2.\nAnswer: 17600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 44, 3 in decreasing order.\nAnswer: 44, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2\/7 + 18*h\/7 + 24\/7.\nAnswer: 3*(h + 2)*(h + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/5 of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f*f\/(f**(-1\/2)\/f))))**(4\/11)\/(f**(5\/2)\/f**(2\/5))*(f\/(f*f**(-2))*f**7\/f)**(1\/17) assuming f is positive.\nAnswer: f**(-667\/1870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3676, -12497, -27048, -47329, -73340, -105081, -142552?\nAnswer: -185753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1399 - -1418. Suppose 4*k + t = 224, -2*k + 5*k - 3*t - 183 = 0. What is the highest common divisor of k and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 5*v**2 - 150160*v + 1127401280 = 0?\nAnswer: 15016","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-6) + 28\/(-42). Let r(g) be the second derivative of f*g**2 - g + 1\/6*g**4 + 0*g**3 + 0 + 3\/20*g**5. Find the third derivative of r(x) wrt x.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-6) - 158\/(-6). Suppose -2*x + 5*i = -33, 3*i + g = 3*x - 1. Suppose x*w = -12, -m + 0*m - 3*w = 6. Calculate the remainder when m is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.018417 to 3 decimal places.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*t - 2*x + 6, -38 = -5*t - 2*x. Let b be (-969)\/(-24) - 3\/t. Let a = 43 - b. What is the biggest value in -5, a, 1\/6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y - 2*j + 22, -7*j + 2 = y - 5*j for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11, 2\/9, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4523321 - 0?\nAnswer: -4523321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 8 = 5*z. Suppose 2*a + z*x = 0, -3*x + 4*x - 7 = -4*a. Suppose 104 = u - a*h, -5*h = -5*u - h + 514. What are the prime factors of u?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/3, 12, -5027, 5 in descending order.\nAnswer: 12, 5, -2\/3, -5, -5027","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/6240 and -107\/76.\nAnswer: 118560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o - 1. Let m be d(3). Let p = 18 - 16. Suppose u + 6 = p*r, -m*r - 4*u - 5 = 6. Which is the third smallest value? (a) -1\/9 (b) r (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l - 11. Let g be m(5). Suppose -g*r - 109 = -117. What is the second derivative of 21*v + v**2 - v**2 - 2*v**2 + 7*v**r wrt v?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 12 = -5*k + 21, -2*k + 12 = 2*f for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.05 + -4.05. Let k = -1.1 - b. Let d = -4.09319 + 0.09319. What is the biggest value in -0.06, k, d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 433127666 to the power of 1\/3, to the nearest integer?\nAnswer: 757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 354314222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35720736 to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 7. Let q be ((-88)\/(-24))\/(w\/(-711)). Let i = q - 1793. Round i to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -570, -681, -792?\nAnswer: -903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 165 = 3*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 13*k**2 + 8*k - 12. What is the units digit of p(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 9, -4*c - 25 - 4 = 3*o. Let d = 412.6 + -413. Put c, d, 0.09, 4 in descending order.\nAnswer: 4, 0.09, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6704743, -26819037, -60342883, -107276287, -167619255, -241371793, -328533907?\nAnswer: -429105603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cac when three letters picked without replacement from {c: 7, a: 3, i: 8}?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 253, 635, 1017, 1399, 1781, 2163?\n\"Answer: 382*a - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -82*i**4 + 4*i**3 - i**2 + 48. Let d(t) = -82*t**4 + 5*t**3 - t**2 + 50. Let a(f) = -4*d(f) + 5*x(f). What is the first derivative of a(u) wrt u?\nAnswer: -328*u**3 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7374 * -397\nAnswer: -2927478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3*-5*1*sqrt(162))**2 + -6*(2 + ((sqrt(198)*-1)\/sqrt(11) - sqrt(18))).\nAnswer: -218712 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 128541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -v**4\/12 + 5*v**3\/6 + v**2 - v. What is q(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/13, 3\/16, 3, 1, 0?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -913 + 1886 - 778 = 15*y. Solve 5*x = -4*p - y, 4*x - 8*x = -2*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*c, 3*c + 4 = -w - 0*w. Suppose b - 5*u - 11 = -u, -4*b + 22 = -w*u. Solve -2 = 2*p + 4*d, d + b*d - 1 = p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**5 - v**5 - v**5 + (-2*v**4 + 0*v**4 + 0*v**4)*(3*v - v - 4*v) - v**4 + 8345*v**3 - 1310*v**5 - 8345*v**3.\nAnswer: -1308*v**5 - v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) - 4*(sqrt(833) - (sqrt(833) - -2*sqrt(833)))) + (sqrt(833) - 2*sqrt(833)*-1).\nAnswer: 84*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -0.3, 14\/9, -0.02?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 21*d**2 + 8*d. Let q(g) = 7*g**2 + 3*g. Let a(m) = -11*q(m) + 4*r(m). Calculate a(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.023 times -0.19\nAnswer: -0.00437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2 + 892*s + 888.\nAnswer: 4*(s + 1)*(s + 222)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 8 + (2 - -2) + 3 + -12.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4 + 8*c**2 + 11*c**2 + c**2 - 1 wrt c?\nAnswer: 40*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) 0 (c) -106 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 132.32744 + 0.62156. Let u = f - -0.051. Let m = u + -129. What is the nearest to 1 in 11, -0.4, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259*h - 5273 - 1398 = 21 + 42 for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 23455047.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 373539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1233442.\nAnswer: 2, 7, 19, 4637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*f = -56*f + 1350. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1398 + -275. Is 22 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4106474.9 to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -2. Let k be 0 + ((-7)\/(7\/4) - -3). What is the closest to k in -4, -5, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - 1*6\/(-3). Let i be 2\/(-9) - (-40)\/18. Suppose 3*t + i = -0*t + z, 4 = -4*z. What is the closest to -1 in t, -0.1, l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2*p + 12 = 0, 5 + 12 = 4*g + 3*p. Suppose -61 = -g*d - 1. Let y = -163 + 167. Solve y*u + d = 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -7825*m + 96. Let q(h) = 15649*h - 216. Calculate -9*j(z) - 4*q(z).\nAnswer: 7829*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 494751926 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2730 divided by -30\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -4\/426615 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48404*x - 17681*x + 47106*x.\nAnswer: 77829*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 24, -1\/4, -19, -14 in increasing order.\nAnswer: -19, -14, -3, -1\/4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 2*f**2 + 218*f + 1945. What is d(-7)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -77e9 (base 15) to base 2.\nAnswer: -110001101001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3757\/9 + -22123\/63. Let f = 66 - j. Let t be (-2)\/(-24)*(-8)\/(-3). What is the closest to f in -2\/3, -0.1, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 + 41. Suppose 4*h = -c + 660, 660 = 4*h - 2*c + 4*c. Calculate the highest common divisor of y and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -7501*s + 97236. What is r(13)?\nAnswer: -277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/3 + 82*m**2\/3 + 176*m.\nAnswer: 2*m*(m + 8)*(m + 33)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1279 - -2505\/2. What is the common denominator of n and -43\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1456)\/84)\/(22\/66)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s + 1. Let o be r(-2). Solve 0 = -3*i - 2*h - 15, 3 = -3*i - o*h - 12 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 58*c**2 - 615*c - 53. What is l(44)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -370513*k**3 - 8316*k**2 + 7*k.\nAnswer: -2223078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) -2\/7 (b) 3 (c) 2696 (d) -4 (e) -0.0461 (f) 1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 4 = 4. Let f be ((-2 + 2)\/3)\/r. Suppose f = -0*t + 3*t. Which is smaller: 2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3*c = -1000 - 152, 0 = -2*z + 2*c + 760. Is z a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -3*z + 6, -149*y - 4*z = -153*y - 8 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -81 + 86. Suppose 0 = -3*o - m*j + 2, 3*j + 2*j + 18 = 2*o. Suppose -x + 3*u = -989, o*x - 3892 = -u - 3*u. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ubqubquq. Give prob of sequence qb.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -b355 (base 12) to base 5\nAnswer: -1111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -400*p*r**3 + 26*p*r**2 + 6*r**2 wrt r.\nAnswer: -2400*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 95*w**3 - 6*w**2 - 7*w + 4. Let p(r) = -r**3 - r**2 + 2*r + 2. Calculate -j(t) + 2*p(t).\nAnswer: -97*t**3 + 4*t**2 + 11*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/4 of a year?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 0.3 (c) -12\/311 (d) 17\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55 + 27 + 27 - 23*h + (2 - 2 + h)*(-1 - 3 + 3) - 3*h + 5*h - 3*h to the form c*h + x and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 193, 371, 549, 727, 905?\n\"Answer: 178*o + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10\/9, -114, -2\/9?\nAnswer: -114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 863 + -1292. What is the third smallest value in -2\/7, -1, q?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - 20. Let r be f\/(-3 - (1 - 5)). Suppose 12 = 4*a + 5*s - 7*s, -r*s - 10 = -3*a. Solve 0 = -2*m - g + 5*g - 20, a*g - 10 = -3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 - 1)*(-k + k - 2*k)*(2 - 5 + 2) in the form a*k + p and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**3 - 41*b**2 + 8*b + 176. Let k be g(20). Let w = 3 - 8. Let p be k\/60*3*w. Solve -3*a = a + p for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b. Let y be g(-1). Let r = 41\/6915 - -25027\/55320. Which is smaller: y or r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 21479 and 21477 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 13 - 2 = 0. Let q be (-4)\/b*15\/10. Suppose q*s = -2*s. Sort 5, -4, s in decreasing order.\nAnswer: 5, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -120*b + 47*b + 0*b**2 - 210*b - 2*b**3 - b**2 + 213 - 218 to the form k*b**3 + z*b + f*b**2 + i and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2 = 1. Is (-70)\/30*a*2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*g + 20 = 255 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*d = -4815 + 1535 + 1528 + 1452 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 5:00 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3887 divided by -3896?\nAnswer: 3887\/3896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 221\/340 + (-2)\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44.3 - -44.2. Suppose 5*n = 4*z - 24, -2*n - z - 28 = n. Let y be (-15)\/n*(-4)\/10. Which is the closest to m? (a) 4 (b) y (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 234137905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(2736) - sqrt(2736))**2 + -3*sqrt(19) + -5.\nAnswer: -3*sqrt(19) + 24619","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**4\/2 - 64*g**3 - 9249*g**2 + 723008*g + 127622209\/2 = 0.\nAnswer: -79, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1075, -1\/6, 17, -5\/6, -0.4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 173 and 109163.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d + 10. What is x(-8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5757 is divided by 1650.\nAnswer: 807","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**2 - 7*z + 7*z + z**2.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 23*l**2 + 20*l - 37. Give s(-22).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4868058.\nAnswer: 2, 3, 13, 139, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 o when two letters picked without replacement from {c: 2, o: 2, u: 5}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(10\/11)\/f**10)**31\/(f**(-3\/4)*f*f*(((f\/(f*(f**(-6)\/f)\/f*f*f)*f)\/f)\/f*f)\/f*f\/((f**(-8)*f)\/f)*f*f*f\/(f\/(f*f\/f**(-7))*f)*f*f) assuming f is positive.\nAnswer: f**(-13599\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.311 + 1.689. What is the nearest to 0 in g, -7, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (24\/1)\/((5 + -15)\/(-5)). Let m be (5 - 2)\/(33\/i*-66). Let j = -252\/605 - m. Which is the third biggest value? (a) 2\/53 (b) -2\/3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 1:12 PM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/sqrt(3) + sqrt(3))*-6 + (sqrt(3) + sqrt(3) + sqrt(192) + -1)**2 - (sqrt(108) + -1 + sqrt(108) + sqrt(108) - sqrt(108) - 1*sqrt(12)).\nAnswer: -42*sqrt(3) + 302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-73 - -58)\/((-14)\/((-616)\/(-33)))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*c, i + i - 5*c + 13 = 0. Let h be 1\/2 - (i + 5). What is the third biggest value in 5, h, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 32 - 35. Let l = 341 - 341.2. Sort l, -37, n.\nAnswer: -37, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2 and 297 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*d = -5. Suppose d*h - 89 = -69. What is the first derivative of 11 - 15*y**h - 6 - 5*y**4 wrt y?\nAnswer: -80*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -859*n + 3449. Calculate the remainder when 6716 is divided by j(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m - 74 - 10 = 0. Find the third derivative of 93*r**m + 2*r**2 - r**2 + 115*r**4 + 0*r**2 + 143*r wrt r.\nAnswer: 4992*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -117 - 204. Let d = 75\/34 - -481\/17. Calculate the common denominator of d and (-5)\/6*v\/15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-4)*((-12544)\/(-105))\/(-56)*10?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jxjxxoxoj. Give prob of sequence jj.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2 + sqrt(1053)) - sqrt(1053))**2 + sqrt(1053) + -4 + -1*sqrt(1053).\nAnswer: -1080*sqrt(13) + 38004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 957066.\nAnswer: 1\/957066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 + -0.8. Let a = -1.1 - d. Let m be (-1 + -4)*8\/10. Sort 0.4, m, a in descending order.\nAnswer: 0.4, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 4:41 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -1, -0.43, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*0.246159.\nAnswer: -0.492318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 2919?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 21*n - 67. Let s(u) = -24*u - 9*u - 30*u + 60*u. Give q(s(l)).\nAnswer: -63*l - 67","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4105 + 2052 + 5520*c + 2053.\nAnswer: 5520*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*p + 80959997 = 0, s = 4*p + 12169629 + 8070367. What is s rounded to the nearest one million?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1666760 to the nearest 10000.\nAnswer: 1670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 2)*5\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i\/i**(2\/5)))**(-2\/25)*(i\/(i*i\/(i\/(i**4*i*i))))\/(i*i*i**(-1\/2)*i) assuming i is positive.\nAnswer: i**(-2113\/250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of 0*o**2 + 0*o + 46 - 1\/12*o**4 - 1\/9*o**3. Factor l(h).\nAnswer: -h**2*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(152)*-2 - (sqrt(152) + (sqrt(152) - (sqrt(152) - (sqrt(152) + -2*sqrt(152)*6)))))\/(4*sqrt(512)*4).\nAnswer: -sqrt(19)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -190*n - 7*n - 255*n - 41*n to the form l*n + m and give l.\nAnswer: -493","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62449432 to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111 - -11011011100?\nAnswer: 11011111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2961254.58 rounded to the nearest one hundred thousand?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*a - 101*a + 1365 = -7*a for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43475\/6 - 19816\/3. Let m = s + -93517\/146. Is 0 > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zvzzvvvzzzvzz. Give prob of picking 4 z.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 20 (c) 45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.35, -8.2, 66.\nAnswer: -8.2, 0.35, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 195240338 to the power of 1\/2, to the nearest integer?\nAnswer: 13973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i. Let g be l(4). Let y be 2 + (-72)\/(-8) + -4. Put g, y, 5 in descending order.\nAnswer: y, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-14))\/(2\/2). Let s = 0.007 - -18.293. Let p = s + -22.3. Which is the third smallest value? (a) f (b) -5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 190 divided by 1018.\nAnswer: 95\/509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 130757001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7551537?\nAnswer: 3, 7, 47, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2 + 8*s - 23. Calculate the remainder when r(8) is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1, -0.17, -21?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.213 - 0.173. Let n = 2.9 - p. Round n to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 34*w**2 - 59*w + 16. Is 20 a factor of h(36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen halves of a century?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*q**4 - 32*q**3 + 187828*q**2 + 919*q + 353191 wrt q.\nAnswer: -48*q**2 - 192*q + 375656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 555 divided by 7?\nAnswer: 555\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1158, -1895, -2628, -3357, -4082, -4803, -5520?\nAnswer: -6233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -350308 divided by 7.\nAnswer: -50044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -101 + 101. What is the units digit of ((-2)\/(-5))\/(a + (-5)\/(-550))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**3\/11 + 508166*n**2\/11 + 4065232*n\/11 + 8130400\/11 = 0. Calculate n.\nAnswer: -254075, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 2\/3, -0.8, -5 in decreasing order.\nAnswer: 2\/3, -0.8, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/72)\/(2\/4). Are u and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2353789*o**2 + 5965*o + 5965. Let h(j) = 1184*j**2 + 3*j + 3. Calculate -11930*h(z) + 6*m(z).\nAnswer: -2386*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from ezzzzzezezzzzzzzzezz?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/105 of a week in minutes?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 708 and 24429894?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*x - 3 + 5 - 20*x.\nAnswer: -39*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 27 + 89. Let h = 8 - o. What is the remainder when h is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -566854*p + 566854*p + 226*p**3 + 1.\nAnswer: 226*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/8370 and 179\/944460.\nAnswer: 29278260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = q, -q - 3*n = -6*n. Suppose 7*r - 5*r - 58 = q. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 - 26. Suppose 0 = -4*u + w*p + 115, -33 - 32 = -2*u + p. Calculate the lowest common multiple of u and 30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/2)\/(-3 - -5)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 1:04 AM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -480, -883, -1294, -1713, -2140, -2575?\n\"Answer: -4*t**2 - 391*t - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9099*m - 156*m - 35772 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 0 + 2*d + 0*d**2 - 1\/2*d**3. Let q(j) = -j**2. Give v(q(f)).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 divided by -1?\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.6819 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7640 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -101011011100 (base 2) in base 7?\nAnswer: -11051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6035731460?\nAnswer: 2, 5, 11, 193, 142151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-72)*(192\/152)\/(-8)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 616*k + 626*k = 1195*k + 1457 for k.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -1 (b) -2 (c) -23\/10 (d) 221.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 7:04 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 w when two letters picked without replacement from qwwwaqweeawe.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 4:35 PM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14032 or -14034?\nAnswer: -14032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 411 - 390. Solve -z*v = -23*v + 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82 (base 9) to base 5.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3226174328 to the power of 1\/5, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -180512 bigger than -180747?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -212*s. Let x(y) = 20*y. What is f(x(k))?\nAnswer: -4240*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3733*k = -3825*k - 3680 for k.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-125)\/450)\/(715\/7293)?\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p - 7. Let v(t) = -124*t - 494. Let s be v(-4). What is l(s)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 16 - ((20 - -10) + -25)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -4*i**2 - 79*i + 163. Give u(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3653*b**3 + 2500*b**2 wrt b.\nAnswer: -21918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/5 - 344009*f\/5 - 1032018\/5.\nAnswer: -(f + 3)*(f + 344006)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -31 + -140?\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/174534 and -103\/570?\nAnswer: 872670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 416107524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 638 + 1000. Let g be j\/7*2\/6. What is the greatest common factor of 143 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46413365, -92826731, -139240097, -185653463, -232066829?\nAnswer: -278480195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(78) + sqrt(78) + sqrt(78)*-2 - sqrt(78))*-1*1)\/(sqrt(6) - (sqrt(6534)\/sqrt(9) - sqrt(6)) - sqrt(66)\/sqrt(99)))**2.\nAnswer: 117\/784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-10)*(-92 + 41730\/455).\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/30*56\/264*(-810)\/(-420)?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1*f)**(-15)*((((f*f\/(f*(f*f\/(f\/(f**1\/f))*f)\/f*f)*f)\/f)\/f)\/f)**(-19) assuming f is positive.\nAnswer: f**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-12 - -2))\/(3\/25)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 175, -4, -14, 3, 9095 in descending order.\nAnswer: 9095, 175, 3, 2, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.012 and -2685.\nAnswer: -2717.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1739850.13 to the nearest one hundred thousand.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 2*d - 6 = 0, -55*j + 60*j + 13 = -7*d for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/28, 2\/5, 1960.\nAnswer: -3\/28, 2\/5, 1960","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 14*a**6 - 4*a**3 - 15*a**2 - 4. Let d(t) = 13*t**6 - 3*t**3 - 14*t**2 - 3. Let r(g) = -4*d(g) + 3*f(g). Find the third derivative of r(o) wrt o.\nAnswer: -1200*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + d = 10, -1004 = -5*m - 5*d - 974 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15704 and -3.\nAnswer: 47112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/3 in -2\/7, -3, -0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -272*l - 1327. List the prime factors of u(-58).\nAnswer: 14449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53777.\nAnswer: 53777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 times 9.4\nAnswer: 7.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1661 is divided by 149?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 118, 181, 242, 301, 358?\nAnswer: 413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1391021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4778 + 7609. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/139 - -147\/556. Sort 6, -3, c, -5\/4 in descending order.\nAnswer: 6, c, -5\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 10\/8991 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 115, 119, 137, 175, 239, 335, 469, 647?\nAnswer: 875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y - 4*y + 0*y - 7*y.\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 divided by 284247?\nAnswer: 31\/284247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w + 2*w**3 - 3*w**3 - 5*w + w**3 - 4*w**3 + w**3 + (-w + 0*w + 3*w)*(-4*w**2 + 2*w**2 + 0*w**2) + 2*w**3 + 3*w - 3*w.\nAnswer: -5*w**3 - 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 711*s - 749*s - 14 = 24 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 27*r**3 + 2*r - 1. Let l(d) = 190*d**3 - 22*d**2 - d - 182. Let n(h) = -l(h) + 7*o(h). Calculate n(23).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k + j + 1765 - 1777, -8*j = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -55329 (base 15) to base 3\nAnswer: -111202100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -230.5 and 769.\nAnswer: -177254.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22297705?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 5) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1558*t + 1554*t = 6*l + 82, -70 = 5*t + 5*l for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10237651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 6*c + 2. Let k(j) = j**3 + 4*j**2 - 5*j - 6. Let v be k(-4). Suppose -3*h - v = 1. Determine m(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -c**4\/12 - 4*c + 6. Let u(i) be the first derivative of b(i). Let r(j) = -2*j - 6. Calculate r(u(g)).\nAnswer: 2*g**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 0, -10.9, 0.04, -1?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/3 - -19\/21. Suppose 15*o - 23 - 7 = 0. Let 4\/7*v**o - g*v**4 + 2\/7*v**5 + 0*v**3 - 2\/7*v + 0 = 0. Calculate v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 477550 = -3037226. Let v be ((-12)\/(-14))\/((-1)\/m). Let d = v + 5992. What is d rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 3, x: 1, h: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -59, 4\/7, 0, 934?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*r = r - 5824. Is r greater than or equal to 182?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = u - 2*u - 180, -4*u = 3*t - 131. Suppose -158 = 3*v - 239. What is the remainder when t is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-3)*-9*(-3)\/(-9). What is the closest to c in -0.4, -0.2, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 - 16698*g**2 - 5447055*g + 5463750.\nAnswer: 3*(g - 5875)*(g - 1)*(g + 310)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 42?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 2 - (3 - 5) - 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 2492083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 0*j - 7*j + 3 + 3 = 0, -54*q = -51*q - 9*j + 36 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/4 of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**4 - a**4 - 6 + 2 + 2*a + 3*a**4 - 2*a + (-a**2 - a**3 + a**2)*(2*a + 3*a - 4*a) + (0*a - 2*a + a)*(3*a**3 - a**3 - 4*a**3).\nAnswer: 3*a**4 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 22*i - 54. Let x be u(-19). Which is the closest to x? (a) 0.11 (b) 5 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v + 1. Let o(l) = 7*l + 9. Let g(r) = -4*a(r) - o(r). Does 17 divide g(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 - 133674?\nAnswer: -133663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1135 - 1614. Let s = -368 - m. Does 41 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 0) + (-51 - -57)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = t - 19 - 59, -p = 4*t - 312. Let b be 12\/t + (-441)\/(-91). Solve -5*u - 5*n = -25, 0 = b*u + n - 2*n - 7 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-6)*2*24\/112.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 25 = 4*d. Calculate the remainder when d is divided by (14\/(-3))\/(2\/(-6)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 26312414, 52624823, 78937232?\n\"Answer: 26312409*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -31*h + 81. Let y be z(-10). Let a = y - 168. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/2259 and -71\/483.\nAnswer: 363699","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 639 is divided by 30?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*u**2 + 554*u**5 + 13*u + 958*u**4 + 1057*u**4 - 133*u**5 - 2015*u**4 wrt u?\nAnswer: 8420*u**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*v = 42*v - 2*c + 13, 0 = -3*v + 6*c - 3*c - 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.5, -0.2, 12\/11, 3\/5, -2, -13\/218?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -91\/81540 or 0.1?\nAnswer: -91\/81540","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 308166334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -y**3\/3 + 7. Let a(i) = -7*i. Give a(u(b)).\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-8 - 1 - -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of -k**5\/30 + k**4\/12 + 2*k**3\/3 + 8*k. Let a(g) be the second derivative of b(g). What is the first derivative of a(f) wrt f?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -11. Is 6 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -991 to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/5*a**4 + 0 + 4\/5*a**3 - 4\/5*a + 2\/5*a**2 = 0. What is a?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80693635 and 220.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v**2 - 5*v**2 - 9*v**2 + 24*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 94\/30 - 0 - (-70)\/(-525). Let p(x) be the third derivative of 0*x - 1\/4*x**4 - 2\/3*x**r + 0 + 1\/60*x**6 + 0*x**5 + x**2. Suppose p(v) = 0. Calculate v.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4 = -2*q, x + 67 = q + 69. Let f(j) be the third derivative of 5\/6*j**4 - 4\/3*j**3 + 8*j**2 + 0*j - 1\/24*j**6 + 1\/30*j**5 + x. Solve f(w) = 0 for w.\nAnswer: -2, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1022789204.3 rounded to the nearest 10000?\nAnswer: -1022790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 393091698 is divided by 148.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6201\/265592 - 135282316333\/50196888. Let j = -2695 - r. Is j >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(-1 + 3 + -1). Let p(a) = -a - 12. Let f be p(-12). Suppose -g = -f - o. Solve -u = -g*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -2*z, 15503*z - 15501*z - 8 = 3*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 810421?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -0.4, 153.8, -0.05, 2, 1\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 16 = 5*t, -4*y - 7*t = -5*t + 16. Let m be ((-64)\/(-48))\/(y\/(-9)). Factor -10\/9*i**3 + 2\/9*i**m + 0 - 8\/9*i + 16\/9*i**2.\nAnswer: 2*i*(i - 2)**2*(i - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c + 2 - 2 + c**3 + 5*c**2 + 0*c**3. Let s(a) = a**2 + a. Suppose 3*g - 30 = 2*h, -3*h + 14 + 26 = 4*g. What is g*s(v) - 2*f(v)?\nAnswer: -2*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-4))**(-4\/7)*(g\/(g\/g**7))**(8\/3))**(-4) assuming g is positive.\nAnswer: g**(-1760\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -516, -1406, -2658, -4278, -6272, -8646, -11406, -14558?\n\"Answer: -a**3 - 175*a**2 - 358*a + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -146093, -146090, -146087, -146084, -146081?\nAnswer: -146078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3.9849 times -0.71\nAnswer: -2.829279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r + 10. Determine h(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 359*b**2 - 30 + 61 - 12 + 4*b - 18 in the form t + z*b + s*b**2 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3148 + 30*h**3 + 3151 + 77*h + 28*h**3 - 53*h**3 to the form w*h**3 + t + x*h + p*h**2 and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 330 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22119921 divided by 279999.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**4 + 476*r**3 + 1974*r**2 - 9224*r + 6776 = 0. Calculate r.\nAnswer: -7, 1, 2, 242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 43*r**2 - 164*r - 38. Is 8 a factor of g(38)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6188 = -0*b + 17*b. Is b a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 10 = 4*p. Let s(l) = 3*l + 12. Let z(q) = q + 4. Let w(j) = p*s(j) + 17*z(j). Let k be w(0). Sort -2, -5, k in increasing order.\nAnswer: -5, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-56)\/(-5) + (-2)\/10. Suppose a + 115 = 3*j. Let b be 12\/j + 159600004\/(-14). What is b rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -20182504?\nAnswer: -1\/20182504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 656 - 655. Suppose 4*l - 468 = 324. Let y = 1388\/7 - l. Which is the nearest to 1\/5? (a) y (b) 0.5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10686 - -60798. What is the ten thousands digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 81013, 162030, 243047, 324064?\n\"Answer: 81017*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 5*n**2 - 7*n + 1. Let z(y) = y**3 - 6*y**2 + 5*y - 6. Let x be z(5). What are the prime factors of r(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07298 rounded to three decimal places?\nAnswer: 0.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 12*r**2 + 5*r - 12. Let s be a(-9). Suppose -s = -2*t + 78. Suppose 0 = -4*f + t + 56. Calculate the remainder when f is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (122*40\/692960)\/(-1*(-1)\/4)\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 - 7.8. What is the nearest to n in 3, -1, -1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 1578756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 84755 divided by 5?\nAnswer: 16951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 22\/(-10) + 8736\/2880. Sort o, -2\/17, 2\/11, -37 in decreasing order.\nAnswer: o, 2\/11, -2\/17, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d3d4a - -652?\nAnswer: 1d459c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2727829480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30339.393 * 3.\nAnswer: 91018.179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/6)\/(42\/56)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 259 and 26830846.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 9:58 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -195\/4*n**3 + 3\/4*n**4 + 0*n**2 + 0 + 0*n = 0.\nAnswer: 0, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = 3*w + 3*q, 7*w - q + 112 = 62 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*w + w - 2*w)*(2*w + 5 - 5)*(18*w**2 + 22*w**2 - 2*w**2) to m + b*w + j*w**2 + l*w**4 + f*w**3 and give l.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5916469?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68 - 68. Solve g = -4*h + u - 3 - 3, 2*h = -2*u - 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 14*l + 13. Let x be o(-10). Let j(v) = -2*v - 11. Let u be j(14). Let g = x - u. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 1 = -2. Let c(v) = -5*v**3. Let r be c(b). List the prime factors of r\/(2\/4 + -1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236*2*4\/16 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g - 6*g = 18 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169163 is divided by 16035?\nAnswer: 8813","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from ulrcbcuz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 7) to base 13\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + (9 - -2) - -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 14*b**2 + 0*b**3 - b**3 + 14 - 24*b + 12*b. Suppose 78 = y + 5*y. Is p(y) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2212011011 (base 3) in base 13?\nAnswer: 1c7a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2770835305.\nAnswer: 5, 7, 29, 2729887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001661 rounded to 7 dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18351 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5*z**3 - 2. Let p(k) = -k**3. Suppose 7*b - 62 = -41. Suppose -b*y - w = 10, y - 10 = 8*w - 5*w. Calculate y*p(d) - t(d).\nAnswer: -3*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5888011?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Expand (133 - 88 + 365)*(0*p - p + 2*p).\nAnswer: 410*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58*s - 127*s + 67*s + 40 to o*s + i and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 4:24 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**5 + 123*g**4 + 1215*g**3 + 3585*g**2 + 4002*g + 1512 = 0 for g.\nAnswer: -28, -9, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48 - 335\/7. Suppose 2*r - 2 = r. Factor -a*o**r + 0*o - 1\/7*o**4 + 0 - 2\/7*o**3.\nAnswer: -o**2*(o + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**4 - 3*h**4 + 3*h**4 + (-3*h + 5*h + 0*h)*(-38*h**2 - 29*h**2 + 2*h**2)*(0*h + 5*h - 2*h) to q + u*h + c*h**3 + z*h**4 + y*h**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6.43 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 + -23. Suppose -4*x + o - 77 = -9*x, 0 = x + o - p. What is the highest common divisor of 48 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2350891110?\nAnswer: 2, 3, 5, 78363037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 11:34 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180 divided by 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7644 (base 9) in base 13?\nAnswer: -2740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**2 + 15*k - 18 = 0. Calculate k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -67 + -2. Let f = v - -76. Solve -4*c + f = 11 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 9 = -c. Suppose -6*w + c*w = -9. Suppose 5*t + 2*m - 5 = 268, 2*t = w*m + 113. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -94343, -188671, -282965, -377219, -471427?\n\"Answer: z**3 + 11*z**2 - 94368*z + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*n + 31053 = 0, 5*z + 256*n - 251*n - 77570 = 0. List the prime factors of z.\nAnswer: 3, 7, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*33\/(-88)*-32*26\/(-24)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -4*s + 24, -4*s + 35 = s + 5*l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 + 32. Which is smaller: -0.7 or c?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -4) + -3 + -11 - -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 155.3642 decades in centuries?\nAnswer: 15.53642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 7*j**2 - 26*j - 186. Let r be g(-6). Solve 8*q - r = 7*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 8*g + 250. Let p = g + 92. What is the remainder when p is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3 + 35*z**2 + 30*z.\nAnswer: 5*z*(z + 1)*(z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/15*140\/63.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*v - 395 + 36 = 1516 + 309 for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -365 + 421 = 8*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6\/((6\/(-36))\/(-1)) is divided by (-6 - -9 - -2) + 0 + 15.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 24*b**2 - 23*b + 2. Let k be 621\/(-18)*(-8)\/(-12). Let m be i(k). Solve -m*j + s = 1, -3*j + 5*s = -7*j - 23 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -392*g**3 + 1833*g**3 + 548*g**3.\nAnswer: 1989*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5*o - 111 = 0, -2*x - 3*o = -37 - 37. Suppose 4*c - a = 159, -c + 2*a + x = 6. List the prime factors of c.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2203 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/6 (b) -12 (c) 5 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 20445582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9577 is divided by 68.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(396) + sqrt(396) + 2)*6*-2)**2*-2 + 2.\nAnswer: -457340 - 13824*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 156953567 to the power of 1\/3, to the nearest integer?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50 - 42 + 44)*(-110 + 3*b + 110).\nAnswer: 156*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20027505?\nAnswer: 3, 5, 1335167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 148 - 37. Suppose -3*a = -3*n + 81, 4*n + 0*n - 3*a = r. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 18 = -h. Let z be 2\/(((-4)\/h)\/(-1)). Sort z, -2, 2 in descending order.\nAnswer: z, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8102788 by 4.\nAnswer: -2025697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - (-2)\/(-8))*(4 + -8). Suppose -m*j + 192 = 17. Is j a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -12. Let k = -1 - q. Let t = -0.44 + 0.04. Put k, t, -0.2 in ascending order.\nAnswer: t, -0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 9) to base 13.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40668 - 40663. Suppose 2*z - 17 + 3 = 0. Let o be (1\/(-3))\/((-1)\/9). Solve -l*u + z = -o for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 316624 and 968.\nAnswer: 3482864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1935 and 1290?\nAnswer: 3870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 11 = -4*l, l + 83*k - 41*k = 37*k + 36 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 170*q**6 - 40*q**3 + 33024*q**2 wrt q.\nAnswer: 20400*q**3 - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of 33*q**4\/8 - 71*q**3\/6 - 61*q**2. What is the first derivative of r(c) wrt c?\nAnswer: 99","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39 - 36. Suppose -128 + 11 = -y*a. Does 18 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2, -23, -64, -125?\n\"Answer: -10*q**2 + 9*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8606300 a multiple of 309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29575*c**5 - 108*c**4 - 35*c**2 - 5196*c + 4 wrt c?\nAnswer: 1774500*c**2 - 2592*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**3 + 13*a**2 - 3*a + 13. Let t = -37 - -30. Let r be n(t). Calculate the common denominator of 3\/(r\/(-5)) + 85\/12 and 29\/98.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 112 - 117. What is the closest to -0.3 in 0, -0.5, a?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k**(-2\/19)\/k)\/k*k)\/((k\/((((k*(k**(-1\/7)*k)\/k)\/k)\/k)\/k))\/k))\/(k\/(k\/(k\/k**(-2\/5)))*k)**(-7) assuming k is positive.\nAnswer: k**(9677\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 13535, 54252, 122133, 217172, 339363, 488700, 665177, 868788?\n\"Answer: -g**3 + 13588*g**2 - 40*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1131 or 0.0398?\nAnswer: 1131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-59)\/((-354)\/104))\/((-1)\/(-24)) and 1184?\nAnswer: 15392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(4\/(-1) + 2). Suppose 1 = 2*p + r, -3*p - r + 2*r - 1 = 0. Solve t = -5*y - x - 8, p = -4*y - y + x - 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d**(-3\/4)\/d))*d*d\/(d*d*(d*d**(-11))\/d))\/(d\/d**0)**(-2\/35) assuming d is positive.\nAnswer: d**(1303\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -442 + 451.28. Let v = -11.3 + t. Let q = v - -0.02. What is the second biggest value in q, -3, 3\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 205 = -2*t, 0 = 5*r - 2*t - 0*t - 185. List the prime factors of r.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 994511*u**4 - 5186*u - 16.\nAnswer: 11934132*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16 + -13732681?\nAnswer: -13732707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.881208 millimeters in kilometers?\nAnswer: 0.000003881208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 1. Let r be (28\/6 - 4)\/(4\/6). Let g(k) = -10*k - 3. Let v(a) = r*g(a) - 2*i(a). List the prime factors of v(9).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2563191 to the nearest integer?\nAnswer: 1601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvwwvwlwwwv. Give prob of sequence vv.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174 + 714 - 18*f - 178 - 179 - 183.\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 19*n**2 - 20*n + 38. Let o be h(18). Let b(v) = -2*v**2 + 1. Give b(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -969.36 - -628.25. Let w = 341 + z. Round w to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 - 16*v - 10. Calculate the lowest common multiple of 20 and n(9).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.42 + 0.58. Let w = -4 + 6. Let m be -2*w\/(-3) - 2. Which is the closest to -1? (a) 1 (b) m (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 0.5 (c) 3 (d) -0.31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*f**2 - 2\/3*f**3 - 2\/3*f**4 + 0 - 2\/9*f**5 + 0*f.\nAnswer: -2*f**2*(f + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20022102 (base 3) to base 16\nAnswer: -11f9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 326 (base 7) to base 3.\nAnswer: 20012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 542428983\/368 - 1473996. Let l = -75\/23 - j. Let n = l - 27\/16. Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 3\/4, -3, -44.\nAnswer: -44, -3, 4\/7, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*r + 0)*(71 - 446 - 935 + 165).\nAnswer: 2290*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 6*s**2 - 8*s - 7. Let q = -15 - -8. Let x be j(q). Suppose -5*l = 5*n - 60, 8*n - 3*n - 15 = x. What is the remainder when 25 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 2*w + 1385 = 1377, -3*i - 6*w = -24 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 228\/((-140)\/(-8) - 1) + -14.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33 - -300344?\nAnswer: 300432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 4, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 60*w**2 + 60*w**2 + w**4 - 4 - 2*w + w**3 as c*w**3 + d*w**4 + y + v*w + q*w**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m - 7*m + 4*m)*(0*m - 2*m + 5*m)*(0*m**2 + m**2 + 0*m**2) - 3*m**4 + m**4 + 4*m**4 in the form q*m**2 + s + c*m**4 + r*m**3 + k*m and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 243 + -83. Let m = d + -67. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 75 - 106. Let o = r - -10. Let p = -13 - o. 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 - 2 + 6 + (-2 + 0 + 4)*(1 + 4 + 0))*(3*l**3 + l**4 - 3*l**3).\nAnswer: 11*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zjuz when four letters picked without replacement from {u: 2, j: 2, z: 10}.\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*g - 32*g - 31*g - 25*g - 26*g.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 18\/13, 1, -10876, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 7 (b) -2.715 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4145 + 18918?\nAnswer: 23063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/10)\/((-2)\/(-135)). Suppose -f = d + 2*d. Let k = -19 - d. What is the greatest common divisor of k and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 123059 times 0.003\nAnswer: 369.177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3806?\nAnswer: 2, 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 22*s - 4 - 4*s**2 + 3*s**2 - 95*s + 41 - s**2. What is the hundreds digit of f(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42031, -84066, -126101, -168136, -210171?\nAnswer: -252206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, 0.4, 0.01, -0.9?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.5 (b) -7 (c) -4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -178, -217, -318, -511, -826, -1293, -1942, -2803?\n\"Answer: -5*w**3 - w**2 - w - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(((-28)\/(-6))\/(24\/(-18))). Factor n*x + 2\/7*x**2 + 0.\nAnswer: 2*x*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, n: 1, a: 1, q: 1, k: 3, z: 3}. Give prob of sequence zdkn.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -75829, -75820, -75811?\n\"Answer: 9*w - 75838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 5*b + 4. Let l be c(4). Suppose -y - 39 = 7*a - 2*a, a + 12 = 4*y. Let u be (-108)\/8*a\/6. Solve 4*s - u + 6 = l for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -22, 2\/17, -10 in decreasing order.\nAnswer: 0.3, 2\/17, -10, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -6812?\nAnswer: 6813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2*i - 2)*(-2*i**3 - 1 + 1) - 25268*i**2 + 1434 + 2*i**4 + 25268*i**2 to k*i**4 + f*i + d*i**2 + o*i**3 + q and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, o: 3, v: 1, j: 3, z: 5, p: 1}. What is prob of sequence ovji?\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(85)*2 - sqrt(85) - sqrt(85))*5 + sqrt(85) + sqrt(85)))\/(3*(sqrt(320) - sqrt(20))).\nAnswer: 4*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 362529 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 40*x + 2006. Give o(-50).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5 + (sqrt(7) + sqrt(63)\/sqrt(9))**2).\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n - 4*n = 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -98823 or -98783?\nAnswer: -98823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-44)\/(-7) - 4*(-2)\/(-28). Suppose -13*q + y = -11*q. Suppose 3*h - f - q*f = 118, h + f = 30. What is the remainder when h is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.02089 - 2.02089. Which is the second smallest value? (a) n (b) 0 (c) 47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5*j - 49 = 34, -2*f = 3*j - 43. Let m = f + 3. What is the highest common factor of m and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*g + 4*m, -2*g + 2*m + 4 = 6*m. Suppose g*u = 7*u. Solve -i + 3 + 0 = u for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3973840 or 3973867?\nAnswer: 3973867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -699 + 704. Suppose 3*g = q + 2*g - 1, -3*q + a*g + 5 = 0. Solve 4*k + 5*i = -41, -4*k - 4*i = -q*k + 36 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 6 - (-84 - -76)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((969\/85)\/(-19)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -c**6\/120 + c**5\/12 + c**4\/8 + 2*c**3 - 5*c**2. Let o be l(5). Suppose o = -3*h + 39. Solve h + 1 = -t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1077317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/25 of a century?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 greater than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.04141 to 2 decimal places.\nAnswer: 4.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b**3 + 2*b**2 - 2*b + 1. Let n be q(1). Suppose 5*r - 70 = -2*p, 4*r + p = 6*p + 23. Solve n = 4*w - r for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.4639469 - 0.464. What is c rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**2. Let h be 1\/4 + (-8)\/32. Let f(o) be the second derivative of -2*o + 0 + h*o**2 - 1\/2*o**3. What is f(i(d))?\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 343986*l**3 + 32170*l**3 + 375277*l**3.\nAnswer: 751433*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001110011 (base 2) to base 7.\nAnswer: 3215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -143.21 in ascending order.\nAnswer: -143.21, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 88?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/45 of a hour in seconds?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ktkv when four letters picked without replacement from kktvkttvvttvvtv?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 672 = -5*j. What is the remainder when j is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**4 - x**4 + 0*x**4)*(-3 - 1 + 3) - x**4 - 2 + 2 - 75*x**4 + 118*x**4 + 133*x**4.\nAnswer: 177*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (78 - 76 + 90)*(5*k - 2*k + k).\nAnswer: 368*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9349769297 and -2.\nAnswer: 9349769295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 1:45 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 127 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 11*y**2. Let v(o) = o**2 - 10. Let j(b) = -90*b**2 + 450. Let a(u) = j(u) + 45*v(u). Determine a(m(s)).\nAnswer: -5445*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 159\/(-318)*(-5534)\/(-1). Round c to the nearest one hundred.\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -5*y + 274250, -26*y - 5*g = -22*y - 219429. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24126345 by -1608423.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 743517533 divided by 121?\nAnswer: 6144773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/((((f\/f**3*f*f)\/f)\/f)\/f))*f)\/f)\/f*f**(-1\/3) assuming f is positive.\nAnswer: f**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 17)*(-93*n + 27*n + 11*n)*(n - 2*n - n) in the form q*n + h + b*n**2 and give b.\nAnswer: -1870","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, z: 1, j: 1, p: 2, c: 1, y: 1}. Give prob of picking 1 z and 1 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 5*k**4 - 20*k**3 - 35*k**2 + 110*k + 120 = 0?\nAnswer: -2, -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -220048 divided by -4\nAnswer: 55012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -366 = 798*f - 920*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 8*u + 2. Let y be t(9). Let o = y - 5. What is the units digit of (8\/o)\/((-2)\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 80939222, 161878446, 242817672, 323756900, 404696130, 485635362, 566574596?\n\"Answer: o**2 + 80939221*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 9*y**3 - 3*y**2 - 4*y - 4. Let w be v(-2). Let s = 140 - w. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4*((-12)\/14)\/(117\/1092).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ne when two letters picked without replacement from ererkhono?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**3 - 4*q - 26. Let d(s) = -4*s**3 - 7*s - 53. Give 4*d(p) - 7*r(p).\nAnswer: -2*p**3 - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 135 and 27915?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2 - 2*o - 1. Let r be p(2). Let s(i) be the third derivative of -i**5\/30 + i**4\/6 - i**3\/3 + 660*i**2 - 2*i. Determine s(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 540\/211 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -8530878?\nAnswer: 8530876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -492.2 - -492. Which is the closest to 2? (a) -2\/5 (b) f (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -159.5 - -161. Let y = 61 - 63. What is the smallest value in n, 0, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2041, -4087, -6119, -8137, -10141, -12131, -14107?\n\"Answer: 7*b**2 - 2067*b + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2270660.99 rounded to the nearest one hundred?\nAnswer: -2270700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-65)\/(-52))\/((-6)\/96)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -6*w**3 + 4*w**2 + 4*w - 1. Let b(r) = -r**3 + r. Let j(p) = -3*p**3 + 5*p**2 + p - 1. Let v(y) = 4*b(y) + j(y). Calculate 5*n(l) - 4*v(l).\nAnswer: -2*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 5*p + 7, -k + 4*p + 13 - 11 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5*g = 2. Let i(q) be the second derivative of q + 1\/63*q**7 + 1\/45*q**6 + 0 + 0*q**g - 1\/30*q**5 + 0*q**3 - 1\/18*q**4. Solve i(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 14, l: 1}. What is prob of sequence jl?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22936.0084 + 22915. Let t = 21 + r. Round t to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 4*m**2 + 9*m + 4. Let s be (3*5\/3)\/1. What is the remainder when k(s) is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 3.14185.\nAnswer: 1.25674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (5 - 4) - -49 - -2. Suppose z - d = 321. What are the prime factors of z?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 847*v*x**4 - 2214*v*x**2 - x**6 wrt x?\nAnswer: 20328*v*x - 120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -2*f - 24, -3 = 2*z + f - 9. Let m(p) = p**2 + 5*p - 5. Let l be m(-6). Suppose 2*a = l + 5. Calculate the remainder when z is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11744, 26, -2, 2, -20 in descending order.\nAnswer: 11744, 26, 2, -2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 174 - -4343. What are the prime factors of p?\nAnswer: 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 15) to base 12\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g**2 - 14*g. Let b be k(-4). List the prime factors of 150 - (-8)\/(b\/(-3)).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1885\/561 not equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 204 - 213. Let j(x) = -x**3 + 6*x**2 - 7*x + 1. Let f be j(5). Is g at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 387.09 - 387. Let v = 0.09 - -0.2. Let x = v + 0.01. What is the third smallest value in -2\/5, x, f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 1:00 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-100)\/140*(-175)\/25*2\/((-20)\/114)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.076 + -6.3972\nAnswer: -6.4732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 - 4 = g for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 + -6 + -16)*-19 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0305 + 0.03050369. What is p rounded to seven dps?\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -8*f. Let g be (-8 + 8)*(-2)\/(-4). Let q(j) be the first derivative of g + 2*j**2 - 1 + 6 - j**2. What is q(w(i))?\nAnswer: -16*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (((-504)\/(-105))\/24)\/((30\/1700)\/3)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**11*a)\/(a\/a**(1\/10)))\/((a**(2\/13)*a)\/(a**12\/a)) assuming a is positive.\nAnswer: a**(2853\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41339, 41341, 41343, 41345?\nAnswer: 41347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4287427 from -226.\nAnswer: -4287653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 245586 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55230.\nAnswer: 2, 3, 5, 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 23, 57, 87, 113, 135, 153, 167?\n\"Answer: -2*w**2 + 40*w - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9093 is divided by 691?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 f when three letters picked without replacement from eemeammhnmmfaemmffef.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36435 + -33978. What is the greatest common divisor of 364 and x?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0 = 3. Suppose -z*y - 95 = -3*t + 349, -t + 146 = -3*y. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*s**2*t - 565*s**2 - 65*s*t wrt t?\nAnswer: 7*s**2 - 65*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -1) + (29 - (15 + -127 + (10 - 7)))?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - -5)*(4 + -5). What is the tens digit of ((-6)\/w)\/((-10)\/(-675))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 25*t + 62. Calculate j(14).\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2651, 5375, 8085, 10775, 13439, 16071, 18665, 21215?\nAnswer: 23715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2835 + 2844. Let r(p) = 5*p**2 + 9*p - 36. Let o(h) = h**2 + 2*h - 9. Give n*o(w) - 2*r(w).\nAnswer: -w**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 times 24\nAnswer: -19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, w: 6, f: 1, i: 1, s: 5, l: 1}. Give prob of picking 3 w.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 1\/3, 0.46, -0.3, 49\/2 in increasing order.\nAnswer: -0.3, 1\/3, 0.46, 49\/2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30.3 - -35. Let t = h - -0.3. What is the nearest to 0.1 in t, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*w + 2342 = -124720. What are the prime factors of w?\nAnswer: 13, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -2\/9, 22, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 12. Which is smaller: p or 8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, w: 3, m: 2, s: 8}. Give prob of picking 2 w.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -88505*i**2 + 3*i + 2615 wrt i?\nAnswer: -177010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)*5*3 + -5*(sqrt(14) - sqrt(686)))\/(sqrt(784)\/sqrt(8) + (sqrt(200) + sqrt(2))*1).\nAnswer: 5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2966844820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 340? (a) -3 (b) -19.3 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of 9\/2*l**2 + 0 - 12*l + 1\/2*l**4 + 0*l**3 + 1\/20*l**5. Is 3 a factor of v(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**2 - 20*s + 35. Let i be u(8). Suppose i*j + 3*r - 4191 = 0, 4*j + 7*r - 5585 = 4*r. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43 + 194279.21.\nAnswer: 194322.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1641551.\nAnswer: 73, 113, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/120 and -151\/156.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g - 15. Let i(q) = 5599*q + 2. What is i(b(z))?\nAnswer: 11198*z - 83983","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5610, -5595, -5596, -5619, -5670, -5755?\n\"Answer: -w**3 - 2*w**2 + 28*w - 5635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 276 = 316*u - 18050 + 3790 for u.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 538 = -2*w - 5*f, 860 = 5*w + f. Calculate the remainder when w is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5697661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130870955?\nAnswer: 5, 19, 1377589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1005 - 0.27722.\nAnswer: 1004.72278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sun when three letters picked without replacement from {s: 1, u: 2, n: 1, z: 2, a: 2, e: 1}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -43*t**5 - 41*t**5 + 84*t**5 + 212*t**2 - 238*t**6 - 241*t**6 wrt t.\nAnswer: -57480*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen halves of a century?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 4*w**2 - 3*w - 2. Suppose -2*f = 4, -2*p = -4*f + 6*f + 12. Give a(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.4 + 2.3. Suppose -15*y = 82*y + 42098. Is y greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 53*c - 6570 + 6411 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 62 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*f - 6, -6 + 1 = p. What is the remainder when -2*(1 - (-15)\/(-10)) - f is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12525 - -778?\nAnswer: 13303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-40605)\/(-10)*(-20)\/(-15). Suppose 43*j - 41*j = k. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20133517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 + 0.2. Let h be 56\/(-8) - 8 - 1869\/(-126). What is the biggest value in 5, h, x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 4*o**2 + 2*o - 1. Let z(g) = 3*g**3 + 12*g**2 + 7*g - 4. Determine 7*a(v) - 2*z(v).\nAnswer: v**3 + 4*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -1\/3, 20?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 4*z + 5. Let l be c(4). Let q = 3 - l. Calculate the remainder when 25 is divided by q\/(-6) - 26\/(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3937 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s + 3. Let b(w) = 2*w**3 + 25*w**2 + 12*w + 6. Let c be b(-12). Let t(y) = -y - 3. What is c*f(a) + 5*t(a)?\nAnswer: a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*j = -54, -4*s + j - 85 = 131. Let f = 54 + s. Put 2, f, 5 in ascending order.\nAnswer: f, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -112.73091 or -4.1?\nAnswer: -112.73091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -226, -918, -2666, -5956, -11274, -19106, -29938, -44256?\nAnswer: -62546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**3 + 35696042*y**2 - 35696042*y**2.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1584 + -593. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-7))\/s**(-2))\/((s\/(s**(-1\/15)*s))\/s**(-1)) assuming s is positive.\nAnswer: s**(134\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i*i*((i**4*i)\/i)\/i*i)\/i**(-1\/5))**(-1\/14) assuming i is positive.\nAnswer: i**(-41\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.84 + -0.34. Which is the fourth biggest value? (a) -30 (b) 2 (c) -3 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -233*r - 22104. Give c(-94).\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -258*j**3 + 2*j**2 - 311514*j wrt j?\nAnswer: -1548*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*k*w**2 + 723*k - 77*w**3 + w + 1 wrt w.\nAnswer: 12*k*w - 231*w**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 10) to base 6.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7\/2, -4, 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2*t + 744501 = 0, -148908 = -183*l + 182*l - 3*t. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18141 to the power of 1\/2, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00462001 rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**4\/7 - 20382*s**3\/7 + 81418*s**2\/7 + 794478*s\/7 + 1100196\/7 = 0 for s.\nAnswer: -3, -2, 9, 10187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -p**6\/360 + p**5\/120 - p**4\/12 + 2*p**3\/3 - 4*p**2. Let d(w) be the first derivative of g(w). Calculate d(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 3*g - 16. Let i be q(-6). Let k(z) = 27 + 8 - z**i + 2 + 10*z. Calculate k(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005939 to 4 dps.\nAnswer: -0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 5*f**3 + 425*f**2 - 2250*f = 0.\nAnswer: -90, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2 - 4*n**3 - 2*n + 2*n**2 - 5*n**2 + 3*n**3. Suppose -7*l - 25 = -2*l, 2*t = 3*l + 945. Suppose 462*i = t*i + 12. Determine a(i).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/1801245 and 26\/621?\nAnswer: 16211205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7856109 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 334834 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r + 3*r - 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47*f**3 - 8*f**3 - 19*f**3)*(2*f**2 - 3*f**2 + 2*f**2) + (2*f**4 - 1 + 1)*(-2*f + 2*f + 2*f) - 2*f**5 + f**4 - f**4 + 0*f**5 - 2*f**5 + f**5.\nAnswer: 21*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 3. Let w(x) = 2*x - 33. Let v be w(18). Suppose 2\/3*l**4 + 4\/3*l**v - l**5 - 2\/3*l**m - 1\/3*l + 0 = 0. Calculate l.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -11\/2*w**2 - 2 - 2\/3*w**4 - 1\/20*w**5 - 5*w - 1\/6*w**3. Calculate c(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(70))\/sqrt(10) - sqrt(175)*5.\nAnswer: -26*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + -1 + (1 - 0). Suppose 6*o + 10 = o, -x*f + 5*o = -26. Let m(a) = -a**2 - 6*a - 4. Let k be m(-4). Calculate the greatest common divisor of f and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 66362196*i**3 + 85678208?\nAnswer: 199086588*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - -4)\/(8\/16 + 0). Suppose -3*t + 6 = -0*t. Solve 0 = 2*a + t*s - 6, b*a - 1 - 11 = s for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 23*d**2 - 52*d - 41. What is the smallest common multiple of c(-25) and 356?\nAnswer: 3204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006496 to five dps.\nAnswer: -0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -95*z + 107*z. Sort -4, -20, z in decreasing order.\nAnswer: z, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/4 in 0, -0.1, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2 - 59188*b - 414120.\nAnswer: -4*(b + 7)*(b + 14790)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7\/2 of a millennium?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 57307730 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26508?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 44353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 47 + 343*y**3 - 213 - 2*y + 0*y + 59 + 338*y**3 wrt y?\nAnswer: 2043*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 12*k**5 + 3*k**4 + 3*k**2 - 16*k - 3. Let z(i) = -i**5 - i**4 - i**2 + 1. Let p(d) = -g(d) - 3*z(d). What is the second derivative of p(m) wrt m?\nAnswer: -180*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (152 - 152) + (-6 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/(2520\/16))\/(1\/3)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 88*t**2 - 13*t**2 - 1213*t + 0.\nAnswer: 75*t**2 - 1213*t - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 4\/45361?