diff --git "a/data/dm_maths/full_data/1312_11255.jsonl" "b/data/dm_maths/full_data/1312_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1312_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 3*s + 62 = -22. Let u = 49 + s. Solve -5*g + 0*t - 11 = 4*t, -5*g + 4*t + u = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64 by 4.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -927517341832 - -0.16?\nAnswer: -927517341831.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -7) + 2 + -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6016\/14 + 2*3\/21. Suppose -3*q - k = 2*q. What is the units digit of -1*((-2)\/(-2) + q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 277*a**2*t**3 + 32*a*t**2 + t**3 - 16589*t**2 - 2*t with respect to a.\nAnswer: 554*a*t**3 + 32*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 187262533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + j**2 + j + 5. Let i be r(0). Suppose 7*v = i*l + 3*v + 2, -v + 4 = -3*l. Is 4 a factor of (-90)\/(-12) - 3\/l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*3.15.\nAnswer: 0.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*r - 152 = 0. Suppose r = 5*p - 6*y + 3*y, 4*y = 3*p - 14. Let x = 18 - p. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 5244627.\nAnswer: 15733881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - t = 10, -17*c = -20*c + 4*t + 14 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 6*h + 10. Let s be y(7). Suppose s*b - 155 = 79. Suppose 10*f = 7*f + b. What are the prime factors of f?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 176 = -61. Calculate the remainder when y is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -9*1*3\/(-9). Suppose 8*v = w*v + 20. Is v at least as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 722*s + s**2 + 2 + 3 - 733*s. Let o(t) = 3*t - 1. Let k be o(4). Let q be w(k). Put q, -3, -2 in decreasing order.\nAnswer: q, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 12*y**2 - 11*y - 3. Let r be k(-11). Let p = -1 - r. What is the second derivative of -h**3 + p*h**3 - 3*h + h**3 wrt h?\nAnswer: 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, -1\/3, -0.1, 23, -55, 5, -0.5?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9416686 + 4402028. Suppose -5*k - 14081286 = m. Round k to the nearest 100000.\nAnswer: -5600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, c: 3, p: 1, w: 3, o: 2}. What is prob of sequence oc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1204 divided by 10.\nAnswer: -602\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by 73\nAnswer: -11\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*c = -7*c - 6, 3*a - 30 = -3*c. Suppose 23 = 3*b - w, -4*w + a*w = -4*b + 35. Solve 8 = k + 5*x - b, -k - 2*x + 7 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d + 6. Let v be a(0). Let u(p) = -3*p - 20. Let k(m) = m + 7. Give v*u(q) + 17*k(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2. Let o(i) be the first derivative of -5*i**3 + 9. What is b(o(h))?\nAnswer: -225*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2411*l**2 + 1. Let g(y) = -y. Determine u(g(h)).\nAnswer: 2411*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -176778 less than or equal to -176784?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.02 and 6?\nAnswer: -18.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from njcncnnnnnj. What is prob of sequence ncjn?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rikvoirkikmommr. Give prob of picking 1 v, 1 m, and 1 i.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -20) + -1 + -18.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of 0*m + 16*m**2 + 7\/30*m**5 + 0 + 0*m**3 + 7\/24*m**4. What is the second derivative of g(r) wrt r?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 134604 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12011 + 12249 = -7*g - 27*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 486717 is divided by 1617.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -20. Suppose 3*n + x + x = 50, -63 = -z*n + x. Suppose -r + n = -22. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -105*z**3 + 6*z**2 - 5*z + 23. Let y(m) = 106*m**3 - 9*m**2 + 6*m - 23. Let g(t) = -3*u(t) - 2*y(t). Find the second derivative of g(k) wrt k.\nAnswer: 618*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194000 = 169*n - 204647 for n.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 314 (base 9) to base 7.\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a micrometer in nanometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 104\/24 + (-8)\/6. Let z(v) = 22*v + 10. Let x be z(-4). What is the common denominator of -37\/12 and -3 - x*-3*q\/(-120)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*q - 6*q - 3*q + 6)*(-1 + 6 - 2).\nAnswer: -3*q + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 8, -1, 6 in ascending order.\nAnswer: -4, -1, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*m**2 + 3*m - 24 = 0.\nAnswer: -1, 8\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4945e3 (base 15) in base 10?\nAnswer: 3507963","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 495649303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5190\/27 + 10\/(-45) + 0. Suppose -4*b + 90 = -p - 105, 4*b - 4*p = q. Does 7 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -5215\nAnswer: -1564.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(2736)*2 + sqrt(2736) + (sqrt(2736) - 2*sqrt(2736)*-2) + sqrt(2736) + (sqrt(2736) + (sqrt(2736) - (0 + sqrt(2736)))*-5 - sqrt(2736)*1*4))**2.\nAnswer: -576*sqrt(19) + 98512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**2. Suppose -9*f = -12*f + 9. Let k(o) = -10*o**2 - 3*o. Let u(i) = 91*i**2 + 26*i. Let p(z) = f*u(z) + 26*k(z). Give p(l(a)).\nAnswer: 52*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/9)*s)\/(s\/s**(-9\/8)) assuming s is positive.\nAnswer: s**(-89\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 89772168 to the power of 1\/3, to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1463, -2924, -4385, -5846, -7307, -8768?\n\"Answer: -1461*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/90*10*(2\/(-6))\/((-712)\/(-249912))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ini when three letters picked without replacement from qqiinimmqqmmqiqmqii?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8 + ((-28)\/4 - -11). Differentiate h*d**3 + 153 + 7*d**4 - 36 - 5*d**4 + 8*d**3 - 9*d**3 with respect to d.\nAnswer: 8*d**3 + 33*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2301886 (base 14) in base 7?\nAnswer: -261515626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in -0.4, 5, -5, 4\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 5*d**2 + d - 1. Let v be n(5). Suppose -11647 = -v*h - 2*f + f, -4*h + 4*f = -11632. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -258 + 481. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 9286 - 2755 = 0. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9046*w = 9027*w + 171 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19134 to the power of 1\/2, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 5*h**2 + 2*h + 2. Suppose b + 1 = -2*j - 11, 4*b = -5*j - 33. Give r(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47848\/27 + -1772. Calculate the common denominator of (-1*1)\/((-22)\/(-32)) and s.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0244 - -92.9756. Let h = 92.99999897 - w. What is h rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 0*s. Let v = 0.0109 - -0.1891. Which is the nearest to 1\/4? (a) 3\/4 (b) v (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -36.44 (b) 0.4 (c) -0.341 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1532 + 120?\nAnswer: -1412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 2*j + 583 - 144, 2*j - 888 = -2*t. What are the prime factors of t?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36340 + -19439. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25410, -25388, -25366, -25350, -25346?\nAnswer: -25360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 3*w - 745, 3*w + 0*w = -4*m - 775. Let x be 80\/(-12)*19\/(m\/12). Solve -x = 3*n - n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 32*f - 69. What is n(28)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 220692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/7106 and 103\/10?\nAnswer: 35530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 11:31 PM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/25340589 and 47\/36.\nAnswer: 101362356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.46622799 rounded to 3 decimal places?\nAnswer: -0.466","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 20*j = -199 + 19, -391 = -k - 2*j - 373 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 875*g = 865*g - 212470. What is g rounded to the nearest 1000?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 1 + 0)*(4 + 1 - 3)*((m + 1 - 1)*(-3 - 2 + 3) + 2*m + 0*m - 4*m + 2*m + 0*m - m) to r*m + w and give r.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of s**3\/21 - 304*s**2\/7 + 92416*s\/7 - 1856. Factor o(c).\nAnswer: (c - 304)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2524, 19851, 66832, 158293, 309060?\n\"Answer: 2471*j**3 + j**2 + 27*j + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 1193 - 76 = 0. Let d = 146 - k. Factor 3\/2*h**4 + 3\/8*h**d + 27\/8*h - 3\/4*h**3 + 0 - 9\/2*h**2.\nAnswer: 3*h*(h - 1)**2*(h + 3)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**3 - 298*b + b**2 + 4*b**4 + 300*b - b**4 + 2 to l*b**4 + p + d*b**2 + n*b**3 + i*b and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14419d (base 16) to base 15.\nAnswer: -1b3512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - (-95)\/(-30) - (9 + (-339)\/36). Which is the nearest to -5? (a) 0.13 (b) 0.1 (c) -3 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.17 + 0.38. Let a = 0.07 - o. Let z = a - -0.1399999. Round z to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 49183209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: 17*-1251007\nAnswer: -21267119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + -1441.0852089.\nAnswer: -1440.5852089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d = -4*j + 72, -d - j + 354 - 61 = 275 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 37407373 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.7 + -36.3. Let t = 42.34 + i. Let b = 0.33999845 - t. Round b to 7 dps.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 4*w + 13. Calculate the lowest common multiple of 170 and h(5).\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qarvboq. Give prob of picking 1 b, 1 q, and 1 v.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2718 - 0.9861. What is r rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -124*h - 240. Let q = -194 + 189. Does 10 divide z(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2. Let n(d) = -37612*d**2. Give n(h(o)).\nAnswer: -37612*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 2*d**2 + 4*d - 2. Let n be g(-3). Let x be (-24)\/n - (-36)\/(-45). Solve -2 - 2 = x*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g - 5. Let h(v) = -v - 1. Let i = 62 - 65. Calculate i*h(r) + s(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25.4 + 9.8. Let r = m + -34. Let d = -1.20000263 + r. Round d to seven dps.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 7:17 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/40 and 99\/55808.\nAnswer: 279040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -85*l**3 - 10*l**2 + 52*l + 366. What is the units digit of y(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2469979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2\/11, -3\/7, 1193, 0.4 in increasing order.\nAnswer: -3\/7, -2\/11, 0.4, 2, 1193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26287\/4 + -5943. Let y = -644 + p. Find the common denominator of y and -67\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/4 of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22127507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001068093766 rounded to six dps?\nAnswer: 0.001068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**2 + 0*s + 0*s + (3 - 2 - 3)*(-1 + 1 + 2*s**2) + (s**2 + 0 + 0)*(0 + 4 - 9).\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -16*w**2 - 45*w + 3. Determine x(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a gram in micrograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -114*i**2*s**3 + 2*i**2*s**2 + 2*i**2*s*y + 4*i**2*y - 71*i*s**3*y - 63*i*s**2 + s**3 - 13*s*y wrt s?\nAnswer: -684*i**2 - 426*i*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 16*u**2 + 2*u - 26. What is v(16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 69*i - 6 - 152*i + 79*i. Let p(r) = -2*r + 5. Let y(s) = 1 + 3 + 3*s - 4*s. Let v(k) = 2*p(k) - 3*y(k). Determine 2*n(x) - 7*v(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 + 2 - a + a)*(0 + a + 0).\nAnswer: 2*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -24 + 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35486?\nAnswer: 2, 11, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i + 3 = -7 - 4, 0*i = -2*b + 2*i for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/3)\/d)**(15\/8) assuming d is positive.\nAnswer: d**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 e when three letters picked without replacement from {v: 1, z: 2, j: 1, e: 1, w: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -5271176 greater than or equal to -5271178?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + f = 2*r - 24, 0 = -5*f. Suppose 0 = -15*s + r*s + 249. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((s**(-4)*s)\/s)\/s*s)\/s)\/s)\/(s\/(s\/(s\/s**7)*s))*(s*s**(-3\/4)*s*s)\/(s*s**(-1\/17)) assuming s is positive.\nAnswer: s**(157\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*a + 232*a - 12012 = -53*a for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-3 - 0) - 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.94497261 * 2\nAnswer: -1.88994522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3735 is divided by 269.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 874280\/41727 + (-5)\/(-7) + -8 + (-1)\/(-1)?\nAnswer: 44\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 280*k*q**3 - 2*k*q**2 + 1035*q**3 with respect to k.\nAnswer: 280*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4 = 4*k - 12, -k = 3*b - 15. What is the second derivative of -b*t**3 + 3*t**3 + 78*t - 96*t wrt t?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from saswwmsmmmmwmmtxwsw. Give prob of sequence xmm.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-1 + 2)\/((-1)\/(-11)) and 14\/(6 - (-15)\/(-6)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6491 - -6496. Solve -k + 3*l = 0, -b*k + 37*l = 36*l for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 40.5478?\nAnswer: -121.6434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(182)\/(sqrt(63)\/(sqrt(9)*2 + sqrt(9))))\/(1*-5*sqrt(32)).\nAnswer: -3*sqrt(13)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -70.4701 or -12?\nAnswer: -70.4701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2 + 183 + -203 + 5 + -1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -h**4\/12 + 4*h**3\/3 - 6*h**2. Let v be j(0). Find the third derivative of -5*x**5 + v*x**2 - 7*x**6 - 4*x**5 + 9*x**5 wrt x.\nAnswer: -840*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 410282*m = 410185*m + 3298 for m.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 7*b**2 + 3*b + 2. Let r be o(3). Let w = -9 + 7. List the prime factors of (w\/(-5))\/((-1)\/r).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40399345.\nAnswer: 5, 7, 1154267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: What is 0.2795043 millennia in years?\nAnswer: 279.5043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*sqrt(132)*-1)\/(3*sqrt(300)*2).\nAnswer: -sqrt(11)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7341?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2218324?\nAnswer: 2, 71, 73, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**3 + 31*t**2 - 14*t + 39. Let d be b(-16). Suppose 560 = d*h - 1582. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.95 - 2. Let s = 28712\/71305 + -38\/14261. What is the closest to s in m, -2\/7, -1\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1047327223 to three dps.\nAnswer: 0.105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122 - 176*x + 342*x - 168*x.\nAnswer: -2*x + 122","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**3 - 13*p**2 - 7*p. Let n be v(-6). Solve k - n = -k - 2*h, 2*k + 3*h - 6 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 3*k + n, 3*k + 2*n + 199 = 210 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 241510186.1 to the nearest 100000.\nAnswer: 241500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 536 - 495. Let r(n) = 72*n - 32*n - b*n - 12. What is r(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1624902557 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 3 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 122384670 divided by -24476934\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 43 + 65 = 0. What is the remainder when 109 is divided by i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 280 = -4*q. List the prime factors of q.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 29 (b) -522 (c) -1\/435\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2480?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 128 and 54042448.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f**2 - 9 + 9 + 5*f**2 to u + v*f + b*f**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2753337.\nAnswer: 3, 17, 53987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -507*g + 525*g + 104 = 14 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 12 - 20. Let f = u - 11. Let c be 2\/f - 464\/(-40). Calculate the greatest common divisor of c and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (50 - 16 - ((-6 - -14) + -13 + -5)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27213 to the power of 1\/2, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**2 - 4*n - 6. Let i(y) = y + 1. Give 4*i(p) + j(p).\nAnswer: -2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 y when four letters picked without replacement from {y: 10, g: 6, p: 4}?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -176491.49 to the nearest 10000.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 4*p**2 - 65*p + 16 = 0.\nAnswer: 1\/4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1182\/(-15) - (-8)\/(-40). Let v = f + 82. Solve 10 = 5*r + 2*d, -4*d = -v*r - 3*d + 17 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 + 148 = 5*f. Let k = f + -40. Let u(x) = -2*x - 4. Let d be u(-3). Put k, 5, d in decreasing order.\nAnswer: 5, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 3*s**3 - s**4 + 1967*s**2 - 2007*s**2 - 3*s**3 + 6*s**3 + s to l*s + d + g*s**4 + a*s**2 + z*s**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24759 and 125629?\nAnswer: 3391983","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-6)*g)\/(g\/g**0))**(3\/28) assuming g is positive.\nAnswer: g**(-9\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-219)\/9 + 1)*(-3)\/2. Suppose -8*l = -21 - w. Calculate the remainder when l is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245858556?\nAnswer: 2, 3, 17, 19, 137, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffpfffffffffff. Give prob of sequence fpff.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f - 4*k = -21*f + 1704099988, 3*f = -2*k + 1022460006. What is f rounded to the nearest 1000000?\nAnswer: 341000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 890321245?\nAnswer: 5, 11, 257, 62987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2646 - 20?\nAnswer: 2626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 657 and 81906.\nAnswer: 245718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 256 and 12336.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166653?\nAnswer: 3, 18517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 u when three letters picked without replacement from supsupupuusup?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -53*x + 136*x + 269*x + 19*x + 12614 for x.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g = -3*g - 52 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lhhn when four letters picked without replacement from {l: 2, n: 1, r: 1, x: 1, h: 2, g: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/1625 - -252\/1625. Which is the fourth biggest value? (a) 11\/5 (b) 2 (c) -2 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y. Suppose 4*l - 17 + 45 = 0. Let b(v) = -v - 9. Let t be b(l). Let z be i(t). Solve 5*s + 30 = -4*c, -2*c + 2*s = -0 + z for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**3 - 33*z**2 - 185*z - 84 = 0. Calculate z.\nAnswer: -4, -1\/2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1180?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4700 + 4692. What is the nearest to 1\/3 in -1\/3, 0.03, -0.2, v?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w*w**(1\/2))\/w)\/(w**6*w)*w**(2\/7)*w**(-2\/21)*w*w assuming w is positive.\nAnswer: w**(-139\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 1 = -13 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269293 is divided by 33?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 45 - 153. Let s = v + -55. Let u be (-4 - s) + 13 + -1. Calculate the highest common factor of u and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -1.78 (b) -3 (c) 2\/97 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18363 is divided by 18324.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4200, 30, -1, 0, 3, -2 in descending order.\nAnswer: 30, 3, 0, -1, -2, -4200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -391 - -560. Calculate the remainder when d is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -662679\/1157788 - 2\/9337. Find the common denominator of c and -45\/22.\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 - -11. Is 5 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 61*l + 251. Calculate n(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -52960082*i**3 + 61*i**2 + 198077*i?\nAnswer: -317760492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 + 1)*(5*g - 5*g + 8*g**4 + (85*g**2 - 2305 + 2305)*(-4*g**2 - 2*g**2 + 4*g**2)).\nAnswer: -648*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, a: 2, l: 1, i: 2, j: 1}. What is prob of sequence ml?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -a0 (base 14) in base 2?\nAnswer: -10001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4 + 70*j**3 - 776*j**2 + 704*j.\nAnswer: 2*j*(j - 8)*(j - 1)*(j + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1029) + sqrt(1029)*-3*-4 + sqrt(1029))\/(sqrt(84)\/sqrt(7) - (sqrt(192)*-1 - sqrt(192) - sqrt(192)))*5.\nAnswer: 245*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*z + 9. Suppose -z*g = -16 - 64. What is the highest common divisor of 8 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -328*o + 20. Let i be h(0). Solve 0 = 2*q - 3*t - 16, -2*q + 17*t = i*t - 4 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, u: 1, a: 1}. Give prob of sequence wuw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18228 + 91144\/5. Solve -16\/5 + 8\/5*b - 2\/5*b**3 + r*b**2 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6039 and 122.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 4352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.02, -0.2, -5, -12\/31 in ascending order.\nAnswer: -5, -12\/31, -0.2, -0.02, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95 divided by -2.\nAnswer: -95\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -492 + -0.9\nAnswer: -492.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 57 + -53. Is -10 not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5683*r + 255726. Give n(-45).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-12) + 1)*46\/(2760\/(-84)).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1131 - -1138.052. Let s = t - 0.052. Does s = 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0561 - 0.2061. Are c and -0.5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -b**5\/50 - b**4\/5 - 119*b. Factor h(d).\nAnswer: -2*d**2*(d + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 166 - (4 + -1)\/3*-2.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 320 = -2*k. Suppose -3*a = 96 + 39. Let v = a + k. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/9873 and -59\/1265938?\nAnswer: 11393442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) 5 (c) -745\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s + 1. Let l(w) = -3*w + 3. Let o be l(3). Let m be (-56)\/(-26) + o + (-76)\/(-13). Calculate p(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011001 (base 2) to base 9.\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 44 + -47 - 120152\/114. Suppose -6*u + 2*u - 4225 = 3*f, 0 = -5*u - 2*f - 5283. Let t = u - z. Is -1 at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, o: 10, f: 2}. Give prob of sequence ff.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 113523 (base 6) to base 14\nAnswer: 3883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(-9)\/9 + 8. Solve -5 = 7*v - h*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1799, 1802, 1805, 1808?\nAnswer: 1811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 19713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 17*q + 76 = 0, 20*p - 2*q - 10 = 19*p. Let i be -1*(-2)\/4*4. Solve p*r = -3*c - 1, -2*c - 2*r = i*c - 2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 211025584?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-4) + (3\/(-6) - -1). Suppose o + 1 = j, -o + s*o + 3 = 2*j. Solve 0 = -10*r + 8*r - j for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 13\/2*h**3 + 56*h - 1\/2*h**4 - 32 - 30*h**2 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.1 + -5.991. Let z = n - 4.109. Which is the nearest to 0? (a) z (b) -26 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -199 - -81. Let l = i - -255. Suppose 0 = -3*d + 4*z + l, 4*d - 3*z - 171 = -0*z. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 30 - (1 + 0) - (-2)\/1. Let n = m + 19. Is n\/(-2)*(0 + -2 - -1) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -58*g**3 + 3949*g**2 - 278*g - 4224. Determine k(68).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (3 - (-3 + -2 + 8))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 60*o**3 + 222549*o**2\/2 + 51845325*o + 469738125\/2.\nAnswer: 3*(o + 925)**2*(40*o + 183)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2275, -8978, -20151, -35794, -55907, -80490?\n\"Answer: -2235*r**2 + 2*r - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-36)*4*-12. Suppose 4*b - 7*r + 2*r = 0, 0 = -4*b + 3*r + y. Solve -3*o + 3 = -3*q, 10*q + 5*o = b*q + 15 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 12*p**3 + 2455*p**2 + 4889*p - 2. Give a(-2).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of 0*y**4 + 0*y**2 + 1\/6*y**3 + 0*y - 1\/10*y**5 - 61. Suppose t(v) = 0. What is v?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/13)\/((1742\/(-79261))\/((-3)\/252)).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 112705526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 k when two letters picked without replacement from ukukuzuuduzzzzkkktlu.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p + 9. Let s be u(-10). Let h be (-1)\/((-2)\/4) + s. List the prime factors of (h - (-525)\/12)\/((-3)\/(-12)).\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = -2*k - 5*g - 88, 4*g = -4*k - 384. Let s be (-20)\/15 - k\/66. Solve 0*c**4 + 4\/11 - s*c**5 - 4\/11*c**2 + 8\/11*c**3 - 6\/11*c = 0 for c.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 600 and 525.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**4\/9 + 544*c**3\/9 - 1094*c**2\/9 + 548*c\/9 = 0.\nAnswer: -274, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -8. Suppose -3 = -6*q + n*q. Put q, -1, 0 in ascending order.\nAnswer: -1, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 2, 253?\nAnswer: 253","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 24, 109, 250, 447?\n\"Answer: 28*l**2 + l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.9 + 0.1. Suppose -3*m - 21 = -3*t, -6*m + 2*t - 33 = -19. Which is the smallest value? (a) h (b) 5 (c) m (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-450)\/(-250))\/(33\/(-10))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26? (a) 3 (b) -0.1 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 1555164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 + -0.12521?\nAnswer: 48.87479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/808800 and -49\/960?\nAnswer: 1617600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 39951940 to the power of 1\/3, to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 857.7 to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 2. Suppose 3*h + 5 = 8*h. Let r be h - 2\/4*b. Solve r*d = -0*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 5*r - 20, -r - 4*g + 13 = -6*g. Suppose -r = -j + 2. Let y = -3 + j. Calculate the lowest common multiple of 2 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, 1, -5, 2, 28, -26 in decreasing order.\nAnswer: 28, 2, 1, -5, -26, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 4*o - 36 = 0, -3 = 3*o + 6 - 0 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -5*n + 348. Suppose 0 = -y - y + n. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 1:38 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - x**2 - x + 1. Suppose -5*g - 4*o - 50 = 0, -6*g + 3*g = -4*o - 2. Let p(a) = 8*a**3 - 6*a**2 - 7*a + 8. Determine g*m(u) + p(u).\nAnswer: 2*u**3 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -43 > -47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 4. Suppose 0*w + 3*w - 12 = 0. Suppose -6*d = -w*d - 26. Solve -y*c = -d + 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -77995 + 37?\nAnswer: -7795a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6759 is divided by 333?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 693371.\nAnswer: 3466855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 32\/12)*1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 68*a*i**3 + 140*a*i**2 wrt i.\nAnswer: 408*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minus -510982356292?\nAnswer: 510982356354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/434470 and -123\/1610.\nAnswer: 3041290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(6\/(-9)*(-45)\/30)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 31, 28, 25?\n\"Answer: -3*t + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/9 (b) 2 (c) -2\/11 (d) 1.97417 (e) -0.5 (f) -1 (g) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 11*n = 6*n + 49, 2*n = -4*q + 58. What is the highest common divisor of 160 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**2. Let k(h) = -52326*h**2. Calculate y(k(x)).\nAnswer: -5476020552*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -6*c**2 - 601*c + 94. Does 10 divide q(-90)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/1*(-510)\/12580?\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36423?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 4*y = 5 + 3, -5*n + 3*y - 17 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4 - (-5)\/(-10)*-114 is divided by 18.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 + (-248 - (-517 + 263)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2045.000369 + 2045. Round w to six decimal places.\nAnswer: -0.000369","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h**3 - 16 + 0*h**3 + 16*h**3 to i + p*h**3 + j*h + l*h**2 and give p.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*h - 16*h + 34*h + (-2*h + 3*h + h)*(2 + 0 + 1).\nAnswer: 40*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 915440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -10 (b) -0.015 (c) -7 (d) -0.09 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110111100000100101101110 - 101?\nAnswer: 101110111100000100101101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2495714911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73 - 84.278.\nAnswer: -11.278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13200009 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 0, -1, -2, -3, -4, -5?\n\"Answer: -j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**2 + 21*r + 23. Let z be q(-13). What is the greatest common factor of z and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 16*i**2 - 18*i - 2. Let b be t(-17). Suppose 0 = -b*y + 16*y + 3. Sort 3, 14, y in decreasing order.\nAnswer: 14, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -43*f - 11. Let v(y) be the second derivative of 85*y**3\/6 + 21*y**2\/2 - 13*y. Let j(a) = 3*v(a) + 7*z(a). What is the tens digit of j(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 87*b + 16509. What is g(-225)?\nAnswer: -3066","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*r + 0*r + 7*r)*(109 - 71 - 67)*(46*r - 26*r + 11 - 21*r) to the form g*r**2 + q + y*r and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 129911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 17 = 3*b, 2*g - 6 = -3*b + 13. Suppose 9 = 3*f - 3*n, 4*f + 0*n - g*n = 14. Solve -v = v - f for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 18707 = -x, 3*l + 4*x - 5136 = 6079. Is 43 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a day in minutes?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of q**5\/45 - 131*q**4\/18 + 260*q**3\/9 - 2*q**2 + 366*q. Solve t(b) = 0.\nAnswer: 1, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 6) in base 3?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 614 = 21*u - 0*u + 3302. Suppose -2*o = -141 + 397. Is u bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -4*d**3 - 2*d**2 - 14*d - 1. Let q(y) = y**3 + 2*y. What is o(h) + 6*q(h)?\nAnswer: 2*h**3 - 2*h**2 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.17 and -2588.\nAnswer: 439.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12.5 + 12. Let o = 5.89 - -0.11. Let h = o - 2. Sort -5, h, i.\nAnswer: -5, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 176818968?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -4, -1\/4, 1\/2, -0.0439?\nAnswer: -0.0439","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*k + 9. Let w(a) be the first derivative of a**4\/4 + 2*a**3 + 5*a**2\/2 + 4*a - 1. Calculate w(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 times -646977\nAnswer: 5175816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3201551 divided by -3.\nAnswer: 3201551\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14304 is divided by 251?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4*f - 3)*(0 + 2 - 3) + 3*f - f - f + (0 + 4 - 5)*(-f + 0*f + 3*f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 3:41 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 - -47. Suppose m = -3*g + 68. List the prime factors of g.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.5814126 years?\nAnswer: 0.005814126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 3:08 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 597491 is divided by 247.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17.8 + 39.8. What is the second smallest value in l, -1\/6, -1\/5, 0?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40360.\nAnswer: 2, 5, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**3 + 3*d**3 - 2*d**3)*(617*d + 261 + 624*d - 2470*d + 642*d + 629*d).\nAnswer: -42*d**4 - 261*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -179\/10860 and -149\/1740.\nAnswer: 314940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 9:17 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 78*i**6*v - 171*i**4*p + 607167*i**2*p - 2*i**2*v - 2*i*v + 2*p*v wrt i.\nAnswer: 9360*i**3*v - 4104*i*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -892298 divided by 22\nAnswer: -40559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 99304682 to the nearest integer?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (28 + -8)\/(2\/111500). Round a to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 128 or 1669\/13?\nAnswer: 128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-21)*35*10\/150\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -1281389*r + 32034716. Calculate n(25).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70, -72, -74, -76, -78, -80?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 207 = -f - 2*a, -3*f - 5*a = -593. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -1, -1\/27 in descending order.\nAnswer: 3, 0, -1\/27, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 2 - -4*1. Suppose 0 = d*n + 24 - 94. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -19679107238 and -10.\nAnswer: -19679107248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(6\/(30\/(-25))).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y - 7. Let m be i(25). Solve -m*d + 21 = -25*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {s: 2, d: 2, a: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + v + 6 = 0. What is the second derivative of 0*g**2 + 2*g + 0*g**2 - 7*g**2 - v*g wrt g?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2 + 4*x + 2. Let h be k(-2). Suppose -h*z + 4*l + 6 = -0, 5*z - 29 = -4*l. Solve -1 = 2*w - z for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - (1 + -1))\/1. Let u(k) = k**3 + 4*k**2 + k - 4. Let r be u(-3). Suppose -r*v + 6 = 0, -2*y + 21 = 3*y - 3*v. Solve -3*p + y*p = l for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -40*r**3 + 2*r**2 - r - 2. Let d be n(-2). Let i = -239 + d. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (748*q + 54*q**2 - 748*q)*(-2 + 2 + 2*q) + 2*q - 2*q + q**3 - 2*q**3 + 4*q**3 + 0*q**3 + (4*q**2 + 0*q**2 - 3*q**2)*(q + 3*q - 3*q) + q**3 - 4 + 4.\nAnswer: 113*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15990 and 697.\nAnswer: 271830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*w = -124*w - 91*w + 64 + 18 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50944 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(0 + -2) + 1. Let b = 19 - 17. Solve -i - g = b*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 j, and 1 n when three letters picked without replacement from {q: 9, n: 2, k: 1, j: 1}.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**2 + 3*o + 4. Let s be i(4). Suppose 0 = 16*g - 12*g - 108. Let v = s + g. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 90087 - 42628. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/63 (b) -0.5 (c) -4 (d) 4 (e) -1 (f) 42 (g) 2\/9\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 0.15630216876609.\nAnswer: -20.84369783123391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4b2 - -5?\nAnswer: -4ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1445347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, v: 1, w: 1, j: 1, t: 5, k: 4}. Give prob of picking 1 t, 1 j, and 1 w.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 55699445 divided by 1?\nAnswer: 55699445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -314*l + 166 + 705. Let z(d) = 2*d - 5. Let c(g) = 3*g - 6. Calculate l*c(t) - 4*z(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 123.01224453 and -40560.\nAnswer: -40436.98775547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8514, -17027, -25540?\nAnswer: -34053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-5))**29\/(q**4)**42 assuming q is positive.\nAnswer: q**(-313)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 75*h**3 + 270*h**2 + 288*h + 96.\nAnswer: 3*(h + 2)*(5*h + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 g, and 1 t when three letters picked without replacement from etkgeyut?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (34 + -30)*2\/104\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 37 + 162\/(11 - 2). Solve 5*z - l = -20 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 11 = 3*z + 1, 4*m + 5*z + 13 = 0. What are the prime factors of 7\/(m\/(-212)) + (2 - -1)?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1210722320 to the nearest integer?\nAnswer: 34795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -g**5\/10 - g**4\/2 - g**3 - g**2 + 44*g - 51. Let y(a) be the first derivative of j(a). Factor y(c).\nAnswer: -2*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q**3 + q**2 + 2*q + 1. Let t be y(-1). Let j = -0.1 + 0.5. What is the nearest to 1 in j, -2, t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**2 - 1. Let n be f(-1). Let j = 1322 - 1325. Put n, 4, -4, j in descending order.\nAnswer: 4, n, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -1700, -31.\nAnswer: -1700, -31, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54768960 divided by -540.\nAnswer: -101424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8038 + 8037.8. What is the closest to -5 in 5, 1\/4, s, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)\/(sqrt(55)\/sqrt(5)))**2*-1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, g: 17}. Give prob of picking 2 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v*v**(-10)\/v))*v\/v**27*v)\/((v\/(v**9*v)*v)\/v**(-18)) assuming v is positive.\nAnswer: v**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -12648.3 less than -5?\nAnswer: 12643.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -477055 greater than -477088?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 3 + 3)*((-1 + 5 - 1)*(2*y**3 + 2*y**3 - y**3) + 9 - y**3 - 9) to the form c*y + s*y**3 + l + i*y**2 and give s.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14472759 and 413?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 16*p + 166. Let j be z(-10). Suppose j*b - 2*b = 120. Calculate the greatest common divisor of b and 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -5*k - 8*k + 8 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 14, -5, -2, 170, 304, 3 in descending order.\nAnswer: 304, 170, 39, 14, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 331*d**3*m**2 - d**2*m**2 + d**2*m + 113*d wrt d.\nAnswer: 1986*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/6*(-3)\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4286899 to the power of 1\/2, to the nearest integer?\nAnswer: 2070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*11\/(44\/(-14))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 534185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 48*t**2 + 4*t - 4. Suppose 8*k - 4 = 6*k. What are the prime factors of i(k)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4926, 3\/2, -0.3, 2, -0.1 in ascending order.\nAnswer: -4926, -0.3, -0.1, 3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away 4299267?\nAnswer: -4299266.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 210 divide 2909633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -18c3 (base 14) in base 9?\nAnswer: -6131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 6799647*q + 6799645*q = -72, 2*b - 257 = -7*q for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 12:39 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -5, 11, 322 in decreasing order.\nAnswer: 322, 11, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 126889461 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 12*z**2 - 20*z + 3. Let c be h(-10). Let b(k) = -4*k - 15. Let n(p) = -11*p - 45. Let t(m) = c*n(m) - 8*b(m). What is t(-10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29869991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*l + 995568 + 116094 = -71525. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -6*u**2 + 5*u - 5. Let z(d) = 5*d**2 - 4*d + 4. Let x(i) = 4*y(i) + 5*z(i). Let n = 243 - 235. Calculate the least common multiple of n and x(3).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (216\/(-180))\/(8\/10) + 17349\/2.\nAnswer: 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**4 - l**3 + l**2. Let k(x) = 4*x**4 + 9*x**3 + 9*x**2 + 8*x. Let h = 699 + -702. Let b(d) = h*z(d) - k(d). Find g such that b(g) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gjgjjgg. What is prob of picking 2 j?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/33)\/(32\/153). Let j = n - -11\/16. Let o = -2218.1 + 2218. Which is the biggest value? (a) o (b) j (c) 3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**18*f*f**(-1\/5)*f\/f**29*f\/(f*((f*f**(-34)\/f)\/f)\/f) assuming f is positive.\nAnswer: f**(134\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -170, -176, -186, -200?\nAnswer: -218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-260)\/(-6)*66\/55. What is the second derivative of -m*u - 47*u + 90*u - 16*u**2 wrt u?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tpttpttttttpttt. What is prob of sequence tp?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18949 is divided by 444?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4*k - 5 - 4 = 0, -6 = -2*f - 4*k. Let r be (f\/((-9)\/(-10)))\/(8\/1968). Suppose -4*x = 5*n + x - r, 338 = 2*n + 4*x. Does 8 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1800))\/((sqrt(90) + (sqrt(90) - (sqrt(90)*-2 + sqrt(90)) - sqrt(90)))\/sqrt(9) + sqrt(10))*4.\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 4*c**2 - 3. Let t be h(3). Solve -3*v + t*v = -5*l + 6, 0 = 2*v - 3*l - 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, w: 7, k: 3, y: 4}. What is prob of sequence yy?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 1263*q - 195764. Give m(155).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 62 - -7) + (274 - 270).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1192 - -1192. Sort 10, -44, b in ascending order.\nAnswer: -44, b, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1523, 3047, 4571, 6095, 7619, 9143?\n\"Answer: 1524*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -552 + 553. Sort 27, 2, a.\nAnswer: a, 2, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*u = -5*n - 22, -4*u = -4*n - 32. Calculate the remainder when u is divided by (-2 - 0 - -1)*(65 - 68).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3460)\/32 - 13182\/2704?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/98 and -19\/1540.\nAnswer: 10780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) - -1*sqrt(78)*6)\/(sqrt(36)\/(-3*sqrt(6)))*-1.\nAnswer: 21*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-5))\/(6\/30). Which is bigger: -0.01 or z?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 136\/14 + (-2)\/(-7). Let a be ((-6)\/t)\/((-6)\/30). What is the third derivative of 4 - 4 - 10*u**3 + 4*u**2 + 9*u**a wrt u?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 367 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14192, 14191, 14190?\nAnswer: 14189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8798350*m**2 + 6113*m - 3211 wrt m?\nAnswer: 17596700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sl when two letters picked without replacement from slsy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109, -117, -131, -151, -177?\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 141553720 to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32588*c**3*s**3 + 217*c**3 + 17035*c*s**3 + 4*c*s - 4*s**3 wrt c?\nAnswer: 195528*c*s**3 + 1302*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 10*v - 15. What is w(14)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + h - 101, -2*h = -14*t + 13*t + 18. What is the greatest common divisor of t and 3090?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 106 - 106.3. Put 0.2, u, -3, 5 in descending order.\nAnswer: 5, 0.2, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-13)\/((-105560)\/(-144700)) + 18 and -29\/28?\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 11566?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.022 and 0.203?\nAnswer: -0.004466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.54 + -1.24. Are 0 and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 2*s - 2. Let f be j(2). Let o = 5.8 + -4.8. Which is the nearest to o? (a) -0.03 (b) f (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25582155 to the nearest 1000000.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1278303, 2556607, 3834911, 5113215, 6391519?\nAnswer: 7669823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xe when two letters picked without replacement from {x: 1, e: 5, j: 1, l: 4, q: 1, p: 1}?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1342712 + -56?\nAnswer: -1342770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -n**6\/120 + 7*n**5\/20 - 31*n**4\/24 - 9*n**3 - n**2 - 49*n. What is the remainder when 315 is divided by d(19)?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b + 2*b + 6*b**2 - 7*b**2. Let k(w) be the third derivative of 0 + 3*w**2 + 0*w**3 + 0*w + 1\/24*w**4 - 1\/60*w**5. What is -4*k(c) + 5*x(c)?\nAnswer: -c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, 0, -10, -58, -162?\nAnswer: -340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 10*w - 21. Let g = -72 + 76. Let y be j(g). Solve 6 = -0*d + y*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 6:58 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.05979966 rounded to 4 decimal places?\nAnswer: -4.0598","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/77 or -649617?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 51*m**2 - 25*m - 56. What is l(-52)?\nAnswer: -1460","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence msa when three letters picked without replacement from {t: 1, m: 1, s: 1, a: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -16*u**3 - 12*u**2 + 15*u - 14. Suppose 45*o + 55 = 50*o. Let q be c(o). Let a = -10597 - q. Round a to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7592328?\nAnswer: 2, 3, 105449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3.7 and -273.\nAnswer: -269.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -116 (base 9) to base 14\nAnswer: -6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -7*v**3 - 6*v**2 - 43*v + 47. What is h(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(-2*(0 + sqrt(80))*2 + (sqrt(80) + sqrt(80)*-1 + 4)*1) + 3)*3)**2.\nAnswer: -12960*sqrt(5) + 105705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s - 2*s + s + 2*s**2 + 2*s**3 + 8*s as q*s**2 + i + a*s**3 + l*s and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -105 + 105.00083. What is q rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - x**2 + 2*x - 6. Is 2 a factor of j(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 90 = -5*l + 335, 4*l - 326 = -3*b. Suppose -5*u + l - 23 = 5*q, -3*q = -2*u + 49. What is the remainder when 63 is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3881752 and 3.\nAnswer: -3881749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 5 - 17*l**2 + 6 - 6.\nAnswer: -17*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -20, -23, -26, -29, -32?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4 + 18744*u**3 - 43917192*u**2.\nAnswer: -2*u**2*(u - 4686)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 4. Let w be y(3). Let x be 2 + 8\/6 + 3\/(-9). Suppose x*d + u - 4*u - 12 = 0, 2*d - w*u = 11. Solve 2*q - 2*o = 4, q + d*q - 4 = 3*o for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 + 50\/3. Let h = b - -2\/3. What is the nearest to -1 in h, 1, 0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 57 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.99 + -0.01. Let u = 8104.6 - 7402. Let t = 703 - u. What is the closest to m in -5, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3419792693 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of q**8\/1680 - q**5\/24 - 5*q**4\/12 + 12*q. Let s(a) be the third derivative of b(a). Is s(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 8 = 6*t, 4*v = 2*t + 12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-125765)\/37240 - 0 - 5. Let m = 2\/931 + j. What is the common denominator of -31\/10 and m?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -436216 + 12615?\nAnswer: -423301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/3534 and 61\/114.\nAnswer: 3534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*z + 226, 3*z + 224 = 5*z + 2*f. Calculate the remainder when 128 is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 875763584 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.17 + -92.17. Let k = d - -96.7. Let z = -5 + k. Sort -2, -5, z.\nAnswer: -5, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 - 6*x**2)*((0 - 4 + 5)*(-7 - 6 + 16) + 19 + 291 - 53) as i*x + r + l*x**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of 305*v**4\/12 - 3*v**2 + 46. Let n(l) = l**2. Determine n(o(w)).\nAnswer: 372100*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rhrrhrrhrr. What is prob of sequence hr?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17335 + -17315. Sort -6, -1\/3, o, -4 in descending order.\nAnswer: o, -1\/3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {i: 8, e: 5}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 595\/(-136) - ((-22)\/16 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -80 + 7 + 3 + (-9 - -2) - -1.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 30?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11012012210 + -2011?\nAnswer: 11012010122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -945.88931 and 4?\nAnswer: -3783.55724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11987, -28434, -44893, -61370, -77871?\nAnswer: -94402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 z when three letters picked without replacement from {a: 1, g: 5, b: 1, z: 4}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 28, -1, -605 in decreasing order.\nAnswer: 28, -1, -3, -605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 4:20 PM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 2 + (-6 - -4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1224 - -46\nAnswer: -1178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 350416332 to the power of 1\/2, to the nearest integer?\nAnswer: 18719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**5\/13 + 6*k**3\/13 + 4*k**2\/13 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35.500575*-3.\nAnswer: -106.501725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -9678 + 28*i - i + 9573. Calculate the remainder when c(14) is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43180641.\nAnswer: 3, 7, 228469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3610*k + 3574*k = 1404 for k.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -188*u**2*w - u**2*y**2 + 4*u*w*y + 3*u*w - 8*u*y**2 wrt y?\nAnswer: -2*u**2*y + 4*u*w - 16*u*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (-6 - 12818135\/(-350)). Let z = 36615 - h. Calculate the common denominator of 53\/16 and z.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-672)\/(-672))\/((-5)\/(-205))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 380 is divided by 35.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3561, -3559, -3557, -3555?\n\"Answer: 2*c - 3563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-108)\/63*-1 + 2\/(-1). Put c, -0.1, -1\/5, -31 in ascending order.\nAnswer: -31, c, -1\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(2\/7))\/(o**2\/o))**(-4\/3) assuming o is positive.\nAnswer: o**(-8\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 3*b**2 + 6*b - 3. Let s be i(4). What is the derivative of -28*u + 64*u - 35*u - s wrt u?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 7*p + 2. Let a(b) be the first derivative of 3*b + 7 + 11\/2*b**2. What is -5*a(c) + 8*y(c)?\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -8. What is the nearest to -1 in y, 0.1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -4760, -9.4, 3.9?\nAnswer: -9.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t + 4*t + 3*t**4 + 12*t**3 - t - 4*t - 1 + 9*t to u*t**3 + l*t + g*t**4 + p*t**2 + d and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.01 + -0.19. Suppose -6*p = 1 + 47. Let b be (20\/40)\/(2\/p*1). What is the nearest to s in 2, b, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/3))**33\/(i*i\/(((i**2*i)\/i)\/i))**(-2\/29) assuming i is positive.\nAnswer: i**(-636\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**2 + 43*v - 23. Calculate o(-25).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -3. Let x be 2\/((-4)\/38)*-1. Suppose 3*d - x = v. 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: Two letters picked without replacement from ppppyyp. What is prob of sequence yp?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -254*x**5\/5 + 2*x**3\/3 - 46*x + 45. Find the third derivative of f(w) wrt w.\nAnswer: -6096*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - u - z + 6, -3*u - 2 = 5*z. Let q(k) = -5*k - 4 + 3 - 5. Calculate the remainder when q(u) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, q: 4, g: 11, p: 1}. Give prob of sequence pq.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 162.22 + -162.2204485. What is k rounded to five dps?\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -607*i = -315*i - 309*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1503 and 10521.\nAnswer: 10521","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6912*n**3 + n - 6970*n**3 - 3*n + 4*n.\nAnswer: -58*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - u = 117, 5*v + u + 2*u + 111 = 0. What is the remainder when 52\/(-6)*v\/16 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -102256 + 192?\nAnswer: -102064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 11 + 2*q**2 + 209115*q + 7*q**2 - 209108*q + 26. What is s(-8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0029001 to 4 decimal places.\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and -10.385?\nAnswer: 10.585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1137 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -0*a + 3. Let o be -2*(0 - a\/(-2)). Let l = o + 1. Is l a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49874?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 816252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7787, 61658, 207873, 492602, 962015, 1662282?\n\"Answer: 7695*s**3 + 2*s**2 + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1968886 and 3.\nAnswer: 5906658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 202319, 202936, 203553?\n\"Answer: 617*v + 201702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17045 divided by 5.\nAnswer: 3409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t + 4*t**2 + 4*t. Suppose -4*q - 4*v = -0 + 24, v + 7 = -2*q. Let d be y(q). Solve 5*s + d + 1 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0.2 (c) -2\/7 (d) 11 (e) -88\/17 (f) 0.8 (g) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r - 4*r + 2*r**2 + r**2 + 0*r**2 + r**2 + (5*r - 3*r + 0*r)*(0*r + r + r) + 692*r**2 + 304*r**2 + 284*r**2 + 29*r**2.\nAnswer: 1317*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 346*r**3 + 355*r**3 - 1056*r**3 + 356*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 27*c. Let i(y) = -6. Let q(j) = -j + 8. Suppose 0 = -3*u - 9, -8 = 5*m - 6*u + 2*u. Let h(n) = m*i(n) - 3*q(n). What is h(g(t))?\nAnswer: 81*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/f**(-2\/27))*f**(-3))\/((f*f**1\/f*f*f*f)\/f**1))**37 assuming f is positive.\nAnswer: f**(-6068\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of t**4\/24 + t**3\/6 + 77*t**2. Determine j(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g - 1. Let a be r(-2). Let h(d) = 3*d**2 - 4*d + 4. Suppose j + 2 = 2*j. Let k be h(j). Solve k = a*z - 7 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (3 - 10 - -9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 32*n**2 + 54*n + 23. What is r(30)?\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 483555 and 0.2.\nAnswer: 96711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1062*m - 1067*m + 46 = -3*d, 0 = -4*d + 5*m - 53 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7482 and 5568.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12205590 to the nearest integer?\nAnswer: 3494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 540984 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 10, 0.245 in descending order.\nAnswer: 10, 0.245, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24496675 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -47\/4. Let z(i) = 5*i. Let n be z(-1). Which is the third biggest value? (a) 5 (b) w (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3341514648 a multiple of 3747?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + n + 62. Let z be v(14). Let i be (0 - (-6)\/(-15))\/(6\/z). Sort 3, -4, 2, i in increasing order.\nAnswer: -4, 2, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 - 56. Let m be (-49)\/(-4) - (-4)\/y. Solve -5*x + m = -3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 46045*m**2 - 4*m + 9*m - 5*m.\nAnswer: -46045*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -4 - 1\/3*n**3 - 3*n + 3*n**2. Calculate the lowest common multiple of 4 and p(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/17)*q*(q\/((q*q**(-1)*q*q)\/q*q*q))\/q)**(1\/15) assuming q is positive.\nAnswer: q**(-32\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -62 + 6 + -2 + -1 + (31 - 83) + 54?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 105098081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (-19 + 2 + 32).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 0.8, -0.5, 77\/2 in increasing order.\nAnswer: -0.5, 1\/4, 0.8, 77\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g + 29. Suppose 7 = -z - 2. Let y be s(z). Factor -32*v**2 + 6*v**4 - 18*v**3 - y*v**3 - 10*v**4 - 16*v.\nAnswer: -4*v*(v + 1)*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1862 + 1858 = 43*g + 338 + 329 for g.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 135 + -137. Let n(b) = 43*b**2 - 11*b - 20. What is the units digit of n(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 - 1)*(-4*r**2 + 11*r**2 - 5*r**2) + 0*r**2 - 2*r**2 + 3*r**2 + 4*r**2 - r**2 - r**2 + (r**2 - 2*r + 2*r)*(6 - 4 - 3) - 2*r**2 - r**2 + 4*r**2.\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-2) - -2 - -2. Let n be 2\/6 + 2\/(-24). Let x = -699 + 696. What is the nearest to z in x, 3, n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2 = -t + 1, -2*t - 3*m - 9 = 0. Suppose 3*l + 599 - 2222 = t. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 12*x**4 + 5*x**3 - 15*x**2 - 5*x. Let h(q) = -6*q**4 - 2*q**3 + 7*q**2 + 2*q. Let r(l) = -5*h(l) - 2*t(l). Find the third derivative of r(p) wrt p.\nAnswer: 144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 872, 3497, 7872, 13997?\n\"Answer: 875*k**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, u: 14}. Give prob of picking 2 j.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -r**3\/3 - 5*r**2\/2 + 2*r - 4. Let a be x(-5). Find the third derivative of 4*n**a + n**4 - 5*n**2 + 5*n**2 + 2*n**4 wrt n.\nAnswer: 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4018709.\nAnswer: 19, 257, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) -2\/67 (c) 2\/5 (d) -2\/23 (e) -19\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16c670a - 81?\nAnswer: 16c6659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5365*f**3 + 598 - 598.\nAnswer: -5365*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24823702?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -9 - 16. Sort 1, 2, l in descending order.\nAnswer: l, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18\/5 in 2\/7, -473, 0, 4\/7, 3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4754918 nanometers to centimeters.\nAnswer: 0.00000004754918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w + 3. Let f = -62 + 59. Determine l(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 690618, 690650, 690682, 690714?\nAnswer: 690746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1773944, 1773942, 1773940, 1773938, 1773936?\n\"Answer: -2*u + 1773946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 9:17 AM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = i - 458. Suppose 2*x + 156 = i. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.4 - 1.81. Let c = b - -0.41000035. What is c rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 3*n + 1. Let o(s) = -s**2 - 4*s + 2. Let h(v) = -2*v - 2. Let u be h(3). Let m(p) = u*d(p) + 5*o(p). Is m(-2) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 9:46 AM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*x - 3 - 4*x + 0*x + 2*x + (-3 + 5 - 3)*(0 + 0 + 2*x))*(2389 - 10088 - 11440 - 838 + 1061).\nAnswer: 113496*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 2*u - 54 = -3, 12 = 4*u. Let i(k) = -10*k + 3. Let n be i(-6). Calculate the highest common divisor of m and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 48 = f. Suppose q = -4 + f. Suppose -3*n - 37*k + 25 = -41*k, -n + 5*k = -1. What is the least common multiple of q and n?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2308, 1326, -310, -2600, -5544?\nAnswer: -9142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 258 + 0?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -c**7\/84 + c**6\/60 + 4*c - 5. Let d(f) be the first derivative of r(f). Determine v, given that d(v) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 6*v**2 + 7*v + 2. Let s = 3 + 4. Let z be x(s). Find m such that -2\/3 - z*m**2 - 2\/3*m**3 - 2*m = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 = 38*v - 11*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -498*a - 82668 - 3\/4*a**2.\nAnswer: -3*(a + 332)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -157, -637, -1437, -2557?\nAnswer: -3997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 26 = n, 0*n + 5*n = -4*t - 10. Let d be (0 + n + 0)\/(-2). Suppose 0 = -2*u - 2*u + 40. Solve -d*y = -2*r + y - 10, 3*y - u = -r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31269043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1743 - -14033\/8. What is the common denominator of -77\/2 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 28?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-12)\/(-6))\/((-2)\/1).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10773*r + 1429*r**3 - 10773*r + (r**2 - 3 + 3)*(-2*r + 3*r + r) - 2*r**3 - 4*r**3 + 3*r**3 as p*r + x*r**2 + c + z*r**3 and give z.\nAnswer: 1428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2048 is divided by 85.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -5 (c) 3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(9\/10))\/(y*y**(1\/31)))\/(y**8)**(1\/3) assuming y is positive.\nAnswer: y**(-3347\/930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 805 + -172. List the prime factors of l.\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/7)*k*k*k\/(k**(-1\/5)\/k)*k**(5\/4)\/k**5 assuming k is positive.\nAnswer: k**(103\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 59\/4 of a meter?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4065173648 rounded to the nearest 100000?\nAnswer: -4065200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 25*x + 3. Let m(g) = -g. Calculate r(m(c)).\nAnswer: c**2 + 25*c + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n + 759 = 3255. Suppose 4*j - 63 = -2*d + 45, -j = -d - 24. What is the greatest common factor of j and n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2\/31, -2\/11, 2\/9, -98 in decreasing order.\nAnswer: 4, 2\/9, 2\/31, -2\/11, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**5 - 8536*i**3 - 6*i**2 + 17*i + 1.\nAnswer: -60*i**2 - 51216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 226212 (base 8) in base 10?\nAnswer: 76938","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 12*l - 3. Let x be m(-3). Let p = -407 + 415. Let i = x + p. What is i rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - m**2. Let z(o) = 5*o**3 - 17*o**2. What is 3*g(q) + z(q)?\nAnswer: 2*q**3 - 20*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4402.691 decades in centuries?\nAnswer: 440.2691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11948567?\nAnswer: 73, 163679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/29 in 0.4, 26\/9, -0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 155.48 times -1357?\nAnswer: -210986.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*n**2*q**2 + 2*n**2*q - 3*n*q + 55*n - 40*q**3 wrt q?\nAnswer: -12*n**2 - 240*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3324223414 (base 5) to base 15\nAnswer: -9857a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 9 + 3 + (-5 - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7778594, -15557183, -23335772, -31114361?\n\"Answer: -7778589*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122 + 1449615.\nAnswer: 1449493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-24) - 15\/(-4). Suppose -c*t + 23 = -3*v - 56, 0 = -t + 4*v + 36. Calculate the smallest common multiple of t and 38.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 18*z**2 - 64*z - 15. Let w be o(-21). Solve 6 = -4*b - 2*l, 5*b - w*b - 4*l + 9 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3\/7)*t**(-5))\/(t**(-2\/5)\/(t*t**(2\/5)))*(t**(1\/3)\/(((t\/(t*t**(5\/4)\/t*t)*t)\/t*t)\/t))**(-8\/11) assuming t is positive.\nAnswer: t**(-5521\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of d**7\/14 - 13*d**6\/10 + 9*d**5\/2 + d**4 - 20*d**3 + 2248*d. Suppose a(c) = 0. What is c?\nAnswer: -1, 0, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4805.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 2\/5 (b) 40 (c) 14 (d) 153\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + d2a82?\nAnswer: d2a7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 66.4 - 67. Which is the nearest to z? (a) -1 (b) -2\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-79)\/((-63200)\/(-96))).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, t: 2, h: 3, p: 1, l: 1, m: 1}. Give prob of picking 2 t, 1 l, and 1 x.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -30\/77057 and -59\/864.\nAnswer: 66577248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12084145 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 12*d**2 - 11*d. Let o be r(11). Let u be 2\/(-4*(-3)\/30). Let n(t) = -t**2 + 4*t + 1. Let l be n(4). Sort u, o, l in ascending order.\nAnswer: o, l, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 449, 445, 435, 419, 397, 369, 335?\n\"Answer: -3*j**2 + 5*j + 447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 20279998 = 5*n + 2*k, 13519996 = 4*n + 4*k. Round n to the nearest one hundred thousand.\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44 + -74. Suppose -2*n = 2*w + 52, 4*n - 5*w + 3*w = -134. Which is smaller: n or i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 4*w + 24 = 0. Suppose -5*s - 345 = 5*y, -3*y + 110 = -2*s + 2*y. Let c = -43 - s. Solve -3*g + 20 = 5*d, -2*d - w*g + c = -2*g for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45898986 to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/(-6))\/2)\/((-92)\/(-690))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*n = 4710 + 339 for n.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -490*c + 508*c - 1098. Suppose 3*i - 61 = 2*i. Does c = i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + q + 4*q)*(72 + 38 - 8)*(2 - 2 + 1).\nAnswer: 306*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14756717 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 432 and 48546?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b67 (base 12) to base 3.\nAnswer: -100101121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5809 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 1788 = 16*k. Let s = k + 208. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9238741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/60*1\/1*(-65)\/2?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a microgram in nanograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -671*b + 636*b + 595 = 0 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 0 = m - 9, -m = 5*x - 10. Suppose w = -0*w + x. What is the third derivative of -3*j**2 + 1 - w + 9*j**4 - 11*j**4 wrt j?\nAnswer: -48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/234 and 34\/24075441?\nAnswer: 48150882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1490 and 5.\nAnswer: 7450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -6*f**2 + 7*f - 7. Let o(n) = 36*n - 34 - 10 - 30*n**2 + 10. Let t(x) = -14*l(x) + 3*o(x). Find d such that t(d) = 0.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/8749 and -25\/6057.\nAnswer: 78741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1995\/20 - 5)\/((-3)\/(-12)). Let b = j - 385. Is -7 < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oppkoppa. Give prob of picking 1 a, 2 p, and 1 o.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**4 - 65*t**3.\nAnswer: 5*t**3*(t - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -o**4\/4 + 10*o**3\/3 + 2*o - 468. Suppose 10 = -3*t + 4*t. Let l be a(t). Solve l*i - 3 + 7 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-15) + -2)\/(4\/(-60))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 4*o = 564. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.6 + 6. Let t(b) = -4*b - 14. Let a be t(-3). Let n be ((-3)\/4)\/(a + 294\/48). What is the third biggest value in 5, n, x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-5) + 51\/15. Suppose 4*f + 0*u - 8 = 3*u, -l*u + 2 = f. Suppose f*c = -0*j - 2*j + 76, -5*j = -2*c - 169. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13196*i**2 - 6720*i**2 - 5898*i**2.\nAnswer: 578*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 28*h**2 - 4*h + 8. List the prime factors of w(2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 26*b**2 - 50*b - 48. Let m be t(-24). Solve -2*u + 5*l - 29 = m, 3*u + 1 = -l - 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 7:10 PM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -160*o**3 + 461*o**4 + 315*o**3 - 736 - 155*o**3 wrt o.\nAnswer: 1844*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**17*x)\/(x\/(x*x**(-7))*x) assuming x is positive.\nAnswer: x**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-77)\/(-68) - (-725)\/(-580). Sort -1, -2, 177, c.\nAnswer: -2, -1, c, 177","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*i*t*v**3 + 119*i*t*v**2 - 4*i*v**3 + i*v**2 - 809*i*v + 573*t*v**3 + 2*t*v**2 + 1199*v**3 - v**2 - 3 wrt v.\nAnswer: -60*i*t - 24*i + 3438*t + 7194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2464185172?\nAnswer: 2, 4231, 145603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 388352536 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -37\/8 in -5\/14, 4, -4.555, -5?\nAnswer: -4.555","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 + 34 = 8*u. Suppose 5*r + 0*r = 3*k + 28, 0 = 2*r + 5*k - 36. Find the second derivative of 2*h + r*h**3 - 17*h - u*h**3 wrt h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 201*r**2 + 7*r**3 - r**3 - 4 + 2 - 2*r - 2*r**4 - 198*r**2 as l*r + c*r**2 + f + v*r**4 + u*r**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12373.82 grams to micrograms.\nAnswer: 12373820000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36115 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 5844*r**4 + 1577872*r**3 - 3198828*r**2 - 4764328*r + 6528 = 0.\nAnswer: -272, -1, 2\/1461, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mtmtm. Give prob of picking 2 m.