\nAnswer: 4\/45361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 62 (base 13) to base 3\nAnswer: 2222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of a**4\/12 - a**3\/2 + a. Let y(v) be the second derivative of t(v). Let q(w) = w + 3. Calculate -2*q(r) + 3*y(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 2:56 PM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 17 = -4*n, 21*n - 13728*j = -13730*j + 53 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6314 - -9368. What is the hundreds digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7\/50 - -121\/150. Let j(d) be the second derivative of 1\/3*d**4 - l*d**3 + 0 + 2*d + 0*d**2. What is the second derivative of j(p) wrt p?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3)*(460190*r - 2 - r**3 - 460190*r + 80*r**2).\nAnswer: 3*r**3 - 240*r**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k = -3*c + 13*k + 49, 4*k = 4*c - 112. Solve 0 = 43*u - 66*u + c for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3736, -7425, -11114, -14803?\nAnswer: -18492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.529 and -512?\nAnswer: -270.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2777029918 - 406.2.\nAnswer: -2777030324.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(((-204)\/(-986))\/((-15)\/(-10)))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52353 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6309704 + 6309704 - 175*m**2.\nAnswer: -175*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4800731 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vobpbbbp. What is prob of picking 1 v and 1 p?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 35 = -5*i + 2*h, 0 = 2*i + 2*h + 4. Let q = 6 - i. Suppose -2*x + q*x = 3*z + 14, 0 = -3*x + 3*z + 30. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -4, 92, -8, -0.2, -2\/9, 0.592?\nAnswer: 0.592","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dlfdjtjmt. Give prob of sequence dtl.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 22760 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -4*z**3 + 17*z**2 + 16*z - 12. Let f be g(5). Is (-1 + -2)\/(f - 684280\/(-97756)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 657 = -112*l - 351, 3*u + 27 = -2*l for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 254.1 and 0.4.\nAnswer: 101.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -0.5 (c) -259 (d) 0.5 (e) 1.84\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wdwswqsswpwdswd. What is prob of picking 2 s and 1 w?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 1\/4 (c) 4\/5 (d) -0.299 (e) -1\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 8:57 AM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -10\/3 (b) 2 (c) 294\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 45 = 2*t - 47, 3*r + 13 = -t. Which is the nearest to 1? (a) r (b) -2 (c) 4\/5 (d) -0.133\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2667470 to the nearest integer?\nAnswer: 1633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 6*z**3 + 2*z**2 + 2. Suppose 4 = -7*p + 6*p. Let a(m) = -2 + 5*m**2 - 5*m**3 - m**2 - 5*m**2. Calculate p*a(r) - 3*i(r).\nAnswer: 2*r**3 - 2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/15)\/x)\/x**(2\/13)*x\/((x\/x**26)\/x)*x**8*x assuming x is positive.\nAnswer: x**(6821\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24961 <= 24959?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 7:43 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.8752961 millennia?\nAnswer: 875.2961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 66233.78 decades?\nAnswer: 6623.378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 36725 and -4.\nAnswer: 36721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1102221 (base 3) in base 13?\nAnswer: -62b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (sqrt(3564) + sqrt(44))**2 - 4*sqrt(1331))*-2.\nAnswer: 86*sqrt(11) + 8800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236*k + 3305 = 1 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 1441*i**2 - 7*i + 7. What is the thousands digit of s(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -2\/9, -8, 6.1, 2, 14?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 13) to base 8.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55472073.\nAnswer: 3, 18490691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -97\/18, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -23048 (base 10) in base 13?\nAnswer: -a64c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36828 and 2508?\nAnswer: 699732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*c - 2 = 26*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 820100\/1002885 - (-4)\/74. Let a(x) be the first derivative of -14\/13*x + 3\/26*x**4 - 27\/13*x**2 - i*x**3 - 4. What is q in a(q) = 0?\nAnswer: -1, -1\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15967527 and 30.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/10*(-10)\/14. Let g = 18 + -15.4. Let u = g - -0.4. Which is the nearest to p? (a) u (b) 4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3*n + 6*n**3 + 5*n - 9*n + 5*n**2 + n**3. Let d(x) = 10*x**3 - 3*x**3 + x**3 + 6*x**2 - 8*x. Determine -5*d(b) + 6*y(b).\nAnswer: 2*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = 10*u + 1. Let p(a) = -2*a**3 - 9*a**2 + 6. Let b(q) = -4*q**3 - 19*q**2 + 13. Calculate u*b(t) + 13*p(t).\nAnswer: -2*t**3 - 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-2))\/(1344\/(1152\/(-12)))\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*k + 14144 = 0, 4*j - 14179 = j + 5*k. What are the prime factors of j?\nAnswer: 2, 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v + 48106 - 16045 - 2*v - 16029 - 16032.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 984353575 to the nearest integer?\nAnswer: 31374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30867 + -30867.181. Sort 0.2, -4, -0.5, m in increasing order.\nAnswer: -4, -0.5, m, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3411*p**5 - 928*p.\nAnswer: -68220*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 9, 1 in descending order.\nAnswer: 9, 1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 7. Let n(c) = -117*c**2 + 340*c - 207. Let y be n(2). Solve -h*t = 2*x + y, -2*t - 9 = -4*t - 3*x for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mnf when three letters picked without replacement from inviixvxfviiffvfimmi.\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31586?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from umvrvrlurlou. Give prob of sequence vvro.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 165*k**3*u + k**3 + 81*k*u**3 + 594*u**3 - 27*u**2 wrt k?\nAnswer: 495*k**2*u + 3*k**2 + 81*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-2\/5)*c**(-1)\/c)\/((c**(4\/9)*c)\/(c*c*c**(-7)*c)))\/(c**(-3\/5)*c*(c\/c**(-3))\/c)**44 assuming c is positive.\nAnswer: c**(-1408\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-4) + -2 + (-178)\/(-8). Suppose -i = -2*x - 6*i + 3, -5*i - r = -4*x. Suppose -x*y + f = -f - 84, -3*f = -2*y + 34. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 + 36. Let o = w - 52. Are o and 22 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96046.59 nanograms in micrograms?\nAnswer: 96.04659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(162) + sqrt(162)*-3 - sqrt(162))\/sqrt(9))\/(sqrt(6) - sqrt(36)\/(sqrt(6)*-3)).\nAnswer: -9*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -d + 1, -5*j = 6 + 4. Suppose -9*z + 76 = -d*z. Suppose 33*v = 35*v - z. List the prime factors of v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1480 + -1445 - (1 + 20)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-16614)\/1420)\/((-650)\/250)\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 2*g + 3*g + 69, -27 = -2*w + 5*g. Suppose -o + 110 = -29. Let j = -125 + o. Calculate the highest common factor of j and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-495)\/(-22)*1656\/115. Calculate the highest common factor of q and 1998.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = i + 3*s, 0*s = s + 1. Suppose 4*q - 79432 - 256568 = i. Round q to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - d - 7. Let j = -12 + 14. Suppose -69 = -j*b - 5. Let l be b\/272 + (-2)\/17. Determine f(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.08 - -4.08. Let z = -0.02 - 0.98. Let x = -8 - -3. What is the nearest to z in x, -4, s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**2 + 35*t - 3. Let b(w) = -21*w + 171. Let u be b(9). Let v be i(u). Put 4, v, -1 in descending order.\nAnswer: v, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-14)*3710\/(-212))\/((-6)\/8)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 23005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -z**4\/6 + 66*z. Let d(u) = -24*u**2. What is n(d(j))?\nAnswer: -1152*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -17*t**3 + t**2 - 13*t - 25. Let y(n) = 9*n**3 - n**2 + 7*n + 13. Let d(p) = 6*k(p) + 11*y(p). Is d(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 5*b - 603 = 0, 3*b = -0*q + 3*q - 459. Let c = q + -151. Solve 1 = -2*g - c for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.7 + 3.7. What is the second smallest value in 0.1, 0.5, c?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**2. Let z(v) = -5*v + 34. Determine j(z(m)).\nAnswer: 50*m**2 - 680*m + 2312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, p: 7, k: 8}. Give prob of picking 2 p.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 233069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1030.1 - -1085. What is k rounded to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, 0.2, -5, 1 in increasing order.\nAnswer: -46, -5, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**2. Suppose 3*k - 4*k = 2. Let j(n) = -n + 2. Let m(z) = -4*z + 5 + z + 0*z. Let f(o) = k*m(o) + 5*j(o). Give f(l(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 3*q + 18. Let r be f(0). Let a(s) = 48*s + 27*s + 46*s + r*s. Let t(b) = -2*b**2. Give a(t(n)).\nAnswer: -278*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 2*l**2 + l - 3. Let a be p(-3). Suppose -11 = -3*t - 50. Let c = -2 - t. Solve m + 4*r = c, 2*m - 3*r + a = m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*z**2 - 671277*z - 4867389 = 0. Calculate z.\nAnswer: -29\/4, 55947","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37115 and 44175415?\nAnswer: 2855","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 39*z + 23. Let x(t) = t + 1. Let b(v) = q(v) - 6*x(v). Is b(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17692233 a multiple of 2271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 282106*o - 282046*o + 420 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 5*a**6\/6 + 13*a**4\/4 - 2*a**3\/3 - 12*a**2 - 2. Find the third derivative of f(u) wrt u.\nAnswer: 300*u**2 + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -j**9\/90720 + j**8\/6720 - j**7\/1680 + 5*j**4\/24 - 8*j**2. Let b(t) be the second derivative of l(t). Factor b(u).\nAnswer: -u**2*(u - 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13528.50613 to the nearest 10.\nAnswer: -13530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110022 + 130?\nAnswer: -103232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 90\/7 - 1419\/112. Let w be (-258)\/(-2720) + (-4)\/10. Let c = w + y. What is the third smallest value in 0, c, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3379903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(2548) + -2)*1 + sqrt(624)\/((sqrt(60) + sqrt(120)\/sqrt(2))\/sqrt(5)))**2.\nAnswer: 2925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 4309, 11415, 21363, 34153?\nAnswer: 49785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110120002 - -10?\nAnswer: 110120012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*sqrt(121) + 1*(sqrt(121) + sqrt(121)*1 + sqrt(121)))\/((-2*sqrt(66))\/sqrt(6) + (sqrt(66)\/(sqrt(6)*-1) - sqrt(11)))*5.\nAnswer: 15*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 - 13 - 53)*((-5 + 0 + 4)*(-3*g**2 + 2*g**2 - 3*g**2) - g**2 + 5 - 5) as m + l*g**2 + t*g and give l.\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.2 - -6. Let a = j + -0.5. Let b be (12\/40)\/((-3)\/2). Is a greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w + 7. Suppose -4*r - 118 = 2*s, 3*r - 230 = 2*s + 3*s. Suppose -141 = 2*a - 27. Let g = s - a. Determine m(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of d**4\/12 + d**3\/2 - d**2 + 3*d + 6. Let o(l) = l + 1. Let g be o(-4). Give m(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i. Let r(t) = 12*t + 147. What is 6*q(z) - r(z)?\nAnswer: 6*z - 147","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -951, -1897, -2843, -3789?\n\"Answer: -946*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - p - 129 + 55, 3*p = 3*i - 54. Calculate the remainder when 38 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21936 * 42.\nAnswer: -921312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-n + 3*n - 3*n)*(0*n + 3*n + n) + n**2 + 3*n**2 - 3*n**2)*(0*n + 3*n - 4*n)*(-80 - 52 + 86).\nAnswer: -138*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 17291*p + 34617. What is s(-2)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*k - 24*k + 28 = 0. Let b(v) = 2*v - 6. Let r be b(k). Solve r = 2*a - 0*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2164562 a multiple of 273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 21*b + 24. Let m be j(-20). Suppose -m - 4 = -4*t. Suppose t*v = -3*v. Solve i + 5*x + 15 = v, -6 = 5*x - 2*x for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-96)\/(-54) - (-3)\/((-54)\/(-4)). Solve 0 = -5*p + 2 - b for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + (-2 - 2))\/(-1). Suppose 52 = y*b - 0*b. Is 3 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 576 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 + 26065*n**2 + 104200*n + 104180.\nAnswer: 5*(n + 2)**2*(n + 5209)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 13 = 5*s - 108, 4*i - 29 = -3*s. What is the remainder when 58 is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 5. Let l = -4 - c. Solve 0 = -5*p - i - 19, l = 4*p + i + 15 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -116, -213, -308, -401, -492, -581, -668?\nAnswer: -753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0086595 to 4 dps.\nAnswer: -0.0087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/221005920 and -91\/607766280?\nAnswer: 2431065120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.22714 micrograms to grams.\nAnswer: 0.00006222714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-168)\/28 - (-32 - -1) is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 52, 5, 2, -20, 20, 0, 18 in increasing order.\nAnswer: -20, 0, 2, 5, 18, 20, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 4865.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1059316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -692*v**5 - 74*v**2 - 2*v - 12269. What is the second derivative of j(z) wrt z?\nAnswer: -41520*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*p = -3*a - 284, -5*p - 156 = 2*a. Is -72 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 4*m - 4*f - 7 = -4*m - 3, -m + 5*f + 12 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 4*u + 6. Let t be z(4). Suppose t*c - 770 = c. Let v be (-60)\/c + (-18)\/99. What is the second biggest value in -2, -2\/13, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g + 21. Suppose -60 = 6*f - f. Let b be j(f). Is 17 a factor of 3\/((-4)\/612*b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 4*c = 2, 5*g - 4*c + 9*c - 5 = 0. Let a(i) be the first derivative of -3*i**4 - i**3 - i**2 + i - 2. Is a(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**2 - 3*j. Let k(w) = 2*w - 3*w**2 + 10*w**2 - 8*w**2. Let c(y) = -3*k(y) - 2*v(y). Let p(f) = 4*f. Determine p(c(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3142 - 15870 = 1591*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*2603.07.\nAnswer: -10412.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1434 - 1432. Suppose -z - c*i + 6 = 0, -10*z - i = -6*z - 59. Suppose -a = -n + 5*n - 8, 16 = 2*a + 4*n. What is the lowest common multiple of z and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**4\/3 - 92*a**3\/3 - 86*a**2.\nAnswer: -2*a**2*(a + 3)*(a + 43)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (84 + -10)*((-17)\/2 + 4). Let q = 375 + v. Which is the nearest to -2\/5? (a) -2\/9 (b) -0.2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*g = 9*g + 15*g + 1170 for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2 (b) -1\/10 (c) 64\/11 (d) -3 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/5)\/((-1)\/(-5)). Suppose -5*d = -g*h - 247, -4*d + 3*h = -196 - 1. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 63?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s + 34. Calculate i(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1105\/69 - 376\/23. Put 4, k, 0.06, -2 in descending order.\nAnswer: 4, 0.06, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-2)*t*t**0)\/(t**(-16)\/t**(-2\/7)) assuming t is positive.\nAnswer: t**(110\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*l - 2, -2*l + 2*s = 5*s + 10. Let g be (-16)\/10*5\/l. List the prime factors of (169 + 1)*(-4)\/(-16)*g.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 459883, 1839209, 4138087, 7356517, 11494499, 16552033, 22529119?\nAnswer: 29425757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*m**5 + 176*m**4 + 176*m**3 - 232*m**2 - 148*m + 56 = 0 for m.\nAnswer: -1, 2\/7, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -1. Suppose -o*r - 2*y = -48, 79 + 23 = 5*r - y. Is r a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 1 = 2*k - w, 0 = -4*k - 3*w + 8. Let r(q) = -9*q - 11 - k*q + 3*q + 3*q**2. Let t(n) = -n**2 + 4*n + 4. What is 4*r(x) + 11*t(x)?\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*p - 45*p - 511 - 749 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 460847 by 5.\nAnswer: 460847\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(3\/2))\/(60\/(-45)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16.5511 - 0.3811. What is j rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + -5 - 1)*-1. What are the prime factors of b + 3 + (-2 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10\/9 in -2, -25, -0.5, -1\/6, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2aa483 (base 12) in base 16?\nAnswer: b0823","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s - 5*s - 76*s**2 + 59*s**2 - 359*s**2.\nAnswer: -376*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -2\/3*k**3 + 7\/4*k**4 + 3 + 0*k**2 + 0*k. Suppose l(y) = 0. What is y?\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 16*k - 21*k + 48 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145 = 5*u - 3*b, 393*u = 397*u - 6*b - 296 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 4*b - b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**2 - 6*p**2 + 4*p**2 + 5*p**2 + p**2 - p**2 + 5*p**2 + p**2 - 4*p**2 + (17*p + 16 - 16)*(-5*p - p + 4*p).\nAnswer: -25*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**3. Let p be i(-1). Let w(q) = q. Give w(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -4 + -4 - -5 - 13?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*s**4 + 6*s**4 + s**4 + (2*s - 2*s + s)*(s**3 - 3*s**3 + 4*s**3))*(-7 + 7 - 7*s).\nAnswer: -7*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -5) + (36 - 45 - 2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 14993 and 14961 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -364841, -1459407, -3283693, -5837705, -9121449?\n\"Answer: -f**3 - 364854*f**2 + 3*f + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 39*n - 41*n. Calculate the lowest common multiple of 34 and (n\/(-3))\/(6\/(-33)).\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-4)*3\/12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 2*f + 4, -2*w - 731 = 2*f - 719 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 12066302 (base 7) to base 6\nAnswer: 35014542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 790094 to the power of 1\/2, to the nearest integer?\nAnswer: 889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19168 + 19164. Sort 2, t, -9, -26 in descending order.\nAnswer: 2, t, -9, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 11:24 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)*1*-2)\/sqrt(9) + -1.\nAnswer: -2*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((1 + (0 + sqrt(325) + sqrt(325))**2)*-6 - (3*(sqrt(325) + (sqrt(325) - (sqrt(325) + sqrt(325)*-1 + 3 + sqrt(325))) + sqrt(325)))**2).\nAnswer: -19590 + 540*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5327, 5341, 5359, 5381, 5407, 5437?\n\"Answer: 2*g**2 + 8*g + 5317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16287879, -16287873, -16287865, -16287855, -16287843?\nAnswer: -16287829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -3, 1, 6, 14.\nAnswer: -3, -2, 1, 5, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 13.91. Let y = -0.11 - u. Let j = -0.1 + -0.4. What is the second biggest value in y, -2\/7, j?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c*l**3*p*v - 44*c*l**2*v**3 + c*p*v**2 + 3*c*v**2 + 3*l**3*p*v**2 - 5*l**3*p*v + 8*l**3*v**3 - 5*l*p*v**3 + v wrt v?\nAnswer: -264*c*l**2 + 48*l**3 - 30*l*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**(-2\/7)*h)\/((h\/h**(1\/5))\/h*h)*(h*h**(-2\/5)\/h)**(-3\/17))\/(((h*h*h**1)\/h)**(5\/6))**(-3\/10) assuming h is positive.\nAnswer: h**(3637\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 12. Let c(j) be the third derivative of j**6\/120 - j**5\/60 + j**3 - 88*j**2. List the prime factors of c(y).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/3, -0.03, -19\/3, 5, -9, -1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 9:30 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 73041879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -10*s + 30 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.9 - 85?\nAnswer: -81.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 578.7378ng?\nAnswer: 0.0000000000005787378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 56\/15 in 299.4, 1\/6, -0.1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.78710822 to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88, 220, 424, 700, 1048, 1468, 1960?\nAnswer: 2524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 696879468 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*z = 32, -3*t + 52 = z - 0*z. Suppose 0*a = 2*a - t. Let l = 14 - a. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 - 1)*(-4 + 2 + 4) - 1 - 5 + 4 - 7 - 3 + 12)*(2*f**2 + f**3 - 2*f**2).\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + r + 1. Let p be x(-2). Let f = -102 - -102. Sort p, -4, f in ascending order.\nAnswer: -4, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -1. Suppose 2*d - z*d = -3. Suppose 5*p - 37 = 2*i + 6, 1 = d*p + 5*i. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34\/135 at most 0.199?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 31, 5, -4, 7.\nAnswer: -4, 5, 7, 9, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/3 and -410\/403 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25.96507 + -0.03493. Put p, -4, -0.42 in increasing order.\nAnswer: p, -4, -0.42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 112 - 4?\nAnswer: 10b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2505 is divided by 56?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/((-14)\/(-28) - (-2)\/4). Let x be w\/((-90)\/(-4)) - 2\/9. Solve x = -6*h + 3*h - 15 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 537942432 to the nearest integer?\nAnswer: 813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-8 - -7) - 7 - -8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 2*q - 2. Let v be g(3). Let x = 27 - v. Suppose r = -2*i - 2*i + x, r + i - 5 = 0. Calculate the remainder when 13 is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/40*7\/(-63).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(272)*2 - sqrt(272)) + sqrt(272) + -3 - (0 + sqrt(272) + 1)) + -2)**2.\nAnswer: -48*sqrt(17) + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -0.2, -0.01, -2\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23772 by 12.\nAnswer: -1981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -58327 or -58326?\nAnswer: -58327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 3:05 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, c: 2, b: 7}. Give prob of picking 1 b and 2 c.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -2*v**3\/7 - 10062*v**2\/7 - 16873974*v\/7 + 13437. Let h(t) = 0. What is t?\nAnswer: -1677","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1202 - 1197. What is the third smallest value in -4\/7, v, -7, 2\/7, -4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0707 + 20.9293. Which is the third biggest value? (a) 1\/2 (b) m (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2317 + -2319. Let g be -46*z\/20 + -3. Find t such that 96\/5*t - 70*t**2 + 444\/5*t**3 - 182\/5*t**4 - g = 0.\nAnswer: 2\/13, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 5*b - 13. Suppose -13*n - c + 22 = -17*n, -c = -2. Determine j(n).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4881.\nAnswer: 3, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33 - -414?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/9)\/((-4)\/(-6)). Suppose 0 = -s + 4 - x. Is 8 a factor of (s\/(-1) - -20) + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -19627, -79902, -180349, -320968, -501759, -722722, -983857?\n\"Answer: -20086*c**2 - 17*c + 476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 3*z**4 + 4 + 2*z**4 + (-z**2 - 2*z**2 + z**2)*(3*z**2 + z**2 - z**2) to the form a*z + r*z**2 + o*z**4 + s*z**3 + d and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 1026088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -5.9. Which is the nearest to -1? (a) l (b) -2\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -35*k - 23. Let t(i) = -140*i - 91. Let c(s) = 21*h(s) - 5*t(s). Differentiate c(z) with respect to z.\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4*r**2 + 64*r. Let i(p) = 10*p**2. Calculate l(i(d)).\nAnswer: -400*d**4 + 640*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 51*v**2 - 43*v - 334. What is the ten thousands digit of f(-39)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78896?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 488600 and 100520.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1889024985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 2*p**2 - 13*p - 3. Let w(r) = -2*r**3 + 5*r**2 - 25*r - 5. Let k(q) = -11*l(q) + 6*w(q). What are the prime factors of k(5)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 406220*y + 33570.\nAnswer: 406220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*h + 19*h = -13977. List the prime factors of h.\nAnswer: 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 - (-35 + 49)) + -34.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24? (a) 0.11 (b) -0.4 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 + 27 + 3*p**3 + 32.\nAnswer: 3*p**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -68*a**2 + a - 4 wrt a?\nAnswer: -136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4*y**2. Let n(k) = -115711079*k**2. What is n(f(q))?\nAnswer: -1851377264*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5012 = 4*o + 3*d, -o - 19*d + 21*d = -1253. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1309453265 - 64.\nAnswer: -1309453329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 1659 + 893. Is 58 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one tenth of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/7)*l)**16\/(l**(-3)\/l*l**(-3)))\/(l\/(l*l\/(l**(-2)\/l*l))*l**6)**(-2\/15) assuming l is positive.\nAnswer: l**(979\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98 and 1393.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 9, 2, 98, 17849 in decreasing order.\nAnswer: 17849, 98, 9, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and -45070?\nAnswer: 45069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/3 + (-19)\/((-285)\/150).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (38 - (-7 - -17 - 4)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 46*o**2 - 330*o - 145. What is c(37)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34086458 or -34086455?\nAnswer: -34086458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39 + -1. Let b = -2.848 - -3.048. What is the smallest value in 3, u, b, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28*0.83\nAnswer: -23.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 18 = -2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140296 divided by 1349.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2717407397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l**(-1\/4)*l*l)))**(1\/7)\/(l\/(l**1\/l)*l*(((l\/(l*l**(1\/2)))\/l*l)\/l)\/l) assuming l is positive.\nAnswer: l**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1931 rounded to the nearest 10?\nAnswer: -1930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2*n - 18 + 4 = 0, 0 = 5*n + 20. Solve d - 2*p = -5 - b, -5*d + 2*p = 16 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + m + 1, 7 = 3*p - 2*p + 2*m. Suppose -4*j - 3*n - 4 = 0, -p*j + 14 = n - 3*n. Let i = 25 + -17. Calculate the highest common divisor of i and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l. Let d(m) = 5*m - 4. Let t(i) = i - 1. Suppose 0 = 5*y, 11 = -4*g - 3*y - 5. Let u(n) = g*t(n) + d(n). Give q(u(v)).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n. Let w(m) = -325*m - 1. Calculate a(w(l)).\nAnswer: -650*l - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16 or -4307?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/10*392 + 4\/(-20). Calculate the greatest common factor of 247 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1.5360415 rounded to 1 dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4267, -4269, -4281, -4309, -4359, -4437?\n\"Answer: -h**3 + h**2 + 2*h - 4269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 6*r**2 - 7*r - 3. Let v be k(-7). Is 84 + v + 2 + 2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3850946*c**2 - 3850946*c**2 + 2058*c**3.\nAnswer: 2058*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 m, and 2 p when four letters picked without replacement from mpmpmmjmmmpmmmppmpm?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 70*t + 1. Suppose -92 = -4*a + 4*r, -3*a = -r - 1909 + 1838. Calculate the remainder when f(1) is divided by a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40966\/11 + -764094\/187. Let i = -362 - z. What is the second biggest value in i, -1\/6, 0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 123*b - 152. Calculate a(3).\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a - 3*a + a)*(2 + 33*a + 99*a - 3) to the form i*a**2 + p*a + g and give i.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 50876283 a multiple of 3099?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -496.8 and -42036343.\nAnswer: -42036839.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 2 = 7*d. Let l be d\/4 - (-1)\/2. What is the nearest to -1 in l, 0.7, 0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 5:37 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (0 - 0) - 1 - 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 231 and 2748.\nAnswer: 211596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 14*n**2 - 46001*n + 91982. Give k(2).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 103985 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 10 - 4*y - 23.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + -4 - (-9 - 0). Let t(z) be the third derivative of 1\/6*z**j + 0 - 3*z**2 + 0*z**3 + 0*z. Let b(y) = 2*y**2. Determine t(b(o)).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 a factor of 392598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 742592021?\nAnswer: 67, 79, 140297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4*t**2 + 12*t - 5. Let a be k(-4). Solve -2*s - 3*s = 2*v + 30, v - a = 4*s for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-5)*50\/(-5). Let b(h) = -4*h + h + h**2 - 2*h - h**3 + a*h. Let f(u) = u**2 - 4*u + 1. Let g be f(4). Determine b(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 19. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 116333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3365 - 600326?\nAnswer: -604024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 0.21, 1, -29, -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 192, -0.3, -5.\nAnswer: -5, -2, -0.3, 192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 8, 3*r - 479 + 132 = -l. Suppose 4*p - 5*a = 286 - 27, 0 = 5*p - 4*a - l. Let g = p + -45. What are the prime factors of g?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34431, -68838, -103245, -137652, -172059, -206466?\nAnswer: -240873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, z: 1, v: 1}. What is prob of sequence vo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20840636.\nAnswer: 2, 83, 62773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 42 (b) 39 (c) -5 (d) 11 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-3))\/(30\/50).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26403867.\nAnswer: 3, 7, 139703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s + 8. Let t be u(7). Let h be (2*(-8 - -4))\/t. Let z = 13 + h. Is 5 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -18877915 and -612.\nAnswer: -18878527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.11? (a) 0 (b) -2\/3 (c) -0.2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 8, w: 3}. Give prob of sequence iwwi.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -419 - -600. Let l = -180.5 + f. What is the fourth biggest value in l, -2\/19, 2, 104?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g**3 + 1796*g**2 + g + 3818. Let a(p) = -p**3 - 4*p**2 - p + 1. Let z(c) = -2*a(c) - v(c). What is the second derivative of z(u) wrt u?\nAnswer: -12*u - 3576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 k when three letters picked without replacement from ksskksssskkkkskskkss.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2057 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 867*t**2 + 5100*t + 7500 = 0. Calculate t.\nAnswer: -50\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5\/9)\/(-5)*11438511\/3615. Let m = -158\/1205 - j. Let d = 351 - m. Which is the second smallest value? (a) 4\/9 (b) d (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.024613 rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(176) - 1*sqrt(176)) + -5))**2 + (2*sqrt(176)\/sqrt(4))\/(sqrt(64) + sqrt(16)).\nAnswer: sqrt(11)\/3 + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 6*d - 3. Let h be u(-7). Suppose -5*s - n = -21, -h*n - 15 = s + n. What is the remainder when s is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3 = 4. Let d = -1 + s. Calculate the remainder when 19 is divided by -1 + 10 + 0 + d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 210*f**2 + 19*f - 20. Let d(c) = -75*c**2 - 7*c + 6. Give -7*d(r) - 2*w(r).\nAnswer: 105*r**2 + 11*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 0.2, -5, 8, -191, 42?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 2*p - 2. Let l = 19 + p. Does 4 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1936*h = -2678*h + 1479*h + 106590 for h.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of 1\/2*m**2 - 6*m + 4. Determine l(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 11*b + 3. Let n(i) = 8*i + 239. Let r be n(-29). Let j(v) = 6*v + 2. Determine r*j(t) - 4*y(t).\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3 - 3*r + 7 + r**2 + 0*r**3 + r**3. Suppose 2*s = 4*b - 6, 5*s = 4*b - b - 15. Give z(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) 1\/96 (c) -0.2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 140 = -4*w, 3*u + 2*w + 58 = u. Let m = -33 - u. Let p be 64\/(-4 + 2)*m. Calculate the highest common divisor of 8 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1732*t**3 + 226*t**3 + 1520 - 1520 + 735*t**3.\nAnswer: 2693*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 5*g**3 + 2*g**2 + 2*g + 1. Let i be q(-1). Let j be (-3)\/(-2) - (i + 4). Is 2 at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -4*s + 2. Let d(t) = 4*t - 3. Let p(c) = 5*a(c) + 4*d(c). Let w(f) = -9*f - 5. What is 7*p(n) - 3*w(n)?\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 354534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/8 of a hour?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + (2*sqrt(15) + sqrt(15) + sqrt(15))\/sqrt(5) - (1 + sqrt(3) + 5)**2.\nAnswer: -39 - 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 144 and 73626372?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 4*q - 24 = -4*g, -3*g = -4*q - 18. Let u(t) = t**2 - 8*t + 5. Calculate u(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p + 15. Let l be u(13). Let w(x) = x**2 + 3*x**2 + 0*x**2 - x**l. Let f(s) be the third derivative of -s**5\/60 + s**2. Calculate w(f(o)).\nAnswer: 3*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j - 7. Let c be (2\/4*0)\/1. Let p be 6\/(-2) + c + 0. Let h be (p - -4)*(-2 + 7). Give m(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 12:49 AM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -11*o + 20. What is j(11)?\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/660 and -67\/14850?\nAnswer: 29700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -65 + 68. Let k(j) = 22 - 12*j**w + 2*j**3 - 2*j**2 + 3*j**2 + 2*j**2 + 3*j. Is k(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 2*s + 84, -68*l + 66*l = 5*s - 34. Calculate the remainder when 80 is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 15) in base 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + j + 34 = 0, -5*n + 3*j + 35 = -4. Suppose -2*z = o, -4*o - 4*z = -n*z. Solve -i - i - 4 = o for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -15 + (12 - 0) + (3 - 3\/1). Let t = -0.1 - 0.1. Which is the smallest value? (a) 0.07 (b) p (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39 + (-33 - 32) + 38\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 270480.8 weeks to microseconds.\nAnswer: 163586787840000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -4*t**2. Let a(o) = 7069*o**2. Give u(a(d)).\nAnswer: -199883044*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -13*s**2 + 1. Let b be 2 - (-5)\/(-9 + 4). Calculate j(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388 is divided by 36?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/18*(-2)\/8.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8721011.\nAnswer: 13, 37, 18131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 118*t**3 + 11*t**2 - 49*t - 3. Is n(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 5:12 AM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 7:48 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-9)*k)**45\/(k**18\/k*k*k*k**(7\/4)*k*k) assuming k is positive.\nAnswer: k**(-1531\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -19.4 times -10\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 425124 and 350.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-14))\/(-3*(-4)\/192)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -192 + 192.00344. What is o rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 14. Which is the nearest to -3? (a) f (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h*h**23)\/h)\/(h\/h**(5\/14)))\/((h\/h**(-3\/2)*h*h*h)\/h**(1\/18)) assuming h is positive.\nAnswer: h**(2383\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2099, -4, -1 in descending order.\nAnswer: 2099, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1047350, 1047321, 1047274, 1047209, 1047126, 1047025, 1046906?\n\"Answer: -9*o**2 - 2*o + 1047361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 8:11 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -b**7\/98 + 47*b**6\/840 + b**5\/60 - 43*b**4\/168 + 2*b**3\/7 - 1655*b**2. Find n such that h(n) = 0.\nAnswer: -1, 1\/3, 4\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of j**5\/60 + j**4\/4 + j**2. Let t be k(-5). Let w = t + 8. Solve r = -w*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46 and 107940817?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -7. Suppose -z*o = 2*o - 28. Calculate the lowest common multiple of o and 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**4 - 78*h**3\/7 + 12015*h**2\/7 + 110688*h\/7 - 32604\/7 = 0. Calculate h.\nAnswer: -19, -11, 2\/7, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -13, 0, 13, 26, 39, 52?\n\"Answer: 13*w - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.2 - -3.8. Let r = -4.02 - -0.02. What is the second biggest value in r, 3, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2563.865ml in litres?\nAnswer: 2.563865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15283 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5281154349 a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32032 is divided by 224.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1672667 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*q + 36 = 0, 4*c + c = -q - 180. Let b be (2\/(-4))\/((-3)\/c). Let o = b + 14. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (219\/292)\/((-30)\/(-16)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**2 - 43*t + 87*t - 44*t - 8.\nAnswer: -3*t**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 127210 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of 1\/60*y**6 + 0*y**3 + 1\/5*y**5 - 5*y**2 + 0*y + 0*y**4 + 0. What is the third derivative of g(z) wrt z?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 53516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {c: 5, y: 2, u: 3, b: 1, l: 8, p: 1}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 194 - 1529. Let z = o - -426. Let g = -124 - z. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 1 (c) 7806\/17 (d) 2\/47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) 3 (b) -0.5 (c) -1\/5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**(-5))**(-14)*t**4*t\/((t*(t\/(t**(-1\/18)\/t))\/t)\/t) assuming t is positive.\nAnswer: t**(-1693\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 2519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 173*h + 5210. What is q(-134)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7308739?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 255703.662 and 11.016.\nAnswer: 255714.678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - i - 3)*(-3 + 2 + 3) - 2*i + 3*i + 0*i + (0*i + 3*i - 5*i)*(0 - 1 + 2))*(-5 + 1 + 2).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 4*z - 3918, 0 = 3*b - 5*z - 1526 - 4296. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1160?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -251, -2815, -7695, -14891?\n\"Answer: -1158*n**2 + 910*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 14*d - 52. Let j be k(4). Sort 3\/4, j, 2\/41, -2 in increasing order.\nAnswer: -2, 2\/41, 3\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, e: 1}. Give prob of picking 1 a and 1 e.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 34*g - 130. Suppose -w + l - 3*l + 6 = 0, -3*l = 2*w - 14. Calculate the remainder when n(-7) is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -589*c**2 + 6*c + 508. Let j(m) = m**2 - m - 8. Let u(k) = -a(k) - 6*j(k). Find the first derivative of u(p) wrt p.\nAnswer: 1166*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00701 to 4 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -10374.4814 to 0 decimal places.\nAnswer: -10374","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 13 = -3*n. Suppose 0 = -k + n + 4. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -174, -703, -1580, -2799, -4354, -6239, -8448, -10975?\nAnswer: -13814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 959763*f**3*t*y**3 - 4*f**2*t*y**2 + 42*f**2*y**3 + 3*f**2*y**2 - 3*f*t*y + 2*f*y**2 - 3*f wrt f?\nAnswer: 5758578*t*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-205)\/65 + 6\/39. Let x be (3 + (-5 - -3))*-7. Let a be (4\/x)\/(20\/(-70)). Put c, -2, a in descending order.\nAnswer: a, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 20*h + 32. Let g be c(-10). Which is smaller: -166 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41835.\nAnswer: 3, 5, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 46\/(-8*13\/(-416)). Suppose 0 = -m - 4*m + 40. Calculate the highest common divisor of r and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 42331 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 2830, -423 in decreasing order.\nAnswer: 2830, 2, -4, -423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23523350 + 1?\nAnswer: 23523351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/6 + 781*g\/3 + 20787\/2.\nAnswer: (g + 41)*(g + 1521)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 19*j**2 + 14*j - 805. Let k be r(-23). Calculate the highest common divisor of k and 129.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1\/7, -0.1, 0.27, -4\/3, -60?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -20. Let p(u) = 4 + 4*u**2 + 2*u**w - 4*u**2 - u**3. Determine p(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8073, -17019, -25975, -34941, -43917, -52903?\n\"Answer: -5*w**2 - 8931*w + 863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/740 and -191\/5550.\nAnswer: 11100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 20*h = 1233. Suppose -4*d + 34 = w, -3*d - 112 = 4*w - 274. What is the remainder when h is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(15\/5))\/7.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -584 by -3.\nAnswer: 584\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 6 = -3*l. Let j = 75 + -75. Is (j - -3)\/(l\/(-53)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 1 + -3 + (-6 - -6). Let b be (2 + 3 + -7)*z\/(-4). Let c(m) = 36*m**2 + 2. What is the units digit of c(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1073 - 11824\/11. Let v = i + 193\/55. Factor 0 - v*q**3 - 4\/5*q**4 + 0*q + 12\/5*q**2.\nAnswer: -4*q**2*(q - 1)*(q + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*q + 51 + 43 - 94.\nAnswer: -25*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 23*h**2 - h + 39. List the prime factors of p(-47).\nAnswer: 2, 7, 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 12 + (11 - -4).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b**3 - 2. Let j(g) be the third derivative of g**6\/30 + g**4\/24 + g**3\/2 - 42*g**2. Determine -4*j(q) - 6*l(q).\nAnswer: 2*q**3 - 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h**2 - 6 + 58*h - 58*h. Let y(q) = -48*q + 37. Let m be y(-6). Suppose -15 = m*c - 328*c. Let j(s) = -2*s**2 + 5. Determine c*p(l) + 6*j(l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/99 and -29\/90.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.76 - -2.5. Round h to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 0)*(-7*v + 4*v + v)*(-8 + 8 + 4*v**2) to k*v + o + d*v**2 + x*v**3 and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 d when two letters picked without replacement from xdxzzij.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 90 + 114 = 38*b. Which is smaller: 299\/40 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26775987 to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 59335773977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20 + 14*t**2 - 20 + 2*t**2 + 3*t**2 - 6*t**2 + 0*t**2 - t**2 + 2*t**2 - 2*t**2 + t - t + (-2 + 2 - 14*t)*(-t + t - 2*t).\nAnswer: 40*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -270 - -266. Put 13, 12, 5, j in ascending order.\nAnswer: j, 5, 12, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/(-144)*(36 + -6).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a minute in milliseconds?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 - 5 + 5)*(-120*p - 118 + 118 + (1 - 1 + p)*(-1 - 2 + 2) - 1 + 1 - p).\nAnswer: 244*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/14*(1008\/(-70) - -13). What is the biggest value in t, 0.1, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 - 33108*c**2 - 660176*c + 3170688.\nAnswer: -4*(c - 4)*(c + 24)*(c + 8257)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1652147 - -133?\nAnswer: -1652014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - p - 4*p + 3*p)*(-158*p + 171*p + 86*p) in the form b*p + w*p**2 + x and give b.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4994 + 4999. Which is the nearest to 6\/43? (a) -2\/15 (b) -2\/3 (c) 2 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 = -10*l - 31. Suppose 3*f + 13*r - l*r - 2729 = 0, f - 903 = -2*r. Does 11 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/15 (b) 2\/13 (c) -3 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 152\/3 + -36. Calculate the common denominator of o and (-73)\/(-22) - (-2)\/(-4).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 divided by -4?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/1 - (-89 - (-5148)\/66)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -84 + 101. Let m = -16.8 + b. Let y = -0.1 - -2.1. Sort m, -1\/3, y.\nAnswer: -1\/3, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 12) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -445, -924, -1385, -1834, -2277, -2720, -3169, -3630?\nAnswer: -4109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3302 - -6661. What is the remainder when o is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 709794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.068 and 2699.5.\nAnswer: 183.566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 - 2736 = -631*l + 434 + 1337 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 9:11 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, k: 4, o: 2, t: 3, l: 1}. Give prob of sequence hk.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8262 and 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 201 and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-54)*-3 + 1400\/18. Suppose -6*w = -546 - j. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1013*s**2 + 1993*s**2 - 1024*s**2.\nAnswer: -44*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27426905?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vii when three letters picked without replacement from vnjnvjnjijjnvxji?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12789 - -12529. Put b, 3, 5 in decreasing order.\nAnswer: 5, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 w, and 1 c when four letters picked without replacement from cfwwfwfwcffwcfffw.\nAnswer: 18\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 7*d**2 - 8*d + 17. Let v(x) = -3*x**2 + 4*x - 8. Let y(i) = -4*n(i) - 9*v(i). Let m be y(-4). Suppose -3*a = a - m. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 220*f**2. Let q(u) = 5409*u**2 - 10792*u**2 + 5390*u**2. What is q(s(j))?\nAnswer: 338800*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or -4\/12513?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 6*q**2 + 3*q**2 - 2*q**2 - 18 + 0*q**2 - q**3 + 10. What is p(6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -44609.132 to the nearest 100.\nAnswer: -44600","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 4*a - 2. Let d be g(5). Let r(i) = i. Let x be r(-3). Let u = 14 + -10. Sort u, x, d.\nAnswer: x, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 178.43 - 1024.7\nAnswer: -846.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*q*z**3 + 2*q*z + 5*q - 3*z**4 - 151 wrt z.\nAnswer: -66*q*z**2 + 2*q - 12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112 and 1148336.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0015721284 rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of 31*u**5\/20 + 5*u**4\/2 - 8*u. Find the third derivative of k(v) wrt v.\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(81)\/sqrt(3)*5.\nAnswer: 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.06 - 3.06. Let b(j) = j**3 + 9*j**2 - 2*j - 28. Let q be b(-9). Let h be (q\/105)\/(12\/28). What is the nearest to -0.2 in -3\/2, h, u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 5*q**3 + 5)*(1 - 3 + 1)*(0*q + 3*q - 4*q).\nAnswer: -5*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 - 16787*r**2 + 4170944*r - 32292672.\nAnswer: -(r - 237)*(r - 8)*(r + 17032)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 2*r**2 + r)*(25*r + 6*r + 72*r) + 2*r**3 - 3 + 3.\nAnswer: 208*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/25*(-6)\/4. Let t = -41.8 - -42.2. Which is the second smallest value? (a) 1 (b) t (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 122 - 8\/(2 - -2). Suppose o + o - f = 0. Calculate the remainder when o is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 5*a - 3*l, -3*l + l = -a + 8. Let b(p) = -8*p - 176. Let m be b(-30). Suppose -h = -2*y - m, h + 4*y = a*h - 338. Does 15 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*y + 2*y**4 + 10*y + 5*y - 31*y + 1 + y**3 to q*y**4 + c + i*y + t*y**3 + x*y**2 and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.7 - -1. Let g = f + -0.281. What is g rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7a18 + 3?\nAnswer: 7a1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 5. Let r = 8 + o. Find the second derivative of 33*q + 6*q**r + 0*q**2 + 0*q**2 - 39*q wrt q.\nAnswer: 36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 143 + 33 = 0. Calculate the lowest common multiple of 28 and d.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 0 + 5)*(2*l - 4*l + 3*l) - l + 3*l - l)*(0*l - 3*l - l).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -26755678?\nAnswer: -26755684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4\/19 - 14\/247. Let y = 0.17 + 5.83. Let g = -6.1 + y. Which is bigger: g or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 8. Let i(l) = 2*l**2 - 4*l + 3. Let g be i(3). Let y = 13 + g. Calculate the remainder when y is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**4 - 13*y**4 - 22*y**2 - 4*y**2 + 0*y**2 + (0*y + 3*y - y)*(3*y**3 - 3*y**3 + 2*y**3) to s*y**4 + p*y**3 + v*y**2 + d + z*y and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -150*j**2 + 32852*j - 445. Calculate h(219).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-57)\/(-19))\/(-2*(-9)\/(-24)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 406723795 to the power of 1\/4, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i\/((i*(i\/(i\/(i\/i**13)))\/i)\/i))))\/((i*i**(2\/35)\/i)\/i) assuming i is positive.\nAnswer: i**(523\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 505 + 2761 = 0. Let c = 821 - r. Suppose -5*q + c = -2*b, -2*q - 2*q - 5*b = -199. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*q + 265*q - 21*q + 6094 = 68*q for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/12 and -43\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 112?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361726 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5523528 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(3\/(-10)))\/1. Suppose 0 = 5*x - g - 30. Suppose 3*y = 15 + 27. Calculate the remainder when y is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {y: 1, n: 3, g: 3, d: 6, k: 1}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*u + u**2 - 2*u**2 - 22*u - 15*u.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of 4\/3*i**3 + 1\/60*i**5 + 0 + 1\/3*i**4 - 2*i**2 + 0*i. Calculate the remainder when u(-9) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(25))\/sqrt(5) + -2*sqrt(5)*5)**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18 or 20?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**5 - 6*x**4 + 8*x**3 + 16*x**2 - 48*x + 32.\nAnswer: (x - 2)**4*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.16194952 - -0.162. Round b to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - x. Let f be d(-1). Suppose 2*c - a - 3*a - 238 = f, -3*a = 4*c - 476. Let n(y) = -58*y + c*y - 62*y. Let s(o) = -4*o**2. Calculate n(s(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7039957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1 + i**2 + 4*i**2 - 4*i**2 - 3 + i.\nAnswer: (i - 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-20\/9)*y**(-10))**(5\/8) assuming y is positive.\nAnswer: y**(-275\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/4 (b) -4 (c) -85 (d) 4 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -q**4\/24 - q**3 - 2*q**2 - 25. What is r(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2. Let u(l) be the second derivative of -4*l**3 + 2*l. Give f(u(k)).\nAnswer: 576*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2.7782*-3251\nAnswer: -9031.9282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2012 and 10515718?\nAnswer: 1006","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*v - 10527 = 3409. Calculate the highest common divisor of 34 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 229, 460, 691, 922, 1153, 1384?\nAnswer: 1615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o*r*u*y**5 - 232*o*r*u*y**3 - 2*o*u*y**2 + 3*o*u + 2*r*y + 7*u wrt y.\nAnswer: 60*o*r*u*y**2 - 1392*o*r*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 10 = -2*b, 3*k - 2*b = 3*b + 25. Let z be 2 - -3*(-12 + 13). Solve k*q = -q + z*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/30 + 0)*270\/378. Which is the third biggest value? (a) g (b) -0.2 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.2 - -6. Let n = -9 + 9.3. Sort 1\/6, n, y in ascending order.\nAnswer: y, 1\/6, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7846*(57\/(-76))\/((-6)\/(-4)). Suppose 3*b - 11709 = -3*q, 0*b = -q + 4*b + l. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -1\/2*c**5 + 11*c + 0 - 8*c**2 + 0*c**4 + 0*c**3. Differentiate g(m) wrt m.\nAnswer: -30*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*v**(-3)\/v*v)\/v)\/v)\/v)\/v*v**(-3\/5)*(v\/v**(-1))\/v**(-3\/8) assuming v is positive.\nAnswer: v**(-169\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 35*h + 401. Let w be b(44). Solve w*l = -3*v - 7, -v + 3*l + 0*l = -7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 6*m**2 - 4*m + 12. What is h(6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48410170*t + 21 + 48410170*t + 7*t**2.\nAnswer: 7*t**2 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 3 - 1\/2*w**2 + 4*w. Let y be z(3). Which is smaller: y or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*q - 1. Let y(o) = -2*o + 16. Let z be y(6). Suppose i = 5*f - 20, 6*i = -5*f - 9 - 6. Put q, 2, f, z in decreasing order.\nAnswer: z, f, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5 + (3 + sqrt(208) + 0 - (sqrt(208) + 1 + -2*sqrt(208)) - (2 + -2*sqrt(208))*6))**2*2.\nAnswer: -407930 + 5600*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*v - 3 + 3 + (0 + 2 - 1)*(2*v + 3*v - 3*v) - 6 + 27*v - 54*v + 25*v.\nAnswer: -6*v - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((6*(-5 + 1*sqrt(396) + sqrt(396)) + -2)*1 + -1 + -3)**2.\nAnswer: -5184*sqrt(11) + 58322","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -5*s. Suppose 0 = -2*c + 2*n - 6, -4*c = -5*n + 3 + 8. Let g be j(c). Suppose -d + 35 - 31 = 0. Solve d*m = -m + g for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w**2 - 4*w**3 + 6*w**3 + 4 - 2 + 2*w - 1. What is the remainder when 8 is divided by j(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4\/2 + 9*i**3\/2 + 7*i**2 - 12*i.\nAnswer: i*(i - 1)*(i + 4)*(i + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -z**6\/180 + 2*z**3\/3 - 4*z. Let r(g) be the second derivative of w(g). Factor r(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (39 - -2) + (0 - 0). Suppose 43 + g = 6*l. Find the second derivative of -l*n**3 + 241 - 241 - 13*n wrt n.\nAnswer: -84*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/9*756\/(-392)*308\/(-8).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - (sqrt(72) + -2))*-5)**2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3288 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -5*x + 3890, -3*x + 2324 = -18*j + 17*j. What are the prime factors of x?\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41263*p**2 + 41335*p**2 - 123606*p**2 - 2 + 41176*p**2 + 2.\nAnswer: 168*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 348\/(-1566) + ((-956)\/(-90) - (-8)\/(-20)). Solve -v*a = -24 + 14 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.84634 * 0.58.\nAnswer: 2.2308772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -2. Let h = -1.1 - -1. What is the closest to h in 1\/4, z, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 129088?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 315210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 67 = -7. Suppose -3*n + n = g. Let w = 25 + n. Is 15 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2772726.\nAnswer: 2, 3, 11, 43, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 323 and 68.\nAnswer: 1292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 98*j**5\/5 + 66038*j**4 - 131465108*j**3\/5 - 38666656*j**2\/5 + 428718336*j\/5 + 68732928 = 0.\nAnswer: -3729, -8\/7, 2, 360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -32*a - 180. Let d be z(-15). What is the least common multiple of ((-10)\/(-15))\/(5\/d) and 96?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -205 - -452. Let l = k + -243. Which is the third biggest value? (a) l (b) 0 (c) -0.02 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/10 + 395\/1925)\/(4\/(-20)). Sort -3, b, -5 in descending order.\nAnswer: b, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*207\/(-184) - (-132)\/14?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-one fifths of a tonne?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10090*n**3 - 13071*n**2 + 261340672 wrt n.\nAnswer: 30270*n**2 - 26142*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 1125825?\nAnswer: 2251650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -14*f + 19*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -705? (a) 0.4 (b) -1\/6 (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b + 6. Let n = 17 - 12. Let k be f(n). Does 9 divide (k + 6\/(-4))*-52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 4*y - 4 = -6*y, 0 = 2*h + y - 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/(-4) + -3)*1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8637 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4*a - 235 + 820, -5*u = a - 162. Let g be 6 + 10\/(50\/(-15)). Suppose 18 = 4*f + 2, 2*d - g*f = 30. What is the highest common factor of a and d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -122*i + 120*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 788450382 to the nearest integer?\nAnswer: 924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 91 - 89. Sort d, -1, -6 in descending order.\nAnswer: d, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 4*a = 0, -2353*a = 5*w - 2352*a - 19 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002860456 rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 26 = 4*a + 1. Solve -4*x = -5*w - 5, 3*x - a*w + 30 = -8*w for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/31552 and 57\/477920.\nAnswer: 16249280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*c + 5. Is (-6)\/4 - (-3065)\/c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxnjlexlxxnl. What is prob of sequence exnl?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2172 and 13394.\nAnswer: 80364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -140 + 72. Round i to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d + 15*d + 1 - 123*d)*(0 + d + 0)*(5*d - 3*d - 3*d) as w + o*d**3 + q*d**2 + h*d and give o.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -364*d**2 - 7*d + 6. Calculate w(1).\nAnswer: -365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1032 and 1132\/28 + 28\/(1176\/(-18)).\nAnswer: 5160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -259 + 260.74. Let v = -1.74000428 + k. Round v to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (158*b + 100*b + 76*b)*(6*b**2 - b**2 - 3*b**2 + (-3 + b**2 + 3)*(0 + 1 + 0) - 2*b**2 + 3*b**2 + 0*b**2 + 0*b + 0*b - b**2) + 0*b**3 - 2*b**3 + 0*b**3.\nAnswer: 1000*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6158*h - 6204*h + 782 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, e: 3, f: 2, n: 1}. Give prob of sequence feu.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3312625*b**2*r - 25*b*r + 157*b + 2 wrt b.\nAnswer: 6625250*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2612ba20 - 3?\nAnswer: -2612ba23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvetvvtvt. What is prob of picking 1 v and 3 t?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1932960713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 8847.9\nAnswer: -44239.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 (base 16) in base 7?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of 1\/40*g**6 + 0*g**4 + 0*g**5 + g**2 - 1\/2*g**3 + 0 + 0*g. Differentiate f(o) with respect to o.\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.01 or -6508334\/3?\nAnswer: -6508334\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/104 and 49\/829452.\nAnswer: 1658904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*y + 13 = -16*y + 169. Let r be 6\/(-27) + (-34)\/9. Is 4710\/r*y\/39 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1221 + 14*c**2 + 1221 - 15*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -134599 + 134660.027. Let j = i + -61. What is j rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*z + 3*z + z)*(-2*z**3 + 2*z**3 + z**3) - z**2 - 2*z**4 + z**2)*(4*z + 12*z - 5*z).\nAnswer: -33*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(363) + -2 + -2 - (-1*(sqrt(363) - (sqrt(363)*-2 + sqrt(363))))**2) + -6*-6*(sqrt(363)*-1 + -3)**2.\nAnswer: 2387*sqrt(3) + 11938","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 p when two letters picked without replacement from {w: 1, p: 2, u: 1, o: 2, s: 2, q: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 2*c + 24 = 0, -3*s + 3*c + 61 = -11*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 2*w**2 - 4*w - 3. Let o be t(-1). Let v = -59 + 64. Suppose 2*y + v*y - 14 = o. Solve 5*m = -y*d + 15, 3 = d - 4*m + 15 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -947 or -29349\/31?\nAnswer: -947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*f + 14*f - 105*f**3.\nAnswer: -105*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*7\/56*-4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 + -18. Differentiate l + 10*r**3 - 18 - 21*r**3 wrt r.\nAnswer: -33*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2611*v = 4747*v + 98256 for v.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-2 - -11) + (5 - -3 - 3) + -17.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p + 3 + 4*p - 3.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -1. Which is the nearest to -0.2? (a) u (b) -3\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 i when two letters picked without replacement from {i: 2, x: 5, b: 4}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -25 - 23. Let f be (-6)\/i + (-12)\/8 + 2. Suppose -11*r + 2*r + 18 = f. Calculate the greatest common factor of r and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/1641653?\nAnswer: 2\/1641653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, 5, -5, 0 in ascending order.\nAnswer: -5, 0, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.22 - 118.22. Let g = -112.1 - s. Round g to 0 decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 94*s - 1893. Let j(b) = 34*b - 629. Determine -4*d(k) + 11*j(k).\nAnswer: -2*k + 653","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 12:44 AM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (29 - (29 - 14))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**2 - 468*r**3 - r**2 + 469*r**3 + 2*r.\nAnswer: r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 58735073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + 6*b - 18. Suppose 4*h = 5*h - 3*q - 3, b*h + 4*q = -4. Suppose 0*f + 4*f - 348 = h. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 10:55 PM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/2 - (0 - (-3 + -1)). Let a = 0.1 - 0.3. Let i = 0.2 + a. Put i, -0.1, h in descending order.\nAnswer: i, -0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 113*a**2 - 21*a + 4. What is y(1)?\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -5. Let t(o) = o**2 - 12*o - 10. Let l be t(13). Suppose -l*w + z*m = -21, w + m - 17 = -0*m. What is the common denominator of -71\/10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(3\/5))\/v*(v**(1\/6)\/v*v*v)\/v)**(-16\/7) assuming v is positive.\nAnswer: v**(-184\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*j*x**2 + 105*j*x - 4*x - 1 wrt x?\nAnswer: -34*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32913 - -32912.9875885. What is w rounded to 3 dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -1. Let s(b) = -b - 4. Give 2*s(u) - 9*w(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 34736176457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 - 34715*v + 11. Give r(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28942 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: -0.1 times 514\nAnswer: -51.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -5*n - 34, c - 4*c = 2*n + 19. Let b(h) = h**2 + 4*h - 3. What is b(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -5*m**3 + m + 1. Let s be 2 - (4\/2 - 5). Suppose -s*b + 66 - 6 = 0. Suppose 4*q + 13 = 1, 3*n + 3*q = -b. Determine z(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.78922 to two decimal places.\nAnswer: -4.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 137771.55409 - 137771. What is q rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 695*b*k**2*l**3 + 1047*b*k**2 + 20*b*k*l - 2*b*l + 20*k**2*l**3 wrt l.