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -13*i**2 - 6*i - 15. Let a(p) = 39*p**2 + 17*p + 44. Let s(g) = -6*a(g) - 17*q(g). Find the first derivative of s(h) wrt h.\nAnswer: -26*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 12836?\nAnswer: -12837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -n**4\/12 + 3*n**3\/2 + 9*n**2\/2 - 18*n. Let x be l(8). Which is greater: 2\/5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -94 (base 11) to base 12\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 31044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21477634 or 21477636?\nAnswer: 21477634","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -11069, -11067, -11067, -11069, -11073, -11079?\n\"Answer: -d**2 + 5*d - 11073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 12 - 533*r.\nAnswer: -533*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 8*m**2 - 5*m + 12. What is w(-9)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**2 + 3*x - 2. Suppose -7*m + 25 = -3*m - q, -4*q - 25 = -m. Suppose m = g + 2*h, -3*g - 25 = -3*h - h. Give n(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (13\/12)\/((-3)\/9) and 38\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 31 = -10*n. Suppose -2*r + 4*r - 3*h + 2 = 0, -r = n*h - 25. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -8. Let v = 16 - b. Is 17 a factor of (-354)\/(-11) - v\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 62\/(-6) - (-4)\/(-6). Suppose 0 = -13*s + 26*s - 273. Let u = s + f. What is the smallest common multiple of u and 22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 615047858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54*x + 78*x - 57*x)*(-3*x**2 - 6*x + 6*x).\nAnswer: -225*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 83 + -68. Calculate the remainder when 44 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**2 + 130*c + 132 = 0?\nAnswer: -1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 18*m**2 + m + 26. What is the units digit of j(-18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -10. Let w = 2 + 9. What is the lowest common multiple of w and (-6 + f)*10\/(-4)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -140 + -890. Let v = -1025.09 - c. Let n = v + -4.9100446. What is n rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/9)\/(10\/(-15)) - -1. Suppose -5*q - 32 - 5 = -3*l, -3*q - d = 3*l. Solve -5*o + l*v + 1 = 0, 3*o + 0*v - 4 = -v for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50968140.0000005 - -50968163. Let u = -0.34 + -22.66. Let j = h + u. What is j rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3937560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9970756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 3*b - 42, b = -3*b - u + 51. Suppose -6*l = -b*l + 77. Calculate the least common multiple of 4 and l.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (4 - 2) + -1 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of 2*v**2 - 1\/20*v**5 + 0 + 0*v**3 + 1\/24*v**4 + 0*v. Factor h(i).\nAnswer: -i*(3*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*k**3 + 524 - 524 + 14*k**3.\nAnswer: 23*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - f - 1. Let h(c) = 4*c**2 - 5*c - 1. Give -h(n) + 5*y(n).\nAnswer: n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -475 + 47 + 33*m + 3*m + 619*m - 19*m wrt m?\nAnswer: 636","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*y + 60 = 91*y - 2*o, -5*o + 74 = -3*y. Sort -1, 1, 0, y.\nAnswer: y, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 145*g**2\/3 - 532*g\/9 + 4\/3.\nAnswer: (5*g - 6)*(87*g - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -928*d - 618. What is the tens digit of c(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-32982)\/336 - 2\/(-7). Let a be 2\/(30\/9) + (-6902)\/70. Let d = a - f. Which is smaller: d or -1\/13?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2608072, -2608049, -2608026, -2608003, -2607980, -2607957?\n\"Answer: 23*r - 2608095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -8. Suppose g = 8*q - 6*q - 228. Suppose -q = -4*c + 126. Is 21 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/1000 and -95\/1752?\nAnswer: 219000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 21 - (-32 + -19 - -50)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39\/(-104))\/(27270\/(-1440)).\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -403*u + 10194 = -27*u + 1546 for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1251961384 + -0.1252. Round y to seven dps.\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 55*u**3 - 1. Let w be y(1). Suppose 4 = i - 3. Suppose -i*g - 252 = -21*g. What is the highest common divisor of w and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 3. Suppose -2*t = u, -t = 5*j + 4*t. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -r - 3*z - 204, 5*z = -3*r - 116. What are the prime factors of 7*-8*9\/r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/784 and 121\/2940.\nAnswer: 11760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10212.69 - 10139. Round c to zero dps.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 3*t**2\/2 - 12. Let i(q) be the third derivative of q**5\/20 + 7*q**2. Give i(h(r)).\nAnswer: 27*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10717*8\/42*(-10)\/(-60)*45?\nAnswer: 2, 5, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + (-14 - (-25 + 90)) - (0 + -3)?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 5*x - 4*r, -r = 31 - 27 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26174 or -1.8?\nAnswer: 26174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 6*l**2 + l - 4. Suppose 30 = 74*u - 79*u. Let g be w(u). Let o be ((-271)\/(-9))\/1 + g\/90. Calculate the highest common divisor of 75 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*d**2*l**4 + 7199*d**2*l**2 + 11*d**2 + 5206*d*l**3 wrt l?\nAnswer: -96*d**2*l + 31236*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 363419?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 411798663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 154877?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 130072, 130049, 130012, 129961, 129896?\nAnswer: 129817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -6*(5*(0 + sqrt(612))**2 - -6*(sqrt(612) - (sqrt(612) + sqrt(612)*2 + sqrt(612)))**2 - ((-4*(sqrt(612) + -1))**2 - -5*(sqrt(612)*-2 - sqrt(612)))).\nAnswer: -157798 - 1692*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 5:25 AM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 508587795 and -1.2.\nAnswer: 508587793.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*l - 2907 = 0, 5*l + 1960 = 6*p - 8*p. Which is smaller: p or -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121 - 20101?\nAnswer: -13320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 3 + (-3 + 2 - 1)*(2 - 3 + 3) - 3 + 2 + 0)*((-2 + 0 + 1)*(-k - 3*k + 2*k) + 9*k - 12*k - 17*k) in the form f + u*k and give u.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(500) + sqrt(500) + (0 + sqrt(500) - sqrt(500)) + -1.\nAnswer: -1 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pla when three letters picked without replacement from qrprplapplwqlqqprp?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6641540 divided by -10.\nAnswer: -664154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1*sqrt(7) - sqrt(63)\/sqrt(36))**2.\nAnswer: -4*sqrt(7) + 71\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4767*q**2 - 70 - 7386*q**2 - 65 + 135 + 2612*q**2.\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 0.03, -129, -0.2, 2\/11 in increasing order.\nAnswer: -129, -4, -2, -0.2, 0.03, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 7 + 2)*(y**2 + 3 - 3) + 4*y - y**2 - 4*y - 146 - 21*y**2 + 146 to the form l + s*y**2 + n*y and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 68443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -9*i**2 + 257*i + 81. Give w(29).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/((1*sqrt(81))\/sqrt(9)) + -2 - (sqrt(833) - sqrt(833)*-1 - (-1*sqrt(1700))**2)*1.\nAnswer: -13*sqrt(17) + 1698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11402*v**3 + 4*v**2 + 2173*v**3 - 3*v**2 - 1.\nAnswer: 13575*v**3 + v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/33 + -3\/11. Which is the closest to -4? (a) 4 (b) g (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63))**2*-4 - (5 + (sqrt(35)\/sqrt(5))**2).\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -570, -567, -564, -561?\nAnswer: -558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 7*g - 7. Let w = 395 + -389. Suppose 0 = -k + w*t - t + 12, -4*k + 4*t = 16. Calculate i(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4684274 by -9043.\nAnswer: -518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 1:26 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82398016, -82398022, -82398028, -82398034?\nAnswer: -82398040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*c - 127817 - 90631 = 0. What is the highest common divisor of c and 164?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of f**3\/3 - 15*f**2 + 9986. Let w(c) = -8*c**2 + 5. Let s(q) = q**2 - 1. Let k(i) = 5*s(i) + w(i). What is m(k(j))?\nAnswer: 9*j**4 + 90*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*q + 6*q - 930 = 316 + 626 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7223 - 18.8?\nAnswer: -19.5223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-5*-2*(0 + 2*(2*sqrt(637) + -3 + -1 + sqrt(637) + sqrt(637)*2))**2.\nAnswer: -3188200 + 56000*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16121216 and 39087?\nAnswer: 4343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5712 times -0.3\nAnswer: 1713.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/750 and -39\/68776?\nAnswer: 25791000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/5 + 337*c**2\/5 + 1018*c\/5 + 136.\nAnswer: -(c - 340)*(c + 1)*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.182 + -93.818. Let t = 0.2211 + -45.2211. Let n = q - t. Which is the second smallest value? (a) -0.5 (b) -3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*((-320)\/(-144))\/(-20)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36 or 60?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -3*o. Suppose 0 = -o*x - 3*x + 3. Are -1 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -296, -297, -298?\n\"Answer: -m - 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b*b*b**(-1\/3))*b**(-3)*b**(-1\/3)\/(b\/(b\/b**(2\/9))*b) assuming b is positive.\nAnswer: b**(-47\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2209*z**3 - 14*z**2 - 80*z + 68. Let f be v(-6). What is f rounded to the nearest 10000?\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7560)\/4200*11\/(-3))\/(2\/(-10)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 444268, 888542, 1332816, 1777090, 2221364?\n\"Answer: 444274*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -4. Let l be (-117)\/(-7) + i\/14. Let f = -12 + l. Solve 2*u + f*q + 2 + 4 = 0, 3 = -u - q for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 8.438302462 and 0.3.\nAnswer: 8.738302462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/2523 (b) -0.3 (c) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -m**6\/360 - 7*m**5\/45 - 11*m**4\/8 - 4*m**3 - 2*m**2 - 171. Determine u, given that x(u) = 0.\nAnswer: -24, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - 4*p - 12. Let m = p - -5. Solve -j = -m*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) 0 (b) 4171.8 (c) 0.3 (d) -2\/13 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14904 = -34*m - 38*m. Calculate the greatest common divisor of 27 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 752 + -640. Is 13 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2306 - 1052. Does 19 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 90 + -87. Suppose b = -h*b + 544. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -191\/8 at least as big as 1181\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 163*h + 20812. Give n(-127).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3)*(1 - 3 + 4)*(0*i**2 - 25*i**2 + 3*i**2).\nAnswer: -44*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -104\/3 - -291\/8. Calculate the common denominator of u and -39\/2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**2 + 6*y**2 + 2*y**2)*(-y + y + y)*(-1 - 6 + 4) - y**3 - 2*y**3 - y**3 + (-4*y**2 + 0*y**2 + 2*y**2)*(y + 0*y + y).\nAnswer: -17*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*d + 76*d - 16*d**3.\nAnswer: -16*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, b: 2, k: 1, h: 1, t: 1}. Give prob of picking 3 v.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194*h**3 + 6*h**3 - 160*h**3.\nAnswer: -348*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70505663?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 205623.2 times 0.2?\nAnswer: 41124.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.8 + 11.3. Which is the smallest value? (a) 1 (b) s (c) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 + 68\/9*i**2 + 14\/9*i**4 + 130\/9*i**3 - 376\/3*i = 0.\nAnswer: -6, 5\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-2) + 702\/(-486) - 767\/117.\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 8251+61\nAnswer: 8312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2235 + 1149. Let b = m - -1086.0581. Let o = b - 32.9581. Round o to the nearest integer.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17343808 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.419 + 0.519. Let g = 5.09 + -0.09. Sort g, z, -0.1, -1.\nAnswer: -1, -0.1, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26? (a) -4 (b) 2\/53 (c) -0.034\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 15 = -2*c, 2*c = 3*d + 2*d - 25. Suppose f = 2*f - 2. Suppose z + f*y = d*z - 100, -2*y = z - 25. Does 12 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2834077549.\nAnswer: 23, 123220763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**5 + 28*k**3 + 10*k**2 - 3304*k. Let q(b) = 9*b**3 + 3*b**2 - 1102*b. Let s(l) = -3*i(l) + 10*q(l). What is the second derivative of s(g) wrt g?\nAnswer: -120*g**3 + 36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38184.\nAnswer: 2, 3, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18952 and 1012.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -22 (b) -0.031 (c) 224 (d) 6 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -15*w + 16 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1171, 2783, 4835, 7327, 10259?\nAnswer: 13631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 134787 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: Factor 2*i**3\/3 - 64*i**2\/9 - 94*i\/9 - 8\/3.\nAnswer: 2*(i - 12)*(i + 1)*(3*i + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12873 and 692307.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -149*c**5 - 6*c + 1 wrt c?\nAnswer: -2980*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -15793.343 - 0.5\nAnswer: -15793.843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 115, 176, 239, 304?\nAnswer: 371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8049, 16095, 24139, 32181?\n\"Answer: -o**2 + 8049*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245 is divided by 237?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.9 - -3. Let d = -65 - 38. Let z = d - -102. Sort q, z, -5, -0.2.\nAnswer: -5, z, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -2, 5, 9, -70?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2436891 is divided by 270764.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.2, 135\/22, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(68) + 0 + 1.\nAnswer: -4 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 3*b - 5, 3*b - 52 = -5*l. Let m = l + -21. Let o = m - -9. Is o <= -2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.04 (b) 16 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 48*s - 581. Calculate d(-27).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -10. Let v be (6\/(-12))\/(0 + 2). Let x = -0.047 + 0.547. What is the closest to 0.1 in x, u, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -497, -496, -495, -494, -493, -492?\nAnswer: -491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 728 and 476?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.20764 centuries in decades?\nAnswer: 332.0764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1194.85 - -1236. Let y = p + -39.9. Round y to 0 decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**5 - 4*c**4 + 117*c**3 - 2890*c?\nAnswer: 40*c**3 - 48*c**2 + 702*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.089861 rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*q + 13 - 6 - 7 to g + m*q and give m.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -533*t**2. Let g(x) = x**2 - 189. Determine g(p(m)).\nAnswer: 284089*m**4 - 189","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7586688383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**5\/4 + 161*o**4\/4 + 1064*o**3 - 26331*o**2 - 462096*o + 3440448 = 0.\nAnswer: -24, 6, 22, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b + 23. Let i be 1245\/20 - (21\/(-12))\/(-7). Let h = i + -69. Calculate the least common multiple of p(h) and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10155 - 23219?\nAnswer: -13064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -89a (base 13) to base 15\nAnswer: -689","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r + 3*r**2 - 7*r + 3*r.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - q. Let h(b) be the third derivative of b**6\/24 - b**5\/20 + b**4\/8 + 3*b**2 - 1. Determine 3*g(r) + h(r).\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 0. Let z = -0.408 - -3.618. Let m = -3.71 + z. Sort m, 4, g in decreasing order.\nAnswer: 4, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a - 7. Let b be h(3). Solve 2*c - c - b = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.45 (b) 405 (c) -2\/9 (d) 590\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28.79 * 0.4.\nAnswer: 11.516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (4 - -2 - 10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**5 - 3*g**2 - 4*g**2 + 6*g**2 wrt g.\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1290855915?\nAnswer: 3, 5, 19, 43, 35111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*b - 14*b + 19 = -13 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 55*c**3 + 817*c**2 + 831*c - 214629729.\nAnswer: 165*c**2 + 1634*c + 831","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -2 (c) 8\/7 (d) 0.4 (e) 4 (f) -0.05 (g) -59.5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -289*q**2 - 294*q**2 + 882*q**2 + 8*q**3 - 299*q**2.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 4*m**2 - 8*m - 3. Let f be b(-6). Is f\/5 - (-4)\/(-10) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 60678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-480)\/(-1729) + (-10)\/(-60)*(-65)\/((-16380)\/(-432))\nAnswer: -2\/247","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 25*a**3 + 32 - 35.\nAnswer: -25*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 615*l. Let h(k) = 2*k**2 + 41715*k + 4. What is h(x(v))?\nAnswer: 756450*v**2 + 25654725*v + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**6*y - 1401*g**4*y + g**4 - 2*g**2*y - 3*g**2 + 21*g*y - y wrt g.\nAnswer: -120*g**3*y - 33624*g*y + 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 914, 1834, 2748, 3656?\n\"Answer: -3*p**2 + 929*p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.211391 times 0.027\nAnswer: 0.005707557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-6)*(-119970)\/29025\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 829245790 to the nearest integer?\nAnswer: 28797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 746*j**2 - 24*j + 6. Let x(p) = 745*p**2 - 28*p + 7. What is 7*c(g) - 6*x(g)?\nAnswer: 752*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -581658.8 to the nearest 1000.\nAnswer: -582000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349 is divided by 171.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/3 - 704*k - 61440.\nAnswer: -2*(k + 96)*(k + 960)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 10 = -8*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-87)\/(-18))\/((-8)\/(-96)*2).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-19 - (55 - 51)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 30*s - 25*s - 5*y, 30 = s + 3*y. Let w = 0 - -10. Solve -5*m - w = -s for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1597876*p**2*u**2 - 39065*p + 4*u**2 wrt p?\nAnswer: 3195752*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7398 and 543068.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 6 + -1 + -9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2424 + 0.0495. Round m to 2 decimal places.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + y**2 + 4*y + 3. Let k be j(-2). Let m = 78 + -58. Suppose m = r - k. Does 9 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38*75\/(-190)*(-6752)\/1055\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 5565*b**2 - 6*b - 6721. Let v(c) = -5566*c**2 + 5*c + 6733. Let q(l) = -5*i(l) - 6*v(l). What is the derivative of q(o) wrt o?\nAnswer: 11142*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 273 and 483?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 370, 1422, 3168, 5602, 8718, 12510?\nAnswer: 16972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(68\/(-10) - (-35)\/5). Sort l, 2, -13, -4.\nAnswer: -13, l, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffbbffffbbffbf. What is prob of picking 3 f?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 329 - 49 = 0. Calculate the remainder when (1 + (x\/(-8))\/(-5))*-52 is divided by 23.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 7*k**2 - 3*k - 7. Let g(o) = o**3 + 6*o**2 + 4*o + 6. Determine -6*a(q) - 7*g(q).\nAnswer: -q**3 - 10*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -15096, -30190, -45284?\n\"Answer: -15094*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 826*-51136.\nAnswer: -42238336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 34, 50, 48, 4, -106, -306, -620?\n\"Answer: -4*n**3 + 15*n**2 - n + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -5. Let i = -4 - -8. Suppose -l - l = i*w + d, 23 = 5*l - 4*w. Which is the second smallest value? (a) 4 (b) -0.2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1211 - 859. What is the lowest common multiple of t and 4?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -u**3\/8 - 3*u**2\/2 - 6*u + 17. Factor n(p).\nAnswer: -3*(p + 4)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 0.4 (c) -0.4 (d) -898 (e) -0.26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3*h + 1)*(-2 - 1 - 2)*(7 - 3 - 6) as s + a*h and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 546 + -392. Calculate the highest common divisor of 88 and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 - 18. Let o be 2 + 11\/(44\/72). What is the highest common divisor of i and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14014 rounded to three dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 2*a**5\/5 - a**4\/2 - 4*a**3\/3 - 2. Factor h(b).\nAnswer: 2*b**2*(b - 2)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1737467450 divided by 5\nAnswer: -347493490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.7 + -84.7. Let j = l - -84.5. Which is the smallest value? (a) 0 (b) 7 (c) j (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/18)\/(4\/3).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*3)\/(4 - 9).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 456 and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6164108522?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1731.87 - 1815.9. Let d = u + 85. What is the second smallest value in -0.2, 0.3, d?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -546*p**3 + 77*p**2 - 10*p - 8. List the prime factors of t(-4).\nAnswer: 2, 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -35, -151, -353, -647, -1039, -1535, -2141, -2863?\n\"Answer: -b**3 - 37*b**2 + 2*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.0236433*33\nAnswer: 0.7802289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 10*g - 15. Let i be x(7). Let c(h) = 58*h + 20. Let r be c(i). Calculate the highest common divisor of r and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 435 - 30*l**2 - 433 - 32*l**2. Let z(c) = 124*c**2 - 5. Let r(d) = 5*i(d) + 2*z(d). Let x(p) = p**2. What is r(x(w))?\nAnswer: -62*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 833? (a) -3 (b) -11.1 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - (1 - (-1 - 4)). Which is the closest to -2\/3? (a) -360 (b) t (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-366)\/24339)\/(17\/7 + -2)?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/5)*q\/q**10)\/(q\/((q\/(q\/(q\/(q\/q**(3\/11)*q))))\/q))**39 assuming q is positive.\nAnswer: q**(-6323\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 2. What is the closest to -1 in -0.07, f, -5?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1055*t - 1059*t + 1 - 2 + 2 = -3, 0 = q - 3*t for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by -996.\nAnswer: 3\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*h + t, 0 = -5*h + t - 0*t - 12. Let u = h + 2. Find the second derivative of -2*y**4 + 0*y - 2*y + u*y**4 wrt y.\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 35*w**2 + 2356335*w - 7069320 = 0.\nAnswer: -471288\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -85*h**3 - 2*h**2 - 139. Let n(y) = 257*y**3 + 8*y**2 + 416. Let v(i) = -2*n(i) - 7*p(i). Find the third derivative of v(f) wrt f.\nAnswer: 486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 9*d + 597. What are the prime factors of l(48)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 196*v**4 - 4329472*v**3 - 146816004*v**2 + 172030688*v - 49555520 = 0. Calculate v.\nAnswer: -35, 4\/7, 22123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of t**5\/5 - t**4\/2 + t**2 - t - 7. Factor l(k).\nAnswer: (k - 1)**3*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -2\/7 (c) -0.3622 (d) 3 (e) 3\/4 (f) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, -19, 1 in ascending order.\nAnswer: -19, -6, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(2\/11)*b)**(-26\/3)*(b**(1\/4))**(1\/27) assuming b is positive.\nAnswer: b**(-18709\/1188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (22\/14 + -1)\/((-27)\/(-189)). Solve g*a = a + 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 195 and 455.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -69b (base 12) to base 16\nAnswer: -3d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**5 + f**3 + f**2. Let q(o) = -71*o**6 + 3*o**5 + o**3 - 20*o**2. Let h(g) = -q(g) + 3*x(g). What is the third derivative of h(b) wrt b?\nAnswer: 8520*b**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o**2 + 2. Let z(b) = -6*b**2 - 7. Let w(t) = 5*t**2 + 6. Let g(u) = -7*w(u) - 6*z(u). Calculate g(y(n)).\nAnswer: 16*n**4 + 16*n**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 330361442 to the nearest integer?\nAnswer: 18176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((23976\/(-259))\/27)\/((-14)\/8*18\/(-147)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2365542 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 84\/30 - (-2)\/10. Let j be (-1)\/3*(k + -9). List the prime factors of -3 - (-20 - 1 - j).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 14*p + 15. Let m be t(14). Suppose -24594 = -m*s - 10089. List the prime factors of s.\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -b**4 + 3*b**2 - 6*b. Let n(h) be the first derivative of p(h). Does 23 divide n(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - l + 1. Let p(w) = 9*w**2 + w + 1. Let m(g) = a(g) - p(g). Find the second derivative of m(q) wrt q.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 643416 is divided by 8758?\nAnswer: 4082","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 333 and 1443.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a58 - -121a2?\nAnswer: 1314a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 40*t**2 - 227*t + 25. Let m be c(45). Is m smaller than -68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (-1 + (-12)\/60)*-3140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, p: 1, l: 1, f: 5, a: 2, i: 6}. Give prob of picking 3 f and 1 u.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59927 = -11*c + 266595. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 4*c**3 - 19*c**2 - 838*c + 4839. Give s(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of w**6 + 1183*w**4 + 3*w**3 - 38236*w**2.\nAnswer: 120*w**3 + 28392*w + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 - 29 = 2*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1\/1027, -0.1, -2, -5, -2\/7 in descending order.\nAnswer: 4, -1\/1027, -0.1, -2\/7, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1863, 1880, 1909, 1950, 2003, 2068, 2145?\nAnswer: 2234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 4:20 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 2. Suppose -5*l + 2 = 12. Let d(j) = -j + 2. Let a be d(l). Calculate the highest common factor of a and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1 + 1)\/6)\/(-5 + 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -z**3\/6 + 12*z. Let l(c) be the second derivative of 0*c**2 - 1\/6*c**3 + 0 - 6*c. Determine w(l(f)).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 2*b + 55. Suppose 4*d - 73 = c, -2*d + b*c + 7 + 31 = 0. What is the remainder when 68 is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*4*sqrt(77)*-1)\/((4*sqrt(1008))\/sqrt(9))*3)**2.\nAnswer: 891\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 8*f**2 + 9*f + 6. Let m be g(-6). Does 19 divide ((-171)\/12)\/((-9)\/m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(1\/((-6)\/(-18))).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 65362201 to the nearest integer?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3775*s**2 - 2*s - 2999 wrt s?\nAnswer: 7550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -9*h**2. Suppose 0 = -2*c + c - 8*c. Let n(q) be the first derivative of 2\/3*q**3 + 8 + c*q**2 + 0*q. Calculate i(n(a)).\nAnswer: -36*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2527 + 2539 - 7*f - 3*f**2 + 11*f**2 - 45*f - 5043. Calculate x(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1167*g - 3 + 1159*g + 0)*(-4*g**2 + 2*g**3 + 4*g**2) in the form j*g**3 + i + b*g + p*g**4 + f*g**2 and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*q + 939 + 438 = 0. Suppose 78 = 4*g - 2*h, -2*h - h + q = 5*g. Let b(t) = -t**3 + 5*t**2 + t - 5. What is the least common multiple of g and b(4)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7821417.442+0.02\nAnswer: -7821417.422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a - 11*j + 55, -189*j + 101*j + 10 = 3*a - 86*j for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2.2 (b) -2\/9 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 121022420 to the nearest one million.\nAnswer: 121000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 576, -1\/6, -3\/4, -0.08411?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 9 = 5*p + 6, 13 = -5*w - 4*p for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 4*p + 2. Let r be i(-5). Let m be (-3*1)\/((-24)\/32). Which is the second biggest value? (a) m (b) r (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -141*w - 243 + 1261 + 110 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 5*u + 2*u)*(2*u**2 - 2*u**2 - 2*u**3) + 0*u**3 + 0*u**3 - 2*u**4 + 5*u**3 - 3*u**3 - 3*u**3 + u**4.\nAnswer: -3*u**4 - u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 768 is divided by 109?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(80) - (-2*(4 + sqrt(80) + sqrt(80)) - sqrt(80)))**2 + -5*(4 + sqrt(80)).\nAnswer: 364*sqrt(5) + 2920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24862771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-21)\/(504\/(-80)) - (-2)\/3. Solve -2*j - 5 = -m*p + 1, -2*p + 33 = 5*j for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -224408.4 rounded to the nearest 100?\nAnswer: -224400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 104960.088 rounded to the nearest one thousand?\nAnswer: 105000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -3\/5, -2, 5\/2, 1364?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 504 and 210?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (55\/(-22)*133\/95)\/((-4)\/(-96))\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5733756338?\nAnswer: 2, 2866878169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 77 - 79. Let f(p) = p**3 + p**2 + 1. Let m(i) = 5*i**3 + 2*i**2 - 15*i + 29. Let a(g) = h*f(g) + m(g). Differentiate a(n) with respect to n.\nAnswer: 9*n**2 - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1038 and 5190.\nAnswer: 5190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 711\/18*12*-1. Is 10\/4*c\/(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 37*o**2 - 174*o - 301. Determine k(31).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 + 2 - 0) + 2. Let b be (-1 + 1 + h)\/1. Calculate the remainder when 23 is divided by 9 + (b - -2) - -1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 12*g**2 - 13*g - 14. Let y be (-8490)\/14 - (-6)\/14. Let w be y\/54 - 4\/(-18). Calculate the lowest common multiple of c(w) and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/6 - 145519*q\/6.\nAnswer: -q*(q + 145519)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 times 482?\nAnswer: -433.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -32*b**4 - 164*b**3 - 148*b**2 - 16*b = 0.\nAnswer: -4, -1, -1\/8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/(-6))\/(-3 - -2). Let w = -6 + x. Calculate the remainder when 13 is divided by w\/(3*1\/(-4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 312*m. Let b(j) = 18*j**2. Determine b(o(q)).\nAnswer: 1752192*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/2*90\/(-2205).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c\/((c*c*c**2)\/c*c))\/c)**36\/(c**(-2)*c**(-4\/9)) assuming c is positive.\nAnswer: c**(-950\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 98 and 40278.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i + 4. Let u be v(12). Let z = u + 40. Suppose -4*g + 136 + z = 0. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -86 + 90. Solve 0 = -g + q*g - 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*x + 5*w, x + 4*w = 15 + 2. Let s = x + 1. Suppose -o - 1 + 3 = 0. Solve -s = -2*j - 4, 0 = 2*i - o*j - 8 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-604)\/(-5) + 17\/85 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1305300877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, g: 2, c: 2, v: 2, m: 1}. Give prob of picking 2 v.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2587.\nAnswer: 13, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of p**7\/504 + p**6\/72 - p**5\/8 + 13*p**4\/12 - 6*p. Let x(s) be the third derivative of r(s). Factor x(v).\nAnswer: 5*(v - 1)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 - ((-42)\/30 + -1))*40.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-38)\/4)\/((-20)\/601640*13)?\nAnswer: 13, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1271347537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2148951?\nAnswer: 3, 7, 31, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4525930622*d + 2262965316*d + 39*d**3 + 2262965306*d.\nAnswer: 39*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27807\/562 + -6\/281. Let z be 8496\/420 + ((-6)\/(-14))\/(-1). Let p = z - 509\/30. What is the common denominator of p and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 9:57 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -195, -395, -597, -801, -1007?\n\"Answer: -m**2 - 197*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/7? (a) 82 (b) -10 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.13, -697, -3\/4?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 14*n + 31. Let x be s(14). Let y = 339 - x. Is 37 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261176941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 4 + 0)*(-6 + 3 + 0) - 3 - 3 + 5 + (-4 + 0 + 5)*(1 - 1 + 1) - 4 + 0 + 5 - 3 + 0 + 0)*(-y + 4*y - y).\nAnswer: -28*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*h + 3*h. What is the derivative of -h + 6*u - 4 - 2*u wrt u?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36\/11 and 57\/88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -o**4\/4 + 17*o**3\/3 + 45*o**2\/2 - 21*o - 76. Calculate the remainder when v(19) is divided by 63.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*i + 5*i. Let r(f) = 0*f**3 + 2*f**3 + 4*f**2 + 0*f**3 - f**3 - 1 - 4*f + 0*f**3. Determine r(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -1815, 0.3, 5, 1146.9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/3 + -2)*-6. Suppose -3*u = -u - 10. Suppose 5*t = -3*s + 54, u*s - 62 = -t + 2*t. Solve s = n*a - 7 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from utukruuujtumtjuku. Give prob of sequence kjkr.\nAnswer: 1\/14280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 29 = 17*p - 12*p, 20 = 4*c - 4*p. Solve -c = 5*i + 16 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/4592*-41*-54.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-54)\/(-6) - 1)*203\/2. Suppose k = -0*l + 4*l. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d = 8 - 43 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 61\/4, -4, 144?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, o: 1, w: 1, q: 3}. What is prob of sequence wo?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338 is divided by 91.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7954, 15908, 23862, 31816, 39770?\nAnswer: 47724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15309 and 263574?\nAnswer: 49815486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 532092 rounded to the nearest one thousand?\nAnswer: 532000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x - 4*x - 40 + 6*x as s*x + r and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*l - 9*l = 4*a - 17, 5*a + l = 14 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*g - 27*g - 1393 - 528 = 0 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddqqddqqdd. What is prob of picking 2 d and 1 q?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -11. Let j(c) = -2 - t*c - 5*c**3 + 0*c**2 - 4*c**2 + 2*c**2. Let f be j(-1). Solve 2*d = b + 4, f*b + d + 6 = -1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.23 (b) -0.005 (c) -45.23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-5 - -12 - 11).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3127 a factor of 680510248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 161, 1, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 31247, 30856, 30465, 30074, 29683?\n\"Answer: -391*i + 31638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + c = 9 + 13, -27*c = -y - 13*c - 17*c + 18 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 65a5 + 894?\nAnswer: 7389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52203 is divided by 17387.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 579.85 - 0.4.\nAnswer: 579.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-2))\/((-3)\/2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(5 + 1*sqrt(2)) - sqrt(16)\/(-1*sqrt(392) - sqrt(392))) + 2)**2.\nAnswer: 216*sqrt(2)\/7 + 7001\/98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4*o + 2. Suppose 6*x - 2*x - h - 79 = 0, -5*h + 65 = 3*x. Suppose -3*c = -8*c + a + 37, 2*c = 3*a + x. Let y(z) = 9*z + 5. What is c*m(g) - 3*y(g)?\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.07 + -5.07. Let w = -20.65 + -1.42. Let p = -22 - w. Which is the closest to -1\/3? (a) p (b) h (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y + 5*y - 3*y)*(-2*y - 3*y**2 + 2*y)*(-19 + 2 + 4) to t + l*y**3 + k*y**2 + x*y and give l.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -378, -386, -394, -402, -410, -418?\nAnswer: -426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11123, -24668, -38217, -51770, -65327?\nAnswer: -78888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3115 + 5917. Let m be 1*-2 + p*-2. Let v = -3705 - m. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -636 (b) -0.4 (c) -5 (d) 9 (e) -3 (f) 0.17 (g) 5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 42420470 + -3?\nAnswer: 42420466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 - 2)*(3*v - 5*v + 16*v) in the form f*v + j and give f.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 69 = 16. Suppose -3*j + g = u, -u - j + 0*j = -63. List the prime factors of u.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, d: 1, i: 1, n: 4, x: 3}. Give prob of sequence dr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) - (sqrt(119) - (sqrt(119) + (sqrt(119) - sqrt(119)*-4*2))))\/(sqrt(1008)*-3 + sqrt(1008)) + (-1*sqrt(51)\/(-2*sqrt(432))*-5)**2.\nAnswer: -5*sqrt(17)\/12 + 425\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 - 1)*(v - 3*v + 0*v) + 5*v + 8*v + 18 - 17 to the form h*v + w and give h.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2867 = -156*v + 109*v. Sort 2, -9, v in decreasing order.\nAnswer: 2, -9, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 5*j**2 - 17. Calculate x(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -3*s**2\/2 + 5*s + 19. Let j(q) = 6*q - 9. Let f be ((-5)\/3)\/((-9)\/(-27)). Calculate f*j(y) - 9*t(y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**(9\/5))\/i)\/(i*i\/(i\/i**(5\/4)))*i\/((i\/(i\/(i\/((i**2*i)\/i))))\/i)*i**(-1\/86))**8 assuming i is positive.\nAnswer: i**(-1826\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -25882, -25874, -25866?\n\"Answer: 8*z - 25890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -3\/4, -0.2, 7\/3, 35, -2\/15?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7 + 1908*v**2 - 287*v - 1 + 233*v wrt v?\nAnswer: 3816","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -117, -140, -159, -174, -185?\nAnswer: -192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.89 + 0.11. Let f = -617 + 542.5. Let k = -73.5 - f. What is the nearest to -1 in -1\/5, m, k?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1303836 and 2533566?\nAnswer: 3075749124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 4*t**2 - 10*t - 6. Let x be g(6). Let q be (6\/(-15))\/(x\/(-30)). Let c(d) = 0 + 3*d + d - 2*d - q. Give c(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v be (37\/3)\/((-16)\/(-78)). Let r = v - 60. Calculate the common denominator of r and (-4)\/(-14) - 466\/112.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0*g = -g - 179, -898 = -5*f + 4*g. Suppose 65 - f = -3*i. Let z = 118\/3 - i. Which is smaller: z or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27844, 30931, 36074, 43279, 52552, 63899, 77326?\nAnswer: 92839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 76 - 108. Is (a\/48)\/(4\/(-8166)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1110 and 37332?\nAnswer: 6906420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -33\/2 in -0.4, -831, 2.3, 0.9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 237 + -236.341. Let g = p - -4.341. Let v = 0.4 + -5.4. Which is the third smallest value? (a) v (b) g (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**(-29))**43)**(-7\/6) assuming t is positive.\nAnswer: t**(2709\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 - -0.08. Suppose -2 = 2*z - 2*f, -9*f = -5*z - 10*f - 11. Which is the smallest value? (a) -3\/8 (b) h (c) z (d) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0089913002 to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71, 67, 61, 53?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 7*k**3 - 2*k - 6. Let s(r) = 28*r**3 - 9*r - 25. What is -2*s(q) + 9*y(q)?\nAnswer: 7*q**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 263020253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kfaxv. Give prob of sequence ka.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -18, 4, -3, 3 in decreasing order.\nAnswer: 4, 3, 0.3, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 6:52 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-9 - -2) + 4 - 1*-12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v - 27. What is r(27)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2800) + -4 - sqrt(280)\/(sqrt(1210) + sqrt(10)))**2.\nAnswer: -476*sqrt(7)\/3 + 99703\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - -1 - 21\/35. Let z = 1\/9 - 5\/207. Which is the nearest to j? (a) -0.5 (b) 5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -232730*p**3 + p + 71399.\nAnswer: -1396380*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/60)\/((-14)\/16). Sort c, -4\/5, 0.1 in ascending order.\nAnswer: -4\/5, c, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 5*q**2 + 84*q + 281. What is d(-7)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/10*1*(-18)\/(-9).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 158 = 21. Let z = f - -190. Is 2 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 254760 to the nearest integer?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 405*r**2 - 815*r**2 + 408*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w + 3. Let v(k) = -5*k + 13. Let g be (-82)\/(0 - (-2)\/3). Let t = g + 125. Determine t*v(h) - 9*f(h).\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 1\/6 (b) 0.111 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2883923 is divided by 82397?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 4*d. Suppose d = 5*s + 13 + 27. Is -7 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.181621095696 - -0.3?\nAnswer: -3.881621095696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 divided by 10.\nAnswer: 39\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 2953*b - 38222. Give x(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 1 = 2*l. Let o = 3 + l. Suppose -u - 6 - o = -2*q, -5*u + 10 = 5*q. Is u > -6\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -7. Let x(s) = -s + 6*s - f*s. Let d(q) be the third derivative of -q**4\/8 - 2*q**2. Determine x(d(p)).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/3, -0.42, -5, -2\/27, 3\/5?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94 + 94 - l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 778 is divided by 185?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 - 7*u**2)*(4 - 4 + 2*u) + 5*u**3 - 2*u**3 - u**3 + (0*u - 2*u - 4*u)*(-u**2 - u + u))*(5*u - 6*u + 5*u).\nAnswer: -24*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x - 81941 - 4*x - x**2 + 81941. Let r(h) = 4*h**2 + 5*h + 3. Give -5*i(f) - r(f).\nAnswer: f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2626740 < -243?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1423 + -14?\nAnswer: -1441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 2:49 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1617.9 - 3\nAnswer: -1620.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -314*s**3 - 5*s**2 + 4*s. Let n(q) = -3*q**2 - 2*q + 1. Let i be n(1). Let y be a(i). Round y to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215338090 a multiple of 3410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -3191976.\nAnswer: -319197.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 + -0.3. Let v = -41.2 - -36. Let c = v + 5. What is the closest to k in -1\/4, -1, c?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19.37 - -36.37. Let t = -6.4 - -7.4. Which is the smallest value? (a) 2 (b) z (c) t (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 66*c**3 - 6*c**2 - 5*c - 1. Let f(v) = 69*v**3 - 4*v**2 - 4*v - 1. Let r(d) = -4*f(d) + 3*g(d). Determine r(1).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhhh. What is prob of sequence hhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k - 3*f = -k, -3*f + 3 = -2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -3. Suppose m*f - 2 = 28. Let r(i) = 0*i + 8*i**2 - f*i**2 + 0*i. Let b(l) = 12*l. Calculate b(r(x)).\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 5*u**2 - 8*u + 1. Let n(j) = j**2 - 1. Let b(d) = h(d) - 4*n(d). Let z be b(-9). What is the highest common divisor of 11 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1557659\/49 + 31789. Which is smaller: -30.2 or f?\nAnswer: -30.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39356213\/10 + 3929293. Let l = g - -6322. Calculate the common denominator of -13\/16 and l.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -6 + -10 + 18\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -53, 5, 77 in decreasing order.\nAnswer: 77, 5, -24, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 556 a factor of 1099768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - -13. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 5545.45nm?\nAnswer: 0.00000000554545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37132224 divided by 9283056.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - a. Let o(d) = -7*d**2 + 2*d - 8. Let g(c) = 6*n(c) - o(c). Suppose 12*p - 17*p + 30 = 0. Give g(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express l + l + 1 + 1 - l**2 - 5*l**3 - 3 as j*l**2 + t + f*l**3 + m*l and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4449, -5, 1\/2 in descending order.\nAnswer: 4449, 1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00593 to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + 1 + sqrt(99) + 0 + 2)**2.\nAnswer: 72*sqrt(11) + 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*a + 782, 2*a = -2*a + 4*c + 1056. Let w = -125 + a. Suppose u - 3*u + w = 0. Is u a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 93 and 21359.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of f**10\/4032 + f**9\/864 + 5*f**8\/2688 + f**7\/1008 - 13*f**4\/4 + 33*f. Let l(t) be the third derivative of p(t). Factor l(g).\nAnswer: 5*g**2*(g + 1)**2*(3*g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 14*p**2 + 21*p - 50. Let c(v) = 5*v**2 + 7*v - 17. Let n(b) = -11*c(b) + 4*w(b). What is the remainder when -4*(-2)\/1*4 is divided by n(-10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 178827516*a**4 + 281711880*a**2.\nAnswer: 4291860384*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -159887*n**2 - 169012?\nAnswer: -319774*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -3. Let u = 1 + -6. Suppose v + 1 = 5*y, -2*v = 5*y - 2*y + 2. What is the nearest to y in w, 3, u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 1638*t**2 - 3278*t**2 + 28*t + 28 + 1646*t**2. What is r(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6054 - -16?\nAnswer: -6038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -439 from 9.\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*f - 6. Suppose 3*n - 30 = f*b, -4*n + b - 16 = -50. Suppose -3*t + n*t = -2*r + 11, -t = 2*r - 7. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -23581*y**2 + 3*y + 4. Let o be z(-3). Suppose -39613272 = -12*d - 13480080. Let l = o - d. Round l to the nearest one hundred thousand.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 6043459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -25. Sort -1, 0, g, 4.\nAnswer: g, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oxw when three letters picked without replacement from xxwwooxowoxxow?\nAnswer: 25\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, q: 4, z: 5}. Give prob of sequence qz.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -13. Which is greater: -8\/3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 1688*t + 15. What is the hundreds digit of a(27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1459, -5.\nAnswer: -5, -0.1, 1459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -16471.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -x**8\/6720 - x**7\/5040 - x**6\/720 - 47*x**5\/60 - 94*x**2. Let g(q) be the third derivative of v(q). Calculate g(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**3 + 15*j**2 + 6*j - 10. Let z be f(-7). Let y be 1\/((z\/79)\/3). Let w = 84 + y. Solve -w*x = -x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 11*n**2 - n + 1. Calculate h(11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4 - 200*m**3 + 4902*m**2.\nAnswer: 2*m**2*(m - 57)*(m - 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 39 = -5*l + 14, o + 2*l - 14 = 0. Let q be (-1272)\/9*(-27)\/o. Suppose d - q = -d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2\/5 - 44562*n\/5 - 44547.\nAnswer: -3*(n + 5)*(n + 14849)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-116)\/(-58))\/((-2)\/8)*(-32)\/(-128).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 2 = -j, 2*g = -1676*j + 1675*j for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -24*z. Let t(b) = 2*b + 1893. What is s(t(f))?\nAnswer: -48*f - 45432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 8*m - 24. Solve 2*h = m*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 583 (b) -372.63 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 217 and 11501.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-215)\/45 - (-26)\/(-126)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 8. Let t = 0.3 + -0.5. Let s = 0.2 - t. Is z < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-3))\/(1\/(-3)*1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**5*g)**(-8) assuming g is positive.\nAnswer: g**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - 10*o + 1. Let u be p(-9). Suppose -4*a + u = a. Suppose 3*k - a*r = -r + 272, -4*r - 109 = -k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 7:15 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fl when two letters picked without replacement from {f: 1, x: 4, l: 2, n: 5, a: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 + -25. Suppose -2*q - w = -0*q. Let k(t) = t - 1. Let a(i) be the first derivative of 7*i**2\/2 - 6*i + 2. Calculate q*k(o) + a(o).\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 a factor of 17928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 2*j + 4 + 2 + 2*j - 2 + (5 - 5 - j)*(1 + 1 - 1) - 3*j - 9*j - j + 4*j - 9*j - j + (-j + 4*j - 2*j)*(2 + 0 - 3) as u*j + d and give u.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 8358?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - s = -4*q + 285, -4*q + 295 = -3*s. Let m = q + -70. Suppose m = 2*f + f. Round f to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*q + 14 = 0. Suppose -3*g - 4*g = -q. Find the third derivative of -18*x**g + 21*x**3 + 1994*x - 1994*x wrt x.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79183 + 3*d**2 - 79183.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*((-4)\/16 - 1). Let l be 22\/w + (-4)\/10. Solve 0 = -5*h - 5*q + 25, 3*h + q + l*q - 17 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 22, 47, 90, 157, 254?\nAnswer: 387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/2 (b) -2.3 (c) -13 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 5196016.\nAnswer: -3\/2598008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwhrxvh. Give prob of sequence vr.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sb when two letters picked without replacement from abbffs.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.05264 - -18.69736. Round h to zero dps.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58030632 divided by -13322.\nAnswer: -4356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 6 = -12 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 5 - (15 - (3 + 6))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.07 (b) 4 (c) 63.383\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 6540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + (3*(sqrt(300) + (sqrt(300) - 2*sqrt(300)) + sqrt(300)) - sqrt(300))\/((-2*sqrt(1512))\/sqrt(7)))**2.\nAnswer: 25\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 660161287 to the nearest integer?\nAnswer: 25694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3397 - -3413. Solve -4*z - 3*v - t = 0, z - 9*v = -6*v - 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15765384 and 18?\nAnswer: 47296152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iuhkxxxhxxkhxxlkxxi. What is prob of sequence kk?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t**2 + 41*t - 17. Let i be g(-14). Let y(f) = -2*f**2 - 2*f + 2. What is y(i)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*a - 75 = 321. Let w = -12 - -8. Sort -12, a, w in decreasing order.\nAnswer: a, w, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*k + 3*w, 5*k + 3*w = -2 + 10. Is 11 a factor of 146 + k\/(4\/(-8) - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1155422146 to the nearest integer?\nAnswer: 1049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -62, 0, 8 in descending order.\nAnswer: 8, 0, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*n**2 - 2*n**3 + n**3 - 25*n**2.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 239439.69 and 0.13.\nAnswer: 31127.1597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3274727 a multiple of 796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) -2327 (b) -4 (c) -1\/8 (d) 171 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -304*y**2 + 2067*y + 176. What is d(8)?\nAnswer: -2744","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 10*o**2 + 4*o + 15. Let a be g(9). What is the greatest common divisor of a and 176?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**5\/7 + 12*p**4\/7 - 256*p**3\/7 - 34*p**2\/7 + 783*p\/7 - 506\/7 = 0.\nAnswer: -23, -2, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 349243403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/5, 0.1, 63\/4, -0.5, 11, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/7))**(5\/6)*(y**(-1))**(2\/139)*(((y*y\/y**(1\/2)*y)\/y)**(-33))**(-16) assuming y is positive.\nAnswer: y**(2311111\/2919)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 83685 (base 9) in base 5?\nAnswer: 3231423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 6751609.2ms?\nAnswer: 0.078143625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/(-33) - (4 - 2).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 2*x - 3 = 17, 4*u + 3*x = 35 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-25))\/((-358)\/(-179))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -166 + 184. Put -1, -2, y in decreasing order.\nAnswer: y, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4 = -0. Let n be 15\/6 - (-1)\/v. What is the derivative of 2*o**3 - 3*o**n + 1 + 3*o**2 wrt o?\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 801402 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11709, -11559, -11411, -11265, -11121, -10979, -10839?\nAnswer: -10701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = r, 2*s + 118 = -0*s - 2*r. Suppose -a - 1 = -2*q, -2*q - 2 = -3*a - a. Calculate the common denominator of (-435)\/s + a\/(-3) and 11\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -2\/9 (b) 2 (c) -1\/9 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 20*x**2 + 44*x - 24. Let s be o(-22). Let k = 12 - s. Is 36 equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = 2*j - 40. Let m(g) = 6*g**2 - 14*g + 4. Let l be m(j). Find the first derivative of -15 + l*z - 11*z**3 - 84*z wrt z.\nAnswer: -33*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 57671 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7364?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and -421675 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -2234333?\nAnswer: -2234335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05 and 2707.\nAnswer: -135.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 289, 293, 297, 301, 305?\n\"Answer: 4*t + 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of s**3 + 52*s**5 + 2239*s + 0*s**3 - 2238*s - 31 wrt s?\nAnswer: 1040*s**3 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -6. Suppose f + 16 = 3*m, 3*m - p = -f + 5. Let a be (((-96)\/28)\/f)\/((-27)\/(-294)). Is 10 >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 0.1 (b) 5\/11 (c) 0.204 (d) 2 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-90)\/(-66))\/(12\/2)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b. Let l(j) = -2018*j. Give l(a(p)).\nAnswer: 4036*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09344240371 rounded to four dps?\nAnswer: 0.0934","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -43 + 1824?\nAnswer: 1771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.66 and 1.\nAnswer: 0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**2 - 78*y + 5170. Calculate z(-76).\nAnswer: -454","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -6*a**2 - 16. Let h(d) = -2*d. Calculate h(j(g)).\nAnswer: 12*g**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 32 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -o**4\/4 + o**2\/2 - o + 3705. Let z(y) = -2*y**3 - y**2 + 1. Give -m(f) + z(f).\nAnswer: -f**3 - f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 320 (base 11) to base 5.\nAnswer: 3020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3. Let k(a) = -14. Let o(x) = 1. Let j(z) = -k(z) - 12*o(z). Let p(i) = -8*j(i) - 5*n(i). Let c(d) = 2*d**3 + d**2 - 5. What is c(m) - 5*p(m)?\nAnswer: 2*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**3 - 6*i**2 - 95*i + 2*i**4 - 73*i + 21 + 169*i in the form q*i**3 + v*i**2 + t*i**4 + s + n*i and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*t**3\/9 + 2197*t**2\/3 - 556880*t\/9 - 19564\/3 = 0. Calculate t.\nAnswer: -2\/19, 146, 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 2\/5, 0.05, 3, -1\/11, -1\/119, -2?\nAnswer: -1\/119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 u when two letters picked without replacement from {u: 1, v: 3, c: 1, f: 1, o: 4, t: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -9*d**5 + 13*d**4\/12 - 5*d**3\/6 + 14*d**2 + 136*d. Let t be a(-12). Round t to the nearest ten thousand.\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -59, -126, -219, -338, -483, -654?\nAnswer: -851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 11)\/((-13)\/1118). Let h = -1287 - a. Let g = -13009\/6 - h. Find the common denominator of -19\/8 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -236 + 236 - 23*x**3 + (-x**2 + 0*x + 0*x)*(-9 + 19*x + 0 + 11).\nAnswer: -42*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5144590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - 26. Sort -4\/3, l, -0.4 in decreasing order.\nAnswer: -0.4, -4\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 3*j. Let p be b(-3). Suppose -5419 = -739*m + 4277 + 8779. Solve p*w + m = -5*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 9*m + 84 = 0, -14*y - 4*m = 384 - 472 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3 - 377526*o**2.\nAnswer: 2*o**2*(o - 188763)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d - 16, 5*d = 114613*g - 114610*g - 44 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 11*r**2 - 2 - 4*r - 6*r - 2*r**3 - 5*r**3 + 6*r**3. Let k be y(10). Let m be -5501 - (1 + k - 0). Round m to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -11, 15, -58, -52 in ascending order.\nAnswer: -58, -52, -12, -11, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -140 (b) 0.26 (c) -0.03 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-12) - 4\/((-48)\/(-75)). Let v be 9\/(-27) - (-844)\/l. Let b = -53 - v. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 22*b - 53. Let l(w) = 15*w - 35. Let i(p) = 7*l(p) - 5*u(p). What is the units digit of i(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 896 and 0.2?\nAnswer: 179.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, u: 1}. What is prob of picking 1 z and 1 u?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 27274244 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -132*o**5 - 1697*o wrt o?\nAnswer: -2640*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 282 and 13066.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8, 13, 20, 29, 40?\n\"Answer: s**2 + 2*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of 2*f**7\/7 - f**3 - 10. What is the third derivative of z(i) wrt i?\nAnswer: 240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -82258*f**4 + 1161941*f wrt f?\nAnswer: -987096*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 38*q**2 - 43*q + 222. Let z be h(37). Sort 48, z, 52 in decreasing order.\nAnswer: 52, 48, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 9*j**2 + 11*j + 13. Let x be y(-6). Let m = x - 143. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 60578096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 2808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3336342 - 3?\nAnswer: -3336345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 142469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -10, -4 in decreasing order.\nAnswer: 3, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**16*((g**12\/g)\/g)\/g*g assuming g is positive.\nAnswer: g**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20061?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 710791, 710815, 710865, 710947, 711067, 711231, 711445, 711715?\n\"Answer: t**3 + 7*t**2 - 4*t + 710787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from unuuuuunuuuuuuuuuuu. Give prob of picking 3 u.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -880\/13? (a) -3 (b) -5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -89.\nAnswer: 5\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2653 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1.711 - 8115\nAnswer: -8116.711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 263541013 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 368?\nAnswer: -365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -8\/9, -0.04, -859?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, x: 1, h: 2, w: 1}. Give prob of sequence wq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13269053.\nAnswer: 7, 270797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 47541*n + 3514?\nAnswer: 47541","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = p - 4. Suppose 0 = 3*u - 2*d + 4*d - 49, 5*u + p*d - 80 = 0. What are the prime factors of u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(440)\/(sqrt(8)*-3 - sqrt(8)) + 1*sqrt(55)*4)\/((3*sqrt(121) - sqrt(121))\/sqrt(11) + -4*sqrt(44)).\nAnswer: -5*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 24 = 2*m. Suppose -2*r = 4*r - m. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 divided by 26574.\nAnswer: -28\/13287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 19*l**2 - 2*l. Let m(p) = 34300*p. What is m(k(z))?\nAnswer: 651700*z**2 - 68600*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/((v\/(v**(3\/5)\/v))\/v))*v*(v*v*v**(-3)*v)\/v)**(8\/3) assuming v is positive.\nAnswer: v**(56\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, -0.09, 8, 5, -66?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 + 200*d**3 - 98*d**3 + 15 - 100*d**3 - 2*d.\nAnswer: 2*d**3 - 2*d - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 0)*(2992*t - 8835*t + 7 + 3252*t + 3360*t) to the form x + p*t and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 886*t = 894*t + 1168. Let y be -2*(-2 + 23)*2. Let u = y - t. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 15. Let z(v) = v**3 - 6*v**2 - v + 8. Let w be z(g). Let k(u) be the first derivative of -u**2 + u + 1. Determine k(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -26 (c) -6766\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39092 by -3.\nAnswer: 39092\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**7)\/z)**2 assuming z is positive.\nAnswer: z**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -2\/31 (b) 0.06 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99 (base 13) to base 7.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -506 + 565. Let h = 80.5 - o. Which is smaller: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + z**2 + 4. Let f be o(-2). Let g be 2\/2 - (-1 - 1). Solve 5*c + f*v + 2*v + 15 = 0, -5*v + 40 = -g*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -3.9. Let l = j - -2.9. Let f = 53 - 52. What is the second smallest value in -3\/7, f, l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 100, 71, 34, -5, -40, -65, -74?\n\"Answer: m**3 - 10*m**2 - 6*m + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -4.7?\nAnswer: 4.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 5*y**3 + y**2 - 2*y - 3. Let k be p(-2). Let j = -15 - k. Solve -6*b + b + j = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, a: 1, t: 4, y: 3, q: 2, k: 3}. What is prob of sequence kft?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 9:04 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4564774 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 + 5*k**2 - 3*k**2)*(3 - 1 - 1) - 7*k + 7*k - 11*k**2 - k + k - 2*k**2 + (0*k + 3*k - 4*k)*(-3*k + 4*k - 3*k) - k**2 + 2 - 2.\nAnswer: -13*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*m - 15. Suppose -r + 57 = 4*f, -m*r - 2*f + 217 = f. What is the remainder when r is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0713926419 rounded to four decimal places?\nAnswer: -0.0714","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from zbzrzzbzzbzbrzzb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -5. Let u = 0.05 - -16.95. Let y = u - 20. Which is the nearest to 0? (a) o (b) y (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 13*p + 16 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85527.09 weeks to days.\nAnswer: 598689.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(-2\/5)*r*r*r)**(-24)\/(r**(-1)*r*r**(-3\/4)))\/((r*r**(-7)*r*r*r*(r*r\/((r\/r**4)\/r*r)*r)\/r*r)\/(r**(-1\/3)*r**(-2\/9))) assuming r is positive.\nAnswer: r**(-20377\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 56529 and 59736 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4006157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188 = -97*a + 98*a - 4*p, -164 = -a - 8*p. Calculate the smallest common multiple of a and 162.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 58 = q, -29 = q - 2*w + 17. Let m = q + 44. Let a be 1\/m + 81\/(-270). What is the second biggest value in 15, 2, a, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 4, w: 10}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-57)\/(3192\/70)*36\/(-225)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 8:34 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 11:05 AM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 0*j**2 - 6*j + 3*j**2 - 5*j**2 + 4*j as k*j**2 + m + v*j and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 638660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4007, -4003, -3999, -3995?\nAnswer: -3991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -0*r + 396. Suppose -16 = -o + u + 7, -4*o = 3*u - r. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of r**5\/60 + r**4\/24 - 7*r**2. Let a(h) = 0. What is h?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = v - 5*b - 12, 2*b = v - 9. Solve -v*l = -8*l + 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(1*-10 - 1)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 4, -2*r - 11 = -4*s - 3. Solve r*f + f + 4 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60283 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 3)\/(117\/(-156))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -n**7\/42 + 6*n**6\/5 - 7*n**4\/4 + 3079*n**3\/6 - 3747*n. What is the second derivative of j(c) wrt c?\nAnswer: -20*c**3 + 432*c**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39460163 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: Which is the smallest value? (a) 1226 (b) -6 (c) -1 (d) -56\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -110 by 22.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -6, -36, 14835, -1 in increasing order.\nAnswer: -36, -6, -2, -1, 14835","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**4 - 2*j**4 + 2*j**4)*(4 - 4 - 1) + 0*j**3 + 0*j**3 - 2*j**4 + 0*j**4 - 2*j**4 + 0*j**4 + (-21*j**2 + 2*j**2 - 3*j**2)*(3*j**2 + 12*j**2 - 3*j**2).\nAnswer: -270*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 - (-33 + 105) - ((-35 - -1) + 2).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 23*s**2 - 8*s**2 + 80*s**2 + 20*s**2 to r + k*s + j*s**2 and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -7654, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 5*r**2 + 6*r + 6. Let i be a(-4). Let f = 39 + i. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -29*q. Let m(h) = 15586*h**2 - 2*h. What is t(m(s))?\nAnswer: -451994*s**2 + 58*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3a4c5b (base 14) to base 15\nAnswer: -29ace6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -7*i. Let f be (-2 - -3)*0\/(8\/(-4)). Let a be (-11 - -1) + 6 - (-11 - f). Let p(t) = -t**3 + 9*t**2 - 13*t - 6. Let n be p(a). Calculate c(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d. Let u(j) = 4*j + 135. Determine z(u(b)).\nAnswer: 12*b + 405","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000062808012 rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 255711748*j + 1354951. Let o(b) = 12267*b + 65. Let h(g) = -5*i(g) + 104227*o(g). Let y(q) = -2*q. What is h(y(d))?\nAnswer: 12262*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 444 = -5*g, 2*z = 6*g - 8*g + 176. What are the prime factors of g?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, l: 1, a: 2, g: 1, v: 1}. What is prob of picking 2 x and 1 g?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/8 and (-2 - 57\/(-30))*-59.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54 - 54.069. Let q = 28.069 + s. Let f be (-2)\/1*(-9)\/(-18). Which is the second biggest value? (a) 4 (b) f (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.6 + -1.9. What is the second smallest value in -0.2, v, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in -2\/11, 1\/8, 4, 5, 9?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -40*z + 101. Calculate o(-4).\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 11:12 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/((-29)\/9 - -3). Let g = q + -28. Is -0.16 > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 236, 656, 1076, 1496, 1916?\nAnswer: 2336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -169 + 166. Which is the closest to 1\/3? (a) i (b) -21 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - -18. Is j a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzbzbzzzzzzll. What is prob of picking 3 z and 1 b?\nAnswer: 168\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**0)**26*(u*u*u**(1\/4)*u*u)\/(u**(3\/4)\/u) assuming u is positive.\nAnswer: u**(61\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1097?\nAnswer: -1097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 562904, 562944, 562984, 563024?\nAnswer: 563064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*j**4 - 43*j**2 + 41*j**2 + j**4 - 6*j**4 + j**3 - 1 - 6*j**4 as x*j + n + t*j**2 + w*j**3 + l*j**4 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 1\/5, 190\/3?\nAnswer: 190\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 g when three letters picked without replacement from nggyggppyypypgppgq.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*z + j - 4*j, -4*z - 4*j = -16. Suppose -z*f = 4 - 22. Suppose 11*x - f*x - 10 = 0. Solve x*r - 3*k = -8*k - 29, -3*k = 3*r + 21 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) - (sqrt(228) + -2*((sqrt(228)*-2 - sqrt(228)) + sqrt(228)) + sqrt(228)))\/((1*sqrt(108))\/sqrt(9))*-6.\nAnswer: 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9047 - -9640. Calculate the least common multiple of 3 and m.\nAnswer: 1779","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 8. Let y be 9*6\/(-30)*10\/(-6). Let n be 0 + y + -1 + m. Solve n*r + 3 = -3*w, w + 2*w = -3 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 599833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) -77 (c) -2 (d) 7 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0619619 rounded to 4 dps?\nAnswer: 0.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 92 - -80. Suppose 5*l = h - 32. Suppose -4*u = 2*q - 234, 2*q - 303 = -3*u - 72. Calculate the remainder when q is divided by l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 8*l = -2*x + 10, 5*x - 11 = -4*l. Let c(u) = -u**3 + 4 + 0*u**x - 3*u**2 + 0*u**3 + 3*u. Give c(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/14260 and 91\/457746.\nAnswer: 4577460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of o**2\/2 - 23. Let c(w) = 4*w - 1. Let m be 1 - 4 - 0\/3. Let i be -2 - (-2)\/(1 + m). Calculate i*u(z) + c(z).\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -o**4\/12 - 7*o**3\/2 + o**2\/2 - 36*o. Let m be n(-15). Suppose 103 = v + m. Calculate the remainder when 46 is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 68 - 3d9?\nAnswer: -371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**4 - 1047*y**3 + 3159*y**2 - 3165*y + 1056.\nAnswer: -3*(y - 1)**3*(y + 352)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 816 and 8560.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-6)\/f*f)\/f)**(16\/11) assuming f is positive.\nAnswer: f**(-96\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -6*z. Let o(j) = 67*j**2 + 2*j + 1. Let l(n) = 335*n**2 + 11*n + 7. Let a(h) = -2*l(h) + 11*o(h). Determine f(a(t)).\nAnswer: -402*t**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 10:13 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(-1 + -1 - -4). Let x(a) = 2*a**3 + a**2. Determine x(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, g: 9, c: 1, j: 1}. Give prob of picking 1 j and 1 g.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t + 1. Let f(z) = -5*z - 3. Let i(l) = 2*f(l) + 6*w(l). Let v(n) = -4*n + 3*n + 3*n. Give v(i(h)).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 113274087?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36116 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1959750 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**3\/2 + 12*t**2 + 225*t\/2 + 189 = 0.\nAnswer: -3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + (-3 + sqrt(700) - sqrt(700))*4 + 4)*-3.\nAnswer: -30*sqrt(7) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 + -101. What is the third smallest value in 0.5, c, -1\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 815103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.882327132 rounded to four decimal places?\nAnswer: -0.8823","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = n + 5*x, 3*x - 854 = 3*n - 842 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 13944\/(-60) - (-8)\/20. Let g = w + 248. What is the lowest common multiple of g and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 33*p + 159. Is q(21) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -28565.60117 from -0.1.\nAnswer: 28565.50117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.17203 millilitres?\nAnswer: 0.00017203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 32 = -5*w + w, 17 = -4*w + i. List the prime factors of -6*w*(1 - 0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -9*m - 6. Let d(x) = -5*x + 4. Let u be d(2). Let f(q) = q + 1. Calculate u*f(r) - w(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 817 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02267453 to three dps.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1056025 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -121, -228, -325, -406, -465, -496, -493, -450?\n\"Answer: y**3 - y**2 - 111*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2876 times -5.366?\nAnswer: -15432.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -6*h. Suppose -419 - 131 = o. Let l = o + 19252\/35. Which is greater: h or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*r**2 + 419*r + 400*r + 258 + 826*r**3 - 819*r wrt r.\nAnswer: 4956","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gfggfgg. Give prob of picking 1 f and 1 g.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/5*-1)\/(90\/(-100)). What is the closest to -2\/5 in 3\/4, s, 2\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in 0.04, -30, 4\/15, -2\/13, -6?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nfnf when four letters picked without replacement from ffkkfnkf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r. Let x(y) = -110202*y. Determine x(f(t)).\nAnswer: 440808*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/((-60885)\/60)*(-213)\/(-142)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -b**11\/13860 - b**7\/2520 + b**4\/6 - b. Let q(l) be the third derivative of d(l). Find the third derivative of q(j) wrt j.\nAnswer: -480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 8. Let f(s) = -2*s**2 - 3*s - 2. Let n be f(-2). Let u = a - n. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-135)\/81*-3*4\/(-300).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1195650853 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x + 362. Let p(w) = w + 366. Give 2*p(l) - 3*t(l).\nAnswer: -l - 354","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.99938 rounded to 0 dps?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 10132863.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -60647862.8 + 2\nAnswer: -60647860.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2 + 3*o + 6. Let s(d) = -2*d**2 - 4*d - 5. Let j(l) = -2*f(l) - 3*s(l). What is j(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -154 - -156. Find the second derivative of -97*m + 8*m**3 + 2*m**2 + y + 3 + 101*m wrt m.\nAnswer: 48*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v**3 + 2*v**2 - v - 1. Let d be k(1). Let g(m) = d + m - 8 + 3. Calculate g(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 169902068?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1.69 (b) -3 (c) 7 (d) -1976 (e) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2172486363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*m + 206*m = 37*m + 392. Is 153\/82 <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.70122 to 1 decimal place.\nAnswer: 36.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o**2 - 38*o + 51. Determine y(-15).\nAnswer: -279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*174*-5*(-60)\/(-1800)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5979 (base 11) to base 9\nAnswer: 11660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 103, -59, -507, -1379, -2813, -4947, -7919?\n\"Answer: -23*v**3 - 5*v**2 + 14*v + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3738447, 7476906, 11215365, 14953824, 18692283, 22430742?\n\"Answer: 3738459*j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32332?\nAnswer: 2, 59, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**3\/2 + 103*s**2\/2 + 20609*s\/2 - 62727\/2 = 0.\nAnswer: -103, 3, 203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -74\nAnswer: 5\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + 914.\nAnswer: 909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -1474731 (c) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -223202 (base 4) in base 15?\nAnswer: -c5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 8*v + 1086 = z, -3*v + 3252 = 5*z. What are the prime factors of v?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 986359 rounded to the nearest one thousand?\nAnswer: 986000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 25 + 5 = 0. Suppose 5*v + 5*k - 630 = 0, t*k - 161 = -v - 31. What is the highest common divisor of v and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, q: 4, i: 2, e: 1, g: 4, u: 5}. Give prob of picking 2 u, 1 b, and 1 q.\nAnswer: 32\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 588, 1428, 2264, 3096, 3924, 4748, 5568?\nAnswer: 6384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -212181302*-3.\nAnswer: 636543906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 703\/195 + -46\/13. Let z = -628 - -627.8. Which is smaller: z or r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 2.1, 2\/15, 3, -2\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 261*f + 2635. Calculate u(-20).\nAnswer: -2185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18657511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.610379ng in grams?\nAnswer: 0.000000004610379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5387999.4 nanoseconds?\nAnswer: 0.0000014966665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/144*(-160064)\/(-165066).\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -80052 or -80053?\nAnswer: -80052","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374398?\nAnswer: 2, 131, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*n + 21*n - 5*h + 4 = -16*n, -3*n + h + 22 = n + 3*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/13616 and -9\/1702.\nAnswer: 13616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 + 79*t + 47. Calculate h(-39).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.6 + 0.1. Let w = 15 + -9.6. Let q = -5 + w. What is the nearest to 0 in q, h, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-3*21\/(-35)*5 + -19)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6948 - -12295. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1008))**2 - (sqrt(84) + (sqrt(84) - sqrt(84)*2))\/sqrt(12) - (1 + (sqrt(252)\/sqrt(4))**2).\nAnswer: 3968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 982191 and 2946573?\nAnswer: 2946573","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*g - 19*g + 192. Suppose -14*m = -9*m - 385. Calculate the remainder when m is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -396*c**5*g**2 + 74*c**5 + 46*c*g**2 - g**2 - 21 wrt c?\nAnswer: -7920*c**3*g**2 + 1480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-four fifths of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -3988*x**3\/3 + 1817*x**2\/2 - 22*x - 19. What is the derivative of z(w) wrt w?\nAnswer: -7976","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 429*c + 5160. Let b be v(-12). Solve -b - 10 = 11*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 9 - 3. Suppose z - 5*u - 161 = 0, -2*z = -c*u - 248 - 42. What is the remainder when z is divided by 72?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-2\/15))\/k**(1\/2))**38 assuming k is positive.\nAnswer: k**(361\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 10 - 0. Solve -4*b - 6*a + 11 = -3*a, 0 = -b + m*a for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03763 rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.05 (b) -0.4 (c) 75526 (d) 3 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -7. Let k = -2\/6965 - 6961\/13930. Let v = -0.5 + 0. Which is the nearest to k? (a) v (b) w (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7947079696 to the nearest integer?\nAnswer: 1996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g*g**(-2\/55)*g**(11\/4)*g assuming g is positive.\nAnswer: g**(1257\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -4 (c) 5 (d) 214 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 4*c + 14, -s + 2*c + 2 = 3*s. Let i be (0 + 1\/s)*4. Let d(v) = 2*v**i - v**2 - 27 + 27. Determine d(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 176084 and 8.\nAnswer: 352168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 + 15*p - 15*p - 3.\nAnswer: 3*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/2 of a gram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 15*y - 6. Let i(q) = q**2 - 14*q + 6. Let m(b) = -3*i(b) - 2*n(b). Let h = 19 - 8. Let t be m(h). Solve -8 = t*l - l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -934 from 533.142727.\nAnswer: 1467.142727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 12. Suppose 2*x - 18 = -2*l - p*l, -5*l = -4*x - 24. Suppose l*r = 0, 0 = 5*d - 2*r - 550 - 415. What is d rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1337 - -8?\nAnswer: 1340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**4\/8 + u**3 - 43*u**2\/8 + 29*u\/4 - 3 = 0.\nAnswer: -12, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**2 - 5*x**2 - 6*x**2 + 3*x**2 to n + p*x**2 + d*x and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 14*l**2 + 4*l + 4. Let y be i(-4). Let w = y - 145. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 1:08 PM?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is 2282 a factor of 34264326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 4*q + 5 + 6, 5*q + 34 = -3*v. Let x be (v\/(-6))\/(1\/6). Solve 4*r + g - 8 = -3*g, -x*r + 5*g - 2 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41655.\nAnswer: 3, 5, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*t - 94*t**3 - 9*t + t**3 + 6*t**3 + 0*t**3 + (0*t + 2*t + 0*t)*(0*t**2 + 3*t**2 - 5*t**2).\nAnswer: -91*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -406 by 14.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -26404*1\nAnswer: -26404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**4 - 100*h**3 - 4908*h**2 + 10100*h - 5096.\nAnswer: 4*(h - 49)*(h - 1)**2*(h + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*u + 48. Let p = -8 - u. What is the greatest common divisor of 10 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**0\/g))\/g**(-3\/5))**4*(g**(-2\/5))**(-42)*(g**(-2\/9)\/g*g)\/(g*g*g**(4\/7)*g) assuming g is positive.\nAnswer: g**(7373\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 38 = h, 78*h - 80*h = 3*q - 28. Solve 2*z - 5*d = 14, 5*d = -4*z - 0*z - h for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 - -21. Let b = 19.9 + d. What is the fourth biggest value in 0.5, 3, 0.2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -3\/8*c**4 + 2*c**3 - 1\/120*c**6 + 0 + 0*c + 7\/60*c**5 - 90*c**2. What is j(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -19*m + 365. Let t be (2 + -8)\/(2\/10). What are the prime factors of o(t)?\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200*k**2 + 187*k**2 - 146*k**2.\nAnswer: -159*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1367354?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 12*m**2 + 11*m + 4. Let i be j(11). Differentiate -195*g - 4*g**i + 7 - 4*g**4 + 195*g with respect to g.\nAnswer: -32*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 13*l**2 - 8*l - 85. Determine j(-13).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - w = 3, 243*f - 245*f + 3*w = -20. Let z(h) = 66*h. Calculate z(f).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 22*g**2 - 1 - 162*g + 32*g**2 + 149*g. Is a(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52*i**2 - 27*i**2 + 160*i**2 + (0*i + 0*i + i)*(0*i - 3*i + 5*i) + (-1 + 0 - 1)*(i**2 + 3*i**2 - 3*i**2) to q*i**2 + r + x*i and give q.\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a**2. Let x(i) = -i**2 - 5*i - 3. Let w be x(-2). Let s(q) = -1 + 0 + 1 - w*q. What is s(d(v))?\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -5. Suppose r*s + 4*s = -16. Sort s, -3, 1 in descending order.\nAnswer: 1, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26224984?\nAnswer: 2, 1019, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-8) - 38\/8. Suppose 2*d + d = -21. Let c = y - d. Which is smaller: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 166 + 254. Let n = w + 174. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -736*k - 5266. Give a(-7).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -11858, -11869, -11878, -11885, -11890, -11893?\n\"Answer: z**2 - 14*z - 11845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 118*b - 5. Let t(p) = -233*p + 12. What is 5*f(h) + 2*t(h)?\nAnswer: 124*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 140 = 5*j - 2*x, x = 5. Let c = 77 + -74. Sort j, 2, c in descending order.\nAnswer: j, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01638234 - 15938388.\nAnswer: -15938388.01638234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 i when two letters picked without replacement from {u: 3, i: 7, p: 2, s: 5}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135 + 897 = 55*h - 1163 for h.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - w + 2*b + 20, -34 = -4*w - 2*b. What is the smallest common multiple of w and 27 + (-1 - 2) - 0?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*n = 20. Let g = n + -5. Solve -m + 2*t - 3 = -g*t, -m + 4*t = 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/30 - (-402)\/10. Let d(l) = -l**2 - 9*l - 4. What is the least common multiple of d(-5) and (-6)\/4*i\/(-15)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 12*r = 1859. Suppose 307 = 25*u - r. What is the remainder when 645 is divided by u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 10*b - 5. Let t(z) = 11*z - 6. Give -2*t(s) + 3*w(s).\nAnswer: 8*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 2\/9, 1\/2, -886, 25, 13?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198079 is divided by 14145.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, m: 5, y: 2}. What is prob of picking 1 y and 1 m?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 905803502?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/3828 and 17\/244760?\nAnswer: 8077080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 35\/14*2 + 595\/(-375) + -3. Which is smaller: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + t = -v + 134, 124 = 4*v - 4*t. Let f(j) = -13 + 3*j + v - 15. Suppose 20*m = 27 + 53. Let h(d) = -2*d - 4. What is m*f(c) + 5*h(c)?\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 395 + -395.3. Which is the closest to -6? (a) q (b) 3 (c) -5\/3 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3\/10 + -11\/30. Put s, 0.3, -3 in decreasing order.\nAnswer: 0.3, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/8*360\/(-750)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14259 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -2. Suppose 0 = -5*t - b*t - 50. Let d(f) = 4*f. Let x(g) = -10*g + 7*g + 10*g. Give t*d(o) + 6*x(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/60 and 91\/264?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 66279203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 95, 261, 575, 1091, 1863, 2945, 4391?\nAnswer: 6255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12680680 = -4*q + 49603320. Round q to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 94490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 8 = -98*h, 67*h - 68*h - 3*d = 12 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -556, 7 in ascending order.\nAnswer: -556, 0, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - j - 4. Let h be f(0). Put -16, h, 1 in descending order.\nAnswer: 1, h, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 196 = 4*r + 524, 5*c = -r + 356. Calculate the remainder when 3296 is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 13*x**2 - 15*x - 20. Suppose 5*w - 5*c = -30, w + 16 = -w + 3*c. Let j be (-9)\/(-12) - w*153\/(-24). Is n(j) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2748, 58, 0 in increasing order.\nAnswer: -2748, 0, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.423 - 0.023. Which is the nearest to 0.3? (a) 2\/11 (b) 2\/3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/4 + 25\/10. Suppose -1 + 4 = -l, -u*o + 3 = 4*l. Let s(k) = 111*k + 916. Let g be s(-8). Solve -o*y - 4*p + g = 0, -p - 4*p = -3*y + 2 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 54*g + 392. Give d(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 712990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 4*q + 24, -5*o - 46153*q = -46155*q - 40 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*(10 + (-377)\/39). Which is bigger: w or -7\/817?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/24 and 121\/208884?\nAnswer: 417768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18509*c**3 + 29534*c**2.\nAnswer: -111054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b (base 13) in base 10?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10 + -13 + 2589\/8. Let p = 321 - i. Which is the nearest to -1? (a) -1\/3 (b) p (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 3:43 PM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -100 or -59505?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*k = 2*t, -3 = -3*k. Let x be (t + 2)\/(7 - 6). Suppose x = 3*g + 4*v - 4, -2*g + 5*v + 6 = -12. Solve -4*n = -2*r - 6, -4*r - 1 = r + g*n for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 6. Let g be 0 - (2 - w\/(-3)). Let n = 4.3 + -4. Sort g, 2\/3, n in increasing order.\nAnswer: g, n, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + v = -q - 6, 0 = -4*q + 3*v + 27. What is the greatest common factor of q and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 91453580 and 35?\nAnswer: 640175060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 53798.11km?\nAnswer: 53798110000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4 = 0, -3*l - l - 530 = -2*s. Does 30 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5)\/(-2))\/((-11)\/(-44)). Suppose 2*o + 2*m = p, -2*m = -4*o + 12 + 20. Calculate the greatest common factor of o and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -8. What is the closest to -2\/7 in -4, u, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27757443 to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 5 = 5*o - 3*l, 2*l + 20 = 5*o. Suppose 2*b = 3*x - 718, 7*b - 4*b = -o*x + 457. What is the remainder when x is divided by 79?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2*(a\/((a**(-4)*a)\/a))\/a*a)**23 assuming a is positive.\nAnswer: a**161","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*p**2 + 8*p - 8*p + (p + p - p)*(-3*p - 2*p + 7*p).\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1519 and 5177?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in -5, -0.1, 21\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6126435 days to weeks.\nAnswer: 0.0875205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 0.4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16 - 56 - 3*i**3 + 12*i + 15*i - 3*i**2 + 51*i.\nAnswer: -3*(i - 4)*(i - 1)*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 3 = -3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*x**2 + 15*x**2 + 1 - 54 - 2*x**2 - 3*x**2 to o*x**2 + d*x + b and give o.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -8. Let d = -47 + 52.4. Let m = i - d. Which is the biggest value? (a) -2\/7 (b) m (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*c**3 + 5*c**3 - 4*c**3)*(-10*c - 555*c + 79*c - 66*c - 577*c) as f*c**2 + l*c + g + y*c**3 + n*c**4 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from ffffffffffffffffsfff?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -0.4 (c) 4 (d) -1\/2 (e) -870 (f) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/336)\/(((-6)\/(-27))\/2)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 147036 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/6 - 4043*d**2\/6 + 680740*d + 681414.\nAnswer: (d - 2022)**2*(d + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 213865 to the power of 1\/2, to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 794324486 is divided by 164.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/22982685 and -57\/73310?\nAnswer: 45965370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, e: 1, x: 1, h: 1, k: 6}. Give prob of picking 1 e, 1 m, and 1 x.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -12*w + 30. Determine h, given that 10\/7*h**w - 8\/7*h**3 - 4\/7*h + 2\/7*h**4 + 0 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + 3 = 3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 2*p + 3*m + 8, -4*p = 3*m + 10. Let v(l) = -11*l**2 + l + 1. Give v(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2 - 15 - 14*q**2 + 9*q**2 + 9*q**2 + 3*q. Is m(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 277475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/4)\/(n*n**2*n*n)*n**(2\/5)*n**(4\/7)*((n*(n\/((n\/(n\/(n\/n**(-5))))\/n))\/n)\/(n\/n**(4\/3)))\/((n\/n**7*n*n)\/n**(-7)) assuming n is positive.\nAnswer: n**(-4387\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -19*t**2. Let p(i) = -6*i. Let w(u) = -u. Let m(h) = -p(h) + 5*w(h). What is r(m(v))?\nAnswer: -19*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2245720 and 600.\nAnswer: 33685800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = s + 4. Let b = 9 - s. Suppose b = 6*h - 10*h + 324. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiihhiihhiiihiiiiii. Give prob of sequence hi.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5184 and 3875904?\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 5*n + 1 - 8, 4*p - 1 = -3*n. Let u = p - -8. Suppose 0 = 3*r - u*r + 1065. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 180 and 568180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 27 - (-1760 - -1745)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 440598661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*n + 46*n = -157*n + 1400625. Calculate the highest common factor of n and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 110679 to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 9:31 AM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 12:56 AM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38799.200068 + -38799. Let q = -0.2 + s. What is q rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) 201 (b) -8\/5 (c) -2\/9 (d) 0.033\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -129*u**4 + 14*u**3 - 8*u**2 + 33 wrt u.\nAnswer: -3096*u + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -484*d + 2 - 6 + 488*d.\nAnswer: 4*d - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 + 2*v**2 + 2*v**2)*(v - 5*v + 0*v) + (-v**2 - 6*v**2 + 2*v**2)*(-2*v + 1 - 1).\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11949503?\nAnswer: 179, 241, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1969, 3924, 5879, 7834?\n\"Answer: 1955*a + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -226, -381, -536, -691, -846, -1001?\n\"Answer: -155*n - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 146, -0.1443 in descending order.\nAnswer: 146, 4, -0.1443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -105, 0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + x = 5*s, 0 = x - 5*s. Is (-6)\/(-21) + x - 3600\/(-42) a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -83, -166, -249, -332, -415, -498?\n\"Answer: -83*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1000103 is divided by 255?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43\/2 + 21. What is the closest to 2\/9 in u, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1148 is divided by 242.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18.1 + 2.1. Let n = 11321 - 11337.022. Let x = t - n. Round x to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31758076 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = -3*w + 9*w. What is the common denominator of (-26)\/w*((-455)\/84 - -6) and 109\/10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**0)**(-2\/33)\/((t**(9\/4)\/t)\/(t**(29\/5)\/t)) assuming t is positive.\nAnswer: t**(2303\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25481, 50875, 76269, 101663, 127057?\nAnswer: 152451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-550)\/35 - 4\/14. List the prime factors of 6*4\/p*(-6)\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4726, 9249, 13560, 17653, 21522, 25161?\n\"Answer: -n**3 - 100*n**2 + 4830*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 5:11 AM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1301 + -811.1301. Let b = d + 807.01. Round b to 1 decimal place.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117730862 a multiple of 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/5*((-9)\/2)\/(-9).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90116595278 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 6*x**2 - 1114485. Let b(q) = -q. Give b(d(f)).\nAnswer: -6*f**2 + 1114485","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v = -3*v. Let h be (-1)\/(-2) - 52\/(-8). Suppose 5*p = 15, 2*p + 9 = -2*g + h*p. Solve -g*q = -5*y + 37, q + v*y = -y + 1 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*u**2 - 3*u**4 - 9*u**2 - 120 - 34 wrt u.\nAnswer: -12*u**3 + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from zzqz?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 12:32 PM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**(-1)*d))**31\/(d**(2\/9)\/d*d*d**(-4\/7)) assuming d is positive.\nAnswer: d**(-3884\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 171044658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3551 - 5?\nAnswer: 3542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15576*b**4 - 518*b**3 - 47*b**2 + 599619*b wrt b?\nAnswer: 373824*b - 3108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1405203230?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -58\/9839719?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*t + 711 = 11*t + 191. Suppose -2*q - 2*i = -128, 3*i = 2*i - 1. What is the highest common factor of t and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 1:01 AM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 5*z**5 - 14919*z**4 - 242851*z**3 - 447081*z**2 + 242846*z + 462000 = 0?\nAnswer: -14, -11\/5, -1, 1, 3000","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, -0.1, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1086, 1094, 1102?\n\"Answer: 8*f + 1078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5381, -5368, -5341, -5294, -5221, -5116, -4973?\nAnswer: -4786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of m**6\/60 + m**4\/24 - 3*m**2\/2 - 4*m. Let v(l) be the first derivative of j(l). Find the second derivative of v(o) wrt o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 + 0*d**2 + d**2)*(-3 + 3 + 1)*(46 - 24 - 25).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 91*b - 22. Let k(p) = -p + 21732. Determine k(n(z)).\nAnswer: z**2 - 91*z + 21754","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 + 16. Let w = g - -13. Let s be -5 - -2 - 18\/(-4). Which is the nearest to w? (a) -0.5 (b) s (c) -1\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-10)\/(-12) + (-246)\/36 + 948?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**4 + 0*g**4 + 4*g**4)*(-6*g + 6*g + 3*g)*(2 - 3 - 1) + 18*g**4 - 18*g**4 + 4*g**5 + 13*g**5 - g**5 + 21*g**5.\nAnswer: 19*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 4. Suppose -t = 5*v - 23. What is the remainder when 16 is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, z: 2}. What is prob of picking 2 z and 2 g?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 290 = -5*t + 186, 3*t - 2*a - 286 = 0. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2004024 - 14?\nAnswer: -2004043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-16)*q*q)\/(q**(1\/7)\/q))\/(q*q**(-6\/7)*q\/(q**(-23)*q)))**15 assuming q is positive.\nAnswer: q**(-3705\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, a: 1, m: 2}. Give prob of sequence amtt.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -0*u - 2*k + 27, -5726*k = -5733*k + 91 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/16317159 and -12\/11?\nAnswer: 179488749","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 110 = 13*n. What is the remainder when 33 is divided by n + 1\/(0 + 2\/(-10))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 406 divide 125454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2361 divided by 3?\nAnswer: 787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47 + 53. What is the remainder when 23 is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k\/(k**(-15)*k))))\/(k\/k**(-13)) assuming k is positive.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -4, -7, 21.\nAnswer: -7, -4, 17, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153)*1 - sqrt(153))*-2 + sqrt(153))\/(sqrt(36)\/sqrt(324)).\nAnswer: 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 8*r**2 - r + 10. Let t be l(8). Let p be 483 - (-4 + (t - -1)). Suppose 3*u - p = -u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1028340215 to the nearest integer?\nAnswer: 1009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -544 - -547.39. Let n = 3.4045 - i. Round n to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.9284 + 0.0716. Let d = -9.0000924 + j. Round d to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 16*d**2 + 9*d + 34. Let j be b(-13). Let t = 193 - j. List the prime factors of t.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49*j**6 + 56*j**6 + 9*j**2 - 86*j**6 wrt j.\nAnswer: 2280*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 4*t - 16, -5 + 20 = 3*t. Solve 0 = -l + 1 + v for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(1539)*-2.\nAnswer: 90*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*x + 5*x + 4*x + 16*x to the form q + u*x and give u.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10651?\nAnswer: 10651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-148)\/(-962) - (-167)\/13 and 130?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + a - 5. Let i(v) = v**3 + 15*v**2 + 14*v + 2. Let t be i(-14). Suppose -t*c = -9*c. What is y(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -5*s**2 + 26*s + 1617. Let v(f) = -f**2 + 7*f + 1. What is -u(l) + 4*v(l)?\nAnswer: l**2 + 2*l - 1613","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 4*l + 1 = 0, -2*l = -3*n + 185 - 172 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 - -117. Suppose g - c = -19. Suppose 15 = -2*y - g. Round y to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/25 of a milligram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/31? (a) -1 (b) 5 (c) 3\/5 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14141.\nAnswer: 79, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 14120 (base 5) to base 14\nAnswer: 5cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b + 1. Let c(l) = -6*l + 548. Determine -c(f) + 5*k(f).\nAnswer: f - 543","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*q - 1285 = z - 1201, 2*z - 26 - 10 = q + 4*q + 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -141571 + 1.7\nAnswer: -141569.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a century in decades?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2722 - 2*k - 2723 - 311*k**3 + 300*k**3 - 4*k**2 as w + m*k**2 + l*k**3 + t*k and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 333, 1341, 3019, 5361, 8361, 12013, 16311?\nAnswer: 21249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 297 times -155\nAnswer: -46035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 157, 316, 475?\n\"Answer: 159*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/75158009 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3 - 1 - -7) + 52?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*q**2 + 8*q**3 - 6*q**2 + 2 + 63*q + 9*q**2 - 7*q**3 + q**4 - 4 in the form n*q + h*q**4 + b + a*q**3 + s*q**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29)\/(-87)*4*3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -1379.5?\nAnswer: 5518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, s: 2, q: 5, t: 2}. What is prob of sequence tu?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -12) + (20 - 5 - 9)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1918 is divided by 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33024634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 76*k**2 - 5*k + 1. Let h(s) = 76*s**2 - 6*s + 2. Calculate 4*a(m) - 3*h(m).\nAnswer: 76*m**2 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1748766.\nAnswer: 2, 3, 223, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -5*p**7\/42 + 5*p**6\/6 - 7*p**5\/4 + 5*p**4\/4 + 2*p + 37. Let s(u) = 0. What is u?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mw when two letters picked without replacement from mknwnnnmn.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 2 + 10*h**2 - 4.\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.5, 3, 4 in decreasing order.\nAnswer: 4, 3, 0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(505971\/10 + ((-3339)\/(-210) - 16)). Round m to the nearest 1000.\nAnswer: -51000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214 + 214 = -204*n + 39*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 39614610 to the nearest one million.\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 7:00 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -45, -101, -179, -279, -401, -545?\nAnswer: -711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3609.404 millennia in centuries?\nAnswer: 36094.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2384515km to meters.\nAnswer: 238.4515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m + 65. Let u(v) = 2*v**2 + 241. Determine x(u(f)).\nAnswer: -4*f**2 - 417","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -51750\/121 or -428?\nAnswer: -428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*k + 107 + 3 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/8 and 19\/1448?\nAnswer: 1448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-50)*2*-150*(-65)\/(-2925). Let m = 9 + -17. Let s be (2 - m\/(-3)) + 1. Is o smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.01 + -0.09. Let a = -0.028 - -1.028. Which is smaller: a or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 6*a = -22. Solve -a*n - 2 = j + 2*j, 0 = -2*n + 10 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 times 4\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.21 - 17.79. Let t = -21 - j. Let r be 1\/(1\/((-4)\/14)). Which is the nearest to r? (a) t (b) -0.4 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*5*4*3*(sqrt(320) + -2*sqrt(320) - sqrt(320))**2.\nAnswer: 460800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 37*m**2 + 233*m - 684. Let u be s(30). Solve 26 = -u*k + 2 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (-411 - -399 - (1 + 8))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13116 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 not equal to 4780\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 - 0.5. Let z = 3.7911 + -3.191116. Let q = x + z. What is q rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/8*25\/(125\/(-20)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 8*n**2 + 4*n - 17. Let i be p(-7). Suppose -4*g - 2*h + 78 = -4*h, i*g = h + 83. What is the lowest common multiple of 24 and g?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*c - 6. Suppose 2*r + 3838 = c*z, -5*z = -4*r + 2137 - 8531. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -409805331*x + 256536391.\nAnswer: -409805331","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1680?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 353, 715, 1715, 3677, 6925, 11783, 18575?\nAnswer: 27625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a millennium in decades?\nAnswer: 1075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3 + 724*v**2 + 19838*v + 131144.\nAnswer: -2*(v - 388)*(v + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3272?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**6\/a)\/(a**(-3\/4)\/a*a))**(-41)*(a*a**(-3\/7)*a**(-3\/7))\/(a**(-1\/4)*a**5) assuming a is positive.\nAnswer: a**(-3365\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -a**8\/20160 - a**7\/630 - a**6\/240 + 23*a**5\/20 - 2*a**2 + 54. Let x(t) be the third derivative of s(t). Determine x(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112876 divided by -134\nAnswer: 56438\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-seven quarters of a day?\nAnswer: 162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z - 39. What is i(-13)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3884*l**2 - 660920.\nAnswer: -7768*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 12072 = -0*y. Let p = y + -18298\/3. Let z = -64 - p. What is the second biggest value in 0.3, 5, z?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*c - 11. Let j(k) = -c*k**2 - 1155 + 1155. Let r(l) = -4*l - 2*l + 2*l. Give j(r(i)).\nAnswer: -32*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 5*u**2\/2 + 16258400*u - 32516805\/2 = 0.\nAnswer: -6503361, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/18 + 168\/27. Suppose 4 = 5*w - y. Let j(n) = -2*n**2 - n**w - n**2 + 2*n**2. Let h(b) = -2*b**2. Give h(j(t)).\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55577360, -55577359, -55577356, -55577351, -55577344, -55577335?\nAnswer: -55577324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-2 - (0 + 2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -79c - 1?\nAnswer: -7a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(459))\/(5*sqrt(15)\/sqrt(5)) + 2.\nAnswer: 2 + 9*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 294 - 293. Put -4, u, 28, 2 in decreasing order.\nAnswer: 28, 2, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/10)\/(22\/(-10)). What is the nearest to 2\/7 in -5, z, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104222334 (base 5) in base 6?\nAnswer: 13514041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1501334 (base 6) in base 7?\nAnswer: -505246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 5*g + 3 = -0*g, r - 3*g + 5 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42.28 + 750.02. Round m to the nearest 10.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -226.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**3 + 3*x - 3*x.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 84492.03 years in centuries?\nAnswer: 844.9203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.73 + -2.476. Round s to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/5 or -17\/7108?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (600\/100)\/((21 + -1)\/2).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*u + 7480 = 8320 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4 = 2. Let h = b + 11. Solve -5*p - 1 - 3 = -4*m, 2*p + h*m = 5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-161)\/69)\/(12\/36).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 244152 to the nearest integer?\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rbl when three letters picked without replacement from {b: 11, r: 1, l: 5}.\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -4*a - 4 + 1, 3*a + 5*t - 5 = 0. Let c = a - -2. Factor -4 - 4*m + m**3 + c*m - 2*m + m**2.\nAnswer: (m - 2)*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -3*f. Suppose 3*y = -3*c - f*y, 3*y = 0. Solve n + n - 6 = c for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2129 by -5.\nAnswer: -2129\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 50388 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {p: 2, t: 6}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -165.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 22*j - 20*j - 12, 8 = j + 2*b. Solve n + 4*p = -6, -5*p = j*n - 3*n + 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -11*x**2\/2 - 246. Give l(5).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 6:22 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*g**2*q**3*x**3 + 39*g**2*q**2*x**3 + 13875*g*q**3*x**3 - g*q**2 + 2*g*q*x**3 - 3*q*x**2 + 5*q*x wrt q.\nAnswer: -24*g**2*x**3 + 83250*g*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*w - 2*w + 5*w)*(4 + 2 - 1).\nAnswer: -90*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f + 15. Give l(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 + 6415*p + 834960.\nAnswer: 5*(p + 147)*(p + 1136)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 754887?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 94796 and 2368?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - c - 1)*(-2*c + 3*c + 0*c) - 4*c - 3*c**2 + 4*c to d*c**2 + i + l*c and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80\/(-112)*1617\/(-330).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + -2*sqrt(119))*2)\/(sqrt(7) + 3*sqrt(21)\/sqrt(3) - sqrt(7)) - (-6*(-1*sqrt(102) + sqrt(102)))\/(sqrt(54)*3).\nAnswer: -2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12031 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8975 and 1436?\nAnswer: 35900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5466578 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4641240?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -4*b - 4. Let v be o(-2). Suppose 23 = v*l - 3*u, l + 3*u = -2*u. Suppose 10 = l*h - 30. What is the highest common factor of 12 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -2*k + 1\/3*k**3 - 1\/2*k**2 - 5. Does 3 divide g(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*r + 10*r + 75. Suppose 23*i - 17*i + 66 = 0. Let z = i + r. Solve z*f = 2*d - 4 - 2, 0 = 3*d + 3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) + -1 + -2 - sqrt(1053)) + 3)**2 - -5*((sqrt(13) - sqrt(78)\/sqrt(54) - sqrt(13))**2 + 5).\nAnswer: 290\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1238)\/(-84) - 220\/(-2310))\/(-82) and -71\/54.\nAnswer: 4428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 b, and 1 k when three letters picked without replacement from {k: 1, r: 2, b: 2, f: 1, s: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 3*t + 6. Let c be 1\/2*2\/(-1). Let i be c\/(t\/2)*4. Calculate the greatest common factor of i and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3426787 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -86335, -5?\nAnswer: -86335","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 42685.94 centimeters in micrometers?\nAnswer: 426859400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 4*d - 2. Let y(t) = t**2 + t - 1. Determine a(w) - 4*y(w).\nAnswer: -3*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.3, -36, -0.2 in decreasing order.\nAnswer: 3, 0.3, -0.2, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01924698013 rounded to four dps?\nAnswer: -0.0192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrx when four letters picked without replacement from {x: 3, f: 2, r: 3}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -b501?\nAnswer: b504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100210 + -202?\nAnswer: -101012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 615 + -17?\nAnswer: 587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -13*j**3 - 3*j**2 + 3*j - 3. Let u(a) = -52*a**3 - 13*a**2 + 13*a - 13. Calculate 13*g(s) - 3*u(s).\nAnswer: -13*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 q when three letters picked without replacement from yyquy?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 6*g**2 - 4*g - 1. Let h be m(5). List the prime factors of (h\/6)\/(8\/192).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.047444 rounded to one decimal place?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.01 + 1.013. What is y rounded to four decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of x**5\/12 + 2*x**4\/3 + 7*x**3\/2 - 2*x**2. Let g(j) = -2*j - 4*j - j**2 - 4 + 3*j. What is 11*g(q) + 2*k(q)?\nAnswer: -q**2 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58483.\nAnswer: 233, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z**(-3)\/z)*z\/(((z*z**3*z)\/z)\/z)*z)\/(z*z**(-2\/7)\/z)**(1\/80))\/((z**(-1\/4))**26*z*z*z*z*z*z**(-3)\/z*z*z**(1\/6)) assuming z is positive.\nAnswer: z**(7843\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -59.066 to the nearest integer.\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 5*r. Let t be (4\/1 + -2 - 0)*2. Is w(t) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1319 - (-27 - (-128)\/8). What is the highest common divisor of p and 490?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*r**2 - r**2 + 3*r**2)*(0 - 1 + 4)*(86 + 33 + 32)*(r**2 + 3*r - 3*r) in the form n + k*r**3 + m*r**4 + g*r**2 + d*r and give m.\nAnswer: -906","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eesoeur?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.087 - 9.287. Let h = f - 5. What is h rounded to 0 dps?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*5\/((-35)\/(-7))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h**2 - 12*h. Let r(t) = -2*t. Calculate r(y(l)).\nAnswer: -6*l**2 + 24*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (32 - 17 - 19)*(4*c - 4*c - 3*c**2) + (-4*c + 3*c + 0*c)*(4*c - 2*c - c)*(7 + 2 + 6) to s*c + i*c**2 + q and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 444621?\nAnswer: 3, 148207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 + -105 + 27 + 3 + (-3 - 0).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/11, 3, 13\/7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 22*t**4 + 3*t**3 + 2*t**2 + 20*t - 3. Let q(x) = x**4 + x**3 + x**2 - x - 1. Let r(b) = -d(b) + 3*q(b). What is the third derivative of r(u) wrt u?\nAnswer: -456*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -f**5\/120 - 3*f**4\/8 + 34*f**3\/3 - 78*f. Let m(d) be the second derivative of x(d). Determine m(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9197 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7463 - 5123. Suppose 2*z = -4*y + 4*z - m, -10 = 5*z. What is y rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-8) - (7 - 7). Sort i, -1, -2\/13 in ascending order.\nAnswer: -1, -2\/13, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4920.687 micrograms in nanograms?\nAnswer: 4920687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3208*j**3 + j**2 + 4*j - 45748 wrt j?\nAnswer: 9624*j**2 + 2*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 9 = -2*r + 77, -220 = -5*r - 5*h. Suppose r = 3*b - 39. What is the remainder when b is divided by (-140)\/(-12) + -2 - 6\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/475*(0 + 5). What is the nearest to 1 in z, -1, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 79*z - 4972. Determine y(63).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 42*r = -31 - 57 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*l = -30*l + 25. Solve -l = 3*c + 10, -3*v + 3*c + 24 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 776861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2. Let f(n) = 5*n + 8 + 4*n**2 - 8. Let v be (7 - 5)*(-1 - (-28)\/8). Calculate v*y(r) + f(r).\nAnswer: -r**2 + 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 14*n - 103. Calculate a(9).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 15*m + 47. Let d be h(11). Solve -3*p - d*t + 12 = -0*p, -4*p + 16 = -t for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - 12. Let u(x) be the second derivative of 1\/36*x**4 - 1\/3*x**b + 4*x + 3\/2*x**2 + 0. Factor u(p).\nAnswer: (p - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10616 + 2?\nAnswer: 10618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 6*l + 3. Let x(p) = 2*p**2 - 11*p + 6. Let r(s) = 7*u(s) - 3*x(s). Let m be r(5). Let h = m - -32. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*c - 29*c = 4*w - 96, -18*c + 14 = -13*c - 4*w for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 3782?\nAnswer: 3\/3782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -74, -161, -282, -437, -626, -849?\nAnswer: -1106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-47 - 10)\/(4 - ((-190)\/(-40) - 0))?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c9c3d + 7?\nAnswer: -c9c36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 6*u = -12. Suppose -u*v + 72 = 5*f - 173, 0 = -v. Does 21 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p + 58. Let y be j(-16). Suppose 87*g - y*g + 72 = 0. Calculate the remainder when 167 is divided by g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3 + 2\/((-4)\/(-102)) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 212*z - 8227. Calculate p(39).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.75 - 1.5. Let b = o - 0.44. Let j = b + 0.190044. Round j to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17528485121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 - 12 = 2*h. Let q = 22 - h. Suppose -q*g = -g - 62. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158523221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zffzaafkfkaacz. What is prob of sequence aa?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04 + -373.\nAnswer: -372.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 25209405797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6043073?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5*u + 2 = 4, -3*o + 2*u + 41 = 0. Calculate the remainder when 97 is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -58, -2, -5, -9, 7 in descending order.\nAnswer: 7, -2, -5, -9, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 86301 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -342 divided by 114?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-120)\/(-14))\/1)\/((-11545)\/64652)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -224413?\nAnswer: -224413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 35*f**2 - 9*f - 9. Let s(q) = 34*q**2 - 10*q - 10. Let r(d) = 3*i(d) - 2*s(d). Let l be r(-5). Suppose -6*u + 1513 = -l. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 16 = -0*y + 4*h + h, 0 = -4*h for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 833011583 to the power of 1\/2, to the nearest integer?\nAnswer: 28862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39*s + 20*s - 185 - 119 for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 4*s - 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 z when two letters picked without replacement from kzkzkkzkzkvkkk?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**2 - 752*m\/3 - 1432 = 0.\nAnswer: -358\/3, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.6+1256838959704\nAnswer: 1256838959704.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23318 - 12045. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by -13095.\nAnswer: -23\/13095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 8. Suppose 0 = 2*j - 1 - 1. Sort -2, j, q in decreasing order.\nAnswer: j, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -6269?\nAnswer: 12538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*c**2 - 12*c**2 + 43*c**2 + (-2*c + 3*c - 3*c)*(1 - 1 - c).\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/2 - (-2 - 1). Let i(r) be the third derivative of r**4\/8 - r**3 + 686*r**2 - 1. Determine i(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-13700)\/(-40)*8\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**4*(k\/k**(-3\/4))\/k assuming k is positive.\nAnswer: k**(19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/207 and -139\/95680.\nAnswer: 861120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1159 + -600. What is the remainder when d is divided by -2 + 34 - 8\/2?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -17, 16, 65, 124?\nAnswer: 187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 148207?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -5*u - 36. Let g be o(-8). Suppose -2*j = -8 + 2, -g*j + 174 = -2*c. Let h = -77 - c. Solve 6*f - h*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(66)\/sqrt(6))*1.\nAnswer: 1 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 910554733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -103, -5?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - 2*o + (71 - 6 - 12)*(-3*o - 2 + 2) + (6*o + 4*o - 4*o)*(0 + 4 - 2).\nAnswer: -149*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 9*o + 35. Let b be d(-12). Which is greater: b or 1\/372?\nAnswer: 1\/372","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = n + 5*q, -4*n + 11 + 69 = -2*q. Which is smaller: n or 43\/2?\nAnswer: 43\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = 5*p, -f + p - 331 = 3*f - 307 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-six fifths of a century in months?\nAnswer: 18240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32838*x**4 + 111*x**3 - 498381*x - 2 wrt x.\nAnswer: 394056*x**2 + 666*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 328 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 + 14748*b + 73690.\nAnswer: 2*(b + 5)*(b + 7369)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -9*f + 6. Let v(o) = o**3 + 12 - 11*o**2 - 4 + 0*o**3 + 0*o**3 + 9*o. Let y be v(10). What is the tens digit of a(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 + 2)*((2*d - 3*d - 2*d)*(-1 - 2 + 5) - 3 - d + 3)*(-13 - 6 + 2 + (1 - 3 + 1)*(0 - 1 + 3) + 2 + 2 - 6) in the form h*d + g and give h.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6505039 and 10203.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*a + 2*h - 17, 0 = 3*a - h + 11. Suppose 13 - 41 = -7*c. Sort -1, c, 1, a in descending order.\nAnswer: c, 1, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 10:58 AM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 102858 and 46221?\nAnswer: 7302918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -89 + 791. Is 26 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 246933 and 18.\nAnswer: 493866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, i: 1, c: 1, n: 1, e: 2, y: 1}. What is prob of picking 1 i and 1 e?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -2615490 to the nearest 100000.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3203 + 123022122?\nAnswer: 123012313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 14 = -5*s, 5*s - 5*q + 10 + 0 = 0. Let f = s - -3. Solve 3*i + 5*w + 0 = -32, -f*w = 4*i + 36 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 36166.37ng?\nAnswer: 0.03616637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-7)\/((-42)\/(-20)) - -2)\/(28\/21). Is -4\/10609 greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242*f - 236*f - 2460 = 0. What is the remainder when f is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6, -95, 130152.\nAnswer: -95, 5, 6, 130152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20598 and 8.\nAnswer: 82392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/(-165)*3\/(-2).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35452 + -35450. Solve -k*l = -5*p + 9, 5*l = 40*p - 35*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5452*x - 142962 - 159029 + 73864 = -10047 for x.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 - 781294*g + 53137240.\nAnswer: -2*(g - 68)*(g + 390715)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49.5 + -49. Let m = -2673\/4 + 668. Which is the third biggest value? (a) -10 (b) m (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 11*g**2 - 95*g - 248. Let w be t(-10). Solve w = 8*b + 554 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 192 and 88?\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-15)\/2)\/(30\/(-280)) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001237952 to 5 dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2604499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1136 + 1399 = 195*h for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 67.34713 * -15\nAnswer: -1010.20695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -364 + 355 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36309787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 38, 5, 4, -1, -1230.\nAnswer: -1230, -1, 3, 4, 5, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - c + 82, 3*c = u - 3*u + 86. Let m be (60\/u)\/(0 + (-3)\/(-4)). Solve 3*h = b - 3*b - 4, 2*b + 14 = m*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 183.2803 tonnes?\nAnswer: 183280300000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/12)\/((225\/60)\/(-3))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 3*k = -5*w - 8, -3*w = k + 5 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w - 7. Let m be f(-8). Let x = -3 - m. List the prime factors of (-244)\/x - 2\/(-3).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 695*s - 96605\/2 - 5\/2*s**2 = 0. Calculate s.\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*b - 14*b + 16 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 3*t**2 - t - 3. Let a(z) = z**3 - 4*z**2 + z + 4. Let r(j) = -3*a(j) - 4*b(j). Let p(u) = 4*u**3 + 3*u + 4. What is -p(n) + 3*r(n)?\nAnswer: -n**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 48416, 48414, 48422, 48446, 48492, 48566, 48674?\n\"Answer: g**3 - g**2 - 6*g + 48422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*w - 7. Let u = -69 - -71. Suppose -u*l - 18 = -8*l. Sort l, w, -1, 2 in increasing order.\nAnswer: w, -1, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*f**4 + 188*f - 148*f - f**3 + 3*f wrt f.\nAnswer: 144*f**2 - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 242 + -39?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11094729?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 12 = -g - 3*g, 0 = -3*j - g + 16. Solve -j*v = -4*s - 12, 0 = -4*v - 3*s + 26 - 7 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.29299 - -0.28362094963\nAnswer: 0.57661094963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4475483503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(330)\/(1*sqrt(6)))\/(sqrt(77)\/(-1*sqrt(7))).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 + 5*m**2 + 5*m**2 - m**2 - 1.\nAnswer: 9*m**2 + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 1 = -5*n + 40, -5*s = -2*n - 24. Suppose z + 2*z = -5*q + 24, -4*q = -2*z - s. Suppose 0*y + z*y - 6 = 0. Solve 0*m + y = m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32828605?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*z + 20*z + 25 = 0. Suppose z*v = 606 + 654. Is 36 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*k**2 - 15 + 15 + k**2 + 647 - 647 + 13*k + (1 - 2*k**2 - 1)*(0 + 1 + 1) + k - k + 2*k**2.\nAnswer: 7*k**2 + 13*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1308 and 1893.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 17*x + 20. Let w be (-3)\/(33\/18 + -2). What is the least common multiple of 9 and a(w)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/2)\/(((-9)\/(-3))\/1). Let p(j) be the first derivative of 6 + 1\/36*j**6 - 7\/18*j**3 + 3\/8*j**4 - 1\/6*j**5 + 0*j + u*j**2. Let p(q) = 0. What is q?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2448))*-2.\nAnswer: -24*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -p**6\/180 + p**5\/90 + p**4\/36 - p**3\/9 - p**2\/2 + 4. Let b(j) be the second derivative of c(j). What is h in b(h) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 0 - ((-24 - 1) + -167 + 184)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 37*j**3 + 10*j**2 + 10*j + 1. Let z be d(-1). Let y(l) = 7*l + 258. Calculate y(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1802707 rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142 - 132 = 2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 233413 rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 1 - 5*n**2 - 7*n**2 + 11*n**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 302\/3*a**2 + 290\/3*a - 4 = 0.\nAnswer: -1, 6\/151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13440 and 315?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26744344 divided by -338536.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 s when two letters picked without replacement from qqjoqesqqsjqje.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, u: 5}. What is prob of sequence uxx?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -5*m - 35, -2*m - 14 = 8*z - 11*z. What are the prime factors of (-7)\/m - -122 - 1?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 4*v - 8. Let p be x(7). Suppose -4*b - b + p = 0. Suppose -5*l + b*t = 17, -13 - 6 = 3*l + 2*t. Round l to zero decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11*61\/(-3)*(-2)\/(-44)*(-2082)\/(-347)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 186560 divided by 4664.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8988, 9925, 10862, 11799?\n\"Answer: 937*q + 8051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25202 is divided by 615?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -17, -3, 7, -0.05?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 572 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123 - 355 = -z + 5*d, -28*z + 292 = -d + 329 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2. Let f(k) = -11*k + 4. Let p = 228 - 226. Let a(d) = 174*d - 66. Let h(g) = p*a(g) + 33*f(g). What is s(h(m))?\nAnswer: 225*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 3*i + 24 = 0, 25*i - 14*i - 14 = 3*a + 7*i + 4 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 51025 - 137?\nAnswer: 50888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 6. Let n = w + -0.7. Which is the nearest to 0? (a) -2 (b) n (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -468 divided by 76?\nAnswer: -117\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 754358092?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 10:49 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -31*o - 21. Let i be d(-7). Suppose -i = 4*l - 0*l. Is -49 at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -901*l**6 + 3269*l**3 + 2501*l**2 - 10254*l.\nAnswer: -108120*l**3 + 19614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -6. Suppose -o**3 + 5*o**5 + o**5 + 16*o**4 + 11*o**3 - a*o + 2*o**3 = 0. Calculate o.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 544\/(2 - (-31245)\/(-15625)). What is x rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -63\/2 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26 - -2) + (276 - 247) + -57.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/2*((-65)\/15 + 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*h - 8 + 11*h + 8*h**2 + 10*h**2.\nAnswer: 2*(h + 2)*(9*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37 divided by 108043\nAnswer: 37\/108043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 8.7.\nAnswer: 0.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 160, 166, 176, 190, 208?\nAnswer: 230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express i - i + i in the form l + r*i and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 d when three letters picked without replacement from {i: 2, m: 2, w: 2, d: 4, n: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 2:30 AM?\nAnswer: 642","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: 2 + 564\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p + 119. Is w(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a\/(a\/a**(-5\/3)))*a)\/a**(-1\/11)*a**(-3\/14)\/((a**(19\/4)*a)\/a*a) assuming a is positive.\nAnswer: a**(-2963\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v\/(v*v**(11\/4)\/v)*v**(-18) assuming v is positive.\nAnswer: v**(-75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1160475 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -18*q**2 - 9*q + 2. Calculate x(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1914*y**2 + 917*y**2 + 1032*y**2.\nAnswer: 35*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4629 (base 10) to base 15.\nAnswer: 1589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -8*q**3 + q**2 + q. Let y be i(-1). Suppose -y = -4*t + 6. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 10 + 6*d + 0*d**3 - 1\/10*d**5 + 1\/30*d**4 + 0*d**2 + 4\/75*d**6. Let i(a) be the first derivative of u(a). Factor i(p).\nAnswer: 2*p**2*(p - 1)*(4*p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of 7*s**6\/80 + 2*s**5\/5 + s**4\/4 + 5*s**2. Solve x(b) = 0.\nAnswer: -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2721922 is divided by 1084.\nAnswer: 1082","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -2*s - 8, -2*s = 5*k - k + 6 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2055 and 406914660?\nAnswer: 2055","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of 2*s**3\/3 + 24*s**2 - 83*s. Let f be u(-8). Calculate the greatest common divisor of f and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 7*h**2 - 9*h + 10. Suppose -2*i = -6 - 10. Let j be x(i). What is the nearest to -1 in 0, 3, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 2*a - a)*((-6*a + 5*a + 3*a)*(1 - 1 - 2) - a - 2*a + 0*a).\nAnswer: 14*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10673 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wf when two letters picked without replacement from wwiwwiwiwififw.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 753600 rounded to the nearest ten thousand?\nAnswer: 750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 868 - 2437 = -5*v, 0 = -5*v + 25. Is h less than 4106\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - 20 - (78 + -2 - (9 + -3))?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2884900.\nAnswer: 2, 5, 17, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 12:11 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.17 + 10.17. Sort 2, -0.5, d in descending order.\nAnswer: d, 2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2312*a**5 + 23528*a**4 - 41770*a**3 - 289508*a**2 + 1260174*a - 1391112 = 0.\nAnswer: -4, 3, 139\/34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 546129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-426)\/(-6))\/((-1)\/(-2)). Let v be (-2)\/(-6) - g\/3. Let q = v + 83. Does 18 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.6 + -4.548824.\nAnswer: -2.948824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21003*s - 206136*s - 108355*s - 68620*s.\nAnswer: -404114*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 190 - 160. What is the nearest to h in 0.1, 2\/7, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6561 and 162?\nAnswer: 13122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**3 + 9*n**2 - 6693*n + 45728. Determine t(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 32, 92, 188, 326, 512, 752, 1052?\nAnswer: 1418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 422 - 413. List the prime factors of (-99)\/(-66)*4800\/t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - z = 8 + 9, 4*z + 20 = 0. Let v(t) = -3*t. Let j(h) = -2*h. Let w(g) = o*v(g) + 5*j(g). Let y(s) = -s. What is w(y(a))?\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 9:26 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66302610 is divided by 11475.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 411*u**3 + 2*u**2 + 3*u - 3. Let g be b(1). Let k = -408 + g. Solve -2*v = 2*h - v - k, 2*h + 4*v - 14 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1657773*i*p**2 - 2*p**2 + 3*p + 1542 with respect to i.\nAnswer: 1657773*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of s**8\/588 + 4*s**7\/735 + s**6\/210 + 9*s**2\/2 + 10. Let u(x) be the second derivative of q(x). Solve u(d) = 0 for d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**4)**(-2\/15)\/(z**(-2)\/(z*z\/(z\/z**(-25))*z*z)))**(-26) assuming z is positive.\nAnswer: z**(8008\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 273836 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: List the prime factors of 15661.\nAnswer: 15661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 208103243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 0. Let u(t) = -10*t**5 - 31*t**4 + 31*t**2 - t. Let r(d) = -3*d**3 + 2*d**5 + 3*d**3 + 6*d**4 - 6*d**2. Let j(l) = a*u(l) + 11*r(l). Factor j(z).\nAnswer: 2*z*(z - 1)*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 0.4 (c) -0.06 (d) -259\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 99572 and 484?\nAnswer: 1095292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*h**3 + 412*h**3 + 1 - 534*h**3 - 1.\nAnswer: 16*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1184*k + 1187*k = 15. Factor 2*p**k - 2*p**3 - 8 - 151*p**4 + 0*p**3 - 24*p + 157*p**4 - 22*p**2.\nAnswer: 2*(p - 2)*(p + 1)**3*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 299846481 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -14*v - 17. Let g(x) = -3*x. Let a be g(2). Let d(q) = 5*q + 6. Calculate a*z(b) - 17*d(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2*m - 16, 5*m + 5 + 7 = -d. What is the common denominator of 18\/d*21\/(-15) and -151\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.99 + -0.17. Let s = d - -1.66. What is the second smallest value in -3, 2\/3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24701 = -615*v + 3864 + 18790 for v.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-63 - (26 - 13)) + (1 + 13 - 7)\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 792*p - 806*p + 47698 = 0. Is p 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 6 and 504?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 2*v. Let a be g(2). Let o = -3 + 17. What is the smallest common multiple of (-2 - -4) + (0 - a) and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -4. Let l(z) = -3*z + 688 + z - 690. Let m(a) = -2*a - 2. What is j*m(t) - 2*l(t)?\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**5 - 39*j**4 + 435*j**3 - 1081*j**2 + 1008*j - 324 = 0.\nAnswer: 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -6. Suppose 5 = n + f, v*f - 8 = -2*n + n. Which is the closest to 0? (a) n (b) 4\/7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -15*f - 291. Suppose 346 = -8*t + 154. What is the remainder when g(t) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44 and 484?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/135? (a) 3\/5 (b) 614 (c) -101\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/27, 14, 3 in ascending order.\nAnswer: 2\/27, 3, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/(-3)*6\/90.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6751373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1963 by 1.\nAnswer: -1963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2634*z - 51704 - 137944 = 0 for z.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 5\/2. Let m = 6 + -8. What is the biggest value in 1, m, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**8*z)*z*z**1*z)\/((z*z**(-9)*z*z)\/z**(-8)) assuming z is positive.\nAnswer: z**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108, -215, -324, -435, -548, -663?\nAnswer: -780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*k**4 - 65*k**4 - 2*k**2 - 77*k**4 + 0*k**4 - 5*k**4 + 3*k**4 + (k - 4*k - k)*(k**3 + 3*k**3 - 2*k**3).\nAnswer: -161*k**4 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 108 - 172 = 0. Is m a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 24540846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 1 (c) 1\/3 (d) -3\/4 (e) -0.3 (f) 5822 (g) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11192051 times 0.2\nAnswer: 2238410.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*q - 68684 - 10052. Solve -q = 4*x - 2816 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 933119 - 933035.9994. Let o = 83 - y. Round o to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 8:35 PM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-1542)\/(-1285))\/((-7)\/(42\/(-54))*-1)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -119521*y**2 - 25*y - 4115707 wrt y?\nAnswer: -239042*y - 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2755441274?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/(-5) - (-3 + 8). Let s(f) = -36*f**2 - 16*f - 11. Let v(b) = 7*b**2 + 3*b + 2. Give x*s(g) - 11*v(g).\nAnswer: -5*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/((-9)\/(-270)*3). Let r(p) = -c - 32 + 72 + p. Let m(b) = -12*b - 7*b + 7*b. Give m(r(z)).