\nAnswer: 4170*b*k**2*l + 120*k**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -83 + 88. Suppose -335 + 0 = a*v. Let r = 72 + v. Solve 5*k + 10 = -r for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54237 times -101\nAnswer: 5477937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1303069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 39749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s - 4 + 60 = 0. Let v be -42 - (-4)\/s*4. Let c be ((-3)\/(-2))\/((-20)\/v). Solve -3*o + o = 3*i + 15, 0 = -2*o + i - c for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k - 1084. Let f(i) = 6*i. What is f(m(v))?\nAnswer: 6*v - 6504","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19045595?\nAnswer: 5, 83, 45893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -130.502049 * 0.1.\nAnswer: -13.0502049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2749*d**2 - 11006*d - 29. Give u(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 33088, 33081, 33052, 32989, 32880, 32713, 32476?\n\"Answer: -2*c**3 + c**2 + 4*c + 33085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/78 and (-3201)\/(-2808) - (8\/(-9) - -1).\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.132 take away 50?\nAnswer: -49.868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y - 41 = -145. What is the highest common divisor of y and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x**3 + 125*x**2 + 7*x. Let h(v) = -5*v**3 - 189*v**2 - 10*v. Calculate 5*h(g) + 7*o(g).\nAnswer: -4*g**3 - 70*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2)*(7 + 3*q - 7) + q - 3*q + 3*q - 3*q - 2*q + 6*q.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1079 + -526. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-5))\/((-396)\/(-495)). What is the biggest value in 8, 0.21, h?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - w**2 - w + 1. Let g = 53 - 55. Let b(t) = -4*t + 6 - 2*t**2 + 6*t**3 - 4*t**2 - 2*t. Let r(n) = g*b(n) + 11*x(n). Factor r(m).\nAnswer: -(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*s - 1. Suppose -n + 0*h - 4*h - 6 = 0, -s*n + 4*h = 24. Let v(z) = z**3 + 5*z**2 - 6*z - 5. What is v(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3652126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -54, -165, -384, -747, -1290, -2049, -3060?\nAnswer: -4359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -70*b - 42*b - 53*b + 2970 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2813, 5596, 8365, 11120, 13861?\nAnswer: 16588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3390601651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 6, 3, 5 in increasing order.\nAnswer: -3\/2, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 20 = -6*v. Suppose 0 = 4*u - 4*g + 668, -585 = 5*u - 4*g + 247. Let p = u + 165. Put 4, v, p, -5 in decreasing order.\nAnswer: 4, p, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2859*y - 6 + 0 + 1 - 2716*y + 4.\nAnswer: -5575*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 102342747, 204685495, 307028243?\n\"Answer: 102342748*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 14 = 2*z. Is 7 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 - -31. Let c(p) = -p**2 + 5*p - 2. What is c(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 0*x + 0*x**2 + 18*x**3 + 0*x**5 + 0*x**4 + 44\/3*x**6 + 132. What is the third derivative of z(v) wrt v?\nAnswer: 5280*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c*w**3 - c*w**2 + 2*c*w + 211*c - 294*w**4 wrt w?\nAnswer: 12*c*w - 2*c - 3528*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 35355843 and -1362188.\nAnswer: 33993655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2647*g*p**6 - 6*g*p**3 - 82714*g*p**2 - 2*g*p wrt p?\nAnswer: -317640*g*p**3 - 36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, v: 2, w: 2}. What is prob of picking 2 f and 1 w?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7032 and 15236?\nAnswer: 91416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-2)*-1*18. Let r = 15 + w. What is the least common multiple of r and 12\/10*500\/15?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -338 - -4c2?\nAnswer: 18a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -4. Let g(s) be the second derivative of s**5\/20 - 11*s**4\/12 + 5*s**3\/3 + 4*s**2 + 5*s. Calculate the smallest common multiple of v and g(10).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y - 1446*y**2 - 4*y + 516*y**2 - y**3 + 483*y**2 + 447*y**2.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 41888685 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - (-3)\/2)*(1810 - -4)?\nAnswer: 3, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -367 + 363. Suppose 2*m + 4*g + 10 = 0, -4*g - 1 - 3 = 0. Let a(h) = h**2 + 3*h - 3. Let o be a(m). Put o, -11, j in decreasing order.\nAnswer: o, j, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 + (-5 - (-1 + -5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 73 + 2. What is the remainder when 39 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/9 (b) 0.5 (c) 4\/53 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46602 is divided by 2227.\nAnswer: 2062","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 979 = 4*w - 0*b - 3*b, 5*b - 483 = -2*w. What is the lowest common multiple of w and 32?\nAnswer: 1952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 6*w**2 - 4*w + 1. Let u(x) = 3*x. What is the remainder when m(-2) is divided by u(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7\/248 - -3\/31. Let c(i) be the third derivative of 0 - i**3 + d*i**4 + 0*i - 4*i**2. Determine c(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2*m + 101, -4*s - 143 = 2*m - m. Let w = 34 - 93. Let l = s - w. Calculate the greatest common divisor of l and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3739739 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*x + 2*l, -3*x - 5 = -4*x - 5*l. Suppose 4*q + 104 - 116 = x. Let b = -6 - -16. Solve -q*z + z = b for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 2*o + 3. Let n be m(2). Let k(r) = -r**3 + 3*r**2 + r + 2. Let f be k(n). Suppose 4*c - 1355 = f*u, 0 - 3 = u. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 + e7a6dc?\nAnswer: e7a6e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 1234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**2 + 2*h + 2. Suppose 4*v = -9 + 1. Let b be z(v). Suppose -4*r + b*i - 4*i = -20, -2*r + 8 = -2*i. Solve -2*m + r = m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 12*v + 3. Let i be r(12). Find the second derivative of -i*f**2 - 3*f**2 + 0*f - 7*f - 3*f**2 wrt f.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-10)*((-44)\/154 - 370\/(-70))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1215, 2446, 3679, 4914, 6151?\nAnswer: 7390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24036)\/(-45) + 14\/(-105). Let r = 1871 - x. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -5*l**3 - 2*l**2 + 2*l - 1. Calculate q(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**6\/120 + i**5\/10 - i**4\/3 - 2*i**3\/3 - i**2. Let q(a) = 2*a - 1. Let o be q(-3). Let z be h(o). Solve z*m - 2*m = 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42959 and 55216.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-112)\/(1120\/(-20)))\/40\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z*z**(3\/11)*z)\/z*z))**(1\/5)*(z\/z**(-9))\/z**(-16))**(-43) assuming z is positive.\nAnswer: z**(-60888\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/1188 and 35\/1452.\nAnswer: 13068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27? (a) -5 (b) 0 (c) -7 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -3*h**3\/4 + 50739*h**2 - 1217607*h\/4 - 710283\/2 = 0.\nAnswer: -1, 7, 67646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**2 + 10*v - 10. Let h be 0\/(8\/(3 + 1)). Suppose 16 = -h*b - b + 3*n, -n - 38 = 4*b. Let s(k) = k - 1. Determine b*s(g) + r(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10480\/3 less than 3492?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*j + 7, v - 5*j - 18 = 0. Let f be (v\/114)\/((-16)\/(-24)). Is f at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 61650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2415\/2*b + 3\/4*b**2 + 1944075\/4.\nAnswer: 3*(b + 805)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8771859.\nAnswer: 3, 974651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -253246*a - 1012983. Calculate x(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p + 5. Let w(j) = j + 2. Let l(a) = 2*i(a) - 5*w(a). Let d(g) = -g. What is -12*d(n) + 5*l(n)?\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2994215 to the nearest integer?\nAnswer: 1730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -8 - 33 - 24 - 11 - 188*a. Let x be b(-27). Round x to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = c + 5, 5*c = 2*k - 1 - 3. List the prime factors of (47*-1 + -2)\/(3\/k).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 + (-28)\/(-8))*1*44. Suppose 0 = -5*n + 78 + y. Suppose 2*g - 13 = 47. Calculate the highest common divisor of g and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-1) + (16 - 10). Suppose z + 12 = u*d + 114, 426 = 5*z + d. Calculate the remainder when z is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 176 = -2*q + q, -4*q - 44 = m. Let g = m - -135. Is g a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 4.51, 4, 5, -3, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 to the power of 1\/2, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.18, -5, 1\/3.\nAnswer: -5, 0.18, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -14.6 times 21\nAnswer: -306.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 239964, 480220, 720476?\n\"Answer: 240256*o - 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3859 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35\/27 + 203\/27. What is the common denominator of g and 1\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 279307 - 140143 = 0. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2189121701?\nAnswer: 13, 43, 61, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(6\/(-36)*-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 - 2*g**2 + 2*g**2)*(124 - 124 + 22*g).\nAnswer: -22*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x**2. Let k(p) be the first derivative of 15\/2*p**2 + 0*p + 1. Give s(k(m)).\nAnswer: 675*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 56954 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 13*m + 34 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 871042 to the power of 1\/3, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -14\/3 (b) 2\/7 (c) -4 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1404 divided by 1443\nAnswer: -36\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from eeqqqeqqqqqeqqqqqe?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 167300000 to the nearest 1000000.\nAnswer: 167000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 366295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0*h + 2*h - 1)*(-1 - 5 + 2).\nAnswer: -8*h + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -22506*c**3 - 32252*c**2 - 11200*c + 256 = 0. What is c?\nAnswer: -8\/11, 2\/93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 15*u - 25. Let r be (-8)\/32 + (-9)\/(-4). Let c be v(r). Solve 7 + 6 = h - 5*q, c = h - q for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*v**3 + 7*v - 15*v**3 - 2*v + 2*v**3.\nAnswer: v**3 + 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 4:59 PM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*l + 5*z = 20, 3*z - 12 = -3*l. Let n be (l - 3)\/(1 - 2). Let d = 0.22 + -0.02. Which is the third biggest value? (a) d (b) -2\/15 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, c: 1, v: 3, r: 2, u: 1, w: 1}. Give prob of picking 1 r and 1 c.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from svvvossovv. What is prob of sequence ov?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 - -4)*18\/12. Solve -4*k - 2*u + 30 - 8 = 0, -5*u = -j for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9566.339kg to milligrams.\nAnswer: 9566339000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -28305 and -443.\nAnswer: -28748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - h. Suppose -3*a = -4*a - 3*p, 4 = -4*p. Let c(f) = -3*f**2 + 2*f**2 + 0*f**3 - f + 2*f**a. Determine -2*c(v) + 2*n(v).\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13035223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 356529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7172 - 78956\/11. Which is the second smallest value? (a) 0 (b) -0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-6)*1)\/((-10)\/7800*65)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 1176\/1187?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-6) - 3\/18. Let o be 0 - (q + 15\/(-5)). Solve -o = -2*t + 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -539?\nAnswer: -539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - s - 26 = 0, -29*c + 26*c + 34 = -5*s. Calculate the least common multiple of c and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 5*s - 4. Let g be v(-3). Let r be 4 - -10 - (8 - -7). Is (r - -2) + g + (-8796)\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2031618.\nAnswer: 2, 3, 571, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 26208, 52425, 78640, 104853, 131064, 157273?\n\"Answer: -t**2 + 26220*t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -2.4.\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -1002121111110?\nAnswer: 1002121111021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = -11*y + 9. Suppose -3*z + 9 = -y. Suppose -5*j - z*v = 3680, 3695 = -6*j + j - v. Round j to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -o**4 + 28*o**3\/3 + 238*o + 310. Differentiate b(y) with respect to y.\nAnswer: -12*y**2 + 56*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0057579998 rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*t + 550 = -536 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6652 - 5?\nAnswer: 6644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/7)*i**(1\/3)*i*i**9*i*i\/((i\/((((i\/(i\/i**(1\/4)))\/i)\/i)\/i))\/i) assuming i is positive.\nAnswer: i**(817\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 48652013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - 5) + 39 + 3. Suppose o = 4*n - 132 - b, 4*o - 215 = -5*n. Let j(d) = d + 15. What is the remainder when n is divided by j(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -s**6\/24 + s**4\/24 - 4*s**2 - 4. Let l(j) be the second derivative of g(j). Find the second derivative of l(o) wrt o.\nAnswer: -30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 24733 + 15315 = 4*u, -2*v = -u + 10012. Let a = 16251 - u. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (0 - (-4 - (-1 + -1)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.252 in -1\/3, -2\/5, 81?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvqqqqvtqqqqqt. What is prob of picking 2 t?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124635?\nAnswer: 3, 5, 7, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 9:43 AM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -33*d + 32*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 v, 1 i, and 1 m when four letters picked without replacement from {d: 3, i: 6, b: 1, o: 1, v: 2, m: 2}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 191317773877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.00704*-13.\nAnswer: 0.09152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -355*t + 151. What is the thousands digit of k(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttt. Give prob of picking 2 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 13, s: 5}. What is prob of sequence ii?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22160822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3354406.\nAnswer: 2, 11, 17, 8969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -47*m + 39*m + 8 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -7*p. Let g(s) = -s**2. Let u(x) = -x**2. Let a = -16 - -21. Let t(k) = a*g(k) - 6*u(k). What is j(t(d))?\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 907, 1582, 2257, 2932, 3607, 4282?\n\"Answer: 675*n + 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 - -29. Suppose u - 117 = -94. Calculate the greatest common divisor of j and u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -16, -1\/13, -7?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z - 10. What is p(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*i - 3. Let u(k) = 4 + k - 4*k + 2*k. Let a be u(0). Solve 14 = -i*f + a for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 72193 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(-21*q + 5*q - 2*q) - 8*q + 38 - 38.\nAnswer: 28*q","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -448 - -648. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*x - 35*x - 14*x)*(2*x + 2*x - 2*x)*(-13*x**2 + 5*x - 5*x).\nAnswer: 754*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 e, and 1 m when four letters picked without replacement from ddmdddmdemwmmwmwd.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -594*-8\nAnswer: 4752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -17.7. Let l = -0.7 + h. Sort -0.2, l, 4 in ascending order.\nAnswer: -0.2, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + j + 210. Let n be y(0). Calculate the common denominator of -73*1\/n - 1\/(-3) and 105\/22.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of 137*h**3 - 7*h**2 - 15*h - 16. Let a be k(-1). Round a to the nearest 10.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -11\/7, -0.2, -2, -4\/53, 7?\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 - 8*n + 38. Let z be g(-10). Let d(r) = -r**2 + 16*r + 36. Let k be d(z). Which is greater: k or -69?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*r**2 - 107*r**2 + 47*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 35*z + 420. Let s be c(-10). What is the highest common factor of 350 and s?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11378*x**3*y**2 + 2980*x**3 - 2*x**2*y + x + 2*y wrt y.\nAnswer: 22756*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c - 663. Let o be v(0). Let k = o - -2009. Let l = -1906 + k. What is l rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, 3, -1\/5, -2\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207 is divided by 105.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8647, 69439, 234449, 555787, 1085563, 1875887?\n\"Answer: 8685*l**3 - l**2 - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oqq when three letters picked without replacement from oqqo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*g = -o + 33*g - 6, -2*o + 5*g = -9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40699.999974547 - -40700. Round d to six decimal places.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d = 226 - 130 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -5*y - 1. Let b(u) = u**2 - 3*u - 5. Let p be b(4). Let g be l(p). List the prime factors of (11\/4)\/(1\/g).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 30 = -2*f. Let w(t) = t**2 + 17*t + 70. Let g be w(-10). Is f at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = 29*d - 168 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.5802968 millennia?\nAnswer: 6963.5616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*q**5 - 1550*q**4 + 4605*q**3 - 1660*q**2 + 160*q = 0. Calculate q.\nAnswer: 0, 1\/5, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + (4 - 6))*8\/(-1). Suppose 2*b - 4*y - 20 = 0, 4*y + s + 4 = -2*b. Solve 0 = -4*o + 2*o + b for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9ccb76 + 6?\nAnswer: 9ccb7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -2*l**6\/15 - l**2. Let g(i) = 14*i**2 - 5*i**2 + i**3 - 7 - 4. Let d be g(-9). Let q(p) = 3*p**3. Calculate d*q(y) - 2*j(y).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-7)\/(-14) + (-39)\/(-416)*-66 and (-1)\/3 - 2\/(-4).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2900005 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 7:55 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f - f - 3*f.\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 211 + 10?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4458294041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*0.008.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/3 - 171352*n**2\/3 - 7340548325*n\/3 - 14680411250\/3.\nAnswer: -(n + 2)*(n + 85675)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -68952 - -68962. Suppose 2*y = 4*p + 4*y - 1232, p + 4*y = 294. What is the greatest common divisor of b and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14077 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of o**4 + 4*o**3\/3 - 108*o**2 - 576*o + 4046. Find p, given that c(p) = 0.\nAnswer: -6, -3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**3 - 2*u**2 - 7*u - 2. Is n(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/21, 0.1, 16\/47, -7, 102 in increasing order.\nAnswer: -7, 2\/21, 0.1, 16\/47, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 109\/1260 + 4\/63. What is the common denominator of 11\/32 and w?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, t: 3}. What is prob of picking 1 w and 1 t?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 9*g**2 - 2*g + 1. Calculate x(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 648\/(-756) + (654\/(-63))\/(8\/24).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001353 rounded to 6 decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -992*i - 8526 - 15774 = -182*i for i.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 22298, 178466, 602376, 1427900, 2788910, 4819278?\n\"Answer: 22312*v**3 - v**2 - 13*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7 and 884.\nAnswer: 877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 20 - 36)*(-1 + 1 + 2*r)*(0*r + 2*r - r).\nAnswer: -70*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.287523l in millilitres?\nAnswer: 9287.523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 642.196317 + -642.2. What is x rounded to 4 dps?\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357*t = 354*t - i - 5, 55 = -5*t + 5*i for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -11. Suppose 3*r = c - 4, 5*c = -5*r + r + 39. Let f = c - x. Solve 12 = -4*m, 2*m + 9 = f*o - 3*m for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -171, -176, -191, -222, -275?\n\"Answer: -x**3 + x**2 - x - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 127872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 17. Let l be (15\/(-1))\/(3\/(-2)). Let y be 62\/l - (-5)\/(-25). Solve -6*f - m - y = -f, -4*f = -2*m + k for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -415012 (base 8) to base 6.\nAnswer: -2541402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 139316254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.13? (a) -1 (b) 2935 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61 - 76 - (-2 + 2 + 1).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10836 and 216?\nAnswer: 65016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tnnnnnnnnntttnntnnnn. What is prob of sequence ntt?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*sqrt(135) + -5*sqrt(135)*2)\/(sqrt(12)*-4 - -6*sqrt(48))*1.\nAnswer: -27*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((-21)\/6)*(-4)\/8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1070 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(847)*-3 - sqrt(847)*-2*4) + (6*(sqrt(70) + (sqrt(70) - 3*sqrt(70))) - sqrt(70))\/(sqrt(80)\/sqrt(8)*-4).\nAnswer: 3 + 227*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 524016.0414138415 - -5309.2465879385. Let f = 529325.4 - k. Let m = f - 0.112. Round m to 7 decimal places.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = 17*n - 6 + 11 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -1053600?\nAnswer: -1053562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 74 + -72. Suppose -58 = -g*r + 2*y - 4*y, -3*r = -2*y - 72. Does 13 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -518522.489 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 60953.78ug?\nAnswer: 0.00000006095378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121 = -14*y + 26*m + 25*m - 81*m + 28*m - 9, 3*y + 2*m = -31 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (28 + 18 + 8 + -47)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(720)*-2)**2.\nAnswer: -96*sqrt(5) + 2884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2609366 minus -51925215?\nAnswer: 54534581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-14) - 216\/(-21). Let y = -4 + r. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 4*o + 4. Let l = -9.3 + 10.6. Let g = l - 3.3. Which is the nearest to o? (a) g (b) -4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l + 5. Let r(u) = -3*u + 11. Let i(w) = 6*o(w) - 3*r(w). Calculate i(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -5*(sqrt(833)*2 + 1) - (sqrt(833) + sqrt(833) + 3*sqrt(833) + -2 + sqrt(833) + (1 + sqrt(833))*6))*4)**2.\nAnswer: 49280*sqrt(17) + 6452352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 49*o**2 - 11*o. What is b(1)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 84584077.66 rounded to the nearest 100000?\nAnswer: 84600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j*j**(1\/11)*j*j*j**(-9)*((j*((j**(2\/5)*j*j)\/j)\/j*j)\/j)**(-38) assuming j is positive.\nAnswer: j**(-3196\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -629.0002335 - -629. Round o to 5 decimal places.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + (-186)\/(-15))*15\/2. Do r and 78 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/10*(85 + 341\/(-11)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of d**5\/60 + d**4\/8 + d**3\/3 - d**2. Let v be q(-2). Which is smaller: -1\/29 or v?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.02 + -16.02. Let b = -22 - k. Let d = -2.4 - -7.4. What is the biggest value in b, d, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*a + 8 = 0, 0 = -5*a + a - 16. Suppose g*s - 3*s - p = -295, -2*p + 299 = 3*s. List the prime factors of s.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + 3*sqrt(76))*-1*-1 + 3 + 2)**2*2*5.\nAnswer: 800*sqrt(19) + 12410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.134 * 440.\nAnswer: -58.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x + 32 + 3316 = 0. Suppose 4*f - x = 101. Is 53 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -127 + 127. Suppose 11*j - 17*j + 564 = c. Does 23 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**2\/7 + 32*y\/7 + 48\/7 = 0. What is y?\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -9514*u - 66603. Determine h(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (15\/10)\/((-1)\/(-52)). Let t = -69 + d. 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 265\/5 + -396 + 355?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/2 (b) -0.1 (c) 0 (d) 1\/2 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -7 - (-10 + 8)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 1. Let s = -180.7142 + 0.0142. Let z = s - -181. Which is the nearest to 2? (a) 1 (b) i (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.285 times 319\nAnswer: 90.915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80))**2*5*-5*-3.\nAnswer: 6000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, d: 2, n: 3}. What is prob of sequence nnvd?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**2 - 2*c - 2. Let y(p) = 4410*p**2 - 7*p - 266. Let d(u) = -6*j(u) + y(u). What is the second derivative of d(h) wrt h?\nAnswer: 8784","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 7*j**2 - 11*j - 3. Let v be a(-8). Suppose 8*t - 3*t - d + v = 0, 0 = -t + d - 1. Let q(n) = -n**2 - 4*n + 5. Give q(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 3. Suppose s*a - 6*a = -27. Find the second derivative of a*j**4 + 3*j - 2*j + 3*j**4 wrt j.\nAnswer: 144*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5326 + 5321.546. Let k = 0.054 + a. Let s = 4 + k. What is s rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + k = -1456. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o + 5. Let c be h(-7). Let w = -30 + 28. Sort w, c, 1 in increasing order.\nAnswer: w, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + (-3)\/1)*-3 - 3. Suppose -4*q - 5*f - 6 = 0, m*f + f + 5 = 3*q. Let j be (-1)\/(-2) - (-1)\/(-2). Solve 4*d - 5*d + q = j for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -n**4\/4 + 3*n**3 - 9*n**2\/2 + 12*n + 3. Let q be j(8). Solve 3*c - 2*c - q = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**2*n*s*u - g**2*n + 238*g**2*s + 2*g*n*u + 3*n*s + 4*n*u + 2*s + u wrt g.\nAnswer: -2*n*s*u - 2*n + 476*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -3. What are the prime factors of (2\/g)\/((-2)\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 59 (b) 0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 37 divided by -2532\nAnswer: -37\/2532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -834 + 970. Is p a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 3:19 AM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6\/737 + -653\/10318. What is the fourth smallest value in -1\/2, 0, h, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/532 and 29\/44?\nAnswer: 5852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 875 = 27*u + 335. What is the third derivative of 0*g**6 - 5*g**6 - 3*g**5 - 3*g**6 - 4426*g**2 + 4425*g**2 + u*g wrt g?\nAnswer: -960*g**3 - 180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-114))\/((-3)\/(-20) - (-126)\/(-315))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 12 - 2 = 5*s, -5*w - s = -2. Suppose w = -4*i + 22 + 30. What is the remainder when i is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -1989624*z**2. Let r(f) = 39*f + 1. Calculate r(j(g)).\nAnswer: -77595336*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 19*t + 5935. Does 29 divide d(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -522*g + 531*g. Solve -4*k - g*k = -36 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 124339986?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -209331.5248 and 893.1.\nAnswer: -208438.4248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 19.13068 years?\nAnswer: 0.01913068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 10:21 AM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97045001 divided by -4.\nAnswer: -97045001\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 7:28 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + -1. Let f = r + 12.00072. Round f to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ejeejejjiejee. Give prob of picking 2 j and 2 e.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqqqqqq. Give prob of sequence qqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4 - 4. Suppose -14 = -y*f + 3*f. Suppose 0 = -4*r - 16 + 64. What is the smallest common multiple of f and r?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 520652236?\nAnswer: 2, 13, 10012543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 15*o**2. Let d(p) = 2*p**2 + 178*p. Calculate d(y(h)).\nAnswer: 450*h**4 + 2670*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -7. Solve 0*q + q - r = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 5*i**2 - 8*i - 13. Give b(7).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -336 by -2.\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.6 less than 4098?\nAnswer: 4109.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b - 6*b + b - 2 + 2 - 3*b + 3*b - 6*b + 2*b + (6 - 4 - 4)*(-2*b - b + b) + 3*b - 2*b + 0*b + 6 - 2 - 2 - 5*b.\nAnswer: -7*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95.172*2.35.\nAnswer: -223.6542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2008 = -b, 15*b = 11*b - 3*j + 7986. What is the hundreds digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 3. Let b(i) = -6*i + t - i**2 + 5 - 2. List the prime factors of b(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**2 - 19*a + 90. Let y be r(-20). Let t = y + 332. Solve -3*k + k = t for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -12, 5 in descending order.\nAnswer: 5, 1\/3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 3:50 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23 + -21?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - 480450?\nAnswer: -480450.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 74*v**2 - 217*v - 1080. Give s(77).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 6*d**2. Let u(w) = -11633*w. Calculate u(k(t)).\nAnswer: -69798*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 24036 to the power of 1\/2, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 339005325 to the nearest integer?\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(96)*2 + sqrt(96))\/(sqrt(300)*-1))\/(sqrt(100)*-6 - (sqrt(64)*3 + sqrt(64) + sqrt(64))).\nAnswer: 3*sqrt(2)\/250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-0.0188.\nAnswer: -0.0094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*z - 1. Let c be (4\/(-5))\/(z\/20). Let m = -7 - c. What is the lowest common multiple of m and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -0.026343329\nAnswer: 0.052686658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**2 - 4*k - 12 = 0.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -518 - -586. Does 2 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.3 + -2773788.\nAnswer: -2773777.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**3 + 3*v**2 - 6*v + 28. What is the tens digit of p(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - 24 + 49 + 12745*w**2 - 12680*w**2.\nAnswer: 65*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**3 + 82*f**2 - 63*f - 2604. What is g(-41)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 0*s + s + s + 0*s + s + 0*s + s + 0*s + (-s - 1 + 1)*(-2 + 0 + 0) + 56105 - 56105 + 481*s)*(-1 + 1 + 2*s)*(1 - 1 + 1).\nAnswer: 970*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n - 48432*d + 48435*d + 3 = 0, -2*d = -4*n + 2 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1909*t - 5*h + 72 = -1901*t, -5*t + 4*h - 12 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 8:43 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 6 = -12 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -3\/4, -1.10638?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - 1 - (-20 + 13) - (7 - 53)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1596 = 887*y - 893*y. Calculate the remainder when y is divided by 34.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1668 + 1238*u**2 + 1248*u**2 - 1668 - 2487*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 51 + 4 + -8 + 3. Let s = r + -29. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of 0*d**2 + 0 + 5\/6*d**3 - 4*d. Let y(m) = -4*m**2. Calculate f(y(v)).\nAnswer: -20*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 33 and 33 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 46.8797 and 175.\nAnswer: 8203.9475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (100 - 116) + (35 - 2)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 253092 and 2.\nAnswer: 253092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 152170824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -3*q + h, -h = 849992*q - 849990*q + 30 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*x - 158 + 32*x + 68 + 2*x**3 to the form v + q*x**3 + b*x**2 + i*x and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 10:18 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 6\/(-9) + 96\/9?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 u, and 1 c when three letters picked without replacement from pclclug.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 t when two letters picked without replacement from yryty.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1041 + 2223?\nAnswer: 1132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**22*m)\/m*m\/(m\/(m*m\/(m**(-3\/4)*m))*m))**(2\/27) assuming m is positive.\nAnswer: m**(95\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**3\/13 - 842*a**2\/13 + 48608*a\/13 + 9225600\/13 = 0.\nAnswer: -75, 248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a decade in months?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11785670 is divided by 397.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 - 3030*v + 24560.\nAnswer: -5*(v - 8)*(v + 614)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fdd when three letters picked without replacement from fddffd?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 854*p**2 - 98*p + 98*p + 21370*p**2.\nAnswer: 22224*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w**2 - w + 2. Let j be q(-5). Let v = -58 + j. Calculate the remainder when v is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - ((13 - 9) + (-3 - (-12 - -10)))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -542443 (base 7) in base 13?\nAnswer: -34063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - b. Let f(g) = -2*g + 1. Let v be f(1). Let a be (-16)\/(-4)*v\/2. Determine d(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -d**4\/4 - 7*d**3\/3 + d**2\/2 + 4*d + 1. Let n(q) = -28*q**3 - q**2 - q + 1. Let o be n(2). Let l = -236 - o. Give x(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*2.3\nAnswer: -1.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -13297.399 to the nearest one hundred.\nAnswer: -13300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 + -3 - 3) + (-2 - 40).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*y + 10 = 0, 3*a = -2*y + 2 + 2. Let s = 1 - a. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1745*w + 2356 = -30799 for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.11, -5, -1\/9 in ascending order.\nAnswer: -5, -1\/9, 0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -16 + 53*m + 16 + 10*m. Let j be x(1). Let d be 4\/6*j\/(-49). Which is bigger: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-2) + 10\/(-4). Let u be (-3 - (g + 2)) + 5. Suppose 2*v + 2*n + 2*n = 66, 9 = v - 4*n. Solve -v = -u*x - 2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 353 = 28*i - 767. Suppose -2*j = 3*o - 13, 2*o = 7*o - 2*j + 5. Let z be ((-4)\/3)\/(o\/(-6)). Calculate the greatest common factor of i and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 4*i - 3. Let v be p(-6). Suppose 0 = g, -4*g + v*g = -5*t + 240. Suppose 2*f = -d - d + 34, 0 = -2*d + 5*f + t. Is d a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.880622ml to litres.\nAnswer: 0.003880622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4426, -8848, -13268, -17686?\n\"Answer: k**2 - 4425*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(2\/3))\/(i**(2\/3)\/i)*(i\/(i\/(i\/i**(-4)*i)))\/(i**4\/i))\/(i**(-2\/25)*i*i**(-2)*i**(-6\/11)*i\/i**(-2)) assuming i is positive.\nAnswer: i**(1891\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 16*d**2\/3 + 98*d\/3 + 4 = 0.\nAnswer: -6, -1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -2*j + 4*f - f, -j = -5*f + 17. Let s be ((-3)\/2)\/(j\/32). Suppose s*z = 3*b - z - 56, 0 = 2*b + 5*z - 29. Solve -5*g + 2 = b for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -81*w - 223. Does 25 divide s(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 39*z**2 + 27. Let d(f) = -f**2 + 11. Let y(l) = l**2 - 14. Let w(j) = 5*d(j) + 4*y(j). Give 2*n(b) + 54*w(b).\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231*k = -229*k + 8. What is the biggest value in -3\/5, 0.3, 1, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 443 divided by 3.\nAnswer: 443\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1 + sqrt(72)\/(sqrt(4) - (sqrt(4) + (3*sqrt(196) - sqrt(4)) + sqrt(4))))**2 + -1.\nAnswer: -2*sqrt(2)\/7 + 247\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 783*y**3 - y**2 + 25*y. Let d(h) = 391*h**3 + 10*h. Give -5*d(j) + 2*z(j).\nAnswer: -389*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z\/(z*((z\/z**(1\/14))\/z)\/z*z))\/z*z))\/z)**(-8\/13)*z*z\/(z*z**(-2\/51))*z**(13\/4) assuming z is positive.\nAnswer: z**(80441\/18564)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233*v + 1879 = 20519. What is the highest common divisor of v and 3140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.44595738 rounded to two dps?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4 + 4396*r**3 + 355152*r**2.\nAnswer: 2*r**2*(r + 84)*(r + 2114)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*u**4)*(2 - 46*u + 223*u - 83*u).\nAnswer: 188*u**5 + 4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 4*n = 29314, 11725 = 2*q - 4*n + 5*n. Let f = q + -361. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*g + 35, 803*x - 4*g = 792*x + 95. Factor x - 5\/4*j**3 - 5*j**2 + 5\/4*j.\nAnswer: -5*(j - 1)*(j + 1)*(j + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(30\/(-6))*(-5)\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1031*w - 1037*w = 36 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 28*m**2 - 62*m - 9. Let y(w) = 23*w**2 - 63*w - 8. Determine -6*y(i) + 5*z(i).\nAnswer: 2*i**2 + 68*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gqtq when four letters picked without replacement from {t: 16, q: 1, g: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*g + 5*g + 32. Find the first derivative of -10 + g - 2 + 16*k wrt k.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -290, -1430, -3328, -5984, -9398, -13570, -18500?\nAnswer: -24188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -46721100 to the nearest 1000000.\nAnswer: -47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 5 + 6 + (4 + -7 - -1 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + f**2 + 2*f + 37. Let j = 1 + -1. List the prime factors of p(j).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/5)\/(12\/(-10))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.60886161 less than 45779?\nAnswer: 45776.39113839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 427 - 426.6. What is the nearest to 1\/4 in y, -1, -12?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -634, -747, -922, -1147, -1410, -1699, -2002, -2307?\n\"Answer: 2*y**3 - 43*y**2 + 2*y - 595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1336 (b) 4 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 3:15 PM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 1728?\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m. Suppose -23*d + 802 - 112 = 0. Let r(y) = -22 + 18 + 6 - d*y. Calculate i(r(s)).\nAnswer: 60*s - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 42464.9537 rounded to the nearest one thousand?\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1364a1 (base 13) to base 5\nAnswer: 110032330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3104?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*r**3 + 0 + r**4 + 13*r**3 - 24*r**3 + r - 2 as z*r**2 + i*r**3 + v + t*r + o*r**4 and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r**2. Let u(z) = -2*z**2. Calculate 3*m(d) - 4*u(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 27741962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2*g = 6, -3 = 2*g - 3*g. Suppose 4*t - 2*f - 32 = -4*f, u = -4*t + f + 26. Let q = 13 - t. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 54, 91, 176, 333, 586, 959, 1476, 2161?\n\"Answer: 4*z**3 + 9*z + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r + 3. Let w(x) = -x + 1. Let l(y) = -1. Let g(d) = 5*l(d) + 2*w(d). Suppose 6*z + 24 = 2*z. Let k(h) = z*g(h) - 7*b(h). Give k(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-66) - (-5037)\/(-6072)?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u - 2. Let w = 14 - 12. Let t be l(w). Let m(r) = r - 9. Let s be m(7). Is t smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/1*(-8)\/(-10). Let x = -5 + j. Suppose -t - 75 = -5*o, -x*t - 2*t - 60 = -4*o. Solve -2*a = a - o for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13666057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 15 = 2*i. Let n be 1\/2*(-1 + i). Suppose 20 = -3*q + 8*q. Solve q*y = y + 9, -9 = 3*m + n*y for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4*sqrt(208) + (-1 + sqrt(832) - sqrt(832))**2 + 1.\nAnswer: -16*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-1)\/(-1) + (-20 - -17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -231*k - 215. What is the remainder when 458\/6 - 2\/(-3) is divided by i(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 806052621 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*u + 29*u - 42 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of 1\/660*h**6 + 0*h**3 + 0*h - 7\/330*h**5 + 0*h**4 + 30 - h**2. Let u(p) be the second derivative of w(p). Factor u(m).\nAnswer: 2*m**2*(m - 7)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*l + 2*b + 50, 18 = l + 5*b. Let v(f) = 2*f - 17. Calculate v(l).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddhnmdmm. Give prob of sequence hhhh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-11))\/(1330\/(-7315)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17113.94656356 - 2.69241356. Let r = 16975.26 - j. Let u = r - -136. What is u rounded to four dps?\nAnswer: 0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3165 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.391344 millennia in months?\nAnswer: 4696.128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 1271 and 1265 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 823064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 157232, 314453, 471662, 628859, 786044, 943217?\nAnswer: 1100378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 8*t + 10. Let i be r(-1). Solve -4 = 3*j + i for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*v**2 + 1682743344*v - 176976572611018896 = 0. What is v?\nAnswer: 210342918","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 202.97 - 202. Round h to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 1424*c - 1424*c + 229*c**2 to h*c + n*c**2 + w and give n.\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 61?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -33 in 0.4, -0.5, -80\/11?\nAnswer: -80\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 158.16 + -158.36. Let v be 17\/(-20) + (-1)\/(-4). What is the smallest value in q, v, -2\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (79 - 78) + -16 + 1\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 10000100111000100001?\nAnswer: -10000100111000100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5018*c + 17017*c + 7716*c.\nAnswer: 19715*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 5*d + 9 = 0. Find the second derivative of -2150*a**d + 2150*a**3 + 17*a - 17*a**5 wrt a.\nAnswer: -340*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1395777s in minutes?\nAnswer: 0.002326295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**7*y\/(y**2\/y*y)*y**34\/(((y\/(y\/(y*y**20))*y)\/y*y*y)\/y*y) assuming y is positive.\nAnswer: y**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/3257 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 25*k**2 - 24*k + 17. Let r be z(24). Let i(s) = -17*s - r*s - 14*s + 46*s. Let v(m) = -47*m. Calculate v(i(t)).\nAnswer: 94*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -47, -54, -23, 58, 201, 418?\n\"Answer: 2*l**3 + 7*l**2 - 42*l - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.7144 bigger than -5517?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 13.51896\nAnswer: 4.055688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1186)\/70 + (-290)\/5075?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-24) - (-122)\/8. Let a be (v\/(-10))\/(3\/28). Let g be a\/(-4) - 1\/(-2). Solve -g*p + 0*p - 8 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4489 - 4459. Solve 2*c = n + 6, -5*c - w*n + 14 = -33*n for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of 0*o + 1\/4*o**4 + 0 + 5\/6*o**3 + 5*o**2. Let w(m) = -m - 1. What is -f(z) - 5*w(z)?\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 549 - -272. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**3\/7 - 2904*u**2\/7 - 17802*u - 188244 = 0. Calculate u.\nAnswer: -21, 1494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 13) to base 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2110*z + 19003. Determine d(9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - v + 4. Calculate l(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -9. Suppose -3*p + 2*j + 3 = k*j, -2*j = -2*p + 2. What are the prime factors of (p - 1\/3)*6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28.6 - 34. Let b = -544 - -541.6. Let h = v - b. Is -0.01 at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 6, 2\/7, -3.1, 2, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4\/7 (b) -15\/431 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -d*o*t*w - 4*d*o*t + 2301*d*o*w - 102*d*o - 64*d*t - 3*o*t*w + 2*o*t wrt w?\nAnswer: -d*o*t + 2301*d*o - 3*o*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274031*h - 294 = -274178*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.47379588 to three decimal places.\nAnswer: -0.474","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 22 = -6. Suppose -s - r*x + 9 = -2*s, 0 = 4*s - x - 9. Let f = -1 + 1. Sort 1\/4, f, s in ascending order.\nAnswer: f, 1\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 307 = w, -5*w + 5*g = g - 1580. What is the highest common factor of 24 and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -q**5\/20 - 10*q**4\/3 - 7*q**3 + 58*q**2 - 2*q + 4. Is s(-39) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m**2 - 7*m - 3. Let k be (20\/(-6))\/(4\/(-6)). Let o(n) = 2*n**2 + 6*n + 2. Determine k*o(y) + 4*z(y).\nAnswer: -2*y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 89533363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10065 smaller than 10054?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2*z - 23 = 0, -2*d + 13 = -0*d + 3*z. Let l be ((-24)\/18)\/((-8)\/12). Put d, -4, l in descending order.\nAnswer: d, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000275392 rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39191*l**3*m**3 + l**3 + 65*l*m**5 + 2102831*m**2 wrt m.\nAnswer: -235146*l**3 + 3900*l*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3714654*s. Let x(z) = z. Give p(x(l)).\nAnswer: -3714654*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 42052422077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (39 - -18 - (-15 - 19))\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/8*24\/6?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 10*q - 2. Let n be x(-9). Suppose -52 + n = -5*v. Is 2 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -5\/3*x**3 + x**4 + 45 + 1\/2*x**2 - 3*x. Let q(a) = -3*a**3 + 4*a**2 - a + 2. Calculate -2*h(v) - 3*q(v).\nAnswer: v**3 - 2*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = z - 2*s, 2*z - 16 = 5*s + 7 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220*w = -m - 1100, 31966*m = -5*w + 31963*m + 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c - 27*c - 928 - 3*c + 928 + 3*c + 3*c.\nAnswer: -16*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4141 + -59?\nAnswer: -419a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of 2*w**4\/3 + w**3\/3 - w**2\/2 + 7*w. What is o(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 143.955472 and -1.38.\nAnswer: 142.575472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(14\/5)*u*u**(15\/4) assuming u is positive.\nAnswer: u**(151\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppppppppp. Give prob of sequence ppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/20)\/(-7 - 136\/(-20))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 3776087?\nAnswer: -4\/3776087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1110201210100 (base 3) to base 11\nAnswer: -494638","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2286 + 0*f - f + 2*f + 0*f to the form r + g*f and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/4*2)\/((-3498)\/1272)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, i: 3, x: 4, f: 1, k: 3, e: 3}. What is prob of sequence xidi?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -732*i**4 + 42519*i**3 - 4*i**2 + 14*i - 154944.\nAnswer: -17568*i + 255114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -21*h - 4. Let i(q) = 83*q + 18. What is -4*i(s) - 18*n(s)?\nAnswer: 46*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2 - 9*g - 77*g - 13*g. Let p be y(-4). Suppose 0 = -5*b + 3*x + p, 2*b - 5*x = 190 - 27. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-26)\/(w*w\/(w\/w**(6\/25))) assuming w is positive.\nAnswer: w**(-681\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 132694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((10\/(-4))\/5). Let j(c) = -2 - w + 0 - 2*c. Let s(x) be the second derivative of -2*x**3\/3 - 7*x**2\/2 - 2*x. Calculate 5*j(h) - 3*s(h).\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 0 + -1 - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + 0)*3*2 + -2)**2 + (sqrt(168)\/sqrt(3))\/(sqrt(242)*1).\nAnswer: -262*sqrt(7)\/11 + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*a**2 - 43124*a + 101751 - 101751 + 43124*a.\nAnswer: -13*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d. Let b(n) = 84*n. Let t(m) = b(m) - 9*l(m). Let h(z) = z. Determine t(h(q)).\nAnswer: 66*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 3, 1, -27 in increasing order.\nAnswer: -27, 1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*(-7)\/476 - 8\/68.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.34 - 0.34002. What is h rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1503769 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 605403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 2*a**2 - 12*a - 4. Let i(s) = 2*s**2 + 12*s + 5. Give -5*h(l) - 4*i(l).\nAnswer: -5*l**3 + 2*l**2 + 12*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.1139 to 0 dps.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 10 = 23. Let m = -10 + l. Suppose 4*w + m - 21 = 0. Sort w, 0, 1 in decreasing order.\nAnswer: w, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 22 = 5*r, -4901*r + 10 = -4906*r for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32632 + -1631681\/50. Calculate the common denominator of u and -18\/55.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 2*o + 12, 6*o = 4*a + 4*o - 28. Let h(s) = 3*s + 44. Let y be h(a). Let m = y - 77. Put -3, 4, m in increasing order.\nAnswer: m, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 d when three letters picked without replacement from cpccvcvccccccpccddic.\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 114801464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53.2 + -0.8. Let a = 50.9 - t. What is a rounded to one dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (119\/(-10))\/(413\/236)\nAnswer: -34\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3167, -11932, -26279, -46214, -71743, -102872, -139607?\n\"Answer: -z**3 - 2785*z**2 - 403*z + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*q = 5, -3*v = -q - 2*q - 21. Suppose -2*k - f - 159 = 3*k, 11 = -k + v*f. Is k\/(-2) - (-7)\/14 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fq when two letters picked without replacement from llflulpq?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -880 + 788.8. Let d = k - -2.2. Let u = d - -85. Which is the smallest value? (a) 0.1 (b) u (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**4\/2 - 108*t**3 + 219*t**2\/2.\nAnswer: -3*t**2*(t - 1)*(t + 73)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18210702 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 377*p - 766 = -375*p + 1490 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 10 + -4 + -9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 198868315 to the nearest integer?\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.7 and 1100823?\nAnswer: -770576.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 78, 188, 366, 630, 998, 1488?\nAnswer: 2118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*9\/(-6) + -1. Let p be (-10)\/l + 11\/22. Suppose 0 = -2*d + 3*y + 132, p*d = -y + 48 + 161. Is 23 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2*sqrt(1872) + -2 + -5 + 4 - (6*(sqrt(1872) + -2) + sqrt(1872) + sqrt(1872) + sqrt(1872) + sqrt(1872) + 0 + 3))**2.\nAnswer: -1152*sqrt(13) + 119845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/5*(-265)\/(-106).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12658?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, g: 2, x: 2, f: 4, y: 5}. What is prob of sequence fg?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1339597345 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17251 is divided by 70?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 4\/3 (b) 1\/2 (c) -296 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 2\/3 (c) 983 (d) -2\/3 (e) 7\/36 (f) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.06 + 0.05. What is g rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.3 - -3.68. Let q = a + 0.12. Let z = 1973 - 1972.8. What is the second biggest value in z, 1, 0.04, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2d00b (base 14) to base 12\nAnswer: 55143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -307, -344, -407, -496, -611?\nAnswer: -752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5620)\/1686)\/(-2 - (3\/6)\/((-18)\/78))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 19978974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 29059900 to the nearest one hundred thousand.\nAnswer: 29100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from {i: 5, g: 5, e: 2, l: 3}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3426 and 12562.\nAnswer: 37686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ufrfrfafuaaa. Give prob of sequence ur.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -10*j - 13*j + 21 + 30*j**2 + 2*j. Suppose 3*q + 3 = -3. Let f(y) = -3*y**2 + 2*y - 2. What is q*g(k) - 21*f(k)?\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1085658 - -54.67.\nAnswer: 54.5614342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 300018 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -0.6, -1, -0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**4\/(a\/a**4))\/((a\/a**(-2\/5)*a)\/a*a**0) assuming a is positive.\nAnswer: a**(28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5d - 3?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = m, 5*m - 7 - 12 = j. Let n be (-2)\/(-4)*(j - 6). Suppose 0 = 5*u - 7*u - 2. Sort n, 2, u.\nAnswer: u, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/22 + 1680\/(-770))\/7. What is the fourth smallest value in -1, i, 6, -0.6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20 - -530305?\nAnswer: 530325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113913 (base 13) to base 16.\nAnswer: 639ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7780*y**2*z**3 - 9830*y*z**3 - 2 wrt y?\nAnswer: -15560*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 632 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1192 - -1153. Let t = -39.133042 + 0.133162. Let u = t - s. Round u to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -275e?\nAnswer: 2763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c + 18 = 74 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 835200 and 540?\nAnswer: 2505600","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2\/21, -0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 2*o + 4. Let n be a(2). Let z = 605 + -571. Suppose -13*x - n*x = -z. Solve x*p = 5*q + 35, -4*p + 0*q - 3*q = -5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = m + 15, -5*m + 4*m = -v + 6. Let r be 39\/v + (-4 - -5). What are the prime factors of (-2)\/(-1*2\/r)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1, 18, 63, 146, 279?\n\"Answer: 2*b**3 + b**2 + 2*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 81*x**2 - 1273*x + 97642. What is j(82)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*o - 5*m, 0 = m + 9 - 4. What is the tens digit of (o + 0)\/((-2)\/(-11))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54031172 divided by -27015586?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3969466297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 357105458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 107608262?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -7599.8 to the nearest one hundred.\nAnswer: -7600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 1 + -1 - (1*sqrt(114) - sqrt(114))\/sqrt(6))*5.\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 1 + (sqrt(175) - (sqrt(175) + 3)) + 1)*6 + 0)**2*6.\nAnswer: 864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 625304 (base 8) to base 4.\nAnswer: 302223010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, r: 1, n: 9}. What is prob of picking 4 k?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n. Let o(l) be the second derivative of l**4\/4 + 4*l**2 - 19*l. Let t(v) be the first derivative of o(v). Give s(t(p)).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2\/87 (b) -5 (c) 0.1 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + (0 - 6) + 3. Suppose -4*q + 27 + 5 = 0. What is the lowest common multiple of 8 + 2 + (u - 3) and q?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (12 - (-17 - (-23 - -17))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cvv when three letters picked without replacement from {t: 1, h: 1, v: 3, n: 10, c: 5}.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -13*b**2 + 10560*b - 5575684. Let w(a) = -50*a**2 + 42240*a - 22302735. Let s(f) = -15*m(f) + 4*w(f). Find r, given that s(r) = 0.\nAnswer: 1056","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z\/((z\/z**2)\/z))\/z))\/(z\/z**(2\/7)) assuming z is positive.\nAnswer: z**(-12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.6 and 556.1.\nAnswer: 555.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2643.01 rounded to the nearest 100?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 2\/324255?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -38.39?\nAnswer: -19.195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10 - 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -304.\nAnswer: -5\/304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 89.19012 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -66 - -176. Let n = p + -70. Let j = 47.2 - n. What is j rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 207 divide 326193746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*7*(-3)\/168?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14786*0.1.\nAnswer: 1478.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - i + 1. Let w(l) = -2*l**3 - 3*l**2 + 3*l - 4. Determine 3*n(k) + w(k).\nAnswer: -2*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/616 and 71\/2507274.\nAnswer: 10029096","meta":{"dup_signals":{},"source":"numbers__lcm_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: 7841 divided by -8\nAnswer: -7841\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 6*h**2. Let y(l) be the third derivative of 2*l**4\/3 - 2*l**2 - 26. Determine z(y(k)).\nAnswer: 1536*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2. Suppose -3*n - u + 4 = -5*n, n + 2 = -2*u. Let p be 4*4*n\/(-16). Let i(c) = -2*c - p*c**2 + 2*c. What is i(s(z))?\nAnswer: -2*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31.1 - -31. Let b = 4.8286 - -0.1714. What is the fourth smallest value in u, 0, 0.3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*g**2*q**3 - 19*g**2*q - 2*g**2 + q**3 - 2*q**2 + 11*q wrt q?\nAnswer: -30*g**2*q + 6*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1567\/1965?\nAnswer: -1567\/1965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 86*f*h**3*v - f*h**2*v + 6*f*h*v**3 + f*h*v + h**3*v**3 - 3*h**2*v**2 wrt h?\nAnswer: 516*f*v + 6*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13.7 + 5.3. Let p(a) = -a**3 + 10*a**2 - 9*a - 5. Let n be p(9). Sort n, -2\/7, m in increasing order.\nAnswer: n, -2\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 2:09 AM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21\/247 + 9801\/1976. What is the common denominator of -27\/16 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u + 1. Suppose -a + 4*a - 3 = 0. Let r(z) = 29*z + 30. Let m(q) = 9*q + 8. Let c(l) = -7*m(l) + 2*r(l). Determine a*c(g) - 6*n(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - ((-11 - -7) + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 899556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/105 - -86\/105. Which is the biggest value? (a) 0.1 (b) 1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5 + (-1 + sqrt(847) + 0)**2)*4*-5.\nAnswer: -51180 + 1320*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -1\/2, -10\/327, 3, 0.4, 32.5?\nAnswer: 32.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -16 + 4 - -4) + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -116\/15 - -22\/3. Let t = -29.911 + 29.741. What is the nearest to 2 in c, 2\/3, t?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 372.553 meters?\nAnswer: 0.372553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002683097 rounded to 7 dps?\nAnswer: -0.0000268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(4\/3)\/k)\/(k**(-24)\/k))**21 assuming k is positive.\nAnswer: k**532","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1200) - -2*sqrt(1200) - sqrt(1200))*1 + sqrt(1200))*1)\/((sqrt(486) - (sqrt(486)*-2 - sqrt(486)))*3*4).\nAnswer: 5*sqrt(2)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**4\/7 + 262*p**3\/7 + 302*p**2\/7 - 155230*p\/7 - 11094 = 0. Calculate p.\nAnswer: -43, -1\/2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 248 - 1237\/5. What is the closest to 0 in z, 2, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -50*m. Let p(w) = 12*w. Determine p(n(l)).\nAnswer: -600*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -154 + 830. Let d = j - -284. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -238578 divided by 3?\nAnswer: -79526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence stg when three letters picked without replacement from {t: 5, s: 1, c: 2, z: 5, n: 2, g: 1}?\nAnswer: 1\/672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 224, 1374, 4490, 10556, 20556?\n\"Answer: 164*k**3 - k**2 + 5*k + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 6 = -4*y. Solve y*a = -2*a + 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(10400\/(-182)))\/(188\/470)?\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 61\/4*(4 - 20)\/(-2). Suppose x*u = 127*u - 270. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + v = 365. What is the remainder when v is divided by (279\/36 - 16\/4)\/(60\/240)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -87 - -1a108?\nAnswer: 1a031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - y - 4)*(-7 + 8 + 6 + (-4 - 1 + 4)*(-1 + 1 + 2) - 2 + 2 + 2 - 1 + 2 - 2)*(50 + 28 - 20).\nAnswer: -348*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26543 is divided by 26489?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -196 divided by -98\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 119 in -1, 0.147, 0.4, 0.076, 0.04?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -115818*r. Let k(j) = 41*j. What is k(c(d))?\nAnswer: -4748538*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67, 64, 61, 58, 55?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 3 + 5)*(-1 - 2 + 2) + (-4 + 2 + 4)*(3 - 7 + 3))*(-h - h + 0*h) + (-1 - 2 + 1)*(4*h - 2*h - 4*h) - 4 + 4 - h.\nAnswer: 11*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-15)\/k*k)**36\/(k\/(k\/k**(5\/6))*k)**(-1\/28) assuming k is positive.\nAnswer: k**(-90709\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*n - 1 - 10 = 0, -1 = -m + n. What is the third derivative of 386 - 770 - c**3 - c**2 + 387 + 3*c**m wrt c?\nAnswer: 72*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -2.6. Suppose x - 717 = 4*x. Let w = -238 - x. What is the closest to w in d, 1\/32, -0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((c*c**(2\/17))\/c)\/c)\/c)\/((c**1*c)\/c))\/(c**(2\/3))**25 assuming c is positive.\nAnswer: c**(-997\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*t - 2*t + t)*(2 - 3 + 2) - 2*t + 3 - 3 - 2*t + 5*t + t)*(2 - 3*t - 2).\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 19*p**2 + 15*p. Let o(b) = -9*b**2 - 6*b. Let u(m) = -15*o(m) - 6*r(m). Calculate u(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.2996 to two decimal places.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -14312512?\nAnswer: -14312511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 1. Let p(o) = 2*o - 16. Determine p(z) - 12*y(z).\nAnswer: 2*z - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -358799510 by 12185.\nAnswer: -29446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-7 + 10 - (1 + 10)). Solve 0 = 26*c - 22*c - a for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ar when two letters picked without replacement from tauxerexxet?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 0 - (-295 - -269)) + 12 + -9?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3040\/15*(-3)\/(-2). Suppose -2*b + 10 = 0, v + z = -b - 3*b. Let t = v + 1016\/3. What is the common denominator of t and 16\/5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4062003 to the nearest integer?\nAnswer: 2015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 8 = 7*p. Suppose -15 = 20*i - 23*i. Suppose 4*n = p*v - 0*n - 77996, n + 194999 = i*v. What is v rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(119)*1 - sqrt(119)*2*5)*-4)\/(sqrt(7)*-2*-1 + sqrt(49)\/(sqrt(7) + sqrt(112))).\nAnswer: 260*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 + 18. What is the closest to 0.1 in l, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.9361 + 2.1381. Which is the fifth biggest value? (a) l (b) -4\/5 (c) 2\/5 (d) 1 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) + (sqrt(77)*-4 + sqrt(77))*-1)*5)\/((sqrt(35)\/(sqrt(5)*-1) - sqrt(7))*6)*-3)**2.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crcgrcx. What is prob of picking 1 x and 1 r?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 13, e: 3}. What is prob of sequence exxx?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*u**2 + 0)*(-2 - 2*u + 2) + (-2 + 5 - 4)*(-3*u**3 + 0*u**3 + u**3) + 40*u**3 - 157*u**3 + 28*u**3.