\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 14*t**2 + 22*t + 32. Let l(m) = 5*m**2 + 7*m + 11. Let h(o) = 8*l(o) - 3*z(o). Factor h(y).\nAnswer: -2*(y + 1)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 15 = 9*n. Sort 4, n, -5, -1 in descending order.\nAnswer: n, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r - 2*t + 3, 239 - 248 = -5*r - t for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t - 19. Let c be w(7). Suppose -4497 = c*d - 3*v, -5*v - 6755 = d + 2*d. What is d rounded to the nearest 100?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228474059.\nAnswer: 11, 991, 20959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 30*u. Let j(g) be the first derivative of 13*g**2 + 2*g + 2947. Determine j(y(w)).\nAnswer: 780*w + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19129815?\nAnswer: 3, 5, 425107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260 = 3*o + o. Suppose 0 = 12*n - 167 + 35. Calculate the remainder when o is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 13*o + 19. Let q(n) = 13*n - 1. Let u be 1 + -2 - (-7 + 7). Let w be q(u). Does 3 divide i(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 26671?\nAnswer: 266710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11022 + 2?\nAnswer: 11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -87.014 to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of c**6\/55 - 6*c**5\/55 - 7*c**4\/22 + 34*c**3\/11 - 72*c**2\/11 - 1528*c. Solve d(w) = 0.\nAnswer: -3, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67566 is divided by 33375.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 349929809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 39*o - 283707 - 273954. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**3 + 13*y**2 + 10*y + 9. Let g be c(6). What is the greatest common divisor of g and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 e when two letters picked without replacement from xnxnnenxnnnnnxeeeeen?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 9*o + 31. What is h(6)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 114, 136, 182, 258, 370, 524, 726, 982?\n\"Answer: z**3 + 6*z**2 - 3*z + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2526)\/110 - 8*7\/1540?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 705e0b (base 15) to base 2\nAnswer: 10100010110101001101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 195, 5, -5, -18, 3, -1 in ascending order.\nAnswer: -18, -5, -1, 1, 3, 5, 195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70703717?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 17 - 19 = 0. Let z be (-25)\/k - 8\/(-36). Solve -z + 1 = -2*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16438 rounded to the nearest one hundred?\nAnswer: -16400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + -3. Let l be (31 - 37)\/(6 - (-16)\/12*-3). What is the smallest value in i, l, 2\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, -366\/149, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 174 (base 8) to base 4.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -79*z + 293. Calculate f(4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 2 = 20. Solve t = -5*y + 11, -7 = -h*t + 5*t - 5*y for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from wwwywwwwywywwyywww.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/13 - (1 - -2). Let y be (48\/p)\/(-4 + 2). Let j(w) = -w + 2. Calculate j(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 + -38. Solve -3*l - 5 = x, 2*l = -u*x - 3*x - 8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away 31773?\nAnswer: -31772.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - 13 - -5 - (-27 - -16).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -7*q**2\/2 - 2. Let w(b) be the first derivative of b**2\/2 - 1. What is w(t(s))?\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*b + 8*b. Suppose 5*u - 5*c - 70 = -b*c, -5*u + 62 = -c. Let a = -175 + 259. Calculate the greatest common factor of a and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 585, 3610, 11743, 27504, 53413, 91990, 145755?\nAnswer: 217228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 42 = -2. Calculate the least common multiple of b and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*h - 6*h + 7 = 0, 2*y - 54 = 2*h. Suppose -67 + y = -4*i. What is the remainder when 42 is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 - (55 + 78 + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/395 in 31320, 2, -0.3, -0.1, -2\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 160*u**2 + 68. Let p(c) = -7*c**2 - 3. What is -136*p(t) - 6*r(t)?\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-12)*g**(1\/23)\/g)**(-31) assuming g is positive.\nAnswer: g**(9238\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1297 is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 4*w + 2*w)*(2*w - w + 244 - 207).\nAnswer: -w**2 - 37*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 11*j**2 + 5*j - 45. What are the prime factors of f(10)?\nAnswer: 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1475 - 914. Let s be 18\/(-4)*44\/h. Put -5, -0.3, 0, s in descending order.\nAnswer: 0, -0.3, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 6:00 PM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 5*r = -1, r - 10 = -3*k + 5*r. Solve 2*u + k = -0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*w + 2*w + 4*w)*(-2*w + 0*w + w) - 9*w**2 + 5*w**2 + 2*w**2 + 3 to k*w + o*w**2 + d and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49 - -54. Let l = 39 - 20. Solve -2*w - l = 2*q + w, -k*q = 4*w + 37 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -478 = -17*u - 22518*b + 22517*b, -u - 4*b = -36 for u.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.32 - -66.72. Let z = -73 + w. Let k = z - -10. Are 1 and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2 + 5*(sqrt(200) + (-3 + sqrt(200) + sqrt(200) + -1)**2) + -1.\nAnswer: -750*sqrt(2) + 4073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -15. What is the units digit of (-2)\/4 + (-54)\/g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 3, 0, -10 in descending order.\nAnswer: 5, 3, 0, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303735 is divided by 4978.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5892, -11783, -17682, -23589?\nAnswer: -29504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 5*v - 10*v - 5, -1 = 4*s + v. Suppose 3*j + s - 15 = 0. Let n be (-5)\/6*4*-9. Calculate the greatest common factor of j and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5802 less than 5804?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5*(-1)\/((-15)\/6). Let r = 1 + g. Let t be 34 + r\/6*-2. Solve -5*v = 4*z - t, -5*v + 4*z + 3 = -14 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/92*(-4)\/(-3). Let z = 24\/253 - x. Let o = -18 - -20. What is the closest to 0 in 2\/3, o, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181719217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**15*h*h*h*h**(-31)\/h*h)\/(h*h**(2\/15))**(4\/5) assuming h is positive.\nAnswer: h**(-1043\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -104 - -54. Let y be (-21)\/(-5) - (-10)\/r. Suppose -o = -3*l + 4, 5*o + 2 = 2*o + y*l. Solve 0 = -3*k + 7 + o, -4*k + 22 = 2*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i**2 + 2. Let f be w(2). Let p = 20 + f. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 19244544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 k, and 1 y when three letters picked without replacement from dkyjhty.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tbtw when four letters picked without replacement from tbftfwtbbt?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108 and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 473 is divided by 48.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 30685?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**4\/7 - 10908*s**3\/7 + 11263146*s**2\/7 - 11230432*s\/7 - 22504488\/7 = 0?\nAnswer: -1, 2, 1382, 4071","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23270 is divided by 1384.\nAnswer: 1126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45 and 350.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 + 0)*(2*k**3 + 2*k**2 - 2*k**2) - k**3 - 1 + 1 - 106*k - 154*k + 2*k**3 + 34*k)*(-3 - 2 + 3).\nAnswer: 2*k**3 + 452*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -2*f - 18, 0 = -4*f + 3 + 1. Let b be p + (-2)\/(-2)*2. Solve 0*v - b = 2*l + v, 0 = -5*l - 3*v - 31 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - p = 0. Let z(o) = 3*o + 50. Let h be z(-14). Solve p = -s - 3*s + h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 16 = -2*z. Let k = 9 - z. Let r = -4 - -4.4. Sort k, -2, r.\nAnswer: k, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 200878298 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 35\/4. Calculate the common denominator of s and ((-786)\/216 - -1)*(0 - -2).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4411357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 61304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t**2 - 30*t - 162. What is the thousands digit of j(-25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 59, -1242, -5, -3 in ascending order.\nAnswer: -1242, -5, -3, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*g + 25*g - 2 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 5*b**2 - 2*b + 3. Let k be o(4). Let i = 14 - k. Suppose 0 = -i*n + 228 + 99. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -154, -226, -294, -358, -418, -474?\nAnswer: -526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**3 - 13662*x**2 - 411885*x - 3094200 = 0. What is x?\nAnswer: -15, 4584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -881 (b) 7 (c) 9 (d) 1\/2 (e) 2 (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2498 and -0.2?\nAnswer: 0.4498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 19 - 53 = 0. Let p be 3*8*f\/(-18). What is the highest common divisor of 40 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 288.000022 + -288. Round q to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 9 + 1 = d, d = -a + 7. Differentiate 267 + 6*q**3 - 234 - 19*q**a wrt q.\nAnswer: -39*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (62 + (-74 - -52) - (-11 - (-4 - -2)))\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3784, -3782, -3780, -3778, -3776?\nAnswer: -3774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 7*g = 0. Let z(k) = g*k**2 + 8*k**2 - 2*k**2 - 1. Let n be z(1). Calculate the greatest common factor of n and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 32388.5.\nAnswer: -16194.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = 14*o + 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 55 + -55.3. Let g = -1 + -1. Let n = -2\/13 - -21\/52. Which is the nearest to g? (a) t (b) 0 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-1\/2))\/h*(h**(-14)\/h)\/h*h*h**11*h**12 assuming h is positive.\nAnswer: h**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -q - 18, -2*j = 3*q - 8*q - 54. Calculate the remainder when (86\/4)\/(q\/(-72)) is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 72 = 48. Let w(o) = -o**3 - 9*o**2 - 11*o - 19. Let f be w(t). Let k(l) = -2*l - 4. Let x(a) = -2*a - 3. What is f*x(y) - 4*k(y)?\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*q - i, 5*q + 45*i - 21 = 46*i. Calculate the common denominator of 1\/42 and (q - 68\/12)\/(56\/(-82)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -2, 8*f + 64*d = 3*f + 62*d + 29 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 394514, 1578169, 3550950, 6312851, 9863866?\n\"Answer: -h**3 + 394569*h**2 - 45*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -14.7. Let n = 0 + -0.3. Let m = q - n. Which is the smallest value? (a) m (b) 1\/3 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -7*j + 310. Let n be (-4)\/8 - 41\/(-2). Let o be (775\/n)\/((-1)\/(-4)). What is the greatest common divisor of o and j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4018 and 31703.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.195951 and 9190.\nAnswer: 9190.195951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b. Suppose -3*g - 8 = g, -w = -g - 117. Let t = 183 - w. Let s(n) = t*n - 39*n - 33*n. What is j(s(x))?\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -0*v + 381 - 368, -4*t - 8*v = -120 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 932\/(688\/(-844) + 1). Let h = n - 48642\/13. Let d = h + -1288. Which is bigger: d or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8.312 * 30\nAnswer: 249.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*k + 21*k - 29*k. Solve k = -4*g - g - 20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 20\/7*n**2 + 2\/7*n**3 - 60\/7 + 38\/7*n = 0.\nAnswer: -6, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -y**3\/3 + 120. Let h(q) = q + 3*q - 5*q - q. Calculate h(p(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1276 and 8?\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 26151026623555 + 1.2?\nAnswer: 26151026623556.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -76, -4.\nAnswer: -76, -4, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 16 = o. Let h = -5477 + 5621. What is the highest common factor of o and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*481.6\nAnswer: -144.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1438 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: Solve -7*g = -12*g + 25 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*k + 17 = 56 + 42. Which is the nearest to 49? (a) k (b) 4\/5 (c) 1\/6 (d) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6773141827?\nAnswer: 6773141827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -26, -1, -1517, 15 in increasing order.\nAnswer: -1517, -26, -3, -2, -1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-3))\/((-13)\/117).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, -228, -1\/6, -2\/15, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(9\/21)*-2. Let j = -8 - c. Solve 5*t + 24 = -4*l, -5*l + j*t = t - 15 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 - -8)*(-19)\/(-1)*(-680)\/(-15). What is the highest common divisor of p and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of d**2 - 7*d - 3. Let i be v(5). Solve i*q + 2*q = -25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*-1*4\/936*18?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 696 and 15080.\nAnswer: 45240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 1 + 1)*(2*i**2 + 3 - 3) + (0*i - i - i)*(9*i**2 + 171 + 2*i - 171).\nAnswer: -14*i**3 - 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(6\/11)\/p**(-7\/2))\/(p**14)**(12\/11) assuming p is positive.\nAnswer: p**(-247\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25094 + 25094 + 2*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 8:58 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**2 + 3*x - 9. Let d(v) = -v**2 - 3*v - 6196 + 6195 + 4*v. What is 3*d(m) - z(m)?\nAnswer: -m**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/28*9)\/(8\/320*30).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 104 - 104 - 23*m**2 in the form d*m + r*m**2 + h and give r.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 6*t - 10. Let b be o(-5). Sort b, 5, 12, -2 in descending order.\nAnswer: 12, 5, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 318*l**2 - 9*l + 4. Let r be a(3). Let p = r + -28449\/10. What is the common denominator of p and 0 + -16*2\/(-14)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/90*1\/(-4).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + n - 6 + 1, -4*n = -16. Let q be 304\/(-171) + l + 3. Which is the third biggest value? (a) q (b) -0.2 (c) -5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 2)*(-4*w - w + 4*w)*(-4 + 3 + 0)*(3*w - 5*w + 3*w) as v*w**2 + j + d*w and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 575794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 8 * 0.0420982\nAnswer: 0.3367856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2234215 (base 9) to base 4\nAnswer: -10211320223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 3. Let x be ((-6)\/2)\/(-3)*(-3 - y). Suppose x = -5*l + 4 + 21. Solve -4*m - 16 = 3*b, -b + l*m = 2 - 3 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 59?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24131.89 + -24132. Sort y, 1.1, 2\/9 in decreasing order.\nAnswer: 1.1, 2\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 + 13. Let r(p) = p**3 - p - 1. Let j(m) = 15*m**3 - 9*m - 12. Let n(a) = b*r(a) + j(a). Differentiate n(u) with respect to u.\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -2223211?\nAnswer: 2223213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-1) + -9 + 11)\/(16\/368). Is 5.8 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 3*b + 1. Let j be a(-2). Let k(s) = -4*s**2 + 3*s + 1. Let z(m) = 9*m**2 - 5*m - 2. Let i(t) = 7*k(t) + 3*z(t). Give i(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/5 (b) -2 (c) 23 (d) 0.0485\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5730377 or 5730383?\nAnswer: 5730383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s + 12. Let y be t(-2). Let b be ((y - 12) + 4)\/(-7). Is b greater than 50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 10*n**2 + 85*n - 66. Calculate x(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-154)*(56\/64)\/((-4)\/16).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 327, -8.\nAnswer: -8, -2, 327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1554 (base 11) in base 12?\nAnswer: -11a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4235 - -11140. What is the thousands digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39 + 129. What is the remainder when v is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/(-16) - -3)\/(80\/(-64))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -41609 or -41632?\nAnswer: -41609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1439568077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*n = -568, -19*l + 576 = -21*l + 4*n. Let j = l - -423. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*z - 17*z - 15*z - 10*z.\nAnswer: -60*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -837 - 25*y + 237 + 600.\nAnswer: -25*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.149776 to 3 decimal places.\nAnswer: 1.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/2040 and -91\/436560.\nAnswer: 436560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3570 = 3*m, 5*o + 10670 = 8*o - m. Suppose -2*a - 170 + 2545 = z, o = 3*a + 3*z. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41843918 to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 17. Solve h = -5*g + f + 20, -4*f = -2*g - f + 21 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 0*a + 12 = -3*x, 0 = -3*x - 3*a - 24 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that q**3\/6 + 28*q**2\/3 + 259*q\/6 + 34 = 0.\nAnswer: -51, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 145946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, r: 2, x: 1, y: 5, o: 1, g: 1}. What is prob of sequence orx?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - y + 2 - 5*y + (y - y + 2*y)*(9 - 1 - 3))*(-y - y + 0*y).\nAnswer: -16*y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (18\/24)\/(3\/8). Let f be 2\/2*7 - l. Suppose y - 3*z = 3*y - 13, 0 = -3*y + 3*z + 12. Solve f*m - 15 = y for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 87550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*v - 0. Solve 21 = -v*r + 2*g, -4*r - 4*g - 10 = 18 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/36 and -17\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 420109514.\nAnswer: 2, 11, 3049, 6263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -9. Let c be 14 + -1 - (3 - g). Suppose 3*i - c = -i. What is the smallest common multiple of 4 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1431109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ymyyyyyy. Give prob of picking 3 y.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 + 36. Suppose i*h + 3*h - 430 = 0. What is the lowest common multiple of h and 10?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 + -17. What is the remainder when y is divided by 2\/10 + 174\/30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 4*n - 20. Calculate v(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -58 - -62. Suppose -43 = 6*y - 13. Sort 2, -4, y, h.\nAnswer: y, -4, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, e: 3, u: 1, i: 2, t: 1}. What is prob of sequence teg?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and -383697195.\nAnswer: -383697194.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 371171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1174, 1169, 1160, 1147?\nAnswer: 1130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 684.1288 days to minutes.\nAnswer: 985145.472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4698, -9228, -13754, -18276, -22794, -27308?\n\"Answer: 2*n**2 - 4536*n - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17104211623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 99 + 101 - 301 + 6*s + 106 + s**2. Calculate y(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -12\/25 (b) -3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20 - (11\/(-4) - (-3)\/(-12)). Suppose 0 = 4*y - 17 - v. What is the remainder when 59 is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*s - 2*s + 8*s + 4*s - s - s + (3 - 3 + 2*s)*(0 + 0 - 2) + 2*s - 4*s + 3*s.\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -5*a + 28, -2*n + 0 = 3*a - 12. Solve 0 = 4*r + d - 9, r - 3*d - n = -0*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by 117.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 781 a factor of 4234905689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 298885 divided by 115.\nAnswer: 2599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 34 = 3*w, 21*i = 19*i + 3*w + 19 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6777 + 6777.00000036544. What is x rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 76145258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 256 (b) 2\/23 (c) 4 (d) -0.1 (e) 1 (f) -1 (g) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 > 2\/111753?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -l + 10*t + 840, -5*l = 5*t - 4080. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18 or -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 7?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*p - 11697 = -60*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + z**2 - 1)*(0 - 2 + 6 + (1 + 2 + 0)*(-1 + 3 + 1) + 0 + 0 + 2 + 1 - 6 + 1) to r*z + i + o*z**2 and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, i: 2, n: 2, k: 1, c: 1, g: 2}. What is prob of sequence gcs?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 92 - 91. Solve 0 = 4*z + c + 7 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 234.878 + -235. Let p = -0.404 - c. Round p to 2 decimal places.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/22 - (-2880)\/(-4554). Sort -1\/3, n, -3 in decreasing order.\nAnswer: n, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + s + 0 + 349*s**3 - 1 - 40*s + 0.\nAnswer: 349*s**3 - 39*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 43*m**2 + 2*m.\nAnswer: m*(43*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 6 = -g, -583*g + 4 = 4*i - 582*g. Let t(f) = 2*f - 6. Let p be t(4). Let q(b) = -475*b**i - b**3 + 475*b**2 + b + p. Calculate q(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h**3 + 18 - 4*h**3 - h + 8 + 4*h**2 + 3*h**3 + 5*h**4 + 1 in the form q*h**4 + d + m*h**3 + k*h**2 + f*h and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (382\/(-39))\/(7\/(-15)). Let h = x - 258\/13. Are 0 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 5*v - 96. What is the remainder when v is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348647 is divided by 1277?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - 1.1. Let x = -0.6 - y. Let r = -1.02 + 0.02. What is the third biggest value in x, r, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-14))\/(27\/(-6)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2470398092 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6729 in 3, -7, -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11858*v**2 - 11858*v**2 - 1037*v**3 + (0*v**3 - v**3 + 0*v**3)*(5 - 7 - 1) to the form o + g*v + q*v**2 + h*v**3 and give h.\nAnswer: -1034","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c. Let j(k) = 2*k - 5. Let t(h) = h - 3. Let m(g) = -3*j(g) + 5*t(g). What is m(b(v))?\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + 6. Let y(p) = -p**2 - p. Calculate y(j(s)).\nAnswer: -s**4 - 13*s**2 - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 7*j - 2*o = -34, -4*o + 14 = -j. Find the common denominator of 8785\/(-420) + 1\/j and -2 - (-2 - (-39)\/(-7)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 59076*f + 81010*f - 7750*f + 3.\nAnswer: 132336*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 252*j**4 - 3500012*j**3 - 14226384*j**2 - 666928*j + 889152 = 0.\nAnswer: -4, -2\/7, 2\/9, 13893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(8\/7)*y*y*y\/((y\/(y*y\/y**(1\/13)))\/y) assuming y is positive.\nAnswer: y**(643\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18\/7*t + 19\/7 - 1\/7*t**2 = 0.\nAnswer: -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2062?\nAnswer: 2, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*s = 21*s - 1850. What is the remainder when 399 is divided by s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*c**2 - 323790018*c - 80947504.\nAnswer: -2*(c + 40473752)*(4*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 24 = 4*t, -8*t = p - 2*t - 20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1463, -1254, -1045, -836?\n\"Answer: 209*h - 1672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -x**8\/480 - x**7\/1260 - x**6\/240 + x**5\/120 + x**4 + 26*x. Let q(c) be the third derivative of i(c). Is q(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*b**5 + 33*b**2 + 345*b + 102*b**5 - 346*b wrt b?\nAnswer: 5580*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 3*j + 1 = 5*v, -2*v + j = -1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and (2 + (-1)\/1)\/(15\/60).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -152?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -91 - -163. Is 12 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -2012.2.\nAnswer: -603.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-144 + 6*y + 144)*(-831*y + 286*y - 815*y) - y**2 + y**2 - 2*y**2 to the form c*y + d + j*y**2 and give j.\nAnswer: -8162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 4*k - 152, -4*u - 4*k + 304 = -0*u. Let x(i) = i**2 + 11*i + 46. What is the remainder when u is divided by x(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/18)\/1 + (-33)\/27. Let y be 1 - (b - 1) - (-592 - 6). Suppose 6*r - 2359 = -y. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -580*x. Let c be q(-1). Suppose 0 = 5*l - c - 135. Is l 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 {u: 3, p: 3, s: 1, t: 3, e: 2, c: 1}. What is prob of sequence ee?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 170929 * 132.\nAnswer: 22562628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 10219179 to the nearest ten thousand.\nAnswer: 10220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 110 and 245.\nAnswer: 5390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 766 times -603924?\nAnswer: -462605784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 5 + (-1 + 0 + 2)*(-3 + 1 + 3))*(-2*s - 4*s + 4*s)*(0*s - 3*s - 8*s) to j*s**2 + b + m*s and give j.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79802.\nAnswer: 2, 39901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b - 5*b + 5 + 2*b.\nAnswer: -4*b + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43181055?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 151310 divided by 30262.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 26. Let k(i) = -i + 17. Let h be k(m). What is the remainder when 46 is divided by 6\/3 + 50\/h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 1867*v - 14651. Is 23 a factor of m(23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4266, -1, 3, 0.5 in descending order.\nAnswer: 3, 0.5, -0.4266, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1638)\/(-9165) - (-3)\/(-15))\/((-271)\/(-542))?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 169\/157 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -q - 211, 2*r + 2*q = 240 - 20. What is the highest common divisor of r and 4708?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7957 - 3716.344.\nAnswer: -11673.344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -64.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i**(3\/17)*i))\/(i**(-38)\/i))\/(i**(2\/35)\/i)**(-14\/5))**(-2\/19) assuming i is positive.\nAnswer: i**(-30756\/8075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -100*s**2. Let b(r) = -r. Calculate b(z(w)).\nAnswer: 100*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56.1 + 56. What is the nearest to -0.1 in q, 1, -2.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -28, 1, -1, 41 in increasing order.\nAnswer: -28, -1, 1, 3, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 9*l**2 - 2*l - 15. Suppose 5*o - 11*o + 48 = 0. What are the prime factors of r(o)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 332026*t - 332027*t - n = 3*n - 10, 53 = 2*t - 3*n for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ftt when three letters picked without replacement from {d: 2, y: 6, n: 3, t: 4, f: 2}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 22*l**2 + 3*l + 45. Give w(-22).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**3 + 12*s**2 - 14*s - 21. Let c(o) = 3*o**3 + 25*o**2 - 29*o - 49. Determine -3*c(u) + 7*x(u).\nAnswer: 5*u**3 + 9*u**2 - 11*u","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -161 (b) 1 (c) -21 (d) 1\/4 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1764)*2)\/(sqrt(12) - 5*sqrt(48)\/sqrt(4)) + 1.\nAnswer: -7*sqrt(3)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -174385, -348775, -523171, -697573, -871981?\n\"Answer: -3*o**2 - 174381*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32126301 divided by -243.\nAnswer: -132207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.8 times 0.5?\nAnswer: -18.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 56 = 5*u - 5*u for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39706.99982027 + -39707. What is p rounded to 6 dps?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -89 + 89. Suppose -r - 3 = -3*g, x*r = g + r - 5. Suppose -g*t + 117 = -617. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 1\/10*k**4 - 7\/5*k**2 - 93 - 8\/15*k**3 + 4*k. Factor h(m).\nAnswer: 2*(m - 5)*(m - 1)*(m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -192, -21, 27, -17 in decreasing order.\nAnswer: 27, -17, -21, -192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -7*c**3 + 10*c**2 + 2*c + 27. Let n(a) = -6*a**3 + 13*a**2 + a + 26. Let y(w) = 4*l(w) - 5*n(w). Is y(13) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -5*o - 3. Let j(s) = 2*s + 1. Determine -a(g) - 5*j(g).\nAnswer: -5*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7, -41, -91, -151, -215, -277, -331, -371?\n\"Answer: x**3 - 14*x**2 + x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q + 0*q + 3*q + ((2 + q - 2)*(5 - 2 - 2) + q - q + 4*q)*(1 + 3 + 2) to g*q + p and give g.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -243*z - 135. Let p(i) = 365*i + 202. Let o(g) = -5*p(g) - 7*w(g). Let n be o(-8). Round n to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -10) + (6 - 8 - 10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 334 - 320.1. Let a = -2806.386233 + 2792.4865. Let i = g + a. Round i to 5 decimal places.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2. Let k(a) = 185*a**2 + 12*a - 6. Let l(v) = -369*v**2 - 30*v + 14. Let f(o) = -5*k(o) - 2*l(o). What is w(f(n))?\nAnswer: 34969*n**4 - 748*n**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -85915*l**2 - 47737*l - 1.\nAnswer: -171830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3688685 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from jdljjbbddbllbj.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -22 - d + 3*d**2 - 5*d + 35 - 2*d + 32*d**3. Let s be j(-9). Round s to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36736218 divided by -306.\nAnswer: 120053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2535 divided by 845.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of t**2 + 56. Let b(f) = 55*f + 1. Calculate d(b(l)).\nAnswer: 110*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**2 - 6*r + 1. Let n be g(4). Let k = n - 23. Factor -2\/9*c**k - 4\/9 + 2\/3*c.\nAnswer: -2*(c - 2)*(c - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 4*s = 1034 - 947, 134 = -5*l - 3*s for l.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h - 5*h - 2*h**4 + 3 + 2*h - 5 + h**3 in the form p*h + j*h**4 + r*h**3 + f*h**2 + t and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + r + 16 = 0. Suppose -46 = -3*p + r*h, -5*h - 48 = -4*p + 13. Suppose -p = -2*c + 6. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + (0 + -5 - -3). Suppose -f*w + 17499 = 5*n, w - 948 = -n + 2553. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 1628.0526.\nAnswer: 488.41578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times 0.31?\nAnswer: 2.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -3114?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2433 (base 5) in base 11?\nAnswer: -305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*a**3*i**2 + 459716*a**3 - 14*a**2*i**2 + 69875*i**2 + 2*i wrt a?\nAnswer: -102*i**2 + 2758296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -57*(-3)\/24 + 1\/(-8)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**2\/2 + 39*x + 261\/2 = 0 for x.\nAnswer: -3, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -405*b - 329*b**2 - 411*b + 816*b.\nAnswer: -329*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54498 and 36039.\nAnswer: 879","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -74.63 + 75. Let y = w - 0.07. Which is the third smallest value? (a) y (b) -0.3 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008343 to four dps.\nAnswer: 0.0083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w + 48. Let f be l(-7). Let y be f\/(-6)*40\/(-12). Suppose -11*b = 136 - y. Is -6 <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1361482 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -887 = -3*h - 863. Let t be h\/40*-4 - (-2)\/15. What is the fourth smallest value in t, -3\/4, 0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 10 = 3*j - 6, 0 = -3*j + u + 4. Suppose 2*t + 2821 = -v, 2*v - 473 = 4*t + 5189. Let f = -18381\/13 - t. Which is smaller: f or j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**3 + 34*o**2 - 13*o + 198. List the prime factors of l(-17).\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37487 by 3.\nAnswer: -37487\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18 - 104873a7?\nAnswer: -1048738a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19.07 + 20.07. Let m = 0.14 - 0.1. What is the third biggest value in a, -3\/4, m?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 8 = -8*d. Solve 3*a + 9 = -4*r, -d*a - 3*r = -4 + 10 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -13286349*h**3 + 29579*h**2 + 59158*h - 59158. Let o(z) = -2695*z**3 + 6*z**2 + 12*z - 12. Give -29579*o(p) + 6*x(p).\nAnswer: -2689*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8563\/15 + 571. Which is the third biggest value? (a) z (b) 0.3 (c) 36\/7 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*c + 47 + 19 = 0, -3*c - 153 = -4*a. What is the remainder when 54 is divided by a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 127, 546, 1243, 2218?\nAnswer: 3471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1502 or -1452?\nAnswer: -1452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25255 rounded to three decimal places?\nAnswer: -0.253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26? (a) 4 (b) 4190\/9 (c) -29 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 133851 + -133848. Let p = -94.931 + 95. Which is the biggest value? (a) p (b) k (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 4*b - 4. Let i be 146\/(-30) - 10\/1500*20. Calculate v(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - 7*o - 6. Let y(c) = -2*c**2 - 13*c - 11. Let a(l) = -11*v(l) + 6*y(l). Determine a(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - o + 32 = 0. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 246 or 247?\nAnswer: 247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-1))**(-24)\/((n*n**(1\/5)*n)\/(n**(1\/21)*n)))**3 assuming n is positive.\nAnswer: n**(-5161\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 (base 16) in base 2?\nAnswer: -1000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 5*y**2 + 8*y - 8. Let q be x(6). Suppose -3*u + 243 = s, u = -4*s + 133 + 795. Suppose -q*z + s = -z. Is 11 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a litre in millilitres?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33307\/7 or -4757?\nAnswer: -33307\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ktwtkkt. Give prob of picking 2 k and 1 w.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*j. Let f be (0 + 0)\/(2 + j). Solve f*t - 2*t = 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 431519*j**3*p**4 - 6758*j**3 - 4*j**2*s**2 + 29*j**2 - j - 271*p**2*s**2 + 4*s**2 wrt p.\nAnswer: 1726076*j**3*p**3 - 542*p*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of m**7\/2520 - m**6\/720 + m**4\/4 - 3*m. Let p(w) be the third derivative of q(w). Find the second derivative of p(z) wrt z.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8.3 and 106.\nAnswer: 879.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21912717947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 111780913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 530 = -27*k + 392 - 429 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 6 + 14 + 8.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 3*y**2 + 5*y - 8. What is x(-4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ul when two letters picked without replacement from snlul?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.05 and 0.162492.\nAnswer: 0.1706166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from vhhbhrvrpehp?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14586445 - 3486448. Let t be 3 + -6 - f - 0. Round t to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -5 + 2 - -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2750 and 17798.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of 3*g**5\/20 + g**4\/2 + g**3\/6 + 22*g - 24. Let m(d) = 2*d**3 + 5*d**2 + d. What is -6*m(v) + 5*x(v)?\nAnswer: 3*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 681208 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 206 = -584. Let r = 2116 - 1864. What is the highest common divisor of r and n?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 10*w + 13. Let s be m(-9). Suppose -s*f + 4 = -0. Put 2, -0.2, f in ascending order.\nAnswer: -0.2, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1627812 litres to millilitres.\nAnswer: 162.7812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rcrf when four letters picked without replacement from zzfzcccczczcczrpzfcz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 - 90*p - 315.\nAnswer: 5*(p - 21)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 323052\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) -16 (c) -1012\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3555088113?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**2\/13 - 185040*h\/13 + 4279975200\/13 = 0. Calculate h.\nAnswer: 46260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 5*z + 5. What is the remainder when (2\/(-6))\/(22\/(-3894)) is divided by l(5)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2995 (base 11) to base 4\nAnswer: -330033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 7:30 AM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3647\/5 + -22367\/30. Suppose 147 = -3*u - 3*d - 18, 0 = -3*u + 2*d - 145. Find the common denominator of (-6)\/u - (-4405)\/850 and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -32181, -69355, -106529, -143703, -180877?\n\"Answer: -37174*j + 4993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 1093324160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 3*f, -16*f + 20 = -5*z - 17*f for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from zhzhzzzzzdhhdhhhzzh.\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1297903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*n - 3*n. Calculate the common denominator of (-6)\/8 - (n + -16) and -59\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1584, 1588, 1594, 1602, 1612?\nAnswer: 1624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 539700.\nAnswer: 2, 3, 5, 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -11. Let d = f + 4. Let c(x) = -x**3 + x - 2. Let r be c(1). Put 8, r, d in descending order.\nAnswer: 8, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*z + 149 + 389 = 126 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13184109*g**3*n + 6*g*n**3 - 228134*n**3 - 2*n - 5 wrt g?\nAnswer: 39552327*g**2*n + 6*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**2\/6 + 2512*r - 15074\/3 = 0.\nAnswer: -15074, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/1576 and 17\/449680.\nAnswer: 88586960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 397010 (base 11) to base 10.\nAnswer: 624250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 2*t, -t - 62 = 2*p. Let i = 33 + p. Suppose -i*m + 90358 - 626358 = 0. What is m rounded to the nearest 10000?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1180 less than or equal to -0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250641 is divided by 19279?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 7*z. Let r(s) = 2*s**2 - 11280099. Give v(r(a)).\nAnswer: 14*a**2 - 78960693","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b - 40?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24150802, -24150812, -24150822?\nAnswer: -24150832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 52 + 2*v + 133 - 33.\nAnswer: 2*v + 160","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -4*y**2 - 25*y - 52. Let f be n(-4). Let h(z) = -z**3 - 18*z**2 - 31*z + 13. What is h(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u be (-30)\/(-56) - (-1)\/(-4). Let m = -1.06 + 0.06. Let v = -1733\/26 - -133\/2. Put v, u, m in increasing order.\nAnswer: m, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 150, 134, 94, 18, -106, -290, -546?\n\"Answer: -2*k**3 - 2*k + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 394732381 is divided by 289.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x - 8*x - 52 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -440*g = 47*g - 15097 for g.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 43903.59 kilograms?\nAnswer: 43.90359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 772, 0.7077 in descending order.\nAnswer: 772, 0.7077, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 2:31 PM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42346 is divided by 777.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 0, 27, -2 in ascending order.\nAnswer: -2, 0, 1, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -31 + l + 27 + 10*l. What is the units digit of u(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g**3 - 6*g**2 - 3*g**2 + 18 - 2*g**3 - 3*g**2 - 15*g. Let l be p(13). Let m(h) = -h - 8. Let v be m(l). Is v greater than 1\/42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 42198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 5:02 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 9 = 0, -5*o - 6*i + 3755 = -i. Let u = -3 + o. Let a = u + -1473\/2. Find the common denominator of -47\/5 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -601654 (base 7) in base 4?\nAnswer: -120302032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3278469 and 226.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - z - 784 = 0. Suppose -201*h + 1800 = -z*h. Suppose 3*w = 2*y - 5*y + h, -3*y - w + 350 = 0. List the prime factors of y.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6 - (288 + -14)*(-4)\/183. Which is bigger: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1732 is divided by 9 + (1288 + 0)\/14?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -7*s**3 + 3*s**2 - 9*s + 39. What is the hundreds digit of u(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(17) - (sqrt(153) + 4)) - (-4 + (sqrt(544) + sqrt(34))\/sqrt(2)))**2.\nAnswer: 14*sqrt(17) + 834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 107 + 16. Calculate the remainder when -1 - 1 - (26 - g) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 3 + (-236460)\/(-32) + 78\/(-208)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11560 + -11560. Let r(v) be the third derivative of -5\/12*v**4 - 4\/3*v**3 + 0 + v**2 + p*v + 1\/60*v**5. What is r(10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 3*a = 3*j - 66, j = -5*a + 22. Calculate the lowest common multiple of j and (0 + 1)*(-4)\/(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -24.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, o: 1, m: 3, k: 6}. What is prob of sequence emom?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*s**2 - 30*s**2 + 94*s**2 - 37*s**2.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43865860*w**2 + 190919*w - 38 wrt w.\nAnswer: -87731720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -97*k**2*o*t**3 - k**2*o + 579*k**2*t**3 - 2*k**2*t with respect to o.\nAnswer: -97*k**2*t**3 - k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32 - 1) + (115 - (-351790)\/(-2413)).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + 90 - 16) + -28 + (3 - (12 + 2))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 590 = 2*d - 61*d. Sort -0.4, d, -3, 3 in descending order.\nAnswer: 3, -0.4, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2151 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-13 + 736\/32)*6\/4*-1\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 - 57 = -4*p. Suppose -12*i + 2650 + 6362 = p. What are the prime factors of i?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 41*n + 11. Let q(a) = 15*a + 4. Let k(u) = -11*q(u) + 4*x(u). Let f(r) = -6*r + 3. Let o(c) = -c - 1. Let y(l) = -f(l) - 3*o(l). Give k(y(i)).\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 16692169\nAnswer: 5007650.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-14)*(-8)\/(-6)*(-1 - 0)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -309 in -2\/3, 5, -30\/7, -0.5?\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -765647 (base 11) to base 9.\nAnswer: -2263123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 5 + (9 - 7 - 5) - 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 17*n**2 + 21*n + 138. Calculate f(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 303*r - 297*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.1, 0.5, 30, 1\/3, -0.3?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 - (6 + -3 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*r - 6*r + 78*r.\nAnswer: 63*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1019300 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-6))\/(11\/(-66)) + (-45)\/(-20)*4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 452, 1\/2, -1\/32?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 2:41 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y**2 + 12*y - 6. Let o be d(-4). What is the hundreds digit of (1 + 0)\/(9870\/1644 + o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 54, 246, 566, 1014?\n\"Answer: 64*t**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -16*p. Suppose p = 32*o + 7*o - 49101. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) + 2*((sqrt(208)*1 - sqrt(208)) + sqrt(208)) + sqrt(208)*2 + -5)**2.\nAnswer: -200*sqrt(13) + 5225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 q when three letters picked without replacement from {s: 1, u: 1, q: 1, g: 2, p: 1, e: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/7 + 10072*v**2\/7 + 1089770*v\/7 + 29802300\/7.\nAnswer: 2*(v + 55)**2*(v + 4926)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-1)*8 + -7. Which is smaller: 4\/29 or a?\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = j - 4*k, -5*k + 49 + 21 = 3*j. Suppose 3*l - 12 = 0, 4*l + j = 3*o + 6*l. Solve 5*m + 35 = -5*r, o*r - r + 18 = -2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 104666610 + -104666633.9999964. Let z = 52 + -28. Let t = c + z. Round t to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -3*z + 9, -5*i + 7 - 19 = -4*z. Let s = 340 - 334. Suppose -209*p = -206*p - s. Put p, i, -1 in descending order.\nAnswer: p, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h**3 + 2*h - 4*h**3 - 2*h**3)*(1 + 1 - 3).\nAnswer: h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*o**2 - 12 - 9 + 20 wrt o.\nAnswer: 10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = c. Suppose c*h - 2*h - 2*f + 18 = 0, -40 = -4*h - 5*f. Suppose h*a + 10 = 0, -2*v + 44 = -2*a - a. What is the remainder when v is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + 2*u = 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 14*h + 86*h + 4 + 57*h + 46*h.\nAnswer: 175*h - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t - t - 2*t. List the prime factors of k(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h - 3*h + h + (3 - 3 - 2*h)*(0 + 4 - 5) + 8 - 8 + 13*h to u + i*h and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 s, and 1 h when four letters picked without replacement from masyssesyhhmyae?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2 - 3*o - 2 + 2 - 5 - o**2. Give v(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/((sqrt(22)\/sqrt(2) + sqrt(11))*3)*-1 - (-2 + (2*sqrt(48) + 1)**2).\nAnswer: -191 - 97*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2)*h)\/h**10 assuming h is positive.\nAnswer: h**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40595 - 40589 - ((2 - 99) + (-2 - (2 - 3))).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2537262 by 546.\nAnswer: 4647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**4\/4 - 105*w**3 - 1491*w**2\/4 + 37137*w\/2 + 73710 = 0. What is w?\nAnswer: -135, -14, -4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*d - 19*d + 2*o - 26436, d - 6621 = -2*o. What is the thousands digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**2 - 49106*x + 3200340 = 0.\nAnswer: -24618, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(343)*-2 - ((sqrt(567) - -1*sqrt(567))**2 + 1).\nAnswer: -2269 - 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 79939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -21*s**3 - 6*s**2 - 2088*s. Let t(h) = -39*h**3 - 11*h**2 - 4174*h. Determine -6*t(l) + 11*x(l).\nAnswer: 3*l**3 + 2076*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -11, 2\/3, 1\/46?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from odoowrglgorgro?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by -1538985\nAnswer: 13\/1538985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f + 5*b = 4*f + 18, 0 = -5*f + 5*b. Solve -s = -3*s + f for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*w = 43*w - 5. Which is the second biggest value? (a) w (b) -2 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -812*b - 30584 = 4332 for b.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 12) in base 2?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 - -45. Let g = t + -24. Let a(b) = -2*b + 0*b + b - b**2. Determine a(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8241899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g**5 - 72*g**3 - 128*g**2 - 60*g = 0. What is g?\nAnswer: -3, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 28*c. Let t be (-1)\/(-15) + 29\/15. Let i(r) = 17*r**2 + 16*r**2 + 11*r**2 - 43*r**2 + 11*r**t. Determine i(b(w)).\nAnswer: 9408*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1519\/155*(-15)\/(-42)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5351671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 1091945*l + 2 - 2 - 1099822*l in the form i*l + o and give i.\nAnswer: -7877","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2441 + 1345. Suppose -g + q = 5*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6601240 by 1650310.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5 = -h + 10, -3*f + 12 = 0. Let g = 0 + 12. What is the remainder when g is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qyyvkvgko. Give prob of picking 1 o and 1 q.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -5*c**2 + 7*c - 3. Let i(u) = 4*u**2 - 6*u + 2. Suppose -16*h + 169 - 89 = 0. Calculate h*k(n) + 6*i(n).\nAnswer: -n**2 - n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times -4\nAnswer: -0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of 8*w**2 + 7*w + 91. Let v(f) = 11*f + 5. Let r be ((1 - 2) + 0)\/(13\/(-91)). Give r*v(g) - 5*q(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 4) + (19 + -57 - -39) + -102 + 1.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 384 divide 263181312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3376 + 3388. Solve 4*g - 8*g - f = 22, -4*g - x = -4*f for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42284926.\nAnswer: 2, 21142463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3192078833.\nAnswer: 127, 1291, 19469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 16*v = -11*v + 17677, v = d - 5895. What is the thousands digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 803838 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -6*s**3 + 1558*s**2 - 2765*s - 5. Let n(o) = -5*o**3 + 1555*o**2 - 2765*o - 4. Let i(v) = -4*b(v) + 5*n(v). Find the second derivative of i(h) wrt h.\nAnswer: -6*h + 3086","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/(-16))\/((-6)\/(-16)). Let z = f - 3. List the prime factors of (z\/(-4))\/(2\/88).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.6 (b) 1\/3 (c) -129\/7 (d) 894\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**4\/5 + 36056*l**3\/5 + 167264072*l**2\/5 + 8580751104*l + 566363842560 = 0.\nAnswer: -8880, -134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2945 + 3?\nAnswer: 2948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.017 - 0.617. What is the biggest value in b, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71.9 - -26391920.\nAnswer: 26391991.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*z**2 - 3*z**4 + 19*z**2 - 67*z**2 + 3 + 2*z**3 + 23*z**2 + z + 0*z to l*z**4 + d*z**2 + q + x*z + j*z**3 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, f: 2}. What is prob of sequence vvf?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.11 (b) 0.3 (c) 0.4 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -15\/7, -13, -2\/15, -50 in decreasing order.\nAnswer: -2\/15, -15\/7, -13, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4*b + 12. Let d be k(-1). Does 19 divide d\/(-10) + 2\/(30\/1377)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 30*i + 128. Let k be b(-4). Let n(v) = 24*v**3 - 8*v - 8. Let q(j) = -j**3 + j + 1. Give k*q(r) + n(r).\nAnswer: 16*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -220.47 and -0.2?\nAnswer: 44.094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 213 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 940, 684, 428, 172, -84, -340?\n\"Answer: -256*v + 1196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 66532511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1200000121001 - 2?\nAnswer: -1200000121010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m + 17. Let j be h(17). Suppose -a - 2*c = -46, -3*a + j*c = 2*c - 130. What is the least common multiple of a and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1279.\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -627*s**3 - 8*s**2 - 14839.\nAnswer: -1881*s**2 - 16*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -0.1 (c) -24 (d) 729 (e) -5 (f) 2 (g) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 556 is divided by 92.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29.3 - 29.30064. What is q rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*j = 4*j + 87. Solve -4*h - 7*x - 20 = -j*x, -4*h - 3*x = 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 4*i + 7. Let w be v(5). Let m = -14 + w. Let g(h) = -h**3 + h + 2. What are the prime factors of g(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10 + 2 + (3 - 3). Suppose 4*z - k - 31 = u, -3*u + 3 = -z. Let x be ((-3)\/(-6))\/1*z. Solve x*r = r - 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05210184248 to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f**2 + 2*f + 1. Let h be p(-1). What is the closest to h in -0.5, 4, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 2*p**2 - 2*p + 9. Let c be r(3). Let f = c + 29. Calculate the remainder when f is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5439)\/(-148) - 36)*(-8)\/3*-23?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 0*k + 115\/2*k**2 + 38. Let o(d) = 2*d. Determine o(u(c)).\nAnswer: 230*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5*i = k - 17, 4*k - 18 = 2*i. Suppose -5*s + 25 = 0, k = -4*d + s + 3. Is -4\/63 at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 0*c + 0 - 8\/7*c**2 + 8\/7*c**3 - 2\/7*c**4 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -216352 less than 6?\nAnswer: 216358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -87 - -84. Let d(o) = -o. Let i(n) = 3*n**2 + 5*n. Give l*i(b) - 15*d(b).\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -5713761, 1\/6, 1\/14 in ascending order.\nAnswer: -5713761, -2\/7, 1\/14, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6810 is divided by 6793.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211 (base 9) to base 11.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hctootcthnhhhott. What is prob of picking 2 c, 1 o, and 1 h?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -3*y - 1. Suppose n - 12 + 0 = 0. What is the remainder when n is divided by 1\/2 - y\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 728 and 35?\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 25275, 46095, 66915, 87735?\n\"Answer: 20820*t + 4455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 5*s. Let g(y) = -11*y**2. What is g(z(o))?\nAnswer: -275*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -587, -619, -653, -689, -727, -767, -809?\n\"Answer: -d**2 - 29*d - 557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2137413944 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u - 3*o - 75, -156*o + 293*o = u + 142*o + 5 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2466907?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 147450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.1 (b) -3 (c) -0.5 (d) 5\/18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 297 = 122*x - 89*x. Let g(f) = -9*f + 50*f**2 + 11 - 101*f**2 + 52*f**2. Give g(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - d - 1 = 5, 0 = 4*x - 2*d. Which is the biggest value? (a) x (b) 3 (c) -0.062\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 33*y + 6*y - 7*y - 10*y - 16*y**2 - 7*y to h*y**2 + x*y + b and give h.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -388*k + 360 wrt k?\nAnswer: -388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -13*m**2 + 140*m - 122. Let q(x) = -7*x**2 + 78*x - 64. Let g(b) = 11*q(b) - 6*u(b). Calculate g(-8).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/(-2)*(-10)\/15 + 127. What is the highest common factor of 31 and i?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98620 is divided by 19721.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243*r - 110 = -221*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 850062120?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 - -54. Suppose -v = -5*c - 476. Let g = c + 800\/9. Is g >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 + 0.2100698.\nAnswer: -11.7899302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 77 + 185. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*g**3 - 3*g**2 + 5*g**2 + g + 24*g**3 - g**2 + 12*g**4 + 0*g to f*g + v*g**4 + r + c*g**2 + o*g**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -17164900 greater than -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -27. What is the derivative of 8 - 8 - 7 - j*v**2 wrt v?\nAnswer: -42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v - 2. Let t be a(-4). Let c = t + -2. Let s = 29 + c. Does 12 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 2 - 3624*b + 3653*b to the form a*b + y and give a.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3527575 is divided by 148.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.22 and 18563.\nAnswer: -4083.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 630 - 75. Suppose 0 = 22*a - 17*a - i. Is a a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9870.43 nanoseconds in milliseconds?\nAnswer: 0.00987043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1317*u - 2790 wrt u?\nAnswer: -1317","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 68188 + 21879 = 4*k, 2*k + 3*l - 45031 = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5117 + 11 - 1\/(4\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.01 + -0.41. Let p = 7.6 - 7. Let t = p - 0.3. What is the third biggest value in 4, r, t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111010111010111 - 11?\nAnswer: -111010111011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3001, 114, -0.1, -2\/7, -1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 568475406?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 202211 (base 5) in base 2?\nAnswer: 1100110011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/49)\/((-10)\/140) - 3. Which is the second biggest value? (a) l (b) -2\/3 (c) -1\/10 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(((((b\/(b\/(b*b**(-2\/5)\/b*b)))\/b*b)\/b)\/b)\/b))\/b**(-13))\/((b\/(b\/(b\/(b*b**(8\/7)*b))))\/(b\/(b**16*b))) assuming b is positive.\nAnswer: b**(89\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**2\/11 - 12*b + 198 = 0.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 403226297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 2577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u**5 - 44436*u**4 - 3922760*u**3 + 3967200*u**2 = 0.\nAnswer: -11020, -90, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -781 (base 15) to base 12\nAnswer: -b94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*k**2 + 2*k - 12*k**2 - 2*k.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3353831.\nAnswer: 13, 257987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -1, 5, 1206 in decreasing order.\nAnswer: 1206, 5, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 581227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -401 = 13*h - 1805. Is h less than or equal to -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + 6*j + 181. Let t be s(-11). Sort -44, t, -3 in increasing order.\nAnswer: -44, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 23913 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1137344539?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31 - 6) + 8 + 77?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 16, 66, 142, 238, 348, 466, 586, 702?\n\"Answer: -l**3 + 19*l**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -0.04517.\nAnswer: -3.04517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2*w = -10, -w - 8 = -3*x - 0*x. Let g be (0\/3 + x)*1. Let l be (0 - g\/3)*-12. Calculate the greatest common factor of 64 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*x - 344 = -14*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3379 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3554 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 m when two letters picked without replacement from {i: 2, m: 1, v: 1, z: 1, x: 1, h: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * -533.3.\nAnswer: 3733.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvm when three letters picked without replacement from {v: 2, m: 4, d: 6}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-2\/3))**(-3\/11))**(-19) assuming h is positive.\nAnswer: h**(19\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -96*c - 80. Let t(x) = 190*x + 158. Let k(b) = -6*t(b) - 13*u(b). What is the hundreds digit of k(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33113444 (base 7) in base 14?\nAnswer: -54065b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8218*x + 341 + 8221*x - 170 - 171.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(8\/(-4)) + 1. Suppose 0 = -y*v + 7*v - 30. Is 4 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m + 15. Determine b(10).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*i + 45499 = 182*i - 6701. Solve 16*j - i = 76*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 12:06 AM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.082069 - 20\nAnswer: -20.082069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**4\/4 - 63*w**3\/4 - 105*w**2\/2 - 36*w.\nAnswer: 3*w*(w - 24)*(w + 1)*(w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13451\/2, 0.5, 18, -1\/2.\nAnswer: -13451\/2, -1\/2, 0.5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -157*c**3 + c**3 - 1273*c + 1274*c - 7 wrt c?\nAnswer: -468*c**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 62 = -2*z. Suppose 29*b = z*b - 11. What is the remainder when 163 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-162)\/48)\/((-9)\/(-12)))\/(9*2\/192)\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 60cc3?\nAnswer: 60cbe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3452047403.\nAnswer: 7, 70449947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 838*o + 512. Let q(p) = -335*p - 204. Let c(b) = -12*q(b) - 5*t(b). Differentiate c(z) with respect to z.\nAnswer: -170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2898, -24187, -82098, -194943, -381034, -658683, -1046202, -1561903?\nAnswer: -2224098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16248526 to the power of 1\/2, to the nearest integer?\nAnswer: 4031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 136057673 to the power of 1\/4, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1)**(-2))**(-6\/13)*(d**6*d*d\/d**(2\/5))\/((d**(-2\/9)\/d)\/d**(-1\/4)) assuming d is positive.\nAnswer: d**(22219\/2340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -7.39107 and 12476003.\nAnswer: 12475995.60893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 124 = 6*r. Let v = 581 - 581. Which is the nearest to r? (a) -0.2 (b) 2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -0.025, -1\/4, -3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36474751*c**3*w + 3*c**2 + 2*c*w - 2*c + 7385*w - 1 wrt c?\nAnswer: -218848506*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a day in minutes?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -8*x - 21. Calculate the least common multiple of z(-6) and 9.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*q = 3*g - 4171, 0 = 2*g - q - 2774. Let h = g - 879. List the prime factors of h.\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 339, 342, 347, 354, 363?\n\"Answer: c**2 + 338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - 14. Let a be (-4)\/14 - 122\/14. Let x = a - r. What is the smallest common multiple of x and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1622?\nAnswer: 2, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - 3980498729.4568.\nAnswer: -3980498729.4568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 97520\/15 + 0 + (-6)\/(-9)*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85571333 at most -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of 0*p**3 - 1\/1176*p**8 + 2*p**2 + 0*p + 0*p**7 - 1\/84*p**4 + 1\/210*p**6 + 0*p**5 + 0. Factor s(w).\nAnswer: -2*w*(w - 1)**2*(w + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101790.55 times -0.5?\nAnswer: -50895.275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 6. Suppose 5*v - 4*p = 14, 5*p + 7 = -t*v + v. What is the smallest common multiple of v and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3c (base 15) to base 3\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z - 8. Let y(n) = -8 - 12 + 19. Let v(a) = -5*a**2 + 1. Let c be v(1). Let x = c - -3. What is x*f(i) + 6*y(i)?\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 39134169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 + 3*i - 11 to the form a + z*i and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17386642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-450)\/440)\/3*((-6)\/24)\/((-35)\/(-14))?\nAnswer: 3\/88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2467011205?\nAnswer: 5, 19, 41, 633379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 3 (c) 9\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 413357.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 6*w + 16. Calculate r(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-4) - -1)*-2*-20. Let c be (1 - (-95)\/l)*(4 + -2). Suppose c*y + 812 = 25*y. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - y**2 - 1. Let m(p) = 7*p**3 + 10*p**2 + 10*p - 7. Let s(o) = -4*o**3 - 6*o**2 - 6*o + 3. Let n(u) = 3*m(u) + 5*s(u). Give n(t) - x(t).\nAnswer: 2*t**3 + t**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2638210 is divided by 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t**3\/3 - 70*t**2\/3 - 2171*t + 13794 = 0. What is t?\nAnswer: -57, 6, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rt when two letters picked without replacement from {n: 3, r: 1, x: 2, t: 6}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/1626135 and -81\/127540.\nAnswer: 6504540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10243 + -276559\/27. Which is the nearest to 2? (a) z (b) -2 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 11*l**2 + 19*l - 20. Determine y(12).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 1. Suppose -28 = -5*s + 5*f + 12, 2*f + 6 = 0. Let -q**4 - 8*q**4 - 7*q**3 + s*q**c + 4*q + q**4 = 0. Calculate q.\nAnswer: -2, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 61*d - 31*d - 180. Let j(s) = 13*s**2 + 7 + 2*s - d*s - 4*s - 3*s + 2*s**2. Let y(i) = 8*i**2 - 6*i + 4. Determine 4*j(x) - 7*y(x).\nAnswer: 4*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10564.23 + 10698. Let k = u - 139.4. Round k to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*x = -3*x + 13, 2*p - 11 = 3*x. Let o = 1 + 3. Suppose -36 = z - 5*z - o*b, -4*z + 51 = -b. What is the highest common factor of p and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11\/585 or -1?\nAnswer: 11\/585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*(c**0\/c)\/c))**(-1\/33))**(-4\/15) assuming c is positive.\nAnswer: c**(8\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -17*r**2. Let b(n) = -556*n**2 + 48*n**2 - 18*n**2 - 2*n**2. What is 6*b(w) - 187*g(w)?\nAnswer: 11*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*v = -80*v - 28. Suppose 221*c + v = 228*c. Let q(l) = -l + 2. What is the lowest common multiple of q(-8) and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*p = 0. Suppose -5*u + 10 = -p*u. Solve -9*n**4 + 48*n + n**4 - 52*n**u + 4*n**4 - 16 + 24*n**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -14. Let g(d) = l*d - 3*d**2 - 5*d. Let m(v) = -17*v**2. Determine g(m(b)).\nAnswer: -867*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -11\/6, 23, 2\/5, 0.08?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-5 - (2 + (4 - (1 - -5)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -3. Let d be 11\/((-99)\/(-2)) + (-4)\/(-63). Put d, z, 5 in descending order.\nAnswer: 5, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -40458\/72239 or -1?\nAnswer: -40458\/72239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -h**5\/60 - 23*h**4\/24 + 6*h**3 + 18*h**2. Is 15 a factor of d(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-3) + 16\/36?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 21 (b) 4 (c) 5 (d) 1774\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2369605789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrc when four letters picked without replacement from ppprccrrprp?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g - 7*g = 48. Let y be (1000\/g)\/(12\/(-136800)). Round y to the nearest one hundred thousand.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2400 and 28.\nAnswer: 16800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (864\/40560)\/(624\/(-2704))?\nAnswer: -6\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 5042.\nAnswer: 2521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 29*t + 61. Let u(l) = 15*l + 30. Let c(g) = -4*f(g) + 7*u(g). Suppose -n + 52 = -9. What is the remainder when n is divided by c(-6)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51125 (base 6) to base 12.\nAnswer: 3aa5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 3*n**2 + n + 8. Let r be m(-2). Suppose -r*a + 21 = 5*i + a, -2*a + 13 = 3*i. Solve -2*g - 3*c - 16 = 0, -10 = -i*g + 3*c + c for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 50*a**3 + a**2 + 19*a - 53. Let j be w(3). What is the greatest common divisor of 94 and j?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-83542)\/26 - (-12)\/78. What are the prime factors of (-9 - -5 - j\/6)*2?\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2491 and 3055?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + (9 - 30 - -26) - -2.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6261380 and 42780.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b**2 - 67*b - 269. Let o be a(-17). Factor 3\/4*u**2 - 3\/2 - 9\/4*u + 9\/4*u**o + 3\/4*u**4.\nAnswer: 3*(u - 1)*(u + 1)**2*(u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 3*y**2 - 4*y + 5. Let s(v) = -3*v**3 + 10*v**2 + 12*v - 14. Let r(k) = 7*m(k) + 2*s(k). What is the remainder when r(6) is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 12:03 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2 = -18, 3*u - 90 = 3*x. Let c = x + 38. Suppose -c*h + 0*p = 5*p - 4328, -3*p - 4296 = -4*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(1377) - (0 + sqrt(1377))) + sqrt(1377))*-3)**2.\nAnswer: 54*sqrt(17) + 12394","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of 7*w**3\/3 + 5*w**2\/2 - 4. Find the second derivative of y(n) wrt n.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**3)\/i)**(-2\/13)\/((i*i**(-2\/13)*i)\/i)**(-25\/4) assuming i is positive.\nAnswer: i**(251\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 5*c - 4*m = -87, 13 = c + 3*m. Suppose -5*p + 766 = -2*q, 3*q = -5*p + q + 754. Calculate the highest common divisor of c and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**4 + 3*f**4 + 0*f**4)*(2*f - 5*f + f) + 36820*f**5 - 294604*f**4 + 294604*f**4 + (-2*f**3 + f**4 + 2*f**3)*(3*f - f - f).\nAnswer: 36823*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.5 (b) -5\/4 (c) -83 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 10, i: 1, o: 6}. Give prob of picking 1 o and 1 u.\nAnswer: 15\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.12 >= -217?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -0*w + 166. Suppose -135 = -d + z, d - 65 - 54 = -3*z. Let r = d + w. Does 12 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5*4\/(-50) + 12\/5. Solve -4*x + 12 = l*n, 2*x + 6 = 8*n - 3*n for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 2)*(-4*k + 4*k + 2*k) + 1 - k - 1 + (-14 - 26*k + 14)*(6 + 0 - 2).\nAnswer: -99*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/44 and 109\/220?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -9. Let x(r) = 3*r**2 - r + 1. Let n be x(1). Let t = 42.408 - 42.308. Which is the nearest to -0.1? (a) i (b) t (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 573 = -6*i - k, -i = k + 117. Let a be 1 - (79 + (-2 - -1)). Let l = a - i. Calculate the remainder when l is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2751.8 + 2755.8. Which is the nearest to -2? (a) 3\/4 (b) 0 (c) -1\/8 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 946*d = 953*d + 63. Is 34 a factor of ((-3)\/2)\/(d\/384) + 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -12*b - 1. Let y be z(-2). Let c = y + -42. What is c rounded to 0 decimal places?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 445603859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-20) + ((-173988)\/10)\/(-3). Round z to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (153\/(-12))\/(4\/80). Let j be m\/(-9) - (-7)\/(-21). Suppose -4*i + j = 4*v, -v = 3*i + 3 - 14. Let c(w) = w - 6. Determine c(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 133303737\/5 - (-12)\/(-30). Let n = -10760747 + f. What is n rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -27*v**6\/10 - 57*v**5\/5 + 100*v**4\/3 - 32*v**3 + 199*v**2. Factor l(m).\nAnswer: -4*(m + 3)*(9*m - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2834 - 25504\/9. What is the closest to v in 2, -6, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0013 - -218.9987. Let r = b + -219. Sort -1\/2, 14, r in decreasing order.\nAnswer: 14, r, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + t**2 - 2*t + 6. Let f be k(4). Suppose 4*z = 58 + f. What is the remainder when z is divided by 7 - ((3 - 3) + -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 123, 213, 257, 249, 183, 53, -147?\nAnswer: -423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*p = 207*p - 51 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*sqrt(1425)*1)\/((2*sqrt(2112))\/((sqrt(88)\/sqrt(2))\/sqrt(4))).\nAnswer: 15*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 26655, 106634, 239935, 426558, 666503, 959770, 1306359?\n\"Answer: 26661*r**2 - 4*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -361.5 - 0.5. Let c = 365 + s. What is the third smallest value in -0.2, 2\/17, c, -4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69320640 divided by -6.\nAnswer: 11553440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide (-738176)\/(-730) + 3\/(30\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221205?\nAnswer: 3, 5, 14747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + c - 41612 = -7*h, 0 = 2*h - c - 16656. What are the prime factors of h?\nAnswer: 2, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 240646.7 litres?\nAnswer: 240646700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cycxccxh. What is prob of sequence xxc?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26991949 to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002350165 rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 45*t - 121. Determine h(40).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*k = 96*k - 22. Suppose -k*l - 4 = 0, 2*u = -2*u - 2*l + 10416. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 4*k - 92, -m - 21 = -4*k + 7. Let h = 50 - m. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 - 25. Let c be ((-15)\/9)\/((-2)\/a). Let i be 0\/(0 - -1 - -1). Put -0.1, i, c in ascending order.\nAnswer: c, -0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-4\/3))**(-12)\/(u**(-3\/4)*u)**14)**(-27) assuming u is positive.\nAnswer: u**(-675\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 166, 667, 1524, 2755, 4378?\nAnswer: 6411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9793 - -1?\nAnswer: -9792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205248 is divided by 2454.\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1043?\nAnswer: 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0727 less than 2002544108?\nAnswer: 2002544108.0727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 42*i + 176. Let s be d(-5). What is the smallest value in 5, s, 3\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1900, 3, 461 in descending order.\nAnswer: 1900, 461, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2055740 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -i**5\/45 + i**4\/24 + i**3\/18 + 2*i**2 - 1. Let b(l) be the second derivative of d(l). Factor b(m).\nAnswer: -(m - 1)*(4*m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 7:23 PM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5457.530278 rounded to the nearest 10?\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 1 = 5*k + 13, k - 5 = -3*h. Suppose -h*j + 17 + 28 = 3*z, 2*j = -4*z + 28. Let p = j + -10. Is 2 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-8) - (-34)\/(-16)*-10. Which is greater: 43\/2 or l?\nAnswer: 43\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**5 - 2*o**4 - 2*o**3 + 2*o**4)*(0 - 3 + 0)*(-2 + 3 - 2).\nAnswer: 6*o**5 - 6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14.95 - 15.1. Let k = 0.85 - i. What is the closest to k in -8, -2\/11, 3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2629, -2623, -2617, -2611?\nAnswer: -2605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1564135.\nAnswer: 5, 83, 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24.5 + -4.1. Let w = y - -28.629425. Let z = w + -0.03. What is z rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -77 (base 13) to base 5\nAnswer: -343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 228, 714, 1478, 2490, 3720, 5138, 6714, 8418?\n\"Answer: -5*x**3 + 169*x**2 + 14*x + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -26602*j**2. Let w(g) = -9*g. Determine w(r(i)).\nAnswer: 239418*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -9497*b - 121. Let f(h) = -1900*h - 24. Let v(l) = 2*c(l) - 11*f(l). Let s be v(3). Round s to the nearest one hundred.\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*q + 33*q = 2*v - 1, -4*q + 28 = -4*v. Let s be (v\/4)\/((-66)\/9900). Calculate the greatest common factor of 195 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v**2. Let u(m) be the second derivative of -1\/6*m**3 + 0*m**2 + 0 - 2*m. What is u(i(r))?\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -141, -331, -509, -675?\n\"Answer: 6*g**2 - 208*g + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 7:24 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - 6)*(-20)\/35. What is the third derivative of 0 + 15532*h**2 + 0 - 15807*h**2 - 24*h**n wrt h?\nAnswer: -576*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -5. Let y(k) = -16*k + 48. Let l be y(7). Let i be (8\/(-6))\/(l\/144). Solve i*m = f*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11623133?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 4*t**2 + 2. Let b be x(4). Let w(r) = r - 4. Let d be w(0). Let o(z) = z**2 - 25*z + 153. Let g be o(15). Put g, d, b in descending order.\nAnswer: g, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*t = t - 25, 3*s - 15 = 3*t. Let b = -18 - -11. Let n = 1 - b. What is the greatest common divisor of n and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2439, 2767, 3313, 4077, 5059, 6259, 7677?\n\"Answer: 109*p**2 + p + 2329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 91 = w - 139, -3*w = 3*m + 327. Let u = m + 162. Let h(s) = 83*s + 173. Let i be h(-2). Calculate the highest common factor of i and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -220824569 + 0.15\nAnswer: -220824568.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -278 - -3865\/14. Let i(q) = -5*q - 4. What is the common denominator of i(9) and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -0.6 (b) 2655 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2029 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01321177 rounded to five dps?\nAnswer: 0.01321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 4 = -2*a. Let w be (0 - -1)\/(1\/6). Let c = 0 + w. What is the remainder when a is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.042 and 27621789198.\nAnswer: 27621789196.958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 18.133659 and -5369089.\nAnswer: -5369070.866341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 256\/(-40)*(-49 + 44)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6289875?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/((-30)\/20)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 7*q**2 - 24*q - 169. Determine h(-6).\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 - -40. What is the nearest to -0.1 in g, 1\/6, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/3 - 146\/(-6). Suppose -2*a = -a + 4. Let z = d + a. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.08 + 1.92. Which is the second biggest value? (a) -2\/11 (b) -0.4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddnnd. What is prob of picking 2 n and 2 d?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 11*v - 72. Which is smaller: 50\/7 or v?\nAnswer: 50\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -230533 or -230529?\nAnswer: -230533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -296*w + 97*w + 117*w + 272*w**4 wrt w?\nAnswer: 3264*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 5*u + 13. Let k be (u\/3 + -2)*3. What are the prime factors of (-1 - 39\/(-6))*k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -7194, -5, -3, -31 in descending order.\nAnswer: 3, 1, -3, -5, -31, -7194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80506)\/(-1170) - (-4)\/18 - (-108)\/(-3510)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 19*z - 188. Let v be c(10). Let n be (266\/35 + -8)\/(v\/670). Is n != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.16 - 0.56. Which is the biggest value? (a) j (b) -5 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssjpsmxsjjjjmjx. What is prob of picking 2 j and 1 x?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*i - 5*i + w - 18, -3*i + 64 = 11*i + 5*w - 10 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 11:54 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-44)\/3 + 10\/(-30). Let w be 2\/(-10) + (-228)\/v. Calculate the greatest common divisor of w and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y - 12. Let l be d(15). Let n(p) = 4 + 7*p + 3*p - 4*p. Is n(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10803685 to the power of 1\/2, to the nearest integer?\nAnswer: 3287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 318.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 1:55 AM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 340 <= 516?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7742 + 277?\nAnswer: -7498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) - (-4 + (sqrt(19)*-3)**2) - (5 + -2 + sqrt(19)).\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 35 = 5*x, 0 = 4*l + x - 23 + 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 - 31 - ((-1 - -3) + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 148 + -148.61. Let v = 5.856 - 5.05. Let o = v + s. What is o rounded to two dps?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(-5 - 0) - 2. Let a be (9\/(-2))\/((-6)\/128). Let w = a - 92. Solve -2*q = -y*q + w for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-7\/2)*j*j*j**(-23)*j**(-1\/5)\/j**27 assuming j is positive.\nAnswer: j**(-517\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1*(sqrt(7) + sqrt(7) + 2) + 4).\nAnswer: 12*sqrt(7) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3010 and 6033803.\nAnswer: 422366210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 2*l + 5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21 by 9144.\nAnswer: -7\/3048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 91120 to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z**(2\/9)*z)*z)\/z)\/z)\/z*z\/(z\/(z**(-7)*z))*z*(z\/(z*z*z**0)*z)**21 assuming z is positive.\nAnswer: z**(-65\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l - 30 = -0*l + 31*l + 306 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -4, -154\/15, -2447, -5 in increasing order.\nAnswer: -2447, -154\/15, -8, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -534 + 582. What is the greatest common factor of 30 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, -9, 2\/3, 3, -1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q**1*q)*q**(-2\/17)*(q\/q**(-3))\/(q*q\/q**(-2\/3)*q) assuming q is positive.\nAnswer: q**(-40\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {t: 1, s: 2, j: 1, i: 2, e: 2, b: 5}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jmjj when four letters picked without replacement from {j: 6, m: 12}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1385 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 93880 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**2 + 14*t**2 + 6*t**2.\nAnswer: 23*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 188210428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -496*n - 327*n - 12345 = 0 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 1. Let d = -19749 + 19754. What is the second biggest value in -1, q, d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42228535 to the power of 1\/2, to the nearest integer?\nAnswer: 6498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 9*z**2 + 45*z - 412. Let j be m(5). Solve -j = -14*q - 80 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 14. Is m even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 806, 1539, 2280, 3029?\nAnswer: 3786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 r when two letters picked without replacement from {x: 2, r: 2, q: 9}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -11641 divided by -4?\nAnswer: 11641\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.4, 2\/81, 1\/10?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.28 times 7.24?\nAnswer: 2.0272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/34776*-21)\/((-5)\/10)?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 58175259 to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/20 + (413\/84 - 5).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 9:03 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**2\/3 - 1596*u - 4786\/3 = 0.\nAnswer: -2393, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -443 - -551. Let h(j) = 4*j + 2. Let p be h(3). Let k = l + p. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1653\/13 - -127. Let o be -1 + ((-36)\/(-65) - -1). Let m = o + n. What is the third biggest value in 4, 5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1625*a**3 + 8167*a**3 + 893*a**3.\nAnswer: 10685*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15213 + -15217. Which is the third smallest value? (a) -1 (b) -0.07 (c) 0.3 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -9513?\nAnswer: 9509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 6 (b) -3 (c) -0.4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**2 + 6*i - 1. Let c = 45 - 41. What is k(c)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.05 (b) 0.5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106546?\nAnswer: 2, 11, 29, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -3*sqrt(108))*1*-5 + (sqrt(108) - (5 + -5 + sqrt(108))) + sqrt(108)*-4*1)**2.\nAnswer: 1320*sqrt(3) + 13168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -1. Suppose -18*s + 418 + 338 = 0. Suppose -38*m + s*m + 12 = 0. Sort m, -2, i in decreasing order.\nAnswer: -2, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*k - 178*k + 2264 = -1784. Calculate the remainder when 780 is divided by k.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 134332 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 667\/(-1564) + -1 + (-10)\/(-8).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*q - 3*q + 4*q + 16*q.\nAnswer: 79*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 0, -5*p + 5*i - 18 = -98. Suppose -n = -5*n + p. Solve 0*g = n*g - 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**11*q)\/q*q)**(-22)\/(q**(-1\/17)*q**(17\/5)*q))**(-2) assuming q is positive.\nAnswer: q**(45618\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1517435 (base 9) to base 2.\nAnswer: 11001100110000110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or 131\/10?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 4*u**2 + 5*u - 2. Suppose -7*k = -3*k - 12. Let a be i(k). Suppose -10 = -a*v + 6. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -4*c - 2 + 34*c**2 + 39*c**2 - 74*c**2 + 9. What is f(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q + 13 - 55*q - 5 - 14 - 1 to the form l + b*q and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -11 + c**3 + 0*c - 1\/2*c**2. Let x(m) = -9*m**2 + 4*m**2 + 3*m**2. Give x(r(l)).\nAnswer: -18*l**4 + 12*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 15 = -3*q, -q - 2*d = -2*q + 5. Suppose 3*g - q = 4*k, -6 = -g - 3. Which is the third smallest value? (a) k (b) -0.2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**3 - 133*c**2 + 66*c + 66. What is the remainder when 386 is divided by i(66)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 5*f = -81, 0 = 13*z + 2*f - 120 + 112 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10719 is divided by 76.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-3 - -2) - (0 + 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -7478*y - 22405. What is g(-3)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -108, -164, -220, -276, -332?\nAnswer: -388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (3 - (4 + -2)) - 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.195773 - 0.112327. Round g to two dps.\nAnswer: -6.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260 = 3*n + n. Suppose 0 = 10*z + 79 - 23 - 26. Calculate the common denominator of -2 - (n\/z)\/(-5) and -35\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f - 37. Let v be w(-16). Let h(g) = -g**3 - 4*g**2 + g. Let a(k) = 18*k**3. Calculate the least common multiple of a(1) and h(v).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(2\/59)*r*(r\/r**(-8\/5))\/r assuming r is positive.\nAnswer: r**(1072\/295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/60 and -46\/423.\nAnswer: 8460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -p + 67, 0 = 3*m + 3*p - 34 - 74. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 34*v**2 - 9*v + 24. Let d(h) = -12. Give -2*d(c) - t(c).\nAnswer: -34*c**2 + 9*c","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 19.75372g?\nAnswer: 0.01975372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of f**2 - 5*f - 2. Let g = -109 + 105. Determine v(g).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (1 + 2 + -71 + 76).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6487981 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-45)*12\/14*354\/(-236).\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*d**4 + 43448*d**3 - 354172*d**2 + 738656*d - 77760 = 0 for d.\nAnswer: -1215, 1\/9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32751184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 200704?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*((sqrt(3) - sqrt(15)\/(-2*sqrt(5)))*4 - (sqrt(300) + -1 + sqrt(300))*1))**2.\nAnswer: -112*sqrt(3) + 2356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 10560*j**2 - 3 - 10573*j**2 + j + 5 as u*j**2 + i + v*j and give u.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -42*l. Let p(k) = 42*k - 1. Let i(g) = -4*o(g) - 5*p(g). Suppose 8*b + 33 = -3*b. Is i(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597.63 minus 32718167?\nAnswer: -32717569.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0*m**(2\/17))\/(m**(-1\/3)\/m*m*m**(-5)\/m*m)*(m*m\/m**(-2\/21)*m*m**(-6))**(-20) assuming m is positive.\nAnswer: m**(7562\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31 - 48 - 31) + 69?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 4:55 PM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s**3 - 5*s**3 + s**3 + 0*s**3 + s**3.\nAnswer: -9*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a milligram in micrograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*t + 15 - 5, -4*u - t + 19 = 0. What is the units digit of 10\/u*(-18)\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 328460 and 220.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**3 - 9*w**2 + 102*w - 544. What is r(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110558 rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -15*m**3 - 16*m**2 + 22*m + 325. Let o(t) = 8*t**3 + 9*t**2 - 12*t - 163. Determine -6*b(w) - 11*o(w).\nAnswer: 2*w**3 - 3*w**2 - 157","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 384 - 214. Solve -6*x = 164 - s for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1575833.56 to the nearest 100000.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 336995 is divided by 354.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 1. Let n = 9.2 + -50.2. Let u = -40 - n. What is the closest to u in 0.5, y, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*i - 0. What is the nearest to 1\/4 in -5\/4, i, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51)\/(-153)*405\/2*284\/(-426)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5616067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(3) + (5 + sqrt(3) - sqrt(3)) + 0 + 2 + -5 + (sqrt(3) - sqrt(363)) + 1))**2.\nAnswer: -1350*sqrt(3) + 6300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence et when two letters picked without replacement from {t: 1, u: 3, f: 6, e: 7}?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.122 in 1\/2, -5, -2\/15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108049 is divided by 21609?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*d**2 - 6*d**2 + d**6 - 10*d**6 + 7*d**3 - 66*d - 8*d**6 wrt d?\nAnswer: -2040*d**3 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**10\/(t**10\/t*t) assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -756 + 1883. What is the greatest common factor of t and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -5*o**7\/168 - o**6\/3 - 15*o**5\/16 - 834*o. Factor w(a).\nAnswer: -5*a**3*(a + 3)*(a + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*(q*q*q*q\/(q\/((q*q\/(q*q*q**(2\/11)*q))\/q)*q))\/q*q\/q**(1\/19) assuming q is positive.\nAnswer: q**(160\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 16) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 101226, 101225, 101224, 101223, 101222?\n\"Answer: -j + 101227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 81*m - 42*m + 3*m**3 - 3*m**3 - 9*m**4 wrt m.\nAnswer: -108*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 279580173?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/23 (b) -947 (c) 2 (d) -2\/43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -l - 41*l + 2405. Solve -l*p + 31 + 34 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31149535, 62299071, 93448607?\nAnswer: 124598143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of 7\/15*p**6 + 4\/21*p**3 - 2 - 12*p + 11\/10*p**5 + 16\/21*p**4 + 0*p**2. Factor u(b).\nAnswer: 2*b*(b + 1)*(7*b + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3443*z**5 - 6*z**4 - 5073*z - 9.\nAnswer: 68860*z**3 - 72*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70 - x**3 + 3*x**2 - 52224*x - 69 + x**2 + 2*x**4 + 52223*x to w + a*x**3 + p*x**2 + g*x**4 + v*x and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59, -10, 25, 40, 29, -14, -95?\nAnswer: -220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 21831 divided by -2\nAnswer: -21831\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 188485*w. Let b(r) = 5*r**2 - 2. Give v(b(j)).\nAnswer: 942425*j**2 - 376970","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + 8. Let g = -16 + l. Is 1 != g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7787, -15861, -23935?\n\"Answer: -8074*t + 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9729735 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 274811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1217450?\nAnswer: 2, 5, 13, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/195 + 7\/(1638\/(-24)).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000028966 rounded to 7 dps?\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*v - 140 = -47*v. Solve -9*f - 13 = v for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 2*y = 1875174. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134053.\nAnswer: 134053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, -61197, 5, -3, 58, 3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - d + 5*d)*(0*d - d - d - 2 - d + 2 + (-5*d + 0*d + 3*d)*(1 + 3 - 2) - 3*d + 0*d + d - d - 3 + 3).\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 46d - -6?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/((-8)\/148) - -2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**3 + 4*c**3 - 12*c**3 + 5*c**3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 105 - 100. Suppose -n*c = 309 + 241. Let t = -17 - c. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 18\/35 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0)*(-59*f + 2*f - 31*f).\nAnswer: -176*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1822750285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 3*m - 14. Let t = -16 + m. Let h be (11 + t)*(-3 - (-318009)\/3). Round h to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 39*g**2 + 16*g + 388. What is x(6)?\nAnswer: 1888","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m = -1583 - 203. Calculate the remainder when m is divided by 75.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2040 + -1384. List the prime factors of g.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by 45.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -226594 and 0.03.\nAnswer: -6797.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -73 + (-5 - -6 - -17).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 591*q = -103*q - 30536 for q.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 374\/237?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -555*w + 49606. Calculate i(90).\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u - 6. Let p(h) = h**2 + 15*h - 9. Let v be 27\/6*(-30)\/9. Let y be p(v). What are the prime factors of b(y)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -6*f + 3*f - 2 + 4*f. Let w be a(9). Find the common denominator of (-93)\/(-14) + 2\/w and -101\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**(-7\/3)))\/x*x*x\/(x\/((x*x*x*x**(2\/9))\/x)))**1 assuming x is positive.\nAnswer: x**(41\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.04 + 2.96. Let y = -285 - 26. Let x = 316 + y. Which is the fourth smallest value? (a) 2 (b) n (c) -1 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37474*r + 112413*r - 37466*r + 26 - 37472*r.\nAnswer: r + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -416747*m + 0 + 10 - 10.\nAnswer: -416747*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 - 2*y + 87 - 28 + 0*y - 28.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a microsecond in nanoseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 766433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**3*h*h)\/(h**(2\/7)\/h))\/(h**(-1\/4))**(-34) assuming h is positive.\nAnswer: h**(-39\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4865\/(-98) + 1\/7)*-86?\nAnswer: 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 0*v - 250. Let s = v + 62. Calculate the common denominator of -45\/28 and 84\/s*498\/(-16).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.99 + 0.01. Suppose q = -5*r - 34 + 7, -2*r - 3*q - 16 = 0. Sort 2\/19, v, r in ascending order.\nAnswer: r, 2\/19, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/7*52\/78. Put -7, i, 4\/5 in ascending order.\nAnswer: -7, i, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1736683 to the power of 1\/2, to the nearest integer?\nAnswer: 1318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 14*j - 10. What is h(15)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 717 and 20145549.\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 98240076*j**2 - 26449317*j + 1.\nAnswer: 196480152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 99 + 264. Suppose 9*a - s = 132. What is the highest common divisor of a and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -9*u**4\/7 + 132*u**3\/7 - 201*u**2\/7 + 78*u\/7 = 0.\nAnswer: 0, 2\/3, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**3 + 15*a**2 - 10*a + 16. Let t be g(7). Put 13, t, 5 in ascending order.\nAnswer: t, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/17*t**2 + 0 - 20\/17*t.\nAnswer: -2*t*(t + 10)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 10:15 PM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 56, 65, 74, 83, 92?\n\"Answer: 9*x + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 155\/223906032 and 77\/444258.\nAnswer: 223906032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*s + 51 = 14*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 3814?\nAnswer: -3814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 12742222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5652, -5680, -5726, -5796, -5896, -6032, -6210?\nAnswer: -6436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 21315 times 3\nAnswer: 63945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1028, 2065, 3102, 4139, 5176?\n\"Answer: 1037*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 100435 and 530.\nAnswer: 200870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56.82 - -56. Let s = p - -1.32. What is the second smallest value in -4, s, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/3 + 676*n**2 + 202104*n + 13399344.\nAnswer: -2*(n - 1266)*(n + 126)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 820896?\nAnswer: 2, 3, 17, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of y**2\/2 + 1067. Let m(b) = 66*b**2 - 3*b - 9. Determine x(m(g)).\nAnswer: 66*g**2 - 3*g - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 2*a - 1. Calculate the common denominator of 4\/a + 6\/(-12) and -71\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.0087, 1\/5, -4\/15, -2\/13.\nAnswer: -4\/15, -2\/13, -0.0087, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004 rounded to five dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 7*l + 16. Let m be o(-2). Let t(p) = 4*p**2 + 2*p**m - 5*p - 32 + 23. What are the prime factors of t(6)?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + 1 + 1)*1. Suppose r = 3*g - 7*g. Does 14 divide 13 + 1 + (g - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-430)\/(-7) - ((-864)\/7)\/216?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 96 = -4*n. Calculate the common denominator of n and (-200)\/22 - ((-39)\/(-26))\/(6\/(-28)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 a when two letters picked without replacement from paapaaaapp?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4088.931 months in millennia?\nAnswer: 0.34074425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 62972 divided by 692?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -149, -353, -619, -935, -1289?\nAnswer: -1669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m - 3. Let b be a(-5). Let x = b + 5. Let o(z) = z**2 + 4*z + 4. Let w be o(-4). What is the nearest to -1\/2 in 0.2, w, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 631 is divided by 548.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -396*p**3\/7 + 8256*p**2\/7 - 43772*p\/7 + 7688\/7.\nAnswer: -4*(3*p - 31)**2*(11*p - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 1. Let v(d) = -8*d - 1. Let b be v(-3). Let z be 0\/b - -4*(-1 + 0). Sort f, -2, 2, z in decreasing order.\nAnswer: f, 2, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 j when three letters picked without replacement from iivvivvvvijvjjjj?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*n - 1 + 2*n + 3*n + (6*n + 2 - 2)*(-1 - 7 + 3) to c + f*n and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1086 and 1.9?\nAnswer: 0.20634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1498557 is divided by 448.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 12905, 25834, 38767, 51704, 64645, 77590?\n\"Answer: 2*w**2 + 12923*w - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 1 = -5*w, -5*w + 13 = 3*v - 7*w. Suppose c = -f + 12, -c - 5*f + 19 + 13 = 0. Let p(o) = -5*o + 1 - v*o + c*o - 3*o + o**2. What is p(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.7 - -4.6. Which is the nearest to 4? (a) 1 (b) 3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 36\/14 + -2 - (-816)\/238. Solve -5*g + 20 = -f*g + 5*k, -k = -g - 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*k**4 - 6*k**3*n**2 + 4*k**2*n + 2489*k*n**2 - 10*n**2 wrt k?\nAnswer: 60*k**2 - 36*k*n**2 + 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13 or 232?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 34*r**2 - 3 - 23*r**2.\nAnswer: 11*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*p**3\/4 - 135*p**2 - 55*p.\nAnswer: 5*p*(p - 22)*(5*p + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 3*j + 2*j - 2, 0 = -3*w + 3*j - 6. Let d(c) = -23 - 24*c - 14 + 31 + 10*c + 12*c. Give d(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -628, -2379, -5292, -9367?\n\"Answer: -581*u**2 - 8*u - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-65136)\/(-56580) + 2 + 96\/(-30).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2552 = 4*k, -3*k = -17*b + 15*b + 1271. Calculate the remainder when b is divided by 3 - 61*(-1 + 0).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 11*o**2 - 26*o - 351. Let u(c) = -5*c**2 + 14*c + 175. Let y(j) = 6*i(j) + 13*u(j). Factor y(b).\nAnswer: (b + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 360 and 180?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000000182 rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -16, -114, -322, -676, -1212, -1966, -2974, -4272?\n\"Answer: -6*i**3 - 19*i**2 + i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*a + 16. Suppose 6*b - 5*b = a. Let c(g) = -2*g + 23. Let q be c(b). Solve 3*u + 3*l + 21 = 0, -7*u - 3*l - q = -3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16558 < 16568?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 281*k**5 + 2533*k**4 - 20*k - 124214 wrt k?\nAnswer: 5620*k**3 + 30396*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 36 = 2*u. Let r = u + -6. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 35760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, b: 3, s: 3, t: 5, n: 1, k: 1}. What is prob of sequence ss?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6712, -26903, -60552, -107659, -168224?\nAnswer: -242247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.03 + -0.104. Let b = 0.174 + m. Let g be ((-1)\/3)\/((-5)\/6). What is the second smallest value in b, -7, g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/4, -5, 0.5, -0.6, 4\/17?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/31 and -15\/127.\nAnswer: 3937","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*i + 6*i - 208. Let t = i + 80. Calculate the remainder when 82 is divided by t.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31 + 33. Solve k + 3 - b = 2*h, -5*h - 5*k = -40 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -736, -1885, -3036, -4189, -5344?\nAnswer: -6501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1170 - 1170 + 30*k**2.\nAnswer: 30*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (206\/(-9) - (-1990)\/199)?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19.5 + 12. Let x = -3.5 + i. Let l = -0.2 + 0.2. Which is the biggest value? (a) l (b) x (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 138578688 by 47232.\nAnswer: 2934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 123 and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5945415587 a multiple of 665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/3257 - -9761\/16285. Suppose 24*q = 29*q - 15. Determine n, given that -3\/5*n**2 + 0 - 6\/5*n + h*n**q = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -115.6 and 1?\nAnswer: -115.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 38*-147.1\nAnswer: -5589.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.5 - 2. Suppose 0 = -3*f - 5*g + 14, 4*f - 2*g + 4 = -3*g. Let m = f - -6. Which is the second smallest value? (a) 1\/7 (b) m (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -1\/8, -68, 2\/9 in increasing order.\nAnswer: -68, -1, -1\/8, 2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-1 + -1 + 3). Let a be (h - (-20)\/(-6))*6\/(-5). Let s(x) = -6*x**2 - 4*x + 6. Let y(b) = -17*b**2 - 11*b + 17. Determine a*y(c) - 11*s(c).\nAnswer: -2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/5, 93, 74\/15, -3, -2, -4\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 250 - 166. Calculate the remainder when (-2)\/(-12) + 1890\/972*138\/10 is divided by (1\/3)\/(4\/x).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 6*u + 4. Let p be k(6). Let r = -163 + 168. Suppose d + r*d = 9*d. Solve d = a - 0 + p for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -73*a**3 - 3*a**2 + 6*a + 14. Let k be o(-2). Calculate the greatest common divisor of 84 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 4*x**2 - 4*x - 5. Let i = -13 + 11. Let k be 7\/i + (-4)\/8. Let m be f(k). What is the highest common divisor of m and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*k**3*n**2 + 3*k**2*n**3 + 112*k*n**3 + k*n**2 wrt k.\nAnswer: 78*k*n**2 + 6*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51104 = -30*f - 17024. What are the prime factors of f?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u - 16. Give x(26).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25*n**4*q + n**4 - n*q - 156*q wrt n.\nAnswer: -100*n**3*q + 4*n**3 - q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g. Let n(l) = l + 1. Let p(s) = -4*s - 5. Let k(a) = -5*n(a) - p(a). Calculate q(k(x)).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 26\/3*r**3 + 0*r**2 + 0*r - 107. Let l(s) = -5*s**2. What is l(v(j))?\nAnswer: -3380*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 0*p + 2*p = 18, -2*p + 42 = -4*x. Let j(i) = -16*i + 6. Let w be j(x). Suppose 26 - w = -4*q. Is 7 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -4*a - 1. Let y be o(-1). What is the common denominator of -177*y\/(-216) - 4 and 20?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -935 - -3438. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1883*-0.124.\nAnswer: 233.492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r + 93 - 34 - 27 - 33. Calculate m(10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, -1, -1036?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 14*v - 1. Let y be 4*(-3 + 2)\/(-4). List the prime factors of p(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8704526691\/5429380 + -929451\/580. Let c = 2\/851 + g. Factor 4\/11*j + c*j**3 - 2\/11*j**4 + 0 - 10\/11*j**2.\nAnswer: -2*j*(j - 2)*(j - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -9*s + 1 - 1\/3*s**3 - 5*s**2. What is the units digit of h(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tztdfrdz. Give prob of picking 2 t, 1 f, and 1 z.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tmt when three letters picked without replacement from tmttmtmmtmtmtmtmtmmm.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -16*v + 5. Let j(r) = -31*r + 9. What is -6*j(c) + 11*o(c)?\nAnswer: 10*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 59925 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 4) to base 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17237237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 21 + 18 = 4*b, 46*a + 2*a = -9*a + 3*a + 5*b - 109 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0013411 to four decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1.79 * 8972\nAnswer: 16059.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 181583 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7227 + 10ae?\nAnswer: -6168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 1342555032?\nAnswer: -1342555030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2388 equal to 2388?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) - (sqrt(2448) - (sqrt(2448) - (0 + sqrt(2448))))) + -3 - (-3 + sqrt(2448)*-2).\nAnswer: 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + p - 4. Suppose 2*i + 0*i = -3*c + 13, 5*i - 13 = -c. Calculate k(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 727313398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 269.3 to the nearest 10.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 2, -57, 4.\nAnswer: -57, -8, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/(-442)*-1*2.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1968\/21 - 2\/(-7) is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 936\/(-236)*1 - (-1 - 3). Is 0 at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(60\/(-25))*26. Let w = -17 + p. What is the highest common divisor of w and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -965 + 997. Let p = -7255097 - -7255064.999996. Let q = p + v. What is q rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 i, and 1 k when three letters picked without replacement from {b: 1, i: 1, v: 1, k: 1, m: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven halves of a year?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4*m = -5*j + 287, -343 = -3*j - 4*m. Let i = 31 + 4. Calculate the highest common divisor of i and j.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -103639685 at most as big as -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*c - 5*c + 8*c + (3 + 4 - 3)*(-c - 5*c + 4*c))*(-3*c**3 + 0*c**3 + 5*c**3) - 5*c**4 - 20*c**2 + 20*c**2.\nAnswer: 11*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2253358 to the power of 1\/2, to the nearest integer?\nAnswer: 1501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-18)\/90)\/((-2)\/247490) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 + 573 - 1338 + 1278 + 162*h.\nAnswer: -3*(h - 57)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7800 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 316381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2074345 - 105?\nAnswer: -2074451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 230\/(-345) - (196\/156 - (0 + 2))\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5213419*u*y**3 - 6271236*y**3 - 2*y**2 wrt u?\nAnswer: -5213419*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/12 + (-3)\/(-4). Is n*-1893*(-4)\/12 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28080 + -28079.58. Suppose -4*d + 0*d + 20 = 0. Which is the second smallest value? (a) y (b) d (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i + 2. Let u(g) = -g + 10. Let p be u(8). Let z be t(p). What is the lowest common multiple of (-9)\/(-6) - (-34)\/z and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 37367*t - 2. Let k(r) = 2*r**2. Calculate p(k(o)).\nAnswer: 74734*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 13. Suppose v = -c + w*c, 0 = -3*v + 12. Let n be (-10)\/12 + c\/6. Is 0 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -140 - -145. Suppose -3*n + 6 = -3*l, -s*n + 1 = 2*l - 16. Solve l - 3 = -v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199*f + u = -197*f - 112923, 0 = -2*u - 6. Is f a multiple of 255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (23 - 87 - -14) + 27\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 4*o. Let z(r) = -2*r. What is d(z(i))?\nAnswer: 4*i**2 + 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62550 divided by -6950.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -3*v + 1. Let b(w) = -w. Let h(j) = 21*b(j) - 6*l(j). Let q(r) = 2*r + 5. Determine 4*h(i) + 5*q(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q - 2. Let r be b(-6). Let m(l) = -l**2 + 5*l - 2. Let v be m(r). Let p(j) = j**2 + 0*j**v - 2*j**2 + 0*j**2. Let i(c) = 4*c**2. Calculate i(p(o)).\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -5*g + 38, 2*h = 3783*g - 3788*g + 36 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2*o - 20 = 2, -o - 2 = 0. Let a = 17 - p. Solve a*n - 6*n = 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + c + c)*(1 - 2 - 2) - 267*c + 3775 - 3775.\nAnswer: -264*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-16))\/(2\/(-8)). What is the second biggest value in 3, d, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 41*w**2 + w. Let l be s(-1). Calculate the greatest common divisor of l and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 338 = 4*u, -8*y + 4*y + 274 = -5*u. Calculate the greatest common factor of y and 363.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5954013599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3716 is divided by ((-10)\/(-60))\/((-4)\/(-4056))?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -13*l**2 - 2*l - 260. Let u(h) = -h. What is r(u(t))?\nAnswer: -13*t**2 + 2*t - 260","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 21*b - 112. Let s be v(11). Let i(q) = -q**3. Let c(p) = -2*p + 5*p - 1 + 4*p**3 + 3. Let z(j) = -c(j) - 5*i(j). Give z(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3217 + 64439\/20. Calculate the common denominator of 75\/1114 and g.\nAnswer: 11140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o + 9. Let w be r(-9). Let v be 15789\/6*(w + 190). Suppose -5*n = -25, -5*q + v = -7*n + 4*n. What is q rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 x when four letters picked without replacement from {x: 6, u: 12}?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b + -12?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000205461072 rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14 + -43?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54 + -46. Is 745 + 2 - (-5)\/((-20)\/m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 1 + 59*y**3 + 24*y**2 - 2*y - 57*y**3 - 47*y**2 + 18*y**2. Determine n(4).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 23, 16, -7, -52, -125, -232, -379, -572?\n\"Answer: -j**3 - 2*j**2 + 6*j + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 10}. Give prob of sequence uu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 6*b**2 + 2*b. Let a be j(6). Let k = 45 + -40. Suppose k*s + 4*s + 18 = 0. Sort -4, s, a in descending order.\nAnswer: a, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007731686 rounded to five dps?\nAnswer: -0.00077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-1 + sqrt(325))**2 - sqrt(13)*-2*3).\nAnswer: -4*sqrt(13) + 326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 25*x + 153. Suppose 4*h = -f - 2, -2*f - 34 + 19 = -3*h. Calculate q(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 85360, 170315, 255270?\n\"Answer: 84955*o + 405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -407*p**5 + 931*p**2 + 10*p - 941*p**2 - 401*p**5 wrt p.\nAnswer: -48480*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 4 = m, 2*r + 1456*m + 14 = 1454*m for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**3 - 108*h**2 + 484*h - 372 = 0 for h.\nAnswer: -31, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.037*1354.95.\nAnswer: -50.13315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -582, -594, -608, -618, -618, -602, -564, -498?\n\"Answer: l**3 - 7*l**2 + 2*l - 578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -46*h + 791. Calculate the remainder when f(17) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 232 + -237. What is the biggest value in -1\/6, -3, g?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -4*p - 5*y + 21, 2*p = -2*y + 12. Suppose p = 5*d - 17. Solve 0 = 4*k - d*g - 1 + 13, -3*k - 1 = 5*g for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 7*o. Suppose 6 - 24 = -5*n - a, -4*a = 2*n. Calculate the remainder when u(5) is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 + -7. Let o = 16 + -8. Calculate the least common multiple of o and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 1:33 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-5481)\/2970 - (-12)\/(-1584)*-6\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1180128 is divided by 6983.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 825511.\nAnswer: 283, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 2. Suppose -5*a + 20 = 5*d, a = -u*a + 3. Is -1 - -7 - (d - 5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 5)*(19*f + 6990 - 6990) + 0*f - 2*f + 0*f + 0*f + 11*f + f + 3*f - 2*f + f.\nAnswer: 50*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 1:26 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 5*z**2 + 9*z + 24. Let f(m) = 4*m**2 + 9*m + 24. Let d(x) = 6*f(x) - 5*o(x). Let a = 87 - 77. What is the remainder when 34 is divided by d(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3002 is divided by 143?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 1366 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -13, -5, -2, 597, 0 in descending order.\nAnswer: 597, 5, 0, -2, -4, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 2:15 AM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -228 - -228. Let d = 435 - o. What are the prime factors of d?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 32*o**4 - 171*o**3 + 338*o**2 - 264*o + 77. Let n(j) = 48*j**4 - 257*j**3 + 507*j**2 - 396*j + 115. Let d(r) = 5*n(r) - 7*x(r). Factor d(c).\nAnswer: (c - 2)**2*(4*c - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -132 or -134?\nAnswer: -132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 9 = 8*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + 0 + 4 + 5)*-1 + 5.\nAnswer: -2*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**4 + 1356*z**3 + 106244*z**2 - 442764*z + 335160 = 0. What is z?\nAnswer: -210, -133, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.176 and -135.\nAnswer: -137.176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -227 - -90. Is -137 >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 21*j**2 - 1926*j - 552 = 0.\nAnswer: -2\/7, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 149155933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -25*a. Let x be s(-3). Suppose -4*k = 24, p - 66*k = -67*k + 39. What is the highest common divisor of x and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and 314959.\nAnswer: 314955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 60279641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 2*s + 68. Let o = -10 - s. Is 3 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.3 - 0.3. Let n = 170699\/39 - 56904\/13. What is the nearest to c in n, 3, 2\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from avvvavaw. What is prob of picking 2 a and 1 v?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 10*c**2 - 5*c + 15. Let k be f(5). What is the third derivative of k*v**2 + 35*v**6 - 20*v**5 - 19*v**5 + 39*v**5 wrt v?\nAnswer: 4200*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 - 4*z**2 + 4*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (125*o**2 + 334*o**2 - 143*o**2)*(4*o - 2*o - 4*o) + 3*o**3 - 2*o**3 + o**3.\nAnswer: -630*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p. Let d(j) = -7*j. Let n(q) = -4*q + 76. Let x be n(16). Suppose s - 5*s = -5*i - 20, -5*s = -3*i - x. Determine i*d(b) + 9*f(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1253795073.\nAnswer: 3, 417931691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*w**2 + 167*w**3 + 9*w**2 + 15*w**2 + 26*w**2.\nAnswer: 167*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -112402 * 1\nAnswer: -112402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vntiqqttnqqunqvnvn. Give prob of sequence tt.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71972 is divided by 580?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -674 + 668. Let z = 70.2 - 70. Put z, m, -9, 0.3 in decreasing order.\nAnswer: 0.3, z, m, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(330)\/(sqrt(66)\/sqrt(6)))\/(sqrt(726) + 3*(sqrt(726) + -3*sqrt(726))).\nAnswer: -6*sqrt(5)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53723 + 12624943\/235. Let h = 4\/141 - w. Suppose 2*t + 2*t = 0. Are t and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 70 - 48. Suppose -31 = -w + s, 2*s + 25 = -3*s. Let g = w - 15. What is the greatest common factor of q and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12232*d - 24049*d - 2*d**2 + 11828*d.\nAnswer: -2*d**2 + 11*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69854677.\nAnswer: 69854677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/3)\/((-60)\/108*-3)*21?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 1 - 4 - 58*i - 4 - i**2 to the form u + g*i + h*i**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4731 divided by 57?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/(sqrt(72)\/sqrt(2) + sqrt(36)) + sqrt(30)\/(sqrt(6)*2*1))**2 + (sqrt(15) - sqrt(90)\/(sqrt(96) + sqrt(6) + sqrt(6)))\/(sqrt(24)\/(2*sqrt(8))).\nAnswer: 45\/16 + 5*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -20 (b) 2\/15 (c) 0.1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 85 + -85.1. Which is the closest to 2? (a) o (b) -4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/4050 and -149\/132030.\nAnswer: 660150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 15*g**2 - 141*g + 1. Determine h(8).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*g - 991*g**3 + 10*g + 2*g**2.\nAnswer: -991*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -4*f - 50, -35 = -5*t + 3*f - 6*f. Let i be ((-6)\/t)\/((-2)\/(-5)). Which is bigger: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (18\/30)\/((-60)\/(-700)). Solve -15*k + w = -53 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 102041.871 to the nearest 10.\nAnswer: 102040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1248)\/(-728))\/((-6)\/(-238)). Let w(q) = q**3 + 20*q**2 + 17*q + 15. Let h be w(-18). Calculate the greatest common factor of a and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-202 + 202 + 7*x)*(-3*x**3 + 4*x**3 + x**3) + 2*x - 2*x + 2*x**4 to r*x**4 + q*x**2 + c*x + j + d*x**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {l: 9, w: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1988 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4*q + 0*q = -32, 0 = 2*c - 4*q - 16. Let t = 14 - c. Is (-2)\/t - 49\/(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -78*i + 49. Let x be n(4). Let v = x + 519. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 7*c + 5*c - 9*c.\nAnswer: -11*c + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -63.942 - 0.058. Let b = k - -60. What is the nearest to -1 in 1, 2\/11, b, -10?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43114 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3755 is divided by 101?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5538 and 351?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 500?\nAnswer: -502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72027?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21053798 a multiple of 571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2 + 0)*(-2*u + 0 + 0) + 20 + 27*u - 61*u + 35*u)*(2*u + 5*u - 5*u).\nAnswer: -6*u**2 + 40*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.13 (b) -1\/4 (c) 18 (d) 181\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -7*1 - (-3 - 0). Let i(o) = -o + 1. Let h(v) = -8*v + 1. Let x(g) = a*i(g) + h(g). Let n be x(-2). Solve -p = -n*l + 13, 0*p + 3*l = 5*p + 21 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1215 + 3641. Suppose -s = -3*v + b - 0*b, -817 = -v + 2*b. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7880640 equal to -7880637?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-59 - -1) + -6 + 6. Let h = z + 82. What is the greatest common divisor of 18 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -58, -4, 2, 0 in ascending order.\nAnswer: -58, -4, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2122*z - 28531. Determine q(12).\nAnswer: -3067","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 641770\/(-147900) - 36\/(-6120).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 t, and 1 c when three letters picked without replacement from {a: 1, t: 3, f: 2, o: 5, c: 1, r: 3}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14 + 15b58ab?\nAnswer: 15b5897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*i**2 - 28*i**4 + 32*i**2 + (3*i**2 + 3*i**2 - 4*i**2)*(i**2 + 3 - 3) - 3*i - i**4 + 3*i - 1 as s*i**4 + w*i + d + k*i**2 + t*i**3 and give s.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-128)\/12)\/(16\/120). What is p rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 86 + -85. Let t(m) = -3*m**2 - 8*m - 3. Let g(f) = -4*f**2 - 7*f - 2. Let r(p) = -5*g(p) + 4*t(p). What is the units digit of r(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cxc when three letters picked without replacement from cycyccyccyyxyyyccxy?\nAnswer: 56\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -6*t - 16, 4*n - t - 76 = 0. Let a(y) = -y**2 - 7*y + 10. Let m be a(-7). Suppose 4*p = 3*u - n - 2, -5*u = 5*p - m. Solve -h + 15 = u*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -15*s**2\/2 + 4. Let v(k) = -3*k. Let q(n) = -5*n. Let g(j) = 2*q(j) - 5*v(j). Calculate g(y(m)).\nAnswer: -75*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 13748.14 to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4*c**2 + 42*c + 5. Let v(g) = -g**2 + 10*g + 1. Determine 6*s(b) - 26*v(b).\nAnswer: 2*b**2 - 8*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -3*r - x, 4*r - 16 + 19 = 3*x for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/14360928 and -59\/1795116.\nAnswer: 14360928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -0.5395459.\nAnswer: -0.10790918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 268421 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 + 3773904*s - 890146962576.\nAnswer: -4*(s - 471738)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6281*q**2 + 10076*q + 1 wrt q.\nAnswer: -12562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -1047 in descending order.\nAnswer: 4, 0, -1047","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 k when four letters picked without replacement from {k: 3, b: 3, s: 2}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x - 3. Let q be u(3). Suppose -3*i + q = -30. Find the first derivative of 3 + 2*h**2 + i*h - 12*h - 4*h**2 wrt h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - j = 12, -414*j - 12 = n - 411*j for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/30 and 13\/2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11236 - -11248. Solve 16*n = m*n + 4, -o = n for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 6:40 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**3 + 25*s**2 + 14*s - 32. Let k be 1 - ((-54)\/144 - 93\/8). Let b be z(k). Let a = 0.1 - -0.1. Do b and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-20)\/(-3)*-5 - 34\/51. Let n = u - -49. Let s = 27 - n. Calculate the smallest common multiple of s and 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**4 + 412*t**3 - 1616*t**2.\nAnswer: -2*t**2*(t - 202)*(t - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -12802, -12836, -12870, -12904, -12938, -12972?\n\"Answer: -34*g - 12768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8882 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2 = -2*s, 2*c = 2*s + s - 4. Let a(f) = s*f - 13*f + 5*f. Let d(p) be the first derivative of -p**3\/3 - 1. Calculate a(d(r)).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -26*b + 3060. What is the remainder when b is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3 - 2 + 7*s - s**2 + 13. Let r be u(8). Suppose r = p - 1, -4*q + 2*p - 3781 = -1419. What is q rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + 15*l - 14. Calculate k(11).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 7) in base 13?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*f + 2. Let l = 6 - f. Suppose -4*s - l = -14. Is s a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 24*w - 765. Calculate o(27).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -3*c - 4*v + 3*v, -v + 49 = 2*c. What is the remainder when c is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-14 - 36 - -19) - 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -5*r**2 + 3*r + 2*r - 2 + 3*r - 6*r + r**3. Let t(j) = -2*j - 5. Let z be t(-5). Let b be i(z). Solve 0 = 2*a - 4*f + b, 2*a + f - 2 = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0168311 to 3 decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 49.18 and 18999.\nAnswer: 934370.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**5 + 3*j**5 - j**5 + (-7*j**2 - 9*j**2 - j**2)*(-j**3 + 3*j**3 + 0*j**3).\nAnswer: -30*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -165, 4, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2034*s**2 + 390*s.\nAnswer: 4068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffkk when four letters picked without replacement from kkfkfffffff.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 402?\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of t**5\/20 - t**4\/12 - t**3\/2 + 18*t**2 - 10*t. Is m(0) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -21*i**2 + 5*i - 10. Let u(n) = -24*n**2 + 6*n - 12. Let z(m) = -6*o(m) + 5*u(m). Let q(a) = 79*a - 1. Determine q(z(s)).\nAnswer: 474*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is 35 times -5?\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 39122, 39121, 39104, 39065, 38998, 38897, 38756, 38569?\n\"Answer: -m**3 - 2*m**2 + 12*m + 39113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/145884 and -38\/1714137.\nAnswer: 6856548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 20.815463\nAnswer: 4.1630926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6890379 to 3 dps.\nAnswer: 0.689","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**2 + 11*l + 6. Let r be k(6). Is r > -13\/132?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t + 8. Let s be v(-6). Let m be 48\/21 - s\/(-14). Let f(j) = -2*j**m - j**3 + 0 + 3*j + 2*j + 3. What is f(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*q - 0, -4*q - 10 = -2*w. Let j = w - 7. Sort j, -3, -4.\nAnswer: -4, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -551604 minus 6334?\nAnswer: -557938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -512 = -5*s + 4398. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {q: 1, k: 3, m: 7, x: 6}?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4*z. Suppose z = -2*b + 5*b. Suppose -2*u - 3*t + 14799988 = 0, 0 = u - b*t - 2*t - 7400008. Round u to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) + 2*sqrt(204))*1 - (sqrt(204) - (-3*sqrt(204) + sqrt(204))*1))\/((2*sqrt(588) - sqrt(12))*-4*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -8*x**3 - 10 - 6 + 15 - 1 - 3*x + 0 + 7*x**2. What is n(2)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1606 = 101*o + 78*o - 33*o for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r - r - 24*r - 32*r.\nAnswer: -51*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r. Suppose 0*y - 5*y = 0. Suppose 0 = 5*p - y*p - 10. Let z(s) = -2*s - 2*s + p*s. Give b(z(n)).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 10*k - 4. Let v be w(-7). Let b = 33 - v. Calculate the remainder when (-4)\/8 - (-61)\/2 is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 8\/(-3) - 5\/15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 424199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -222 (base 3) in base 6?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17110\/870)\/((-32)\/24).\nAnswer: -59\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1615 times -1?\nAnswer: 0.1615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 29 = 5*c, 0*c - 2*c = 8. Let t = -9 + 14. Suppose t*p - 4 = o*p. Solve -h - p*h = -3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13394640 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -2)*4\/((-4)\/1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*f - 5*h, 3*f + 9 - 24 = 4*h. Solve 0 = f*m - 10*m - 4*u + 5, 3*u = -15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 2 - 6. What is the units digit of (-328)\/(-18) - o\/(-18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/5 of a millisecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -4*n - n. What is the third derivative of 2*r**2 + 2*r**3 - 8*r**4 - 2*r**3 + n*r**4 wrt r?\nAnswer: 96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -60.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-32 - 15860\/(-494)) + (-3)\/(57\/(-63344))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 37, -2, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14798*h + 14793*h = 3*q + 29596*h + 24, 4*q + 8*h + 36 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -27182, -1 in ascending order.\nAnswer: -27182, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 11*x**2 - 56*x**3 + 0*x + 113*x**3 - 47*x**4 - 56*x**3 + 0*x to the form z*x**4 + w*x**2 + i + d*x + m*x**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cy when two letters picked without replacement from cpyypapypy?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-2)*-4*1644\/3288\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -8 (b) 0.8 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -203, -3, 2\/5 in descending order.\nAnswer: 2\/5, -3, -203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, 36\/49, -100, -3?\nAnswer: 36\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70 and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -81\/13 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of 0*x**4 + 0 - 117\/20*x**5 - x**2 - 148*x + 4\/3*x**3. Find the second derivative of a(k) wrt k.\nAnswer: -702*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 6*u. Let o(n) = 8*n + 90044. Calculate o(b(v)).\nAnswer: 48*v + 90044","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -76 or 268?\nAnswer: 268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*j**2 - 86*j**2 + 1 - 3*j**2 + 3 to the form i + z*j + w*j**2 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of v**9\/756 - v**8\/210 - v**7\/70 + v**3\/3 - 30*v + 60. Let o(y) be the third derivative of u(y). Factor o(b).\nAnswer: 4*b**3*(b - 3)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/3))**(-3\/5))**(2\/3)\/((d\/(d\/d**2*d))**(18\/11)*(d*d**(-2\/15))\/d**7) assuming d is positive.\nAnswer: d**(764\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 65122504?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94862*k = 94816*k + 322 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -144*r**2 - 32*r**3 - 26 + 13 + 956*r**2 + 13 wrt r?\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33161 + 285545 = -3824*n for n.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 954 - 953.8. Which is the second smallest value? (a) -0.06 (b) t (c) 2.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 4*i - 4, 0 = 3*g - g - i - 8. Solve 2*v - y + 3 = 3*v, -2*v = y - g for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 75 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 8*x**2 + 8*x - 1. Suppose 2*g + 5*p = 23, 2*g - 5*p + p + 4 = 0. Suppose 0 = 4*l + g + 24. Give n(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 91 and 2561.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-102*53\/(-18921))\/(1\/(266\/(-4))).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0.093, 2\/15, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 800 divide 936800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is bbb88 (base 13) in base 11?\nAnswer: 212752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2471 - 2453. Solve 17 = 7*u - w for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 142*c - 2096 wrt c?\nAnswer: 142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 2*x + 4*d + 10, -29 = -4*x + 5*d. Let a(t) = 119*t + 14. Let n be a(x). Suppose -n = -0*w - 8*w. Is 13 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8280 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - p = 57, u + 78*p - 38 = 82*p. Let j(y) = -y**3 - 4*y**2 + 5*y + 3. Let m be j(-5). Solve -m*z - 2*z = -u for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45233, 45237, 45243, 45251?\nAnswer: 45261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-50.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3315 - 3306. Solve 29 = -x*l - 16 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7687*a*o*z**2 - 10*a*z**2 + 6*a - 2*z**2 wrt o.\nAnswer: -7687*a*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -68 - (-3 + 20 - 46 - -8)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1946 - 1955.61. Round d to one decimal place.\nAnswer: -9.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(288)\/sqrt(8)).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p**4 - 3*p**4 + 4*p**4)*(-65 - 79 + 104 + (4 - 2 - 3)*(1 - 4 + 2)) in the form o*p**3 + s*p**4 + g*p + x + z*p**2 and give s.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4 = 3*k - 2*f, 4*f = 2*k + 16. Let l(p) be the second derivative of p**5\/20 - p**2 - 62*p. Let n(a) = a**3 - 1. Calculate k*l(o) + 3*n(o).\nAnswer: o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3994991 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60 + -35. Suppose 65 = 4*b + i. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -20*w - 27. Let q(m) = -7*m**2. Determine d(q(v)).\nAnswer: 140*v**2 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -24*q**2 - 1194*q + 288. Determine z(-50).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x**2. Let q(k) = -20986*k**2. Give q(h(t)).\nAnswer: -188874*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 7 - 32. Let h(m) = -m + 2. Let o be h(2). Put o, r, 2 in decreasing order.\nAnswer: r, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -39*t - 37. Let f(k) = 20*k + 18. Let y(c) = 5*f(c) + 3*m(c). What is the first derivative of y(d) wrt d?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11 - -49?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25863537?\nAnswer: 3, 7, 1231597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, -7, -8, -61 in ascending order.\nAnswer: -61, -8, -7, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 168 - 52 = 0. Suppose -9 + c = h. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*z + 5*z + 120. Suppose 4*v - 14 = 3*v. What is the smallest common multiple of z and v?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -119 - -130. Let s be (2 + 1 + -3)*1. Solve -2*w + 3*h + 4 = -b, s = -h - 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbii when four letters picked without replacement from {b: 1, i: 7}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 144 = 2*b. Let s be 136\/6*b\/(-12). Let r = s + -31. Let l(y) = -y**3 + 4*y**2 - 5*y + 2. Give l(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/7))**(-26)\/((a*a**(-2))\/a)**9*a**(-4)\/a**(1\/3)*(a**(-2\/7)\/a*a*a*a)**(-8\/17) assuming a is positive.\nAnswer: a**(7243\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q**2 - 20*q - 94. Determine n(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1178 a factor of 359267074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2 = 23. Sort 4, -5, 50, s in increasing order.\nAnswer: -5, 4, s, 50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*m*m\/m**4*m*m)*m**(4\/15))**(-26))**29)**30 assuming m is positive.\nAnswer: m**(-6032)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -3*c, 3*i - i = 3*c + 5. Solve -i = p - 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccpcccccccpcpcpcccc. What is prob of picking 2 p and 2 c?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -394 + 355. Is -272\/7 > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a millennium in months?\nAnswer: 76800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -4*u + 4245, 30*m + u + 1422 = 31*m. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + 373\/(-71) - -2. Let u be 6\/2 + (-387531)\/44020. Let o = u - f. Calculate the common denominator of -57\/28 and o.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11331, -22634, -33937, -45240, -56543, -67846?\n\"Answer: -11303*r - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -121 (b) 18\/5 (c) -0.21 (d) 2\/3 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 717 - 711. Suppose -v*j + 3*n = -4*j - 82, 4*j + 5*n - 186 = 0. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2027 by 224.\nAnswer: 2027\/224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - 41472328053.\nAnswer: -41472328052.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 50 divided by 913\nAnswer: 50\/913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3122 - 1541. What is the greatest common factor of 3 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 167667, 167668, 167669, 167670, 167671, 167672?\nAnswer: 167673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 656?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2165354*q**2 - 4967299*q?\nAnswer: -4330708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31552 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 8:25 PM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 365*s**2 + 6 + 2734*s**2 - 5 to the form a*s**2 + w*s + p and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -183 divided by -82?\nAnswer: 183\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 112, 170, 228, 286?\nAnswer: 344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11925 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 247088943 to the nearest integer?\nAnswer: 15719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9644*x + 9639*x + 125 = 0, 47*u + x - 119 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1252)\/36 + (-2)\/9. Let v = -13 - l. What is the highest common factor of v and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + b + 2*b = -16, 5*b + 10 = 0. Let c = 80 + -1597\/20. Calculate the common denominator of (-1388)\/40 - (-2)\/s and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (272*s - 19*s**3 - 272*s)*(-9 + 11 + 2)*(-2 + 2 + 2)*(-2 + 1 + 0)*(-4*s + 0*s + 3*s) + s**4 + 5*s**4 - 4*s**4.\nAnswer: -150*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of c**6\/120 - c**5\/60 + c**4\/24 + c**3\/6 + 3*c**2 - 129*c - 8. Let j(w) = -3*w**3 - 3*w - 2. Determine -j(n) - 2*m(n).\nAnswer: n**3 + 2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 26 + -7 - 2*2\/(-4). Calculate the greatest common divisor of 30 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54658864?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1889398 (base 12) to base 16\nAnswer: -4eb6e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3\/2)\/g)\/g**2)\/(g**(7\/2)\/(g**(-10)\/g)) assuming g is positive.