\nAnswer: -91*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 278.56 - 280. Let j = -1.47 - a. What is the closest to j in -0.1, -1, 3\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 4) to base 8.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 8 = -3*w + 5*l, 3*l - 3 = 3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2812 and 8?\nAnswer: 5624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - c - 428 = -155, 3*r - 282 = -2*c. What are the prime factors of r?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + a + 0*a + 1 - 14996*a**3 + 14992*a**3. Suppose -4*u = d + 3, 4*d = -4*u + 5*u + 5. Let b be 1 - ((u - -3) + 0). Determine w(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -5*t**3\/2 + 12*t**2 - 57*t + 1. Let g(u) = u**2 - u + 1. Let h(n) = 3*g(n) + o(n). Factor h(z).\nAnswer: 3*(z - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wnvvqvnowjvn. Give prob of sequence nvn.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 96*p**2. Let b(w) = 8*w. What is m(b(a))?\nAnswer: 6144*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0 + 15 = 0. Let r be q\/10*8\/(-6). What is the second smallest value in -0.1, r, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/24)\/(((-1)\/(-3))\/((-69)\/(-23))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 932504?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + (-12)\/7 - 40\/(-7). Suppose -5*y = -4*y - 4*l + k, -5*y = 3*l + 7. Find the common denominator of 9\/8 and (-1 - y)*-73*(-4)\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2142.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**4 - 3*v + 3*v + (-2*v**3 + 4*v**3 - 4*v**3)*(0*v + 2*v - 4*v) - 26*v**3 + 2209*v**2 - 2209*v**2 - v**4.\nAnswer: 2*v**4 - 26*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (714\/(-1309))\/((-4)\/44)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z**2 - 625*z + 25120 = 0. Calculate z.\nAnswer: -157, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 0*x + 0*x**2 + 2\/9*x**3 + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8245 and 67415000.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/1*1\/(-2)*4. Let r be (1 + (-2 - 0))*5. Is -5 + (257 + r - h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 - 38*r - 23 + 69 - 19.\nAnswer: -38*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((2 + sqrt(88)\/(sqrt(8)*1))**2 + 4 + (sqrt(11)*2 + -5)**2 + 3 + 4 + 1).\nAnswer: -576 + 96*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 16, -o - 5 = -5*p - 31. Let q be 319 + 2\/((-8)\/(-12)). What is the greatest common divisor of o and q?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3135468 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1101 - 1101. Sort 1, q, 271 in descending order.\nAnswer: 271, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1456 divided by 701.\nAnswer: -1456\/701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**11)**(-2\/75) assuming k is positive.\nAnswer: k**(-22\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/40)\/(2\/20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from atayattaaytataatta. Give prob of picking 2 y.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25958240 to the nearest integer?\nAnswer: 5095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 778.57 to 0 dps.\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h - 392 = 28*h - 24*h for h.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -101 or -10173\/101?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -149*h**2 + 292*h + 111. What is the first derivative of k(d) wrt d?\nAnswer: -298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/550770 and -53\/220.\nAnswer: 1101540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, p: 1, t: 2, n: 3, e: 2, x: 3}. What is prob of picking 1 x and 2 t?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 539025896.\nAnswer: 2, 19, 97, 36559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2542*f + 1649*f + 208220 = -110*f - 54141 for f.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 6*c**2 - 7*c - 5. Let k be b(-5). Suppose -k*j = 11 - 1. Let q = j - 0. Is q > -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 8. Let h(z) = 7*z - 2 + w. Suppose 19*l - 8*l = 11. Calculate h(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -247, -704, -1161, -1618, -2075, -2532?\nAnswer: -2989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -1 - o**3 - 8*o**2 + 2*o - 4*o - 6. Let d be s(-8). Let t = 139 - 58. Calculate the greatest common divisor of t and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.027748 + -0.7?\nAnswer: -0.672252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + (-2*sqrt(448) - sqrt(448)) + sqrt(14)\/sqrt(2)*6 - (-5*(sqrt(7) + sqrt(7) + 0) - sqrt(7) - sqrt(7)*-1*1))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18.6 + -1.4. Let f = -25 - y. Let p(u) = u**2 + 1. Let s be p(-2). Which is the biggest value? (a) 3\/2 (b) f (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*p = 319658 - 319637 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17\/3*a + 1\/3*a**2 + 52\/3 = 0. What is a?\nAnswer: -13, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 245 - 243. Let g(p) be the second derivative of 5\/6*p**3 + 0 - o*p + 7\/12*p**4 + 0*p**2. What is the second derivative of g(q) wrt q?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*o + 22*o - 1 - 1 + 67*o**2 - 2*o - 22*o**2 to the form i*o + z + v*o**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/18 - 3742\/(-12). What is the highest common divisor of 91 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 39837990?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f*f*f\/(f\/(f**(-2\/7)*f))*f)\/f*f\/(f\/(f*(f*f**(-3))\/f))*f*f*f)**(-21)*(f*f**(-1)*f)**(-24)*f**(-6)*f**(-3\/4) assuming f is positive.\nAnswer: f**(-519\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of 0*r**4 + 0 + 0*r**2 - 3\/20*r**5 - 1\/56*r**7 + 1\/10*r**6 - 32*r + 0*r**3. Suppose i(x) = 0. Calculate x.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155\/(-200) - (469\/(-35) + 13)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -510 + 37?\nAnswer: -462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n + 4. Let l(t) = t**2 - 10*t + 4. Let d be l(9). Let x(f) = -8*f - 6*f + 12*f + 5. Determine d*x(b) + 6*g(b).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(8) + sqrt(8) + sqrt(288) + 0 + sqrt(288))**2 + 1 + sqrt(128) + -1 + -3.\nAnswer: 8*sqrt(2) + 1565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ep when two letters picked without replacement from ddppbppbeb.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 64\/5 of a litre?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2) + 1)**2*3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 - (-24 + 40) - (-13 + 22 - 8)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 6. Let u(r) = -4*r - 2. Let c be u(h). Suppose 0*n + c = n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51347 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4352 times 0.2351?\nAnswer: 0.10231552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 613752 and 2390.\nAnswer: 3068760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10924888.\nAnswer: 2, 13, 73, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**5 - 12*d**4 + 3*d**3 + 42*d**2 - 60*d + 24 = 0. Calculate d.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 1 - (11 - ((15 - 1) + 2)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 239562 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 5*o - 26. Let u(c) = 2*c - 9. Let k(w) = -3*r(w) + 8*u(w). Give k(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - i - 4*j - 2224, 0 = 2*j - 4. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -116. Let w = b + 137. What is the nearest to -2\/5 in 5, w, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 + -23.5. What is the fourth smallest value in -4, -3, 2, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -31?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 693801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddd. What is prob of picking 4 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -n**4\/12 - 5*n**3\/6 - n**2 + 2*n. Let w = 6 - 10. Let z be m(w). Solve -p - 2 = -a, 0 = z*a - 3*p - 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k**5 - 2978*k**4 - 7*k**2 - 6349*k - 2.\nAnswer: 20*k**3 - 35736*k**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 3*k - 23, 11 = -n - 2*k + 5*k for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -5*k + 26. Solve -17 = k*s + 5*i, 0 = 2*i + 3*i + 5 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-22))\/4 - 1448\/(-88).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*q + 1970 - 7330 = 0. Solve 0 = -5*g + q - 87 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 16 = -5*t - 1, 2*t - s = 3. Let y = -155\/42 + 27\/7. Let z = y + 1\/2. Which is the nearest to z? (a) 2 (b) 0 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f + 2*f - 2*f + (1 + 0 + 1)*(-f - 1 + 1) + 2*f + 0 + 0 + (-64 + 17 - 24)*(26*f + 35*f - 2*f))*(0 + 3 - 1) as y + o*f and give o.\nAnswer: -8380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2728\/310*55\/4 is divided by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 776272 by 4.\nAnswer: 194068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190195?\nAnswer: 5, 38039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 8, 1283 = -3*z + b - 3*b. Is 23 a factor of (-4)\/16 - z\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l - 4. Let n(z) = z - 3. Let r(o) = -o**2 + 10*o + 5. Let c be r(10). Let s(k) = c*b(k) - 6*n(k). Let f be s(-4). Solve d - f*d = 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 0*s - 3*u + 18, u = -s + 22. Let a = 246 - 255. What is the lowest common multiple of s and (-4)\/(a\/((-486)\/(-12)))?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833)*4 + 3)**2.\nAnswer: 168*sqrt(17) + 13337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + (27 - 2) - 2. Suppose 5*a + 4*m - 16 = 12, z = 5*a + 2*m. Solve a*o + 0*o + 20 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.07066456 + 0.0707. Round n to six dps.\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**2\/7 - 14505489*l\/7 = 0.\nAnswer: 0, 14505489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64421 + 64453 - 193293 + 64414 + 2*l.\nAnswer: 2*l - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347 = 29*r + 891 - 1762 for r.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 398 a factor of 2555673484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16118, 16600, 17402, 18524, 19966?\nAnswer: 21728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.45 + -0.45. Let i = 66.2 + -69.2. What is the third biggest value in i, q, -0.02?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -7. Let u(k) = 18*k - 9. Let c be u(3). Calculate the highest common divisor of c and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(320) + 1 + -5 + sqrt(320) + sqrt(320) + -4 + sqrt(320) + sqrt(320) + 0 + -4)**2 + 1.\nAnswer: -960*sqrt(5) + 8147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-61)\/(-366))\/(1\/(-27)) - (-1)\/2. What is the nearest to 2\/7 in -30, -5, q, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/17 in 0.1, -1\/6, 0.04, -160\/19, 2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -3 (b) 944\/51 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = k + 25, w + 0 = k - 5. Let x(m) = 2*m**2 + 10*m + 1287. What is the tens digit of x(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_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: Three letters picked without replacement from {v: 2, l: 1, b: 1, d: 1, h: 2, g: 2}. Give prob of picking 1 h and 2 v.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 112686629?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 8*l**2 + l - 6. Let s be f(8). Suppose -5*o + 2*p = -14, 5*o + 0*o + s*p = 26. Factor -2*t + 23*t**3 + o*t**5 - t**5 + 5*t - 29*t**3.\nAnswer: 3*t*(t - 1)**2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33809\/93744 + 3\/3472. Let u be (-7)\/(-28) + (-38)\/216. Let g = w + u. Is -0.2 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5716 is divided by 88.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(18\/5)*(u*u\/(u\/(u\/u**(-14\/3))*u))\/u*u assuming u is positive.\nAnswer: u**(139\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14 or -0.1909?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cco when three letters picked without replacement from clllxloflfllclojlll.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/23949 and 23\/18627.\nAnswer: 167643","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 19784 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 8:40 AM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 219, 499, 881, 1359, 1927?\nAnswer: 2579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -551*m**5\/10 - 702*m**3 + 157*m**2 + 4*m + 1. Differentiate r(v) with respect to v.\nAnswer: -6612*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 5*o + 5 = 0. Suppose -6 = 3*v - 6*v. Let t(a) = -2 - v*a + 3*a - o*a + 3*a. Calculate t(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 75*m**2 + 24 - m - m**4 - 77*m**2 + 3*m**4 + 34*m**3 - 47*m**3 as w*m**2 + j*m**4 + n*m + s*m**3 + y and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-356)\/18 + (-3)\/((-54)\/(-4)). Let r = w + 33. What is the remainder when 23 is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/10 - 96\/(-10). Suppose 0 = 2*v - 3*i - 17 + 11, -2*i - 9 = -3*v. Solve 4*y = -4*o + a*o, o - v*y - 11 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 17*y**2 + y - 1. Let m be n(-2). Suppose 5*o = 10*o - m. What are the prime factors of ((-312)\/o)\/(6\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39.941 + 0.059. Let g = 33.21 - -0.99. Let c = f - g. Round c to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -6, -502, 0.2, 0.25 in decreasing order.\nAnswer: 1, 0.25, 0.2, -3, -6, -502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 77, 167, 257?\n\"Answer: 90*y - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4215692325 to the power of 1\/2, to the nearest integer?\nAnswer: 64928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2044, -8053, -18030, -31975, -49888, -71769?\n\"Answer: -1984*t**2 - 57*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1346*q + 422*q + 72*q)*(3*q**2 - 4*q**2 + 0*q**2).\nAnswer: -1840*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/8 and -79\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2139*r + 2137*r = 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 464206 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**3*l*l*(l\/(l**(-1\/4)\/l))\/l)\/(l**(-2)*l*l)**(-15) assuming l is positive.\nAnswer: l**(25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5313 (base 7) in base 10?\nAnswer: -1872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of n**3\/3 + 7*n**2\/2 - 23*n - 9. Is t(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -a**11\/133056 - a**10\/60480 - 7*a**5\/30 - 14*a**2. Let h(x) be the third derivative of s(x). Factor h(z).\nAnswer: -5*z**4*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2c + 251?\nAnswer: 27d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 21*d**2 - 16*d - 20. Let p(x) be the second derivative of x**4\/3 - x**3\/2 - 2*x**2 - 7053*x. Determine 11*p(b) - 2*t(b).\nAnswer: 2*b**2 - b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -43*k*n**3 - 48116*k*n**2 + 3*k*n - 304350097*n**3 with respect to k.\nAnswer: -43*n**3 - 48116*n**2 + 3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 48\/4 - (-1*2 + 3). Let p = v - 21\/2. What is the smallest value in 0.2, -0.2, p, -1.5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-6)*(-174)\/(-116)*2\/10\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -166, -129, -22, 191, 546, 1079?\nAnswer: 1826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 140.95 - 141. Which is the second smallest value? (a) f (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-182)\/5733)\/((-8)\/(112\/(-6)))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(728\/(-64))*(-56)\/288*-9\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 652\/44 + 12*29\/1914. Solve -i*b = d - 18*b + 5, 3*d - 2*b = -8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 75*o - 8. Let k(n) = -50*n + 6. Determine -5*g(i) - 7*k(i).\nAnswer: -25*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 11:49 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 15 + 6, 0 = -2*r + 3*j + 3663. What is the hundreds digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3064.1402 - -3063. Let d = g - -1.15. Round d to three decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.46 minus 164.8?\nAnswer: -76.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-3) - (-2)\/(-3). Suppose -18 = -3*k + 3*c, 0*k + 4 = k + c. Suppose 4 = 3*o - k. Solve n*h = -2*h - y - 1, -o*y + 18 = -h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + -6 + 4)\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one tenth of a second?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -19*t**5\/12 - 86*t**2 - 23*t + 4. Let f(h) be the first derivative of x(h). Let g(m) = 4*m. What is f(g(w))?\nAnswer: -1520*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**3 - 7*m + 4. Let l be a(2). Let u(o) = -13*o - 1. Let b be u(-1). Suppose -3*f + l = -b. Solve -2*c = 4*v - 20, -3*c + f*v - v = 14 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 h when four letters picked without replacement from ihhii.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 3*l - 48, 3*b = -l + 3 + 2. Let g = -10 + 12. What is the greatest common factor of g and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1182*u**4 - 1182*u**4 - 89*u**2 + u**5 + 27*u**6 + 14 - 11 wrt u.\nAnswer: 3240*u**3 + 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 1284, -3\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 128*d**2 - 11*d + 1.\nAnswer: 256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8697, 17394, 26087, 34776, 43461, 52142, 60819?\nAnswer: 69492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -169 - -166. Let h(f) be the third derivative of -f**4\/8 + 11*f**3\/6 - 5*f**2. Let u be h(5). Which is the nearest to n? (a) 4\/7 (b) u (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000036910071 to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218609?\nAnswer: 71, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 2*f - 5*f)*(f - 3*f + 0*f) - f**2 - 1 + 1 + (4*f - 2*f + 0*f)*(2 + 2*f - 2) + f + 2*f**2 - f.\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 101201 = -101217 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*n = 34*n + 24. Find f such that -4*f**3 + 4 + 5*f - f**n + 19*f**2 - 30*f**2 - f**3 + 8*f**2 = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.06, 0.4, -13.5, -91733?\nAnswer: -91733","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 10105*m**2. Let q(u) = 72*u. Give q(w(o)).\nAnswer: 727560*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of 3*r**4\/4 + 7*r**3\/6 - r**2\/2 + 2*r - 146. Let t(u) = -5*u**2 - 4*u + 1. Give -3*h(x) - 5*t(x).\nAnswer: -2*x**2 - x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3031467, -6062930, -9094379, -12125814?\nAnswer: -15157235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 750 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 21. Suppose k = 4*p - 0*p. Solve 2*n + z = -4*z - 9, -n - p = z for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(5) + 1 - sqrt(5))*3)**2*-2 - (sqrt(125) + -2*(sqrt(125) - (sqrt(125) + 1 + sqrt(125) - sqrt(125)))**2 - (sqrt(125) + 1 + 1)**2).\nAnswer: -319 + 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -4 - (-5 - 0) - (7 - 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-6))\/(16\/(-32))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -20. Is -1\/3 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -q**2 - 102. Let i(z) = 143*z. Determine i(y(j)).\nAnswer: -286*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11938 + 3.\nAnswer: -11935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k + 7. Let x be b(7). Suppose 1 = -x*g + g. Let p = 1 + g. Solve 2*f + 14 = -p*d, 3*d = -4*f + 2*f - 19 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 5 = 2*q. Suppose -4*t - 27 = -4*b + 5, 5*t + 20 = q*b. What is the second derivative of -4*l**2 + b*l + 30 - 30 wrt l?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/5))**35\/(l**(-2\/7)*l*l*(l**(-2)*l*l)\/l)*(((l\/((l\/(l\/l**(4\/5)))\/l))\/l)\/l**(-4\/5))**(-20) assuming l is positive.\nAnswer: l**(-47\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -183612 divided by 91806.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2634 - 2541. What is the highest common factor of j and 1457?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*d + 0*d + 5*d + (-3*d + 3*d + d)*(1 - 1 + 1))*(1 - 3*d - 1) as z + s*d + o*d**2 and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 - 2*s + 31)*(-1 + 2 - 2)*(22*s - 2*s**4 - 101*s**3 + s**4 + 102*s**3).\nAnswer: -2*s**5 + 2*s**4 + 44*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12773465.45 rounded to the nearest one hundred thousand?\nAnswer: 12800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13 or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 6:00 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 3.4. Let y = 0.7 + m. Let r = 0.32 + 0.18. Which is the second smallest value? (a) -3 (b) r (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 4*a**5\/13 + 118*a**4\/13 - 186*a**3\/13 + 2*a**2\/13 + 62*a\/13 = 0.\nAnswer: -31, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 700 a factor of 1254132600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i + 8. Suppose 34 = 3*z - 5. Let w(a) = -a + 11. Let p be w(z). Let h be r(p). Solve -3*c = u - 10, -h*c + 2 = u - 5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -202 + 164. Let n(m) = m**3 + 39*m**2 + 36*m - 63. Calculate the remainder when 65 is divided by n(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11371153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 39*q**2 - 12*q + 1. Let u be n(1). Calculate the greatest common factor of u and 224.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8308, 16619, 24930, 33241, 41552, 49863?\n\"Answer: 8311*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*h + 254 = 3906. Suppose -2*b = -4*b + 166. Let k = h - b. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2*sqrt(119) + sqrt(119)) - sqrt(119))\/(2*sqrt(7)*4) + 5.\nAnswer: 5 + 17*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -299, 1\/3, 5, 0.2.\nAnswer: -299, 0.2, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -1.24.\nAnswer: -4.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 70 + -68. Calculate the remainder when 25 is divided by (38 + -25)*(k + -1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbboobbooobb. Give prob of picking 2 b.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/89 + 172\/267. What is the closest to g in 3\/5, 1\/2, 4, 2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62 and 279.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o + 11. Let x be p(-8). Let a be x\/((-4)\/(8\/(-3))). Suppose -122 = -4*i - 2*r, -i - 2*r = -a*i + 18. Does 14 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29*j + 24 - 24 + (5*j - 5*j - j)*(1 + 1 - 3) + 0*j + 0*j - 2*j + 3*j + 0*j + 0*j.\nAnswer: -27*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 11*h**2 + 6. Let j be c(11). Suppose -2*m**2 - 4*m**2 - 9*m - 2*m - 5*m - j + 4*m**3 = 0. What is m?\nAnswer: -1, -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4956, -4959, -4962, -4965?\n\"Answer: -3*u - 4953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(4*-2*sqrt(243) + 5)*1)**2.\nAnswer: -2880*sqrt(3) + 62308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1858933787.\nAnswer: 881, 2110027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 142576756 and 3.2.\nAnswer: 142576759.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -7*c**6\/120 + c**4\/24 + 3*c**2\/2 + 3*c. Let m(y) be the first derivative of r(y). Let q be (-8)\/20 + 7\/5. Determine m(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-27)\/15)\/((-3)\/5). Suppose u*x - 4*l = 2167, -4*x - 11*l + 2879 = -6*l. List the prime factors of x.\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5464)\/(-14) - 14\/49. Let b be (20\/(-25))\/((-4)\/z). Suppose -5*u + b = -202. Is u a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 402 + 23?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*v = 15*v + 8190. Let g be 392\/v - (1 - (-22)\/(-10)). Which is the closest to g? (a) 2\/7 (b) 2 (c) -1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xfvx when four letters picked without replacement from {x: 3, v: 8, f: 3, j: 2}?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 + 34. Calculate the greatest common factor of 26 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - ((-58)\/(-87) - ((-48)\/(-10) - 2)). Let m = -32.01 - -32. Which is the closest to 0.1? (a) -0.1 (b) j (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1729 + -1728. Which is the smallest value? (a) g (b) -0.4 (c) 0.114\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 * 7.4\nAnswer: 199.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 14) to base 3\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 9759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ng when two letters picked without replacement from {e: 2, g: 8, r: 1, s: 3, o: 1, n: 2}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 9. Suppose -2*a + 6*a = m. Suppose -a*x + 3*x = -2*w + 15, -3*w = 4*x - 40. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.192 - 321633542892\nAnswer: -321633542891.808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -4 + 2 - -6 - (35 - (85 - 54)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -38 * 2.55\nAnswer: -96.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 15 = -10*p. Let a(z) = z**3 + z**2 - 4*z + 1. Let x be a(p). Let q = 5 + x. Solve -4 + q = -2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45273220 (base 8) in base 10?\nAnswer: 9795216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0277109498 to 4 dps.\nAnswer: 0.0277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 176*h - 8 = 171*h, 0 = -3*c - h - 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 90394.13 millilitres in litres?\nAnswer: 90.39413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-1 + 4 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -36.581 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuyuuu. Give prob of picking 3 u.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wcc when three letters picked without replacement from ccwwwcwwwwwwcwwwcw?\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159505?\nAnswer: 5, 19, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjaaajaaaaj. What is prob of sequence jj?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: b\"What is the nth term of 1430, 3541, 5646, 7745?\n\"Answer: -3*n**2 + 2120*n - 687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + b = 60, 0 = -2*q + 4*b - 6*b + 56. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3941693 + -1024693. Round a to the nearest one hundred thousand.\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224790262?\nAnswer: 2, 112395131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14421 (base 6) in base 15?\nAnswer: a47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 79743 or 79645?\nAnswer: 79743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dtddddtdd. Give prob of picking 1 t and 1 d.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3623754*g**4 - 1752266*g**2.\nAnswer: -86970096*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(40) - sqrt(10) - (sqrt(10) + 2*sqrt(160)))\/(sqrt(288) + sqrt(288) + -2*sqrt(288) + sqrt(288) - -2*sqrt(8)).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**2 + 32*c**3 + 22*c**3 + 4*c**2.\nAnswer: 54*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**2. Let g = 48 + -142\/3. Let h(x) be the first derivative of 1 - g*x**3 + 0*x**2 + 0*x. Determine h(w(l)).\nAnswer: -18*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.79489 plus -0.2?\nAnswer: 2.59489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -1 - 14. Suppose -w*t = -32 - 13. Solve 3*o + z = -8, -z - t = -o + z for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 8*n = -4*n + 156, 4*w - 4*n = -124. Is -34 at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 + 48. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - m + 6228 = 50198, v + 4*m - 8815 = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 3*u**5 + 18*u**4 - 29271*u**3 + 261474*u**2 - 695232*u + 463008 = 0.\nAnswer: -106, 1, 4, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/1823 in 0.3, -21, 3\/5, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3439*l. Let o be m(-1). Suppose -o - 16085 = -4*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 83896\nAnswer: 9\/83896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -4, -16271 in descending order.\nAnswer: 4, 3, -4, -16271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a micrometer in nanometers?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + (-58 - -10) + 48?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.45 times 875746\nAnswer: -1269831.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of k**6\/30 - 8*k**5\/15 + 10*k**4\/3 - 32*k**3\/3 - 6*k**2 - 14. Factor i(o).\nAnswer: 4*(o - 4)*(o - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57 + -54. Suppose -6 = 5*y - 4*u - 2, 4*y + w*u - 3 = 0. Let k(a) = 2*a + 130. List the prime factors of k(y).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -41*m**2 - 3158*m - 83. What is j(-77)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n + 2*i - 9, 5*n - 12*i - 40 = -7*i for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-240)\/118 + 1 + 1. Which is the second smallest value? (a) y (b) 0 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 192 + -188. Suppose -4*r - 3*g + g = -16, 4*r - 5*g + 12 = 0. Suppose r = 5*l - 5*n + 7, 5*l = 2*n + q. Solve -3*v + l*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*x + 20*x**2 + 44*x in the form i + m*x + t*x**2 and give t.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 87 and 145?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0\/z)**(-10\/9)*(z*z**3)\/(z**(-2\/21)\/z*z))\/(z**1\/z*z\/(z\/(z**0*z)*z)*(z*z*z**(-2\/11))\/(z*z**(1\/4))) assuming z is positive.\nAnswer: z**(12857\/2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j + 1 = 2*j + n, 0 = -5*j - 3*n - 17 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**2*o**3 - 2*b**2*o**2 + 249*b**2 + 7*b*o**3 - 2*b*o + 8*b - 3*o**3 wrt o?\nAnswer: 12*b**2 + 42*b - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17081*w - 17029*w = 468 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11)\/22*78\/(-91). What is t in 0 + 0*t + m*t**3 + 24\/7*t**2 = 0?\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2787387063\/12359 + 225535. Which is greater: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 4231216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-10) + (-880)\/200?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 1. Let i(q) = 2*q**2 - 2. Let u(c) = -4*i(c) - 7*k(c). Let p(f) be the first derivative of u(f). Calculate p(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45220, -1, -2\/13.\nAnswer: -1, -2\/13, 45220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*f**(1\/4)*f*f)\/f)\/f)**(-2)\/(f**(-2\/7))**(-15)*((f*f\/(f**(-1\/2)*f))\/f)**(20\/11)*(f**(2\/7))**17 assuming f is positive.\nAnswer: f**(-465\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (115 - 0 - (77 - (170 - 111)))?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - -821 - (-3)\/6*4. Let a(m) = -z - 5*m + 825. Let v(s) = 6*s. Determine v(a(w)).\nAnswer: -30*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154 - 19 = 5*x. Let y(t) = -t**3 + 4*t**2 - 3*t - 4. Let o be y(3). Let p = x - o. List the prime factors of p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -20 + 2*d + 1\/30*d**6 - 15\/2*d**2 - 3\/2*d**4 + 0*d**5 + 16\/3*d**3. Factor w(s).\nAnswer: (s - 3)*(s - 1)**2*(s + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ukyuuugnyunn. What is prob of sequence nnyy?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from bouuuttutttottotttt.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3393*q**2. Let p(c) = 2414*c. What is d(p(o))?\nAnswer: -19772354628*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -k + 3*k + 16, -16 = 4*n. Suppose 11 = 2*r + 2*r + y, -4*y = -5*r + 19. Let j = k - r. Put -5, j, -3 in descending order.\nAnswer: -3, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - a - 1. Let d(m) = -20*m - 6. Let x(b) = 3*b + 1. Let v(q) = 3*d(q) + 21*x(q). Determine -2*v(k) - 6*w(k).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 70836 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.17? (a) 1.8 (b) -1 (c) 4 (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 49 = c, 0 = -54*t + 53*t - c + 63. Solve 0 = 36*q - t + 20 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kjqkpqppqq. What is prob of picking 1 p, 1 q, and 1 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 360857244 by 66.\nAnswer: 5467534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.238934 centimeters to micrometers.\nAnswer: 2389.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75336 = -3*c + 2*b, -5*b = 11*c - 8*c - 75315. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1348?\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**3*j**4 + 5*c**3*j**2 + 23*c**3*j - 2*c**2 wrt j?\nAnswer: 24*c**3*j**2 + 10*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9927.35 decades?\nAnswer: 992.735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -n**4 + 3793769*n**3 - 68078496*n**2 wrt n?\nAnswer: -24*n + 22762614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 405\/(-54)*(-12)\/10.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2\/25, 13\/2, 441, -5, 3\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - y + 11. Let s be l(-4). Let d be (8 - 2)\/(2 + s). Let f(k) = 18*k - 24. What are the prime factors of f(d)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005784 to 6 dps.\nAnswer: 0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 984704 by -1256.\nAnswer: -784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -b**6\/45 + 17*b**5\/30 + 37*b**4\/18 + 19*b**3\/9 - 504*b. Determine t, given that k(t) = 0.\nAnswer: -1, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = -6*h - 32. Find the second derivative of y + y**4 - 7*y**4 + h*y**4 + y**4 wrt y.\nAnswer: 132*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 219170?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 3*d - 4428, 3*t - 4424 = -t - 2*d. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 3 + 41 - 23 = x, -2*x = 2*c + 26 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/232 (b) -0.4 (c) -0.3 (d) -1650\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05 + 4.95. Let r(j) = -2*j**2 + 4*j + 4. Let z be r(-3). Let l be 255\/390 - (-4)\/z. What is the third biggest value in y, l, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 6:37 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 72?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236379798 = -79*p - 10281798. Round p to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*q**3\/6 - 400*q**2\/3 + 1019*q\/6 - 113\/3.\nAnswer: (q - 113)*(q - 1)*(7*q - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11021222102 (base 3) to base 6.\nAnswer: -1451232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3189132 plus 59294369?\nAnswer: 56105237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and 5826.\nAnswer: 5826.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 417514, 835087, 1252662, 1670239?\n\"Answer: w**2 + 417570*w - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19914866827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - -60) + 99 + -94 + (-1 - 13)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**8*x))\/(x*x\/x**(-3)))**33 assuming x is positive.\nAnswer: x**(-429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 16*i**2 + i - 15. Determine f(16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-35)*(-50)\/(-30) - -1.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-9))\/(4\/(-24)). Suppose 9 = 4*c + 1. Let g = c - i. Calculate the highest common divisor of g and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 1. Suppose -18*q = -24 - 102. Suppose q = 4*o + 3. Give r(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 0, -4 = -2*n + 5*m - 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 205*h**2 - 55553*h - 579. Calculate c(271).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 3:36 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-2\/5)*a*a)**(-2\/29))**(-1\/2)*(a*a*a*(a*a**(-1\/4))\/a*a)**(-1\/8)*(a**(-1))**46 assuming a is positive.\nAnswer: a**(-215199\/4640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000425055 rounded to five dps?\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, t: 3, y: 2, j: 4, m: 1}. Give prob of sequence dy.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 209021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 20, -7 = -2*m + 20*n - 23*n for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 3\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**4 + 4*j**3\/3 - j**2 - 4*j\/3 = 0.\nAnswer: -4\/3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/4 (b) 4\/7 (c) -0.07 (d) -0.47 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 436484133 to the power of 1\/2, to the nearest integer?\nAnswer: 20892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 2*u + 2. Let q(z) be the second derivative of z**4\/4 - 5*z**3\/6 - 3*z**2 + 11*z - 1. Calculate 17*b(a) + 6*q(a).\nAnswer: a**2 + 4*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**5 - 404*m**4 + 99104*m**3 + 9838432*m**2 - 141739840*m + 243339712 = 0. What is m?\nAnswer: -134, 2, 11, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u - 5*u**3 + 6 - 5*u + u. Let h(j) = 4*j**3 - 5. Let l(r) = 3*h(r) + 2*k(r). Let g(c) = -5*c**3 + 5*c + 8. Determine -3*g(m) - 8*l(m).\nAnswer: -m**3 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1))**(4\/3)\/((j\/(j*j**(-2\/5)\/j))\/j)**28*(j**(1\/2)*j)\/j**(2\/11)*j**(-1\/2)*j**3 assuming j is positive.\nAnswer: j**(-1438\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4170)\/35445 + 80\/391?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-9) + 0 + 60\/27.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/6805577 and -53\/13?\nAnswer: 88472501","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 o when two letters picked without replacement from {i: 1, p: 3, b: 2, v: 7, o: 2, c: 3}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y + 0 - 8*y**2 + 6*y**2 - 2*y**4 + 2 to the form l + k*y**2 + q*y**4 + t*y + h*y**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 10. Let y(k) = 20*k**2 + k + 2. Let t be y(h). Do 78 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -93*t**7\/70 - 133*t**5\/60 + t**4\/8 - 1460*t**2. Find the third derivative of w(c) wrt c.\nAnswer: -6696*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00070237 to 5 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*n + 38 = -80*n. Suppose -3*g = 3*w - 97 + 16, -g = 3*w - 33. Suppose -g*z + n*z + 190 = 0. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1176 - -1176.1. Let n(a) = -a**2 - 5*a - 4. Let l be n(-5). Let o = -1 - l. Which is greater: k or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.828037662 and -50?\nAnswer: 47.171962338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -402473 = -5510*u + 82407 for u.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1430, 2868, 4304, 5738, 7170, 8600, 10028?\n\"Answer: -r**2 + 1441*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 299.56 - 15.96. Let b = v + -284. Let p = 1 - 5\/6. Put b, -3\/11, p in descending order.\nAnswer: p, -3\/11, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -10 + 27566\/14 + (0 - -1). Suppose 0 = -3*t + n - 283. List the prime factors of t.\nAnswer: 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 3 - 285\/10. Let a = h - -27. Let q = 0.8 - 0.5. Which is greater: a or q?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -281 - -245.15. Let t = -40.1 - u. Round t to 1 dp.\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, d: 7, r: 3, v: 1}. What is prob of sequence rrdv?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 791 + -784. Let p(r) = -r**2 + 8*r + 1. Give p(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 113 - 95. Suppose -6 = 2*c + 4*l, -2*c - l + 5*l = -d. Factor -8\/9 + 2\/3*m**2 + 0*m - 2\/9*m**c.\nAnswer: -2*(m - 2)**2*(m + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (-1)\/((-15)\/18). Let f be (3 - 2)*(-5)\/(-3). What is the biggest value in 1\/3, f, j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.96 + -1. Let q = -0.7 - -0.26. Let f = q - o. What is the closest to 1\/2 in -6, f, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 289838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -666*z + 27646 = 9664 for z.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1202.6 + -1348. Let l = -145.4863 - n. What is l rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 529830\/11, -0.5, -28 in descending order.\nAnswer: 529830\/11, -0.5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 43 + 8?\nAnswer: 4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 6*a**2 - 9*a - 5. Let l be v(-7). Suppose -13*p + l*p + 268 = 0. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.2 + 4.2. Let h = 0.1 + -0.2. Let o = h + -0.4. What is the third biggest value in o, g, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13.9 - 0.1. Let j = 14.13 + v. Let k = -0.15 - j. What is k rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9309 and 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 3463785.\nAnswer: 3463785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - i = -3*l + 19, -4 = 2*l - 2*i for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5*h = 5293, 3*h = -2*t + 2*h + 3507. Let n(k) = -22*k**2 - 3*k + 9. Let w be n(6). Let y = w + t. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -101*u + 535. Let h(a) = -50*a + 270. Let p(b) = 5*h(b) - 2*j(b). Find the first derivative of p(o) wrt o.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4 + 28*g**3 + 118*g**2 + 140*g.\nAnswer: 2*g*(g + 2)*(g + 5)*(g + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1696499791.66 + -8.5.\nAnswer: -1696499800.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e + 40?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -1 - 8) + -68 + 73.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -14*g - 34. Let v(w) = 5*w + 11. Let c(b) = -11*v(b) - 4*x(b). Let k be c(-8). Let d = k + 6. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23.917 - 24.917. Put -5, 1.1, -0.1, -0.2, y in decreasing order.\nAnswer: 1.1, -0.1, -0.2, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 1, 3, 4, 5, -26 in increasing order.\nAnswer: -26, -15, 1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2504*j**2 - 5*j + 4*j + j + 0*j.\nAnswer: -2504*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-27) - (-1010)\/(-9). Let v = -65 - x. Calculate the remainder when v is divided by 2\/(-6) + 245\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/27 in 5, -2\/15, -1\/5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*27\/(-473 - -41). Let -50\/3*h - 140\/3*h**2 + 24*h**3 - 18*h**5 + f + 36*h**4 = 0. What is h?\nAnswer: -1, -1\/3, 0, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - k = 2*k - 24, -28 = 2*g + 4*k. Let s be -2 + (-103)\/(-42) - g\/(-35). Which is the closest to 0? (a) 0.2 (b) 2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - w - w)*(66 - 40 + 11)*(49 - 22 + 74).\nAnswer: -3737*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + s**2. Let y(q) = -29*q**3 - 6*q**2 + q. What is 6*h(v) + y(v)?\nAnswer: -35*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2 + z + 8. Let b = 921 - 869. Calculate the remainder when c(7) is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -337*u + 67*u + 8773 = 673 for u.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10758415 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.496 and -3.\nAnswer: 1.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 172*o + 5 = 173*o + 6 + 2 + 6, -5 = -4*p - 45*o for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 10:37 AM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -12375 divided by 1125\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**3 - 2*i**3 - 21998*i + 21998*i.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 3:26 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50 (base 16) to base 11.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 8*j + 2. Let d be c(5). Suppose 2*u - 4*a - d = -3*u, -24 = -2*u + 4*a. Suppose -u*w + 15 = -w. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/78 and 29\/21?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -v**6\/120 + v**5\/30 + 5*v**4\/24 - v**3\/3 + 14*v**2. Let b be n(6). Let o = b - -303. Is o a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*n**(-5\/6))*n\/(n**21\/n) assuming n is positive.\nAnswer: n**(-109\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/156060 and -115\/306.\nAnswer: 156060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sgnnhwsv. What is prob of picking 1 s, 2 w, and 1 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -121 - -123. Let n be (10\/(-5))\/(z\/(-3)). Let c(u) = 0 + 6*u**2 - n + 1050*u**3 - 1051*u**3. Calculate c(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4 + 3 + 0. Suppose 0 = 3*x - 12 - 6. Let u(y) = -1 + y - x*y + 5*y - y. Calculate -2*o(a) + u(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/47 and 36\/50370229?\nAnswer: 50370229","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 4*r = -13, -1230*g - r = -1235*g + 28 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/3))**(-27\/5)\/(h**(1\/5)*h**(-3\/4)))\/((h*h\/h**(-4)*h**(-1\/7))\/(h*h**(-2\/5))**(-4\/25)) assuming h is positive.\nAnswer: h**(-31511\/3500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12091 is divided by 159.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ctct when four letters picked without replacement from {t: 5, c: 8, g: 3}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-407)\/(-74)*(-3 + 1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - 0. Let u = -3.2 + 3.6. What is the closest to 0.1 in t, 0.1, u?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 24*h**2 + 32*h - 2. Let l be a(26). Is ((-2)\/(-6))\/((-1)\/l*3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)*5*3 + -3 + (-2 + sqrt(28))**2.\nAnswer: 29 + 37*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2 + 22*b - 6. Determine z(-14).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from emjjmjmw.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let n be 139255\/(-5484970) - (-18)\/711. Which is the fourth biggest value? (a) 2\/3 (b) n (c) -1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -67 - -298. Let y = k + -63. Calculate the highest common divisor of y and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 9.494844 years?\nAnswer: 0.009494844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2*r**2 - 3 - r - r)*(-6*r**2 + 3*r**2 - 3*r**2).\nAnswer: -12*r**4 + 12*r**3 - 12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 293488348?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 8:44 AM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 283 + -282.9999861. What is g rounded to six dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-53)\/5 + (-90)\/(-10)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26974769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8.01 in -0.09, 0.24, 23?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 180 divided by -1688?\nAnswer: -45\/422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/4)\/(11\/(-44)). Let h(k) = k**y + 4*k**2 - 25*k + 4*k - 10 + k. Let w be h(-6). What is the highest common divisor of 19 and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 3:42 PM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 356 a factor of 6431001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) - ((sqrt(896)*3 - sqrt(896)) + sqrt(896) - sqrt(896)))\/(sqrt(288) - (-2*sqrt(288) + sqrt(288))).\nAnswer: -7*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/5)*w)**(-1\/2)\/(w*w\/(w**(2\/5)*w))**(-2\/35) assuming w is positive.\nAnswer: w**(-93\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 50 = -14. Suppose -4*s - 3 = -11*g + 6*g, 3*s = g + y. Find i, given that 6\/7*i**g + 15\/7*i**2 + 0 + 6\/7*i = 0.\nAnswer: -2, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.29972 + 0.3. Round w to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*a + 35*a - 7*a**5)*(2 - 1 - 3) + (-4 + 2 + 0)*(-2 - a**5 + 2).\nAnswer: 16*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(-2*sqrt(704)) - (((2*sqrt(24))\/sqrt(12))**2 + sqrt(2) + (sqrt(2) + (sqrt(22) - sqrt(44)\/sqrt(2))\/sqrt(11))**2).\nAnswer: -10 - 17*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 398 divide 7875287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a*r - 71*a*x**2 + r*x + 118*x**2 wrt a?\nAnswer: 2*r - 71*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a - 5*u - 10, 0*a + 18 = 2*a + 4*u for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 2 + 2*p)*(-3*p + 4*p + 8*p).\nAnswer: 18*p**2 - 9*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 363?\nAnswer: 2541","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-3)\/36*-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 1. Let x(a) = 18*a**2 + 28. Let u(m) = 6*d(m) - x(m). Differentiate u(k) wrt k.\nAnswer: -48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 13*d + 27. Let z(y) = -11*y - 26. Let w(j) = -4*n(j) - 5*z(j). Let b be w(-10). Let u(v) = -v - 9. Let l(x) = -x - 14. What is b*u(m) + 5*l(m)?\nAnswer: 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -304328, -304799, -305270, -305741, -306212, -306683?\nAnswer: -307154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3323.\nAnswer: 3323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3029 and (26 - 0)\/((-68)\/(-306))?\nAnswer: 27261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 2*w - 43, -b - 2*w = -0*w - 17. Suppose 3*f - 4*g - b = 5, -3*g + 49 = 4*f. Calculate the least common multiple of 1 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -4, -2, 2\/231?\nAnswer: 2\/231","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 - 56. Let p = q - -81. Which is the smallest value? (a) p (b) 5\/4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2842755 to the power of 1\/3, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 262166.8 + -1.3?\nAnswer: 262165.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -1\/8 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w, 0 = 2*i - 4*w + 2*w - 2. Let f(k) = 28*k**2 - k + 1. Let d be f(i). Calculate the common denominator of (-18)\/d*(-22)\/(-6) and -17\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zng when three letters picked without replacement from nzfnffnfffgfffionff.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d - 3. Let z be m(6). Suppose -4*b + 3 + z = 0. Suppose -b*n + p + p = 10, 2*n - 2*p + 10 = 0. Solve 1 = q - n for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3069, 3089, 3111, 3135, 3161?\n\"Answer: k**2 + 17*k + 3051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**3 - 16*t**2 + 21. What is the remainder when i(8) is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -680 divided by -2?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1307 (base 8) in base 5?\nAnswer: 10321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 100 - 4601\/46. Let v = 12\/23 + q. Factor v*l**3 - 1\/2*l + 1\/2*l**2 - 1\/2.\nAnswer: (l - 1)*(l + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13003 + 72482 = 123*o. What is the highest common factor of o and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + 87 + -32 + 29?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.9 in -2\/19, 4\/7, 1\/45?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*y - 6 = 124. Sort 0, y, -2, -9 in descending order.\nAnswer: 0, -2, y, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6 + -4*45\/612 - -6. What is the biggest value in z, -2\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1892)\/688 - (-2 - 36\/(-8))?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, -2\/27, 1, 805?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1921.2 + 1921.18264. Round l to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/14 + 0 + (-14)\/(-4). Suppose -5*s - 706 = -2*q + 3*q, 0 = 5*s - g*q + 702. What is s rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6783824, -6783854, -6783884?\nAnswer: -6783914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - -3.3152856607.\nAnswer: 3.4152856607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2 = -12. Suppose -6*t + s = -t. Suppose -t*l = 3*l - 430. What are the prime factors of l?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.01, -1\/3, -1\/31, 0.4, -4, 0.3, -0.0086?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, y: 4, h: 5}. Give prob of sequence yh.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 68272814*s**2 - 62518074*s wrt s?\nAnswer: 136545628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -24552 * 1\nAnswer: -24552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/2 or 87331?\nAnswer: 87331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + -56. Let f = 32 + v. Suppose -w - 91 + 251 = f*g, 3*g - 2*w - 148 = 0. Is g a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9874867183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 185, 185, 179, 161, 125, 65?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 103 = -3. Suppose -334 + 1209 = h*r. Sort 2, r, 0.\nAnswer: 0, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -167214, -334272, -501142, -667830, -834342, -1000684?\nAnswer: -1166862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*g**4 - 74435*g**3 - 135357049*g**2\/4 - 100360457*g\/2 + 2467947\/4 = 0.\nAnswer: -907, -3\/2, 1\/82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*p**2 + 26*p**2 + 45*p**2.\nAnswer: 54*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.226 to one dp.\nAnswer: -5.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**20)**20 assuming f is positive.\nAnswer: f**(-380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (75\/10)\/(-5)*2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(119)*-4 + sqrt(119) - 5*(sqrt(119) - (sqrt(119)*1 - sqrt(119))))\/(sqrt(112) - sqrt(112)*1 - -2*sqrt(448)).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 4*u**2 + 5*u. Let x(z) = -2*z**3 + 6*z**2 - 8*z. What is -8*l(y) - 5*x(y)?\nAnswer: 2*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 3. Let s(t) = -t**3 + 3*t**2 + 1. Let o be s(z). Sort -3, o, -2 in decreasing order.\nAnswer: o, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -165084.37 less than 200?\nAnswer: 165284.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -55120 (base 12) to base 2\nAnswer: -11011011101101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -202 (base 4) to base 5\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 2*k**2 - 55*k + 2. Determine v(-6).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 124.\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 1376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2*f. Let v be (((-64)\/(-6))\/(-4))\/((-2)\/3). Let o be (-70)\/(-5)*2\/v. Solve 5*j - o = 3*r, f = j - 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*w - 43*w - 25*i + 1575 = -23*i, 0 = -4*w - 6*i + 70 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-4 - (2 + 9)) - 10) + -19\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 8*t - 6. Let x be w(8). What is the highest common factor of x and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of 1\/24*q**4 + 0 - 1\/120*q**6 - 1\/60*q**5 + 1\/6*q**3 - 3*q**2 + 0*q. What is y in k(y) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 11*y**3 - 6*y + 13. Let x(s) = 5*s**3 - 3*s + 6. Determine -6*j(d) + 13*x(d).\nAnswer: -d**3 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 100 = -3*d. What is the smallest common multiple of 60\/9 + (-2)\/3 and d - 5*4\/10?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 4.683462 kilometers?\nAnswer: 4683462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.6 (b) 3.88 (c) 0.2 (d) -1\/348 (e) -4 (f) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 10:31 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*o**2 + 8996202*o*y**2 + 2596*y**2 + 616*y + 5 wrt o.\nAnswer: -14*o + 8996202*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2 (b) 0.3 (c) 2.2 (d) 1\/9 (e) -4 (f) 16.83 (g) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -2*m + 5*z, 5*m = -4*z - 22 + 6. Let x = -4040\/17 - -12154\/51. What is the nearest to 2\/7 in -2\/5, m, x, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*g - 165. Let z = g - 19. What are the prime factors of z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 15*g**2\/2 - 1344*g - 11232 = 0.\nAnswer: -8, 936\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 152363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11117213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21083717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -113342, -5, -2 in descending order.\nAnswer: 4, -2, -5, -113342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 290*d + 10765. Let l be w(-37). Solve 24*u + 131 = l for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, w: 2, t: 5, l: 4}. What is prob of sequence ly?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10353\/4437)\/(98\/(-12))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**3*v - 2*k**3 + 162*k**2*v**2 - 4*k*v**2 + k*v - 2*v**2 + 2*v wrt k?\nAnswer: 6*k*v - 12*k + 324*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26270 bigger than 26270?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 2:22 AM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -11003?\nAnswer: -2\/11003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1111, -1093, -1063, -1015, -943?\n\"Answer: p**3 + 11*p - 1123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 5*s - 31. Let u be y(7). Solve -d - u*d = -20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3753*u = -3760*u - 4*c - 80, 25*c = 2*u - 683 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n*n**1*n*n)**(-4\/13)*n**(2\/5)\/n**(-1\/6)*(n*n**(2\/7))**47\/(n**(1\/3))**(-2\/57) assuming n is positive.\nAnswer: n**(9206009\/155610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0028898956 rounded to four dps?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z + 19*z**2 - 4*z + 3 - 20*z**2 in the form g + p*z**2 + c*z and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14230008 and 6552.\nAnswer: 99610056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(2\/69))\/(r\/((r\/r**20)\/r)))\/(r**0*r)**(-13) assuming r is positive.\nAnswer: r**(-481\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/8)\/((-4)\/(-192) - 0) + -9?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88 and 374?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 5 + 10, -5*y = 3*z + 22 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g + 4. Let j be 0 + -4 - (-1 - 0). Let z be d(j). Let s be (-6)\/z*(-247)\/57. Which is smaller: 4 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 1 - (-2 + -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1250 is divided by 102?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65767812 by 946.\nAnswer: 69522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three eighths of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 14 = 5*i. Suppose -3*y - i = -5*b + 2, -5*b = -25. Is 3 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 9*v**2 - 6*v - 9. Let n = 29 - 21. Let a be g(n). Suppose 6*s - a*s + 42 = 0. Calculate the greatest common factor of s and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 648 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 710\/(-34) - 91*(-9)\/39.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 6:22 AM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**2 - 1014*z + 71740 = 0.\nAnswer: 85, 422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 + 1)*(6 - 7). Let q(m) be the first derivative of m**n + 14 - 7 - 1. Let s(v) = -9*v. What is s(q(p))?\nAnswer: -18*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence auuu when four letters picked without replacement from lllaguul?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*4 + 32\/12*3. Solve -4*i + 4 = 0, t = 2*i + 2 - q for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**5\/7 + 388*p**4\/7 + 18202*p**3\/7 - 82144*p**2\/7 - 310632*p - 296352 = 0.\nAnswer: -98, -9, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2483*b + 1914*b + 1272*b + 4.\nAnswer: 703*b + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/3, -0.1721, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11 + -459?\nAnswer: -46a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3982765324*d**2 - 3982765328*d**2 + 3 + 2.\nAnswer: -4*d**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2594625127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 12:51 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39 + -36. Suppose 2*s - 12 = i*p, 3*s + 5 - 1 = -p. Let t = -83\/140 + -1\/140. Which is smaller: s or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -5*f - 6. Let g(u) = -6*u - 3. Let c(n) = 12*n + 5. Let a(b) = 2*c(b) + 5*g(b). Let j(x) = 3*a(x) - 4*s(x). What are the prime factors of j(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179992764?\nAnswer: 2, 3, 7, 714257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 36504 = 6*g. Suppose 20389 = 4*c - g. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - l**2 + 75*l**3 + 250*l**3 - 123*l**3 + 4 to the form m*l**2 + w + t*l**3 + o*l and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0040329 rounded to five dps?\nAnswer: -0.00403","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/1242300 and -13\/2525?\nAnswer: 1242300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*n + 4)*(5 - 1 + 0)*(2*n + 1 - 1)*(10*n - n - 5*n).\nAnswer: 64*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 + -12?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -230bb44 (base 13) to base 8.\nAnswer: -51131153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 48539726?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7 - 2) + 348*(-11)\/(-429). Sort -1\/2, t, 0.3, -22\/9, -5 in increasing order.\nAnswer: -5, -22\/9, -1\/2, t, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 54067, 108192, 162311, 216424, 270531, 324632?\n\"Answer: -3*g**2 + 54134*g - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + (-3 + sqrt(252) - sqrt(252)) + sqrt(252))**2*2.\nAnswer: -144*sqrt(7) + 2034","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2*-1 + 3)*2. Let k = -508\/3 + 168. Which is the smallest value? (a) k (b) 0.1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 332176181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89279 is divided by 72.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 196646062 divided by -11149\nAnswer: -17638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 2*g**3 + g**2\/2 - 6*g + 2. Let c(u) = 5*u**2 + 2*u - 6. Let p(w) = 7*c(w) - 6*f(w). What is the units digit of p(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + 13. Let p = -22 + t. Suppose -m = i, p*m - i - 15 = -2*m. Solve k = m*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 8. Let g(v) = 1. Let f(w) = 3*w + 5. Let p(s) = f(s) - 6*g(s). Let m(y) = -5*y + 2. Let q(a) = i*m(a) + 8*p(a). What is q(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 5*d + 2. Let b be m(-4). Let z be b\/(-63) + (-4)\/14. Let a(r) be the third derivative of -r**6\/120 - r**5\/60 + r**4\/24 + r**3\/6 + r**2. Give a(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/373697 (b) -0.06 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9574.8ng?\nAnswer: 0.0000000095748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -10*z**2 - 2*z - 2. Give o(3).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (-23 - 4 - -16 - -8).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 14*r**3\/3 - 7*r + 19. Differentiate j(b) with respect to b.\nAnswer: 28*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6269 - 6268.7. Which is the nearest to -1\/6? (a) -2\/9 (b) 1\/8 (c) 2 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -154*a + 17020. Give r(111).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 66612 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - 2*d - d**3 - 2*d**4 + 4*d + d**4 + 11 as l + i*d**2 + b*d + j*d**3 + q*d**4 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-18) + 57\/(-9))*6419\/8253\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1474202 = -7371008\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 8*p + 0*p - 7*p + 106*p**2. Let q be n(-1). Let m be 2\/(-7) + 60\/q. Which is the third smallest value? (a) 0.2 (b) -0.9 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5)\/(x**(-4)*x))\/(x**(-2))**33 assuming x is positive.\nAnswer: x**64","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 7*b - 5. Calculate r(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*x**2 + 13*x**4 - 9*x**4 + 20*x**2)*(2*x - x + x).\nAnswer: 8*x**5 + 28*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (18\/12)\/(198\/(-308))\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0469 + 218800?\nAnswer: 218800.0469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u + 5*u - u + 8*u**4 + (53*u**2 - 23*u**2 - 23*u**2 + 2*u**3 - u**4)*(-1 + 0 + 2).\nAnswer: 7*u**4 + 2*u**3 + 7*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-9)\/(-4))\/(1\/(-8)). Let n = 22 + z. Let q be (4 + 1)\/((-3)\/(-3)). Solve 0 = -t - 2*s - 1, q*t - 2*t - n*s = -13 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -716930, -2867246, -6451106, -11468510, -17919458, -25803950, -35121986?\n\"Answer: -716772*y**2 - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -36, -84, -160, -258, -372, -496?\n\"Answer: l**3 - 20*l**2 + 5*l - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 187, -2960, 2 in decreasing order.\nAnswer: 187, 2, -2960","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r = -19*r - 33 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/4))**7\/((s**(-1\/3)\/s)\/s)**(-3\/29))\/(((s\/(s\/(s\/s**(2\/3)))*s)\/s)**5*(s\/s**(-1\/4))\/(s**(2\/5)*s)) assuming s is positive.\nAnswer: s**(-7\/870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 6. Suppose 2*d - 3*j = 355, 5*d + 8*j = y*j + 850. What is the remainder when d is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44800665 divided by 14933555\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 6:38 PM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -12 + 0 + 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 + -52. Let z be 6*(-3)\/n + 5\/(-5). Suppose -z*g + 200 = -2*t, -4*g - 7*t = -2*t - 373. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(187) + sqrt(187) + sqrt(187)*-3 + sqrt(187) - sqrt(187)) + (sqrt(187) - 4*sqrt(187)*-5 - sqrt(187)))\/(sqrt(396)*2*2 + -4*2*sqrt(396)).\nAnswer: -3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -419475 divided by 1275.\nAnswer: -329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.069115 * 3.728.\nAnswer: -0.25766072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23955 is divided by 23811?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 4. Let g = 9 + l. What is the common denominator of ((-133)\/42)\/(6\/g) and 145\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {p: 2, v: 2, j: 2, m: 2, k: 5}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1544.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 286.91 + -285. What is f rounded to 1 decimal place?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 12:46 PM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6912590717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-176)\/(-99))\/(-8) - (-92)\/90. Let h = 1 - -2. Which is the nearest to h? (a) -4\/3 (b) m (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/830 and -67\/4150.\nAnswer: 4150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*z = 10, -2*x = -11*z + 16*z - 17. Solve x = -681*m + 683*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6)\/(-80 + (-4560)\/(-60))*-200?\nAnswer: 50\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*u + 11580 = -5268. Suppose -u = 5*r - 11*r. What is the remainder when r is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12138 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13 + 2*a - 13)*(640 - 640 - 68*a) to t + k*a**2 + o*a and give k.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7 - 100\/(-15))\/((-1)\/1893) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3363434217 a multiple of 363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 626*u**2 + 1 - 628*u**2 - 4*u**3 + 7*u**3 in the form s*u + q + o*u**3 + v*u**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -17. Suppose 65*w + 485 = 86*w - 502. Which is smaller: w or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23.48 + 0.48. Let v = l + 20. What is the nearest to v in -1, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 - 214. Let o = 3031\/18 + z. What is the common denominator of o and -1\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 6*h + 6. Let t be z(-3). Let v = -3 - -1. Let c be 2\/v + 0\/2. Let w(u) = -u**2 - u + 1. Let d(s) = 2*s**2 + s - 3. What is c*d(j) + t*w(j)?\nAnswer: j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1872?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 17 = -5. Let u(h) = h**3 - 5*h**2 + 7*h - 4. Give u(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3100418 and 402.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/15*-1)\/(1\/(-9)). Let q be x - (-1 - (6 + -4)). Sort 5, 2, -4, q in decreasing order.\nAnswer: 5, 2, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.33 - 4.07. Let u = o - 0.6. Which is the closest to 0.2? (a) u (b) 0.3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17\/10 - 13\/10. Let x = 69 + -73. Sort -1\/4, i, x in descending order.\nAnswer: i, -1\/4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 34 (b) -1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 125137 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1232003 + 2120?\nAnswer: 1300123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -31001*q**2 + 5*q - 3. Let i be (-2)\/(-8) - 22\/(-8). Let u be b(i). Let z be 1\/(-3) + u\/9. Round z to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11.1 (b) -0.09 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/5)*p*p*p**(1\/2))**(-1))**(3\/4) assuming p is positive.\nAnswer: p**(-87\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 336577091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 - 528*k**2 - 16096*k + 72960.\nAnswer: -2*(k - 4)*(k + 40)*(k + 228)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -1. Let b be 4\/14 + (-15)\/(-21). Let z be (-4)\/2 - b*-1. Let v(x) = 2*x + 12. Let q(c) = z*v(c) - 12*s(c). Let r(m) = -m**2. Give r(q(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 7 + 27 - 8 = 8 + 6, 165 = 7*t + 90*z + 13 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 o, and 1 t when four letters picked without replacement from {u: 1, t: 1, m: 3, o: 9}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -70 - (-99 + (-48 - -90)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3020 (base 5) to base 15.\nAnswer: -1aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 74 (b) 11 (c) 5.2128\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/14))**(-7) assuming o is positive.\nAnswer: 1\/sqrt(o)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/272238 and -9\/136?\nAnswer: 1088952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/4)\/((-2)\/(-4)). Suppose 0 = w*r - 3 - 9, -2*f = 5*r - 1472. Does 64 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - p. Let h(j) = -2*j**2 - 2*j - 3. Let l be (-2 - 18\/(-10))*-5. Let a(m) = l*h(m) - 4*o(m). Is a(-4) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(208\/767))\/(289\/2312).\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.97424m in kilometers?\nAnswer: 0.00597424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b*b**2)\/b)\/b)**(2\/3)*((b\/(b\/b**8)*b)\/b)**(-15) assuming b is positive.\nAnswer: b**(-356\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 330 and 198.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*q + 383 - q**2 + 336 - 30*q + 8*q**3.\nAnswer: 8*q**3 - q**2 + 719","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2 + -1 + -3 + 2 + sqrt(320) + 0 + 0 + 5)**2.\nAnswer: 16*sqrt(5) + 317","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*0.01.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 4*b - 306, 0 = -3*b + 36*c - 35*c + 236. What is the highest common divisor of b and 942?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*f - 4 = 2, 3*f + 10 = u. Solve -a - 18 = u*t, 0*t - 4*a = 5*t + 17 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2 + 4 + 0 + 639*r - 3. Let w be x(14). Let y = -196985\/22 + w. Find the common denominator of y and 83\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72459162?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (8064\/45)\/((-12)\/(-30)) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22548507?\nAnswer: 3, 167, 45007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 11:16 AM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (70 - 34) + 31 + (-3 - -16)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/3))**(-13))**25*(q**(-5)*q\/q**6*q)\/((q*q\/(q\/q**6))\/(q*q*q\/q**(-3)*q*q)) assuming q is positive.\nAnswer: q**(301\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 58, 127, 222, 343, 490?\nAnswer: 663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10100 (base 2) to base 13\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 523956?\nAnswer: 2, 3, 47, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2752483409.9 rounded to the nearest 1000000?\nAnswer: 2752000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -100010101101?\nAnswer: -100010110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 782027 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26003 is divided by 83?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1138772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2507, 3852, 5149, 6386, 7551?\nAnswer: 8632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1267 * -0.0048.\nAnswer: 6.0816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 27*x**2. Let g(w) = -3625*w + 7247*w - 33*w**2 - 3622*w. What is g(p(q))?\nAnswer: -24057*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((65 - 2)\/7)\/(-2 - 200\/(-88)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21398318 divided by -1?\nAnswer: 21398318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14277152?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-768)\/56)\/(-8)*(-2)\/(-8)*42.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13088.\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**3 - 5*l**2 - 37*l + 5. Let j(k) = -2*k**3 + 6*k**2 + 37*k - 6. Give 6*f(b) + 5*j(b).\nAnswer: 2*b**3 - 37*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*g**2 - 34*g**2 + 133*g**2 - 31*g**2.\nAnswer: 20*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5152 is divided by 69?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*z - 104*z + 62 = -2*a, 4*a + 4*z = -76 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(49) + sqrt(3136)*1 + sqrt(49))\/(sqrt(7) - sqrt(343)*-1))**2.\nAnswer: 175\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7\/36 + -4\/9. Let z = -6.1 - -5. Let y = 1.3 + z. What is the third smallest value in k, -2\/9, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2113*h**3 + 7*h**2 + 11*h + 5. Let x be n(-5). What is x rounded to the nearest ten thousand?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 1:57 PM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -652 divided by -4\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (w + 4*w - 2*w)*((-1 - 2 + 4)*(-5 - 3 - 1) + 2 + 1 - 1)*(w**2 - 3 + 3) in the form h*w**3 + z*w**2 + j + q*w and give h.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -5*o**2 + 19*o + 8. Let z be r(-4). Let u = -128 - z. Solve n - 7 = -4*a + 8*a, -5*a - n = u for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbr when three letters picked without replacement from arbdbbrdabbdddbrbbba.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 341 + -494. Let c be (-23596)\/z - 2\/9. Suppose 4*w + 26 = h, -4*w = 3 + 9. Calculate the highest common divisor of c and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13194 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 9:45 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*t - 0*t. Let a(b) = -b**2 - 4*b + 1. Let y be a(t). Let w be 1*3\/15*2. Which is smaller: w or y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v - 14*v = -5*b + 63, 2*b - 5*v - 36 = 0. Suppose 4*d - 67 - 21 = 0. What is the remainder when d is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 29, 34, 43, 56, 73, 94?\n\"Answer: 2*x**2 - x + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19529 - 19214. Calculate the remainder when 987 is divided by v.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - g = 1878. Round g to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - r - 4. Does 31 divide a(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11.98 - 12. Let k = d - 3.48. Let l = -3.2 - k. Which is the second biggest value? (a) l (b) -1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1017999973.\nAnswer: 25457, 39989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - c = 13, 3*c = -m - 0*m - 14. Sort m, 1\/5, 0 in increasing order.\nAnswer: m, 0, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1045)\/(-258951)*-118*18\/(-2).\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, y: 2, v: 5, o: 4}. What is prob of sequence yvgy?\nAnswer: 7\/7344","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13662095.5 rounded to the nearest 100000?\nAnswer: 13700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 7*d**2 + 6*d + 16. Let p be r(8). What is the second derivative of -3*j + 10*j**5 + p*j**5 + 0*j wrt j?\nAnswer: 200*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: a (base 11) to base 8\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 22\/((-154)\/35) - (-4695)\/276 - (-4 - -16)\nAnswer: 1\/92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 335.\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1968 plus -3?\nAnswer: -1971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/13 (b) 67 (c) -3 (d) -284\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 16*h**3 + 35*h - 20*h**3 - 30*h - 11*h**2 + 13 + 37*h**3 in the form l*h**2 + y + t*h**3 + p*h and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1877591737 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10006, -2, 0.\nAnswer: -2, 0, 10006","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1272?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -519 + 519.4. Which is the nearest to 1? (a) p (b) -1\/8 (c) 1\/11 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(300) + -1)**2*5 - ((sqrt(300) - ((sqrt(300) + -1 - sqrt(300)) + -4)**2) + (sqrt(300) - (0 + sqrt(300) + 0))**2 + sqrt(300)).\nAnswer: -620*sqrt(3) + 9055","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -269 + 262. Let t(c) = -6*c**2 - 41*c + 11. Let x be t(u). Solve 16 = -5*q + i, 3*q + 12 = i + x for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4363*v**4 - 5*v**3 - 2*v**2 - 258411*v?\nAnswer: 52356*v**2 - 30*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 9*n = -3*s - 7 - 5, -2 = s + 10*n + 2 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 5:37 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -50534, -57430, -64326?\n\"Answer: -6896*h - 43638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4343*w + 81 - 21 - 14 - 16 - 12 - 15.\nAnswer: -4343*w + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -330*v - 225*v = -22995870. What are the prime factors of v?\nAnswer: 2, 20717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, c: 1, h: 1, k: 1, x: 1}. What is prob of sequence fch?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/80 and 69\/8.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + 1 - -3) + -7 + 5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 132.913655 to 0 dps.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*(sqrt(931) + -2 + sqrt(931)))**2 - (6*(sqrt(19) + 0 + sqrt(19)) + -4*(2 + sqrt(19))).\nAnswer: -11176 + 160*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 424 - 180. Let z = v - 236. Solve 0 = w - s - 6, 1 + z = w - 2*s for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k - 33 - 27 - 12 = 0 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*n + 8*n + 31*n = 0. Let f(p) = -p**3 + p - 8. What is f(n)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1389001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20222002112 - 101210?\nAnswer: 20221200202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 3*v - 7 + 1)*(v - 5*v + v) - 7*v**2 - 7*v**2 + 12*v**2 to k + b*v**2 + p*v and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v*v\/(v**(-1\/14)\/v)))\/v*v**(-5))**34 assuming v is positive.\nAnswer: v**(-2159\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4685917987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) -2 (c) 4 (d) -2\/33 (e) 2 (f) -153\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 127307479*g**2 - 120440201*g?\nAnswer: 254614958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/1965750 and -74\/33.\nAnswer: 21623250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m + 2*v + 2, -4*m + 2*v = 7*v + 9 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (189\/15 - -3)\/((-2169)\/30 - -72)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 5. Let b be 0 - (27\/(-3) + c). Let s be 2\/b - (-23)\/4. Calculate the highest common divisor of s and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1292504 and 8?\nAnswer: 1292504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 7*r**2 + 4*r - 7. Let l be i(-6). Suppose -l*y - 2*b = -168, 0 = -y - y + b + 69. Is 13 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 9 - (4 - 0). Let a(s) = -s**3 + 4*s**2 - 3*s - 4. Determine a(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + -16 + 13 + 11 + 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 573826.9 rounded to the nearest one thousand?\nAnswer: 574000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*r - 10 - 2, 6 = w + r. Factor 14*o - 20*o**3 + 5*o**w + 6*o**4 - 11*o**4 + 14*o - 8*o.\nAnswer: -5*o*(o - 1)*(o + 1)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3915.651 + 3903. Let g = 130.6 - 118. Let w = o + g. Round w to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 519 + q**2 + 1895*q - 943*q - 946*q.\nAnswer: q**2 + 6*q + 519","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 948 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 33793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/((((((a\/(a**10\/a))\/a)\/a)\/a*a)\/a)\/a*a*a)*a**(3\/19)*(a*a*a**1*a)**(3\/35) assuming a is positive.\nAnswer: a**(7648\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15735 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 1 + (1 - 3 + 1)*(-3 + 0 + 5) - 4 - 6 + 21)*(-w - w**3 + w) in the form h*w**2 + a + r*w**3 + l*w and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 13. Suppose 3*c - w*r = c + 534, 2*r = 0. Suppose -3*n + c = -n - k, -k = -3*n + 400. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43224 (base 7) to base 13.\nAnswer: 4b7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 8:57 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (4 - 2 - 11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2875608757 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 17, a: 2}. What is prob of sequence app?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.6 at most -454?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192 = -49*c - 2422 - 506 - 106 for c.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22\/493 - -29677\/8874. What is the common denominator of w and -17\/76?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 196*d**5 - 38866716*d**4 + 2120577468*d**3 - 29528278772*d**2 + 16357603104*d - 2312329680 = 0. Calculate d.\nAnswer: 2\/7, 27, 198245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 6*c**2 - 4*c + 26. Calculate o(4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v - 5*v - 78 = 2*n, v - 3*v - 400 = 8*n - 4*v for n.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4243133 (base 5) to base 2.\nAnswer: -10001011111110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 7*d**3\/3 + 72*d. Let t(b) = -4*b**2. Give t(c(n)).\nAnswer: -784*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -13*l + 1 + 4*l - 2*l + 3*l + 9*l. Suppose -2*c = -5*g + 14, 3*c = 2*g + 4 - 3. Let f(n) = n + 1. Give c*d(x) - f(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 102 - 5?\nAnswer: a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 4023.387 to the nearest 100.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2452)\/(-714) - (6 + -3). Let a = d - 9\/17. What is the third smallest value in a, 0.8, -5?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1112 - 102?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -110*h**5 - 215*h**4 + 340*h**3 + 425*h**2 - 460*h + 20 = 0.\nAnswer: -2, 1\/22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 159986669?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 82.976 - -0.024. Let r = g - 82.61. Let d = -0.426 + r. What is d rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 67*t**2 - 10*t - 40. Let u(r) = -135*r**2 + 17*r + 82. Let j(p) = -5*a(p) - 3*u(p). Find the second derivative of j(z) wrt z.\nAnswer: 140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -244490348*v**5 - 561727249*v**2.\nAnswer: -14669420880*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -5*u**4\/4 + 2*u**3\/3 + 7*u - 9. Let t(k) = -k**2 - 519 + 248 + 270 + k**3. Give o(y) + 4*t(y).\nAnswer: -y**3 - 2*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -i**6\/24 + 343*i**5\/6 - 73100*i**4\/3 - 591680*i**3\/3 + 35*i**2 + 5. Determine k so that s(k) = 0.\nAnswer: -2, 344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**4 + t**4 - 2*t**4 + (-3*t**3 - t**3 + 3*t**3)*(-t + t - 2*t) + 2*t**4 + 2*t**4 - 2*t**4.\nAnswer: 5*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -10*o + 4. Let k(v) = -30*v + 12. Let a(u) = -4*k(u) + 11*n(u). Determine a(3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2. Let n(b) = 973*b**2. Calculate z(n(a)).\nAnswer: -946729*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 527, 1945, 4299, 7589, 11815, 16977, 23075?\nAnswer: 30109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24109663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7531c1 (base 13) to base 14\nAnswer: 517a4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -90*a**2 + 2*a**3 + 90*a**2 + (-a + 3*a - 3*a)*(-13*a**2 - 12*a**2 + 5*a**2) - 4*a**2 + 4*a**2 - 3*a**3.\nAnswer: 19*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of 2*u**3\/3 + 5*u**2\/2 - 3*u + 4. Calculate b(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 58 = -4. Suppose -4*u + m + 21 = 0. Is 6 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 6:23 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56 - 18. Suppose d - 2*v - z = -d, -19 = -d + 4*v. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -162 + 176. Is 3 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o**3 - o**2 + 13*o - 115. Calculate z(6).\nAnswer: 575","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*j - 32 - 52 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1101 - 200?\nAnswer: -2001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 374 - 266. Does 48 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 288\/(-2376)*6\/8.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a + 9. Let v be (-33)\/3 + 9 + -6. Let y be s(v). Solve 3*l + 4 = 5*h, -3*l - 7 = -3*h - y for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82755360127.43 - 0.3.\nAnswer: 82755360127.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-6 + 4 - -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 2*v**4 + 4 - 6 - 10*v**2 + 0*v**2 + v**3 as x*v + b*v**4 + m*v**3 + k*v**2 + h and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 15. Calculate the greatest common factor of 1 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (342\/(-48) - 6) + 13. Which is the third biggest value? (a) u (b) -15 (c) 0.2 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 796880.9 years in decades?\nAnswer: 79688.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 9:32 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7672601?\nAnswer: 89, 86209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124137 divided by 9.\nAnswer: 13793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1286?\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 11 = 5*h. Let b(n) = 2*n - 4. Let x be b(h). Suppose 24 = 4*g - 4*t, t - 2*t + 3 = 0. Solve -g = s - x for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 5*r + 15 = 0, -2*r + 1 = 2*l + 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000010 + -12?\nAnswer: -1000022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 98, 6, -5 in decreasing order.\nAnswer: 98, 6, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.5 in -0.2, -3, 2\/115?\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 less than -31014419849?\nAnswer: -31014419832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -3830415.\nAnswer: -4\/3830415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 3 - 7)*(-4*r**3 - 12 + 12)*(1 + 0 + 1)*(-4*r + r + 5*r)*(4 - 3 + 3) in the form y*r + l*r**3 + w + i*r**4 + k*r**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7484*u + 7607*u - 4059 = 0 for u.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 6*y**2 + 4*y - 2. Let z be l(-5). Factor -3\/4*d**z + 0 + 3\/4*d + 0*d**2.\nAnswer: -3*d*(d - 1)*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31074827 divided by -223?\nAnswer: 139349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 + 11 - (-39)\/(-6). Let j = 1.3 - 0.8. Let p = j - 0.6. Sort -4, d, p in ascending order.\nAnswer: -4, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 0)*(-62)\/248 + (-175)\/28?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ibiiiimibibhiibbibi. What is prob of picking 2 i?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103201 - 112012?\nAnswer: -221213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 859\/7 - 123. Which is the second biggest value? (a) y (b) 4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 5 = 3*a + i, -2*a = -4*i for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -16. Suppose -7*d + l = -3*d. Differentiate -1 + 1 + d*h - 2 with respect to h.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 409586?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 4. Let y be r*((-12)\/(-9))\/(-4). Let h(v) be the third derivative of v**6\/120 - v**5\/60 + v**4\/24 - 5*v**3\/6 + 2*v**2. Give h(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215*i + 209*i = 0. Solve -5*d + i*f - 5*f + 25 = 0, 3*d - 10 = -2*f for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-7) + (-32857860)\/735. Round n to the nearest 100.\nAnswer: -44700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000002301 to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 29\/48 (b) -37\/12 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.05 (b) -0.0423 (c) -0.5 (d) -0.3 (e) -0.089 (f) 3\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (170\/13940)\/((-18)\/(-738)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(336) - (sqrt(336) - sqrt(336)*-1 - sqrt(336)))\/sqrt(6))\/(sqrt(200)*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 456.1995899 + -456.2. What is g rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.7484574 + -2726.\nAnswer: -2720.2515426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 24304735477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d - 10*d - 51 = -r, 2*r + 4*d = 102. Suppose 0 = 4*f + w + 143, 0*f + f + 35 = -w. Let k = r + f. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4 = -0*q, 4*y - q - 21 = 0. Let n(a) be the second derivative of 0 - 3\/10*a**6 + a**3 - 3\/10*a**y + 3\/4*a**4 - 4*a + 0*a**2. Factor n(v).\nAnswer: -3*v*(v - 1)*(v + 1)*(3*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18443 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 756606250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-1) - (0 - (-76)\/28)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9336018 millilitres in litres?\nAnswer: 0.0009336018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 6 = 3*v, 5*v = 3*h - 58. Let s be 11\/((-220)\/(-25)) - 22\/h. Which is the closest to -2? (a) -1\/6 (b) s (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 5 - s + 21*s - 11 + 2*s to o*s + h and give o.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/54*9)\/((-1)\/84)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 48390?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 7*g + n = 19, 0 = 2*g - n + 10. Is -27116*(g - -1)\/(11 - 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80584, 80572, 80538, 80476, 80380?\nAnswer: 80244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-22)\/33*-1 - 12\/18. Let g = 1054\/5 + -210. Let 8\/5*b**2 + 4\/5*b + c + g*b**3 = 0. Calculate b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29696\/9527 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*k**3 + 11*k**3 - 1 + 18*k**3 - k as u + a*k**2 + f*k + z*k**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 104 + 105 - 303 - l**2 - 722*l + 99 as h + o*l**2 + y*l and give y.\nAnswer: -722","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -16*g**2 - 4*g + 3. Let t(p) = -p**2 - p. What is -j(y) + 5*t(y)?\nAnswer: 11*y**2 - y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100011001 + 1101100011011?\nAnswer: 1100000000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 8*l - 27 = 0, -2*o + 5*l - 772 = -790 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 5, 7\/4, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*k - 1. Suppose 5*p - 1 = a, -4*p + 5 = k. Suppose 3*l = -3*g + 3, -a*l = -2*l + 3*g. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 309 = -4*k. Let g = k + 152. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 12, -193, -44, 20, -1, 2 in decreasing order.\nAnswer: 20, 12, 2, -1, -2, -44, -193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -5. Let w be 1*4\/(-4)*0. What is the closest to 1 in 5, j, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 g when three letters picked without replacement from {w: 1, g: 2, x: 2, a: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1135*q + 1288 - 1288.\nAnswer: -1135*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*((f*f*f*(f\/(f\/f**(-14)))\/f)\/f)\/f*f)\/f*f*f**(12\/11))\/(((f\/(f\/(f\/(f**(-1\/28)*f)))*f)\/f)\/f*f*(f*f**(-2)*f)\/f*f) assuming f is positive.\nAnswer: f**(-3371\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9837036823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 435170251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1645636?\nAnswer: 2, 411409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13440295 to the nearest integer?\nAnswer: 3666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 262 - 178. Let i = n + -85. Suppose 5*k - 19 + 4 = 0. What is the closest to i in k, -2, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 9:44 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**3 + 144513*w**2 + 142543017*w + 35518398507 = 0 for w.\nAnswer: -47169, -501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -30*q - 2. Let j(p) = -120*p + 12 + 23 - 31*p - 46. What is 4*j(n) - 22*s(n)?\nAnswer: 56*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + -1)**2 + -1)*4.\nAnswer: -8*sqrt(19) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 310 + 285 = -y, -t + 3*y + 5 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 152\/171 + 892808\/72 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*d**3 - 12*d**3 - 5*d**3)*(0 - d + 0) + d**4 - d**4 - 3*d**4)*(4*d - 3*d - 2*d).\nAnswer: -8*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3718 (base 9) in base 8?\nAnswer: -5323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2793 = -731*n - 8172 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, h: 9, a: 2}. Give prob of sequence rhhr.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -16.016 and 16561.14.\nAnswer: 16545.124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 23*f. Let i(n) = -n**2 - 3*n + 3. Let x(y) be the third derivative of -y**4\/12 + y**3\/3 - 19*y**2. Let t(d) = 2*i(d) - 3*x(d). Determine t(w(c)).\nAnswer: -1058*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20141468?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 1. Let s(g) be the third derivative of -7*g**5\/60 - g**4\/8 + g**3 + 5*g**2 + 29*g. Let a be ((-4)\/(-8))\/((-5)\/(-60)). Calculate a*x(u) + s(u).\nAnswer: -u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 77\/4454?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -587 + 589. Let j be ((-1)\/(1 + 0))\/13. Which is the second biggest value? (a) z (b) j (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of 0*p - 13\/20*p**6 - 1\/3*p**4 - 54*p**2 - 3\/56*p**8 - 31\/105*p**7 - 7\/10*p**5 + 0 + 0*p**3. Let q(j) = 0. Calculate j.\nAnswer: -1, -4\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -99 - 259 - 758 + 145 + 242*g + 29*g wrt g?\nAnswer: 271","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 3 = -3*h - 18, 0 = 4*y + h - 8 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -22.4 and -59?\nAnswer: 36.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9 and 83.7574?\nAnswer: 74.7574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7364735.\nAnswer: 5, 7, 210421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3*m - 20, 2*m + 34*x + 5 = 37*x. Solve -m*d = -v - 10*d + 20, 5 = d for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19040505 divided by 114015.\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -5, 2\/7, -0.36 in descending order.\nAnswer: 0.4, 2\/7, -0.36, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 26*p. Let s(h) = 76*h + 84. Determine 3*c(g) - s(g).\nAnswer: 2*g - 84","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 3071?\nAnswer: 3072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 1 = -2*u. Let k = -1275 - -25499\/20. Which is smaller: u or k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, x: 2, z: 8}. Give prob of picking 3 x and 1 z.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/11)*u*u*u**(-1\/2)*u)\/(u**20\/(u*u**(5\/11))) assuming u is positive.\nAnswer: u**(-357\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4424 and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 534, 1070, 1606, 2142?\nAnswer: 2678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1058 + 92\/3*d + 2\/9*d**2.\nAnswer: 2*(d + 69)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y**3 + 264*y**2 + 260*y - 87. Give c(-87).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 14*s + 49. Let r be p(-22). Suppose -44 = -5*y + 186. Calculate the remainder when y is divided by (11 + r\/14)\/((-3)\/4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + (4 - 19) - (1 - 5 - 1).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(832) - (-1 + sqrt(832) + 3*sqrt(832) + sqrt(832))) - (1 + sqrt(832) + -2*2*sqrt(832)))**2.\nAnswer: -1680*sqrt(13) + 366937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and -32128548.\nAnswer: -32128548.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k + 86. Let g be d(-29). Let q(t) = t**3 - 2*t**2 + 2*t - 1. Let z be q(2). Which is the nearest to g? (a) 0.2 (b) -0.2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 12, j: 6}. Give prob of sequence jjj.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -24*q - 3136. Give p(-130).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359016605?\nAnswer: 5, 71803321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4826*l**5*y - 2490*l**4*y + 312753875*l*y wrt l.\nAnswer: 96520*l**3*y - 29880*l**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/11 - 1\/66. Let i = -1.3 - -0.4. Let q = i + 1. What is the second smallest value in q, o, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*u - 8*u - 610. Suppose 14 = -6*x + u. Calculate the highest common divisor of x and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 2 = 10 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -116900 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of h**2\/2 + 1. Let j be s(2). Calculate the greatest common factor of 2 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = u + 14, -3*z - 5*u = -0*z + 16. Suppose -3*d - 18 = -3*g + 8*g, z*d - 42 = 5*g. Let o(t) = -t**2 - 6*t - 3. Give o(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**5 + 4*c**5 - 6*c**5 + (-c - c**2 + c)*(4 - 4 + c**3) + 3*c**5 - 3*c**3 + 3*c**3 - 4 - 4*c**5 + 2317*c**4 - 2317*c**4.\nAnswer: -3*c**5 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*v + 9*v + 9*v)*(2*v + v - v)*(7*v - 3*v - v)*(1 + 0 - v - 2) to the form d*v**2 + j*v + w + r*v**3 + l*v**4 and give r.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 155 and 6665.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/((-3)\/(-4)) - (-1711)\/(-472). Let u(o) = o**2 + 6*o + 4. Let b be u(-5). Which is smaller: b or a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 31354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 7 + 2 = 2*v, d + 1 = 0. Solve -4*g + 20 = 3*w, v = 4*g - w - 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*v**2 + 3*v**2 + 0*v**2 + (2*v**2 - 1 + 1)*(-2 + 4 - 1) - v**2 - 3 + 3 - v**2 - 2*v**2 + v**2 - 3*v + 3*v + v**2 - 3 + 8*v**2 + 3.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 12*j**2 + 226*j + 2541. What is s(-11)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -31\nAnswer: -5\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 37247 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -1. Let f be 2\/1*(96\/(-56))\/(-6). Which is the smallest value? (a) f (b) -2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 58*j + 70. Let f(s) = 37*s + 34. Let a(n) = -5*f(n) + 3*i(n). Give a(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 961967.6 days in seconds?\nAnswer: 83114000640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11460 and 33097435?\nAnswer: 955","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 71 = -m, 0*k + 2*m = 2*k - 74. Suppose -i + 3*p + 0*p = -k, 3*p = -4*i + 129. Is i a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 z when three letters picked without replacement from zlzzzlz?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 19, 88, 205, 370, 583, 844, 1153?\n\"Answer: 24*y**2 - 3*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -23 + -2 + 24\/4. Let x(v) = -v**3 - 19*v**2 - 15*v - 20. Let g be x(h). Let s = -178 + g. Does 22 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 97. Let b = w + -93.999795. Round b to 5 decimal places.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z\/z**0)**9\/(z**(-2)\/z)**37)\/((z**(-1))**(-16)\/((z\/(z\/(z*z*z\/((z**(-2\/9)\/z)\/z)*z)))\/z*((z*z\/z**(2\/5)*z)\/z)\/z)) assuming z is positive.\nAnswer: z**(5752\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 4*g**2 + 64*g - 502. Determine r(7).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6 + (10 - -1) - (5 - 0\/(-1)). Solve 0 = -b + l + 6, 2*l + k*l = -5*b - 12 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 755 - 638. What is the remainder when v is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttmtmmtmmm. What is prob of sequence mmtm?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**2 + u + 1064. Let f be q(0). Suppose -2688 = -2*w + f. Is 28 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 42*f**2 - 9*f - 23. What is the remainder when x(-2) is divided by 66?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than -12580644?\nAnswer: -12580644.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1041 - -1034. Suppose -4*i + 379 = -117. Let q = i + y. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**2 - 2167838*y + 1174880398561 = 0. What is y?\nAnswer: 1083919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.11 (b) 1 (c) 1\/2 (d) -19.8 (e) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -316*o + 33 = -313*o - k, -5*o = -4*k - 55 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.775989 - 15277.\nAnswer: -15276.224011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 5*n**3 + 2*n**2 + 5. Let o(t) = 36*t**3 + 15*t**2 + 36. What is 2*o(w) - 15*v(w)?\nAnswer: -3*w**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -10664191.6 to the nearest one hundred thousand.\nAnswer: -10700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -131139\/5 + 26228. Sort t, 1, 37, -0.5, 4\/5.\nAnswer: -0.5, t, 4\/5, 1, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l - 59. Give p(22).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eiitijniinnni. Give prob of picking 1 i and 2 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 47978*v**3 - 19927.\nAnswer: 143934*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2)*(z - 3*z + 5*z + (0*z - z + 2*z)*(3 - 17 + 5)) in the form f + w*z and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 107.05 or 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73365*x + 40 + 64 - 102.\nAnswer: 73365*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1.21*26.581\nAnswer: 32.16301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5600.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -12*k + 16*k + 5*t, -3*t - 10 = k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/5*(1365\/26)\/21.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 133*l**3*q**3 - l**3*q + 694*l**3 + 17053*l*q + 5*q**3 - q wrt l.\nAnswer: 798*l*q**3 - 6*l*q + 4164*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 72\/(-12)*6\/9. Let y = 1.02 - 0.72. Which is the closest to p? (a) -0.1 (b) y (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129 - 1161985*v**2 - 5*v**3 + 129 + 1161985*v**2 - 7*v**3.\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1838297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and -10760427.\nAnswer: -10760430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = y + 2*y. Let f be 2 - (1 - 45)\/y. Suppose 0 = -4*n + f - 14. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 9:53 AM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 95, 263, 585, 1109, 1883?\nAnswer: 2955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjxxrrrjjrjjkfjx. What is prob of sequence rrkr?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25415 (base 6) to base 2.\nAnswer: 111011110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(612)*-2.\nAnswer: 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*j + 135 = -14*j. Let s = -25 - -12. Sort j, -2, s.\nAnswer: s, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1949*a + 0*a**2 - 923*a - 4*a**2 + 5*a**2 - 1026*a.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, j: 2, p: 4, t: 1, o: 1, u: 4}. What is prob of picking 2 u, 1 z, and 1 j?\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**3\/v)**24 assuming v is positive.\nAnswer: v**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u + 1. Let t(z) = -z**3 - z**2 + z + 1. Determine -2*r(a) + 2*t(a).\nAnswer: -2*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, b: 2, q: 4, a: 1}. Give prob of sequence bba.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/((-21)\/(-2)))\/(6\/(-27)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t - 4*t + t**2 + 0*t**2 - t**2 + 0*t**2 + (0*t + 2*t - 4*t)*(-t + 0*t + 2*t) + 2*t**2 + t**2 - 8*t**2.\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 - (21 + 51 + 56).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -435.5 - -436. Which is the closest to -6? (a) j (b) -3\/5 (c) 1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34993045309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45158 and 402.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 53784 and 3.\nAnswer: 53784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 4358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 x, and 1 r when four letters picked without replacement from {x: 2, v: 1, r: 1, l: 2, m: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*b - 27 + 7*b + 11*b.\nAnswer: 30*b - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 0.4, 4, 65, -1\/4, -0.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 7:31 PM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -9290*n**2 + 10. Let w be i(13). Round w to the nearest one hundred thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 0 - ((-8)\/(-4) - -2). Which is the fourth biggest value? (a) 1\/7 (b) g (c) -3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 0, p - 147*i = -151*i + 408. Do p and 1223\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 495715 to the nearest ten thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8342.8 rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/350*10 + 134\/(-30) - -5. What is the smallest value in -2\/7, -5, -0.99, v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 - 28*i + 39. Let m be r(-29). Suppose -z + 7 = -5*v + m, 2*v + 6 = -2*z. Factor 6\/7*o + v + 3\/7*o**2.\nAnswer: 3*o*(o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q - 2*i = -12*q + 7, -q + 21 = -4*i. Let d = 1 - -1. Is q less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 2 - (-29 - -40)) + 1 + -5?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -8 + 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25c66 (base 13) to base 11.\nAnswer: 48836","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 1. Let w(f) = -2*f - 13. Determine 2*d(g) - w(g).\nAnswer: 2*g + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(252)*5 + (3 + (sqrt(252) - (sqrt(252) + 2)))**2.\nAnswer: 1 + 150*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.96 + 7. Let o = 3.03 - 0.99. Let h = w - o. What is the closest to -3 in h, 0.2, -4\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 108 - -288?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {o: 1, v: 7, j: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 14 - 14 = 0. Calculate the greatest common factor of y and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - -2*(-3 - -1). Let h be (-1)\/(2 + (t - 0)). What is the third biggest value in h, -0.3, -1\/12?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) 6\/13 (c) 0 (d) -4 (e) 0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + 8*k - 1. Let r be c(0). Let m(z) = z**2 - 5. Let g(i) = -2*i**2 - 39*i - 25. Let t(j) = r*g(j) - 3*m(j). Solve t(v) = 0 for v.\nAnswer: -1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 325783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15368 and 11187?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fkifiqkffi. Give prob of sequence ikf.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19312 a multiple of 142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1025361656 a multiple of 207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5 = 4. Let i be 3 + 2*-1 - 1. Suppose i = -4*s - 0 + 4. Which is greater: s or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**2 + 4*n**2 + n**2)*(28*n**2 - 698 + 698) + 2*n**4 + 0*n**4 + 4*n**4 + (-21 + 21 + 5*n**2)*(-n**2 - 3 + 3) - 2*n**4 + n**4 - n**4.\nAnswer: 27*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94761 is divided by 4296?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1234?\nAnswer: 2, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/15 + (-64)\/30 - 34. Let q = 5 - b. Let f = q - 23. Does 12 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -o**5\/60 + 7*o**4\/24 - o**3 + 3*o**2. Let k(t) = t**2 + t - 3. Let v be k(-5). Let g(r) = r - 12. Let n be g(v). Give w(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 9:19 PM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 8:55 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61 - 63. Let a be 15*n*(-5)\/15. Suppose 0 = 2*x + a, 2*i = -2*x + 3300 - 588. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 234552 and 820932?\nAnswer: 1641864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 352*f**2 - 1417*f + 2372. Calculate z(-356).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u + 4*u - u + 2*u.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 21976, 87893, 197754, 351559, 549308, 791001?\n\"Answer: 21972*q**2 + q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of t**6\/2 - 6*t**5\/5 - 3*t**4\/2 + 8*t**3 - 21*t**2\/2 + 6*t - 75. Factor p(n).\nAnswer: 3*(n - 1)**4*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 3:45 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 388331488 a multiple of 224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -0*k - 28. Is 2*k\/7 - -1422 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.93 - -0.07. What is the third biggest value in n, -9, 0.4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 26. Let n be m\/(-14) + 7\/2. Solve 0 = -2*u - 8 + n for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -170, 2, -3 in increasing order.\nAnswer: -170, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5 - -3.5. What is the biggest value in 1, i, 2, -0.04?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence roow when four letters picked without replacement from wrwoy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 809 + 142*c**2 - 508 + 1501.\nAnswer: 142*c**2 + 1802","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-1*(-41)\/(-246).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 653091317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1938813743 to the power of 1\/3, to the nearest integer?\nAnswer: 1247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/272496 and -23\/264?\nAnswer: 2997456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4 = 0, -2*b - c + 3 = 2*c. Let s(i) be the first derivative of 0*i**5 - 1 + 0*i**3 + b*i + 1\/10*i**4 - 1\/10*i**2 - 1\/30*i**6. Factor s(y).\nAnswer: -y*(y - 1)**2*(y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -o + 34. Let i(y) = -y**2 - y + 14. Calculate the lowest common multiple of i(0) and o.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 620 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 119510094523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = 7980*y - 8001*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -0.23633614.\nAnswer: -0.47267228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by -44.\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in 0.4, 2, -6, -1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106838.\nAnswer: 2, 53419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vb when two letters picked without replacement from {b: 1, v: 1, n: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*z**2 + 4545335*z = 0. Calculate z.\nAnswer: -909067, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 7:17 PM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (696\/(-29))\/336*2*-161.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 49686951.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-110)\/(-1325))\/((-4)\/(-15)) and -119\/10.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 13.15. Round l to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17231 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 10. Let p = 0 - -1. Which is bigger: p or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2000\/(-12))\/(2\/15600). Round c to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8275205 and 4084?\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/26*16\/296. Let g = -19589\/10582 + d. Find the common denominator of g and 13*(-2)\/(42 + 2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -476 - -528. Suppose 25*u - x = 21*u. Calculate the remainder when u is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 2. Let m = -0.5 - h. Let j = -0.50006 - m. Round j to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 66*g + 2867. What is the remainder when i(-35) is divided by 536?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151114.\nAnswer: 2, 75557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 2) to base 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6844, 13721, 20636, 27595, 34604?\nAnswer: 41669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 162*m**5 + 151*m**4 - 4*m**3 - 32*m**2 - 4702*m - 3.\nAnswer: 9720*m**2 + 3624*m - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -28303 + 5?\nAnswer: -28287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 3*u + 387, 2*t = 3*u - 8*u - 631. Let i = 129 + u. What is the second derivative of 9*c + 4*c**4 + 1 + 28*c**2 + 2*c**3 - i*c**3 - 25*c**2 wrt c?\nAnswer: 48*c**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -103, -62, 7, 104, 229?\nAnswer: 382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 555655\/740884 - -2\/185221. Factor 0 - z*c**3 - 3\/2*c - 9\/4*c**2.\nAnswer: -3*c*(c + 1)*(c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*w + 3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -190822\nAnswer: 5\/190822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9143960 divided by 113.\nAnswer: 80920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-135)\/(-10)*(-706)\/(-3). Suppose 2*i - f = r, -i - 3*i + 3*f = -6349. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -83, -138, -193?\n\"Answer: -55*u - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 99 and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16436, 32711, 48986, 65261, 81536?\nAnswer: 97811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4536446*p**5 + 6199860*p wrt p?\nAnswer: 90728920*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1342 + 1342.06484. Round x to 3 dps.\nAnswer: 0.065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1623, -4\/9, -3\/5, 2\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2508827*d**5 - 2*d**2 + 605814?\nAnswer: 150529620*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -18*5814\nAnswer: -104652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 486a81 (base 12) in base 11?\nAnswer: 731424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-12)*y\/((y**8*y*y*y)\/y))**45\/((y**6\/y*y**(2\/19))\/(y**(-2\/7))**(-6\/13)) assuming y is positive.\nAnswer: y**(-1642504\/1729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -642 (base 11) in base 10?\nAnswer: -772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1330 and 3150?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*n**2 + 4*n - 163*n**2 - 52*n**2.\nAnswer: -199*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1865 + -127.4. What is y rounded to the nearest 100?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 698 + 1637 + 787 + s. Let c(u) = -2*u. Calculate z(c(d)).\nAnswer: -2*d + 3122","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*n - 7*n - 2040. Let b = 415 + n. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73238 is divided by 815.\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*m**2 - 4736330*m + 4736330*m.\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -n*p*v - 87*n*v - 2*n - 26*p**4*v - 34*p*v wrt p.\nAnswer: -n*v - 104*p**3*v - 34*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3 - 5)*(-5 + 4 - 2 + (2 + 1 - 5)*(-4 + 0 + 3)) - 1 + 0 + 2)*(601 + 40 + g + 593).\nAnswer: 3*g + 3702","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3232 - 22330013?\nAnswer: -22321231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 765165 - 15?\nAnswer: 765150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 7*o**2 + o + 2. Let t(z) = z**2 + 15*z - 1. Let r be t(-15). Let i be y(r). What are the prime factors of i\/44 + 1096\/22?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n**3 - 85*n**2 + 19*n + 283. Determine r(28).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -9 + 37. Is (-1)\/(-5) - t\/10 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -153 divided by 51?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 - 166*w - 340.\nAnswer: 2*(w - 85)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/5)*k)**(2\/21))**(-5\/4) assuming k is positive.\nAnswer: k**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 5:01 AM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence avcg when four letters picked without replacement from gvgaccccacgcgvcgggv.\nAnswer: 49\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*k = -3556 + 11980. Does 4 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001548 rounded to 7 decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -759073198\/844165 - -6\/168833. Let g = -887 - m. Let x = 5589\/4 - 1386. Find the common denominator of g and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4*u**2. Let q(h) = 141767*h. Determine w(q(x)).\nAnswer: 80391529156*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 82*l - 78. Is t(42) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wn when two letters picked without replacement from {w: 2, n: 1, c: 3, m: 1, h: 3, t: 5}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7377, -7375, -7361, -7335?\n\"Answer: 6*m**2 - 16*m - 7367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -y - 4. Suppose -v = -p - y*v + 10, 5*v - 25 = 0. Suppose 5*s + 0*h + 5*h + 5 = p, s + 5*h + 21 = 0. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 32 = -5*k - 18*k + 19*k, 0 = -5*r - 4*k - 13 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -3*c + 2*v, 4*c + c + 3*v = -464 - 460 + 936 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 + 10*v - 8. Let g(k) = -k. Let c(y) = -3*g(y) - r(y). Suppose d - 5 = 0, 3 + 2 = -5*u - 5*d. Calculate c(u).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 521 - -3. What is the hundreds digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4, -7, -10, -13, -16?\n\"Answer: -3*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-6) + 465\/(-9). Let b = t - 43. Let x = -92 - b. Calculate the remainder when 20 is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 5*f - 8. Let l be a(7). Suppose 0 + l = 2*g. Suppose b = -g*b + 60. Is b a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -461, -924, -1387, -1850, -2313, -2776?\nAnswer: -3239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**2 + 18*n**2 - 6*n**2 + 6*n**2 - 6*n**2.\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 698653?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 142116 and 312.\nAnswer: 284232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 3*s - 2. Let o be k(2). Let h be o\/((-3)\/((-6)\/(-4))). Suppose d = -h*d + 4. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9928, 9866, 9850, 9910, 10076, 10378, 10846?\nAnswer: 11510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -124*-3*7\/84. Suppose i*q - 142834 = -3*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 39) + 24 + -1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 8 = 8. Let f be (5\/2)\/((-1)\/(-2)). Solve 0 = x*n + f - 17 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -10. Let f(g) = -g**3 + b*g**2 - g - 2*g + 0*g - 4. What is f(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 5*s + 2. Let j be d(-5). Let k = 767 - 767. Solve 3*z - j*z + 3 = k for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + -1)*(-24 + 21 - -5). Let z(g) = -g**3 - 5*g**2 + 2*g - 7. What is z(j)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 12*r + 39. Let u be y(7). Solve 5*w + u = 3*w + j, -w + j = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31251 - -31256. Solve -9*h + 6*h = -2*v - 7, -5*h = j*v - 20 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*t + 7 = 0. Suppose 113 = 3*c - d - 1583, 5*c - 2828 = 3*d. Suppose t*k - c = 2*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000233614 rounded to seven dps?\nAnswer: 0.0000234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 14*v**2 - 24*v - 40. What are the prime factors of s(-17)?\nAnswer: 2, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.066 - -0.434. Which is the second smallest value? (a) h (b) 34 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 1:02 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 v when two letters picked without replacement from {h: 3, o: 1, v: 1, n: 1, w: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {v: 6, x: 4, c: 5}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 93 and 13485?\nAnswer: 13485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aayfyahyfoahjof. What is prob of picking 1 h and 2 o?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 14220000 rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 58 - 53. Solve -15 + 5 = -n*i, -12 = 4*o - 2*i for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6*(-3)\/18*8. Let o be 0 + 4\/j*8. Solve 4*r = -0*r - 4*w + o, 3*r + 4*w - 1 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(3) + 1)*-5.\nAnswer: 15 + 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(-3)*(-2)\/2. Solve w + 1 - 3 = g for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**2 + 3*b**2 - 6*b**2)*(1 + 0 - 2)*(2 + 3*b**2 - 4*b**2 + 0)*(-271 - 126 - 9).\nAnswer: -406*b**4 + 812*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -11.257289, -2, -5\/4, -0.3?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -11*r - 103. What is w(-8)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/100829 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b + 29. Calculate h(25).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + 4*((-27)\/6 - -4). Let d be 9*(-3)\/(-13) + 3\/(-3). Which is smaller: d or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 21*p - 35. Let t be u(-21). Let o be 40 - (20\/t - 24\/7). Calculate the greatest common factor of 110 and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*o**3 - 13*o**4 - 11*o**4 + 33*o**4 - 8*o**4 - 2 in the form d + j*o + z*o**4 + i*o**3 + f*o**2 and give i.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 15 = 5*l, -2*c + 35 = -5*l + c. Let q = -129 + 109. Sort l, 0.5, q.\nAnswer: q, l, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -375106\/405 or -925?\nAnswer: -925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 21. Let l = -9 - u. Suppose -4*o - 8 = l, -11 = -5*k + 4*o + 42. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, f: 4, o: 2}. Give prob of picking 1 f and 2 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1 + sqrt(5) + 5 + sqrt(5)) + (6*-4*sqrt(605))**2 + 5)*6.\nAnswer: -48*sqrt(5) + 2090814","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 14*g**2 + 44*g - 554. What is the remainder when 446 is divided by m(14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11325013 not equal to 11325006?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.39 + -0.09. Let p = -22.6 - -23. What is the third smallest value in 0, p, t?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 33. Is k a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11844.02868 to one decimal place.\nAnswer: -11844","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, f: 4, g: 1, j: 1, i: 4}. Give prob of picking 2 f and 1 i.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -24692.876282.\nAnswer: -24688.876282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 3:48 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*w = 4*d - 84, 24*w = 2*d + 28*w - 22 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 9*u**2 + 5*u - 1. Let l(v) = 2*v**3 - 18*v**2 + 9*v - 1. Let x(b) = -3*l(b) + 5*z(b). Calculate x(9).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 3*j - 8 = 2*r, 5*r = 5*j + 10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 192*u**6 - 2*u**4 - 4*u**3 + 692*u**2?\nAnswer: 23040*u**3 - 48*u - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 89754355 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70, -117, -164?\nAnswer: -211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 90595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -9\/8, 3\/277, 0.4, 1\/8, 7, -2\/9, 5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z + 2*z - 6 - 2 = 2*a - 10*z, a = 7*z - 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -0.1, -86, -1110 in decreasing order.\nAnswer: 1\/3, -0.1, -86, -1110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 257\/4 + -64. Let u = 8 + -11. Let k = u + 4. What is the third biggest value in k, -0.4, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 42*b - 1681. Let c be x(40). Is c at least as big as 2\/35707?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 565\/80)\/((-23)\/(-92)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 12, -l = 3*s - 967 + 186. Let a = -144 + s. What are the prime factors of a?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1539)*-3 + ((sqrt(114) - ((sqrt(114) + sqrt(114)*-5)*-5 - sqrt(114))) + sqrt(114))\/sqrt(6))**2.\nAnswer: 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-6))\/(8\/48)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.13 and -52737?\nAnswer: 52737.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 125\/36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 1405*c - 173. Let u(p) = -7*p. Calculate l(u(r)).\nAnswer: -9835*r - 173","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 30\/7 (b) -182 (c) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 42\/(-24))\/(5\/(-10))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y - 1. Let c(q) = -19*q + 4. Give 2*c(d) + 11*m(d).\nAnswer: 6*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 550576847 divided by -1?\nAnswer: -550576847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.3 - 3.3. Sort 1, -0.4, b.\nAnswer: -0.4, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6625665756 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 7:44 PM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 7, q: 2}. What is prob of picking 1 q and 3 y?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2886 is divided by 98.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -7*c**3 + c**2\/2 - c + 3. Find the second derivative of o(u) wrt u.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 393 + -181?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24174153.\nAnswer: 3, 17, 52667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(66) - (sqrt(66) + 1*sqrt(66)))*3)\/((sqrt(486)*1 - sqrt(486))*-6 + sqrt(486))*6.\nAnswer: 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -4\/9*l**3 - 4\/3*l**2 + 0 - 3*l - 1\/18*l**4. Factor c(z).\nAnswer: -2*(z + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7110 - 7116. Which is the third biggest value? (a) k (b) -4 (c) 43 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 2 (b) -2\/5 (c) -1832\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1680)\/1400)\/(((-4)\/(-60))\/((-10)\/9)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21337 less than 21449?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -548, -1083, -1604, -2111?\nAnswer: -2604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 6*w - 3. Let x be p(5). Suppose -2*c - x*z = -6, -3*c + 25 = -2*z - 3*z. Suppose c*k - 3*k = 46. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 483 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**5*t**(4\/9))\/(t*t**(-1)\/t*t*t)**35)\/((t**(-2\/3))**(-21)\/(t**(-1)\/t)**(12\/5)) assuming t is positive.\nAnswer: t**(-2176\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j + 8 - 4 + 6 + 4. Let w(r) = r**2 - 8*r + 1. Let t be w(6). Let h be v(t). Solve 0 = -3*y - 5*c + c - 12, -5*c = -h*y + 15 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 9}. Give prob of picking 3 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -11 - ((-48910)\/1)\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -3*j - 27 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26*b**2\/7 - 38128*b\/7 + 2610528\/7.\nAnswer: -2*(b + 1532)*(13*b - 852)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 9 + (4 + -2 - 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 31\/2 of a tonne?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w + 16. Let l = 1944 - 1932. Calculate k(l).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v - v + 35 = -37 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15.5 - -15. Let j = -0.225 - -0.425. What is the closest to j in 1, -3\/4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32504426.\nAnswer: 2, 37, 101, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t - 7. What is f(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -4*u - 18, -5*u - 9 - 9 = -4*q for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1319bde - -1?\nAnswer: -1319bdd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/((-12)\/(-9)) - -1. Suppose i*z + 4 = -0. Let j(v) = 2*v**2 + 1. Let l be j(z). Solve -m - 8 = -l*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -851.75 * -3\nAnswer: 2555.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 153 + -154. Let w = 113\/78 + -21\/13. What is the nearest to 1 in w, -0.3, b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1326\/60 + (5 - 27)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -67 in 0.9, -3\/8, -0.1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 7*y - 9. Let m be f(3). Suppose 5*h = -2*k + 101, -h + 0*h = m*k - 28. Calculate the remainder when h is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1047 + 1441 + 2161*r + 94 - 828*r wrt r?\nAnswer: 1333","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0017 and 0.5.\nAnswer: -0.00085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rx when two letters picked without replacement from eoueeoettrtxoxxete.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 + 238 - 3*g**2 + 41.\nAnswer: -g**2 + 279","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/6 - (2 + -2).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 - 19394.\nAnswer: -19384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-320)*496*2?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19309*s + 6411*s - 3009240 = 0 for s.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1527487084.\nAnswer: 2, 11261, 33911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14676567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 5*f - 1 = 0, 2*f = 6*t - 7*t + 7 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2734392.\nAnswer: 2, 3, 113933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.152496 litres in millilitres?\nAnswer: 152.496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/2)\/(f*(f**(1\/14)*f)\/f))\/((f*f**(-1))\/f)**(-9) assuming f is positive.\nAnswer: f**(-74\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -0.4, 0.2, 1\/6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.54 times 524829\nAnswer: -283407.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 6*t - 11 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -l**3\/3 - l. Let p(q) = q - 3*q + 2*q + q. Determine p(x(k)).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1602.7 + 1602.2. Let g = -0.3 - -0.5. What is the second smallest value in w, 2, -1\/3, g?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-26\/7)\/y)\/(y\/((y\/((y\/((y*y*y**(-39)*y*y)\/y))\/y))\/y)) assuming y is positive.\nAnswer: y**(-292\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 4)*(-3*r**2 + r**2 + r**2) - 1716*r**2 + 4916*r**2 + 83*r**2 + 0*r**2 + r**2 + 0*r**2 + (3 - 4 + 2)*(-3*r**2 - r**2 + 2*r**2).\nAnswer: 3283*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nkk when three letters picked without replacement from nkknkkkkkkkkk.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 12:27 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 17939374.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 67*a**2*i**3 + 5*a**2*i - 10*a**2 + a*i - 6*i**3 wrt i?\nAnswer: 402*a**2*i - 36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/4320 and 31\/3780144?\nAnswer: 113404320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3114.\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4 = -5*y + 3, -3*y - 27 = -5*x. Suppose -i - 1 = 5*f, -5*i + 2*f = -x*i + 5. Solve 3*m - i = 6 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -278319 or -278320?\nAnswer: -278319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t + 35 + 3*t - 41 + 7*t**2 - 7*t**3. Let h = 16 + -10. Let w be i(h). Round w to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/19*p**2 - 6*p + 236\/19 = 0 for p.\nAnswer: -59, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - 1 - 18 - -3. Let x be h\/((-1)\/2*2). Suppose -x*f = -5*f. Solve 3*w - w = f for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/5 and 7\/2172?\nAnswer: 10860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -225 + 227. Suppose 2*z - 4*z = -5*n + 26, -t*z - 22 = -4*n. Solve s = 4*l - 2 - 7, -12 = -n*l for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 0.158.\nAnswer: -0.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 9*c**2 + 338*c - 574. Give j(-39).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of q**5\/30 - 3*q**4\/4 + 42*q**2 + 2*q. Let o(i) = 0. Calculate i.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a decade in months?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8972 is divided by 163?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 6*t - 1. Let o be z(6). Let h be (o\/3)\/(4\/(-12)). Which is greater: -3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 292.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -5*m**3\/3 + 15*m**2\/2 - 24. Factor c(a).\nAnswer: -5*a*(a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 168 and 438172.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 37*a**2 + 37*a - 40. Suppose 51*x - 52*x - 38 = -4*n, -x - 38 = 2*n. Give t(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -4*f + 2*h + 4, 0 = -4*f + 5*h + 1 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 17*y**2 + 15*y - 20. Give j(16).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppp when four letters picked without replacement from {o: 5, p: 15}.\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33400 is divided by 263?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 4*y**2 - y + 1. Let n be x(-4). Suppose -4 = 4*h - 5*h, 5*k + 165 = n*h. Is -30 > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 12a?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46355?\nAnswer: 5, 73, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1011023253.\nAnswer: 3, 337, 333341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-14))\/(-6) + (-396)\/63?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {n: 6, v: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -53 and 6574478?\nAnswer: 6574531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71344 is divided by 1488?\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 4*d**2 - 2*d + 7. Let y = -6 + 1. Let j be f(y). Suppose 5*u + 3*r = 43 - 4, 0 = 4*u - 3*r - j. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, f: 1, j: 2, b: 3, q: 1}. Give prob of picking 1 l and 1 j.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 33, 68, 105, 138, 161?\nAnswer: 168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bmft when four letters picked without replacement from mbxft?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.03 - -1.93. Let d = 3.98 + 0.02. What is the closest to r in d, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*u + 10265 = -109. Solve 3*z = -91 + u for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4595380, 9190688, 13785992, 18381292?\nAnswer: 22976588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1189*s**2 + 165*s**2 + 1377*s**2 + 3550*s**2.\nAnswer: 6281*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 5*k**3 + 5*k**2 - 4*k + 2. Let i(g) be the second derivative of g**5\/4 + g**4\/2 - 5*g**3\/6 + g**2 - 207*g. Determine -5*i(n) + 6*p(n).\nAnswer: 5*n**3 + n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/120015 and 167\/3990.\nAnswer: 4560570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.1 + 0. Let y = 0.1 - s. Suppose 4*m = -6*x + 4*x + 18, 5*m - 27 = -4*x. Are y and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 116. Let i = 111 - h. Which is the third smallest value? (a) 15 (b) -0.2 (c) i (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7826665 divided by 7711\nAnswer: -1015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22038*u**3 + 11040*u**3 + 10999*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0081 + -48.0919. Let y = -2079 - -2128. Let m = i + y. Which is the nearest to m? (a) -2 (b) 2 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 - 27. Suppose 2*y - 27*o + 8 = -32*o, 3*o = y - 40. Solve 4*k - v = 4*b, -3*k + 5*b = k - y for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 b, and 1 p when three letters picked without replacement from {r: 6, p: 4, b: 2, l: 3}?