\nAnswer: g**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 21 = 2*u, 4*u = -5*n + 31. Solve n*r = -2*r - 45 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13291*w + 12874*w + 2085 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1341023, 1341023, 1341013, 1340987, 1340939, 1340863, 1340753?\nAnswer: 1340603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - d**2 + 5*d + 4. Calculate the smallest common multiple of f(-3) and 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 51*x**2 + 38*x**2 + x + 12*x**2 + 73*x**2 - x**3 - 1 + 18*x**2 in the form v*x**2 + t + q*x + b*x**3 and give v.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -9718 - 8517. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173*x**2 - 11*x + 174*x**2 + 196*x**2 - 539*x**2.\nAnswer: 4*x**2 - 11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -100 - -109. Suppose 0 = -5*u - 25, 3*v - y*u + 5*u = -139780. Round v to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 68. Suppose -5*m + 153 = -r. Let y = -4 + 9. Solve -17 = -b - 4*n, b + m = y*n + 15 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - w**2 + 2*w + 1. Let a be (-1 + -2 - 1) + 2. Calculate o(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51 + -50.9. Let w = 0 - 3. What is the biggest value in w, 5, j?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16400 divided by -4\nAnswer: -4100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 60 = 2*y. Suppose 3*l = -l + y. Let j(b) = b**3 + 27. Let w be j(0). What is the greatest common factor of w and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0087197 rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49 or -52?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m - 3*m + 2*m)*(0*m + m + 2*m) + 4*m**2 - 4*m**2 - 2*m**2 - 42*m**2 - 215*m - 14*m**2 + 216*m in the form i + k*m**2 + c*m and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2016?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 2*p = 53, 131*p + 176*p - 239 = -4*i - 37*p + 61 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = b, 23*b + 181 = 5*f + 25*b. What is the greatest common divisor of 10 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i + 9 + i**2 - 4 - 5. Let n(v) = -2*v**3 + 4*v**2 - 6*v. Calculate -6*l(h) + n(h).\nAnswer: -2*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((-21)\/(-231) - 75*(-20)\/(-165)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -4, 0.3, 42 in decreasing order.\nAnswer: 42, 5, 0.3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 252 divide 3964148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*2*sqrt(91))\/((sqrt(112)\/sqrt(4))\/sqrt(4)) + -4)**2.\nAnswer: 80*sqrt(13) + 1316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**4 + 0*j**4 + 2*j**4 + (-j**3 + 0*j**3 - j**3)*(3*j - 5*j + 3*j) + 0*j**4 + 1 - 6*j**4 + 11*j**4 + j - 2*j**3.\nAnswer: 2*j**4 - 2*j**3 + j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 6:13 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 544037?\nAnswer: 13, 41849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 + 0.2. Let z = 1.32 + -0.32. What is the third smallest value in c, z, 2\/9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.157? (a) -12 (b) -0.02 (c) 5\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h*p*v**3 - h*p*v**2 - 19*h*p*v + 38*h*v**4 - 2*p*v**5 + 4*p*v**2 wrt v.\nAnswer: 6*h*p + 912*h*v - 120*p*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 o when three letters picked without replacement from {l: 5, n: 4, o: 7}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**4\/6 + i**3\/3 + 2*i**2 + i. Suppose -1 - 2 = -h. Is 10 a factor of x(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -498 (base 10) to base 13\nAnswer: -2c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 + 109 + u + 246.\nAnswer: u + 303","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1318\/13, 0.3, -0.4?\nAnswer: 1318\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.021 + 0.088. Let f = 0.0744 - z. Round f to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61\/((-11895)\/(-78))*26*5.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*h = 0. Let u be (h\/(-3))\/(2\/1). Suppose -5*s = 5*d + 10, -2*d - 3*s = -5*s - 4. Is d < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 6.307364 years?\nAnswer: 0.006307364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 165106550087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 26*z - 29*z + 1 - 3. Suppose -3*v - 3 - 3 = 0. What is o(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*m**2 + m**2 + 0*m**2)*(-m + 25*m - 9*m) + (2 - m - 134*m**2 + 314*m**2 - 124*m**2)*(-2*m - 3*m + 7*m) as u*m**2 + q + z*m**3 + j*m and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 1:50 PM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/1*-2*(-3)\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 293129*d**3 + 1396216*d**2 wrt d?\nAnswer: 1758774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1*sqrt(891) + 4).\nAnswer: 20 + 45*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891)*2)**2 + -4.\nAnswer: 3560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110011010111 (base 2) in base 9?\nAnswer: -11113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2674137.\nAnswer: 3, 891379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/40 and 46\/55.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63 + 41 + 2 - 6 + 0 + 4 + (1 + 0 - 2)*(-2 + 0 + 1))*(3*q - 3*q + 2*q)*(1 - 9 + 1).\nAnswer: -1470*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -4. Let t = -8 + o. Let s be 2\/4 - t\/12. Which is the third biggest value? (a) s (b) -1\/2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 - -1 - (-2 + 0). Let l be (-4)\/2 - (-27 - j). Let o = -9 + l. What is the remainder when o is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/1*(-6 + 295). Is 4 a factor of s\/85 + 2\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*m + 16*m - 2 - 4 + 1.\nAnswer: 5*m - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 - 4. Let c be 4\/(-6)*y\/(-70). Which is smaller: 2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3164071986?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 982 a factor of 1181483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**2 + 127*j + 330 = 0.\nAnswer: -5\/2, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339 is divided by 182?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -297 - -248.46. Let f = 54 + -5. Let v = f + m. Round v to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 2*w - 2, 5*r + 3*w + 1 - 4 = 0. Solve r = 2*y + 2 - 10 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -21.6 (c) 6 (d) 0.3 (e) 0.2 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 - -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/5 - 19*s**2\/5 + 18*s\/5.\nAnswer: s*(s - 18)*(s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5691 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 9 = -4*y, 2*r - 3*y = -0 - 3. Solve -25 = r*s - 8*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -169.5 - -24.5. Let b = c - -59. Let d = -82 - b. What is the biggest value in 1\/8, d, 0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 522615.1 days to nanoseconds.\nAnswer: 45153944640000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 3521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r**4 + 0*r**4 - 3*r**4 + (-r + 2*r + r)*(-r**3 + 2*r - 2*r) + r**4 - 2*r + 2*r)*(-4 + 4 - 1) as b*r**3 + k*r**2 + j*r**4 + u*r + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/3*(-351)\/6. Suppose -4*j = 103 + b. Let l = j + 80. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3391.788 litres to millilitres.\nAnswer: 3391788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3*q = -3*q. Let i be q - (1 - 4 - 0\/(-3)). Solve -i*h + h + 4 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 72 in 4, -0.1, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -52163*q + 4173034. Calculate t(80).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 5. Suppose m = b + 4*c, 0 = 5*b - 3*c - c + 9. Is -2 at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**2 + 3*t**2 + 2*t**2 - 44*t**2 + 2*t - 2*t**2 - 9*t**2.\nAnswer: -48*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -q - 2. Which is the third smallest value? (a) q (b) -5 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 13*q**2 + 27*q - 66. Calculate d(3).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**3 + 22*r**2 - 12*r - 133. Let g be d(-11). Which is smaller: g or -44\/39?\nAnswer: -44\/39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -4*u**2 + 353*u - 6098. Give l(21).\nAnswer: -449","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 10 - 6)*(-119*h + 59*h + 55*h + 1).\nAnswer: -65*h + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 46375232 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s**2 - s. Let f(z) = 81*z**2 - 21*z - 22. Let g(o) = 16*o**2 - 4*o - 4. Let h(w) = 2*f(w) - 11*g(w). What is -4*h(a) - 11*r(a)?\nAnswer: a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 3, -15200.5, -183, 1 in decreasing order.\nAnswer: 3, 1, 0.2, -183, -15200.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 17 = 2*q, -90 = 5*q + 5*i - 150 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 5*y**2 + 3*y - 2. Let l(p) = -4*p**2 - 3*p + 2. Let j(q) = -2*q - 5. Let f be j(-4). Give f*l(r) + 2*w(r).\nAnswer: -2*r**2 - 3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, -5, 11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 2*x + 0)*(-2 + 0 + 0) - 3 + 3 + x + 2*x - 4 - 5 + 2)*(-x**2 + x**2 + 2*x**3) to f*x**4 + c + k*x + t*x**2 + g*x**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 152.42 - 154. Let n = j + 1.5793. What is n rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1005.9 - -1006. Sort -4, l, 0.2 in descending order.\nAnswer: 0.2, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1204*y**2 + 20*y**3 - 1204*y**2.\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 194941673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 152.0984 decades in years?\nAnswer: 1520.984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -5. Let m be f\/(-3) - (-2912)\/12. Let x = m + -2660\/11. Which is the second biggest value? (a) x (b) -4\/5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c + 2. Let d be t(2). Let g be 19340\/45 + d\/18. What is g rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = 3*d + b, 5*d + 2*b = -2*b + 191. Let x be (0 - 2)\/(1 + (-57)\/51). Let i = d - x. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 4*g**2 - 5*g - 4. Let f be m(-3). Let t(u) = -7*u**2 + 3*u**2 + f*u**2. Let y(h) = 0 + 0 - 2*h**2. Determine y(t(k)).\nAnswer: -8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 571294 and 84542.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-7))\/(240\/(-1120))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 216909 at most as big as 216911?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/4 - 556113*v**2 + 20020149*v\/4.\nAnswer: -v*(v - 9)*(v + 2224461)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v + 10. Calculate y(-20).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.42 less than 3?\nAnswer: -16.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1709074817\/1286117151 - 33\/950567. Let j = -2\/451 + o. Suppose -5*t + 13 + 2 = 0. What is the second biggest value in j, 0, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 e when two letters picked without replacement from iiihdiiidihheddiiihk?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - -15) + (-2 - -6 - -2 - 18)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/8 (b) 5 (c) 0.4 (d) 1.23 (e) 60\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/((-3)\/1) + (-528)\/88. Sort y, -3, -450 in decreasing order.\nAnswer: -3, y, -450","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1032 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: Simplify (sqrt(7920) + (sqrt(7920)*2 - sqrt(7920)))\/(sqrt(125)*2)*3.\nAnswer: 36*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3*k - 12, 10*k - 4*i - 16 = 6*k. Solve 4*a + j = a + 1, 2*a - k*j = 24 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58 + -103. Is -46 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*s + 13*s - 19*s)*(-2*s**3 + 4*s - 4*s) + (5*s - 3*s + 0*s)*(-17*s**3 - 19*s**3 - 27*s**3).\nAnswer: -162*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1146\/15 - 9\/(-15). Let z be (4\/(-8))\/((-2)\/100). Let y = z + a. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -773, 49, 4, -1, 5, 0, -2 in increasing order.\nAnswer: -773, -2, -1, 0, 4, 5, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0089 * 147.\nAnswer: 1.3083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -183 not equal to -157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**3 + 342*b**2 - 7224*b - 3698 = 0. Calculate b.\nAnswer: -1\/2, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2038593058.\nAnswer: 2, 1019, 1000291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, q: 1, y: 2, z: 2, f: 1, s: 5}. Give prob of picking 2 z and 1 s.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/(-28) + 878\/8. What is the greatest common factor of 44 and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-42)\/12)\/(1\/(-48)). Let i = 1370 - 1146. Calculate the highest common divisor of l and i.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 0*w + 5*j = -463 + 458, j - 279 = -55*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -19*b**3 + 5*b**2 - 36*b. Let i(j) = -19*j**3 + 6*j**2 - 37*j. Let r(t) = 5*i(t) - 6*z(t). What is the second derivative of r(q) wrt q?\nAnswer: 114*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n - 1 + 0*n - 1. Suppose 3*j + v + 2 = -1, 0 = -5*j - 2*v - 4. Let r be d(j). Solve 0 = -l + r*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2214\/(-45)*(-5)\/((-2)\/(-2)). Let m(a) = -7*a**2 + 2*a**2 - 240*a - v*a + 488*a. Let i(t) = -11 + 11 - 45*t + 135*t**2 - 10*t. Give -2*i(h) - 55*m(h).\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of 43*f**5\/5 - 5*f**3 - 82*f + 2. What is the second derivative of r(p) wrt p?\nAnswer: 1032*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4986 + -466.4?\nAnswer: -5452.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 11 = -5*s, 0*s - s = 2*q + 5 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - b + 0)*(1 + 0 + 1)*(-399*b + 253*b + 414*b).\nAnswer: -536*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnhhggggnggnnnnggg. What is prob of picking 2 h and 1 g?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4204589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4303, 9203, 14121, 19069, 24059, 29103?\nAnswer: 34213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 3:09 AM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m**2 + 369*m + 223000. Calculate p(341).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5*d = -25, m + d - 5 = -0*d. Solve m = -5*k - 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 10:32 PM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -150 and 0.129?\nAnswer: -19.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(17)*2 + 2)) + -3*(0 + sqrt(17)).\nAnswer: -4*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 27\/4, -5, 0.3, -7, 0 in ascending order.\nAnswer: -7, -5, 0, 0.3, 27\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(3\/16)*j\/j**(-1\/8)*j*j assuming j is positive.\nAnswer: j**(53\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37.1 - 39. Let w = 2.3 + r. Let z be 1\/(-5) - (1 - -4)\/25. What is the third biggest value in 0, 0.1, w, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f - 4\/5 - 1\/5*f**2.\nAnswer: -(f - 4)*(f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3307404 and 2756170?\nAnswer: 16537020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + 559 - (-24)\/8. Let g = r - 297. List the prime factors of g.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1055 - 1?\nAnswer: -1056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -1, -0.03, 10, 2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 20 = -4*c, -3081*w - 3*c = -3079*w - 15 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-197 - -196) + (8 - (-94 - (1 + 7) - 5))?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6528, -13111, -19816, -26703, -33832, -41263?\nAnswer: -49056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 - 10*s - 8*s + 19*s.\nAnswer: s - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -601842, -1203852, -1805862, -2407872, -3009882?\n\"Answer: -602010*y + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 7*d**2 - 18*d + 24. Let c be a(4). Let l(x) = x**3 - x**2 + 21*x + 355. What is the units digit of l(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 3505 = h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = h - 0*h + 6, -6*h = 3*u + 36. Let r(f) = -19*f - 8. Calculate the remainder when r(h) is divided by 31.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**3 + 15*g**2 - 20*g + 19. Let k be y(10). Let z = -2111 + k. List the prime factors of z.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 19*t**3 - t**2 + 1. Suppose 0 = -w + 2*w - 20. Let k = 30 - w. What is the remainder when y(1) is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9335 - -9335.00001029. Round n to seven dps.\nAnswer: 0.0000103","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**5\/7 + 1691938*l**4\/7 + 11843646*l**3\/7 + 15227622*l**2\/7 - 45682596*l\/7 - 91365408\/7 = 0.\nAnswer: -3, 2, 845976","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-37))\/(-5)*255\/(-510)?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 345\/19 (c) -2 (d) 5 (e) -4\/7 (f) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -551 (base 8) to base 9\nAnswer: -441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*k + 21 + 21. What is the common denominator of 57\/20 and k*1\/27 + 662\/(-180)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 590ab (base 13) to base 3.\nAnswer: 22021012122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -6) + (0 - -23) - (49 + -45)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-120)\/5*(-3)\/27. Put z, 1\/8, 0.5 in increasing order.\nAnswer: 1\/8, 0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1630831542?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 6:04 AM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1442, -1422, -1402, -1382, -1362, -1342?\n\"Answer: 20*p - 1462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-21)*(3150\/(-20))\/15\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -99629, -99626, -99613, -99584, -99533?\n\"Answer: t**3 - t**2 - t - 99628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 67376 and 544.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 16 = 0, -f - f = -2*k - 28. Suppose 23*t - 280 = f*t. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w. Suppose 5*m = -t + 19, 2*m - 6*m + 95 = 5*t. Let i(y) = -38*y + 17*y + t*y. What is c(i(h))?\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-26)\/(-10) - 2\/(-5). Let m = -35 - -37. Let j(d) = d**m + d**u - 1 + 3*d + 0*d**3 - 3*d**2. Calculate j(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2069 - -2068. Is g less than or equal to -3\/551?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 13*a**2 - 19*a - 130. Let p be o(7). Solve 0 = p*g - 34*g + 18 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -543 (base 13) in base 2?\nAnswer: -1110000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 6 + 2)*(-295*a - 62*a + 21*a - 83*a).\nAnswer: -3771*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -141403312 + 2?\nAnswer: -141403310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uo when two letters picked without replacement from {a: 2, o: 4, u: 7}.\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.8 - 2. Let v = 0.086 - -0.184. Let n = v - -4.73. What is the second smallest value in f, -2\/7, n?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -36*t**2 + 1. Suppose -2*y - 2*y + f + 43 = 0, 4*y = -3*f + 31. Let h(r) = -2*r + y*r - 10*r. Determine u(h(k)).\nAnswer: -144*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194*r**2 + 29*r**2 + 35*r**2 + 21*r**2 + 27*r**2 + 102*r**2.\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 123. Let d = -63 + c. Calculate the remainder when d is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10438440?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, u: 1, g: 1, z: 2}. Give prob of sequence guii.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, w: 7, u: 2, l: 3, h: 1, r: 3}. What is prob of sequence rwr?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7592, 34085, 78240, 140057, 219536, 316677, 431480?\nAnswer: 563945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45152 is divided by 740.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 - 9866*d**2.\nAnswer: -2*d**2*(d + 4933)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.51 + -0.09. Let r = f - 1.4. Suppose 4*k + 20 = 0, -44*k = 3*x - 47*k + 3. Which is the third biggest value? (a) 2\/11 (b) 0.3 (c) x (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3455*h + 3458*h + 6*h**2 - 5*h**2 as a*h + i + t*h**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -110001010100100110011100 (base 2) in base 11?\nAnswer: -7331093","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 2 + 4. Suppose -6 = -d*n + 6. Suppose -5*t + 84 = n. What is the smallest common multiple of 16 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2454 + 13142 = -334*n for n.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 135003\/160 or 844?\nAnswer: 844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and -6124?\nAnswer: 6124.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*t - 6*t**2 - 3 + 3*t**3 + t - 3*t**2.\nAnswer: 3*(t - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/5, -1, -3, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-6\/11)\/(n*n**(-7)))**5\/((n*n*n\/((n**(-3\/4)\/n*n)\/n))\/n**(-3\/2)*(n\/(n\/n**(-1\/4))*n)**(8\/11)) assuming n is positive.\nAnswer: n**(901\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20.1 * 5.53.\nAnswer: 111.153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 64 and 28.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (1 + -3*sqrt(252) - -6*-2*sqrt(252)) + 3)*5 + -2)**2.\nAnswer: -16200*sqrt(7) + 1417824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(3\/2)*j)*j)\/j*j*j*j)\/(((j**(-1\/2)*j)\/j)\/j)*(j\/j**(-5\/3))\/(j*j**8) assuming j is positive.\nAnswer: j**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-16))\/(((-282)\/188)\/((-1)\/(-3))).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 7*a - 2 - 5*a)*(-5747*a**2 + 10959*a**2 - 5543*a**2).\nAnswer: -662*a**3 - 993*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6, 1, -4, -9, -14, -19?\n\"Answer: -5*g + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -14.5. Let k = o - -3. Let l = 81.1 + -80.9. What is the second biggest value in -4, l, k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 272668390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 625 or 630?\nAnswer: 630","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 197554110 or 197554111?\nAnswer: 197554111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/46 + 17\/276. Let i(u) be the first derivative of 0*u - 1\/9*u**3 + s*u**4 + 1 + 0*u**2. Determine g so that i(g) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1593299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -184680 divided by 46170.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from hqhdhhkkkhhh?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 42 + -a7?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1441669 and 1?\nAnswer: 0.1441669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**2 + 5*u. Let h(a) be the second derivative of a**4\/12 - a**3\/2 - 7*a. Determine 10*h(y) + 6*l(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/1603162469 or 0?\nAnswer: 2\/1603162469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 2*r = 90. Suppose 0 = -3*s - 3 - 6. Let q be ((-3)\/r)\/(1\/s). Which is the second biggest value? (a) q (b) -0.3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 8*u = 4*u - 23, 5*k - 20 = 3*u. Let z = 7 - k. Solve -2*y - h + 3 = 0, -6*y + 3*y + 2*h = z for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 136 - 52. Let x be l\/(-35) - 4\/(-10). Let h = 5 + x. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.017 - 0.137. What is z rounded to two decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5314043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z - 3*z - 312*z**2 + 3*z.\nAnswer: -312*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 184114?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500) + 0 + sqrt(500) + sqrt(500) + -5)*6 - (3 + sqrt(500)*1 + -3))**2.\nAnswer: -10200*sqrt(5) + 145400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, r: 1, w: 1, d: 2, f: 4}. Give prob of picking 1 f, 1 r, and 1 e.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1590240 divided by -48?\nAnswer: -33130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 103 - 45. Suppose -4*x = -6 - 582. Let w = x - q. Is w a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from owkkkkokvoo?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 6*v + 1512 = 0. Let g be (-88)\/(-42) + 24\/v. What is the nearest to 2\/15 in 0.05, 5, g?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 4*v + 11, -37*j = -32*j + 5*v + 10. Suppose 2*s = -j*t + 9, -5*t - 4 = s + 9. Is 3 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of i**7\/252 + 19*i**6\/180 + 53*i**5\/60 + 35*i**4\/36 - 539*i**3\/36 + 343*i**2\/12 - 36*i. Factor k(t).\nAnswer: (t - 1)**2*(t + 7)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 6*q**2 + 3*q + 3. Let s(w) = -7*w**2 - 2*w - 2. What is -3*s(h) - 2*z(h)?\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/2942 and -107\/490.\nAnswer: 720790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -b**3 + 0*b + 0*b**6 + 0*b**2 + 0*b**5 - 13 + 13\/7*b**7 + 0*b**4. What is the third derivative of j(o) wrt o?\nAnswer: 1560*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37 + 39. Suppose -f*b - 36 = -5*c, 27 = -0*c + 2*c - 5*b. What is the highest common factor of 6 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188 + 248*l**2 + 375*l**2 + 187.\nAnswer: 623*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of 5*j**4\/24 - 3*j**2 + 4*j. Let a(m) = 4*m. Let i(n) = 4*n - 1. Let b be i(-1). Calculate b*t(y) + 6*a(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d + 8*d + 25 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 24*x**2 - 17*x + 41. Let s be n(2). Which is smaller: s or 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-8)*(21 + -1). Find the second derivative of 0*y**3 - 2*y**3 + 2*y + x*y**2 - 15*y**2 wrt y.\nAnswer: -12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -27, -4\/7, -5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xr when two letters picked without replacement from xpprrxcxxptppprc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10600854 is divided by 321238.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000019456 to seven decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (166 - 103 + 279)*(0*t - 4*t + 2*t) - 9*t - 21 + 21 + 3*t + 2 + 4*t + 0.\nAnswer: -686*t + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4 (b) 1\/4 (c) -2 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, k: 1, i: 1, z: 2}. What is prob of sequence kz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 82 and 861.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -5509475\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.17761225 rounded to two dps?\nAnswer: 1.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 3*l**2\/2 - 9*l + 1. Let f be 5\/((-264)\/(-32) + -7). Is 3 a factor of k(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 12 (b) 206 (c) -0.07 (d) 2\/9 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -4*s - 3*y + 113, -84 = -4*s + 3*y. Suppose 3*d - u - s = 2*u, -3*d - 4*u - 7 = 0. Solve d*i = 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7413, -12853, -18283, -23697, -29089, -34453, -39783?\nAnswer: -45073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -174 - 87*h**2 - 1090 - 988 + 646 wrt h?\nAnswer: -174*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -40, -46, -52?\n\"Answer: -6*o - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 7 = -2. Let c be ((-2)\/8)\/(k\/(-8)). Let p be (c + -21)*(-7 + 6). Calculate the highest common factor of 95 and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16677420+-29.4\nAnswer: -16677449.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-7)*u*u)\/(u**(2\/3)\/u*u))\/((u**8*u)\/u**(-2\/5))*u**1\/u*(u\/u**(-2\/5))\/u*((u*u**5\/u)\/u)\/((u\/u**0)\/u) assuming u is positive.\nAnswer: u**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1 (b) -4 (c) -1\/6 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -5*b + 179. Let w be (-18)\/54 - ((-28)\/3 + 2). Is 16 a factor of l(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(2\/11)\/b)**(5\/2)\/((b**8*b)\/(b\/b**(3\/16))) assuming b is positive.\nAnswer: b**(-1361\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 858941 to the nearest integer?\nAnswer: 927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 7*x. Let h(p) = -928*p. Calculate k(h(v)).\nAnswer: -6496*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n\/(n\/n**(1\/3))*n*n)\/n)**37\/(n**0)**(9\/2) assuming n is positive.\nAnswer: n**(259\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 69, 65, 61, 57, 53, 49?\n\"Answer: -4*j + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n + 4*n - 6*n + 0*n - 2*n + 3*n + (62 + 9*n - 62)*(-4 + 6 + 0) - 2*n + 5*n - n + (0 + 0 + n)*(1 + 2 - 1) - n - 4 + 4.\nAnswer: 23*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-1 - 2\/(-6)). Let r be (-3)\/h + (-18)\/(-8). Let z(l) = 2*l**2 - 3*l. Let f be z(2). What is the highest common divisor of r and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/22 - (-10 - (-902)\/(-363)))*-3?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.04 - -3.46. Let t = 4 - n. Which is the second biggest value? (a) t (b) 1 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.14862+17.75\nAnswer: 17.60138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 427035.\nAnswer: 3, 5, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 6. Let j = 11.5 - 12. Sort a, -5, j in increasing order.\nAnswer: -5, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**2\/15 - 27784*m\/15 + 1555752\/5 = 0?\nAnswer: -14058, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1067 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 2*l + 4. Let j be z(5). Let p = j - -13. Factor 0 + 0*n + 1\/4*n**5 - 1\/4*n**3 + 0*n**4 + 0*n**p.\nAnswer: n**3*(n - 1)*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + 9*h - 58. Determine w(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**2 - 5*a + 6. Suppose g + 13 = 13*t - 11*t, 2*g - 4 = -2*t. Let f be u(g). Put -2, f, 4, 23 in ascending order.\nAnswer: -2, f, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5591 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - u = -5, 2*u - 5*u + 3 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than -5181?\nAnswer: -5182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49 + -49. Suppose -10*k - 109 + 129 = q. Solve 3*t - 2 = k*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6)*p**2)**(-43)*(p*p**(-6))\/p**0*p\/p**(-3)*p\/((p*p**(1\/7))\/p) assuming p is positive.\nAnswer: p**(1203\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -11 (c) -10\/7 (d) -3\/4 (e) -1\/3 (f) 106\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1072 a factor of 961711401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59 + (-77 - (56 - -13))?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/15)\/w*w*w**(-7)*(((w**6*w)\/w)\/w*w)\/w*w**(5\/4))\/(w\/w**(2\/3)*w*w\/((w**(-5)*w)\/w)*(w*w**(-6)\/w)\/(w*w**(2\/7)*w)) assuming w is positive.\nAnswer: w**(29\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 257 + -183. Suppose 3*g - 2*b - v = 0, -4*b + 3 = 7. Let x(u) = -2*u + 58. List the prime factors of x(g).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -22.4, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220*i = -31*i - 1890 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3268739, -6537477, -9806215?\n\"Answer: -3268738*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {q: 1, p: 1, r: 2, m: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 189946529 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p - 164 + 118 + 0*p.\nAnswer: 2*p - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*l + 9*l + 6*l + 2 - 65*l + 0.\nAnswer: -89*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/13 (b) -15 (c) 41 (d) -4 (e) 0.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/273)\/((6\/6)\/6)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + (5 - 1) + 0. Solve j*i + x = 9, 5 = i - x - 1 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -150279*o**2 + 75208*o**2 + 0*o - 2*o - 7*o**4 + 0*o + 75215*o**2 in the form d*o + h*o**2 + x*o**4 + f*o**3 + l and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -13*l + 148. Which is smaller: 6 or l?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 5*a = 3*v - 25, -v - 3*a = -15. Is 21 a factor of (10353\/(-34))\/(3\/(-6)) + v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 924 and 2468466?\nAnswer: 4936932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3\/8 + 9*w**2\/4 - 1107*w\/8 - 561\/4.\nAnswer: 3*(w - 17)*(w + 1)*(w + 22)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-18)*26 + 8\/(-24)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 5:26 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 62, 206, 490, 962, 1670, 2662?\nAnswer: 3986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 83 + -13. Let c = p - 37. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 213 - 1033 = 0. Let v = -159 - c. Solve 0 = 4*n + 3*g - 6, v*n + 4 = -3*g + 5*g for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11920\/11 - 1097. Which is smaller: x or -12?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 303 + -301. Which is the second biggest value? (a) -3 (b) 0.3 (c) o (d) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20545589 to the power of 1\/4, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7164.8 rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104600 - 392600 = -3*d. Round d to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 21*p - 19. Let c be n(-14). Suppose -8*g + 5*z + c = -5*g, 0 = g + 5*z - 33. Does 21 divide g - -7 - 2\/((-4)\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7558115, -15116230, -22674345, -30232460, -37790575, -45348690?\nAnswer: -52906805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 4:05 PM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k = -7*k - 10*k + 174 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from nnonoinniooo?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7952 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 18836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 555 divided by 5.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1298?\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6271.776 litres?\nAnswer: 6271776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/10)\/(10\/(-25)). Suppose 1 = z - n. Let c(s) = s - 3. Let j be c(z). Put 1, 7, j in descending order.\nAnswer: 7, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3750373 is divided by 962.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -68*z + 24082*z**2 + 3*z**3 - 24082*z**2 as h*z**3 + y*z + q + a*z**2 and give y.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000145915 to 7 dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14009, -28024, -42039, -56054, -70069, -84084?\nAnswer: -98099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m**2 + 144*m + 941. What is k(78)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n. Let f(c) be the first derivative of -12 - 3*c**2 + 22*c**2 - 9*c**2 - 2*c**2. Calculate m(f(z)).\nAnswer: -48*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 200, 210, 234, 278, 348?\nAnswer: 450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -88, 2, 480, 10, -6.\nAnswer: -88, -6, 2, 10, 480","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**3 - 4*p**2 + 2*p + 2. Let n be u(2). Suppose -n*q + 3*q + 3 = 0. Calculate the remainder when q\/3*(50 - 23) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57370 is divided by 17201.\nAnswer: 5767","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 9 = 4. Let h(y) = -y + 2. Let f(n) = n - 2. Let q = 6 - 12. Let s(b) = q*f(b) - 5*h(b). What is s(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/172, 38115, 0.1, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 + -3)\/(2\/6). Suppose -z = -4*u - 30. Let g(f) = -f + 1. Let n be g(u). Calculate the highest common factor of 7 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 45*c**4\/4 - 2*c**3\/3 + 35*c**2\/2 + 2*c - 35. What is the second derivative of i(l) wrt l?\nAnswer: 270*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2013039 from 1162.\nAnswer: 2014201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 4*s - 176, 3*s - 4*b + 51 = 4*s. Let q(v) = -49*v - s*v + 101*v + 3. Determine q(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 203046455?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-9) - 19\/24. Which is the second smallest value? (a) q (b) 2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 140 = 812. Calculate the remainder when d is divided by (4 - (-27)\/(-2))*(2 - 8).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o - 25. Let n be (20\/(-12))\/5 - 1050\/63. What is d(n)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 48.026 and 10026424434.\nAnswer: 10026424482.026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 2*z - 12, 5*z = -p + 2 + 1. Suppose 0 = s, x - 2*s - 2*s = p. Let d be 1*6\/x + 4. Calculate the greatest common factor of d and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2491 != -2491?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 147*x**2 + 365*x**2 - 31*x + 14*x + 18*x to the form r*x + p + t*x**2 and give t.\nAnswer: 512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 866 = 38*r + 220 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 0 + (-1 - -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -8997744 not equal to -8997632?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5802.2 * -0.085.\nAnswer: 493.187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -39, -44, -51, -60, -71, -84?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g**2 + 6*g - 6. Let q be 42\/18 + -1 - 3\/9. Let z(j) = j**2 + j - 1. Determine q*b(n) - 5*z(n).\nAnswer: -8*n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -8*r**3 - 3. Is o(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19 and 7107.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (5 + -4 - -4)) + -4 + 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 13692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*z**3 - 2166965*z**2 + 59362*z + 182.\nAnswer: -24*z - 4333930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -640*l**2 - 1 + 1328*l**2 - 667*l**2. Let j(r) = 3*r. Calculate m(j(o)).\nAnswer: 189*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 + -8. Let n = l - -32. Find the second derivative of -60*y**2 - n*y + 12*y**3 + 60*y**2 wrt y.\nAnswer: 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + -1 - (-1 - -8). Let f(v) = v**2 + 2*v - 5. Let y be f(t). Let z = y + -1. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24614431 to the power of 1\/4, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-4 + sqrt(1584)*5 + (sqrt(1584) - (-3 + sqrt(1584) - sqrt(1584) - sqrt(1584)))*2 + 1))**2 + 1 + 5.\nAnswer: 2592*sqrt(11) + 513258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 + 33. Let p(v) = v**2 - v + 1. Let m(f) = 12*f**2 - 6*f + 6. Let l(r) = y*m(r) - 6*p(r). Let x(b) = -b**2. Give l(x(o)).\nAnswer: 6*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -3, -2\/9, -238\/141, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 909 = -316*s + 319*s. Calculate the remainder when s is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 677\/5 + -136. Let w be (0\/(-2))\/(0 - 1). Let b = -64 - -69. What is the biggest value in b, t, w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-162))\/((-66)\/39204*66)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 310, 325, 356, 409, 490?\nAnswer: 605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 74*p**2 + 3*p. Let m(t) = -5*t**3 + 306*t**2 - 13*t. Let i(o) = -6*m(o) - 26*y(o). Factor i(c).\nAnswer: 4*c**2*(c + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 93 - 120 = -m, 192 = m + 2*g. Solve -183 + m = 5*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4612, -4172, -3732, -3292, -2852?\n\"Answer: 440*z - 5052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -623810358*a**3 - 132616989*a wrt a.\nAnswer: -3742862148*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**2 + 1 - 1 + (3 + 0 - 1)*(2*a**2 - 2*a**2 + 2*a**2) + 2*a**2 + 4 - 4 + 4*a**2 - a**2 + 0*a**2 - 1 + a - 45588*a**2 + 45581*a**2 + a.\nAnswer: a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -133103300 - -201322?\nAnswer: -132301312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*w - 4*w + w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuyuyyaa. What is prob of picking 1 a and 2 y?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19737158908\/12773 + 1545225. Calculate the common denominator of p and 26\/11.\nAnswer: 140503","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-30)\/4*66\/(-9). What is the greatest common divisor of z and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11\/292 (b) 2\/7 (c) -1 (d) 2\/5 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9.036122 and 0.034576?\nAnswer: 9.070698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 206878?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/6 + 5*i**2\/6 - 6*i.\nAnswer: i*(i - 4)*(i + 9)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.12 - 1.88. Let x = -4 - m. Which is the third biggest value? (a) -5 (b) 2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 133 and 357.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 10. Let a be ((c - 0) + 4)\/(-2). Let o(s) = -10*s. Let t be o(a). Solve 3*n - 5 - 1 = 3*g, 4*n + t = -2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 6*m + 3*u + 12 = 0, -2*u = -m + 7. Let z(q) = 3*q**2 - 3*q - 4. Is 14 a factor of z(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**5\/2 - 31*b**4\/6 - 121*b**3\/6 - 217*b**2\/6 - 28*b - 6 = 0. Calculate b.\nAnswer: -3, -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 1604 = -d. Let a(i) = -16*i**2 - 4*i. Let t be a(4). Let y = d + t. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(1608\/1550) + -5. Let t = -9413\/2010 - p. What is the common denominator of -34\/15 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 306.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 8*h + 17. Calculate j(5).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 3*w + 12 = 0. Solve -4*p + 4 = -a - 3, w*a - 29 = -3*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 13*w**2. Let x(v) = 8*v. What is x(u(l))?\nAnswer: 104*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3178ab (base 13) to base 5.\nAnswer: 244044222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, n: 3, m: 2, y: 6, q: 1}. Give prob of sequence aqyy.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*m**2 + 5*m + 2*m**2 + 2*m**2 - 3*m**2 in the form b + r*m**2 + d*m and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111001011110 - 1100110010011?\nAnswer: -100011111110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 324443346 a multiple of 1835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 28 + 7 + 1 + -168 + 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**22\/p)**43)**(-1\/3) assuming p is positive.\nAnswer: p**(-301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -1. Let m(p) = 184*p + 189*p - 754*p + 189*p + 191*p. Let z be (-28)\/(-70) + (-56)\/(-10). Calculate z*r(w) - m(w).\nAnswer: w - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0905471 rounded to 3 decimal places?\nAnswer: -0.091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nbnqbniqqnqnnsn. What is prob of sequence nbq?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/3)\/((-3)\/(-6)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 252598.17 months in millennia?\nAnswer: 21.0498475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -8. Let p = z - 0.01. Let c be 2 - (-5)\/((-70)\/32). Which is smaller: p or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*o + 3230 = -2828 + 631 for o.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (20 + 31 - 54)*(2*o - 2*o - 2*o)*(-13 - 4 + 2) as x + s*o and give s.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 11:50 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 10. Let a(n) = -n**2 + 9*n - 10. What is the least common multiple of a(w) and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-6) - 0)*-2 + 5. Let k(v) = v**2 - 5*v + 9. Let z be k(y). Solve -3*i - u = -2*u - 3, z*i - u = 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -16 - 10 + 13 - 135*h. Is 25 a factor of m(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -4 (b) -0.5 (c) -0.04 (d) 3 (e) -5\/54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 406*f - 404*f + 8, -2*f = -6*m - 12 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide ((-9)\/(-2))\/(28\/2184)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -91353 - -162409. What are the prime factors of r?\nAnswer: 2, 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + w - 1. Let m be t(0). What is the common denominator of -53\/18 and (-4)\/m + 7067\/(-1628)?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3191*l + 31892. Determine y(10).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 j when two letters picked without replacement from ffjpxmbb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**7\/(y*y**6*y))\/(y**(-5)\/y**(-4)) assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38\/(-95) + (14\/(-4))\/((-45)\/18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 65716 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28839*y + 57654*y - 28817*y + 5607 to the form t + g*y and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**4 + 5*o**2 + 23*o - 23*o + (1 - 1 + 1)*(-2 + 6 - 1)*(35 + 17 - 4)*(-1 + 1 + o**4) as c*o**4 + l*o + y*o**3 + u*o**2 + k and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -4564 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 908 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a week in minutes?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 312 = -39*f + 43 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108694295?\nAnswer: 5, 251, 257, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1582861 not equal to 1582861?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 5*w**2 + 4*w - 6. Let n be i(3). Is n + 15 + (-1936)\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*o + 5302 = -8705. Does 122 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*j - 5*j - 128 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 105339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 451*l = 3*s + 448*l + 99, 2*l + 19 = s + 80 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -4*y - 4*y - 6*y**2 + 2 + 4*y**2 + 17*y. Let o be k(4). Sort o, 4\/5, 2\/9 in descending order.\nAnswer: o, 4\/5, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79803, 319135, 717995, 1276383, 1994299, 2871743?\nAnswer: 3908715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/4 + 553649*f**2\/4 - 19157743330*f - 57474475707.\nAnswer: -(f - 276826)**2*(f + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 13 = -y + 3*y, -11 = y - 3*n for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/4 of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1631, 1639, 1653, 1673, 1699?\nAnswer: 1731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 25231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -3*o - 1309, m + 841 = -2*o - 2*m. Let v = o + 1259. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -2*o**5 - 5188*o**4 - 5174*o**3 + 31116*o**2 = 0.\nAnswer: -2593, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a factor of 10427580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -325, -70, -5, 4, -4 in increasing order.\nAnswer: -325, -70, -5, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11752228?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -r, r - 2*z - 3 = -3*z for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 313\/7 equal to 46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*v + 5*o + 44, -34*o = 4*v - 38*o + 8 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4942501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-2\/29)\/b)\/b)\/b**(-1\/4))**(-1\/5)\/(b**(3\/2)*b*b**(-7))**(-4\/13) assuming b is positive.\nAnswer: b**(-7697\/7540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 16661, 33315, 49959, 66587, 83193, 99771, 116315?\n\"Answer: -s**3 + s**2 + 16658*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*((sqrt(147) - ((sqrt(147) + 3)*-3 - sqrt(147))) + sqrt(147)) + -5 + (sqrt(147) - 5*2*sqrt(147)) + sqrt(147))*4)**2*1.\nAnswer: 425600*sqrt(3) + 3436288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 221501, 221908, 222315, 222722, 223129?\n\"Answer: 407*t + 221094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5164 and 4182.7.\nAnswer: -21599462.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -78 from -4545.\nAnswer: -4467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s + 3. Let v(l) = 5 - l + 0*l - 8. Calculate 3*v(m) + 2*z(m).\nAnswer: -m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15.4 - -15. Let z(f) = -f**3 - 4*f**2 - 2*f + 3. Let a be z(-3). What is the nearest to a in -1, -0.3, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q = 15*q + 12 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 0 - (-5 + 1) - 5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.4 and 15?\nAnswer: 18.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 9*r + 3. Let o be (2 - (-7)\/(-3))*-15. Let t(v) = v**2 - 6*v - 4. Let x be t(o). What is the units digit of m(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*q**5 - 9*q**3 + 226*q**2 - 17*q - 13939 wrt q?\nAnswer: 180*q**3 - 54*q + 452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 7) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27153*w - 27151*w + 6 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22489951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-5 + 184\/36). Let s be (z\/(-21))\/(78\/42 - 2). Solve -4*c = -5*w + 7, -5*w = 5*c - s + 26 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, g: 1, x: 2, j: 1, k: 1, t: 2}. Give prob of picking 1 j, 1 e, and 1 k.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -144*k + 4691. What is the remainder when q(26) is divided by 49?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**2 - x**2 + 2*x**2 + (14*x**2 + 11*x - 11*x)*(4 - 2 - 3).\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 106 - 1?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by 41?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35 by -478.\nAnswer: 35\/478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 - 91 = 24*a + 128 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/7))**(-33)\/(v**5\/(v\/(v\/v**(2\/25)))) assuming v is positive.\nAnswer: v**(-2511\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101111100101011 (base 2) in base 11?\nAnswer: -39a18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-62)\/186)\/(2\/4))\/((-32)\/(-60)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 9 = d - 2*y, -3*d + 8 = 4*y for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 2. Suppose -4*a - 5*d = -37, -4*a = a - 4*d - 36. Solve -4*v + z*v = a for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 3, -6 in descending order.\nAnswer: 10, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 365, -214, -2 in ascending order.\nAnswer: -214, -2, 365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -2195650 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 1 (b) -1\/7 (c) -31 (d) 0.2 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2. Let k(m) be the third derivative of m**5\/10 + 3*m**2. What is d(k(c))?\nAnswer: -36*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-4) - 12425\/(-10). Suppose t - 4*f - w = -114, -f - 3365 = -3*t. Suppose -c = -4*k + t, 2*c + 1469 = 5*k + 70. Does 13 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1367489165.\nAnswer: 5, 7, 39071119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 + -0.23. Let z = -2.03 - o. Suppose -s - 10 = 5*x, -5*x + 21 = -x - 5*s. What is the closest to 2 in -3, z, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 521313 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 6*j - 36. Let h(c) = -3 - 3 - c + 4 + 7. Let u(l) = -l**2 - 9*l - 6. Let k be u(-8). Calculate k*o(g) + 15*h(g).\nAnswer: -3*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8632649 divided by -3?\nAnswer: -8632649\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 9*f**3 + 8*f**2 - 2*f + 1199. Let y(a) = 5*a**3 + 4*a**2 - a + 601. Let z(l) = 6*h(l) - 11*y(l). What is the hundreds digit of z(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1186 - -1189. What is the closest to 0.1 in u, -3, -8, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 7*z - 15. Let f(o) = 2*o - 5. Let q(p) = -3*f(p) + k(p). Let s(i) = 555*i**2. What is q(s(c))?\nAnswer: 555*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 21. Let u(t) = -5*t - 83. Let r(y) = -4*h(y) - u(y). Suppose -b + 12 = 3*b. Let a = 15 - 11. Let s(g) = -6*g + 2. Determine a*r(w) + b*s(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -17. What is the biggest value in 1, 0, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 3. Let n be ((-1)\/j)\/(-6 - 53\/(-8)). What is the nearest to 0.03 in 0.4, n, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-14)*665\/(-570).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, h: 7}. What is prob of sequence hh?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -155.611 rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**3\/3 - 3761*n**2\/3 - 26384*n\/3 + 10048 = 0. What is n?\nAnswer: -8, 1, 3768","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -0.4, -5288\/621, -3, 5, -2\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v\/(v*v**(2\/75)\/v)*v)\/v)*v**21)**(-24) assuming v is positive.\nAnswer: v**(-12616\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b**2 + 45*b**2 - 5*b**2)*(-26*b + 626 - 626).\nAnswer: -1170*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1735203 a multiple of 3179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - 5*d + 3*d)*(3*d + 0*d - 2*d) + 2*d**2 + 0*d**2 - 3*d**2 - 2*d**2 + d**2 - d**2 - d**2 - 4 + 4 - 1356*d**2 + 2674*d**2 - 1 - 1358*d**2 + 2*d.\nAnswer: -46*d**2 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -1*(19\/114 + 74\/(-12)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3*a = -27, -c + 4*c - 37 = 5*a. Suppose 4*j = 5*m + 10, c*m = -3*j + j + 18. Solve 0*g + 25 = 5*r - g, -28 = -m*r + 4*g for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 3*u - 3, -1 = u - 3. Let r(w) be the first derivative of 4 + 4 - 4 - w**i. Let c(y) = 2*y. Calculate c(r(m)).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14202 and 13758.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4*j - 210 = 0, -2*s - 5*j + 3*j = -84. Find the first derivative of -15 - 262*p + s + 21*p**3 + 262*p wrt p.\nAnswer: 63*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**3 - u**3 + u**3)*(9*u + 3*u + 5*u) + (2*u**2 + 0*u**2 + 0*u**2)*(-5 + u**2 + 5).\nAnswer: 36*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 4*n - 21. Let c(t) = -t**3 - 4*t**2 - 11*t - 1. Let v be c(-8). Suppose -v + 255 = 8*g. Let f(x) = -x + 4. Determine g*f(d) - 2*r(d).\nAnswer: -2*d**3 + 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129831 divided by -9987.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -76*o. Let v be a(-2). Let f = -47 + v. Suppose 17 = -2*y + f. Does 13 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.07, -52, 3, -0.4?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 444109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -5*y**2 - 9 - 6 - y**2 + y**3 + y + 12. Let t be b(6). Let q = -2 + t. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*d + 21. Let m = -4 - d. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a**4 + 9*a - 250?\nAnswer: 8*a**3 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1083666 and -5581471?\nAnswer: 4497805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-3\/4)*p))\/(p*p**(-6\/5))*(p**10\/p*p)\/(p**5*p) assuming p is positive.\nAnswer: p**(99\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2025c1 (base 15) in base 2?\nAnswer: 101110100110000010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.86196 to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.3, 3, -4, -1.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24876764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 794516 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/432)\/((-4602)\/1593).\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38335 and 31365.\nAnswer: 345015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 73384 and -9469.\nAnswer: -694873096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + b**2 - b + 7. Let j be a(0). Let o be 2\/j - 0\/(-2). Let v = 616323.028 - 616323. Sort v, o, -2\/3 in ascending order.\nAnswer: -2\/3, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3694754?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z. Suppose 0 = 5*t - 4*t - 4, 3*k - 1 = 2*t. Let c(q) = -3*q - 8. Let l(v) = -1. Let d(o) = k*c(o) - 24*l(o). Give s(d(j)).\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -231028*c**3*u**4 - 8012*c**3 - 2*c*u wrt u.\nAnswer: -2772336*c**3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-1*sqrt(288) - sqrt(2))*-1 + (1 + -3*sqrt(128))**2)*4*2.\nAnswer: -840*sqrt(2) + 27672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 22*d**2 + 2*d. Let w(c) be the third derivative of -c**5\/30 + 28*c**2. Calculate x(w(r)).\nAnswer: 88*r**4 - 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -307451, -307324, -307185, -307034?\n\"Answer: 6*v**2 + 109*v - 307566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/11, -4, -7 in descending order.\nAnswer: -7\/11, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 16*s + 80. Let r(k) = -10*k - 35. Let h be r(s). Solve -15 - h = -4*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.2 + 1.2. Let w be (3\/(-30))\/(2\/5). Which is the nearest to r? (a) w (b) 0.4 (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, i: 4, b: 5}. Give prob of sequence bb.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 814*n**4 + 464.\nAnswer: 3256*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 414497 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-48)\/16*(-4)\/(-126). Does d = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1333311213 (base 4) to base 13\nAnswer: 154449","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -1155*d - 339670. Determine c(-294).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 3*h**2 + 3. Let c be k(3). Let n = 12 + -4. Suppose -21*u + 26 = -n*u. Are c and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102, -91, -58, 9, 122, 293?\nAnswer: 534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 838 = 178. Suppose -4*h = -8*h + r. Let l = 0 + 3. What is the greatest common divisor of h and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/4)\/((-6)\/80). Suppose 0 = 2*i + w, 5*p + 2*i + 15 = 7*i. Let h = -4.07 + 0.07. Which is the third smallest value? (a) h (b) p (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 34182720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1461742?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(3 + (-18)\/8). Let w be (s - -28)*9\/(-6). Let q = -23 - w. Calculate the greatest common divisor of 13 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 20 = 2*w, -3*m = -5*w + 11. Suppose 0 = m*k - 29 - 55. Let o = 31 - k. Solve 3*h + h = -o*n - 29, 15 = -3*h for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 4, y: 3, w: 9}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.32? (a) -0.3 (b) 4 (c) -2\/99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-158)\/14 - (-42 + 6279\/147).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -79\/12, 261, 7.\nAnswer: -79\/12, 2, 5, 7, 261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.079 - 0.0739. What is k rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-4\/7)*t*t**(-2\/9)\/t assuming t is positive.\nAnswer: t**(13\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 705190.1 centuries?\nAnswer: 7051901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*v - 9*v - 4*v in the form t*v + b and give t.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.27 - -0.04. Let z = m + -0.31. Let w = 3284\/119 - 194\/7. Put w, z, 4 in increasing order.\nAnswer: w, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 4, 4*w - 5*r = 5 - 43. Let d = w - -16. Solve -2*l + 2 = q, q - d*q + 6 = -2*l for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + i**2. Let v be t(0). Let q(r) = r**2 - r + 4. Let u be q(v). Suppose 160 + 354 = 2*z + 4*l, -1002 = -u*z + 5*l. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-2135))\/((53\/(-159))\/(5*(-98)\/70))\nAnswer: 6\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 428 or 143?\nAnswer: 428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 14*o - 16. What is the remainder when 116 is divided by m(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 26?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16.97 - -17.37. Suppose -y - 4*y - 5 = 0. What is the fourth smallest value in 4, n, y, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -268 = -4*x + 164. Suppose -2*o + 39 + 13 = 4*j, -j = -5*o + x. Does 11 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*i + 31*i + 5*i = 26390. What is the smallest common multiple of 7 and i?\nAnswer: 2639","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.08 from 4542349.\nAnswer: 4542349.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - h**2. Let y be x(2). Suppose y*j = 2*o - 2, -3*j + 3 = 2*o + 1. Calculate the common denominator of o\/2 - 87\/30 and -55\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 3)\/((-4)\/6). Differentiate 0 + 0*o**p + 5*o**3 - 2 - 4*o**3 with respect to o.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 11:15 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 10) to base 3.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2685323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90 and 165?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/66*(-3)\/(12\/(-4))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*1\/(-2)*6*(-8)\/120.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3649 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3732436 > 3732375?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.8 - -0.54. Let f = q - -0.66. Let k = 3.5 - -0.5. Which is the nearest to 3? (a) -0.2 (b) k (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/17)*o*o**0)\/(o**3*o**(-11)*o))**(14\/9) assuming o is positive.\nAnswer: o**(644\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 202642 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 8:08 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 852091?\nAnswer: 17, 50123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 244 and 16850152?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in 2, 2\/3, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u**3 - 6*u**3 + 5*u**3)*(-u - 2*u + 2*u).\nAnswer: 7*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -116 + 164. Suppose -3*g + 36 = -2*f, -3*g + x = -0*f + 2*f. What is the remainder when 153 is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -15565*i**2 - 28*i. Let z(l) = 4046905*l**2 + 7273*l. Determine -1039*j(n) - 4*z(n).\nAnswer: -15585*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/38 and 37\/41662003.\nAnswer: 83324006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/3*l + 2 + 2\/3*l**2.\nAnswer: 2*(l - 3)*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 237 + -157. Let m = 175 - l. Does 19 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181784 is divided by 1082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 30*u**2 - 19*u - 80. List the prime factors of k(22).\nAnswer: 2, 3, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -q - 0*m + 8, 3*q + m - 4 = 0. Let f(w) = w**3 - 7*w**2 + w - 9. Let z be f(7). Put 5, z, q in descending order.\nAnswer: 5, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 0.2 (b) -0.017 (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.61405 millennia in centuries?\nAnswer: 96.1405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 7*d**2 - d. Let j(o) = 33*o**2 - 8*o - 1. Give -4*f(a) + j(a).\nAnswer: 5*a**2 - 4*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7522 - 7516. Calculate the greatest common divisor of 5466 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 + -19. Suppose s + b - 9 = 0. Solve -11 = 4*d + s for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 + 1004*k + 1002.\nAnswer: 2*(k + 1)*(k + 501)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-18) + (10657650\/54)\/5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -891460 divided by -3\nAnswer: 891460\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-11))**17)**(-11\/3) assuming q is positive.\nAnswer: q**(-748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3957433 is divided by 65957.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 413, -5, -3 in descending order.\nAnswer: 413, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31295 divided by -4.\nAnswer: -31295\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t. Let f(z) be the first derivative of 14*z**2 - 10*z + 134. Determine f(k(i)).\nAnswer: 28*i - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + h - 4*h - h - h + 4*h + (1 - 2 - 1)*(-1 + 1 - 2*h))*(4*h + 3*h**3 - 4*h)*(4*h - 3*h + 0*h).\nAnswer: 12*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/24, 306, 0.1, -2, 0, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lml when three letters picked without replacement from yzlyllzymjl?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 187 - 201. What is the thousands digit of 1355 - (-4 + r\/(-7))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 471\/2 - 40979\/174. Are -1 and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 106*w - 117*w + 86284. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*h - h. Let u = -2868 + 2928. Suppose h*n - 2*n = u. Sort -5, -3, -4, n.\nAnswer: -5, -4, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -538161210 rounded to the nearest one hundred thousand?\nAnswer: -538200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2035)\/(-999)*15\/125*-5?\nAnswer: -11\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2449 is divided by (-5*4\/(-10)*-2)\/((-28)\/70)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.4, 2, 1, -5\/3.\nAnswer: -5\/3, -1.4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3988.5 - -3988. Sort q, 0, 29, -1\/5 in descending order.\nAnswer: 29, 0, -1\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -c**4\/12 + c**3\/2 - 75*c**2\/2 + 135*c - 4. Differentiate u(w) with respect to w.\nAnswer: -2*w + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 10185*z**2. Let c(u) = 13*u**2. Give c(b(s)).\nAnswer: 1348544925*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6781*u**3 - 1399*u**3 + 2496 - 2496.\nAnswer: -8180*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 127 - 68. Suppose -155 = -4*o - z. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1022222 + 31?\nAnswer: -1022131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 443159236.\nAnswer: 2, 13, 655561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -26*o**2. Let p = 12 - 10. Let n(g) = -p*g + g - g. Calculate n(b(t)).\nAnswer: 52*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hpr when three letters picked without replacement from vupprrth.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/3, 0.08, 4\/3, 87, 44?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4\/5 + 13\/10. Let z = 0.2 + -0.4. Let r be (-5)\/40 - (5 + (-3269)\/616). What is the biggest value in r, w, z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 772 and 2982622?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 112014762 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 1\/2, 16 in decreasing order.\nAnswer: 16, 2, 1\/2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eabablbbetsbbbab. Give prob of picking 2 a, 1 s, and 1 e.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -61*r + 17373 + 36726 + 18186. Calculate the remainder when r is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131 = 29*l - 14. Let p(a) = 12*a + 14. Let n(o) = -4*o - 5. Determine l*p(f) + 14*n(f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, o: 5, u: 5, l: 2, z: 3}. Give prob of picking 2 u.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 40.4725 millennia?\nAnswer: 4047.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 + 98 = 5*q. Let c be (8\/(-24))\/(4\/196)*-3. Let t = q + c. List the prime factors of t.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63788, 63872, 63956, 64040, 64124, 64208?\nAnswer: 64292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of 1\/20*u**5 + 0*u + 0*u**4 - 1\/120*u**6 - 1\/3*u**3 + 75*u**2 + 0. Determine f(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q**2 + q**2 - 3*q**2 - 865*q**2 - 585 + 585 + (-3 + 4*q + 3)*(-q + 2 - 2) to the form p*q**2 + f*q + y and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -551*p**2 + 84*p - 4*p**3 + 8*p**3 + 552*p**2 to the form o + b*p + k*p**2 + l*p**3 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -60*j**2 - 72*j + 116. Let b(q) = 11*q**2 + 13*q - 21. Let h(k) = 28*b(k) + 5*i(k). Let z be h(-6). What are the prime factors of z\/10 - 2\/(-5)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -962031634427 plus 0.38?\nAnswer: -962031634426.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 x when two letters picked without replacement from uuuuububxbup?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 6950*a + 19 = -6948*a, 27 = 4*p + 3*a for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*y + 6 = 0. Put -0.1, 0, y in decreasing order.\nAnswer: 0, -0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8982022687453101.0000061 + -8982022211852293. Let t = n - 475600788. Let c = 20 - t. What is c rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 41*(1 - 0) + 1. Find the common denominator of (-4)\/(-14) + (-320)\/r and ((-56)\/15)\/((132\/30)\/11).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/18 + (-9555)\/(-945). Solve -3*h - i = -4*y + 2*y, 5*h - 5 = -y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -42\/65, -437, -3, 7 in ascending order.\nAnswer: -437, -4, -3, -42\/65, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2317472 + -1346?\nAnswer: 2316124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b - 8. Suppose -3*k + 8*k = 25. Suppose -5 = -3*c + 2*o + 38, -c + k*o = -36. What are the prime factors of s(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*b + 4519 = -10345 + 4084. Calculate the highest common factor of b and 378.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 1)*(-2 - 150*l + 2) + (-5 + 4 + 2)*(0*l - 6*l + 4*l) - 1 - 3*l + 1.\nAnswer: 145*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 1:44 PM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(425) - (-5 + (sqrt(51)\/sqrt(3))**2).\nAnswer: -9 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) 12 (c) -4.9 (d) 2\/7 (e) 2\/19 (f) 29\/16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-17)*b\/b**11)\/(b**(-3))**19)**(-44) assuming b is positive.\nAnswer: b**(-1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68*(-1)\/8 - (-2)\/(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 406 and 22346646?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(-1\/9)*o))\/(o**(-40)\/o))\/(o\/o**10)**(-44) assuming o is positive.\nAnswer: o**(-3194\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 910 is divided by 46.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 146*a**2. Let n(w) = -7*w - 16*w**2 + 7*w + 15*w**2. Give n(d(k)).\nAnswer: -21316*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 4. Suppose 3*x - 2*l + 4 = -0*x, -2*x = l - 2. Let n be p(x). Suppose 0 = -h - h + 16. Calculate the highest common factor of n and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 797\/3 - 265. Let s = -0.2 - -0.6. What is the nearest to l in 0.3, 5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 6705492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 14 - 95.456\nAnswer: -81.456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 90 = -5*n + 3*h, 4*h = 4*n - 76. Let b(d) = 2*d**2 - 29*d + 27. Let j be b(n). Suppose -j*y + 6*y = -336. Is y a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.5, 1\/3, 132, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**3 + 7*f**2 + 4*f + 2. Let t be x(5). Let c = t - -54. Suppose -4 = -3*j + 5. Put c, -5, j in decreasing order.\nAnswer: j, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3474?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/((-4)\/(-9) - (-22)\/(-36)). Let r(a) = a**2 - 18*a. Calculate r(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12609360 a multiple of 609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 7*d**2 - 3*d - 10. Let y be h(-7). Let p be 18\/(-12)*8\/3. Let n = y + p. Solve -4*k + 3*w = -17, 5*k = 4*k - 2*w + n for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -281 (base 13) in base 10?\nAnswer: -443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + o + 42, g + 22 = o + 34. Let z(u) = 2*u + 61. Calculate the remainder when g is divided by z(-29).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3545 divided by 1.\nAnswer: 3545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1999972 + 0.2. What is v rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 3*k - 269. Let h be q(19). Solve -10 = 5*r - h for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 7*f + 57 - 38 - 19 + 2*f. Suppose 0 = -3*i + 5 + 1. Let p(m) = i + m - 2. Determine g(p(r)).\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 7:21 PM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.97 - -4. Let y = -108 - 155. Let u = 263 + y. Which is the second smallest value? (a) i (b) 0.1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26934735 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*n + 9175 = 3*h, 4*n = -3*h + 9170. Suppose 10*u - h = 1082. List the prime factors of u.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -2*j - 2, -2884*j + 2882*j - 5 = 5*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 45231, 45228, 45225, 45222, 45219, 45216?\n\"Answer: -3*m + 45234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -14*n**2 - 4*n + 4. Let t(f) = 13*f**2 + 3*f - 3. Give -4*t(a) - 3*x(a).\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 37917846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 4:03 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2401.41 - -2398. Round t to one decimal place.\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40*n**2*z**6 - 8*n**2*z**4 - 41*n**2 + 4*n*z**2 wrt z.