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 a when four letters picked without replacement from {a: 3, j: 3, n: 1, b: 5, h: 1}?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 300?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 q when two letters picked without replacement from vdgrqvl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 23?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 times -3\nAnswer: 0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ix when two letters picked without replacement from {t: 1, x: 1, f: 1, b: 1, i: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -749 + 420. Let b = v + 570. Suppose -4*f = -b - 19. Is 17 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2554989*z + 873394 wrt z?\nAnswer: -2554989","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 3, 0, -9 in decreasing order.\nAnswer: 3, 1, 0, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/20920 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 431366 to the power of 1\/2, to the nearest integer?\nAnswer: 657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8 + 6)*(1\/2 + 0)*0. Solve 12 = -6*l + 2*l - g, -3*g + 12 = v for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -71*p**3 - p**2 - 4*p + 5. Let l be a(2). Let d be 1225\/l - (1*-3 - -1). Which is smaller: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 8*b - 12. Let a be z(-6). Solve a = -5*c - t - 24, -4 + 17 = -3*c - 2*t for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105.88846 + 1028519.21?\nAnswer: 1028625.09846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 210 = -2*m, -2*m + 39*a - 41*a = -190. Suppose -b + 52 = p, -p - 120 = -3*b + 28. What is the remainder when m is divided by b?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 185 + -180. What is the remainder when 68 is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8052768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7920562 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -10. Suppose 3 = -4*c - k. Let q be c*(-7 - -1)\/2. Solve -4*v = -7 + q for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 - 13 - 17 - 6 + 3*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -44 - 421bb?\nAnswer: -421ff","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1 + sqrt(1539) + sqrt(1539) + sqrt(1539) + 3) + -3)**2.\nAnswer: 8748*sqrt(19) + 499365","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 4932837?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + 0 + 5 - (-27 - 11).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 298893, 298886, 298881, 298884, 298901, 298938, 299001, 299096?\n\"Answer: f**3 - 5*f**2 + f + 298896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -1010*o**3 - 8*o**2 + 3*o - 5. Let u(q) = -3026*q**3 - 22*q**2 + 8*q - 14. Calculate -14*d(s) + 5*u(s).\nAnswer: -990*s**3 + 2*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3 + 2022*g**2\/7 + 5940*g\/7.\nAnswer: 2*g*(g + 3)*(7*g + 990)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 2 - (1 + -4)) + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 52*o**2 + o + 5. Let l be n(7). Suppose 0 = -39*b + 44*b - l. Does 42 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-890)\/(-4)*(3 + (8 - 9)). Let t = a - 4034\/9. What is the common denominator of -67\/12 and t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21 - 602206?\nAnswer: -602155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 e when four letters picked without replacement from yyyyyyyyyeyyy.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -718 + 928 = 15*w. Suppose -4*j + m = 7, 0 = -j - 2*m + 1 + 4. Let n = w - j. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1685598*k**2*o**2 + 16*k**2*o - 9*k**2 + 38*o - 8 wrt o.\nAnswer: 3371196*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 20179536?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9081 greater than 9078?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8021 is divided by 136.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a century in years?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 68368 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 1\/2*l**5 - 23\/2*l**4 + 111\/2*l**3 - 157\/2*l**2 + 34*l + 0 = 0.\nAnswer: 0, 1, 4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2 + 1081208*j + 73063171204.\nAnswer: 4*(j + 135151)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 3*o**2 + 0*o**2 + 0*o**2. Let y(h) = -h**2. Suppose c - 4*c - t + 14 = 0, -t = 1. Suppose 0 = 2*w - c*w - 33. What is w*y(m) + 6*a(m)?\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31009 - 71073 - 172354 + 36250*l - 183359 + 2*l**3 - 520*l**2 + 83277 = 0.\nAnswer: 10, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -4*f**2 + 3*f**2 + 0*f**2. Let o(s) = -433*s - 422*s + 828*s. Calculate o(y(u)).\nAnswer: 27*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(594\/(-12)))\/(1\/(-3)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n + 15, 4*c - 3342 + 6644 = n + 3333 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 3824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 93923981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 10 = -6. Let i(y) = 7*y**2 - 3*y - 2. Let h be i(k). Suppose 0 = 5*w - 0*w - h. Which is the third smallest value? (a) -2 (b) 1 (c) w (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/158118 and 127\/8664.\nAnswer: 632472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132551 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 18568, 36905, 55242, 73579, 91916, 110253?\n\"Answer: 18337*d + 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 6 = -2. Let t be p\/(-8) - 54\/(-24). What is the greatest common factor of t and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82\/4*(-2630)\/1315 - (0 + 5 - 1).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**4 - 2*n**2 - 2*n**4 + 117 - 120 to the form o*n**2 + p*n + u*n**3 + c*n**4 + z and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xkkb when four letters picked without replacement from {b: 2, f: 4, x: 1, k: 5, h: 5, y: 3}?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - ((64 - 71) + 9).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22471 (base 9) in base 3?\nAnswer: 202112101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 123132 and 558?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76*r + 73*r + 4 - 2)*(22 - 1 + 3)*(-1 + 1 - 2).\nAnswer: 144*r - 96","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 718260?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*r = -16, -3*r = -n + 3*n + 2. Let v be (6 - 0) + -2 + n. Suppose -v*k = -9 - 3. Solve 2*h - 3*s + 5*s = -k, 5*h = -2*s - 11 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10020.67 rounded to the nearest 10?\nAnswer: -10020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13)*-4 + -3 + (sqrt(13) - (sqrt(13) - (-2*sqrt(117) + sqrt(13)))))**2.\nAnswer: 54*sqrt(13) + 1062","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 811\/199235 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 51 - 29. Let b be a*(-4 - (-28)\/10). Let x be ((-28)\/b)\/(2\/4). Which is smaller: x or 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-114)\/28)\/(-3)*230\/(-13110)*-114?\nAnswer: 19\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cb when two letters picked without replacement from {v: 3, c: 4, q: 1, b: 1, k: 6, s: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q**(-21\/2)*q)*q*q**(-1\/5)*q*q**(23\/2)*q**(-1\/2) assuming q is positive.\nAnswer: q**(233\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 235034, 235124, 235208, 235280, 235334?\nAnswer: 235364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-1960)\/104 - (-22)\/(-143)) + -10 + 11\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1))**(10\/17)\/(a**(1\/6)*a\/((a*a**(-5))\/a)) assuming a is positive.\nAnswer: a**(-689\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2947 - 10?\nAnswer: -2957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-94 - -83) + 6 + 4 + 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 73, -8, 5\/3, 7, -2\/19, -17, 0.2?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.36 + -920.64. Let x = 917.91 + l. Round x to one dp.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 13*c**2 - 13*c - 8. Calculate the remainder when 11 is divided by u(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13.49 + 9.49. Let o = 4 - 14. Let t = -10 - o. What is the nearest to t in j, 3\/2, -3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 0.5. Let t = b + -0.7. What is the second smallest value in -1\/6, t, 1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 4. Let n be w(0). Suppose 4*t = 2*g + 6, t + n*t = 4*g + 3. Let r be ((-1)\/2)\/(1\/(-24) - 0). Solve 5*o = -3*x - 24, -3 = -t*o - r for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 663000 = d. Suppose -d = -2*o + o. What is o rounded to the nearest ten thousand?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1022, 2044, 3066, 4088?\nAnswer: 5110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, 45, 133, 259?\nAnswer: 423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 156*p - 153*p = -40148, 0 = -2*o - 3*p + 20074. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3*(sqrt(13)*-2 + -5 + 5 + sqrt(117))**2 - -3*((0 + sqrt(13)*-1)*3)**2).\nAnswer: 1170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 76411?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18021*q**2 - 50030*q + 1?\nAnswer: -36042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -244*s - 202*s - 250*s - 196*s + 989*s. Let f(o) = -39*o**2. What is f(q(k))?\nAnswer: -366951*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in nine tenths of a tonne?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1540 divided by 2?\nAnswer: -770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*b**2*n - b**2 - 149*b*n - 8*b + 624314*n wrt b.\nAnswer: 6*b*n - 2*b - 149*n - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 23. Let r be g\/(3\/(-4 + -2)). Solve s = -4*s - r for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 32292?\nAnswer: 161460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -51.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -501\/34045?\nAnswer: -501\/34045","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.2281 to two dps.\nAnswer: 1.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 18. Let t be 26\/7 + d\/28. Let i be (-24)\/(-24)*0\/(-2 + 3). Solve t*p - 12 - 4 = i for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6168 - -6181. Sort -3, 1.3, n.\nAnswer: -3, 1.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cm when two letters picked without replacement from memeccmccmmmmcmmmmmm.\nAnswer: 13\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 57126492 and 1057898.\nAnswer: 57126492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-58 + 4*n + 58)*(-n**2 + 14 - 1 - 6).\nAnswer: -4*n**3 + 28*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 3 = m + p, -3*m + 46 = 4*p. Suppose 0 = 5*w - 5 + 50. Let n be w\/21*m\/(-4). Which is the second smallest value? (a) 0.1 (b) n (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7831473.885 rounded to the nearest 100?\nAnswer: -7831500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -4*l - 1947, 4*l + d + 1255 = -694. Let i = -415 - l. What is the smallest common multiple of i and 3?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.1 - -2. Let n = 0.3 + u. Let r = 0.8000144 + n. What is r rounded to 6 dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (3 + -1) - 0?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 5 + 6 + (45 - 1) + -8.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -q**5\/35 + q**4\/28 + 2*q**3\/21 + 506. Factor f(y).\nAnswer: -y**2*(y - 2)*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 431 - 404.9. Let m = g - 26.100214. Round m to five dps.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 66 - -2a06?\nAnswer: 2a71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-4 - (-76)\/16). Suppose 0 = -3*s - w + 38, 2*w + 54 = o*s - 0*w. What is the derivative of -17*i + s*i + 4 - 1 wrt i?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001694932 to six dps.\nAnswer: 0.000169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*b**2 + 2 - 2 + 4*b.\nAnswer: 60*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87202 is divided by 1895.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 17, t: 3}. What is prob of picking 1 m and 2 t?\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = n - 2*n. Suppose n = 5*p - 718. What is the highest common factor of 19 and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + b + 2*b)*(3*b - 3*b + 2*b) + (-2 - 3 + 4)*(-b + b + 2*b**2) - 5*b**2 - b**2 + 4*b**2 - 327 + 327 + 233*b**2 + (-7 - 4 + 2)*(-1 - b**2 + 1).\nAnswer: 240*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18 * -5251.\nAnswer: -94518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1353150 and 306?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.20573993 and 6.1.\nAnswer: 1.255013573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5917 and 366?\nAnswer: 35502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -49*v**3 + 3*v**2 + 64. Let s(b) = -98*b**3 - 6320*b**2 + 0*b + 130 + 0*b + 6327*b**2. Let c(z) = -7*f(z) + 3*s(z). Differentiate c(l) wrt l.\nAnswer: 147*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 14 = 5. Let n = c + 4. Let h = 50 + -47. Calculate the remainder when h is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 c when four letters picked without replacement from mnmmmicccmmmmcmcccci.\nAnswer: 336\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 102428355 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: Let p(c) = -7*c**2 + 4*c + 83. Let s(b) = -41*b**2 + 19*b + 414. Determine 19*p(v) - 4*s(v).\nAnswer: 31*v**2 - 79","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 5*p**2 + p. Let x be t(-1). Suppose 2*a = -x*c + 9 + 5, 4*a = 5*c + 2. Is -3*(-1)\/a*19 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 377095?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-123362*w + 61681*w + 61683*w - 373)*(2 + 3 - 4) as m*w + l and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 373 and 3140?\nAnswer: 1171220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1533112 + -256?\nAnswer: 1532523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 657763 - z**2 - 30*z**2 - 657760 + 62*z**2 - 18*z**2.\nAnswer: 13*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -143 + q**3 + 291 + 2*q - 2*q**2 - 148 in the form u*q**2 + l*q**3 + v + o*q and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**2 + 4*f**2 + 882 - 874.\nAnswer: 6*f**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 3. Let r = -342\/11 - -31. Which is the closest to 0.1? (a) r (b) -5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/2 - -8)*-1. Let t(u) = -3*u - 3. Let x be ((-6)\/(-9))\/(3\/(-9)). Let n(v) = -v**2 + 13*v + 13. Determine j*t(f) + x*n(f).\nAnswer: 2*f**2 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -142157320 by -229286.\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2821.\nAnswer: 7, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k + 1. Suppose 0 = -3*f - 119 + 383. Let m = -88 + f. Give t(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - (-5 + -1)) + 0. Let t = 11 - f. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-1*sqrt(288))\/sqrt(12)*5)\/(sqrt(16)\/sqrt(2)*3*-6) + 4.\nAnswer: 5*sqrt(3)\/18 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 9*n - 5. Determine r(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/162 and 143\/6.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 197, 479, 949, 1607, 2453, 3487?\nAnswer: 4709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -186325*u + 229. Let p be r(-17). Let d = 24657754 - p. What is d rounded to the nearest one million?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -i**6\/30 + i**5\/5 - 3*i**4\/8 + i**3\/3 - i**2 + 3*i. Let d(h) be the first derivative of r(h). Factor d(w).\nAnswer: -(w - 2)*(2*w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301*u = 308*u - 35 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 8:34 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 3*p = 35, 6*p - 2*p + 40 = 5*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 15) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -26. Suppose -2*r + q = 7. Let o(s) = s**3 - 6*s**2 - 3*s + 9. What is o(r)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2300*n**2 - 2*n + 2. Let f be a(1). Let g be (-2 + f\/1152)*-938. Let b = -277\/36 + g. Calculate the common denominator of 45\/2 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 3 + 1 - 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 + w**2 - 4*w**2)*(-2*w - 2*w + 9*w) + w**3 - 3*w**3 + w**3.\nAnswer: -11*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/6 + -1 + (-486574)\/(-561) is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 600.3077m?\nAnswer: 600307700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 1\/8 (b) -15 (c) -2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -134 - -131. Let w be ((-1)\/2)\/(4 + 54\/(-12)). Calculate the remainder when 79 is divided by (-27)\/c + w + -1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 71*y - 29. Let h(v) = 71*v - 30. Let l(k) = -5*h(k) + 4*n(k). Find the first derivative of l(q) wrt q.\nAnswer: -71","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 90 = -2*j. Suppose -2*b + 5*v + j = 0, -b + 16 = 4*v - 7*v. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (144812\/(-883))\/(2*2)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 12:06 AM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 466 divide 572158528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -415*h = -72*y - 419*h + 356, -4*h = 3*y - 4 - 7 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/1607 (b) 1 (c) 0.1 (d) 5648\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.6 + -0.1. Let i = 5.7 + h. Let d = i - 0. Sort 2, d, 0.4 in increasing order.\nAnswer: 0.4, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 3226*b - 2. Let m(q) = q. What is i(m(c))?\nAnswer: c**2 - 3226*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 10 + 12 = 0. Let k(w) = -w**3 - 3*w**2 + 9*w - 1. Let t be k(-5). Put n, t, -1 in decreasing order.\nAnswer: t, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 263*a - 823*a**2 + 1 + 28*a + 821*a**2 in the form l*a**2 + z*a + s and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56 + -8. Suppose 5*t + 2*b - 18 - g = 0, 0 = -4*t + 4*b + 36. Let n = -5 + 12. Calculate the remainder when t is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, u: 2, k: 8, n: 3, z: 1, q: 1}. Give prob of picking 1 q and 1 n.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 89899838.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1429757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12440 = 2*c - h + 3*h, 5*h = -2*c + 12437. Suppose c = 20*d - 759. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149.278 rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-8)*b)\/(b**(-3\/5)\/b))**(2\/17) assuming b is positive.\nAnswer: b**(-54\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.46 + -2.03. Let w = 1.4 + p. Round w to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/10*(-1085)\/2604.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 + 3078*t + 2368521.\nAnswer: (t + 1539)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 5*p - 18. Calculate n(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 100739862 by -3726.\nAnswer: -27037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (730\/4745)\/(1\/(-2)).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.029 - 0.089. Let w = -0.902 + n. What is w rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4856863, 4856838, 4856799, 4856740, 4856655, 4856538?\n\"Answer: -x**3 - x**2 - 15*x + 4856880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18949 is divided by 18942?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (72\/15 - 4)\/(7\/210). Suppose 0 = c + 13 - y. Solve c*j - 2*j = 36 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/23000953 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + (-129)\/(-15))*5. Let c = 15 - p. Let l = c - -37. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14960 = 1859*f - 174*f - 189*f for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -86953 smaller than -86953?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 18*z - 4. Let y be q(8). Calculate the highest common divisor of 19 and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v + 1. Let r = 89 + -89. Give t(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -17*p + 18*p. Let k = 38 + p. Which is smaller: 3.5 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 623357 is divided by 640?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + f = -675, t = 5*t - 5*f - 561. Let g = t - 134. Let x be (-6)\/12 + g - (-132199)\/(-2). What is x rounded to the nearest one thousand?\nAnswer: -66000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 145507729*i**3 + 182232568*i?\nAnswer: 873046374*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 84024, 83686, 82758, 80946, 77956?\n\"Answer: -49*p**3 - p**2 + 8*p + 84066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -474*z**3 + 516*z**2 + 4*z. Let c(v) = -18011*v**3 + 19607*v**2 + 154*v. Let a(y) = 2*c(y) - 77*f(y). Find the third derivative of a(o) wrt o.\nAnswer: 2856","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/((-4)\/(-5))*8\/4. Let m = 17 - 17. Put -3, m, p in ascending order.\nAnswer: -3, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -61e2ab?\nAnswer: -61e2a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2920, 4, 7 in descending order.\nAnswer: 2920, 7, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of 0*b**2 + 0*b**3 - 10*b + 1\/9*b**4 + 0 + 9\/10*b**6 - 3\/5*b**5. Determine z so that m(z) = 0.\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5731853 + 5731853 - 4*y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (2 + (6*(sqrt(1573) - (0 + sqrt(1573))) + sqrt(1573) + 1*sqrt(1573)*4 - (sqrt(1573) - 2*sqrt(1573)*-1 - 5*sqrt(1573)*-2)))*4)**2.\nAnswer: -2112*sqrt(13) + 1610761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) -3 (c) 251 (d) -1\/69\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x - 42. Let d be q(-24). Suppose -4*l = -6 - d. Solve 0 = -3*p - 4*g + 23, l*p - 5*g = -0*g - 22 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/10 + 1\/5. Let w = -0.49 - -0.69. What is the closest to -7 in 0.1, h, w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15239669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -9, -2, -3\/2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5059, 10201, 15339, 20473, 25603, 30729, 35851?\nAnswer: 40969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a tonne in kilograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 6*h. Suppose h = -0*w - 3*w + 6. Suppose -2*c = -i - w, 0*i + 20 = 2*i + 2*c. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*n + 4422 = -16*n. Let s = n + -161. Is 39 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i + 4*i - 4*i)*(2*i**3 + 2 - 2) + (0 + 3 - 6)*(i**4 + i**2 + 0*i**4 - 3*i**4) to the form k + t*i + a*i**3 + d*i**4 + n*i**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5318515?\nAnswer: 5, 31, 34313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*n**3 + 174*n**2 + 16*n - 14*n - 160*n**2 + 17.\nAnswer: 21*n**3 + 14*n**2 + 2*n + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 2*p + 75 = 0, -4*t + 2*p = 26735 - 26783 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58676 is divided by 191.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: 432755 (base 12) to base 9\nAnswer: 1887782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1074, -2145, -3230, -4335, -5466, -6629?\n\"Answer: -x**3 - x**2 - 1061*x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*z - 18*z + 10*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -309 divided by -103.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 9909 divided by -219\nAnswer: -3303\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -10*(-6)\/(1 + 2). Let f = q - 15. Calculate the highest common factor of f and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 4, 82, -0.5 in decreasing order.\nAnswer: 82, 4, -0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/4 in 0.7, 1, 14.6, 2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u - 299. Give z(12).\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2205253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -47*q**2 + 4*q. Let m(x) = -47*x**2 + 3*x. Determine -3*g(z) + 4*m(z).\nAnswer: -47*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i*o**2*v**2 - 105*i*o**2*v - 2*i*v**2 - 16*i*v - 4*v**2 wrt o.\nAnswer: 4*i*o*v**2 - 210*i*o*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 + 8*n**4 + 7 + (0*n**2 - n**2 - 2*n**2)*(-2*n**2 - 2*n + 2*n) - 2*n**3 + 2*n**3 - 2*n**4.\nAnswer: 12*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 96261026 to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.048 - 1.058. Which is the nearest to x? (a) 1 (b) 0.5 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/33*-1*1001\/(112\/16)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -4. Let v(u) = u**2 - 1. Let y(p) = p**3 - 11*p**2 + 2*p - 3. Let b(r) = 4*v(r) + y(r). What is the units digit of b(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4297860*z**4 - 3*z - 1189790.\nAnswer: 51574320*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/4))**(2\/15)*o\/(o\/o**(-16)*o)*o*o\/(o*o\/o**8) assuming o is positive.\nAnswer: o**(-89\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 - 1650*x + 59787.\nAnswer: 3*(x - 511)*(x - 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5985.\nAnswer: 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 9:02 AM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*o, 3*o + 2*o = -4*u - 5. Let w = 3 + 0. Suppose w*r - 2*r = 2. Solve -2*i + s = -5, -u*i = -r*i - 5*s + 3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 106*g - 107*g + 22. Let u be (-68)\/(-6) + 3\/(-9). What is the greatest common divisor of u and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/3)\/(695\/(-17514))?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -17.2974 and -5?\nAnswer: 12.2974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -45*k**3 + 13*k**2 - 40*k - 536. Let q(p) = -11*p**3 + 3*p**2 - 9*p - 134. What is -2*h(n) + 9*q(n)?\nAnswer: -9*n**3 + n**2 - n - 134","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 759025 is divided by 3617?\nAnswer: 3072","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1*6*(-5 + -1 + sqrt(17) + (0 + sqrt(68) - sqrt(17)))*6*4)**2 + -3.\nAnswer: -497664*sqrt(17) + 2156540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 181, -10, -12, -5, 2, -4 in descending order.\nAnswer: 181, 2, -3, -4, -5, -10, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1146\/65 - 302\/13. Is -7 at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 + 120\/(-21))*(-2 - (-36)\/15)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**3 + 23. What is the remainder when 42 is divided by x(0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 38 = -13. Suppose 51 = -4*k + 4*u + 411, -2*k = -d*u - 192. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**(-2\/21))**(-24)*(k\/k**(1\/55))\/k*k\/(k\/k**9) assuming k is positive.\nAnswer: k**(-15902\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -401075 (base 9) to base 8\nAnswer: -716701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 31 + 11bb?\nAnswer: 120c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -5 (c) 4 (d) 4\/3 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 14 - 16*g.\nAnswer: -16*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(249\/81 + -3). Suppose -4*z = -2 + u. Let p = z + 14. Are 1 and p nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23086758 and 14?\nAnswer: 161607306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 9:34 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 770999949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 9. Let k = m - 13. Put 2\/15, -1\/9, k in descending order.\nAnswer: 2\/15, -1\/9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 minus 207.37499044368?\nAnswer: -206.77499044368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 81, 1, -4, 2, -5, 10085, 3 in decreasing order.\nAnswer: 10085, 81, 3, 2, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 373 + -372.9. Let f = -54 + 32. Which is smaller: z or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3484\/3885 - 36\/37. Find the common denominator of t and 37\/574.\nAnswer: 8610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 120 + -81. Does 15 divide 1\/(-3) - (-1183)\/w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3100011420.\nAnswer: 2, 3, 5, 11, 4696987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -a + 12*a. Solve 2*d + 2 = 5*y - 2*y, a*d = 3*y for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04355 less than 0.185122?\nAnswer: 0.228672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5 + -0.6. What is the nearest to x in 0, -2, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**5 - 4*g**4 - 28*g**3 - 16*g**2 + 26*g + 20 = 0. What is g?\nAnswer: -2, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 2, -592, -2, -5 in descending order.\nAnswer: 24, 2, -2, -5, -592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -101 + 37 - 4*k**3 + 36 + 29 - 5*k**2 - k to y + d*k**3 + n*k + t*k**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 309864619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9)\/((-81)\/(-48)))\/(2\/(-19)). Let m = y - 148\/3. Which is greater: m or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1436133*g**5 - 1585376*g**2?\nAnswer: 86167980*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.770383 centimeters in nanometers?\nAnswer: 97703830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of q**5\/90 + 7*q**4\/27 - 304*q**3\/9 + 93*q + 11. Find g such that f(g) = 0.\nAnswer: -38, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -11. Let t = 3 + -6. Let a(c) = -c**2 + 3. Let v(g) = -1 - 1 + 6 - 2. What is m*a(o) + t*v(o)?\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**6\/20 - a**4\/4 + 4*a**2. What is the second derivative of g(l) wrt l?\nAnswer: 36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4*c + 24, 3*c - 105 + 123 = -2*w. Put -8, 5, -5, w, 2 in decreasing order.\nAnswer: 5, 2, w, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 1 (c) 3 (d) 1.1 (e) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*y + 9 = 3*q - 34*y, -5*y = -q - 27 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4910*o**3 - o**2 + 265*o - 369180543.\nAnswer: -14730*o**2 - 2*o + 265","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.2 (b) -9\/5 (c) -0.2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2*(36\/32)\/(-9)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 115, -2, 1, -2\/623, 0.39?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 2*b + 1. Let w be g(-2). Suppose 2*l - 4 = 0, -3*d - l - 13 = -33. Suppose -15 = -4*y - 7. Solve -w*j - d = -y*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1110223 + -1220320?\nAnswer: -2331203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17989142 divided by 218.\nAnswer: 82519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255210 + 11408 = 10*u - 155782. Calculate the highest common factor of u and 176.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21870*a*s + 603*s wrt a?\nAnswer: 21870*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/15 in -39, 1.2, 2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2 + 0 - (-4 - (112 - 0))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*t - 7*t, -4*q = 5*t - 10. Suppose -5*w = -5*u + 105, 2*u - 4*w - 27 = 11. Does 5 divide (-22 + u)*q\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/12 and (-10575)\/(-5550)*(3\/(-2) + (-332)\/(-216)).\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*f**4\/7 - 10*f**3\/7 + 2*f**2\/7.\nAnswer: 2*f**2*(f - 1)*(4*f - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**8\/(k**0\/k) assuming k is positive.\nAnswer: k**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-2 - -1) - (28 + -46 + 24).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -454\/9 equal to -3\/142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 1290*h = -1289*h - 5, -2*h = 8*u + 3*u - 16 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 1.2, 8, -5, 0.02, -1.\nAnswer: -13, -5, -1, 0.02, 1.2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(24\/140*(-30)\/(-12))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, j: 1, g: 1, v: 2}. Give prob of sequence nv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m**2 + 7*m**2 - 2*m**2 - 3*m**2 - 2*m**2.\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1809500 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -444?\nAnswer: -442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-138)\/(-30) + 2\/5. Solve m - g*p + 25 = -4*m, 5*m - p + 17 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(sqrt(8)*1) - sqrt(132)\/(sqrt(12) + sqrt(36)\/sqrt(3)).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 713*j - 858 = 702*j. Calculate the highest common divisor of 2418 and j.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15130 and -4.\nAnswer: -60520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5737\/120 or 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 13, 38, 71, 106, 137, 158, 163, 146?\n\"Answer: -y**3 + 10*y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2157 + 2*u**3 + 0*u**3 - 1398 - 3*u**2 + 5*u**2 as i*u + r*u**2 + b + c*u**3 and give b.\nAnswer: 759","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 25 = 4*u. Let r = 28\/99 + -2\/33. Which is the smallest value? (a) r (b) u (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8634088?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 divided by 20?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*f + 94*f + 143 = 0. Which is the closest to -0.1? (a) 0.2 (b) f (c) -2\/9 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19.619 - 19.6190013892. What is i rounded to 7 decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*((-5)\/(-10))\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/4)\/((330\/5800)\/(-11)). Let n = a - 263. What is the smallest common multiple of 42 and n?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 1\/1980*k**6 + 0*k**2 + 16*k + k**3 - 1\/110*k**5 + 0 + 3\/44*k**4. Let q(m) be the second derivative of d(m). Factor q(t).\nAnswer: 2*(t - 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3661314 (base 7) in base 9?\nAnswer: 783833","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of f**4\/2 + f**3\/3 - f**2\/2 + f. Let i(w) = -4*w + 37. Let y be i(9). Is q(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -407\/700 + 1\/100. Let z = 2.3 + -0.3. Let w = -1.8 + z. Sort a, 1, w in decreasing order.\nAnswer: 1, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000609 to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t - t - 2*t + 1 - 5*t + t**3 in the form m*t**2 + k*t**3 + u + r*t and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-6 + 3 + 6 - 7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/5)\/(9\/5*(-2328)\/5238). Factor -1\/4*a**3 + 3\/4*a + 0*a**2 + k.\nAnswer: -(a - 2)*(a + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 2*c + 3. Let r be w(-3). Let o(i) = -2 + r + 9*i - i**2 - 3 - i. Let l(f) = f**3 - 28*f**2 + 26*f + 34. Let t be l(27). Calculate o(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffff when four letters picked without replacement from ffffffffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 10 = -5*k, -3 = -2*k + h + 1. Let g(a) = a + a**k - a + a**2. Let v(x) = -5*x**2. Calculate g(v(u)).\nAnswer: 50*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**5)\/o**(10\/7))**(-42) assuming o is positive.\nAnswer: o**228","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*t - 1234561 = 42767. Does 69 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2)*f**(-3))\/(f\/(f\/(f*f**(2\/3))*f))**35 assuming f is positive.\nAnswer: f**(-85\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**2 + 0 + 0 + (0*y + 0*y + y)*(0 - 2*y + 0) - 4*y + 4*y - y**2 - y + y**2 + y - 2*y**2 - y + y + 0 + 2*y + 2*y**2 - 2 + 4.\nAnswer: -5*y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.005 + 0.245. Does o = -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-3))\/((-28)\/(-56)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.22 + -0.02. What is the closest to -1\/2 in -0.06, m, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 1:17 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9042\/7 - -18077\/14. Let s be 2*(-1 + (-24)\/(-21)). What is the nearest to y in s, -6\/11, -1?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 8 + -33 + -8 + 21?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + s + 2)*(-5 + 1 + 3) + (-1 + 4 - 1)*(-s + 0*s + 3*s) + s + 2*s - s + 2*s + s - 4*s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s**2 - 8*s - 6. Let p(j) = -j**2 + 4*j + 3. Let x(q) = 4*i(q) + 10*p(q). Solve x(g) = 0 for g.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 16*j**2 + 15*j - 1. Suppose 13*f + 83 = 5*u + 17*f, 3*f = 6. Give i(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lnvdzxz. Give prob of sequence ldvl.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 10:54 AM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p - 5080 = 7*p. Let f be (6612\/(-50))\/(-3) + p\/3175. What is the greatest common factor of 308 and f?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/2 of a minute?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -43. Let q = p + -19. Suppose 0*j = 5*j - 40. Solve -1 = -5*v + q*u + j, 3*u + 11 = 5*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11144303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*110\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 + 28\/4)*3. Suppose 4*g = 4*p - 2 + 22, 0 = g - 3*p - t. Suppose -291 - 90 = -g*j. What are the prime factors of j?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 6:50 AM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 8, 0*b + 2*k + 6 = b. Suppose -b*h = 2*u - 8, u - 5*h + 10 = 4*u. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from khkhkhkvyhuvpvhkhk. Give prob of sequence ukkp.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4)\/(k\/(k\/k**(-3\/11)*k*k)*k))\/((k**(-3)\/k)\/k**(-4\/5)) assuming k is positive.\nAnswer: k**(26\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.653 + -0.653. Which is the closest to 0.1? (a) -0.07 (b) j (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 36*x**2 + 34*x - 87. Let h be y(-37). Let a = -2 - -2. Suppose a = -u + 84 - h. Is 18 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63961972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 9. Solve -3*d = -u*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1741780\/359 or -4852?\nAnswer: -1741780\/359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5405170, 10810340, 16215510, 21620680, 27025850, 32431020?\n\"Answer: 5405170*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14824 by -436.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-6 - -10)) + -1 + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-8))\/x**18)**(3\/22) assuming x is positive.\nAnswer: x**(-27\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4616 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3786423.\nAnswer: 3, 619, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3009*t + x = -3007*t - 3, -3 = -t - x. Factor 9\/2*k**t - 18*k + 24 - 3\/8*k**3.\nAnswer: -3*(k - 4)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 157*n**6\/6 + n**5\/5 + 19*n**4\/4 - 8*n**2 + 202*n - 65. Find the second derivative of w(y) wrt y.\nAnswer: 3140*y**3 + 12*y**2 + 114*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + (-28 - 26) - -38.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 585737*n*x**2 - 1679377*n*x - x**2 wrt x?\nAnswer: 1171474*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**2 + 23*h - 9. Let b be o(-12). Suppose -1 = -s, b*s = -t - 0*t + 18. Calculate the common denominator of t\/20*(-1302)\/81 + 4 and 29\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 366231 = -3*w, -22*d - 4*w - 610389 = -27*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -14*i**2 + 17. Let r(m) = -5*m**2 + 6. Let t(w) = -17*r(w) + 6*z(w). Let h(q) = -11*q. What is h(t(u))?\nAnswer: -11*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**3 - 31*s**2 - 18*s - 36. Let v be q(-15). Solve -3 = -3*y, 12*z - 5*y + 20 = v*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 8*m + 24*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220012 - 1011200122012?\nAnswer: -1011201112101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y*y**(-1)*y)\/y)**26*(((y*y**8\/y)\/y)\/y*y)\/((((y*y**(5\/3)*y*y)\/y)\/y)\/y) assuming y is positive.\nAnswer: y**(94\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10058730 a multiple of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 63\/2 + -123\/4. Which is the nearest to w? (a) -2 (b) -4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 + -5. Let f = -135 + 139. Let b = n - f. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-24)\/276 + (-2442)\/1012)*((-7)\/(-5) + -3). Factor 46\/11*i + 2\/11*i**2 + t.\nAnswer: 2*(i + 1)*(i + 22)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11400642 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-206)\/(-2678)*13\/(-12).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 27 - -261?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2313352428 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -58 (b) 4 (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 46*q = 429. What is the remainder when 191 is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/3*5\/(-15)*9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - -3. Suppose 3*t + m = 5*x + t, 5*x + 3*t + 7 = 0. Let v = -28.046 - -28.146. Which is the second smallest value? (a) 1\/4 (b) v (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-166)\/(-10) + -7*15\/175.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18*(33\/396)\/(4\/40)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -460590640 greater than -460590640?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*q + 12. Suppose 0 = q*m + 2*t - 191, -5*m + 4*t + 32 = -301. Suppose 2*s - 75 = m. What is the remainder when s is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 865498495 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51945.\nAnswer: 3, 5, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-7 + (4 - (1 - 0)))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 32*c**2 - 52*c + 17. Determine q(9).\nAnswer: 2141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 21 = 3*r, 109*r = -4*l + 108*r - 43 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1283 is divided by (-106)\/424*(-8)\/2*(48 - 1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 - 20 - 17 + 81 - f**3 + 5*f**2 - f**4 - 2*f - 24 to the form y*f + o + n*f**4 + t*f**3 + m*f**2 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ihbiljvllvhilbillilv. What is prob of picking 2 i and 1 b?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -6*w - 4. Does 4 divide p(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11064.99249399 + 748.87249289. Let l = m - -10316.04. Let s = -0.08 - l. Round s to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k - 2. Let s be f(1). Sort -1, s, 0.\nAnswer: s, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2449*c + 24494. Let f be n(10). Determine m, given that 0*m - 14\/5*m**5 + 0*m**2 - 8\/5*m**3 + 32\/5*m**f + 0 = 0.\nAnswer: 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - g**2 - g - 5. Let z be x(0). Let y = -2 - z. Suppose 2*d - 11 = y*k, d + 3 = 4*k + 16. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -63 - 36*v**4 + 102*v**4 - 62*v**4 + 411 - 17*v wrt v.\nAnswer: 16*v**3 - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**2\/4 - 56*h + 10335\/4 = 0. Calculate h.\nAnswer: 65, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 5 (c) -23354 (d) 6 (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 76635*d**4*n + 2*d**4 + 3*d*n - 3657160*n wrt d?\nAnswer: 306540*d**3*n + 8*d**3 + 3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 5*s**4 - 3*s**3 - 12*s**2 - 16*s - 8. Let w(r) = 9*r**4 - 5*r**3 - 23*r**2 - 31*r - 14. Let u(h) = 7*f(h) - 4*w(h). Find c, given that u(c) = 0.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 27 = 7. Suppose -m*a = -5*v + 10, -2*a + 7*a = 3*v - 10. Solve -5*x - 4*w = -v*w, 0 = -w for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ocd when three letters picked without replacement from {o: 1, c: 2, d: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 4:00 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-1*(-3)\/9). Let g(f) = 2*f - 6. Let i be g(7). Let y = i + t. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84 and 126.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 2145 - 2113 = 0 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 743 - 773 = 0. Suppose 3*p + o - 152 - 123 = 0, 0 = 3*p - 5*o - 299. Is (-31)\/p - (k\/3)\/1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38173, -38170, -38157, -38128, -38077?\nAnswer: -37998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -73, -143, -211, -277, -341, -403, -463?\n\"Answer: m**2 - 73*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u + 3. Let z be r(0). Suppose -z = -s + 4*k + 11, -5*s = -k + 25. Let d(t) = -t + 1. Let n be d(s). Is 7 not equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-69)\/(-966))\/((-2)\/16).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(-3)\/(-18)*0. Suppose z = -4*w - t + 25, 19 = -w + 2*w - 4*t. Suppose -w = -o - 5. Solve 0 = b, 3*b - o*b + 20 = -4*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 4*f - 12, -4*i + 2*f = -i + 10. Let a be (-3 - -4)*i\/(-2). Suppose 0*r - 9 = -3*r. Solve 0*u = -l + a*u, r*l + 18 = -3*u for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 5:02 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -3*d + 8. Let f(c) = -6*c + 21. Let p(t) = t - 4. Let l(q) = d*f(q) + 21*p(q). What is l(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11519, -23037, -34553, -46067, -57579, -69089, -80597?\nAnswer: -92103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*m - 1117 = -1845. Solve m*k - 32*k = -a - 20, 8 = k - a for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(-4)*n))**(-21) assuming n is positive.\nAnswer: n**(-63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, f: 4, o: 3, t: 7, r: 1}. Give prob of picking 1 f and 1 o.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**3\/2 - 333*z\/2 - 165 = 0. What is z?\nAnswer: -10, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1271*l - 577*l - 1848 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 11. Let b be -6*-1*(-2)\/p. Suppose -2 = -x - b*v - 1, -5*x - 3*v = -12. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8905*((-13)\/(-26))\/(2\/(-4)). Do -8904 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o - 3. Suppose x - 2*j - 11 = 0, -2 = 2*x + 5*j + 3. What is the tens digit of c(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -851013 divided by -2199\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f - 6. Let o(a) = -a**3 + 11*a**2 - a + 6. Let u be o(11). Let s be 1\/u + ((-34)\/5 - 0). What is i(s)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -126*h + 2*h**2 - 126*h - 126*h + 377*h + 34 to g + z*h + s*h**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - q + 2 - 6 - 2 + 1.\nAnswer: -q - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 887489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*d - 7 - 0, -9 = -4*r - 3*d. Suppose x = -r*x + 1196. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/82*-4)\/(252\/63)?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {t: 7, c: 8, r: 5}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 6*x + 2. Let m be y(6). Solve 4 = -m*j + 2*n, -2*j + 5 = 4*n + 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 4\/((-8)\/(-1598))*1. Suppose 0 = 8*o - 10*o + 4*u + r, 0 = u + 4. List the prime factors of o.\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 15, 0 = -23*j + 20*j - 5*t + 48. Solve j = -5*q - 4*z, 3*q - 5 = 3*z + 10 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -0.09207?\nAnswer: -0.09207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -13*t**2 - 21*t + 3. Let b be 1\/2*126\/9. Suppose 4 - 46 = b*j. Let d(s) = 7*s**2 + 11*s - 2. Let o(i) = j*u(i) - 11*d(i). Factor o(n).\nAnswer: (n + 1)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40.11 - -40.2. Let v = -480.7900375 - -480.7. Let w = m + v. Round w to six dps.\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 6986*x - 92753. Give n(13).\nAnswer: -1935","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10, -33, -92, -205, -390?\n\"Answer: -3*o**3 - 2*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 347298?\nAnswer: 1736490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2029568095 to the power of 1\/3, to the nearest integer?\nAnswer: 1266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.03999882 + 1.04. What is t rounded to 7 dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j\/(j**(-4)\/j)*j))\/(j*(j**0*j)\/j) assuming j is positive.\nAnswer: j**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 43457398 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 19*r**2.\nAnswer: -19*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 451235958 to the power of 1\/2, to the nearest integer?\nAnswer: 21242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 0 + -7 + 5 + 219 + (-54 - 41).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 413 and 177.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200 (base 11) to base 8.\nAnswer: -362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - 4*y + 103. Let j(f) = -f. Let r(o) = -4*j(o) + w(o). Let q(c) be the first derivative of r(c). Let s(x) = 4*x**2 - 5. Give s(q(k)).\nAnswer: 16*k**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - o + 1. Let m(v) = 6*v**3 + 6*v**2 + 9*v - 10. Let f(h) = 5*l(h) + m(h). Let a be f(-5). Differentiate a + 0*z - 1 - 2*z with respect to z.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*l*s**4 + 6673959*l*s**2 + 659567*l wrt s?\nAnswer: -8*l*s**3 + 13347918*l*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 433*n**3 - 1. Let a(q) = -q**3 + 6*q**2 + 7*q + 1. Let i be a(7). Let k be x(i). Suppose 12 = -3*d, d - k = -2*j - 2*j. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l - 2\/3*l**2 + 1\/6*l**3 + 0.\nAnswer: l*(l - 6)*(l + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1018 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ltll when four letters picked without replacement from ttlqqtlttftftqtqqqq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52730223, 52730237, 52730251, 52730265?\nAnswer: 52730279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21908651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -5a1db8?\nAnswer: -5a1dbd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-1)*110\/(-20). Let j(w) = 28*w - 13. Is j(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44712.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 4 (b) 3\/2 (c) 0.5 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 4*y, 0 = -3*t + 3727*y - 3730*y + 33 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.87 in 9, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14062 is divided by 3515?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -57*n - 1549 + 534*n**3 - 7*n - 9*n + 71*n wrt n.\nAnswer: 1602*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f. Let g(o) = -o - 4. Let p = -3 - -5. Let m(s) = -6 - 2 + 3 - p*s - 4. Let j(z) = -9*g(z) + 4*m(z). Give j(r(l)).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 2*q - 2. Determine x(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/4*(-40)\/(-3). Let j = m + 35. Let l = 18 + j. Calculate the remainder when l is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 7*q + 7*q + q)*((-2 + 0 + 3)*(-q - 5*q + 3*q) + q + 4 - 4).\nAnswer: -2*q**2 - 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 21 + 4. Suppose y*l = -20 + 95. Is 15 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (1 - 4 - 5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7706945?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -481 + 481. Let s(z) be the second derivative of 1\/2*z**3 - 1\/14*z**7 + z - 1\/5*z**6 + 0 + d*z**2 + 0*z**5 + 1\/2*z**4. Determine k so that s(k) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2. Let n(p) = -97*p - 36. Let j(u) = -n(u) + 3*v(u). What is the derivative of j(o) wrt o?\nAnswer: 97","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 10 (c) 3\/82 (d) -0.45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3831?\nAnswer: 3, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -34.4 in 0.074849, -5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -d**6\/6 + 2*d**2 + 4. Find the second derivative of k(u) wrt u.\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -11*r**2\/2 + 5*r - 3. Let j(n) = -6*n + 3. Let g(u) = 5*j(u) - 3*s(u). Let c(k) = 9*k. Give c(g(x)).\nAnswer: 27*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uww when three letters picked without replacement from {u: 1, w: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -330 = 671*f - 701*f for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49692?\nAnswer: 2, 3, 41, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -145 - 269. Solve 0 = 141*b - o*b - 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3915 - -1919. Let l = k + 1996.00000983. Round l to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -u**4\/6 + 2*u + 17. Let z(n) = -53*n. Give y(z(x)).\nAnswer: -5618*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 168562.1l in millilitres?\nAnswer: 168562100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(396) + 0)*-4 - ((sqrt(396)*2 + sqrt(396))**2 + -5)*-2.\nAnswer: 48*sqrt(11) + 7118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 15 = 2*o. Let z = -205 + 307. What is the highest common divisor of z and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3 + -1*((1*(sqrt(128) - (2 + sqrt(128) + -1)) + 4)**2 + -1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 6:59 PM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**4\/13 - 31502*a**3\/13 - 31500*a**2\/13.\nAnswer: -2*a**2*(a + 1)*(a + 15750)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + 1)*-4.\nAnswer: -28*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -293 in descending order.\nAnswer: 2, -3, -293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.689 + 2.7. Let c = z - 0.01099784. Round c to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14150983?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, g: 1, y: 3, v: 3}. What is prob of picking 2 y and 2 v?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 - 89 = -34*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {z: 5, d: 14}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n**3\/13 + 178000*n**2\/13 + 228838*n\/13 + 50852\/13 = 0. Calculate n.\nAnswer: -12713, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 226 + -222. Which is bigger: 20\/7 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.12 - -1.88. What is the nearest to -0.1 in 4\/7, h, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-4\/9)\/(n\/(n*n*n**(-6))) assuming n is positive.\nAnswer: n**(-49\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-2))\/(1\/(-2)). Let v = 0.6 + -0.1. Let m = -0.07 - -5.07. Which is the nearest to x? (a) v (b) 0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/4)\/((-2)\/36). Let q be 6*(-1)\/(w\/(-6)). What is the third derivative of 0*u**4 - u**2 - 3*u**q + 2*u**4 wrt u?\nAnswer: -24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -2. Suppose -w*q - 5*k = q - 5, -5*q + 3*k = -13. What is the smallest common multiple of q and (-6 - -3 - -6) + 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 4, -2.\nAnswer: -2, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.434*-245.\nAnswer: 106.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = 4*k - 3*d + 56, -2*k - 2*d - 4 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 5*o = -12. Suppose -o*f = -f - 369. Suppose 5*y = 126 + f. What are the prime factors of y?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/4, -7, 0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + f - 2. Let a be k(2). Let q(o) = o**3 - 2*o**2 - 5*o. Let t = 9 - 5. Let m be q(t). Calculate the greatest common divisor of m and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 10:26 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.30065 - 1.32. Round p to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*64837282.\nAnswer: 12967456.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 1679 = 1741. Suppose 4*k + s = 8*k. Is k a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4604*b**2 - 32*b - 34. Is 39 a factor of k(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 2 = -p. Suppose -p*z = -2*z - 105. Let j be 8 + 5\/(-1) + 4. What is the greatest common factor of z and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cdxzxgzdzgggzdzgccd. What is prob of picking 2 g, 1 z, and 1 x?\nAnswer: 25\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2953.112 microseconds?\nAnswer: 0.002953112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -9*n**8\/784 + 177*n**7\/490 + 127*n**6\/140 - 19*n**5\/70 - 85*n**4\/56 + 3*n**3\/2 + 304*n**2. Solve l(i) = 0 for i.\nAnswer: -1, 1\/3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -c*y - 15773*c + 3*y**4 + 47*y wrt y.\nAnswer: -c + 12*y**3 + 47","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1370?\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (80\/64)\/(105\/420)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.4472 minus -0.11224?\nAnswer: -14.33496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 12:13 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + 34604277.\nAnswer: 34604277.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -232 - -258.7. Let i = c - -0.3. Let q = -27.0000074 + i. Round q to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z - 8. Let i(m) = 654*m + 8. Let t(p) = -i(p) - r(p). Let u(g) = 4*g. What is u(t(c))?\nAnswer: -2612*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 0 + (3 + sqrt(112))*5)*2)**2.\nAnswer: 3040*sqrt(7) + 12644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (332 - -1) + -13 + -12 + 22 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 6*d**2 - d - 15. Let h(c) be the first derivative of c**3\/3 + 5*c**2\/2 - 3*c - 36. Let s be h(-2). List the prime factors of y(s).\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**20\/k))\/k)\/(k*(k**(-10)\/k)\/k*k)*(k**(-2\/33)*k)\/(k*k\/k**(6\/7)) assuming k is positive.\nAnswer: k**(-2357\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - 3*r + 4*h - 46, 0 = h - 1. Suppose -f = -0*f - 5, -o + r = -3*f. Find the common denominator of 25\/6 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**2\/5 + 23122316*h - 115611579\/5 = 0.\nAnswer: 1, 115611579","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1053 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2270124308?\nAnswer: 2, 17, 33384181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 312\/(-78)*-28*(-15)\/80?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12975, -12974, -12973, -12972, -12971, -12970?\nAnswer: -12969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*i - 6*i - 3. Put 2\/3, i, 2 in decreasing order.\nAnswer: 2, i, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - 6*m + 3. Let x(g) = 3*g + 2. Let c(y) = -y**2 - 9*y - 13. Let s be c(-7). Suppose 4*z + 7 + s = 0. Let u be x(z). Calculate v(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 11:33 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**3 + 45*p**2 - 21*p + 55. Let u be i(-23). Solve z = -2*l - 3, -5*l + 3*l + 3*z = -u for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -1dcb?\nAnswer: -1dcb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and 113.699632?\nAnswer: 114.699632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -1\/326684?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3023*c**2 - 1419*c**2 + 6814*c**2 + 181*c**2)*(-c**3 - 3*c**3 + 6*c**3).\nAnswer: 17198*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.857532 nanoseconds to seconds.\nAnswer: 0.000000000857532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 1 = 10. Let x(w) = -10*w - 3. Is x(h) 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 eejjvjjjmpee. What is prob of sequence ve?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/36)\/(5 + (-70)\/16).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z - 6. Suppose -2*p + 0 = -6. Suppose p*g - 2*g = 6. Let s be o(g). Are s and -4\/11 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 15 = -0*r - 4*b, -10 = 5*r + 5*b for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -42\/16386511 and 20\/4396381?\nAnswer: 180251621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u - 8*u + 10 + 6*u.\nAnswer: 2*u + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/4 - (-27 + 3). What is the greatest common factor of n and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 3) + 10 + (6 - 23).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 347028 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 711789, -4, -2 in ascending order.\nAnswer: -4, -2, 711789","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2222013335782 - 0.5.\nAnswer: -2222013335782.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -35, -77, -135, -209?\nAnswer: -299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -1727*o. Let d(z) = 19*z - 1. Calculate d(a(x)).\nAnswer: -32813*x - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -3*f + 20, -5*f + 30 = j - 9. Sort -4, j, 745 in descending order.\nAnswer: 745, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 6*p = p - 15, 4*y = -4*p - 12. Suppose 12 + y = 2*r. Let x be (-4)\/16*(r + -4). Which is smaller: x or 0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) -5\/63 (c) 2 (d) 8 (e) 0.5 (f) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 43 = 25 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -813*g + g**3 - 3359671 + 6719334 - 3359663.\nAnswer: g**3 - 813*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14915365 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 953574750 and 8340.\nAnswer: 4170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1015 and 0.5691.\nAnswer: 0.4676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1177415621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 + 6. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 0*p**2 - 5*p + p**2 - 3 + 5. Let l be s(3). Let v(w) = w**2 - w + 4. What is the common denominator of v(l) and -115\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560528 to the power of 1\/2, to the nearest integer?\nAnswer: 749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 504 and 2739?\nAnswer: 460152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2826 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 51*i**2 + 38*i - 55. Let v be k(4). Do 913 and v have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 309 - -130. Which is smaller: x or 442?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.081 + 2.369. Let d = o + -2. Let g = 0.05 + d. Which is the third biggest value? (a) -1\/9 (b) g (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 10*v**2 + 7*v - 4. Let k(h) = h**3 - 11*h - 1. Let c be k(-3). Let g(u) = -u**2. Let i(w) = c*g(w) - l(w). Calculate i(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20.9 - 1374.\nAnswer: -1394.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 56 = 4*u. Let i be (3\/6)\/((-2)\/u). Suppose -3*f + 14 + i = 0. Solve 1 = -2*v - 2*j - f, -4*j - 4 = -2*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*x - 1. Let r(a) = -4*a - a**3 + 1 + 0*a**2 + a**2 - 7*a**x + 0*a**2. Suppose 12 = -3*l - 3*o, o - 6 = 2*l + 5*o. Give r(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3660004\/87 - -42070. Let u = 22799\/435 + h. Let w = 53 - u. Is w less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8759, -19584, -30409, -41234, -52059, -62884?\nAnswer: -73709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.1404 and -19.\nAnswer: -21.6676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1651*h + 895*h + 7047 = -999*h for h.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 79 + -555\/7. Let x(l) = -62*l + 376. Let b be x(6). Put -2, b, i, 3\/2 in decreasing order.\nAnswer: b, 3\/2, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 18423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 231 + -236. Let t(y) be the second derivative of -5*y + 1\/6*y**3 + 0 + y**2. Determine t(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3524 (base 10) to base 16.\nAnswer: -dc4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 200304324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2623003 is divided by 907?\nAnswer: 866","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, n: 4, y: 3, z: 8}. What is prob of picking 1 d, 2 y, and 1 z?\nAnswer: 12\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 18971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -15 + 1\/7*p**3 - 3\/35*p**5 - 3\/14*p**4 + 3\/7*p**2 + 0*p. Solve o(i) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 11:44 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*4\/(-8)*-3.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47.3 - 3.3. Let g = r - -16. Let q = g - 59.986. Is 1 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 816 divide 12983708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 619655?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 9. Suppose -q = -r + 1. Solve -3*x = r*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 143 and 9453818?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4234241 (base 6) in base 3?\nAnswer: 101111222121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3563*f + 21375. What is j(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3)\/(14\/(-126))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*g*s**3 - 17*g - 18*s**5 + s - 2 wrt s?\nAnswer: -42*g*s - 360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -490 (b) -0.2 (c) -2\/7 (d) 1 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.8 - -19.6. Let z = g - 22. Which is the second smallest value? (a) z (b) -1\/2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + ((sqrt(216)*-3)\/((sqrt(8) + sqrt(32))*-6 + sqrt(8)))**2)*-5.\nAnswer: -12480\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 0 = -16. Suppose 4*v + 0*v = -3*t + 28, -5*t = -v - g. Suppose -t*h - 3 + 31 = 0. Is 7 != h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-2 + 2)) + (-30 - -30)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(15)\/(sqrt(48) - sqrt(3)).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -334, -1332, -2982, -5272, -8190, -11724?\n\"Answer: 2*a**3 - 338*a**2 + 2*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11, -22, -37, -56, -79, -106?\n\"Answer: -2*o**2 - 5*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.35, -1\/3, 3.8, 0.2, -4 in descending order.\nAnswer: 3.8, 0.35, 0.2, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -5 + 6 - (100 - 73)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*m - 25*m + 49 = 0. Calculate the remainder when 143 is divided by m.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 106 (base 8) to base 5.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/954 and -67\/36.\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - -27) + 6 + (0 - -91) + 0 + -11\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gvav when four letters picked without replacement from {u: 1, v: 2, a: 1, z: 1, g: 1, o: 2}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233265646?\nAnswer: 2, 41, 69383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 810677 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 97 + (-32844)\/340 + (-1)\/((-5)\/(-2)). Determine g, given that 0*g + a + 10\/7*g**2 - 2\/7*g**3 = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 9) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 15*r**2 - 15*r - 12. Let s be n(16). Solve d + 8 = -2*i, 3*d + 16 + 2 = -s*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.05 + -5.05. Let j = -3 - -3.4. Let o be 21\/14*4\/6. Which is the closest to o? (a) q (b) j (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 13 + 56*d**2 - 4 - 2 + d + 3*d. Suppose 2*p + 8 = -2*p. Does 38 divide n(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3*c = -2, c = -c + 8. Let z = 4 - j. Solve -z*r + 20 = 2*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1)\/p*p\/p**(-5))\/(p**(-5)*p\/p**7))\/(p\/(p*p\/(p\/((p**(-2)\/p)\/p)))*p*p\/p**(-2\/11))**(-2\/19) assuming p is positive.\nAnswer: p**(3271\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 2*n + 1, 4*r + 7*n + 4 = 11*n for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 5:11 AM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ecez when four letters picked without replacement from {e: 3, z: 2, u: 7, c: 1, l: 1}?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, a: 1, t: 3, j: 3, c: 3}. What is prob of sequence ejat?\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 1883 = -5*r - 1835, -6*z = -3*r + 18 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 247 - 15*w - 235 + w**4 + 13*w in the form i*w + k*w**3 + f + v*w**2 + x*w**4 and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, c: 8}. Give prob of picking 4 c.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23.9 + -25.1. What is the closest to -2 in -0.2, i, 2\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 + 188 = -19*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + 1*(sqrt(405) + -3*sqrt(405)) + sqrt(405))**2.