\nAnswer: 4800*n**2*z**3 - 192*n**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*v = 22*v + 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -16073*s**2 - 4085843*s + 4085843*s as u*s**2 + g*s + v and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -0.3, 4.6, -11.5 in increasing order.\nAnswer: -11.5, -0.5, -0.3, 4.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3 = 17. Suppose 0 = 8*f - r*f - 10600000. Round f to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - v - 11. Let c be n(-9). Let o(r) = -r + 8. Let g be o(6). Suppose -4*l = 5*t - c, 0*l - 44 = -g*l - 4*t. Does 8 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -188b514?\nAnswer: 188b519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212 = -2*k - 172. Suppose 3*v - 3 = 4*t, 3*v - t = -0*v + 12. Suppose 0*x - k = -v*x. Solve -2*u - 17 = -3*u + 5*r, -x*r - 12 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/14)\/((-2)\/(-14)). Suppose 0 = -r*w - 3 + 11. Let b be 4\/(-8)*w\/(-3). Is b greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(720))\/sqrt(12) + sqrt(60))\/(sqrt(36)\/(sqrt(3)*1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q**1)\/q*q*q)\/(q**8\/q))\/(q**(1\/4)\/((((q**0*q)\/q*q)\/q)\/q)))**(1\/4) assuming q is positive.\nAnswer: q**(-21\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*s - 4. Let c(d) = 0*d + 0*d - 5*d**2 - 5. Let w(y) be the first derivative of -y**3\/3 - y + 1598. Determine s*w(b) - c(b).\nAnswer: -b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(17) - (sqrt(17) + 3)) - sqrt(17))**2 - (-2 + sqrt(68)).\nAnswer: -14*sqrt(17) + 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2 plus 3983.3867988?\nAnswer: 3985.5867988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.86 - -0.4. Let n = x + 5.46. Which is the third smallest value? (a) 1.2 (b) n (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.2 + 255.\nAnswer: 258.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50 + -41. Calculate the highest common divisor of d and 144.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 1. Let t(j) = 2*j**2 - 16*j. Let m(b) = -5*f(b) - t(b). Solve m(a) = 0 for a.\nAnswer: -5, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eighteen fifths of a kilometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81310, -81311, -81312, -81313?\nAnswer: -81314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 35 = -2*s, -s - 5*j = 4 - 0. Let c = s - -22. Suppose -5*y = g - 94, c*g + 2*g - 92 = -4*y. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*r**2 + 50*r**2 - 42*r**2 - 75*r**2.\nAnswer: -96*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -16704 divided by 16?\nAnswer: -1044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**3 - 3*z**3 + 0*z**3)*(1270 - 266 + 121) - 3*z**3 + 0*z**3 + z**3.\nAnswer: -2252*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in -6, -2\/69, -2\/5?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 5*v**2 - 5*v + 48. Give z(5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.35 + 0.05. Let i = 43 + -45. What is the third smallest value in i, 0, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -119072*c**3 - 120048*c**2 - 978*c - 2 = 0. Calculate c.\nAnswer: -1, -1\/244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 403 - y**4 + y - 2*y**3 + 405 + 2*y**2 - 798 to n*y**3 + a*y + i + l*y**2 + w*y**4 and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -508 - -876. Calculate the greatest common factor of 16 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 2)*(3 - 3 + 2)*(-19*s - 5*s**5 + 19*s) + 39*s**5 + 15*s**2 - 15*s**2.\nAnswer: 29*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4*y + 10. Let i be m(4). Let k(a) = a**3 + 5*a**2 - 6*a + 7. What is the units digit of k(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 6:54 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 2*m + 1268. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**2. Let w(r) be the first derivative of r**2\/2 + 9. What is s(w(k))?\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzmzmuzhmupmmmmp. Give prob of sequence mzm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1551 and 825.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) -4 (b) 20.9 (c) 0.3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 7. Let h(q) = -q**2 + 6*q - 5. Let n be h(t). What is the units digit of n\/((-45)\/(-6))*10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 106613672 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1601268 and -317.9?\nAnswer: 1601585.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 7*x**2 + 42*x - 118. Let o be j(4). Let c(s) = s**2. Let d(w) = 20*w**2 - 1. What is o*d(u) - 22*c(u)?\nAnswer: 18*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1578, 5, 3344, -3 in descending order.\nAnswer: 3344, 5, -3, -1578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, p: 1, x: 3, l: 2, n: 6, m: 1}. What is prob of sequence ml?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2999 (b) 2.1 (c) -1\/4 (d) -1\/3 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1209, -3.4, -7 in decreasing order.\nAnswer: -3, -3.4, -7, -1209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -13*1 + 138 + -132\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 40315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*j = 15*j - 9*j - 28*j - 2160 for j.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 779 + -783. What is the tens digit of w\/(-12)*1059 + 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**3 - 2563 + 2*m**3 + 2602.\nAnswer: 2*m**3 + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -18*a**2. Calculate n(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005491388 rounded to 7 decimal places?\nAnswer: -0.0005491","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 14*a**2 - 20*a + 68. Determine b(-12).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77\/(-7) + -44 + 100.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(7\/5)\/x*x*x**(-3))**20*(x\/(x*x\/(((((x\/x**2)\/x)\/x)\/x)\/x)))**(2\/35)\/((x*x**(-1\/4)*x)\/x)**(1\/45) assuming x is positive.\nAnswer: x**(-13591\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10370 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -91494 divided by -15249?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -2*i + 13. Let r(x) = 20*x - 70. Let u be r(6). What is the greatest common factor of u and i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 277 - 168. Suppose -5*v + 2 = -13. Suppose -54 = -d - v*l, 5*d + 5*l - 369 + a = 0. What are the prime factors of d?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(260)\/((sqrt(5) + sqrt(5)*2 - sqrt(5)) + sqrt(5)))\/((-1*sqrt(28))\/sqrt(7)).\nAnswer: -sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 523, -11, -2\/15, -15 in increasing order.\nAnswer: -15, -11, -2\/15, 523","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26737451*g*y**6 - g*y**4 + 399527*g*y + 5*y**2 wrt y.\nAnswer: -3208494120*g*y**3 - 24*g*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13137 + 23305 + 2*t - 10170.\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9485 - 9482. Let l = 0.1 + -0.1. Sort w, -0.3, l in increasing order.\nAnswer: -0.3, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a kilometer in meters?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5*o - 9 = 0, 0 = -3*u + o + 25 - 4. List the prime factors of ((-386)\/u)\/((-5)\/15).\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 9*j**2 - 8 + 3*j + j**3 - 4*j + 0*j**2. Let p be s(-8). What is the highest common factor of 8 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/7)\/(y*y*y**6))\/(y\/(y\/y**(-3))*y**(1\/5)\/y) assuming y is positive.\nAnswer: y**(-137\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**2 - 3*a**2 + 2*a**2 + (-3 + 3 - a)*(a - 3*a + 3*a) + (-3*a**2 + 0*a**2 + 4*a**2)*(4 - 6 + 9).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2776656 divided by -57847.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 - 17. Let j = 32 + s. Suppose -5*n - 2*q + 83 = 0, -3*q = -n + q + 21. Calculate the remainder when j is divided by n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -6*c**3 - 4*c + 27. Let m(s) = s**2 - 8*s - 2381. Let n be m(-45). Let k(v) = -7*v**3 - 5*v + 28. Give n*k(a) - 5*i(a).\nAnswer: 2*a**3 - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.88 - 0.74. Let c = g + 0.06. Is c smaller than -0.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72064117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/366 and 2\/33.\nAnswer: 4026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 274.084 microseconds in seconds?\nAnswer: 0.000274084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005069711 rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*a**2 - 159*a**2 - 1 + 1 + 719*a**2.\nAnswer: 541*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -3*p - 51. Suppose -61*f = -2*z - 57*f + 2, -p*f - 19 = 2*z. What is the second biggest value in z, -1.7, -0.04?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/18*-3*-2.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -0.4, 3, 0.3, -628, 9, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -186*v**2 + 1440*v - 967. What is j(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -18*v - 4 + 3 - 5 + 3. Is d(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(66) + 2*sqrt(66)*2)\/sqrt(6).\nAnswer: -5 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 620 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 91.2 - 92.2. What is the nearest to h in -5, 0.054, 0.4?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3 - 685460*h**2 - 29367676800*h - 146821248000.\nAnswer: -4*(h + 5)*(h + 85680)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1363, -5639, -12765, -22741, -35567, -51243?\n\"Answer: -1425*w**2 - w + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 232*a**3 + 2804*a + 231*a**3 - 461*a**3.\nAnswer: 2*a**3 + 2804*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**3\/3 - 15112*j**2\/3 + 604203*j + 609240 = 0.\nAnswer: -15231, -1, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1329 - 116 - 233 = 490*q. Let j = 0 - -0.1. Let s = 0 - j. Which is the closest to q? (a) s (b) -2 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -f (base 16) to base 10.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 140, 276, 410, 542, 672, 800?\n\"Answer: -g**2 + 139*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 7:17 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -36*o + 1. Let s(n) = -249*n + 142. Let b(f) = -s(f) + 6*t(f). Calculate b(5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.31 - 12.409912213.\nAnswer: -13.719912213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -17*n - 10 - 242, 39*n - 7*p = 35*n - 6*p - 63 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3513811 - -6?\nAnswer: -3513804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11364*o + 7205?\nAnswer: 11364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 606, 17, 2, 1, -29 in decreasing order.\nAnswer: 606, 17, 2, 1, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 2 = -5*r. Let i(q) = q + q**2 + r + 3 - 3. What is the units digit of i(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 398 and 2528295?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -6*k**2 + 251*k - 2670. Give s(12).\nAnswer: -522","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5 + sqrt(539) + -2 + 3 + -1 + (3 + sqrt(539))**2.\nAnswer: 49*sqrt(11) + 553","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1094?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 129 + -125. What is the closest to 6 in -3, 2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 1704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -7*c**4 + 4*c**3 - 2*c**2 - 4*c + 3. Let s(h) = -8*h**4 + 4*h**3 - 2*h**2 - 4*h + 3. Let i(a) = -7*g(a) + 6*s(a). Determine j so that i(j) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 9:09 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**3 - 13*p**2 + 76*p + 485. Let c be n(-7). Factor -2\/3*w**3 - 4 - 22\/3*w - 4*w**c.\nAnswer: -2*(w + 1)*(w + 2)*(w + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 605 and 7986?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = 4*r - 2*r. Let g be r + (-3 + 0)\/3. Suppose 0 = 4*j + 4*z - g, -3*j + 14 = z - 5*z. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 14*t**3 - 2*t**2 + 2*t - 1. Let r = -1 - -2. What is the units digit of u(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 88.12 + -82. Let j = 6.1 - n. Let t = 0.165 - -0.035. Is t less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 192 + -185.915. Let g = -0.012 + j. Let n = -6 + g. Round n to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirteen fifths of a meter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**5 + 5*f**5 - 4*f**5 + 2*f**5 - f**5 - 2*f**5 + (-2*f**2 + 3*f**2 + 2*f**2)*(0*f**3 + f**3 - 3*f**3) + 3*f**3 + f**5 - 3*f**3.\nAnswer: -3*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -6, -3*h = -4*h - 4*q - 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3627763666?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 94303428\/13 < 7254109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, j: 4, l: 2}. Give prob of picking 2 j.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t + 8. Let a(v) = 7*v + 500. Give -a(d) - 6*w(d).\nAnswer: -d - 548","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 90*o - 73*o - 6696 - 6530. Is o a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 0*s**4 + 0*s + 1\/15*s**5 + 0*s**3 + 0 - 27*s**2. Let t(m) = -2*m**2. Give t(h(i)).\nAnswer: -32*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06626 rounded to 3 decimal places?\nAnswer: -0.066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11312406*i**3 + 7889494*i**2 wrt i.\nAnswer: -67874436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87069 is divided by 370?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -10*m**2. Let i(b) be the second derivative of -b**4\/6 + 3*b. What is h(i(w))?\nAnswer: -40*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 64158*w**2*y**3 + 2*w*y**3 - y**3 + 32*y**2 + 194*y wrt w?\nAnswer: 128316*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 23 (c) -77 (d) -45\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**3 - l**2 - 3188*l + 9631. Calculate p(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1080, 1052, 1012, 954, 872, 760?\nAnswer: 612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 843?\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -60a8 (base 12) to base 8.\nAnswer: -24400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rv when two letters picked without replacement from vwwwwlrwwrrl.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 104\/297?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 5)*((-2 - 2 + 5)*(2 + 1 - 5) + 3 - 2 + 0)*(4*j - 4*j + 2*j**2)*(-j**3 + 4 - 4).\nAnswer: -4*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**3\/(w\/(w*w*w**4)*w)*(w**(-1\/3)\/w)**31 assuming w is positive.\nAnswer: w**(-103\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -15, 4, 212, -2\/5, -0.8, -8.\nAnswer: -15, -8, -0.8, -2\/5, 3, 4, 212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13716 divided by 4572.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (50 - -1) - (57 - 105 - 39 - -77)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2960)\/888 - 5\/(-60)?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 36, 8142, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*p + 54 = 2*m, -58 = -3*m - 5*p. Calculate the remainder when 21 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-110)\/(-27) - (-675)\/810*((-48)\/(-15) - 8)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00093350364 rounded to six dps?\nAnswer: -0.000934","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 7*w**2 - 2*w - 3. Let b be k(6). Let u be 1\/((-9)\/b - 19\/(-28)). Solve -z + u*z - 6 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5408367*f - 32680*f**3 - 5408367*f.\nAnswer: -32680*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9931604, -9931642, -9931680, -9931718, -9931756, -9931794?\n\"Answer: -38*t - 9931566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -7*p**6\/40 + p**4\/24 + p**3\/6 + 2*p**2. What is the remainder when 82 is divided by j(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -3\/2, 1462 in decreasing order.\nAnswer: 1462, -3\/4, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**2. Let u(j) = 0*j**2 - 12*j + 9*j**2 + 9*j. Determine c(u(o)).\nAnswer: -162*o**4 + 108*o**3 - 18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2)*t*t\/(t*t**0)*t)\/(t**0)**31 assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/20 and (1 + 1)*(-123)\/(-96).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -372575, -372460, -372305, -372116, -371899, -371660, -371405, -371140?\nAnswer: -370871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/9816 and 55\/258488.\nAnswer: 775464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(891) + -5)*4)**2 - (4*(1 + sqrt(99) + sqrt(99)) + sqrt(99) + -4)**2.\nAnswer: 1440*sqrt(11) + 6637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38970 and 1165?\nAnswer: 9080010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-2*(2 + -3)). Is h\/(-6)*3*-4 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 12 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 148423 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 287\/82*4\/91.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(-3\/2))\/x*x\/x**(2\/3)*(x**(-2\/11))**(8\/5) assuming x is positive.\nAnswer: x**(-151\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -32080*n**2. Let d(y) = 2*y**2. Determine a(d(t)).\nAnswer: -128320*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*b**3*p**2*r + 21*b**3*p**2 - 2*b**3*r - 4*b**2*p**2*r - 9*b*r + 9*p*r wrt p?\nAnswer: 18*b**3*r + 42*b**3 - 8*b**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 589127 is divided by 182?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23505825 and 19425.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18639317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21004, -22012, -23020?\nAnswer: -24028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06399 rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 24*h. Let p(j) = -14*j**2. Determine r(p(g)).\nAnswer: -336*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0845 to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 75931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + x + 6. Let w be u(5). Let r = w - -9. Let g = 40.2 + -40. Which is the nearest to 0? (a) g (b) -3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 5*l**4\/4 - 4*l**3\/3 + 7*l**2\/2 + 4*l - 5. Let n be x(8). Is n\/10 + (-18)\/(-30) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 10) in base 14?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14502776549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/4050 and 29\/213950?\nAnswer: 17329950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -4. Suppose n*h - 4 - 8 = 0. Which is the smallest value? (a) h (b) 5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4741 + 1394 - 14*o + 20*o - 66*o**2 + 6*o**2 wrt o?\nAnswer: -120*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2240*p**3 + 398*p + 460 wrt p.\nAnswer: 13440*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2 + x + 5. Let s be c(-4). Suppose 2*z - 31*p + s*p = 946, 2*z - 954 = -4*p. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 157 + -75. What is the third derivative of -9*v**2 + 82 + 8*v**5 - p wrt v?\nAnswer: 480*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44 - -46. Suppose 0 = 4*o + 4*t + 27584, -h*t = -5*o - t - 34504. Round o to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -16196*m - 11126668. Calculate v(-687).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - x = -2, -2*x = -x. Let u(q) = q. Let m(t) = 2*t**2 - 4*t + 3. Let i(v) = -m(v) - u(v). Let o = -1 + 4. Let s(j) = -j. Calculate d*i(w) + o*s(w).\nAnswer: -2*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12064.\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/5*(-80)\/(-32). Let q be 8\/2*(1 - 0). Solve -5*g - 2*i = -25, n*g - q*i + 2*i = 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1820*b**3*c - 2*b*c + 58*b + c + 14 wrt b?\nAnswer: 10920*b*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (4*(-1 + sqrt(1100)) - ((sqrt(1100) + -2 + (4 + sqrt(1100) - sqrt(1100)))**2 - sqrt(1100) - sqrt(1100))))*-5.\nAnswer: -100*sqrt(11) + 5555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 7*j**2 - 7*j + 9. Determine i(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/24*-83 + (-4)\/(-12). Solve -61 = -h*s + 51 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -549*p + 585*p - 254088 = 0. What is the remainder when p is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x + 37 - 3*x + 57.\nAnswer: -x + 94","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.9, -2, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*o - 35. Let p(a) be the second derivative of -1\/10*a**5 + 2*a**2 + 1\/5*a**o + 1\/3*a**3 + 0 + a - 5\/6*a**4. Factor p(q).\nAnswer: 2*(q - 1)**2*(q + 1)*(3*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l - 3. Let j(d) be the first derivative of d**2\/2 + 3*d + 1. Suppose 2*h = -k + 2, 14 = -k - h + 3*h. Let s(m) = k*i(m) - 5*j(m). Determine s(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11424 rounded to 2 decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4999 = 3*h, 2*h - 4*h + 5*v + 3348 = 0. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/2 + 2)*-10. Let y(h) = -h**3 + 33*h**2 + 4*h - 62. What is the lowest common multiple of y(33) and (-1)\/2 + u\/(-2)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccvlcvggccclgg. Give prob of picking 1 c and 1 v.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + w - 4 = 0. Calculate the remainder when 51\/4 + w\/(-4) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*z + z + 10 = 0. Suppose 1 = 3*b - 4*b + 2*c, 0 = -2*b - 4*c - 10. Put 4, b, z in decreasing order.\nAnswer: z, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 10*a - 7. Let q be h(9). Let v be q + 7 - (0 - -2). Let f be (-2)\/(v\/(-2) - -1). Which is smaller: f or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46.07 - 7286.87.\nAnswer: -7332.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 0 - 246*i**3 + 6*i - 6*i.\nAnswer: -246*i**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/8*(-10)\/(-15). Let l = 171.22 + -170. Let n = -0.92 + l. Which is the nearest to s? (a) n (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 2*l**2 - l + 1. Let r(o) = -2*o**3 - 5*o**2 - 3*o + 3. Calculate 5*m(x) - 2*r(x).\nAnswer: -x**3 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jz when two letters picked without replacement from {c: 1, z: 2, j: 7, u: 2}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 6. Suppose -3*t + s = -1. Calculate the smallest common multiple of t and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -94.5 from 0.015.\nAnswer: 94.515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 95 and 1007?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3*sqrt(17)*3 - sqrt(17)) - (-5 + sqrt(68) + 5).\nAnswer: 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*q + 3*q, -5*q - 21 = -c. Let f(a) = -a**3 - 2*a**2 - 2*a + 1. Let p be f(-2). Let w = c - p. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*z**2 + 3*z**2 - 2*z**3)*(31*z + 3*z - 15*z) - 14*z**4 + 0*z**4 + z**4 in the form l*z + w + o*z**2 + x*z**3 + u*z**4 and give u.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51401 and 40.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 + u - 3. Let j be h(3). Let n = -358 + 477. Suppose -3*r + 192 = 3*t, 16*r - j*r = 5*t - n. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*r**5 - 231*r**3 + 2348*r - 4 wrt r?\nAnswer: -40*r**3 - 1386*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of 4029*j**2\/2 + 3412. Let a(t) = -2*t**2. What is a(v(q))?\nAnswer: -32465682*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2458521 a multiple of 1143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*i*p*y + 18864*i*p + 217065*p*y wrt i.\nAnswer: -3*p*y + 18864*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**3 + 8*n**2 - 6*n - 2. Let p be z(1). Solve -p*a - 2*m - 61 = -41, -4 = -2*a + 4*m for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -13*q + 28. Let z(s) = -29*s**3 - 2*s**2 + 1. Let m be z(-1). Suppose -q*r = t + 1 - 5, 2*t = 5*r - m. Solve 6 = -5*b + 4*g, g - r = -0*g for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29\/4 + 57\/8. Let j = 37 - 183\/5. Which is the second smallest value? (a) m (b) 6 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 9*l - 3. What is u(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 15*k + 13. What is i(-17)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*(-2)\/(-81)*11*(-12)\/(-88).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 180400, -125 in descending order.\nAnswer: 180400, -5, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4664 is divided by 77?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6806777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**3*b**1)\/(b*b\/b**2)**(-2\/83))**(-33) assuming b is positive.\nAnswer: b**(-132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**2 + o**2 + o**2 + (-o**2 - 5*o**2 + 5*o**2)*(11 - 39 - 29).\nAnswer: 59*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 f, and 1 e when three letters picked without replacement from {s: 6, f: 6, j: 1, e: 3, m: 1}.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -442*g + 5729. What is a(13)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*g, -2*t = 3*g + g - 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g + 4*g - 6*g)*(19 - 130 - 20)*(2 - 4 - 3) in the form z*g + y and give z.\nAnswer: -1965","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -217*t**2. Let r(y) = -25*y - 42. Determine r(i(k)).\nAnswer: 5425*k**2 - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/52)*n**(4\/5) assuming n is positive.\nAnswer: n**(213\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t + 10. Calculate y(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 256 + -39. What is the remainder when j is divided by 56?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(4\/4 - 1). Solve -3*a + 0*a - 5*s - 32 = i, 8 = a - 3*s for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -181*i - 1. Let h(z) be the second derivative of -z**4\/12 + z + 19. Give k(h(q)).\nAnswer: 181*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7499952 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 3.5. Let m be ((-3)\/(-24))\/(0 + 2\/(-172)). Let i = -11 - m. Which is the third biggest value? (a) i (b) -2\/23 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154598655.\nAnswer: 3, 5, 79, 283, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (12 + 52 - 33).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + -1)*(-7)\/(-1). Does 15 divide 107\/h + (-6)\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5011994 (base 10) to base 14.\nAnswer: 946758","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: Let t(d) be the third derivative of d**6\/120 - d**5\/12 - d**4\/12 + d**3 + 20*d**2. Determine t(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 25 + 69 + a**3 - 16 - 22 + a. Let i(m) = m - 4. Let h be i(4). Give g(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -r + 109, 528 = r + 4*r - 3*y. Let n = r + -51. Calculate the highest common divisor of n and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p*p\/(p**(2\/3)*p)*p*p*p)**(-2\/19)\/((p**(5\/2)*p*p)\/p**(3\/7)))\/(((p*p**(-2\/3))\/(p**7\/p))\/(p**(-2\/7)*p**6\/p*p)) assuming p is positive.\nAnswer: p**(1795\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2*r + 0)*(2 + 0 - 1) + 5*r - 23*r + 36*r + 36*r - 56*r - 53*r to u + q*r and give q.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 71 - 495 = 0. What is the common denominator of 43\/11 and 0 + y*3\/(-48)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -143, 396, 935, 1474, 2013, 2552?\nAnswer: 3091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -8*h**2 - 2*h + 2. Let s(m) be the second derivative of 11*m**4\/4 + 3*m**3\/2 - 9*m**2\/2 - 38*m. Calculate 9*r(w) + 2*s(w).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -1 + 11 + -11.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 49, 182, 401, 706?\n\"Answer: 43*s**2 + 4*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27494 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/70)\/(-1*(-1)\/(-7))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177*p + 84 - 64*p + 10*p.\nAnswer: 123*p + 84","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001652 to 4 dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -765903, 2, -4, 5, 12, -3, -5 in decreasing order.\nAnswer: 12, 5, 2, -3, -4, -5, -765903","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -94 and -25.04.\nAnswer: 2353.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -736 = -p + 5*t, 6*p + 1472 = 8*p + t. Calculate the highest common divisor of p and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19059?\nAnswer: 3, 6353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -5*v - 3 + 1 + 3*v. Is 5 a factor of a(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3344 + 218234?\nAnswer: 222578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 17 = w + 6*y, -2*w + 4*y = -14. Suppose -w*r = 5*o - 12*r - 34399999, -4*o + 4*r = -27519996. What is o rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -2 - -5 - -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6604.\nAnswer: 2, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 7:35 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x - 2. Let h be ((-2)\/(-3))\/((-22)\/(-165)). Let n be z(h). Let p be n\/5 - (-3)\/(-5). Solve 3*c - 6 = -p*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = k - 3*o, -3*k - 5*o = -232 - 72. List the prime factors of k.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -60*z - 6. Let y be p(-6). Is (15 + -16)\/((-2 - 0)\/y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/8)\/((-2)\/8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 70 + 42 - 6 + 34)*(2*c - 1 + 1).\nAnswer: 292*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 8 + 12*y - 3*y - 8*y. Let d be h(-4). Solve -6 = 2*p - w, -2 = -p - d*w + 13 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1011211 - -2?\nAnswer: 1011213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 4\/6)\/(5\/(-45)). Suppose 0 = 2*v - 0*r - 2*r + 6, -4*v = 5*r - 33. Differentiate 8*c**2 + h + c**2 - 5*c**v wrt c.\nAnswer: 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80, 163, 246?\nAnswer: 329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.08 (b) -381 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/81 and -61\/32175?\nAnswer: 289575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -6 + 3 - 2 + 0 - 5*v. Let a be c(-2). Find the third derivative of 3*r**4 - a*r**4 + 3*r**2 - 4*r**2 + 4*r**4 wrt r.\nAnswer: 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (139*c**2 - 139*c**2 + 143*c**3)*(2 - 1 + 9).\nAnswer: 1430*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 2:28 AM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-40)*(105 + -110).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42584597 to the nearest integer?\nAnswer: 6526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -2 (c) -172\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 654558139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t**2 - 165*t + 13. Calculate b(-55).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = -50149 - 32696. Let p = -258165 + b. What is p rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 383 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -0.0122 in descending order.\nAnswer: 5, 3, -0.0122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -128, -126, -124, -122, -120?\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18 or 17?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77 divided by 4.\nAnswer: 77\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*x**2 - 499076*x - 356490 = 0.\nAnswer: -5\/7, 35649","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1, 3\/230, 0.02, 5, 3\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1086 is divided by 267?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v - 240. Let k(n) = -6*n + 6. Let r(d) = 9*d - 12. Let j(u) = -2*k(u) - r(u). Determine q(j(i)).\nAnswer: -3*i - 240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k - 3*k - 3*k - k.\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**3*h**(3\/11))\/((h*h**(-5)*h*h)\/((h*h*h**2*h)\/h*h)) assuming h is positive.\nAnswer: h**(113\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3382.\nAnswer: 2, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*a + 17522 = -6862. Which is greater: -1018 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1075 in -6, -3, -25\/41?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (14 - (17 - (8 + -1))) - 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6611, 6613, 6615, 6617?\n\"Answer: 2*x + 6609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1455037 is divided by 579?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 515 (base 8) in base 11?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13606978, -27213959, -40820940, -54427921, -68034902, -81641883?\nAnswer: -95248864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 376, 1489, 3354, 5983, 9388?\n\"Answer: 2*x**3 + 364*x**2 + 7*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c + 510 = -11*c. List the prime factors of c.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8, -12, -8, 4, 24?\n\"Answer: 4*m**2 - 16*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*n + 18 = -33 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5*q = 197, -4*t + 75 + 177 = -4*q. Is t at least 55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/7)*l)\/(l\/l**3))\/(l**(-19)*l\/l**14*l) assuming l is positive.\nAnswer: l**(236\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 215, -1143, -3421, -6631, -10785, -15895, -21973, -29031?\n\"Answer: -2*y**3 - 448*y**2 + 665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 43*d - 39. What is the units digit of a(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56 (base 7) to base 8.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 - 6. Suppose -3*p = -v - 8. Calculate the lowest common multiple of p and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2636 is divided by 410?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -2454\nAnswer: 5\/2454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 940 is divided by 864?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vl when two letters picked without replacement from oeleoveoooolveoo?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2167812 and 112?\nAnswer: 60698736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 128589470?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -7*c + 26. Let p be (18\/c)\/(2\/1). Solve -p*a = -11 + 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4799491 and 9.\nAnswer: 43195419","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 330 (base 6) in base 5?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.74 * 0.4.\nAnswer: 4.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 669? (a) 2\/25 (b) -8 (c) 2\/3 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 4*h**2 + 4*h - 6. Let u be w(-5). Let a be (-4 - 0 - u) + 9. Let q(g) = -7*g - 6. Let s(c) = -c - 1. Determine a*s(y) - q(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47732 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x\/(x*x\/(x\/x**1)))\/x))**(-29)*x\/x**(-1\/3)*x\/((x*x*x*x**6*x)\/x))**6 assuming x is positive.\nAnswer: x**(-562)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 453\/(-43112) + (5 - (-174)\/(-34)). Let h = 1\/317 + l. Is 1 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5305 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -205 divided by -205\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -283.3062 - -136.3184. Let w = 284 - 137. Let y = w + k. What is y rounded to 3 decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -54 - 3623?\nAnswer: -3677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 divided by -16?\nAnswer: -35\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 3*u + 4*j = 0, -u = 2*j + 2. Factor 3\/2*z**2 - u*z + 1\/2.\nAnswer: (z - 1)*(3*z - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 8. Let v(w) = -w**3 - 3*w**2 - w - 1. List the prime factors of v(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 20*g - 3. Let z = 7 - 1. Let f be q(z). Suppose 4*k - f - 563 = 0. Round k to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0 - -1) + -2 - -4) + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qmqq when four letters picked without replacement from {m: 1, b: 6, h: 2, q: 3}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*y - 28*y + 200. Solve -5*j + 0 = -y for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -403 - 5?\nAnswer: -408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llfmfvffvvlflllllmll. What is prob of sequence vfvv?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1365 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -58, -28, 4, -25, -1, 7 in descending order.\nAnswer: 7, 4, 3, -1, -25, -28, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 31?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(5) - sqrt(30)\/sqrt(6)))*6 - ((sqrt(2025) + sqrt(25))\/sqrt(5) + -3))**2.\nAnswer: -660*sqrt(5) + 1589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 407.6 and 4.\nAnswer: 411.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 43*d - 3529. Give a(82).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -6. Which is the nearest to -2? (a) 2 (b) 1\/4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 522 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -1054*u + 1949. Calculate j(2).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t - 6. Let y(s) = 2*s - 2. Let q(n) = h(n) - 3*y(n). Let x(a) = -4*a + 10*a + a. Give x(q(b)).\nAnswer: -49*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138311?\nAnswer: 138311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of 0 + 0*h + 0*h**6 + 5\/6*h**3 + 0*h**4 - 1\/105*h**7 + 4*h**2 + 0*h**5. What is the derivative of n(s) wrt s?\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -519*w - 70740 = 791*w for w.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 + 14*t**2 + 80*t + 88.\nAnswer: -2*(t - 11)*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-3\/10))\/s*s**(16\/3)*s**0*s**(3\/28) assuming s is positive.\nAnswer: s**(2159\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a. Suppose -4 = -0*c + 4*c. What is p(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23 - -52115141?\nAnswer: 52115164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5184 + -11936.\nAnswer: -11936.5184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6513480, 6513479, 6513476, 6513471, 6513464, 6513455, 6513444?\nAnswer: 6513431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**3\/13 - 4780*p**2\/13 + 9566*p\/13 - 368 = 0. What is p?\nAnswer: -2392, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -2) + 89 + -96\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40292 + -47896359.\nAnswer: -47856067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1039.\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.18903 to 3 dps.\nAnswer: 0.189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 i when three letters picked without replacement from {i: 3, c: 8}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 4*x**3 - 11280*x**2 + 11268*x + 22552 = 0.\nAnswer: -1, 2, 2819","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from ksskkkkkkkkkkkkkkkk?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -16, 6, -15, -2341 in decreasing order.\nAnswer: 6, -5, -15, -16, -2341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -5*v**2. Let z(o) = -75491678*o**2. Determine z(c(l)).\nAnswer: -1887291950*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.108 - -5.958. Let k = -0.15 - y. Let z be (-34)\/4 - -4 - -4. Which is the closest to 3? (a) z (b) 0.2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 6, -3*m + 5*n + 32 = -5. What is the least common multiple of m and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1037312 and 9216.\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, a: 2}. Give prob of sequence nn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(81\/84)*135\/(-6). Calculate the greatest common divisor of 21 and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66484 is divided by 989?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*o + 15*o + 251 + 28*o)*(-o**2 + 2*o**3 + o**2).\nAnswer: 4*o**4 + 502*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -4*o + 19, 20*o - 17*o - 13 = -2*j for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -0.268\nAnswer: 0.268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 12*o**2 + 12*o - 11. What is the smallest common multiple of f(-13) and 143?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 32*t - 125. Calculate z(-27).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110396910.\nAnswer: 2, 3, 5, 13, 29, 43, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1208 a factor of 3337704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -1\/12*n**6 + 0*n**2 + 0*n**5 + 1\/8*n**4 + 0*n + 0*n**3 - 4. Suppose u(b) = 0. What is b?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2\/13, 8, 4, -6 in descending order.\nAnswer: 8, 4, 2\/13, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) -4.7 (b) 1.1 (c) -2\/13 (d) -3 (e) -76\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -96*t - 462 + 2478 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*(-1 + (-5)\/(-15)). Let p be j\/(-7)*(-21)\/3. Solve -p*w + 20 = 2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r*r**(2\/7))\/r))\/(r**(-2\/15)*r) assuming r is positive.\nAnswer: r**(-16\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -120 or 140?\nAnswer: -120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 85 - 139. Which is smaller: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3110, 3104, 3094, 3080?\nAnswer: 3062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n - 83. Let h(s) = 6*s**2 + 7*s. Let i(j) = -j**2 - j. Let d(b) = -h(b) - 7*i(b). What is o(d(w))?\nAnswer: -2*w**2 - 83","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.74 + 8.26. What is the biggest value in -1\/5, t, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -97 + 97.95. What is x rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (285\/(-1425))\/(0 + 1)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5693365 is divided by 948866?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q**3 + 3*q. Calculate x(-3).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 5 = 20 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**3 + 6*u**2 - u - 5. Let f be m(-4). Let n = 53 + f. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*p - 7*p - 1. Let n(j) = -17*j**2. Let z(d) = -60*d**2. Let l(m) = -18*n(m) + 5*z(m). What is the units digit of l(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4\/35 - -27\/70. Let n = 31 - 30.8. Which is the nearest to -1\/4? (a) 2 (b) n (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 4:33 AM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u - 6. Give j(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 76395723731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.4 and 2960.972?\nAnswer: 2959.572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1*v*v)**(-1)\/((v*v*v\/(v**(2\/5)\/v))\/v*(v**(1\/2)\/v)\/v*v))\/((v**3*v**(-1\/3)*v)\/((v\/((v**(-2\/3)\/v)\/v))\/v)**(-4\/7)) assuming v is positive.\nAnswer: v**(-2161\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 4:28 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -350 + -25?\nAnswer: -415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + -4229785486\nAnswer: -4229785486.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 2*a + 4*a)*(a**2 - 2*a**2 + 3*a**2) + (-2 + 16 - 1)*(0*a**3 + 2*a**3 - 3*a**3) - a**3 - 4 - 6*a**3 + 10*a**3 - a**3 - 11*a**2 + 11*a**2.\nAnswer: -7*a**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 9:37 PM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -f**6\/120 + f**5\/30 - f**4\/12 - f**3\/6 + 18*f**2. Let m be w(3). Let l be 3 + 492\/80 + 12\/m. Is l < 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 537\/12 + (-4)\/(-16). What is the highest common factor of l and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22129 less than 22120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14679.\nAnswer: 3, 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 - 1 = -5*u + 2*r, 0 = -u + 4*r + 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3*(sqrt(363) + 1)**2 - -4*(0 + sqrt(363))).\nAnswer: 44*sqrt(3) + 2184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 250 + -6?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 7*w = 3*c, 5*w + 10 = -5*c. Let l = -4 - c. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a millisecond in microseconds?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, p: 2, c: 4, t: 1, k: 2, n: 1}. Give prob of sequence pkp.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54*t**5 + 499*t**2 wrt t.\nAnswer: -3240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 5434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y - 5 + 9*y + 55*y**2 - 3*y**3 - 21*y**2 + 9*y - 29*y**2 to the form d*y**3 + s*y + p*y**2 + t and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 - 3*x**2 + 6*x**2 - 13325 - x**2 - 9944.\nAnswer: 3*x**2 - 23269","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 340*k + 4*d = -341*k + 678*k + 21 - 2, -2 = 3*k + d for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 86298175697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = r - 408. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 6. Suppose -4*j = -4 - m. Suppose -9*u + 6*u - 4*i = -68, -5*u + 4*i = -92. Solve c = 3*x - 5, j*c - 3*x - u = -7*x for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - h + 3*h - 3*h - 2*h - 1 - 2*h + 1 + 5*h - 4*h - 3*h + (3 - 4*h - 3)*(5 + 1 - 4))*(0 - 4 + 2).\nAnswer: 30*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5120 divided by -256.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d**2 + 23*d + 16. Give a(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 467 is divided by 70?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6096774 > 6096804?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 27*v**3\/5 + 11*v**2 - 78*v\/5 = 0.\nAnswer: -3, 0, 26\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 40 = 4*s, 4 - 9 = -5*s - 4*i. Are 3 and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -3*l**3\/2 - 17*l**2\/2 + 504*l. Let a(p) = 4*p**2. Calculate a(m(n)).\nAnswer: 324*n**2 + 1224*n + 1156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2.038192 - 2\nAnswer: -4.038192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 31180*a**4*w**2 - 11*a**2*w**3 - 6851525*w**3 wrt a?\nAnswer: 124720*a**3*w**2 - 22*a*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27\/22 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 83264 and 17872?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -0.3, -0.6, -4, -2, 7.6.\nAnswer: -4, -2, -0.6, -0.3, 7.6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*l - 960 + 480 + 480 - 42*l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2487, -5162, -9425, -15282, -22739, -31802?\nAnswer: -42477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/1 - 1)\/((-17568)\/2928)*-114.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*29576295.\nAnswer: 59152590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 34*n - 243. Let l be s(12). Suppose -19*z + 4*k = -l*z - 16, z + 3*k + 13 = 0. What is the biggest value in z, 0, -2\/53, -1\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 126 - 123. Let p(d) be the first derivative of 0*d + 1\/9*d**s + 1\/3*d**2 + 1. Factor p(o).\nAnswer: o*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 37056, 73599, 110142, 146685, 183228, 219771?\n\"Answer: 36543*k + 513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1867*s**2 - 12*s + 3*s + 1868*s**2 - 2*s**3 in the form t + g*s**2 + o*s + a*s**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2379116 and 100300.\nAnswer: 59477900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 8 - 29 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 2*i = 0, 36*n + 25 = 32*n - i for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20081*g + 505828 + 898553 - 312915 + 274042 = 0 for g.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11033 (base 5) to base 8.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 597.2218ns?\nAnswer: 0.5972218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -23 - -12610?\nAnswer: 12598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 184817 - 1293721\/7. Let u = 4 + -3.9. Let q = u - -0.3. What is the third smallest value in o, -0.02, -3, q?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 304386 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -827855 (base 9) to base 4\nAnswer: -1313330303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - -2. Let r = p - 5. Suppose -4*m + w = -53, 4*m - m = -r*w + 26. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 8, l: 6, u: 1, h: 3}. What is prob of picking 3 p and 1 u?\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 287217*y**3 - 776*y**2 + 776. Let h(i) = -1853*i**3 + 5*i**2 - 5. Give -776*h(p) - 5*z(p).\nAnswer: 1843*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f - 3*f + 0*f. Let d(a) be the second derivative of 4\/3*a**3 + 0*a**2 + 17*a + 0. What is d(h(l))?\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1037*q - 2086*q - 480 = -1033*q for q.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -357234 (base 8) to base 2.\nAnswer: -11101111010011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 103, 4, 3\/7, -2\/7, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4543107 to the nearest integer?\nAnswer: 2131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ipopxxx. Give prob of picking 1 p and 1 x.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 - 37. Let y(f) = -f**3 - 3*f**2 - 4*f + 3. What are the prime factors of y(h)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -72 at least -80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 932 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: Calculate 162\/(-18)*(-5)\/(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24693660 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3734 = o - 5*i, -o + i = 4*i - 3742. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -520 * -40.27.\nAnswer: 20940.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - 1012\/(-18) - (-74)\/(-333). Suppose -5*u + o = -5*i, -4*i + 12 = -3*u + 6*u. What is the closest to u in 0.1, 0, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.5, 3\/4, 5, 7\/18, 53, -56?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -256.56 + 245. Let t = -12 - m. Let v = 0.14 + t. Which is the closest to 2? (a) v (b) 1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 - (-13 + -2 + -3 + -24 + 38)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 3*n - 11, 3*f + 4*n - 21 = n. Suppose 208*d = 225*d - 68. What is the smallest common multiple of d and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**2 + 2*z**2 - 2*z**2 + (4*z + 2*z - 5*z)*(-6*z - 9*z + z).\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2490746458?\nAnswer: 2, 3779, 329551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8057 + 8057. What is the nearest to 2 in o, -2\/5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 256752 + -256763.0343. Round c to 1 decimal place.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 6498*p + 219826. Give a(-34).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -6 - 6\/7*h**2 - 1\/7*h**3 - 9\/7*h. Factor a(b).\nAnswer: -3*(b + 1)*(b + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9940 divided by 140\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express j**3 + 4*j**2 - 3*j**3 + 15*j - 23*j + 6*j + j**3 + 65*j**4 as u*j**4 + q + v*j + t*j**2 + n*j**3 and give u.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of v**3\/5 + 9*v**2\/5 + 27*v\/5 - 41. Solve n(x) = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -7*y**3 - 4*y + 8. Let m(n) = -20*n**3 - 11*n + 24. Let v(w) = 34*w - 4499. Let j be v(132). Calculate j*q(t) + 4*m(t).\nAnswer: -3*t**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -192695 (b) -1\/5 (c) 0 (d) 2 (e) 1\/2 (f) -3 (g) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -347*g + 1071 = -354*g. What is the hundreds digit of -5 + 4 - 6 - g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7776*l + 3780 = -7596*l for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 36*l + 20. Let p(h) = -11*h - 22. Let d be p(-4). What is the remainder when m(d) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44931*u + 89217*u - 44300*u.\nAnswer: -14*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 69414842 less than -1110?\nAnswer: -69415952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11010100010001110001010 (base 2) in base 9?\nAnswer: 14071643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*d = -37*d + 8397. Is 19 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -20*n**2 + 236*n + 16. Let w(c) = 4*c**2 - 47*c - 3. Give 3*r(q) + 16*w(q).\nAnswer: 4*q**2 - 44*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1630190 to the nearest one hundred thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 6. Is c < -3\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36668632 divided by -728\nAnswer: -50369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 4. Let c(s) = -8*s**2 - 28. Let d(q) = -2*c(q) - 14*z(q). Let f(a) = a + 258. Calculate f(d(j)).\nAnswer: 2*j**2 + 258","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 20285, 4 in ascending order.\nAnswer: 4, 5, 20285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/261*-3 + (-10189179026)\/(-377). Round a to the nearest one million.\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1446*c**3 - 8*c**2 - 7960 wrt c?\nAnswer: -4338*c**2 - 16*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199488?\nAnswer: 2, 3, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -108 + 67. Let o = 735.3034 + -776.3. Let f = o - k. What is f rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 2 + 2)*(-1 + 60*t + 80*t - 156*t + (4*t - 4*t + t)*(0 + 2 - 4)) in the form s*t + g and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, y: 2}. What is prob of picking 2 y?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101322132 + -220?\nAnswer: -101323012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-6) - (0 + -1). Let j = 0.04 - -1.96. Let p be ((-4)\/(-22) + 0)\/(-1). What is the nearest to d in j, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 10*y**2 + 9*y + 8. Let v be l(-8). Suppose -7*o = 15 - v. Suppose o = 3*f - 2. Solve -6 = a - f*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5847 is divided by 523?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8, -17, -26, -35, -44?\n\"Answer: -9*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 292757200 to the nearest one million.\nAnswer: 293000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 2 = 0, 26*q - 11 = r + 31*q for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -898 - -329. Let g = -43812\/77 - f. Which is greater: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -4553*q**4 - 75018*q**3\/7 - 54531*q**2\/7 - 11492*q\/7 - 108\/7 = 0.\nAnswer: -1, -54\/157, -2\/203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.82778 to two decimal places.\nAnswer: 1.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1244141134300 + -4?\nAnswer: 1244141134241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*j + 24 - 90*j + 16*j + 25*j + 31*j.\nAnswer: 7*j + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -164.01 - -164. Let q = -0.4 - -3.4. Which is the second biggest value? (a) -1\/2 (b) k (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 200701356 to the nearest integer?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2119)\/(-78) + -27 + 0 + (-452)\/(-24)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175.55 rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9363834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 182*b - 159?\nAnswer: 182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -219, -2, 4, 7, 19 in descending order.\nAnswer: 19, 7, 4, 2, -2, -3, -219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 229910302 + 3.\nAnswer: 229910305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6\/1111247 - -39015882056\/21113693. Let m = 1845 - c. Let l = m + 3. Put 3, 1, l in decreasing order.\nAnswer: 3, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 958.51\nAnswer: -3834.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 e when three letters picked without replacement from zztzzzzzalzlezzzzazz?\nAnswer: 91\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0638 + 637943.\nAnswer: 637942.9362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = u - 14. Suppose -3*r + 4*r = u. What is the units digit of 2*r\/(-4)*-1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5465579 to the power of 1\/2, to the nearest integer?\nAnswer: 2338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 767 - 768. Does 12\/79 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 2*d**2 - 2. Let h(n) = -7*n**2 - 5*n - 2. Let i(g) = 4*g**2 + 3*g + 1. Let m(u) = -3*h(u) - 5*i(u). Calculate l(x) + 2*m(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1572*v = 1567*v + 7 + 3. Put 8, 1, v, -58 in descending order.\nAnswer: 8, v, 1, -58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13802.\nAnswer: 2, 67, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 11*d**2 - 19*d + 4. Give x(-13).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j + 2 - 2)*(j**2 - 4 + 4) - 2*j - j**3 + 2*j - 24*j**2 + 24*j**2 - 43*j**3 to the form k*j**3 + x + c*j + t*j**2 and give k.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-5 - -10) + -6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) 3\/4 (c) -0.3 (d) 11 (e) 2\/17 (f) 0.4 (g) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 + 3850*m - 3705625.\nAnswer: -(m - 1925)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4997, 4992, 4987, 4982?\n\"Answer: -5*a + 5002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*r = -5, 5*j - 2*r - 11 = 4. Suppose -4*s = 4*m, -6*s = -j*m - s - 10. Sort -5, m, 51, 1 in increasing order.\nAnswer: -5, m, 1, 51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/((-3)\/6*4). Let d be (2 - g) + (3 - -12). Solve -v + d = 3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*t**2 + 3*t**3 + t**2 + 4*t**4 - 6*t**2 - t as q*t**3 + r + s*t**4 + f*t**2 + w*t and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 66*h**2 - 4*h - 1. Let t = -18 + 17. Let l be a(t). Let r = -73 + l. Let f(u) = u**3 + 3*u**2 - 3*u - 3. What is f(r)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4 + 3*r + 2*r - 3*r. Let p be (10\/8)\/5 + (-294)\/56. What is l(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q**2 + 20*q + 6. Let l(z) = z + 2. Calculate 3*l(k) - m(k).\nAnswer: -4*k**2 - 17*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of 0 - 1\/30*r**3 + 0*r**4 + 1\/300*r**5 + 0*r + 16*r**2. Suppose a(u) = 0. What is u?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3695?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 775653?\nAnswer: 3, 258551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 44. Let a(f) = -f - 125. Let b(w) = -a(w) - 3*l(w). Give b(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 38336 = 4*b - b. What are the prime factors of b?\nAnswer: 2, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of 17*u**5\/4 - 79*u**4\/12 + 3*u - 11. Find the third derivative of a(t) wrt t.\nAnswer: 510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/(-132) + (-8433)\/(-99). Solve -40 = -9*j - l for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9708 or 45?\nAnswer: 9708","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41186?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240167003.\nAnswer: 109, 2203367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 2*d + 32. Let g be r(7). Which is the nearest to -1\/3? (a) g (b) 85 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*f + 1536 = 22*f. Let i be ((-6)\/(-28))\/(f\/336). Suppose -4*k + 2*y = 54, 3*k = 4*y - 0*y - 43. What is the third smallest value in i, -1\/5, k?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 105 + 101 + 295*o**2 + 106 - 312 to the form y + f*o + a*o**2 and give a.\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -18, 2, -8, -6, -19, 8 in increasing order.\nAnswer: -20, -19, -18, -8, -6, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -1987 (c) 2 (d) 195\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: 1\/9*(-71)\/(2982\/(-324))\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 145 and 25738660.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1642 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -242.7822 to 0 decimal places.\nAnswer: -243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -p - 638760. Let t = p + 1060338\/5. Let r = 857 + t. Calculate the common denominator of -5\/9 and r.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1047 and 46612091.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7049, 7711, 8813, 10355, 12337, 14759, 17621?\n\"Answer: 220*v**2 + 2*v + 6827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/2)*m**(-6)*m**(-2\/3)*m*m**(-2\/13)*(m**(-2\/7)\/(m**(-3\/7)\/m))**36 assuming m is positive.\nAnswer: m**(19559\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**3 - 264*a**2 - 5195*a - 517. What is j(-108)?\nAnswer: 671","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -188550 divided by -6?\nAnswer: 31425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -24\/5, 24, -1 in ascending order.\nAnswer: -24\/5, -4, -1, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*j**4 - 699*j - 696*j - j**3 + 1393*j + (-4 + 2 + 1)*(2*j**4 + j**3 - j**3) - j**4 + 2*j - 2*j to w*j**2 + z*j**4 + y + r*j**3 + m*j and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 7*f + 20. Give m(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20027 is divided by 1994.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2*v**3\/3 + 224*v**2\/3 + 442*v\/3 + 220\/3 = 0.\nAnswer: -110, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3696 = 39*g - 11*g. What is the highest common factor of g and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 749 times -0.5?\nAnswer: -374.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308708.\nAnswer: 2, 71, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.4, 0.3, 0.32 in descending order.\nAnswer: 0.5, 0.32, 0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573)*2)**2*-6.\nAnswer: -37752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (221\/(-357) - 18\/(-63)) + 46\/3. Calculate the highest common divisor of u and 41760.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/19 - 2445400*v\/19 - 747497645000\/19.\nAnswer: -2*(v + 611350)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3756908 and 3990.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001643886 to 5 decimal places.\nAnswer: 0.00164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*h**3 - 48*h**2 + 75*h**3 - 90*h**3 + 46*h**2.\nAnswer: 48*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, -0.4, 31.26, -1\/5, 16?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6681.929 grams?\nAnswer: 6.681929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111 (base 2) to base 6.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50902 and 1630506.\nAnswer: 1642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/(-24)*1\/(-3). What is the second biggest value in 0.1, v, 0.251?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-12)*8 - -63. Suppose 0 = 3*q - 9, -2*q - 8 = 3*j - d. What is the remainder when 130 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30410 - -233342?\nAnswer: 202432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1674449\/90 + -37205\/2. Let v = -17\/9 + h. Which is the nearest to 1\/4? (a) v (b) -1\/7 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1314 by -632.\nAnswer: 657\/316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -106018, -211605, -317192, -422779?\n\"Answer: -105587*n - 431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00168937 rounded to 5 dps?\nAnswer: 0.00169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -26*(-6)\/16*8. Let v be (-1 + (-9)\/(-6))*o. Suppose 4*r + 3*s = v, -2*r + 2*s - 4*s + 22 = 0. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 18*i**2 + 24*i - 27. What is the units digit of y(19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27181 + 27176. What is the second smallest value in 1\/438, 6, x?\nAnswer: 1\/438","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4411943.\nAnswer: 1033, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16 + -534?\nAnswer: -550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 40*y**3 + 863*y**2 - 1260*y + 10. Let x(r) = -21*r**3 - 432*r**2 + 630*r - 6. Let q(n) = -3*t(n) - 5*x(n). What is o in q(o) = 0?\nAnswer: -30, 0, 7\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -0.03232 (c) 1\/2 (d) 0.3 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - -1)*12\/4. Suppose -3*b - t = -4*b. Is b - -1 - (-6 + 4) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 10852.\nAnswer: 5426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 13 - 6*a + 4*a - 24*a - 22*a. Let y be b(9). Let k = -198 - y. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101\/(-10) - (-35 - -41) - -16\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, j: 7}. What is prob of picking 1 j and 3 s?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -749585 divided by 985?\nAnswer: -761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*g + 32*g = -98. Let l = 14 + g. Let r = l + -59. Solve r*i = -0*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2309078\/561 + 4116. Let i = 1148\/7293 + g. Put i, 8, 0.1 in descending order.\nAnswer: 8, i, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25.0722 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 676 + -649. Calculate the least common multiple of 36 and f.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -188 + -66672?\nAnswer: -66871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 173009903 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mv when two letters picked without replacement from {m: 9, f: 1, v: 3, k: 3, i: 2, d: 2}.\nAnswer: 27\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kmktknnnkknnnn. Give prob of picking 2 m and 1 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24141, -48006, -71871, -95736, -119601, -143466?\nAnswer: -167331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 3 = -u, -94*u + 93*u + 3 = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 1. Let u(q) be the first derivative of q - 5*q**3 + 5 - 8*q**2 + 4 + 6. Let v(z) = -i(z) - u(z). What is the second derivative of v(l) wrt l?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2. Let x(a) = 5*a. Let n(r) = 2*r. Let l(j) = j. Let f(v) = -3*l(v) + 2*n(v). Let b(q) = -35*f(q) + 6*x(q). Determine b(y(k)).\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*f - 94*f + 14*f)*(14*f + 26 - 3*f - 14 - 10).\nAnswer: -792*f**2 - 144*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 1\/247?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13246?\nAnswer: 2, 37, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -52*p**2 + 6 + 52*p**2 - p**5 + (1 - 1 + p)*(-p**4 - p**4 + 15*p**4) + (2*p - 2 + 2)*(p**2 - 2*p**4 - p**2) - 7*p**3 - 2*p**5 + 7*p**3.\nAnswer: 6*p**5 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 286920.924 to the nearest 100.\nAnswer: 286900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8714663 + 1320044 = 483*i - 13463726. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11432001 (base 5) to base 8\nAnswer: 323530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**25)**(2\/51) assuming m is positive.\nAnswer: m**(50\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 6 + 10. Suppose -4*q = -f*v + 21*v - 39, 5*v + 3*q - 38 = 0. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -74607\/28 + 18720\/7. Find the common denominator of 69\/140 and h.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30544074 or 30544075?\nAnswer: 30544074","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7355.\nAnswer: 5, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fxx when three letters picked without replacement from {o: 1, f: 7, x: 3, q: 5, p: 2}.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 92534.72ng in grams?\nAnswer: 0.00009253472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*b = b - 23 + 581 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 779*d**2 - 143830 + 143830. Let o(k) = -k**2. Give b(o(u)).\nAnswer: 779*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -17242678, -34485413, -51728148, -68970883, -86213618?\n\"Answer: -17242735*r + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(35)\/(sqrt(7) + (sqrt(126)\/sqrt(2) + sqrt(63))\/sqrt(9)))**2 + (sqrt(605) - (-1 + sqrt(605) + 1))**2 + 4.\nAnswer: 68\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -48557745 divided by 20619?\nAnswer: -2355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2 + g - 3. Does 23 divide i(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/33 - (-192576)\/(-7788).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.3 and 16.5827.\nAnswer: -87.88831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4*j = 1041 - 8323, 10902 = 3*n - j. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -8*u**3 - 7*u**2 - 8*u + 1. Let x(y) = -7*y**3 - 6*y**2 - 7*y + 2. Let j(g) = -6*v(g) + 7*x(g). Determine j(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -1, -37, 2, -4 in descending order.\nAnswer: 3, 2, -1, -3, -4, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 2*i**2 + 3*i - 2. Let q be m(-3). Let w be q - (2 - (4 - 0)). What are the prime factors of ((-84)\/(-3) - 3) + w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.1 (b) -0.19 (c) -4 (d) 28 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -248 + 142?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 8*k + 313 = 133 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -53ea (base 16) to base 6\nAnswer: -243242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (0 - -6) + -12 + 2.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 176952 and 584?\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 71*d**3 + 272*d**2 + 8*d. Let c(p) = 142*p**3 + 545*p**2 + 14*p. Let x(v) = 4*c(v) - 7*w(v). Find the third derivative of x(k) wrt k.\nAnswer: 426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7608247 is divided by 1462.\nAnswer: 1461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-10)*(-100 - -98).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167252.8 millennia in years?\nAnswer: 167252800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 12, -50, 3, 4, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b + 25*b**2 + 172*b**2 - 144983*b**4 + 144986*b**4 to the form x*b**3 + m*b**2 + h*b**4 + k + t*b and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j = 6*j + v + 11, 3*j - 5*v - 21 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7011419.000015 + 7011403. Let u = v + 16. Round u to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 0*b**3 + 0*b**2 + 7*b + 11\/5*b**5 + 5 + 0*b**4. What is the derivative of t(l) wrt l?\nAnswer: 44*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1145232, -2289689, -3434146, -4578603, -5723060, -6867517?\n\"Answer: -1144457*n - 775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-50)\/(-3) + (-195)\/117. Suppose -3*i + 51 = s. Solve 2*t + i - 2 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of r**4\/6 + r**3\/2 - r**2\/2 - r. What is the lowest common multiple of f(-3) and 11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39643 - -318.\nAnswer: 39961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 30 - -4 - (0 + 2). Suppose 3*t + 2*s + 50 = 0, t - 2*s - 9 = -31. Let m = z + t. Calculate the highest common divisor of m and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70 + -39 + -49 + (45 - -3).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 199 by 1.\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m**3 - 69500*m**2 + 301344*m - 278208 = 0. Calculate m.\nAnswer: -5796, 4\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -96 + 202. Suppose -4*r + 160 = g - q, 200 = 3*r + g. Calculate the remainder when r is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/(-990)*7\/((-210)\/(-25))?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -57\/4, -1, 0.4 in decreasing order.\nAnswer: 0.4, -1, -57\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 76*s**2 + 2357*s + 30. Determine u(-31).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/266 and 73\/14.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 25*k + 54. Let v be p(-2). Suppose 4*d = -8*r + 13*r + v, 0 = -5*r - 4*d - 32. What is the fourth biggest value in 5, r, 24, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 133 = 3*j - 150, -4*c + 25 = 5*j for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.5, 2\/7, 0.04, -1\/2, 5, -3 in descending order.\nAnswer: 5, 1.5, 2\/7, 0.04, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -175788 divided by 8.\nAnswer: -43947\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -858*i**3 + 10*i**2 + 15*i - 44. Let v be x(11). Let b = v - -155667. Round b to the nearest ten thousand.\nAnswer: -990000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 2, 1, 9 in increasing order.\nAnswer: -3, 1, 2, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3212)\/(-28) - (-6)\/21 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24124324 - -101?\nAnswer: -24124223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -160.8 - -165.8. Put 2, -1\/6, -8, j in descending order.\nAnswer: j, 2, -1\/6, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.51 times 22085\nAnswer: 55433.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, 0.0271, -1, -6, 0, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-7 + 13 - -12 - 13)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**3\/13 - 1114*u**2\/13 + 70808*u\/13 - 69696\/13 = 0. Calculate u.\nAnswer: 1, 72, 484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -158603376.86 and 4.37?\nAnswer: 158603381.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 20576694 from 25.\nAnswer: -20576669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -1\/7, 13, -2.\nAnswer: -3, -2, -1\/7, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 15 = -75. Let g be 264\/q + 2\/(-3). Let c = g + -13. Solve 0*f = -f - c for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1247\/285 bigger than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15*2*13\/(-78)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 11*o**2 - 18*o - 66. What is the remainder when x(-3) is divided by 1\/(1\/12) - 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 219119653?