\nAnswer: -288*sqrt(5) + 1684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 6*s = 4*s + 14, -i = 4*s. Suppose -4 = -3*n - 4*r + i, 0 = 3*n + 5*r - 7. Solve 0 = n*l + 16, -4*t + t = 4*l + 31 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24716 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -422*i**2 + 105*i**2 + 98*i**2 + 93*i**2 + 100*i**2.\nAnswer: -26*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 7:34 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (0 - -74) - (-16 + -27 + 48).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 17 = 5. Let k be d - 0 - (10 + -3). Which is smaller: k or 0.01?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12602825 divided by -2520565\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 231416921?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6673*n + 2*n**2 - 6673*n.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 10:56 PM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -3*n + 5*a - 4*a, -a = 4*n + 42. Let s be 6\/n - (-108)\/30. Solve 2*u - 4*c + 2 = -s*u, 0 = 3*u - 2*c for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 908015 + -355732. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -644aa2 - 0?\nAnswer: -644aa2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of p**6\/360 + 7*p**4\/24 + p**3 - 7*p**2. Let a(g) be the first derivative of q(g). Differentiate a(t) with respect to t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**4 + 2*h**3 - 2*h**2 + 2. Let f(n) = -4*n**4 - 148*n**3 - 141*n**2 - 2*n + 10. Let o(c) = -f(c) + 5*z(c). Find the third derivative of o(d) wrt d.\nAnswer: -24*d + 948","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 0)\/6*(52 - 48).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 6*a = -a + 7, 2*i - 5*a - 31 = 0. Let k be (180\/8)\/9*i\/10. Solve -6*j = -k*j + 2*u + 18, 5*u + 29 = -2*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 10*q**2 + 15*q + 4. What is m(-6)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -0*t + 5*t. Let u = -5 - -4. Let h be (u - -2)*(1 - t). Sort 2, -2, h in descending order.\nAnswer: 2, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, z: 4}. What is prob of sequence znz?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of f**5\/5 - f**4\/6 - 443*f**3\/3 - 17*f**2 - 32*f. What is the derivative of v(i) wrt i?\nAnswer: 24*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71183191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/7407 and -79\/6584.\nAnswer: 59256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -10 - 5 - 1 - q - 1 + 5. Give j(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -3*s - 6, -s - 57*h - 12 = -55*h for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**3 - 28*f + 28*f - 5*f**3.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -j + 5. Suppose s + 29 = -n, 3*n + 2*s + 95 = -j*s. Calculate the common denominator of 101\/6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 8726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -26*d + 76. What is the third derivative of 29*s - 14*s + 65*s**6 - 6*s - 195*s**d - 12*s - 2*s**2 wrt s?\nAnswer: -15600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 2*y - 5. Let b be (14\/49*4)\/(4\/14). Let a be c(b). Factor -6*x - 30*x**3 - a*x**2 + 11*x + x.\nAnswer: -3*x*(2*x + 1)*(5*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11435812 rounded to the nearest 100000?\nAnswer: -11400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1 + sqrt(2) + 0.\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*h + 45 + 40. Let f(a) = -1 - 6*a + 0*a**2 - 2 - a**2. Let z be f(h). Put z, 0, 3 in decreasing order.\nAnswer: 3, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114930 + 114930 + 24*j**3.\nAnswer: 24*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -21, -87, -199, -357, -561?\n\"Answer: -23*y**2 + 3*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g*g\/(g*g\/(g**(-7)*g)))\/g)*g)**(2\/19) assuming g is positive.\nAnswer: g**(18\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*r + 2*r + 27. Suppose -4*a + 3*w = -w - 68, -48 = -r*a + 4*w. Solve 0*h - 3*h = 2*q - 15, 0 = 4*h + 4*q - a for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8435647 is divided by 8435633.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.14 at least -39853?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9, -9, -37, -75?\n\"Answer: -5*k**2 - 3*k + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 10:53 AM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1931 - -3.1931. Let l = 0.01 - -1.99. Let r be ((0 + -2)*1\/1)\/7. What is the biggest value in r, o, l, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2515676950?\nAnswer: 2, 5, 19, 2648081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (4 - -4 - (28 + -3 + -7)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -676, -1269, -1778, -2203, -2544?\nAnswer: -2801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n + 6 + 0 - 16)*(-3 + 3 + n) to c + l*n**2 + h*n and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(114)\/(1*sqrt(2)*-6))\/(sqrt(300) + (2*sqrt(147) - sqrt(3))))**2.\nAnswer: 76\/4761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000718341 to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 0.181 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-15)\/(-20))*(-3)\/8*-20.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.3917 rounded to one decimal place?\nAnswer: -18.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2081 - 4*n + 2069 - 4118 + 0*n in the form s + f*n and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1232 and 112?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sisdsdtssv. What is prob of sequence ddvt?\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/1)\/(-2) - -1. Suppose 5*q + 10 = 5*k, 4*q - 6 = -3*k - q. Suppose -j*o = -k*o. Solve 4*n + n = o for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - 5*j - 3. Let b be c(-4). Suppose -1 = -r + b. Suppose -88 = -r*q + 2*i, 2*i - 12 = -2*i. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 56 + 4\/3*a**3 + 3*a - a**2 - 1\/4*a**4. What is h(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -431?\nAnswer: -430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1022 (base 4) to base 10\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - d - 2*d)*(-4*d + 6*d - d) + 654*d**2 + 2312 - 2312.\nAnswer: 653*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-6)*(-3)\/(-14)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 divided by 190.\nAnswer: -27\/190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/5))**(-18\/13) assuming u is positive.\nAnswer: u**(54\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 97\/((-215)\/55 + 4). Suppose s = 5*l - 6*l. Let f = l + 1507. Calculate the greatest common factor of f and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (3 - (5 - 11))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0010963141 to six dps.\nAnswer: -0.001096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**4 + 3*z**2 - 7*z - 3. Let r(m) = -2*m**4 + 2*m**2 - 6*m - 2. Let p(s) = -2*a(s) + 3*r(s). Find the second derivative of p(i) wrt i.\nAnswer: -48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001986627 rounded to 7 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*k**2 + 22*k**2 - 123*k**3 - 20*k**3)*(2*k**2 + 0*k**2 - 3*k**2).\nAnswer: 143*k**5 - 5*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40667496 to the nearest integer?\nAnswer: 6377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 3, u: 7, g: 9}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -86 - -87.42. Let b = 3.41 - g. Round b to one decimal place.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 z when two letters picked without replacement from rrhzheerhmd.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2721498 by -104673.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 6*z**2 + 4. Let s be g(-6). Suppose s*h + 3*w = 7, 2*h + 3 - 4 = w. Solve -7 - h = 2*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + t - 16 + 0*t + 11 + 9.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 6*q - 1 = 0. What is the smallest value in q, 0.4, -1\/3, 0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 41\/20 - (-48)\/(-24). Let n(r) be the first derivative of 1\/6*r**3 + 3 - t*r**5 + 0*r**4 - 1\/4*r + 0*r**2. Find v such that n(v) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238631 is divided by 1671.\nAnswer: 1349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1419602 and 1247?\nAnswer: 41168458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 513\/4 - 129. Sort j, 5, -0.3 in descending order.\nAnswer: 5, -0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3353.819 millilitres?\nAnswer: 3.353819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 5*m - 5487. Give c(72).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 16*c - 19*c. Let a be 1 + -2 + (c - -1) + 0. List the prime factors of (0 - a) + 40 + 5.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42934633591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 10158.\nAnswer: 30474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + h + 0*h)*(-2*h + 4*h + 0*h)*(6*h - h + h).\nAnswer: -24*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + -3 + (-69 - -54)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2869 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 4*w - 9. Let i be t(-5). Let b = -63 + 62. Let d be 486\/24 - b\/i. Calculate the greatest common factor of 2 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*g + 11047 = 14727 for g.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 9*s + 4232, -g + 321 = -4*s + 1150. Which is greater: g or -2522\/3?\nAnswer: -2522\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 8*a - 10. Let w be i(9). Let o be 0\/(3\/w + 5). Suppose 7*q + 10762 + 24938 = o. Round q to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 532151743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6.5 in -0.4, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**5\/7 - 228*u**4\/7 + 9628*u**3\/7 - 174928*u**2\/7 + 146334*u + 2829124\/7.\nAnswer: 2*(u - 29)**4*(u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2038123?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*o = 18*o - 481 - 619 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 688777.\nAnswer: 688777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -386 minus -0.909796?\nAnswer: -385.090204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*p - 320, 2*q - 5*q + 120 = p. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 6*w**2 + 5*w - 12. Let v be l(-7). Solve 0 = 3*j - v + 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 465594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*n + 4*z - z, 5 = n + 2*z. What is the closest to n in 0.4, -4, 2\/11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.15 (b) 3 (c) -52700\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of 169*v**4\/6 - 421*v**3\/6 + 2*v**2 - 248. Find the first derivative of g(i) wrt i.\nAnswer: 676","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -7. Suppose 2*v = 7*v - 10. What is the derivative of 2*c - u*c - 2 + v*c wrt c?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 greater than or equal to 121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3453.421 from -249507.\nAnswer: -252960.421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4904813899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001336225 rounded to six decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*s + 2*s + 5*s to v + o*s and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 528, 1070, 1608, 2142, 2672?\nAnswer: 3198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 2:06 AM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19195392 and 240.\nAnswer: 95976960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2 + sqrt(112) + -1)**2.\nAnswer: 8*sqrt(7) + 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-seven halves of a meter?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 12 + -33 - -29\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 265921608*a**4 - 161563*a**2 + 35 wrt a?\nAnswer: 6382118592*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, a: 2, w: 6, l: 7, i: 4}. What is prob of sequence lwu?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 4:38 AM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 266*g**2 + 7 + 7 + 10 - 38*g**2 to x + r*g**2 + k*g and give x.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*h**3 + 35*h**3 - 26*h**3)*((0 - 3 + 1)*(h - 1 + 1) + 5 - 5 + 3*h - 5 + 5 + h).\nAnswer: 88*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2349 - -3730112.701?\nAnswer: 3732461.701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -22*i**3 + 39*i**2 + 13*i + 6. Is w(-6) a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -24*s**2 - 12*s. Let f(b) = -67*b**2 - 27*b + 8. Let p(w) = 42*w**2 + 17*w - 5. Let l(a) = -5*f(a) - 8*p(a). What is -12*l(q) + m(q)?\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 44*l. Let h(x) be the first derivative of 16 + 0*x**2 + 0*x + 2\/3*x**3. Give o(h(w)).\nAnswer: 88*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -248 + 250. Which is the closest to v? (a) -4 (b) 2 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25a00 (base 16) to base 12.\nAnswer: 75228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 + 58. Let l(r) = -4*r**2 - 3*r + 2. Let c(t) = -2*t**2 - t + 1. Give x*c(w) - 3*l(w).\nAnswer: -2*w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1771 + (-6 - -3))*77\/(-154). Is s bigger than 888?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 49*j**2 + 19*j - 7. Let h(l) = 24*l**2 + 10*l - 4 - 12*l**2 + 13*l**2. Let g(i) = -7*h(i) + 4*x(i). What is the second derivative of g(t) wrt t?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 10, -4 in descending order.\nAnswer: 10, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 2865.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 813783?\nAnswer: -813783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 845 + -845. Let p(o) be the first derivative of 0*o**4 + w*o + 2\/3*o**6 + 0*o**2 - 5 + 0*o**5 + 20\/3*o**3. Find the third derivative of p(y) wrt y.\nAnswer: 240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -17*s**7\/210 - 17*s**5\/30 + 10145*s**3\/6 + 20*s**2 + 23*s. Find the first derivative of p(m) wrt m.\nAnswer: -68*m**3 - 68*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48424, -96650, -144876, -193102, -241328, -289554?\nAnswer: -337780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1280 times 0.611?\nAnswer: 782.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/6 + 5\/(-3). Suppose -8*n + 5*n - 375 = 0. Let p = n + 125. Is a less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14676.072 months to decades.\nAnswer: 122.3006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -4475133892.\nAnswer: -4475133891.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 300181.\nAnswer: 7, 19, 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/13, -0.1, 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10306475*p + 13876977 wrt p.\nAnswer: -10306475","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 + 6020*f - 108036.\nAnswer: -(f - 6002)*(f - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m + 36. Let o = 54 + -72. Let u be l(o). Let i(j) = 6*j + 9091. Is i(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12 (b) 4\/92153 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88 + -6 + -56 - (-11 + 1).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 + -35. Let z(h) be the first derivative of h**2 + 2 + 1\/2*h**4 + 0*h**3 + i*h. Find the second derivative of z(w) wrt w.\nAnswer: 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1444\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**4\/11 - 152*d**3\/11 + 3306*d**2\/11 - 15820*d\/11 + 19600\/11 = 0. Calculate d.\nAnswer: 2, 4, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10263, 31628, 67237, 117090?\n\"Answer: 7122*o**2 - o + 3142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4518 is divided by 189.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5535322 rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -14, -14, -2, 28, 82, 166, 286, 448?\n\"Answer: w**3 - 7*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 12 = -3. Calculate the remainder when 7 is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 9*a - 10. Let y be f(8). Let s = y + 22. Suppose s = -4*h + 12. Solve -4*n + d - 1 = -h*d, 0 = 5*n + d + 6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2409521 is divided by 2315?\nAnswer: 1921","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50 + -71. Let l = c + 37. Solve 0*g - 4*g = -l for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11 (b) -1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16462 rounded to 2 decimal places?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42\/11 - 325\/88. Sort 4, u, 0.2 in increasing order.\nAnswer: u, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -336 + 131. Let s = v + 205.1. Which is smaller: 9 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y - 1. Let v(n) be the second derivative of 0 + 2*n + 2\/3*n**3 - 1\/2*n**2. Suppose 3*a = -a + 16. What is a*v(f) - 3*m(f)?\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gcgg when four letters picked without replacement from ccuccgucggcccgg?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 0 + 5 = 0. Let q be (-2)\/g + -2 - -2. What is the units digit of q + 0 - -1*5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -30*s + 1900. Let l be q(62). What is the highest common divisor of l and 1580?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/5)*j)\/(j*j**(-2\/7)))\/((j*j\/(j*j**(-9\/5)*j))\/(j*j*j*j*j\/j**8)) assuming j is positive.\nAnswer: j**(-33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4.9380848849131 and -0.2.\nAnswer: 4.7380848849131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**4 + v**3 - v**2 + v - 1. Let i(a) = -3*a**5 + a**4 + 4*a**3 - 4*a**2 - 5*a + 5. Let f(z) = i(z) + 2*n(z). Factor f(p).\nAnswer: -3*(p - 1)**3*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**2 - 59*f. Let p(q) = -10*q. What is p(v(n))?\nAnswer: 20*n**2 + 590*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 873.8041 years to months.\nAnswer: 10485.6492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 31 = -4*h, 5*h - 62 - 14 = -3*d. Suppose -3*b = -4*s - 1, -s + b - 6*b = -d. Suppose -2*v + 26 = -v + i, -3*v - s*i = -82. Is 16 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4 + sqrt(52)\/sqrt(16).\nAnswer: -8 + sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 6:14 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s + 2*s**2 - 3*s**2 + 2*s)*(-7*s - 2*s - s) in the form g*s + c + j*s**3 + y*s**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -28. What is the remainder when (-6)\/33 - (-598)\/22 is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4482792 to the power of 1\/3, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -654*h. Let g(u) = 2*u**2. Give n(g(d)).\nAnswer: -1308*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/14846937 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {j: 17, s: 2}?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (1001\/(-286))\/(1\/(1*2))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2178129*j. Let l(o) = -12*o**2. Give l(p(m)).\nAnswer: -56930951287692*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 2:15 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + l + 2 + 12 = 0, -q - 2*l = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2)*t)**(-9\/4)*(t**(2\/3))**(1\/80) assuming t is positive.\nAnswer: t**(271\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/20 - 72\/(-105). Which is the second smallest value? (a) 3\/7 (b) 2\/9 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 68 + 4 + -3 + (-1 - 10)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/2, -16, -32.01, -0.047.\nAnswer: -32.01, -16, -7\/2, -0.047","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 460 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1243850?\nAnswer: 2, 5, 24877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -104 * 0.24.\nAnswer: -24.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -21747, -21746, -21745, -21744, -21743?\n\"Answer: o - 21748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 4*q + 4. Let r be w(-4). Let u = r + -1. Calculate the highest common divisor of u and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3147646 is divided by 72.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**2 - 7*c + 1. Let x = -475 - -481. Let z(g) = -4*g**2 + 13*g - 2. Determine x*z(w) + 11*b(w).\nAnswer: -2*w**2 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**3 + 2*u**2 - 2*u**2)*(2*u + 2*u - 5*u) + u**4 + u**4 + 2*u**4.\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*z**3 + 2*z**2 - 273*z - 6428 wrt z?\nAnswer: 9*z**2 + 4*z - 273","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 7:34 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 1535363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1779278*u**3 + 4*u**2 + 2*u - 2797 wrt u?\nAnswer: -10675668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 2*g + 0 + (4*g - 4*g + 4*g)*(61 + 13 - 16) to o*g + p and give o.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 23 = 5*l, -25*l + 20*l + 26 = -4*v. Let s(d) = -30*d + 4. Calculate s(v).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 5*a**2 - 8*a - 1. Let p(n) = 3*n - 7. Let r be p(5). Is s(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -2*x + 4634, x + 15 = 4*x. Is 43 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-17)\/(-36) + 4\/(-18). Let v be 30\/56 + (-8)\/28. Factor -v + 1\/4*c**2 - 1\/4*c**3 + t*c.\nAnswer: -(c - 1)**2*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 - 30. Let u = 17 + y. Solve 4*w - u = w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 10*a**2 - 26*a + 3. Give q(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 786*c**2. Let r(w) = -4*w**2. Determine s(r(u)).\nAnswer: 12576*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*y - 5. Suppose y*i - 1 = 39. Suppose 5*s + 0*s - 60 = 0. Calculate the greatest common factor of s and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.23262 * 118.\nAnswer: 27.44916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -132451712 divided by 894944\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -732404*c**2 + 4529*c - 4529. Let o(b) = 647*b**2 - 4*b + 4. Calculate -4*a(u) - 4529*o(u).\nAnswer: -647*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(6\/11)*u)**(-1\/32)\/(u**(-6))**(6\/17) assuming u is positive.\nAnswer: u**(12383\/5984)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15783 divided by -5261.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**3\/9 + 32070*s**2 - 6942754100*s\/3 + 208253761000\/9 = 0. Calculate s.\nAnswer: 10, 144310","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -700019*w - 620316.\nAnswer: -700019","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 6) to base 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1724 + -1479.95. Let u = 244 - o. Which is the smallest value? (a) u (b) 0 (c) 0.3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 4*d**2 - 2*d - 4. Suppose -s + 6 = -3*s. Determine a(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -f**4\/8 + f**2. Let s(n) be the first derivative of -n**2 + 54. What is m(s(c))?\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19752*g - 19770*g + 510 - 510.\nAnswer: -18*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 7*n = -2*h + 11, -9 = -3*h + 3*n. Suppose h*k - 38129 = -q, -30*q + 19060 = 2*k - 28*q. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 7*q = 5*q + 34, -3*n + 58 = -4*q for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -v**4\/50 + 2*v**3\/25 + 6. Factor w(r).\nAnswer: -2*r**2*(r - 3)\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10764 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3714*v + 787476. What is t(-212)?\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + (-130)\/(-22))*-1.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/19108 and -93\/88468.\nAnswer: 24859508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (290955\/(-238))\/489*(516\/10)\/(-1)?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4195999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 - 38*m - 10. List the prime factors of b(-5).\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/15)\/(10\/25). Let j = 10 + 6. Solve w - q*v = 1, -4*w - v + j = w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3209.72 and -1325.\nAnswer: 1884.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 1. Let m(a) = -28*a**3 - 34*a**2 - 2*a + 1. Let d(z) = -2*m(z) - 6*o(z). Suppose d(v) = 0. Calculate v.\nAnswer: -1, -1\/2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1446*z**4 - 2395*z?\nAnswer: -17352*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, -5, -0.12?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 49*r - 385. Give n(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 to the power of 1\/10, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/10)\/((-30)\/(-4)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.3 - 6.31. Put 55, 5, 4, b in descending order.\nAnswer: 55, 5, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7251 is divided by 1798?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) 0.3 (c) -2 (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 235*v + 462*v = 225*v - 4, -2*u = -2*v - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 723.9398 centuries in millennia?\nAnswer: 72.39398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + 13*i - 18. Let x be s(12). Let h = 42 - x. Does 7 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z + 0*z - z**3 - 35 + 166*z**2 - 180*z**2 - z. Let l be x(-14). Solve l*i = 9*i + 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -78151.9 + 78151.7000002. Let d = i + 0.2. What is d rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nplrc. Give prob of picking 1 c and 1 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 15 + 3. Let z(l) = 2*l**2 + 360*l**3 - 4*l + 2*l**2 - 361*l**y. Let a = -2 - -6. Calculate z(a).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 9112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -5. Let g = 70 - 74. Let y = g + 4. What is the nearest to 1 in y, u, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33.6477579 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2558?\nAnswer: 2, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9313 - 9305. Let j(w) = -w**2 - 13*w + 18. Give j(r).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3714766?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -82320056 + -20.\nAnswer: -82320076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -15 - 24?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 7. Let k = 4 - q. Let u = 0.235 - 0.035. Which is bigger: u or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*s**2 + 4*s + 62*s**2 - 4*s + 177*s**2.\nAnswer: 250*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + 1. Let m = 38 + -28. Calculate the remainder when a is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.77 and -1?\nAnswer: 3.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -164 - -166. Solve -5*w = 4*o - g, -3*o - 5*w - 1 + 5 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 16) to base 7\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.05 and -7371641?\nAnswer: 368582.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + 3 + 1*28. Let y = d + -14. Calculate the remainder when 48*(1 - (-2)\/(-4)) is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (0 + 0 + 8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -5.657735?\nAnswer: -1.6973205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -3*n + 75 - 3, -4*d = 4*n - 64. Calculate the smallest common multiple of d and 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 189*b*t**4 + 133*b*t**3 - 97538*b - 634*t**4 - 41*t**2 + 3*t wrt t?\nAnswer: 4536*b*t + 798*b - 15216*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -74 + 27. Calculate the common denominator of 41\/28 and 47 + x - 110\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 3*i - 2. Let c(b) = b**3 + b**2 - 9*b. Let y be c(-3). Let r(a) = -7*a - 4 + y*a - 10*a - 3*a**2 - 2. Determine -4*r(j) + 11*z(j).\nAnswer: j**2 - j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 21*d**3 - 5*d. Let b(n) = -n**3 - 12*n**2 + 10*n - 34. Let j be b(-13). Let h(z) = 52*z**3 - 12*z. Determine j*h(c) - 12*p(c).\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(1\/37)\/l*l*l*l**(-1\/34)*l assuming l is positive.\nAnswer: l**(3771\/1258)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o**2 + 105*o. Let g be j(35). Which is the biggest value? (a) g (b) 9 (c) 0.2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/128 and -93\/176.\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 8*i**2 + 10*i + 9. Let g be m(-9). Suppose 0*l + 3*l - 3 = g. What is the highest common factor of 5 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + 0. Let s = -0.11 - -0.61. Let w = s + -0.3. Which is the second smallest value? (a) -0.5 (b) w (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, g: 1, e: 6, s: 1, l: 1}. Give prob of picking 1 e and 1 g.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -19, 133, -1, -27, 1 in descending order.\nAnswer: 133, 1, -1, -19, -27, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -5*r**3 - 3*r**2 + 3*r + 1. Determine j(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 67.1 + -67. Let h = 0.02 + -7.02. Let n = 3 + h. Sort k, -0.3, n in ascending order.\nAnswer: n, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*z + 12992 = -127*z. Which is smaller: 1\/14 or z?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85, 78, -121, -608, -1479, -2830, -4757, -7356?\nAnswer: -10723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-28)\/12)\/(2\/6). Let w(s) = s + 10. Let z be w(d). Is 9*(z - 12\/9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 500835 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272)*1 - sqrt(272))*-3 - (3 + -1 + sqrt(272)))**2 - (2 + (sqrt(272) - (sqrt(272) + (sqrt(272) + 1)*-5)))**2.\nAnswer: -6573 - 264*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = b, -4*o + 35*b - 63*b = -35*b + 71 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69201 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - (-2 - -4))*(-2 - -4). Factor -1\/2 - u - 1\/2*u**l.\nAnswer: -(u + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/2 + 53*z + 107\/2.\nAnswer: -(z - 107)*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + 7?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2*v**4 - 35710*v**3 + 159846250*v**2 - 3979210250*v + 23843167500 = 0.\nAnswer: 10, 15, 8915","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 4*r**2 + 4*r + 4. Let z be x(4). Calculate the greatest common divisor of 30 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008568 rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 264\/7*h**2 + 0 - 432\/7*h - 51\/7*h**3 + 3\/7*h**4.\nAnswer: 3*h*(h - 9)*(h - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5881 a factor of 2769843180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 24990629 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -848 (b) 4 (c) -143872\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -78662 + 78665.4461. Round g to one decimal place.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**4 + 140*j**3 - 936*j**2.\nAnswer: -4*j**2*(j - 26)*(j - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -l**6\/15 + 2*l**5\/25 + l**4\/5 - 4*l**3\/15 - l**2\/5 + 2*l\/5 - 145. Factor t(q).\nAnswer: -2*(q - 1)**3*(q + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 0*k + 486 = y, -5*k + y = -603. What is the greatest common factor of k and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -3*o**2\/2 + 185. Let h(g) = 6*g - 4. Let k(d) = 6*d - 3. Let s(i) = -3*h(i) + 4*k(i). What is c(s(r))?\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -14*u**3 + 3*u**2 + 3*u - 3. Let f(g) = 5*g**2 + 209*g - 39. Let p be f(-42). Let o(w) = 253*w**3 - 55*w**2 - 55*w + 55. What is p*o(q) + 55*h(q)?\nAnswer: -11*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/7))**(-29)\/((j**(-2\/49)\/j)\/(j*j\/(j*(j*j*j\/(j*j\/j**10*j*j))\/j*j)*j*j)))**(-5\/2) assuming j is positive.\nAnswer: j**(3245\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 869 is divided by 148?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*r + r - 5*g, -2 = 5*r + 2*g. Solve -6*t + 7*t = r for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -42, -318, -778, -1416, -2226, -3202, -4338, -5628?\n\"Answer: k**3 - 98*k**2 + 11*k + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2. Let n(t) = -1. Let d(i) = -16*i - 161. Let k be d(-10). What is k*n(f) - g(f)?\nAnswer: 2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*2*(-42)\/12. Let c = 15 + d. Suppose -7*r + 27 + 71 = 0. Calculate the smallest common multiple of c and r.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 84 = -5*l, -3*l - 5*u + 46 = -u. What is the greatest common divisor of l and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 63\/(-14)*(-2 + 6). Let g = 23 + q. Solve g = -3*t + 4*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 664, 660, 654, 646, 636, 624, 610?\n\"Answer: -a**2 - a + 666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -4*b**4 - 20*b**3 - 8*b**2 - 8*b. Let y = -63 + 55. Let w(g) = -3*g**4 - 13*g**3 - 5*g**2 - 5*g. Let q(t) = y*w(t) + 5*j(t). Solve q(k) = 0 for k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 + 64 + 75*u - 31)*(u - 3*u + u).\nAnswer: -75*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/18 + 25\/198. What is the fourth smallest value in 6, 1, -3, u?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 13*m**2 + 9*m - 12. Let q be 2\/8 + (-57)\/4. Let o be f(q). Let w = o - 31. What is w rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/6*180\/(-200)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2*(5 + sqrt(24)\/(sqrt(84)\/sqrt(7)) + sqrt(2) + sqrt(2)))**2.\nAnswer: 60*sqrt(2) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5420 from -0.059.\nAnswer: 5419.941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1052 and 1841?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 8*i - 8. Let b be u(6). Suppose 13 - 65 = -b*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 second derivative of 2*o**5 - 3*o**4 - 9340*o**2 + 148540*o?\nAnswer: 40*o**3 - 36*o**2 - 18680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 - 18. Suppose -2*y + v = -y. Suppose 364 = 3*q + q + y*f, -4*q + 5*f = -400. Calculate the highest common factor of q and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72828298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12152\/(-168))\/((-91)\/(-39)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i + 0*i + i**2 + (-i - 3*i**2 + i)*(-576 - 605 + 1074).\nAnswer: 322*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 5404683*b**2. Let a(z) = -z**2. What is a(j(c))?\nAnswer: -29210598330489*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 4:26 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 9. Suppose -10 = 5*v + 3*x, -2*x - 4 = v - x. What is the highest common divisor of v and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 405686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, f: 1, k: 1, e: 4, c: 5, m: 3}. What is prob of picking 2 g?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3*l = 355, 3*s - l + 213 = l. Let g = -51 - s. Calculate the greatest common factor of 4 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) 4 (c) -0.19 (d) 0.1 (e) -68 (f) 8 (g) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*w - 5044 + 5616 = 0 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 3:59 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 5*p + 1494 - 1494. Let o(l) = 2*l. Determine w(o(h)).\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28.051 + 0.051. Let y = 37 + d. Suppose -2*c + 3 - 16 = -5*x, -2*c = x - 5. Are c and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4446 + -4418. Solve 0 = -4*o + 4*z - p, -4*o - 5*z + 10*z - 33 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4617) + sqrt(4617)*-1)\/(sqrt(15)\/(sqrt(320) + sqrt(5))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26854\/195 + 1792\/13. Let a = -2 - -1.7. Put j, 3\/2, a in descending order.\nAnswer: 3\/2, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/12)*s\/(s\/s**(-3\/5))*s**0*s*s\/((s\/(s*s**11))\/s*s) assuming s is positive.\nAnswer: s**(739\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w. Let d be -3 + 3\/(-6)*-4. Let x be (1 + d)\/(3 + -2). Let m be n(x). Solve m = 4*q + 2*g, g = q - 2 - 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3509745 is divided by 92360.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 612594805 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1469.13 + 1445. Let b = w - -24. Round b to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -180 divided by 13.\nAnswer: -180\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 1:04 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b - 10. Suppose 0 = 4*m + 2*t - 24, -3*t - 1 - 11 = -2*m. Let c be u(m). Solve 4*q = -q + 2*v + 15, -c*v = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8123879 to the power of 1\/2, to the nearest integer?\nAnswer: 2850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x. Let h = 54 + -53. Let r(f) = -f**2 - 7*f + 7. Let b be r(h). Let k(m) = 26*m + 35. Let o(t) = b*k(t) - l(t). What is the derivative of o(j) wrt j?\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -73 - (-1 + ((8 - (-4 - 3)) + -6 - 13)).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/7 (b) 2\/11 (c) 1 (d) 428\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 74 + 167. Let a = y - -202. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11e1 (base 15) to base 16\nAnswer: -ee3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5, 5, -3, -25, -67?\n\"Answer: -r**3 + 2*r**2 + r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 280 and 1220?\nAnswer: 17080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 74*s**2 - 5*s + 15. Let f be i(-5). What is the highest common divisor of f and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -348.3+-696.46\nAnswer: -1044.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 316 + -307. Suppose -z*o + 8652 = 2307. List the prime factors of o.\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, -2\/5, -5, 2\/3, 0.132, 1\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*r + 24*r + 2712 = 5*b, -4*r - 1640 = -3*b. Solve b - 40 = -62*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 7*o - 6. Let d be y(-5). Suppose -j**3 - 6*j - 2*j**3 + j**d + 4*j**3 + 5*j - j**2 = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of c**7\/840 - c**6\/120 + c**4\/6 - c**3 + 8*c**2. Let w(t) be the first derivative of y(t). Let w(f) = 0. Calculate f.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -24*w. Let f(q) be the third derivative of 27*q**4\/8 + 1051*q**2. What is m(f(o))?\nAnswer: -1944*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 144, 155, 168, 183, 200, 219?\nAnswer: 240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 31\/93 - 61080001\/3. Round j to the nearest 100000.\nAnswer: -20400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 12 + 2 - 28 - 11)*(87*a + 10*a - 29*a)*(16 - a - 16) to the form k*a + q + m*a**2 and give m.\nAnswer: 2992","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - -23)\/(-2) - -2. Let k be ((-4)\/f)\/(28\/20). Factor -k*o**2 + 2\/7*o + 4\/7.\nAnswer: -2*(o - 2)*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of t**6\/120 + t**5\/60 - t**4\/6 - t**3\/6 + t**2. Let q be l(-3). Let b = q - -10. Is 3 less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1997\/2382 - 2\/397. Let d(a) be the third derivative of -2*a**2 - t*a**3 + 0*a - 1\/60*a**5 + 0 + 1\/24*a**4. Determine d(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.39943 + -0.39943. Suppose -3*f = 5*k + 13 + 76, -86 = 4*k - 5*f. Sort 2\/5, k, q.\nAnswer: k, q, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(135))\/sqrt(9))\/sqrt(3) - (sqrt(5)*1 + -2 + 0).\nAnswer: 2 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 9.167401cm?\nAnswer: 0.00009167401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.04 + 0.44. Let p = -1.6 - m. Which is the second smallest value? (a) 0.1 (b) -1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 3:45 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -717596?\nAnswer: 717596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 171*p**2 + 148*p + 12. Let m(y) = -342*y**2 - 296*y - 27. Let w(u) = 9*h(u) + 4*m(u). What is the second derivative of w(o) wrt o?\nAnswer: 342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -5*b**2 + 19*b - 6. Let n be m(4). Let p be 1*2*5\/(-50)*n. Solve -o - 3 = -p for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -103*f**2 + 5*f - 6. Let m(z) = 103*z**2 - 5*z + 5. Suppose 0 = -11*l - 26 - 7. Let k(n) = l*m(n) - 4*w(n). Is k(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence otog when four letters picked without replacement from ojjhgggjohthjg?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t + 5. Let r(c) = -c + 1. Let m be r(-3). Let p(s) = -2*s. Let z(k) = 2*k - 1. Let o(f) = -5*p(f) - 4*z(f). What is m*o(i) - 3*n(i)?\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n**3 + 6*n**2 + 6*n + 8. Let g(r) = 7*r**3 + 12*r**2 + 13*r + 16. Let k(p) = 9*f(p) - 4*g(p). Is k(6) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-15)\/6)\/(2\/(-4)). What is n in -n + n**5 - n**5 + 2*n**t + 2*n**3 - 3*n**5 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1618698 is divided by 37636.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 2\/7, 31, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d**3 - 11*d**2 + 11*d + 17. Is s(9) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -49*w**2 + 13*w - 123. Let i(u) = -4*u**2 + u + 3. What is g(l) - 11*i(l)?\nAnswer: -5*l**2 + 2*l - 156","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + g**2 - 10*g**2 + 2 + 1 to the form q*g**2 + n + c*g and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17402 - 15992 = -94*b for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 20*r = 1629 + 1071. Put 2, -5, -3, r in ascending order.\nAnswer: r, -5, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3212864 divided by -1?\nAnswer: -3212864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16\/5 + 96\/5*c - 44\/5*c**2 = 0. What is c?\nAnswer: 2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 - -20. Let y be l + -2 + -3 - -3. Suppose r = -y*r + 85. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3*k**2. Let n(r) be the first derivative of r**2\/2 + 42*r - 597. What is n(d(l))?\nAnswer: -3*l**2 + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38 and 473014614.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5.371216 micrograms?\nAnswer: 0.005371216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/270 and 27\/10.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/4 in -6, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78765.75 meters to centimeters.\nAnswer: 7876575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 60*h**3*t**2 + 2*h**3*t - 2*h**3 - 2221*h**2*p*t - 9014*p*t**2 - 180*p - 4*t**4 wrt t?\nAnswer: 120*h**3 - 18028*p - 48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -b + 1. Calculate the remainder when 18 is divided by b - (3 - (4 - -2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000036061 to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 46?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 896*g = -678*g - 193*g + 11917 - 33121 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (0 + sqrt(17))*1)**2*-2 - (((-2*sqrt(136) + sqrt(136))*2)\/sqrt(8) + 2).\nAnswer: -38 - 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.19 - -0.21. Let w be (-12)\/5 + (-21)\/(-7). Let i be ((-78)\/(-15) - 4)*(-6)\/(-18). What is the third biggest value in i, w, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2 + (sqrt(539)*-2)**2 + sqrt(539) - sqrt(539)) + 5 + 1*(1*sqrt(539) + sqrt(539)))*1*3.\nAnswer: -25833 + 42*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 12. Let s be -3 + (3 + -4)*b. Let u be s + 2 + 0 + 1. Let f(x) = x**3 + 5*x**2 + 2*x - 3. Give f(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-3))\/(-1*(-2)\/6). Let x be z + 2 + -10 - (-2 - 1). Does 55 divide (x\/(-4))\/(3\/440)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36472 and 27542?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 3. What is the smallest common multiple of 20 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.2*-107\nAnswer: 128.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11566 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*o**4 + 1155*o**3 - 122579*o**2\/4 - 12327*o\/2 - 1235\/4 = 0. What is o?\nAnswer: -65, -1\/10, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2731 = 39*q - 1013. Calculate the highest common factor of 4 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16960041.0971888 + 16655073.6972. Let z = l - -304976.4. Let s = -9 + z. What is s rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*c + c. Suppose -413 = c*b + 397. Let i be b\/9*(-2)\/25. Which is smaller: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v*v**(4\/15))*v**(-24))**28 assuming v is positive.\nAnswer: v**(-9772\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-83)\/((-1162)\/(-266))*(-24)\/19?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2632, -5810, -8990, -12172, -15356, -18542, -21730?\nAnswer: -24920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 208 - -971?\nAnswer: b79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 118*p + 13 - p**2 - 219*p + 5 + 120*p + 1. Determine n(20).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 975 + -975. What is the closest to -10 in g, 2, 1, 23?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20321 + 6055 = 42*f. Calculate the least common multiple of f and 4.\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 607 = -2*a - 3*m, -2*a + 601 = 3*m. Suppose -7*f + a = 39. What is the units digit of ((-4)\/5)\/(f\/(-11305))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*o + 0*o - 2*o)*(-20 + 20 - 3*o**2) - 4*o**3 + 2*o**3 + 0*o**3 in the form v*o**2 + h + t*o + w*o**3 and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + 1. Let q(s) = s. Let l be q(u). Let f = l - 8. Which is bigger: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*t**3 + 1444*t**2 + 2904*t = 0. What is t?\nAnswer: -2, 0, 363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36511*o**2 - 440*o - 86797785 with respect to o.\nAnswer: 73022*o - 440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, r: 1, n: 1}. What is prob of sequence lr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 20 = 0, -4*k + 5*k = i + 9. Suppose 2*l = -h - 8, 0*l = -h + l + 7. Solve 0 = -b - k*j + 13, h*b + 0*j + 10 = j for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3151884?\nAnswer: 2, 3, 262657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -7, -1371, -1 in decreasing order.\nAnswer: 3, 1, -1, -7, -1371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 10*c**3 + 6*c**3 + 186*c + 22 - 65*c**4 + 122 + 66*c**4 + 85*c**2 = 0.\nAnswer: -8, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**2 - 3 + 4*l**2 - 11*l**3 + 9*l**2 - 2*l**3.\nAnswer: -13*l**3 + 9*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*t = 84*t - 76*t + 396. Solve -t*v + 6 = -30 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42237*r - 90*r**2 - 42237*r)*(-r**2 - r**2 + 3*r**2).\nAnswer: -90*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 - 20\/35*7. Solve w*o - 5*s = -20, 13*s = -4*o + 10*s + 12 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1504092 a multiple of 146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (221 - 511 - 298 - 58 - 360)*(0*t**4 - 9*t**4 + 2*t**4) in the form c*t**4 + f + x*t + l*t**3 + v*t**2 and give c.\nAnswer: 7042","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-6) + 174\/(-52) + 2.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*y**2 - 5*y**6 - 7*y**6 - 7*y**6 + 11*y**2 wrt y?\nAnswer: -2280*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -117 + 120. Let x = 8 + -4. Sort u, -3, x, 2 in descending order.\nAnswer: x, u, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 440804 at least as big as 4848856\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -453.8334272 to 2 dps.\nAnswer: -453.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -m**4\/12 - 5*m**3\/2 - 13*m**2\/2 + 571*m. Calculate o(-8).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 - -56. Suppose -4 = 4*d - 16. Suppose 2*u + 5*a - 26 = 4*a, 65 = 5*u + d*a. Calculate the remainder when g is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 5*x**2. Let l(o) = 4*o - 5. Let g be (-1 + 1)\/(0 - -2). Let f(t) = 2*t + g*t - 1 - 2. Let d(z) = -5*f(z) + 3*l(z). What is d(w(j))?\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11\/2, 10, 0 in decreasing order.\nAnswer: 10, 11\/2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of x**9\/252 + 67*x**7\/35 + 549*x**5\/10 - 371*x**2. Find the third derivative of q(s) wrt s.\nAnswer: 240*s**3 + 9648*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 131028 * -21.\nAnswer: -2751588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.76 - 0.66. Let l = -9 + 11. Which is the nearest to 1\/4? (a) 0.5 (b) l (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 - 0.246.\nAnswer: 5.754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (4 - (-1 - -5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -137 + 2210. Does 25 divide -3 + (l\/18 - (-5)\/(-30))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -44*m + 0 - 1\/12*m**6 + 5\/84*m**7 + 0*m**4 + 0*m**3 + 0*m**2 + 0*m**5. Factor f(x).\nAnswer: 5*x**4*(x - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 - 34 - (-165)\/44*8.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 148858 and 148859 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4189037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -6 - 6. Let j = -1.11 + 0.61. Let d = 1.6 + 3.4. Put d, j, g in descending order.\nAnswer: d, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 17320385, 34640758, 51961131, 69281504, 86601877, 103922250?\n\"Answer: 17320373*t + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2. Let x(b) be the second derivative of 816*b**3 - 13291*b. Give h(x(y)).\nAnswer: -23970816*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 4*r - 4, 5*r - 2 = -p - 3*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -42 + 194. What is the derivative of a*h - 41 + 137 - 8*h wrt h?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1555162 and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 640\/46 - (-1368)\/15732.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -646, -3368, -8164, -15034?\n\"Answer: -1037*f**2 + 389*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 395237932 divided by 1\nAnswer: 395237932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1504 by 752.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0033373 to four decimal places.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*3\/(-36))\/(1\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 12:06 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*x + 3*m - 8, -3*x + 3*m = 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 116394775?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235*c**3 + 110*c**3 + 286*c**3.\nAnswer: 631*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 12*l**2 - 28*l + 23. Is 34 a factor of u(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 4*u - 56, u + 5*r - 53 + 16 = 0. Let z = -5 + u. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1270586 is divided by 133.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 554806.\nAnswer: 2, 7, 23, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -269 + 435. Is 33 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n**2 + 47*n - 13. Let c be i(-16). Put -3, -4, c in descending order.\nAnswer: c, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60662 divided by -6\nAnswer: 30331\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/22 and -77\/152?\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-3) - 3\/27. Let l = 0.04 + -0.11. Let h = -2.93 + l. What is the smallest value in y, h, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -k**4\/6 + k**3\/6 - k**2 - 338*k. What is r(-2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43563 to the power of 1\/2, to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 101840 or -17?\nAnswer: 101840","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6467.6 and -52643.108.\nAnswer: -46175.508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102927?\nAnswer: 3, 11, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 186368 divided by -182.\nAnswer: -1024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in 5, 0.05, 2\/19, 0.2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22497409?\nAnswer: 11, 17, 10937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1440961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -448 - -457. Let o = -0.055 - 12.545. Let p = 13 + o. Which is the biggest value? (a) p (b) f (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide -1 + 73 + (4 - 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47 + -26. Let u = l + 10. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*g**5 + 98*g**4 - 22263*g**2 wrt g.\nAnswer: 1560*g**2 + 2352*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.5 - 2.1. Suppose q - 489 = -4*s, -4*q + 105 = 4*s - 399. Let d be s\/105 + (-26)\/(-195). Which is the biggest value? (a) m (b) d (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8654 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -234 - -227. Do q and -2.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 15*h**2 + 37*h + 65. Calculate the smallest common multiple of 6 and c(-17).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 4:35 AM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 177066 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2860348, 5720891, 8581434?\nAnswer: 11441977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 1649251948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3770472*c*o**2 + 355*c + 1005*o wrt o?\nAnswer: 7540944*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5729, -7673, -10917, -15467, -21329, -28509, -37013?\nAnswer: -46847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-593*v**2 + 349*v**2 + 1 + 289*v**2)*(2*v - 2*v**3 - 2*v).\nAnswer: -90*v**5 - 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 205678 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zhu when three letters picked without replacement from {b: 4, l: 9, z: 1, u: 1, h: 2}.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 597*y + 2903 + 1792 + 4857 = 0 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 186015477?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2948.204170611 + -979975.195829069. Let o = w - -982923. Let j = o + 0.4. What is j rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -126300 divided by 5\nAnswer: -25260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 812991222 to the nearest integer?\nAnswer: 933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*u + 5*c, -3*u - 4*c - 6 = -0*u. What is the closest to -2\/5 in -1, 1\/2, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4514801703?\nAnswer: 3, 1504933901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 161*m**2. Let t(n) = 7*n**2. Determine t(r(w)).\nAnswer: 181447*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o. Let f(c) = -3*c. Let u(l) = 10*l. Let x(m) = 16*f(m) + 5*u(m). Determine w(x(p)).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -4*p - 84. Are -14 and p nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 37*h + 1 = 8*h - 48*h, 3*s + 2*h - 8 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1399337 divided by -5?\nAnswer: 1399337\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 2, 1, 0 in ascending order.\nAnswer: 0, 1, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*21826.\nAnswer: 2182.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/18)\/(60\/(-54))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1195 + -1200. Let r(u) = u**2 + 8*u + 3. Let v be r(-8). Sort -0.6, d, v in descending order.\nAnswer: v, -0.6, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18551 is divided by 94?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -190*g**3 - 184*g**2 wrt g?\nAnswer: -1140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c + 3. Let a be o(-4). Let v be -6*(1 + 21\/a). What is the greatest common divisor of v and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -13*n**2 + 5*n - 54. Let l be a(5). Let b = l - -358. Solve 20 = -b*k + 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qo when two letters picked without replacement from {r: 9, k: 2, o: 2, q: 1, a: 3}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3587 and 15614?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 12*o - 2. Let b be c(-8). Suppose l = 1 + b. Suppose 17 = 3*j - l. Calculate the smallest common multiple of 10 and j.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = o - 11 + 5, -2*z = -5*o + 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 + 23. Suppose a = q*a - 12. Let m = a - 0. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1454, -6, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1197 - -1519. Suppose -3*z - 3*v + 80 = -5*v, z + v - 30 = 0. Calculate the greatest common factor of s and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 487459*a**3 - 188137*a**2 wrt a.\nAnswer: 2924754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of j**6\/120 + 2*j**5\/15 - 5*j**4\/24 + 3*j**3\/2 + 19*j**2 + 1. Let f be p(-5). Does f = 108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 3*r + 1692 = -7698, 0 = -4*n + 5*r + 12516. Is n a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 37440138*f*l - 83910989*l wrt f.\nAnswer: 37440138*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27365 and 4382610.\nAnswer: 2105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12467896?\nAnswer: 2, 7, 67, 3323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**5\/4 - 3*b**4\/2.\nAnswer: b**4*(b - 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 44*r**2 + 47*r - 84. Let z be p(45). Suppose k - 63*y - 15 = -67*y, z = 2*y. Solve 0 = 4*w + 5 + k for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 631530678?\nAnswer: 2, 3, 105255113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4203010 + 1?\nAnswer: 4203011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -24, -27, -10, 39, 132, 281, 498?\nAnswer: 795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4 = 3*f + 2*f, -f = y + 4. Let x(v) = v + 10. Let b be x(-12). Let o be ((-4)\/(-20))\/(3\/b). What is the nearest to 1 in y, 4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 10*u - 8*u. Suppose 11*v + u = v. Sort v, -1, -3, 0 in ascending order.\nAnswer: v, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -959 = 4*s - 7. Let r = 430 + s. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*p = -2581 + 2968 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-1 - (8 - 5) - -9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -2\/7 (c) -130533\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15554040 by -17130.\nAnswer: -908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4*d + 6. Let w be (-7)\/1 - (-2 + -1). Let o be b(w). Let s = 12 + o. Solve 0 = -2*n - 6 + s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7133007, -7133009, -7133011?\n\"Answer: -2*l - 7133005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1841 times 0.5?\nAnswer: 920.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11615890 to the power of 1\/3, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 8:06 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**3\/6 + 429677*z**2 + 1718707*z\/2 + 1289030\/3 = 0 for z.\nAnswer: -2578060, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/2*(3344\/(-11))\/(-19).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10*2\/15)\/((-2)\/(-111)). Find the second derivative of 3*k - w*k + 50*k**2 - 43*k**2 wrt k.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of 71*z**6\/10 + z**5\/10 + z**3\/6 + 147*z**2 - 9*z + 27. What is the second derivative of y(b) wrt b?\nAnswer: 2556*b**2 + 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((9 - -2) + -4)\/(1\/(-2)). Calculate the remainder when 181 is divided by j\/56 - (-186)\/8.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290963.\nAnswer: 290963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.065 + -6.065. Which is the second biggest value? (a) 0 (b) u (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 244*h = -246*h - 12, -4*z - 6 = h for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 58\/17 - 157\/51. Let z = -1 + 0. Sort -5, z, -1\/2, d in increasing order.\nAnswer: -5, z, -1\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3*k + 24 = 0, -z - k = 4*z - 18. Solve 5*h + 16 = 4*w, -z*h - 7 = 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - (0 + -7)) + (0 + -2 - -10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -576 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, 1, 0.372, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2724 take away 125?\nAnswer: -2849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21151 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1592812*a**3 + 593794*a**2.\nAnswer: -9556872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/8 and (-4 - (-73)\/18)*125?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 1:10 AM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (-25 + (5 - -7))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58538886.\nAnswer: 2, 3, 7, 19, 109, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-20)\/3) + (-6182)\/605 + 11\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of w**4\/24 + w**3\/6 + w**2. Suppose 3 + 2 = -5*d. Calculate m(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kll when three letters picked without replacement from lldkddkddkdd?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(171))**2 + -5 - sqrt(912)\/sqrt(3)).\nAnswer: -4*sqrt(19) + 167","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**2 - 2*j**3 + 5*j - 2*j**2 + j**2 - 5*j**4 + 2*j**4 to h*j + z + o*j**4 + g*j**3 + u*j**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63)\/7*(-11)\/11.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 6*u**2 + 24. Suppose 0 = -4*g, 3*n - g + 6*g = 213. What is the remainder when n is divided by a(-6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 42 = 7*t. Suppose -10*g = -t*g. List the prime factors of (g + 1 - (1 - -1))*-14.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 + -23 + 19 + -29\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -621.87 - -622. What is the nearest to y in -4, -1\/8, 0, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -346836 to the nearest 1000.\nAnswer: -347000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/5 - (-803)\/(-55). Let c(f) = -3*f - 31. Suppose 0 = -4*n - 4*b + 32, -2*n - n + 34 = -2*b. Calculate the lowest common multiple of n and c(o).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127104973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7460 by -1865.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kxz when three letters picked without replacement from {x: 1, i: 5, k: 1, h: 5, b: 1, z: 2}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x**3 - 2*x**2 - 3*x - 4. Let c be y(0). Let l(p) = -p**3 - p**2 + p + 1. Let r(u) = 16*u**3 + 14*u**2 - 14*u - 14. What is c*r(n) - 56*l(n)?\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/((-1232)\/21))\/((-3)\/(-2))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 2:56 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 4063?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-10))\/(((-26)\/(100100\/(-66)))\/((-60)\/(-70)))\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1092, 5859, 13776, 24843, 39060?\n\"Answer: 1575*v**2 + 42*v - 525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 41 - -15?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 8\/7, 26, 1 in ascending order.\nAnswer: 1, 8\/7, 26, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l = 5*l + 72*l - 440. Solve g - 2 = 0, -4*r + 2*g - l*g = -26 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -2*y + 26 - 11, 4*y = -3*x + 15. Find the third derivative of 0*r**2 - 2*r**2 - 82*r**x - 17*r + 13*r - 11*r wrt r.\nAnswer: -4920*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w + 456. Let v(s) = -3*s - 685. Give -5*v(g) - 7*x(g).\nAnswer: g + 233","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*z - 3*z - z)*(3 - 3 - z) + (-5*z + 9*z - z + (4 - 4 + 1)*(-5*z + 3*z + 12*z))*(0*z + z + z) to the form g*z + p + t*z**2 and give t.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 12:11 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1378901902 - -1.\nAnswer: -1378901901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 360 - 4?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -2\/25, -3, 92 in descending order.\nAnswer: 92, -2\/25, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*x = 11*x + 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6797567 - 6797567 + 31*l**2 - 2*l**3.\nAnswer: -2*l**3 + 31*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -80753037 and 5.\nAnswer: -80753032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2346, 2344, 2342, 2340, 2338, 2336?\n\"Answer: -2*k + 2348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -12. Solve 0 = 5*l + 2 + c for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 8*u**2 - 7*u - 14. Calculate q(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 352 minutes after 7:18 AM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Total of -92.5 and -77809.77825.\nAnswer: -77902.27825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -39.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 + -97\/5. Let t = -1 + 0. What is the biggest value in t, -1\/5, c?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 * 12\nAnswer: -408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/6*(12 + -15).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 + (-42287)\/2352)*(-2 + 0)?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.7 + 5.9. Let l = -11.8 - h. Let z = -14.07 - l. Which is the closest to 2? (a) 0.5 (b) -0.2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 565391 to the power of 1\/2, to the nearest integer?\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + g**2. Let z(r) = 6*r**3 - 2*r**2. Let i be (-3)\/((-9)\/3)*-2. What is i*y(s) - z(s)?\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13980308 = 125*y - 28*y + 3120285. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -949, -3651, -8085, -14245, -22125, -31719?\n\"Answer: c**3 - 872*c**2 - 93*c + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 299\/2 + -135. Let s = -233\/18 + z. Calculate the common denominator of s and 2\/(-5) + 356\/240.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -g**4\/6 - 2852*g**3\/3 - 2033476*g**2 - 5257*g. Determine o, given that p(o) = 0.\nAnswer: -1426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-97 - (-81 - 7)) + (0 - -17) + 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 618 is divided by 48.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 446 + -452. Let w(x) = -x**3 - 7*x**2 - 2*x + 3. Calculate w(b).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 i when two letters picked without replacement from eeceicf?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7999009 a multiple of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 10:07 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 226622, 453200, 679778, 906356, 1132934, 1359512?\nAnswer: 1586090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(-1\/3)*u*u)*u)\/u)**(-33)\/(u**(-2\/5))**(-3\/11) assuming u is positive.\nAnswer: u**(3019\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -13021333 (base 4) in base 16?\nAnswer: -727f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 13, 535, -11 in decreasing order.\nAnswer: 535, 13, 5, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 325\/(-390)*1*9\/3*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 1, 5, 0, -5\/6 in decreasing order.\nAnswer: 15, 5, 1, 0, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -1 - (-3 - -2))*(-1827)\/(-63).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 12:08 AM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -170420000 rounded to the nearest 1000000?\nAnswer: -170000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 71*r**3 - 8*r**2 - 17*r - 38. Let y be a(9). What is the tens digit of y\/100 - 2\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(154)\/(sqrt(7)*2) + sqrt(220)\/(4*sqrt(10)))\/(3*sqrt(162) + sqrt(162) - sqrt(2) - (sqrt(2) + (sqrt(2) - -3*sqrt(2)) - sqrt(2) - sqrt(2))*4).\nAnswer: -1 + 3*sqrt(11)\/92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 478?\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.897 - -0.103. Let t = p - 3.9. Let f be 1\/(-1) - (-2 - -1). Which is the nearest to t? (a) 0.02 (b) f (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1419773, -1419765, -1419743, -1419701, -1419633, -1419533, -1419395, -1419213?\nAnswer: -1418981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-68)\/84)\/(-17))\/(1\/(-2))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11802\/5 - -2360. Do -0.069 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 420132962?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 308100194?\nAnswer: 2, 4643, 33179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.5, -3, 0.1, 6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u - 6. Let n be h(-6). Suppose -j - j + 6 = n. Let i be 32\/j*3\/2. What is the highest common divisor of 48 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4998554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -15 + c + 1\/2*c**2. Let s(m) = 3*m + 2. Let o = 18 + -13. Give o*h(j) - 2*s(j).\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**2 - 14*n - 17. Let c be d(-5). Suppose 164 = c*z - 592. Calculate the greatest common divisor of 36 and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 12:50 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 27*h**2 + 1712*h - 46227. Calculate x(27).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98 and 153790?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 263319 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -f**6\/45 - 3*f**5\/5 + 73*f**4\/6 - 632*f**3\/9 + 144*f**2 - 2*f + 102. Find x, given that i(x) = 0.\nAnswer: -27, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-6)\/q)**(-13))**(-23\/6) assuming q is positive.\nAnswer: q**(-2093\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnco. Give prob of sequence non.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1)*i**(2\/5)*i*(i*(i\/(i\/i**0))\/i*i*i)**(-26))**(2\/15) assuming i is positive.\nAnswer: i**(-172\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2200 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 7152*r + 42856. Determine g(-6).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-25)\/3675*3).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + (sqrt(66) - (sqrt(66) - sqrt(66)*-2)))*1 + sqrt(66))\/(2*sqrt(6)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 177 = -5*c, 4*c - 2*n + 42 = 3*c. Let s = c - -36. Suppose -k - k = 2*d + 4, s = 4*d - k + 3. Which is greater: d or -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -3, 0, -4, 1.\nAnswer: -4, -3, 0, 1, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.1 and 86.4603.\nAnswer: -95.10633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -16, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 509172 to the power of 1\/2, to the nearest integer?\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3*q = -111, -4*x + 3*q + 141 = -0*q. Let s = x + -30. Let c(p) = 5*p - 4. Let k(n) = 2*n - 2. Let g(h) = 4*c(h) - 9*k(h). Determine g(s).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3021, 13333, 23647, 33963, 44281, 54601?\n\"Answer: f**2 + 10309*f - 7289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**3\/5 - 51*d**2\/5 - 216*d\/5 = 0. What is d?\nAnswer: -9, -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.335616526969 - -4.\nAnswer: 3.664383473031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-13*7\/(-546))\/((-26)\/(-507))\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**3 + 0*p**3 - 2*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 o, and 1 j when three letters picked without replacement from {k: 5, o: 3, b: 1, s: 1, a: 1, j: 1}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39475236, -78950473, -118425710, -157900947, -197376184?\nAnswer: -236851421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45.80000281 - 45.8. What is o rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291199900 rounded to the nearest 1000000?\nAnswer: 291000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -33\/5, 78, 0.4, 2\/15, 0.1 in descending order.\nAnswer: 78, 0.4, 2\/7, 2\/15, 0.1, -33\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + z + 20 = 0. Suppose 0 = -2*p - 4*l - l - z, -4*p + 4*l - 36 = 0. List the prime factors of (p + 8)*(-1 - -32).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 9, l = p - l - 45. Suppose 7*z - 34 = 36. Calculate the remainder when p is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 632568 to the nearest integer?\nAnswer: 795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -5*a + 2 - 8 + 13*a. Let i(o) = -2 - 18 + 23*o + 3. Calculate 17*b(t) - 6*i(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 + 9 - 82 - 117?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -274320 divided by -20.\nAnswer: 13716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 3.02, -3.24, 1\/1908?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one quarter of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -1. Let m(q) = -3*q + 10. Let b(z) = -2*m(z) - 14*v(z). Let h be b(7). Solve -h + 11 = -5*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27924027 is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2261 is divided by 84?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 174.99 + -178. Let f = p + -2.11. Let h = f - -0.12. Which is the second smallest value? (a) -2\/11 (b) h (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -70943 - -99387. List the prime factors of i.\nAnswer: 2, 13, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**4 - 2*z**4 + z**4 + (3*z**4 + 2 - 2)*(6 + 0 - 4))*(-19 - 29 + 20).\nAnswer: -140*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 94\/390 - (-2900)\/(-9425)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 368745 and 1248.\nAnswer: 11799840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 3*h**2 + 6*h - 9. Let x be n(4). Let j be (x + -4)\/(20\/(-24)). Let l be ((-8)\/j)\/((-1)\/6). What is the highest common divisor of 20 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + -203714.55?\nAnswer: -203714.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 183\/15 - (-464)\/580.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) -7 (c) -14 (d) 3 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 52\/5 (b) -2\/27 (c) -191501\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -332 + -38. Let i = 376 + b. Solve -i*v + 4*v = -8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -134295 divided by -21\nAnswer: 6395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/17)\/o*(o**0\/o)\/o)**(-11\/2) assuming o is positive.\nAnswer: o**(539\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03217 times 0.5?\nAnswer: -0.016085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = y + y. Let q = -36\/35 + 3\/7. What is the closest to -2\/5 in q, y, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 7 = 2*y + 4*g, 0 = 3*y + g. Let w be 120\/(-22) + 3 - -3*1. Which is smaller: w or y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 130*j**2 - 418*j - 34649. Calculate s(135).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 316*a - 312*a + 24, 4*w - 32 = 2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 18, 31, 44, 57?\n\"Answer: 13*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 38891.29 nanograms in micrograms?\nAnswer: 38.89129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2110 - -2125. Solve 2*z - 21*x - r = -16*x, 5*x + 15 = -2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1393764, 2787489, 4181176, 5574825, 6968436, 8362009?\nAnswer: 9755544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30924671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 359904520883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1664338?\nAnswer: 2, 13, 64013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -i**3*j - i**3 - 3201399*i**2*j - 2697025*i**2 + 1 wrt j?\nAnswer: -i**3 - 3201399*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (13 - (2 + -4)) + (-165 - -131).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 6*d + d + 39 = 0, 5*k = -4*d + 72. Let l be (-5)\/((-20)\/32)*12. Calculate the greatest common factor of l and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 + -28. Suppose 6*x - 108 = -z*x. Is 6113\/x - (-20)\/(-90) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 439423907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 28889*x + 7*x**2 + 28889*x.\nAnswer: 7*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2052085979?\nAnswer: 2052085979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*n - 2. Let a = n + 6. What is the derivative of 0 - a + c**4 + c**4 wrt c?\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 + -17 + -12 + 12 + (6 - -20).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 - s**2 + 3*s**2)*(-6*s + 3*s + 2*s)*(-s + 0 + 2*s - 1).\nAnswer: -2*s**4 + 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -345, 2, 0, 4, -5, 313, -2.\nAnswer: -345, -5, -2, 0, 2, 4, 313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - (-611*3 - -1). Let i = -40303\/22 + m. Let j = -1659\/136 - -405\/17. What is the common denominator of i and j?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8640) + (sqrt(8640) + sqrt(8640) + (sqrt(8640) - (sqrt(8640) - sqrt(8640)*-2)) + sqrt(8640))*-1)\/(sqrt(48) + -6*sqrt(240)\/sqrt(5) - sqrt(48)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1312 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 12 = -3*n. Let o(f) = 32*f + 1. Let s be o(-3). Let m = s + 114. What is the remainder when m is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 76586\/33 - 2321. Let y = -49\/44 - -92863\/82676. Let f = 257855\/45096 - y. Find the common denominator of f and p.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 113, 648, 1591, 2936, 4677, 6808, 9323?\n\"Answer: -q**3 + 210*q**2 - 88*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -22 - -2b05?\nAnswer: 2ae3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 2\/9, 3, -17118.5, -0.3 in descending order.\nAnswer: 3, 2\/9, -0.3, -4\/7, -17118.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (77*y - 87857*y**3 - 2*y**4 + 87857*y**3)*(1 + 1 - 3)*(1 + 3 - 5).\nAnswer: -2*y**4 + 77*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/((15\/55)\/(6\/(-20))).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8448503 is divided by 1177.\nAnswer: 1174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.399 - 2.45.\nAnswer: -2.849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21480, -21479, -21478?\nAnswer: -21477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 4 (b) -2 (c) 74.3 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -3, -1, -1\/4, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -5 (b) 42\/11 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 3:01 PM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - 6.05?\nAnswer: -5.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -36*a. Let c be (0\/(-1))\/(-1 + 0). Suppose -3*v + 45 - 62 = -4*k, 0 = 3*v + 9. Let l(s) = c*s**2 + 241*s - 241*s + s**k. Calculate l(o(u)).\nAnswer: 1296*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 6 + 4 + 1636*d - 1.\nAnswer: 1636*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(210)*-2 - sqrt(210))\/sqrt(10))\/(5*(sqrt(7) + sqrt(28))))**2.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(1\/6)*y)\/y*y)\/y)**(1\/4) assuming y is positive.\nAnswer: y**(1\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -5*h - 200. Let y be (-7414 + 14)*(0 - h). What is y rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + (-2 - -1) + 0. Suppose 4*z - 5*f - 183 = a, f - 91 = -2*z + 4*f. Let r(x) = -2*x + 6. What is the remainder when z is divided by r(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 6*m**3 + 60*m**2 - 132*m + 4. Let v(o) = -8*o**3 - 57*o**2 + 131*o - 5. Let g(q) = 5*u(q) + 4*v(q). Factor g(w).\nAnswer: -2*w*(w - 34)*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 2*w**2 - 2*w + 2. Let h be r(3). Calculate the remainder when 15 + h + -4 + 1 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1252*z + 1018*z + 120284 = 6784 for z.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of 40*x**3\/3 - 7*x**2\/2 + 25*x. Is i(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -6 - 7 + 2*f - 7 + 11. Let q be i(6). Solve q*p + 2*y - 9 = y, 4*p - 25 = 3*y for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 226905 divided by -6483\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 882\/(-245) + (5 - 1\/1). Which is the closest to 0? (a) q (b) -1\/6 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 - 65 - (0 - 8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (880 + 0*f**2 + 3*f - 828 - f**2)*(3*f - f + 0*f) as l*f**2 + g + d*f**3 + x*f and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 4)\/((-4)\/2) + 3. Find the third derivative of 0*b**3 - 2914*b**4 + 2934*b**4 - 10*b**z + 0*b**3 wrt b.\nAnswer: 480*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 5*s + 2, 0 = -2*j - 2*j - s + 65. Suppose 4*c = -5*y + 14, c - 180 = 2*y - 170. What is the remainder when j is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-6)\/3)*(-2)\/24\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7797 - 14298 - 10989 = 583*v for v.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11386.\nAnswer: 2, 5693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -3 + (-3 - -6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 17650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27231 - -5997. Is 36 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13\/11? (a) 2\/11 (b) 7298 (c) 0.2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + n + 8 = 0, 4 = 2*v + 2*n - 4. Suppose -3*m + v*m = 123. Is m a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of 20*s**3\/3 + 405*s - 7. Let x(t) = -300*t. Give r(x(v)).\nAnswer: -12000*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6*(-3 + (-42)\/(-12)). Let m(i) be the first derivative of 0*i - i**t - 1\/2*i**4 + 1 + 0*i**2. Find the third derivative of m(x) wrt x.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/7 + 2\/(-7). Calculate the common denominator of 47\/9 - (-1 - 2) and 190\/(-12) + l\/(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -250.87 + 271.87. What is the closest to b in 2, -2, 0.3, -15?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104011 (base 5) in base 12?\nAnswer: 2127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5971*6.\nAnswer: 35826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3*(1 + sqrt(288) - sqrt(288)) - sqrt(288) - (sqrt(288) + (sqrt(288) - (sqrt(288) + sqrt(288) + 0 + -5) - sqrt(288))**2 + sqrt(288))).\nAnswer: -2348 + 408*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + 2*x - 5*s - 52, 0 = 5*x - 3*s - 168. Let h be (-9 - -1)*(-3 + 4). Let k = h + x. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.071, -2\/439.\nAnswer: -1, -0.071, -2\/439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1475*d = 1423*d - v - 114, d - 3*v - 28 = -0*v for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 64.4646 to 0 dps.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 160 + 3151*v - 385 + 225 in the form d*v + w and give d.\nAnswer: 3151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 + -208\/7. Put -2\/13, 1, a in ascending order.\nAnswer: -2\/13, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*a**2*i**2*p - 3*a**2*i*p + 908217*a**2 + 3*a*i**2*p - 34*a*i*p - 2*a*i + 44*a - 10*i**2*p - 3*i**2 - p wrt a?\nAnswer: -6*i**2*p - 6*i*p + 1816434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*o + b, 3*o - 4*b - 26 = 17. Solve 0 = 4*c - 3*r - 31, c - 2*r = -r + o for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2331*m**2. Let c(k) = 2*k**2. Determine a(c(y)).\nAnswer: 9324*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49798 - 48412 = -854*t for t.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -2*z, 5*a = -4*z + 2*z. Suppose x - 2 + 0 = a. 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: Divide -9440 by 11.\nAnswer: -9440\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(3\/3)*19. Let k = 21 + r. Suppose -k*n - 92 + 58 = 0. Is n != -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 3*b = -18, -24 = -2*z - 3*z + b for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -6*o + 9*o. Let u(q) be the first derivative of -39 + 3*q - 9\/2*q**2 - 1\/3*q**3. Calculate u(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23141129 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 0. Suppose 4*w - 2 - 10 = j. Differentiate 0*z**3 + 2 + 0 - z**w wrt z.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(5\/2)*k)\/(k**(-1\/3)\/k))\/(k**0)**32 assuming k is positive.\nAnswer: k**(29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -262*s. Let i(h) = 24*h. Give m(i(z)).\nAnswer: -6288*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -59421 (base 13) to base 12.\nAnswer: -7a5a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/9 + 7*i**2\/3 + 11*i - 121\/9.\nAnswer: (i - 1)*(i + 11)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9 - 9)\/(2*-1). Suppose -2*l + 9 = -5*k, u*l + l - 6 = 4*k. What is the smallest value in -12, -6\/7, k?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6965361?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*l + 2*b + 1, 0 = 2*l + 5*b - 10. Let p(t) = -56*t**3 - t + 1. Let j be p(1). Let f = 58 + j. Solve l = k - 5, -k = 3*o - f*k - 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 49123.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28524 is divided by 1097?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 451147 to the nearest integer?\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1035, -2, -20219 in decreasing order.\nAnswer: -2, -1035, -20219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, 64\/9, -0.5?\nAnswer: 64\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(1700)*2 + sqrt(1700).\nAnswer: -2 + 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - 3*u + 1. Let p be k(3). Let o = 21 + p. Let c = -40 - -56. Calculate the greatest common factor of o and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*l**2 - 8*l**2 + 6*l**2 + 20*l**2.\nAnswer: 35*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5564439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 4:28 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -13666 (b) -35 (c) -2\/17 (d) 0 (e) 0.4 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/120 and 89\/141720?\nAnswer: 141720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -480 + 447 - ((-31 - -18) + -3 + (0 - -1))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1168 is divided by 237?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, n: 2, k: 2, q: 1, d: 1, t: 1}. What is prob of sequence nnwt?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.5 (b) 5.18 (c) 63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -4*x**4\/3 - 8*x**3\/3 + 4*x**2\/3 + 8*x\/3 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 64e (base 15) in base 10?\nAnswer: 1424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of 3*b**2\/2 - 55*b + 1041. Determine z(21).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*n - 23*n**3 + 14971 - 29912 + 14941.\nAnswer: -23*n**3 + 10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2632303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (9\/3 - 15). Let o be 7*q\/(-21)*-6. Let g be (-12)\/(-7) - 2\/(-7). Solve -x + 12 = -2*x + g*n, -o = 5*x - n for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-15))\/((-12)\/(-15))*(-64)\/176.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**2 - 121*n - 361. Is y(-32) a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*t + 0*t = 21, -15 = -n - 3*t. Let o = 3 - 0. Let r = n - o. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.1 (b) -62973 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 100, -12, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**3 - 44*x**2 + 243*x - 21. Calculate v(11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -6*x + 3*a + 9, -5*a + 12 = 4*x. Suppose -4*t + 812 = -4*k, -t + 2*k - 414 = -x*t. What are the prime factors of t?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1\/4, 18 in decreasing order.\nAnswer: 18, 1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1963\/2 - -4881\/5. Let b = -337\/2 + 176. What is the common denominator of b and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9104\/10 + (-2)\/(30\/(-9)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -681*b**3*w**3 - 21122*b**3*w**2 - b**3*w - 215*b**3 + b - 185*w + 3 wrt w?\nAnswer: -4086*b**3*w - 42244*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/1 + 252\/42 + -13.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 - -2323201?\nAnswer: 2323144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**3 + 4*s**4 - s**3 + (2*s**3 + 2*s**3 - 2*s**3)*(-2 - 2*s + 2) + (-14*s - 6*s + s)*(-2*s**3 + 0*s**2 + 0*s**2).\nAnswer: 38*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/24762 and 143\/24762.\nAnswer: 24762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19961*k**4*s**2 + k**3*s**3 - 2*s**3 + 4*s**2 - 161 wrt k?\nAnswer: 79844*k**3*s**2 + 3*k**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 5:00 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 37 = 3*k, k + 2*k + 2*w + 49 = 0. Let a(b) = b**3 + 17*b**2 + 28*b - 8. What is the remainder when 40 is divided by a(k)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/(-3)*(446\/14 + -1). Suppose 136*g = f*g - 224. Calculate the smallest common multiple of g and (-6)\/21 + 156\/7.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10358203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 23, 63, 113, 167, 219, 263, 293, 303?\n\"Answer: -k**3 + 11*k**2 + 14*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 6:14 AM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 309*v = 301*v + 64. Find the first derivative of -85 - 2*t - v*t**2 - 20 - 23*t**4 + 8*t**2 wrt t.\nAnswer: -92*t**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 128 + 2 - (15 + 5 + -11 - (-69 - -63)).\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of 0 + 0*r**2 - 1\/2*r**3 + 106*r. Let a(b) = 224*b**2. Calculate a(j(m)).\nAnswer: 2016*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 8*k**2 + 136*k - 272. Determine r(2).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 c, and 1 n when three letters picked without replacement from {n: 4, c: 7, s: 2, m: 1}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + k - 1. Let y(o) = o**3 - 5*o**2 + o. Let u(s) = -4*w(s) + y(s). Let p be u(4). Suppose r + 4*r - a - p = 0, -3*r + 26 = -a. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -20 - 15 + 34 - 5*b. Suppose 0*z + 3*z = -9. Let j(l) = -3*l + 8. Let t(n) = -n + 1. Let a(i) = 4*j(i) - 28*t(i). Give z*a(u) - 10*h(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 11, s: 1, t: 1, p: 3, e: 3}. Give prob of sequence ep.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20\/27 + -2\/27. What is the second smallest value in -5, q, 9\/16?\nAnswer: 9\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 0.051?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 1 - (17 - (3 + 16))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39577?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 1)*(-8 - -9) + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -5, 2, -6, -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 2:48 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 12 = 8*d - 4*t, 2*t = -4*d + 16. Suppose 5*v - d*i = -21, -2*v = v + 2*i + 17. Let o(u) = u**3 + 6*u**2 + 2*u - 1. What is o(v)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -11\/3*h**3 + 0*h**4 + 8\/5*h**5 + 0*h + 0*h**2 + 4. Find the third derivative of k(j) wrt j.\nAnswer: 192*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 8. Suppose -61 = -2*j - h*b, 3*b + 30 = 3*j - 51. Suppose 0 = 3*v + 3*p - 6, 4*p = -0*v + 2*v - j. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzkzzzeoekkzskz. What is prob of sequence szke?\nAnswer: 1\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -11.2, -9, -4, 0, -2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-380)\/35)\/((-28)\/49).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c - 1. Let k(y) = -44*y**3 - 31*y**2 + 5*y + 5. Let x(w) = -5*h(w) - k(w). What is the third derivative of x(a) wrt a?\nAnswer: 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 87 + -78. Suppose -20 + 101 = -v*a. Is a != -64\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2*p + 147 = 0, -99*j = -104*j - 4*p + 141. Let o(m) = 7*m - 13. Calculate the remainder when o(10) is divided by j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192)\/(sqrt(18)\/sqrt(3)) - (sqrt(48)\/sqrt(3))\/sqrt(2).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -a1185 (base 14) in base 8?\nAnswer: -1364221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 9*v - 7. Let i be z(-8). Let t be -42670 + (-4)\/(-6)*i*3. Let c = t - -28068. Round c to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 256 and 32.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + (1 - 1))*(-1 + 151). Suppose 2*d + 4*d + s = 0. Let f = -20 - d. Solve 0 = -2*c + f + 1 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46 + 47 + 3*z**5 + 108*z**3 - z**2 - 286*z + 286*z - 5*z**5 wrt z?\nAnswer: -120*z**2 + 648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/11, 0.5, -14, -1\/104?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 435546936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*z - 29*z + 60 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8976905.\nAnswer: 5, 7, 256483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 9:32 PM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + g + 2. Let i be (23\/(-69))\/(1\/9). Let q be (-14)\/i*(495\/63 + -7). Give w(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/2 - 55220*g**2 + 220886*g - 220888.\nAnswer: -(g - 2)**2*(g + 110444)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -655*j**3 - 153*j + 43*j - 57*j.\nAnswer: -655*j**3 - 167*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 23122321023?\nAnswer: 23122321032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4*(-2)\/12 - (-1150)\/15. Suppose 0 = -0*s + 4*s - 328. Suppose -h*g + s*g = 9582. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -c**7\/840 + c**6\/90 - c**5\/40 - 13*c**3\/3 + 13. Let m(d) be the third derivative of i(d). Let h = 23 + -19. What is m(h)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -49786.26 to the nearest 100.\nAnswer: -49800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - -7. Let q be -2 + 8\/y*9. Suppose 0 = x - q*x + 81. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 11*k - 32. Let t be s(4). Let m = t - 19. Which is bigger: m or -8?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 2\/301, 2\/3?\nAnswer: 2\/301","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14\/21*(-45)\/(-6)*7. Suppose 5*k = -2*d + h, 0 = -3*d + 5*d - 10. Are k and 6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 1. Let d(g) = 6*g**3 + 8*g**2 + 4. Let r(a) = -101*a - 1317. Let y be r(-13). What is y*n(i) - d(i)?\nAnswer: -2*i**3 - 8*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*l - 16*l + 20 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.12789 and 5?\nAnswer: 4.87211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.644 and -2?\nAnswer: 2.644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**2 + 26*g - 4. Let l(k) = k**2 + k - 1. Calculate f(o) - 3*l(o).\nAnswer: -o**2 + 23*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 6*d + 7. Let a(o) be the third derivative of -o**3\/6 - 3*o**2. Let y(x) = a(x) - t(x). Differentiate y(n) with respect to n.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d*d**(1\/2)*d*d)**29 assuming d is positive.\nAnswer: d**(319\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 11*u**2 - 29*u - 3. Let a(y) = -25*y**2 - 247*y - 206. Let b be a(-9). Let p(k) = 7*k**2 - 19*k - 2. Calculate b*p(n) + 5*s(n).\nAnswer: -n**2 + 7*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 165042 (base 7) to base 4.\nAnswer: 20002332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 9*t + 43. Give s(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -65326 rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1528 and 671984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*l**3*u*v**2 - 2*l**3*u*v - 6*l**3*v + 3*l**3 + 2*l**2*u - 4*l*v**2 - 2*u*v**2 - 4*v**3 wrt v?\nAnswer: 16*l**3*u - 8*l - 4*u - 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -416 - -416. Which is greater: 1\/44 or w?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1020 - -2575. Suppose -6*u + 5*u - 4*k = -n, -4*u + 4*k = -6280. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*w - 4*w. Let j = 7 + -3. Let p = j - 0. Solve 0 = -y - 4*r + 9*r + p, 12 = 3*y - w*r for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/372 and 145\/84?\nAnswer: 2604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*k**3 + k + 4*k**3 + 7*k**3)*(-k + 4*k - 2*k) as h*k**2 + z*k**4 + s*k + i + u*k**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 242442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -9 + 12 + -8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c + 3*c = -3*x + 3, -4*x + 6 = 2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 368\/19 + -3478\/209. Suppose 3*q - 5 = -a, -4*q - 4*a = -5 + 1. Is q at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 873532504 to the power of 1\/4, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*d + 9, 5*w = 2*d - 3*d + 28. Calculate the common denominator of 109\/20 and (101\/(-28) - 3)*(-2)\/w.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*a - 34*a + 7. Suppose -21 = 4*g + 5*z, -3*g - g - z = 17. Put 17, g, a, -5 in increasing order.\nAnswer: -5, g, a, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29145 divided by -5\nAnswer: -5829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of c**5\/30 + c**4\/2 + 3*c**3 - 85*c**2. Let z be y(-4). Solve z*x = x - 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -163.\nAnswer: 16.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1579176903.976 + 0.09?\nAnswer: -1579176903.886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mamm when four letters picked without replacement from mmmaa?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1554984 by 18.\nAnswer: 86388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1108288 is divided by 60?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36718 is divided by 159.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y*y\/(y\/y**(-2\/7))))**50)**49)**(3\/13) assuming y is positive.\nAnswer: y**(2100\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -41*q**7\/42 + q**3\/3 + 4*q**2 - 4*q - 4. Find the second derivative of d(y) wrt y.\nAnswer: -820*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 0.1 (c) 1.486\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8\/649 - 57681\/6490. Let y = 3225\/1196 + 35\/92. Calculate the common denominator of y and o.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 33*j**2 - 9*j - 64*j**2 - 14 + 32*j**2. Suppose -13*p + 125 = -18. Calculate g(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12586 and 232?\nAnswer: 50344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from dddndnddddnnddddddnd?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 62*v**3 - 41*v**2 + 14090 wrt v.\nAnswer: 186*v**2 - 82*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.3 * 4701.\nAnswer: 10812.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + -3 + 9 - 468\/(-72)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f. Let o = 19 + -17. Let c(a) be the third derivative of -2*a**o - 1\/12*a**4 + 0 + 0*a + 0*a**3. Determine c(r(q)).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 25 + 18 + 25 + -65\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 126762 to the power of 1\/2, to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bhxbpvv. What is prob of picking 2 v and 1 p?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 1, -1\/13, 4, -1\/10 in descending order.\nAnswer: 4, 1, 0.4, -1\/13, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58 - 38. Let p be 7 + -4 + (-1 - -28). What is the highest common divisor of g and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38.016 - -0.016. Let z = -458385317 - -458385355.0000023. Let g = j + z. Round g to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**3 + 5 + 3*i**2 + 3*i**3 - 2*i**2 + 0*i**3 to the form h + c*i**3 + n*i**2 + s*i and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + 6*p - 19. Give l(-15).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 7*l + 57. Determine v(-10).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 10*c**3 - 6*c**2 + 4*c. Determine l(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2472750 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -4*a**3 - 11*a**2 - 17*a + 17. Let y(q) = q**3 + 4*q**2 + 6*q - 6. Suppose 9*d + 25 = 5*s + 10*d, -3*s = 4*d + 2. Give s*g(i) + 17*y(i).\nAnswer: -7*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005519608 rounded to seven decimal places?\nAnswer: 0.0000552","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -999*g**2*p**2 - 343583*g**2*p*v - 13*p**2*v + 2*p**2 + p*v - p - 151544*v - 7 wrt g?\nAnswer: -1998*g*p**2 - 687166*g*p*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*n + 27 = -7, -n - 34 = -4*t. Let c = t + 20. Suppose 4*k - x - 2 = 33, -3*k - x = -c. What is the smallest common multiple of 4 and k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9*(-8)\/240)\/(24\/(-10)). Which is the fourth smallest value? (a) g (b) 1\/6 (c) 16 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67728?\nAnswer: 2, 3, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10094852 to the power of 1\/3, to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -3*p - 42, 3*p - 16 = 3*n - 40 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33477623?\nAnswer: 727, 46049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 20 - (6 - -2) - -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 441 and -0.269.\nAnswer: 440.731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 5:08 AM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7697 + 2 + 4\/(-4). Suppose 0 = g - 3*g + 4*m + p, 19190 = 5*g + m. What are the prime factors of g\/99 + 2\/9?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 (base 6) in base 9?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) -2 (b) -111 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -135653799*y + 251886965?\nAnswer: -135653799","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-48)\/(-8)*(-7)\/(-2). Let u = c - 7. Calculate the least common multiple of u and 24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1463*m**2 + 10*m + 257*m**2 - 17*m + 6*m - 101*m**2 to the form z*m + o*m**2 + d and give o.\nAnswer: -1307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3428*a = -5*s - 3430*a - 10, 0 = s + 3*a - 11 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 + 1087 - 2175 + 1088.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 444796?\nAnswer: 2, 11, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-18)\/q)**(-29) assuming q is positive.\nAnswer: q**551","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17107125 and 365295?\nAnswer: 5145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -77461936 + 9\nAnswer: -77461927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46455 = 6*k - 1785. Suppose 0 = 13*a - 3*a - k. What are the prime factors of a?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72)\/(-960)*-24*10.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**2\/2 - 1497087*r = 0.\nAnswer: -2994174, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -284565*n - 18496726. Determine t(-65).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48900 - 157.68525.\nAnswer: -49057.68525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3850057 and 8942.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -g**7\/70 + g**5\/15 + 25*g**2. What is the third derivative of h(p) wrt p?\nAnswer: -72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 2*d + 1206, -3*d + 676 = 2*j - 510. Let q be 1\/(-7) + 102270\/(-294). Let f = j + q. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*b**3 + 19*b**3 + 25*b**3 - 100*b**3.\nAnswer: -99*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 203313*h**3 - 6*h**2 + 44*h - 9?\nAnswer: 1219878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 147744 and 456?\nAnswer: 147744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8202*y - 10935 = 9417*y for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 1. Suppose b - 3*b + 40 = f. Let i(h) = -2*h - 4. What is the least common multiple of b and i(-6)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 538031375.\nAnswer: 5, 7, 614893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*j - 11. Suppose 4*s + 2*c = -60, j*c - 84 = 4*s - 10. What is the units digit of s\/(-6) + 2\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -448 smaller than -5812\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -6*u + 7. Give h(-5).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 12, q: 3}. What is prob of sequence aqaa?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 + -23. Solve b*w = 3*l - 4*w - 11, 2*l = 4*w + 10 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2)*x**(2\/13)*x)\/(x**(-5)*x**(-1\/3)))\/((x\/(x**(-2\/5)*x))**(2\/9)*x*x*x**3*x*x**(1\/5)) assuming x is positive.\nAnswer: x**(-1054\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 5) in base 13?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 6)*(531 - 531 - 44*h) in the form y*h + z and give y.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 5 + 7. What is the units digit of 3\/(j\/4) - -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 249 - 96. Let p = a - -123. What is the smallest common multiple of 32 and p?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4*n**3 - 736*n**2 + 11*n - 2035. Determine j(184).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (((-90)\/25)\/6)\/((-6)\/(-4))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, n: 1, h: 1, d: 2}. Give prob of sequence xn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 1113910*c. Let h(f) = -2*f - 284. Give r(h(p)).\nAnswer: -2227820*p - 316350440","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 257\/((-1 - -3)\/2). Let t = m + -173. Suppose 3*i + c = t, -80 = -4*i + 2*c + 42. List the prime factors of i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3992*i**2 - 21*i - 104. Let d be u(-12). What is d rounded to the nearest ten thousand?\nAnswer: -570000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46b (base 12) to base 3\nAnswer: -220102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44033*d**2 - 1566*d.\nAnswer: -88066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 77*i - 83*i. Put -2, i, -25 in descending order.\nAnswer: -2, i, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1028 - 11.\nAnswer: -1039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -4*a - 88, 2*a + 0*a = 0. Let q be 228\/44 - (-4)\/p. Suppose -g = -q*g + 28. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -3*d + 852, -d = -2*z - 5*d + 416. Let i = z - -357. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 5*i**2 + 9*i - 4. Let c be m(6). Solve -3*t = -a - c, a + t = -a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 14703 and 14196 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 4*h + 38. Calculate the remainder when 111 is divided by v(0).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**3 + 32838*m - 65671*m + 32833*m.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -4 + 1 + 2 - i**2. Calculate u(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - -11) + 11 - 10.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/913406 and 39\/110.\nAnswer: 50237330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 34, 50, 70?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3761536 or -3761539?\nAnswer: -3761539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 244063 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: Suppose -4*w - 2*m - 3*m + 247 = 0, -2*w + 4*m = -130. Suppose w = 8*t - 4*t + f, 4*f + 71 = 3*t. Suppose -7*l + 11 = -t. Solve 2*h = h + l for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 90 and -0.05.\nAnswer: -4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -31*q - 96. What is the second smallest value in q, -1\/4, -2.31, -0.2?\nAnswer: -2.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -76 + 78. Let u(y) be the third derivative of 3*y**g + 7\/6*y**3 + 1\/24*y**4 + 0*y + 0. What is u(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m - 4*m + 5*m)*(-1 - 1 + 1) - 3*m + 2*m - m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -11.99. Let n = 641\/1810 + -46\/181. What is the second smallest value in u, 2, n, 7\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**3 + 2*t**2 + 33*t - 34. Let j be f(1). What is the smallest value in -3, -1749, j?\nAnswer: -1749","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzbj when four letters picked without replacement from {b: 1, z: 2, j: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2\/7, -10, -2\/611, -0.3?\nAnswer: -2\/611","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12405? (a) 4\/5 (b) -9 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 10*w**2 + 99*w + 202. Give x(-2).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -63*d. Let f(z) = 28*z**2. What is f(p(x))?\nAnswer: 111132*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 - 15. Let g = c + 44.5. Round g to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*j*q*r*u**3 + j*q*r*u**2 + j*q*u**2 - 2*j*q*u + 3*j*u**2 - q*r - 20*q*u**3 - 2*r*u**3 + 2*u**3 wrt u.\nAnswer: 72*j*q*r - 120*q - 12*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 2815236.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = 3*a - 10, 0 = -a + 9*a - 3*t - 43 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 5. Suppose d*y + 2 - 12 = 0. Let x = -5 + 9. Sort -4, y, x.\nAnswer: -4, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence by when two letters picked without replacement from {c: 6, y: 1, b: 1, w: 3, h: 3}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 1229 + 1069*n - 1229 in the form y + l*n and give l.\nAnswer: 1069","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x - 5. Let a be t(7). What is the first derivative of -29 - 14 + a*z**3 + 26 wrt z?\nAnswer: 27*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 155, 161, 169, 179, 191?\n\"Answer: a**2 + 3*a + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 10:42 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2868 - -2869. Which is smaller: b or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 139. Suppose -4*z + g = 38. Is z a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0040066002 rounded to four decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l\/(l*l*l**(-1\/5)\/l*l*l*l))\/l*l\/((l*l**(-3))\/l))**(-27) assuming l is positive.\nAnswer: l**(-162\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 4*y - 7*y - 31, 4*y = -4. Let k be (-7)\/p - 5\/((-5)\/(-4)). Which is the closest to 0? (a) -3 (b) 2\/13 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -4*s - 10, 2 = -4*s + 36*d - 30*d for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + -1 + 170\/2. Let z = 93 - t. Suppose 3*c - z*s = 2956, -3*c - 1473 = -s - 4409. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -0.17 in descending order.\nAnswer: 2, 1, -0.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7921810.\nAnswer: 2, 5, 13, 60937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/1829 + 1841\/10974. Let w(c) be the second derivative of 7*c + 0 + c**2 - v*c**3. Determine w(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*b**4 + 678*b**3 + 40050*b**2 wrt b?\nAnswer: -168*b + 4068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 171981017 less than 171981019?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, l: 1, i: 1, v: 2}. Give prob of sequence iv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -1614 - 1603 - 3*n + 3211. Let v(a) = -a**2 + a + 1. Determine 3*v(l) + z(l).\nAnswer: -3*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o + 13*o + 12 = 0. What is the smallest common multiple of o and 25?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 31, 54, 77, 100, 123?\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10075 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -13120 divided by 82?\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1582*v**3*w + v**3 + 10*v**2 - 4*v*w - 4*v - 18*w + 48 wrt v.\nAnswer: -9492*v*w + 6*v + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11562*i**2 + 42585*i wrt i.\nAnswer: -23124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -159.2741*-23\nAnswer: 3663.3043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = v - 80. Suppose -1 = j - v. What is the remainder when j is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**3*p**2 + 2006*h**3*p + h*p**2 - 5*h*p - 276 wrt h.\nAnswer: 6*h*p**2 + 12036*h*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 5 - 0) + -1. Let r be 3*-1*(-2)\/p. Which is the third biggest value? (a) -0.5 (b) r (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55937 and 179863.\nAnswer: 76801501","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -60644943 rounded to the nearest one million?\nAnswer: -61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y - 1. Let l(a) = -20*a**2 + 20*a + 20. Suppose -10 = 15*k + 5. Let c(b) = k*l(b) - 20*j(b). Let z(u) = 4*u**2. Calculate c(z(t)).\nAnswer: 320*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 4:54 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + 7. Let n(g) = g**3 - 12*g**2 + 8*g - 9. Let a be n(i). What is the tens digit of (a\/3)\/3 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 5*o + 6*o - 7 - 6*o. Let u(n) = 9*n**2. Calculate the lowest common multiple of u(-1) and t(7).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18180 is divided by 888?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + v = -2*v - 4, c = 4*v + 3. Let j(n) = -3*n**3 - 3*n - 4. Let y be j(c). Solve -5*w + 1 = -4*b - 16, y*b = 5*w - 11 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4761451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 3 = 5*q, -5*k + 2*q = -83 + 68 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 551430 + 5?\nAnswer: 551435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 27\/6 + 2\/4. Suppose g + 4*g = -o. Let b be 4 + -1 + g\/(-1). Solve -b*i - 15 = 1, -2*u - 4*i = 6 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(242) - (2 + sqrt(242) + 0))**2 + -3 + -3*sqrt(242)).\nAnswer: -6 + 198*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15\/20 - 41\/(-4). Let n be 951\/q*(-20)\/(-510). Let i = n - 36\/11. Which is greater: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114 - 13*r - 114.\nAnswer: -13*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -368 = -5*z + q, 0 = -z + 3*z - 2*q - 152. What are the prime factors of z?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7380 and 63468.\nAnswer: 317340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 332*q - 13. Let a be b(2). Let h(c) = 651 - 2*c - a. Let j(z) = -6*z - 3. Let n(m) = -11*m - 5. Let i(t) = 5*j(t) - 3*n(t). What is i(h(v))?\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2257 - 10?\nAnswer: 2247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -178\/8387 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 77586 and 3?\nAnswer: 77586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 5*j - 178. Let m be x(-16). Let k be 4*1*4\/16. Suppose 0 = 3*c - 4*s + 8, -5*c - 2*s - k + 31 = 0. Sort m, c, 0 in descending order.\nAnswer: c, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10367?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i + 7. Let k be v(-8). Let f be (3 - k)*(-3)\/6. Solve d + 15 = f*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.062481287 rounded to 3 decimal places?\nAnswer: 0.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/8652 and 73\/120.\nAnswer: 86520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of 5*v**7\/7 + 2*v**3 + 6. What is the third derivative of b(a) wrt a?\nAnswer: 600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 6*p**2 - 15*p**2 - 10 - p**3 to the form u + c*p**2 + a*p + l*p**3 and give c.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-49)\/(-65) + (15 - (-1560)\/(-100)))\/(-1).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -374*m - 67. Let o(y) = -373*y - 78. Determine 7*g(x) - 6*o(x).\nAnswer: -380*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 11*d**2 + 15*d - 11. Is o(10) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/6768 and 61\/12.\nAnswer: 6768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/58 and -10\/9?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 5 (c) 6 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/((-2*sqrt(108))\/sqrt(12)))\/((sqrt(128) - 2*sqrt(128))*4)*-4.\nAnswer: -sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j. Let a(f) = -10*f + 6. Let p(l) = -2*a(l) + 22*h(l). Let v be p(-7). Factor v*w**5 + 3*w**4 - 14*w**2 - 8*w**4 + 4*w + 18*w**3 - 5*w**4.\nAnswer: 2*w*(w - 2)*(w - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (520\/(-35360))\/(3*3\/36)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2727168 divided by 3392.\nAnswer: -804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 6*m - 2. Let d be j(6). Let x(i) = d*i - i**2 - 12*i - 20*i. Give x(6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 21 = -5*q, -4*k + 0*q = -2*q - 30. Suppose k = 3*g - 2*g. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 + 5*x - 67. Let u be h(6). Suppose u = 3*w + 26. Which is the second smallest value? (a) 0 (b) 10 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/3)*c**(-3\/4))\/(c**(2\/11)\/c**(2\/23)))**(-10) assuming c is positive.\nAnswer: c**(2705\/1518)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4*k + 64. Let x be a(12). Solve -x = -10*w - 66 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 11:30 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 774*o**3 + o**2 + 4*o - 1. Let z be v(2). Suppose -4*n + i + 6258 = 1297, 5*n - z = 3*i. List the prime factors of n.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15.854 + 17.854. Let m = -0.1 + -0.2. What is the closest to -2\/3 in -4, 3, m, t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -35186.\nAnswer: 35186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -639?\nAnswer: -4\/639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-6)\/(k*k**(-1)))\/(k*k*k\/k**2*k*k)**(1\/5))\/(k**9\/((k**(2\/27)*k)\/k))**(-18) assuming k is positive.\nAnswer: k**(2311\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.97874 take away 471.7?\nAnswer: -470.72126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -795620 less than or equal to -795648?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2662*i**2 + 5323*i**2 - 2663*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 1 - (7 + 14 - 9) - (-79 - -36)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 3)*(-4*b - 5*b + 4*b)*(1 - 4 + 1).\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6643410 is divided by 1657.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 41 = -43 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u. Let j(z) = -16*z**2 + 9635. Determine w(j(y)).\nAnswer: -16*y**2 + 9635","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.161 to 0 dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xqxaxqexai. Give prob of sequence aqx.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**4\/15 - 6*t**3\/5 - 68*t**2\/15 - 16*t\/5 = 0. Calculate t.\nAnswer: -2, -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 73*q**2 - 288. What is the thousands digit of g(-76)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 740 + -515. Suppose -654 + v = -3*o. Suppose 4*n + 23 - o = 0. Is n a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 404362?\nAnswer: -404363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*(1 + 4\/(-2)). Let g be 1 + 2 + n - -2. Suppose -4*d = -g + 9. Sort -4, 4, d in ascending order.\nAnswer: -4, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b + 6. Calculate the remainder when f(-5) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i + i**2 + 2 + i - 3*i. Let m(g) = -10 + 4*g + 6*g**2 - g**2 + 19. Determine 9*d(c) - 2*m(c).\nAnswer: -c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence apo when three letters picked without replacement from ppapaaaoapapapaaapp.\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -461 - -479. Calculate the greatest common factor of u and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 8*f**2 + 14. What is r(6)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3778 = -4*t - 11558, -t = 2*i - 7683. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 17*y**2 - 20*y + 17. Let i be a(-18). Let f = -49 + i. Suppose -5*v - 2*d + 1623 = -6*d, f*v - 1284 = -4*d. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -4*r**2 + r + 1. Let q = 47 + -37. Suppose -q*x - 5 = -5*x. Determine p(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1474\/121 + (-3)\/2*8\/66?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/5284531 and 70\/3.\nAnswer: 15853593","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 226561 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 121 and 1111?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 5:56 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 802. Let h(r) = -25526*r - 1. Determine h(i(u)).\nAnswer: -25526*u**2 + 20471851","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 51.01 - 0.01. Let k = 55 - y. Let f = -123\/856 - -2\/107. What is the second biggest value in -1\/3, k, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, 61, -0.093?\nAnswer: -0.093","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k - 2*k - 35 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t - t**3 + 0*t**3 + 4*t to w*t**2 + f + n*t + s*t**3 and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 689 divide 2853838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2639 + 2700. Calculate the remainder when 3292 is divided by a.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19203252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -64112657894 + 2511933936046621\/39180. Let t = -1\/7836 + k. What is the common denominator of t and 7\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 254, 741, 1518, 2585, 3942, 5589?\nAnswer: 7526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3019398?\nAnswer: 2, 3, 503233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (2 - (-5 - -7))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -393 in 65, 6\/7, 4\/11?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -512*r = -510*r - 4*m - 28, 92 = 3*r - 16*m for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 312*u + 9662574 - 9662574 - 5*u**2 - 312*u.\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*((((w\/w**5)\/w)\/w)\/w)\/w)\/w*w*w*w\/w**5*w*w*w)**21*(w\/(w*w**1))**(1\/4)\/((w*w**(1\/7)\/w)\/((((w**(-4\/3)\/w)\/w)\/w)\/w)) assuming w is positive.\nAnswer: w**(-12829\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*m + 4*m + m + 6*m**5 - 2*m**5 wrt m?\nAnswer: 80*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -86*t**2 + 185*t**2 - 110 - 415 - 101*t**2 + (1 + 2*t - 1)*(-12 + 7*t + 12).\nAnswer: 12*t**2 - 525","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 892*g**2 + 10376*g + 6204 = 0. What is g?\nAnswer: -11, -141\/223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -1 - (-65 + 43).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 130986308 to the nearest integer?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18135, -36274, -54413?\nAnswer: -72552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 232 - 256. What is the common denominator of 1\/21 and j\/216*366\/10?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = m + 3*m. Suppose 0 = -16*a + 25 - 153. Let t = m + a. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1472 and 571320.\nAnswer: 4570560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1651538 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11*b**3*o**2 - 16*b**3*o*r + 2107289*b**2*o**2*r + 3607173*o**2 wrt r?\nAnswer: -16*b**3*o + 2107289*b**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2 + (sqrt(200) + sqrt(200) + ((1 + sqrt(200) - sqrt(200))*1 - sqrt(200)))*1)**2.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 11:47 AM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/96 and 75\/4.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 8 = i, -i + 4 = j - 4*j. Suppose -7*p + 9*p = -8. Sort j, p, -1 in increasing order.\nAnswer: p, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 > 165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -40\/3, -0.04, 0.1, 0, 4\/7?\nAnswer: -40\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 756 and 7857189.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/13 in 0.3, -2, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200649?\nAnswer: 3, 66883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*k**2 + 167*k + 2*k**2 - 51*k - 3*k**2 to the form j*k + o*k**2 + r and give j.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82487706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(272) + sqrt(272) + sqrt(272)*-3 + sqrt(272))**2 - sqrt(272))*2.\nAnswer: -8*sqrt(17) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -18, -54, -136, -288, -534, -898?\n\"Answer: -4*g**3 + g**2 - 11*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 41 - -44140?\nAnswer: 44221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/8249698 and -65\/18.\nAnswer: 74247282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -731*l + 3. Let b(i) = 2*i**2. What is b(h(z))?\nAnswer: 1068722*z**2 - 8772*z + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -2. Let i(b) = 6 + 9 - 31 - b + 6 + 13. Calculate i(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 14. Suppose 0 = -3*s - 2*x + 97, 30*x = 26*x + 20. Calculate the remainder when s is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5*g - 21 = 0, 3*y + 2*g = -2*y + 21. Let b(r) = -r. Let u(d) = -4*d - 2. Let t(q) = -5*b(q) + u(q). Let l be t(3). Sort -1, l, y.\nAnswer: -1, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, -271, 6, -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**4*z - 23*b**4 - b**3*z - 27*b**3 - 13*b**2 - 12*b*z + 11*z wrt b?\nAnswer: -48*b*z - 552*b - 6*z - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 324425 + 3?\nAnswer: 324432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 66 = -59. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 2*q - 2*q)*(6 + 10*q - 6)*(-114*q - 175*q + 79*q).\nAnswer: 2100*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**4 - 72*i**3 - 874*i**2 - 3828*i - 3024 = 0.\nAnswer: -14, -12, -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 5*z**2 + 2*z + 26. What is i(7)?\nAnswer: 285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i**(-2\/7)*i)))**(-35)*(i\/i**(-6\/5))\/(i\/(i*(i\/(i*((i**(2\/7)\/i)\/i)\/i))\/i)))**20 assuming i is positive.\nAnswer: i**(-2952\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 12185.19 minutes?\nAnswer: 731111.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*n = -11, -2*n + 0*n + 13 = 3*c. Let w be 2 + -1 + (0 - c). Suppose 25 + 2 = 3*z. Solve 4*v + 12 = 4*p - w, 2*v + p + z = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3*o - 1)*(2 - 2 - 2*o)*(-1 + 3 - 4) + 2*o + 24*o**2 - 4*o - 61*o**2 to u*o**2 + x*o + n and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 28*n. Let w(s) be the first derivative of 31*s**3\/3 + 1791. Calculate w(y(g)).\nAnswer: 24304*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -159, -157, -155, -153, -151, -149?\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1668364000 to the nearest 1000000.\nAnswer: -1668000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g - 71*g**3 - 3*g + 19 - 12*g.\nAnswer: -71*g**3 - 16*g + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -2*m**2 + 8. Let r(g) = -g**2 + 7*g + 2. Let h be r(6). Let x(l) = -h*l + 5*l + 4*l. Calculate v(x(n)).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-9 - (-3 + -10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -5403*w + 10. Let y(l) = 1837080*l - 3402. Calculate -1701*b(j) - 5*y(j).\nAnswer: 5103*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4 - -2.4. Let v = 4 - k. Let y be (-1)\/3*(-1)\/2. Which is the second biggest value? (a) -3\/2 (b) v (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u. Let s(v) = 4*v + 3. Let a(q) = -6*r(q) - s(q). Let z be a(9). Let k = z - 3. Calculate the remainder when 33 is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (495\/12)\/(6\/16). Suppose 2*h - 7*h = -b. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 86139, 86177, 86243, 86331, 86435?\n\"Answer: -a**3 + 20*a**2 - 15*a + 86135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -273\/8 + 2931\/88. Let w = h + 23\/55. Do w and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*q - 4*q = -105 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(0 - (165\/6 - -3)). Let k = o + -61. Find x such that 2\/5*x**3 + k + 2\/5*x**2 - 2\/5*x**4 - 2\/5*x = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24704*u - 8239*u - 8232*u + 12 - 8236*u.\nAnswer: -3*u + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/2*-6*(-5)\/270.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 4:40 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.12 (b) 1 (c) 0.0649\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3633*x + 16543. Is n(-52) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 120 = 4*h, -4*f + 5*h = 6*h - 110. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -26. Let l(a) = -a**2 - 5*a - 4. Let r be l(d). Calculate the common denominator of (-82)\/(-180) - (-4)\/r and -23\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*y + 3*y + 24. Let z = y + -12. Calculate the common denominator of 47\/12 and (-3 - z)\/((-16)\/(-28)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*z + 16. Suppose 2*j - z = 5*x + 23, -3*j + 62 = 4*x. Suppose -105 = 13*w - j*w. Calculate the highest common divisor of 14 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-4 - -3) + (-2 - (4 + 0)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62025 and 180.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-2) - 7\/(-2). Let r = 0 + -1. Let x = 1 + r. Solve -z*f = 3, 3*k + 3*f - 4 + 1 = x for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 - 3c?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3*r - 8 = -4*r, -5*a = r - 20. Let c be a\/(-14) - 14\/(-49). Solve 3*j - 4*d - 18 = c, 4*j = -3*d + 4 - 5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/91 less than 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 g, and 1 x when three letters picked without replacement from ibigixiwikiwiiiibxgw.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -1165*j**3 - 9*j**2 - 881. Let o(q) = -291*q**3 - 2*q**2 - 220. Let m(r) = 2*b(r) - 9*o(r). Differentiate m(s) with respect to s.\nAnswer: 867*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/20 and 2\/(-7) + (-6)\/(-3304)*17190\/(-135).\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 8:03 AM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 53, 4, -4 in decreasing order.\nAnswer: 53, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - b29?\nAnswer: -b28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of i**3 + 7*i**2\/2 - 1830. Let r(j) = -6*j**2 - 13*j. Give 9*b(o) + 4*r(o).\nAnswer: 3*o**2 + 11*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10996\/60357 + 2\/5487. What is the second smallest value in -1\/4, 1\/6, 1\/3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.080505 or 335?\nAnswer: 335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*y = 19*y - 10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3450 and 92990.\nAnswer: 32081550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6361056108 to the power of 1\/3, to the nearest integer?\nAnswer: 1853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2 = 4*m, -2*m - 6*s = -2*s - 4. Suppose 5*g + 5*y - 180 = 0, m = -5*g - 0*y + 4*y + 153. Solve -4*t - 5*k + 10 = 0, -8*k - g = -5*t - 4*k for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*s + 20 = 0. Suppose -16 = -w - p, -s*w - 4*p + 4 = -5*w. Let t be 0\/(2 - 0) - -5. Solve t*x + w = x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2875908 + 42?\nAnswer: -2875866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160*j + 866*j - 155*j - 132*j - 193*j - 156*j.\nAnswer: 70*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*r = -119, -3*q + 42 = 5*r - 43. Suppose 2*g - g + 5*k = q, 0 = 5*g - 3*k + 15. Suppose g = 3*b - 0*b - 9. Solve 0 = -5*t + b + 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -203*r**2 + 4*r - 6. Let v be s(3). Let o = 3094 + v. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*1*(-2 + sqrt(833))**2.\nAnswer: -3348 + 112*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 188 - d**2 + 2*d - 819*d**4 - 836*d**4 + 1657*d**4 + 0*d to the form c*d**4 + b*d + f*d**2 + a*d**3 + i and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c - -cd?\nAnswer: b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 87768349*n**3 - 80325*n**2 - 104*n.\nAnswer: 526610094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4252*z - 1424*z + 8 - 4 + (0 - 1 + 3)*(-2*z - 3 + 3) to p + m*z and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28242?\nAnswer: 2, 3, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100011010010 - -11?\nAnswer: 10100011010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84491*t**3 + 83632*t**3 + 1 + 1 - 2.\nAnswer: -859*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50 + -51. Let n = 0.4 - 0.5. Let f(d) = d**3 + 6*d**2 + 5*d + 3. Let o be f(-5). Sort n, s, o in decreasing order.\nAnswer: o, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 4*d + 96 = 136, 3*d - 21 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -26858.\nAnswer: -3\/26858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/70)\/(11\/55).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/484*-11*3\/((-18)\/32)?\nAnswer: -28\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001000110110110110 (base 2) in base 10?\nAnswer: -560566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 2*w**2 - 4*w - 2. Determine t(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -1 + 3 - 33*v - 1. Suppose -f + 24*f + 69 = 0. What is the remainder when i(f) is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2 = -2*h. Suppose 5 + 5 = -2*m, -5*m - 41 = -h*a. What is the highest common factor of 2 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1467 = -5*k - 92. Let v = 3008 + -983. Let y = v + k. What is y rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04112484 to 4 decimal places.\nAnswer: -0.0411","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1408 is divided by 551?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 1264 = 4*s - s, -3*s - 4*l = 1259. Let q = -180 - s. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*f + 9. Let a be (-3 + f)*(3 - 5). Let d(v) = -2*v - 1 - 3*v + 4*v. What is d(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.7 - 2.85?\nAnswer: 8.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053)*-1*-1 + sqrt(1053) + 0 + -3)**2 + -5*(2 + sqrt(117)) + -2)*-3*3.\nAnswer: -37881 + 1107*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4767150 and 156300?\nAnswer: 9534300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 23 - 93. Suppose 17*r = d*r. Let s be (-182)\/(-7) + (1 - r). What is the greatest common factor of 9 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114\/(-57)*7\/2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -940 - 3262 = -1388*i - 810 + 772 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-13)\/(-4) + -3 + (-1)\/4. Let i = 0.97 - 5.97. Which is the closest to m? (a) i (b) 0.4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 2061, 8306, 18719, 33300?\nAnswer: 52049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 8 + 6*z + 3*z - 6*z + 7. Let n be h(-6). Let v = 7 - 11. Which is the closest to 2\/3? (a) v (b) 0.5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c**4\/5 + 56806526*c**3\/5 - 35855350108908*c**2 + 188594281180948220136*c\/5 - 62864740474012561264\/5 = 0. What is c?\nAnswer: 1\/3, 3155918","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/(-14)*3*(-210)\/(-1188). Let j = 2\/33 - l. Let w = -12 + 8. Which is the nearest to j? (a) w (b) 0.5 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32*t**3 + 217*t wrt t?\nAnswer: -192*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-76))\/(30*1 - 38931\/1366).\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 5*j - 3*n, 4*j = 3*n. Let c(x) = x**2 + 9*x + 19. Let p be c(-5). What is the closest to p in -1\/3, j, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y = 12*y - 7. Let x = -4 + y. Let r be 1\/2 - (x - 1). Which is the third biggest value? (a) 2\/3 (b) r (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2712.827 to the nearest one hundred.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a kilogram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*g**2 - 3*g**4 + 2*g**4 - 17*g**2 - 2 + 2*g in the form i*g**3 + y + o*g**2 + m*g**4 + d*g and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 92 + -86.92. Let z = -0.08 + d. Sort z, -3, 0.1 in decreasing order.\nAnswer: z, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + -22. Let f be 1\/((3\/(-6))\/((-1)\/u)). Let y(a) = a. Let i(z) be the first derivative of 2*z**3\/3 + 2*z**2 + 3*z + 1. Calculate f*i(c) + 4*y(c).\nAnswer: -2*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1233030 is divided by 205499?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.554 to 2 dps.\nAnswer: 0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 36707730?\nAnswer: 73415460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4 = -0. Suppose -a*g + 16 = -2*g. Is g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 34 + 1301501?\nAnswer: 1301535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287645985 is divided by 183.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46 and 1035?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1\/x)\/x**3*(x*x**1)**21*((x\/(x*(((x\/(x\/(x\/x**(-2\/5)))*x)\/x)\/x)\/x))\/x**(2\/17))**9 assuming x is positive.\nAnswer: x**(3684\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8662975?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -524600 divided by -65575.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 51\/8 of a century?\nAnswer: 7650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 30\/4 - (-6)\/12. Suppose 4*q + r = -2*b, -23 = -4*b - 0*b + 5*q. Sort -18, b, 1 in decreasing order.\nAnswer: b, 1, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 + 152 = 10*k. What is the common denominator of 221\/390*(k - 1) and -19\/33?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}