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.02 - -6.02. Let k = 0.076 - 2.076. Let s = k + d. What is the nearest to -1\/3 in 3, s, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7, 22, 41, 64?\n\"Answer: 2*i**2 + 9*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -56255093 - 1.\nAnswer: -56255094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f - f + 9*f)*(3*f + 2*f**2 - 3*f) + (2*f**2 - 3*f + 2*f + 0*f**2)*(f + f - 3*f).\nAnswer: 10*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 1. Let h be (-3)\/(-42)*2\/z. Let b = 8\/5 - 6\/5. What is the closest to b in 0.5, -4, h?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80035 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 251432 and 848.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -349*i - 1035. What is m(-4)?\nAnswer: 361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-7))\/((19 - (-325)\/(-25))\/1106).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -1. Suppose 0*i + i = 14. Let w = 31 - i. Solve -j = -3*n - w for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 + -56. Let k(z) = 3*z**2 + z - 4. Let u be k(-4). Let t = s + u. Is t a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of k**4\/8 - 2*k**3\/3 + 37*k**2. Let t be x(2). Suppose t*f - 490 = 2*y - 6*y, 1235 = 5*f + 5*y. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76 divided by -70561\nAnswer: 76\/70561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 12\/7*m + 0 - 10\/7*m**2 - 2\/7*m**3 = 0?\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x - 7. Let i(n) = 3010*n + 35. Calculate -10*b(r) - 2*i(r).\nAnswer: -6030*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 7*g**3 - 688*g**2 - 114*g + 31. Is f(99) a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - c - 1. Let v be (-5 - 1*-2)\/(-3). Let f(g) = g**2 + 9*g - 1. Let d(o) = v*f(o) + 3*n(o). Solve d(r) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 1036493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 3:24 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*f - 22*f + 400. Suppose f*m - 10*m + 22 = 0. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5423 a factor of 874727386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**5 - c**4 + 12*c**3 + 7*c**2 + 7*c + 7. Let y = -14 - -10. Let b(r) = -4*r**3 - 2*r**2 - 2*r - 2. Let x(l) = y*s(l) - 14*b(l). Factor x(n).\nAnswer: -4*n**3*(n - 2)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*(m*m**(-2\/9)*m)\/m)\/m)\/m)\/m)\/m*m\/m**9*(m*m*m\/(m\/m**9))**(-42) assuming m is positive.\nAnswer: m**(-4250\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7203.6*0.0771.\nAnswer: 555.39756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 8*w - 6*w)*(-3*w + 4*w - 3*w) + 0 - 2*w**2 + 0.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/4914 and 34\/567.\nAnswer: 14742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 1323031322?\nAnswer: -1323031323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(108)\/sqrt(96) + (sqrt(8)*3 - (sqrt(2)*-1 + 3)))**2.\nAnswer: -279*sqrt(2)\/2 + 3099\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*3\/6*(-4)\/3. Suppose 0 = -2*y - o + 32, -4*y = o - 57 - 7. Suppose -h - 5*l - 5 = 3, 3*h = 5*l + y. Solve b*z = 6 - h for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 186962, 747935, 1682892, 2991833, 4674758?\n\"Answer: 186992*h**2 - 3*h - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -131 and 0.1611.\nAnswer: -21.1041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 7:39 PM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15)\/(-4) + (-3)\/(-12). Let y = 9 - 8.9. What is the closest to y in 5\/3, f, -4?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 2*o, -5*i - o + 0 + 18 = 0. Let i*u**3 + 33*u**2 + 432*u - 635 - 32 - 105*u**2 - 197 = 0. Calculate u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -3, -4 + 7 = -3*u + 3*c. Let b(s) be the first derivative of 11\/18*s**4 + u*s**2 + 2 + 0*s - 4\/27*s**3. Determine d, given that b(d) = 0.\nAnswer: 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*-1 - 120\/(-57). Suppose -5*d + 2 = -3*m - 24, -d = -m - 6. Let w be (1 + (-18)\/12)*m. Which is the closest to w? (a) h (b) 0.1 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1476050664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 3. Let q = 4 + p. Which is smaller: 3 or q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j + j + 0*j - j - 4*j + 3*j + 0 + 0 + j + (0 - 4 + 3)*(-2 + 2*j + 2) - 3*j + j + j + 2*j + 0*j - 4*j + 2*j - 2*j + 2*j - 2*j - 5*j + 0*j.\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = z - 7, 0 = 5*z + 4*g - 7 - 16. Let i be 2 + 0 - (-3 - -3). Suppose w - i*w = -4. Solve -15 = -3*d + z*p, -w = -2*p - 12 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -133*m**2 - 833*m + 44184878?\nAnswer: -266*m - 833","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6198*r**4 + 4700 wrt r?\nAnswer: -24792*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 1276*v**2 + v + 2. List the prime factors of p(1).\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -2*m - 5*q + 46, 4*m - 169*q + 174*q = 169 for m.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -7*b + 12*b + 219, s - 59 = -3*b. Calculate the highest common factor of 84 and s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 5*f**3 + 35*f**2 + 50*f = 0.\nAnswer: -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3920\/20*-3*-5*16\/840?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 133 - 113. Is z a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 + 3)\/(1\/13). Let s = 18 + t. Suppose 294471 - 69971 = -s*x. What is x rounded to the nearest 1000?\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 79838?\nAnswer: 718542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 7:29 AM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/2)\/((-27)\/18))\/(2153\/(-64590)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 56*o**2*w**2 + 3*o**2 - o*w**2 - 41*o*w + 2*o wrt o?\nAnswer: 112*w**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7528167996587 and 9.\nAnswer: 7528167996596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 5*d**2 + d - 5. Let y = -20 - -16. Give k(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((124\/124)\/(3\/(-11)))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -104, -95, -88, -83, -80, -79?\n\"Answer: -u**2 + 12*u - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 37\/2683 or 0?\nAnswer: 37\/2683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 12. Let h be f(0). What is the highest common divisor of 108 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (20 - (19 + -20))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.02 or -0.3831?\nAnswer: -0.3831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1094985271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 55395\/16 or 3461?\nAnswer: 55395\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*v - 112, 4*k + 245 = -k + 2*v. Calculate the common denominator of 145\/6 and (12\/(-81))\/(4 + k\/12).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -166, -2, 86264 in ascending order.\nAnswer: -166, -2, 86264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 181 - 177. Suppose -n*s = g - 27, -3*s + 16 + 10 = -5*g. Factor -2*r - s - 1\/7*r**2.\nAnswer: -(r + 7)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2176.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 138 + -101. Does 5 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -2. Let s(q) = 23*q**2 - 2*q - 1. Let h be s(v). Let m = 39 - h. Solve -3*p = 5*g + 37, -g = -5*p - 0*g - m for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 695*b + 2777. Let f be u(-4). Let r be -4 - (-1 - (1 - 2)). Put 17, r, f in descending order.\nAnswer: 17, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, y: 9, i: 2, j: 8}. What is prob of picking 2 i?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5*b - 28. Give p(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*s - 4*s - 2*s)*(11 + 10 + 18 + (-4 + 0 + 2)*(-5 - 1 - 4)) to p*s + h and give p.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20813851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 96474303?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/12 and 37\/13506?\nAnswer: 27012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q + 0*q**3 + q**3 + 9*q**2 + 325 - 929 + 322 + 304. Give k(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1572 = 2*r - 3*t, r - 513 = 5*t + 266. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002419224 rounded to 5 decimal places?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-10) - (-2552)\/(-330) - 2\/(-15).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 414614 is divided by 211?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/4152960 and 13\/435456?\nAnswer: 224259840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttztufztt. Give prob of picking 1 z, 1 f, and 1 t.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.4047 + 2.4047. Let f = 0.06 + 0.29. Sort g, 0.1, f in increasing order.\nAnswer: g, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*j + 8*j + 243. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -188 + 349. Let x = u + -61. Suppose -2*s = -58 - x. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 3*j + 19, -v + 2 = -j + 5. Let x = 6 + v. Let g(p) = -27*p - 1436. Let k be g(-54). What is the highest common divisor of k and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4, -8, 4, -1, -798?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6615 and 316940085.\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9.2 and -0.53.\nAnswer: 8.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 668081, 668071, 668061?\n\"Answer: -10*j + 668091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 1269 - 496. Let p = r - 771. Which is the nearest to p? (a) 2\/3 (b) 8\/9 (c) -0.4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 35 = 6*n + 4*a, 5*n + 5 = 4*a for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u - 5. Let s be a(4). Let w be 4617\/(-18)*1*(3 + -5). Let h be (w\/(-95))\/(3\/(-5)). Solve 2*c - s = -h for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 39321 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 7*w + 18 = 0. Let h = 11 - w. Let k(a) = -a**2 + 5*a**2 - 3*a**h. Let c(p) = -14*p**2. Calculate k(c(l)).\nAnswer: 196*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 19 = -4*s, 5*o - 5*s + 4*s - 38 = 0. Let c be (-7 + o - -2) + (-621)\/309. Which is smaller: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, 2, -57 in descending order.\nAnswer: 2, -49, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b**2 + 6*b - 15. Let a(f) = -4*f**2 + 9*f - 22. Let m be -7 + 7 + (-2 - -9). Let o(j) = m*y(j) - 5*a(j). Calculate o(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5 - 185 = 0. Let l = -31 - c. Let p = -21 + 36. Solve 2*o = 3*k + 7 - 2, 0 = l*k + p for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 2*m - 0*o - 4, 3 = -4*m + 3*o. Let a(z) = -z**3 - 2*z**2 + 25. What is the remainder when a(m) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 27 + 16*w**2.\nAnswer: 16*w**2 + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2121 + 2102111?\nAnswer: 2112002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*x + 363 wrt x.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 8*s - 17. Let f be b(-4). Suppose 0 = -2*o + 6*o - 8. Let h(d) = o*d - 1 + 0*d - d + 0*d. Give h(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31\/17650 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 67 and 7102.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 0.159349.\nAnswer: 0.0796745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 + 20. Suppose -9*g + 997 + 1451 = b. Let o = -92 + g. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*w + 3*w. Suppose 3*q + 2 = -w. Is (-3)\/(q + 0)*53 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of w**8\/168 - w**6\/30 + w**4\/12 - w**2 - w. Let p(f) be the first derivative of t(f). What is h in p(h) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 986.\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85629 is divided by 42792.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200012 - -100002210?\nAnswer: 100202222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of j**5\/20 - j**3\/2 - j**2 + 3*j. Let w be k(2). Suppose 0 = 2*v - w - 8. Solve v = -h + 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -68 + 79. What is the smallest common multiple of s and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 329699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -61*s**2 - 4535 + 4535 + (-3*s + 0 + 0)*(s - 2*s - 2*s).\nAnswer: -52*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.41124 - -1.38876. Sort 2, r, 2\/311 in descending order.\nAnswer: 2, r, 2\/311","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j - 6*j + j + 0*j. Let u(v) be the third derivative of -v**5\/12 + 13*v**2 - 2*v. Determine u(g(p)).\nAnswer: -320*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 0*y + 4*y - 868 = 0, s = -5*y + 182. Is 25 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5452\/9 + 605. Let s be (-2)\/(-8) + (-3)\/12. Does s = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 5. Let x = 1.1 - j. Let w = 0.9 + 3.1. Sort 0.2, w, x in ascending order.\nAnswer: x, 0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -323, -313, -287, -239, -163?\n\"Answer: v**3 + 2*v**2 - 3*v - 323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(4114) + -2*sqrt(4114) + sqrt(4114))*3)\/((4*-2*sqrt(6))\/(sqrt(27)\/sqrt(36))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**2)**(1\/11))**(-37)*((j**(-1))**(-2\/25))**(-8\/11) assuming j is positive.\nAnswer: j**(-1866\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*c**3*j**2 + 7*c**2*j**2 + 8*c**2 - 3*c*j**2 - 2*c*j - c + 320 wrt c.\nAnswer: -18*c*j**2 + 14*j**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1.2*-163\nAnswer: 195.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -18. Let b = 1 - -2. Suppose -g - b = -2. Sort -2, g, q in ascending order.\nAnswer: q, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6\/5 and 232\/(-28)*2\/2.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + l + 7 = 0. Let c(a) = -a**2 + 7*a. Give c(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 911943 is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n**2 - 16. Let x(l) = 2*l. Calculate x(t(g)).\nAnswer: -6*g**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10.8794 + -0.0406. Let l = a - -11. Let i = -0.0895 + l. Round i to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 145.014505 + 3602.6.\nAnswer: 3747.614505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i*i\/i**(-19)))\/(i\/(i\/i**(-13))))\/(i\/((((i**(-11)\/i)\/i)\/i*i*i*i)\/i))**(-24) assuming i is positive.\nAnswer: i**304","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u**4 - 176*u**3 - 1848*u**2 - 3280*u + 5300 = 0. Calculate u.\nAnswer: -5, 1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, n: 1, y: 2, p: 6, d: 1}. What is prob of sequence cn?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 - 0.4. Let l = q - 0. Let g = 166 + -331\/2. Put g, 0.3, 4, l in descending order.\nAnswer: 4, g, 0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of 3*u**5\/4 - 9*u**2\/2 - 4*u. What is the first derivative of b(r) wrt r?\nAnswer: 45*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 468, 480, 512, 570, 660, 788?\nAnswer: 960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 186 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.432 to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 42*x + 353. Calculate l(-30).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 6:23 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 89.71589 millilitres?\nAnswer: 0.08971589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((45\/(-50))\/9)\/((-12)\/40). Let u = 2 + -2. What is the nearest to u in 4, 5\/8, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 569848.\nAnswer: 2, 19, 23, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5666990 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*h + 9, o - h + 269 = 0. Let m be (o\/20)\/((-3)\/200). Suppose -7*w + m = 3*w. What is the highest common factor of 8 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -533177 - -533181.40038. Let v = -3.6 + 8. Let p = g - v. Round p to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17332?\nAnswer: 2, 7, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2001 and 1047.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/5 + 48*a**2 + 6696*a\/5 - 30752\/5.\nAnswer: 2*(a - 4)*(a + 62)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((2835\/280)\/(-9))\/(((-21)\/(-2))\/(-1))\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 581989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6059, -11735, -17425, -23135, -28871, -34639?\nAnswer: -40445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 6249*a + 6248*a - 18747*a + 6252*a.\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 260283*g**3 - 333253*g**2 - 2 wrt g.\nAnswer: 1561698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-3*sqrt(500)*-4)**2 + -3 + 5)*-2*2.\nAnswer: -287996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 6049*y + 91361. Calculate p(15).\nAnswer: 401","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 0*b + 57 = 5*b, -2*a + 55 = 3*b. Suppose -a + 6 = -u. Solve -3*h + 20 = -5*w, 5*w + u = -2*h - 0*h for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 444 divide 38182870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ogoo when four letters picked without replacement from {g: 8, o: 5}.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwdewddbddedweezdzdd. Give prob of picking 2 z and 1 d.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1462407817 - 0.14624. What is o rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 (base 13) in base 16?\nAnswer: -2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 310925319.\nAnswer: 3, 31, 37, 90359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5348? (a) -4\/7 (b) 0.4 (c) -236\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-5860)\/(-6))\/((-11)\/(-198)). Let t = d + -10780. What is t rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425)*4)**2 - (sqrt(136) + (sqrt(136) + 5*sqrt(136) + sqrt(136) + sqrt(136) - sqrt(136)))\/sqrt(8).\nAnswer: -8*sqrt(17) + 6800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 11*d**2 - 352*d + 3885. Calculate m(12).\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3 - 66*i**2.\nAnswer: -i**2*(i + 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 20*g - 27 + 1\/2*g**2. Calculate j(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-85)\/25)\/((-3)\/30) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_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: Does 293 divide 757405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o - 15. Let a be p(-6). Suppose 0 = 4*k - 4*t + 1840012, -a*t - 378942 = 3*k + 1001049. Round k to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14010490920.99999899 + 14010491006. Let c = u + -85. Round c to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 99 + -105 + (12 - -1) + -14 + 8 + -28\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70, 66, 60, 52?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3*d + d**2 + 7*d - 4*d. Let h(i) = 3*i**2 - 3*i + 9. Let x(b) = -h(b) + 4*u(b). What is the tens digit of x(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*y, -2*u + 3*y - 18 = -3*u. Suppose u = 3*o - 0. What is the units digit of ((-3)\/2)\/(o\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3524 is divided by 1154?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, g: 2, s: 2, k: 2}. Give prob of sequence lslg.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 - 45\/2. Let d = 6 + -2. Let p be 2\/d - (-7)\/2. Which is the third smallest value? (a) r (b) p (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a34 (base 13) in base 14?\nAnswer: 8bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3167\/3 + 364298\/345. Let u = r - -3\/23. Let k = -210 + 206. What is the second smallest value in -0.07, k, u?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 270 and -631948.\nAnswer: -631678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -396 + -2?\nAnswer: -398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -3*b**7\/35 + b**6\/4 - 7*b**5\/30 + b**4\/12 + 71*b**2. Factor q(v).\nAnswer: -2*v*(v - 1)*(3*v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence im when two letters picked without replacement from {m: 2, x: 3, i: 1, p: 3, y: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = s + 2*s - 2875, 4*s - 2*t = 3810. Does 12 divide (-1)\/(-4) - s\/(-40)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 12 = -v + 4*v, -2*f - 5*v - 20 = 0. Let m = f + 3. Suppose -50 = b - m*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5594 - -5595. Is v at most 2\/14701?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -5 (b) 56\/5 (c) -115 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -162085.063303 + 3?\nAnswer: -162082.063303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -69*q**5\/10 + 23*q**3\/6 - q**2 + 47*q. Find the second derivative of r(v) wrt v.\nAnswer: -828*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -329*h + 327*h - 3*a - 46, 3*a - 1288 = 44*h for h.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63 and 40273317?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 50303461 (base 7) to base 8\nAnswer: 17717274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 62 or 0.00911?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*t - 102*t - 112*t + 539*t - 143*t + 3*t**3.\nAnswer: 3*t**3 + 72*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1, 0.5, -0.072, 63?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -4*r - 1. Let w be v(-3). Let p be 3 + (-1*2 - -2). Suppose -p*h + 88 = h. Calculate the greatest common divisor of w and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4131.1 rounded to the nearest one hundred?\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 62*u - 51*u - 462. Suppose -3*k + u - 30 = 0. Solve 0 = k*z - c + 14, -4*c + 10 = -2*z - 5*c for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + (-11)\/9 + (-20)\/(-9). Suppose 0 = -i*k - 9*b + 5*b + 124, b = 0. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 12 = -3*c. Suppose g + 20 = y - 2*y, -2*g = -4*y + 16. Let w be (-4 + 6 - g\/(-2)) + 2. Is c equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-110))\/((-51)\/51)\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-2))\/(15\/(-15))*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 8. Let k = 0.04 - 0.04. Let c = 0.2 - 0.3. What is the closest to k in g, 2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**3 + 13*i**2 + 5*i. Let j(z) = -3*z**3 - 20*z**2 - 8*z. What is 8*a(o) + 5*j(o)?\nAnswer: o**3 + 4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 28*l**3 - 2*l**2 - 2*l + 1. Let c(z) = -57*z**3 + 5*z**2 + 5*z - 2. Suppose 0 = -43*f + 15*f + 17 + 39. Give f*c(d) + 5*w(d).\nAnswer: 26*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65966 divided by -2.\nAnswer: -32983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -o + 9. Let p(g) = -1035*g**3 - 3*g - 2. Let t be p(-1). Suppose 2*h + 779 = -o*c + 6*c, -4*c + t = -2*h. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47.622 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 548379229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*(w - 4*w + 2*w) - w + 4*w - 2*w - w + 4*w - 5*w + (-5 + 5 + 2*w)*(4 + 1 - 3) + 10*w + 36*w - 7*w.\nAnswer: 44*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1876 and 65007.\nAnswer: 121953132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 + 2*q**2 - 7*q**2)*(-3*q + 3*q - 2*q) + (q + 2*q - q)*(3 - 3 + 2*q**2).\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -149, -411, -783, -1271, -1881, -2619?\nAnswer: -3491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -214, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2486926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yhr when three letters picked without replacement from {d: 1, g: 3, r: 2, y: 3, h: 1, q: 3}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 563 + 3?\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4))**(-1\/14) assuming l is positive.\nAnswer: l**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**2 + 6*f - 17. Let c be z(2). Suppose -4*o + 125808 = 4*w, c*o - 35703 = -4*w + 58654. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.98353mg in micrograms?\nAnswer: 7983.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 19*g**2 + 53*g - 4. Determine s(16).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -3. Suppose 4*p + c*p = 316. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 7*w = -5. Let l be (-27)\/18*4\/(-15). Which is the closest to 2\/3? (a) l (b) 0.2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12 + -4)*(-2)\/(-4). Let u be (-1)\/((-2)\/y) + 2. Solve -3*j = -u*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -251*u**2 - 96*u**2 + 75*u**2.\nAnswer: -272*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -24025*i**3 + 1860*i**2. Let r(u) = 168*u**3 - 13*u**2. Give -13*p(w) - 1860*r(w).\nAnswer: -155*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.324484179 to three decimal places.\nAnswer: 0.324","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -298 - 1055 = -44*f - 165. Solve -15*l + 117 = f for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 - 8 - 42096255*a + 42096255*a.\nAnswer: a**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 + -0.27. Let t = 321.55 - 319.55. Which is the biggest value? (a) -0.06 (b) l (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44 + -265\/6. Let y = -4748 - -4748. Sort y, -5, b, 0.5 in decreasing order.\nAnswer: 0.5, y, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 5*z**3 + 45*z**2 - 485*z - 525 = 0?\nAnswer: -15, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-60)\/18)*(-45)\/162.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-420)\/180*3\/(-196)*24.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, 2, 25, 0.2, 0.1, 12496 in descending order.\nAnswer: 12496, 25, 2, 0.2, 0.1, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.07956 - 0.0403. Let b = 0.12 + j. Round b to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 931837885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1487718925.\nAnswer: 5, 7, 11, 59, 13099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 - 253 - (40 + -161)?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13546309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 4*f - 44. Let u(m) = -f*m - 4*m - m**2 + 10*m. Give u(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290*d + 439*d + 2884 = -2539 + 1049 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1973141073?\nAnswer: 3, 4253, 17183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 59210\/2865*1\/((-2)\/1*1)*6?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.05 - -0.05. Let y = b - -4. What is the closest to y in 0.1, 2, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -117, -476, -1075, -1914, -2993, -4312, -5871?\n\"Answer: -120*g**2 + g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.71518*-1.6.\nAnswer: 18.744288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of s**3*t + 4843*s**3 + s*t + 230*t wrt t?\nAnswer: s**3 + s + 230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of -l**5\/60 - l**4\/4 - l**3\/6 - 2*l**2. Suppose 5*j + 28 = -2. What is y(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t**2 + 8*t**2 - t + 12*t**2 + 2*t.\nAnswer: 15*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2227690?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8080.17 - 8481.9. Let a = 398 + c. Let h = 3.2 + a. What is h rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2226400 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**2\/9 + 25371008*r\/3 + 76113023\/9 = 0. Calculate r.\nAnswer: -76113023, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s\/(s*s**(-2\/5)))\/s)\/(((s*s*s**(-6)*s)\/s)\/s)*s**(-3)\/s*s**(-5)*s)**(-2\/9))**19 assuming s is positive.\nAnswer: s**(494\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/6*96\/(-64)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 747?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) 3 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (-11 - (-20 - 40))\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 11 - 9)*(4*p - 5*p + 6*p)*(-3 + 3 + 2).\nAnswer: 20*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3405, 3403, 3391, 3363, 3313, 3235, 3123, 2971?\nAnswer: 2773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/17))**(-14\/9)*y**(-5\/2)\/((y\/(y\/y**(-19)))\/y) assuming y is positive.\nAnswer: y**(1757\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**3 - 1 + 1)*(-17 - 3*g + 17) + (g**4 + 0*g**2 + 0*g**2)*(3 - 2 + 1) + 4*g**3 - g**4 - 4*g**3.\nAnswer: -5*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43 and 3483.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 149\/(-894) - 1\/12.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/7)*h**(3\/7)*h)**27 assuming h is positive.\nAnswer: h**(324\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -o + 152. Suppose -2*f = -3 - 3. Suppose c - o = -4*w, -f*c + w + 13 = -2*c. Calculate the least common multiple of 18 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05*215523.\nAnswer: -10776.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -2587230\/11 and -235202 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9999\/257 or 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 20 = 2*d + 3*o, 0 = -5*d + 2*o + 41. Calculate the remainder when 702\/(12 + 1) + -2 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19594 and 9494.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -3. Let b = 2 + 2. Let k = b - 9. Sort k, d, 5 in ascending order.\nAnswer: k, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 190512729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -u**5 + 5 - 5 + 44*u**3 - 190678*u**2 - u**5 + 190710*u**2 + 10*u**4 = 0.\nAnswer: -2, -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t - 87. Let i be n(0). Let b = -337 - i. What is the units digit of b\/(-4) - (-4)\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-8)\/10 - ((-2969)\/5 + -1) and 396.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + 19. Let n be (-5)\/5 - (-1 + 18). Let f = n + j. Is 16 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 374 and 34.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 182396486?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/((-5)\/(-4170)*-9). Let u = b - -511. Is -45 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**3 - 2*f**2 + 2*f - 3. Let q be k(2). Which is smaller: q or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 13*y + 169. What is the tens digit of l(-34)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -714633*f**5*m - 17*f**5 + 377*f*m - 102*m + 269 wrt f?\nAnswer: -14292660*f**3*m - 340*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -1. Suppose -5*t = j + 6, -4*j + 5*j = x*t + 3. Let w be (-9)\/(-21) + (-54)\/(-21). Sort j, 0.3, w in descending order.\nAnswer: w, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zinzzwenzznk. What is prob of sequence ie?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**1*(n**4*n)\/n*n**(1\/3)\/n**(-6))\/(((n*n*n**0*n)\/n)**(-27))**(1\/22) assuming n is positive.\nAnswer: n**(488\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 13*x**2 - 9*x - 8. Let o(h) = -27*h**2 + 18*h + 16. Let z(d) = -4*o(d) - 7*r(d). Let m = -17 - -14. What are the prime factors of z(m)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4*f - 7 = 4, 3*u + 3*f = 9. Let q(y) = -12*y - 41. Let i(h) = h + 7. Let n(r) = 6*i(r) + q(r). Calculate n(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -24. Let z = y + -10. Solve -2*h - 8 = z*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xbbugx. What is prob of sequence uxbx?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3512, 3520, 3532, 3548, 3568?\n\"Answer: 2*t**2 + 2*t + 3508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h - 15. What is l(15)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 5*c**2 - 11*c - 4. Let q be x(3). Solve 3*o + o - q = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2199465 divided by -333\nAnswer: 6605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 19944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/286 + 865\/2002. Let f(m) = 16*m**2 + 3 - 4*m - 17*m**2 + 3. Let r be f(-5). Which is smaller: s or r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12112724?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-6)*-6 + 0. What is the tens digit of -2 - (1\/(-4) + 1059\/r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 772 divide 25078420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -7. What is the fourth biggest value in s, 1\/2, -7\/4, 3\/4?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**2 - 28*o + 22. What is u(0)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23378?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.03 + 0.03. Let u = -0.1 - s. Let q = -0.1095 - u. Round q to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2102, 2133, 2190, 2279, 2406, 2577, 2798?\nAnswer: 3075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 706\/(-884) + (-1610)\/(-54740).\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*c - 2. What is the tens digit of c\/(-5)*(-30 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32\/63 + -5\/63. Which is the smallest value? (a) 4 (b) t (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 25426 - -144?\nAnswer: 25572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*t + 0*t - 6*t)*(-3 + 0 + 1)*(2 + 3 - 7) + 1327*t + 1113*t - 2934*t)*(0 + 4 - 2).\nAnswer: -1004*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 6*o - 2. Give q(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 767334, 1534669, 2302004, 3069339, 3836674, 4604009?\n\"Answer: 767335*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1029187?\nAnswer: 67, 15361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48 + -46. Let s(v) = -25*v**2 + 12*v**f + 14*v**2. Let i(u) = -6*u. What is s(i(t))?\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66276?\nAnswer: 2, 3, 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -8 - (-2 + (-3)\/(-3)). Let m be s\/((-63)\/(-78))*-18. Suppose 3*x - 112 = 2*u, 2*x - m = -2*x + 4*u. Calculate the highest common divisor of 85 and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 18586.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4, 12 = 4*z - 6*a + 7*a. Suppose z*k + 5*u - 127 = 0, 136 = 4*k - 4*u - 0*u. Calculate the remainder when k is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 1)*(1004*g**2 + 294*g**2 + 1983*g**2) in the form y*g**2 + w + v*g and give y.\nAnswer: -3281","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -850930 to the nearest ten thousand.\nAnswer: -850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9554070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2634 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6384 (b) -5 (c) -1\/4 (d) -1 (e) 4 (f) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -9\/58?\nAnswer: -9\/58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 919.\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*m - 77*m = -45. Which is the nearest to -1? (a) -2\/7 (b) m (c) -0.1 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17079173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*i = -399*i - 105*i + 127*i - 16590 for i.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l - 8 = -11*l. Let s(m) = 4 + 5*m - 11 + l + 5. Calculate s(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, f: 11}. What is prob of picking 2 f and 1 m?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.02306nm in centimeters?\nAnswer: 0.000009002306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -805 - -383. Let a = g - -526. What is the greatest common divisor of 91 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 3*k = 6*p + 25, 0 = -p - 5*k + 23 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 0*j + 2 = 3*i, -18 = -3*i - 3*j for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -20 + 50*z - 56*z + 20. Let m(l) = 9*l. Give x(m(h)).\nAnswer: -54*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7945)\/17025*(-50)\/(-2765).\nAnswer: -2\/237","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*1\/(-2*(-9)\/18)*6\/402.\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -80 + -53. Let n = b + 81. Let t = 51.9999806 + n. What is t rounded to six dps?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x. Let i(j) be the third derivative of -j**5\/12 + j**4\/24 - j**3\/3 + 1185*j**2. Let m = 2 + -3. Calculate m*s(u) - i(u).\nAnswer: 5*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dv when two letters picked without replacement from {d: 1, j: 4, v: 9, m: 4, z: 1, c: 1}.\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -120 - -1917\/16. Calculate the common denominator of (-8028)\/(-1320) + 6\/(-33) and o.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21037, 21970, 22903, 23836, 24769, 25702?\nAnswer: 26635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.5 + 0.5. Let m = -3.4 - o. Which is the biggest value? (a) 2 (b) m (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56 + 128. What is the highest common factor of 96 and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (0 + 0))\/(160\/(-160)) + 18\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 192 - 205.1. Let n = m - -13.1202. Let a = 0.01771 - n. Round a to four dps.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 151 (b) 533 (c) -12\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o - o**3 + 5*o + 8*o**2 - 7 + 9*o. Let p(y) = 4*y - 15. Let w be p(6). What is the units digit of z(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/25)\/(772\/2895).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3209129 and 953288.\nAnswer: 4109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -12.2. Let i = w - -0.9. Let d = -0.01 - 0.19. Put i, -3, d in descending order.\nAnswer: i, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31623 (base 8) to base 10\nAnswer: 13203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-3\/13)*g**(4\/13)*(g*g*g**(4\/7)\/g)**(-11) assuming g is positive.\nAnswer: g**(-1566\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 - 19.4. Let v = -4.5 - t. Let x = 4 + v. What is the second smallest value in 2, x, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5324.25l to millilitres.\nAnswer: 5324250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 7*t + 34. Let m(k) = -8*k - 39. Let a(f) = -5*m(f) - 6*z(f). Let q(d) = 12*d**2. What is q(a(o))?\nAnswer: 48*o**2 + 432*o + 972","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -648937*j + 3893618. Give b(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43257\/460 - -9369\/92. Find x such that 387\/5*x**2 - 15 - b*x**3 - 189*x = 0.\nAnswer: -1\/13, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6624 and 207.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 140635275 a multiple of 2022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/21 in 3.7, 90\/13, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7103?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 125\/248?\nAnswer: 125\/248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-16 - -26) + 8 + 18096?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqo when four letters picked without replacement from {o: 12, q: 7}?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - 1) + -9 - -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 570 is divided by 156?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.01, 574032, -13?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 10*n - 3. Let o(y) = y. Let h(a) = -3*o(a) - w(a). Let b be h(-7). Let t(m) = -b*m + 6*m - m. Let u(c) = -3*c**2. Give t(u(k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.6 - 0.6. Let y = 506\/871 - 8\/67. Let j = y - 2\/117. What is the nearest to r in j, -3, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.4263 months in centuries?\nAnswer: 0.07535525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gppy when four letters picked without replacement from {y: 3, q: 3, e: 5, g: 3, p: 4}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5*(5 + sqrt(3) + -1 + sqrt(108)).\nAnswer: 19 + 35*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)*2*1)\/sqrt(3))**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-4) - 49\/(-2). Let t = -2 + r. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -311*h + 20. Let d(y) = -105*y + 5. Calculate -8*d(w) + 3*z(w).\nAnswer: -93*w + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -17*z - 5. Let a(s) = 264*s + 77. Calculate 5*a(l) + 77*u(l).\nAnswer: 11*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-448)\/(-6))*103\/(24720\/64).\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*f + 4 = 2*f, 20 = o - 2*f. Suppose -2*h = 2*h - o, 2*w - 2*h - 104 = 0. What is the smallest common multiple of 30 and w?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 717 and 0.194592.\nAnswer: 717.194592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 t when two letters picked without replacement from dmjejtd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 92 + 67 = 9*c, 5*w + 4*c + 84 = 0 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j - 15*j + 92 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86937925 divided by -5.\nAnswer: -17387585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -843*u**6 + 8*u**3 + 249*u**2 - 27*u + 4 wrt u?\nAnswer: -101160*u**3 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*m**4 + 18*m**2 - 18895*m - 9667475.\nAnswer: 8*m**3 + 36*m - 18895","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009657713 rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 121\/(-6) + (-10)\/(-60). Let a = j + 25. Let q(u) = 4*u - 2*u + 2*u - 6*u**2 - 5 + 3*u. Let m(o) = -5*o**2 + 6*o - 4. What is a*m(h) - 4*q(h)?\nAnswer: -h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7867?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 28*r**2 + 79*r - 99. Let g be v(25). Let n(y) be the third derivative of y**6\/24 + y**5\/60 - y**4\/24 + y**3\/6 - y**2. Give n(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -187 - -416. Suppose -4*r + v = 213. Let c = -4 - -7. Solve -4*x - 8 = 0, -r*y - 4*x - c = y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 71253*m - 1140096. Determine k(16).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27908817 or 27908818?\nAnswer: 27908818","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 555*v**2 + 2205*v - 9. Give k(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*d**2 + d**2 + 3*d**2)*(-2 - 3 + 3) + (d + 0*d + 0*d)*(0*d + 2*d + 0*d) + 132*d**2 - 64*d**2 + 252*d**2 to o*d**2 + c*d + w and give o.\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -49, 0, 4842 in decreasing order.\nAnswer: 4842, 0, -5, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23659972 to the nearest integer?\nAnswer: 4864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 m when two letters picked without replacement from {k: 6, n: 1, u: 9, w: 2, m: 1}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -7812 + -89.64987\nAnswer: -7901.64987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 335260 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from odrgh. Give prob of sequence hgr.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, a: 6, o: 1, q: 5, l: 1, k: 3}. What is prob of sequence qlo?\nAnswer: 1\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 5*s + 24. Suppose -g + 4*g = s. Let w(q) = -q + 6. Let h be w(g). Solve 2*n - 3*t = -5*t, -3*t = -h*n - 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3698, 7393, 11088, 14783, 18478?\n\"Answer: 3695*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -411.9858676 and 0.03.\nAnswer: -411.9558676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 7*b - 4. Let l(t) = 9*t + 23. Let p be l(-3). Let y be (6\/(-36)*p)\/(2\/(-21)). What is m(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 12*w**2 - 23*w + 22. Let h be n(15). Suppose -2*z - h = -4*c, c + 3*z = -0*z + 88. Is c a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49311264841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*q = 4. Suppose 0 = -8*c + 6*c + q. Calculate the remainder when 5 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-209)\/4389)\/((3\/10)\/(27\/15))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80348744.\nAnswer: 2, 7, 431, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-1)*(-29)\/58\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -91 - -256. Let s = v + -99. Calculate the remainder when s is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -1 - (-27951)\/17787)*(-1)\/2.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 3*u + 124 - 56, 2*f + 21 = 5*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -529520040 rounded to the nearest one million?\nAnswer: -530000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -6, -1, -0.01, 109, 0, -2\/5?\nAnswer: 109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(325) + -1) + 3 - (sqrt(325)*2 + 3)*-2)*4 + -1)**2.\nAnswer: 1880*sqrt(13) + 7409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 9 + -7 + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 4*y**4\/3 - 92*y**3 - 2848*y**2\/3 + 816*y + 17472 = 0.\nAnswer: -7, -6, 4, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - -3*(2 + -1). Suppose -2*u = -0*q - 2*q, -t*q = 5*u - 30. Let l(r) = r**3 - r - 2. Is l(q) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/6 (b) -0.1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2. Let x(z) = -15*z**2 - 2. What is x(g(h))?\nAnswer: -60*h**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d - 385 - d + 0*d - 518.\nAnswer: 2*d - 903","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 587\/134 or 5?\nAnswer: 587\/134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 12*w = 47*w - 9240. What is the smallest common multiple of w and 22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -9*k - k. Suppose 2*i - 64 = -k. Suppose 0 = s - 32 - 71. What is the remainder when s is divided by i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -973 = 4*o - 125. Let n = o - -614. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*l - 91*l - 167*l = -432 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 12*b**2 - 13*b - 1. Let x(w) = -34*w**2 + 34*w + 4. Let y(q) = -5*x(q) - 14*z(q). Let p(t) = t - 1. What is -12*p(v) + y(v)?\nAnswer: 2*v**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -1. Let f(k) = -k - 13. Let q(h) = -f(h) + 2*r(h). Let u be (-450)\/(-60)*4*2\/(-10). Let w be q(u). Solve -5*c = p + 3*p - 36, -c + w*p = 16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, -4, -12, 4, -3 in ascending order.\nAnswer: -53, -12, -4, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10 - -9) + (-36)\/(-4) + 45. Suppose -379 = -m - 5*k + 60, 5*m - 2135 = -5*k. Calculate the highest common divisor of l and m.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 253 + -220. Let d = -32.4 + l. Let y = -2 + 1.7. What is the nearest to 1 in 2\/5, y, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137559183.\nAnswer: 3, 19, 31, 77849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 2*f + f + 1, 0 = -5*f - 2*u. Let w(r) = 532115*r**3 + 3*r**2 - r - 4. Let s be w(f). Let j = 1856910 + s. What is j rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -131*p - 150*p + 218*p + (3*p - 3*p + 3*p)*(2 - 2 - 1).\nAnswer: -66*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -0.3358251.\nAnswer: -1.0074753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/11 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 284 - 379. Let n = r - -95.3. Let f = -2 - -2.1. Which is greater: n or f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3*x**2 - 26*x - 12. Let o be r(-8). Solve d = 2*m - 5, m - o = -d - 0*m for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 8 = -4. Suppose -2*f - 4*b + 246 = 0, 311 + 157 = c*f + 2*b. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(88)*3 - (2*sqrt(88)*5 + sqrt(88)))\/(-4*sqrt(72) + sqrt(8) + (sqrt(16) - 2*sqrt(16))\/sqrt(2)).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24408\/17289*(3\/3)\/(-2)?\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21460 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: What is -30 (base 4) in base 8?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -464573*q + 231699*q + 232071*q.\nAnswer: -803*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1535507090.\nAnswer: 2, 5, 13, 97, 263, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (220\/(-275))\/((-3)\/((-15)\/(-2))). Let y(n) = h*n + 2*n - 2*n**2 + n**2 + 7. Let u be y(5). Is u equal to -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -10. Let c be 0 + z + (81 - 0). Let s = -45 + c. Calculate the remainder when s is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(66) + sqrt(66) + 2*sqrt(66))*-6 - sqrt(66)) + sqrt(66))\/sqrt(6) - (sqrt(704) + sqrt(704)*1)\/sqrt(4).\nAnswer: -32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 + 35.2. Let n = 8 - y. Let z = -230\/63 + 24\/7. Put 0.5, n, z in increasing order.\nAnswer: z, n, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 8*p**2 - 7*p + 7. Let n be g(7). What is the third biggest value in 0, n, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2160) + -3*sqrt(2160) + sqrt(2160))\/(sqrt(27) + -4*sqrt(27)).\nAnswer: 4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -831\/14 - -58. Calculate the common denominator of x and 101\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, f: 3, x: 1, k: 4, l: 2}. Give prob of picking 2 f.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-4)\/14)\/(43\/(-20167)) is divided by 36?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317 a factor of 119829095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j**4 + 4*j**4 - 5*j**4 + (j**3 + 5*j**2 - 5*j**2)*(175 - 94 + 10*j - 150) in the form z + c*j**2 + r*j + b*j**3 + a*j**4 and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by 35?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1452 or 497622\/343?\nAnswer: 1452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/7140 and -109\/362780.\nAnswer: 7618380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12157629 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7373.427 litres to millilitres.\nAnswer: 7373427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 343 divided by 85.\nAnswer: 343\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 120, 0.1, 0.4, -1\/6 in decreasing order.\nAnswer: 120, 0.4, 0.1, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 253050.3um?\nAnswer: 253.0503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c + 4*c - 2*c - 6*c**2 + 4*c**2. Let s(p) = -p**2 + p. Calculate 4*s(m) - 3*v(m).\nAnswer: 2*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -24573*a**3 + 34*a - 3. Let v(b) = 17552*b**3 - 24*b + 2. Determine 12*g(s) + 17*v(s).\nAnswer: 3508*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g - 5. Determine r(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -66*b**4 - 347*b**2 - 313*b - 49359798 wrt b.\nAnswer: -264*b**3 - 694*b - 313","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/6751639 and 76\/7815?\nAnswer: 101274585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1651\/9 - 183. Calculate the common denominator of -69\/22 and w.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 363688704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 5*a**3 - 95*a**2 + 400*a + 500 = 0?\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*w - v + 7, 4*w = 2*v + 20. Suppose -2*c = -w*c + 96. Let h = c + -13. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 586 - 580. Let u(z) be the first derivative of 3*z**2 - 8 + 0*z**4 + 0*z**3 + 0*z**5 + 0*z + 4\/3*z**s. Find the second derivative of u(q) wrt q.\nAnswer: 160*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1323 and 56448?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1013 - 977. Calculate the greatest common divisor of s and 252.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1242 - -878. Let a = v + 423. Calculate the remainder when a is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 12. Let z = 10 + x. What is the least common multiple of z and 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -392, -788, -1186, -1586, -1988, -2392?\n\"Answer: -f**2 - 393*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 16*q**2 - 192*q - 191. Let c be l(6). Solve c = h - 3 + 7 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, n: 4, y: 2}. What is prob of sequence llly?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-35)*f**35 assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of z**3\/2 - z**2 - 5*z. Let i be l(2). What is the highest common divisor of i and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 19, 0.\nAnswer: -2, 0, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1279 (base 16) in base 14?\nAnswer: 1a1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 5*k - 4. Let m = -14 - -17. Let i be l(m). Solve -12 = -g - i*g, -2*j + 3*g - 6 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00627103 to six dps.\nAnswer: -0.006271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m + 12. Let z be s(8). Calculate the smallest common multiple of 10*(-2 + z\/8) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2873326?\nAnswer: 2, 751, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, 2\/7, 1\/3, -251\/2, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -72, -5, -4.2 in descending order.\nAnswer: -4, -4.2, -5, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 149\/572 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -723 (base 9) to base 10.\nAnswer: -588","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 889.3 + -801. Round u to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161 is divided by 54.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(2 + 3 - 7)*(26*q - 7*q + 27*q).\nAnswer: -92*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away -2324962?\nAnswer: 2324962.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**4\/4 - 3*o**3\/2 + 2*o**2 + 3*o\/2 - 7\/4 = 0. Calculate o.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -21, 59, -4, -1 in descending order.\nAnswer: 59, 2, -1, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1522145303 by -5.\nAnswer: 1522145303\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 0 + 5*t - 4*t + 0 + 9. Let d be h(-3). Solve 2*c - 12 = -4*z, -c - d + 0 = -2*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 200.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 + 44. Let b = -72 + z. Let f be ((-15)\/(-9))\/(2\/b). What is the greatest common divisor of 55 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 138*x**2 - 863*x - 2. Let j be b(6). Factor 0*s + 8\/5*s**3 - 12\/5*s**2 + 0 - 1\/5*s**j.\nAnswer: -s**2*(s - 6)*(s - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 4696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 5:40 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4289*g + 72465 - 2881 - 7748 + 11077 = 0 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.025 - -17.975. Let v = g - 26.6. What is v rounded to 0 dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.4 + 1. Let t = -0.6 + 0.3. What is the biggest value in i, t, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 38 (b) -13 (c) -5 (d) 5 (e) 1 (f) -1\/10 (g) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + h + 1. Let t be z(-2). Let c = t + -3. Solve v + 5 = -c*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/6*1805\/30. Let y = j - -40. Which is the smallest value? (a) y (b) 0.4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -291*v**2 + 584. Let w(y) = 2*y. Give w(j(k)).\nAnswer: -1164*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 10:52 PM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23466 (base 7) to base 6.\nAnswer: -44043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7\/4, 0, 5, 0.077, 14, -0.7, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 34678, 138339, 311110, 552991, 863982, 1244083, 1693294?\n\"Answer: 34555*c**2 - 4*c + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 - -37. Which is the second smallest value? (a) -2 (b) -3\/4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 4*w**2 - 2*w - 4. Suppose -2 = 4*j - 5*i, -2*j + 4*i + 9 = 7. Determine c(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11591, -93465, -315515, -747773, -1460271, -2523041, -4006115, -5979525?\nAnswer: -8513303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 2 - -18 - 4?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2 + n - 1. Let j be (5\/(-15))\/((-3)\/9). Let m be s(j). Solve 2*h - 2 - m = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1276986 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.16? (a) -25 (b) 0.1 (c) -26.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 8*n**2 + 5. Let u(x) = -x**2 - 8*x + 9. Let m be u(-7). Suppose 0*a - m = 2*a. What is the units digit of c(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 834 = 2*r. Let c = r + 196. What is the hundreds digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/100)\/(6\/(-16)). Let d = -1911\/766 + -2\/383. What is the second biggest value in 3, d, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 273\/56 - (6 - 1)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 18 = t, -2*n - 2*n - 48 = -5*t. Suppose t*i - 7 - 65 = 0. Is -2*(i\/(-12))\/((-12)\/(-1528)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44555466.\nAnswer: 2, 3, 7425911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -121 - -120.9. Which is the fourth smallest value? (a) 2\/3 (b) 5 (c) s (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1684 (base 15) in base 12?\nAnswer: 2981","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 6*i**2 + 9*i - 17. Let n be b(5). Solve 3 = n*r - 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -0.07, 2\/7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + 33)*39\/39. What is the greatest common factor of a and 8652?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 464*w = 825*w - 18411 for w.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-219)\/6)\/(2\/(-4)). Suppose 0 = 2*m - b + 21. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 3*j = -160, -g - 4*j + 20 = -j. Let d = 76 - 51. Let p = g - d. Calculate the remainder when 18 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 6) in base 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 14)*16\/(-24). Let f be -2*2\/p*-10. Let o be (-3)\/6*(-2)\/f. Which is the second biggest value? (a) 3 (b) o (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/1928904 and -14\/241113?\nAnswer: 1928904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -183 by 90.\nAnswer: -61\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 886063?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d - 15. Let g = -1 - -3. What is the remainder when n(-11) is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-3))\/((-1)\/1). Suppose -g*y = -3 - 1. Let i = y - -1. Is -1 <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1523093 rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of x**2*y**2 + 35308*x**2*y + 400*x*y**2 + 15*y**2 wrt y.\nAnswer: 2*x**2 + 800*x + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-9 + -4) - (37 + -23)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 166769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2495156 by -19.\nAnswer: -131324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-8)\/120*15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96897 is divided by 48434.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -277 (b) 2\/5 (c) 0.1 (d) 0.3 (e) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -10*p + 1. Suppose -3*z + 8*z - 55 = 5*h, -5*z + 87 = 3*h. Suppose z*a = -10 - 5. Give o(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 307951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 25246.23 and -0.03297.\nAnswer: 25246.19703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23\/3 - 8. Let b(w) = w**3 + w**2 + w - 5. Let r be b(0). Let x = 2\/5377 + -10760\/16131. What is the nearest to 2\/3 in r, x, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 861 or 862?\nAnswer: 862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -3022?\nAnswer: -3021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (((-32)\/130)\/4)\/((1404\/(-11700))\/((-3)\/(-2)))\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -5\/21 and 4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 2, 17, 48, 101, 182, 297?\nAnswer: 452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 7*j**2 + 19*j + 12. Let i be v(-9). Let o be (((-42)\/(-8))\/i + -1)\/87. Is o >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 124160000 to the nearest 1000000.\nAnswer: 124000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 1) + (8 - 98) + (-21 - -5 - -27)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 104\/48*352\/(-572) + 10\/(-12)\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368 is divided by 123.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 3*j - 2*n, -j + 2*n = -0*n + 1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/2741 or 1?\nAnswer: -2\/2741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**3\/7 + 44*y**2\/7 - 50*y\/7 - 92\/7 = 0.\nAnswer: -23, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 104740225 to the nearest integer?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 19 - 1. Suppose -2*z = -4 - g. Solve 2*h + 16 = 5*n + 3*h, 0 = -5*n + z*h + 11 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 5:06 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 110 = 4*b, -4*u + 0*b + 229 = -b. Let n = u - 12. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**5 - 4156*s**4 + 367384*s**3 - 342392*s**2 - 1803540*s - 1089612 = 0. Calculate s.\nAnswer: -1121, -1, 3, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -44*w - 3690 - 3683 + 7461 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3180.\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*v + 2 - 7*v**3 + 5*v + 12*v - 6.\nAnswer: -7*v**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.134435467656 plus -1?\nAnswer: -0.865564532344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-164)\/18 - (1 + -10)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -22, -12, -2, 8?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(350)*3)\/(sqrt(63)\/(sqrt(45)\/sqrt(5))))\/((sqrt(490)*3*-3 + sqrt(490))*6).\nAnswer: sqrt(5)\/112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -19*s**3 + 17*s**2 - 17*s. Let x(m) = m**3 - m**2 + m. Give -6*i(o) - 102*x(o).\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 73116375 + 1417613.\nAnswer: 74533988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of -2 - (-2 - (0 + 76))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 14 + 2. Let a(t) = -t**3 + 25*t**2 + 1239*t - 30285. Let w be a(24). Solve -5*n = i*n + w for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5 + 13 = 0. Let j(l) = 1. Let o(n) = n. Let s(y) = -2*j(y) + o(y). Let h be s(c). Solve h*w - 3 = 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + b - 7 + 9 + 2 = 0, 47*b = -2*m + m + 75 + 105 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*k + 101*k - 15 + 6 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/5)*j*j*j**4*j assuming j is positive.\nAnswer: j**(36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16210984.6000087 + 16210986. Let b = w + -1.4. Round b to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 915833450 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 6\/4*(28 - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 11718*u - 105577. Calculate j(9).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2773617\/5 or -554724?\nAnswer: -554724","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*f = 14, 2*g = -5*f - 0 - 16. Let j(n) = 5*n**2 - 2*n - 2. Determine j(g).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.4 - 1. Let y be (4 + (-68)\/18)*(-1 - 2). Which is the second smallest value? (a) 0 (b) y (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b**2 + 7*b + 1. Let m = -175 + 179. Let f(a) = -5*a**2 + 6*a + 3. Let n(i) = m*y(i) - 3*f(i). Give n(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7347 - 30627.\nAnswer: -37974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -9. Suppose s*n + 4*c - 42 = -14, -29 = -2*n + 3*c. Calculate the greatest common divisor of 10 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 106 (b) -0.4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + (-26 - -7) - 11 - 32 - 2.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -109, -353, -773, -1375, -2165?\n\"Answer: -k**3 - 82*k**2 + 9*k - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/2 of a centimeter?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**4 - 147*f**3 + 1863*f**2 - 1437*f - 3450 = 0 for f.\nAnswer: -1, 2, 23, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w, -2*i - 2*i + 20 = 3*w. Suppose i*r + 5*a - 45 = 0, 4*r + 5*a - 38 = 3. What is the units digit of (-1)\/(10\/42 - r\/16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 0*y + 67 = -q, 5*q + 31 = y. Suppose 13 = -v + y. Solve d - 4 = 0, v*u - 26 = -3*d - 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0943 - 1473.\nAnswer: -1472.9057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 10*h - 32. Suppose 2*q - t + 2 = -h*t, -2*t = 5*q + 5. What is the closest to q in 1\/3, -0.2, -6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-10))\/((-4)\/6*(-2)\/10).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5*i = -21 - 109, 0 = -3*v - 2*i - 68. Let u = v + 118\/5. Let f = -6.9 + 7. What is the nearest to u in 0.14, -2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459108 to the power of 1\/2, to the nearest integer?\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -155 - (-140 + 74) - (-2 + -24).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-3 - 3 - -4) + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 212293 and -23950699.\nAnswer: -23738406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 22*o**2 - 5*o + 3. Let a(k) = -7*k**2 + 2*k - 1. Give -7*a(z) - 2*g(z).\nAnswer: 5*z**2 - 4*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220785196?\nAnswer: 2, 55196299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 66*q + 133*q + 1 - 64*q.\nAnswer: 3*q + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2885*a = 2871*a + 42 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*a - 4755 = -155*a - 255*a for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 + 3*f**2 + 0*f**2)*(-5*f**2 + 3 + 3*f**2 - 1 + 3*f).\nAnswer: -6*f**4 + 9*f**3 + 6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -2*d - 2*s, 5*d + s - 3*s + 2 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 24 - 24. Solve u = 6*j - 5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, v: 4}. What is prob of sequence pv?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of r**3\/3 - 2*r**2 - 2*r - 68. Let k = 10 - 5. Let c be b(k). Solve -c*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3087848 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: Suppose 4*g + 60 = 5*y, 4*g - 2*y + 52 = y. Which is bigger: g or -12?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15824 and 1564.\nAnswer: 269008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 0. Suppose n = -3, -n = m*j - 2*j - 21. Let r = 1873 - 1857. Calculate the greatest common factor of r and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -f**8\/6720 - f**7\/630 - f**6\/120 - f**5\/40 + 11*f**4\/6 + 3*f. Let l(m) be the third derivative of k(m). What is l(-4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.9999976 - -4. Round a to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1323366 (base 8) in base 10?\nAnswer: -370422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 103315 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-1\/2))\/b)**24*b**(-1\/7)*b*b**(-3) assuming b is positive.\nAnswer: b**(69\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1752729 - 0.17725. Round l to five decimal places.\nAnswer: -0.00198","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3, 25, 71, 135, 217, 317, 435?\n\"Answer: 9*j**2 + j - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*i - 31*i + 14. Suppose -i*g + 3269 = 413. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 5 = z. What is the derivative of 1 + 6 + z*m**4 + 3 - 3 wrt m?\nAnswer: 32*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of 0*r**3 + 2 + 19*r + 0*r**2 + 1\/4*r**4. Let l(g) be the second derivative of g**4\/3 + g. Give l(j(q)).\nAnswer: 36*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -604877*n**2 - 604825*n**2 + 1209692*n**2.\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ph when two letters picked without replacement from {p: 2, c: 3, h: 7}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -431717 - k + 431717. Let i(q) = 159*q - 4. Let m(s) = 795*s - 21. Let v(g) = 21*i(g) - 4*m(g). Give v(f(w)).\nAnswer: -159*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 9 + 7 = 5*g, -6 = m - 3*g. Suppose -3*l + 2 = p + 3*p, -p = -4*l + m. Let u = 1 + 1. Which is the nearest to p? (a) -0.5 (b) u (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 2 (c) -2543.0677\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 898159210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 100 + -90. What is the highest common divisor of 25 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l - 1. Let v(y) = -2*y - 24. Let n(c) = d(c) - v(c). Let w be n(-7). List the prime factors of w\/11 - 128\/(-22).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, 60, -4 in decreasing order.\nAnswer: 60, -4, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(22)\/sqrt(2) + sqrt(11)))**2 + 3 + -1 + 0.\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - f = -z + 2502, -12470 = -5*z - 5*f. List the prime factors of z.\nAnswer: 2, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2137 - 1947. What is the biggest value in 0, c, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + 1 + 6 + -4 + 34 + -25.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7199649283.\nAnswer: 7199649283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2023 + -443512?\nAnswer: -445535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 46 = k, 0 = 3*l - 6*l + 2*k + 47. Is (10\/l)\/(2\/(-91161)*-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -13*a + 19. Factor 26*w**3 + 0*w**4 - 25*w - 9 + 5*w**4 + 5*w**a - w**3 + 10*w**2 - 11.\nAnswer: 5*(w - 1)*(w + 1)**2*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 + -12 - (40\/4)\/(-5). What is the nearest to 0 in 54, m, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 88 - 108*l - 317 - 63*l - 74 wrt l?\nAnswer: -171","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8134 + 414883\/51. Let v = n + -5\/17. What is the closest to 4 in -0.2, -0.3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2*sqrt(110)*1 - sqrt(110))\/(sqrt(810) - (sqrt(810) + (sqrt(810) - sqrt(810)*-3))).\nAnswer: sqrt(11)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1375813 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2978\/(-6) + 6\/(-9). Let r = n + 976. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 6*s**2 - 38*s - 19. Let o be a(10). What is the closest to 6\/5 in o, 0, -1\/9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, o: 4, c: 3, n: 3}. Give prob of sequence eoec.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -74827.9\nAnswer: -7482.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 3\/94?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**2 + 3*h**2 - 2*h**2 + (12 + 1 - 51)*(-4*h - 2*h**2 + 4*h) in the form a*h**2 + k*h + p and give a.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -3.7956?\nAnswer: -0.37956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 6*a**2 + 6*a + 16. Let s be u(-8). Let w = s + 424. What is the highest common divisor of 33 and w?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 50*x**3 + 7*x**2 - 7*x + 14. Let v(z) = 11 + 6*z**3 + 19*z**3 - 3*z - 4 + 3*z**2. Let d(g) = -3*c(g) + 7*v(g). What is the derivative of d(b) wrt b?\nAnswer: 75*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -222*v**4 + 1197*v**2.\nAnswer: -5328*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0031100965 to four decimal places.\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2364676277 and 239?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-30930434\nAnswer: 12372173.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 14945 divided by 427?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 3*b - 29, 3*b + 1159 - 1137 = 2*u. Let g(t) = 2*t**3 - 11*t**2 - 2. Let a(q) = -q**3 + 6*q**2 - 4*q**3 + 1 + 4*q**3. Give b*g(y) + 7*a(y).\nAnswer: y**3 - 2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 244710952*m**3 - 22490011*m?\nAnswer: 1468265712*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 238.28371481993 - 0.5?\nAnswer: 237.78371481993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1130)\/(-4) - 1) + 4\/(-8). Suppose f - z = -q, 3*f - 602 + 1999 = 5*q. Suppose 0 = -4*x + 8*x + q. Round x to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6400313 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -3*o + 40, -42072*o = 4*t - 42074*o - 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 4*k = 8. Let x(p) be the second derivative of p**6\/120 + p**5\/15 + p**4\/8 + p**2\/2 - p. Let b(j) be the first derivative of x(j). Give b(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/7, 0.087, 264, 39, 1\/5, 1?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 5:50 PM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, h: 5, n: 5, k: 1, e: 1, v: 1}. What is prob of sequence mv?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hzrh when four letters picked without replacement from zzhrzzzhzhhhrhh.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -v**3\/3 - v - 16. Let g(h) be the second derivative of -h**4\/3 - h**3\/3 - h**2\/2 + 17*h. Determine -g(x) + 2*r(x).\nAnswer: 2*x**2 + 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44685\/2025 + -3*2\/90.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3021070 divided by 1105\nAnswer: -2734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.52 and -35.\nAnswer: -53.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 3231*h**3 - 277*h**2\/2 - 10*h - 8321. Find the second derivative of s(c) wrt c.\nAnswer: 19386","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**2 - 34*k - 48. Let o be s(-14). Suppose 3*y - 60 = -3*p - p, 3*y - 24 = -p. Calculate the highest common divisor of o and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-18)\/(-36))\/((-147)\/146 - -1). Is 2 at most as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**(-5)))\/(j**18\/j*j) assuming j is positive.\nAnswer: j**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1382, 1573, 1890, 2333, 2902, 3597?\nAnswer: 4418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of 0*d - 1\/60*d**5 + 1\/3*d**3 + 1\/8*d**4 + 2*d**2 + 0. Determine z(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163*k - 162*k = 208. What are the prime factors of k?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a gram in milligrams?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -88\/9 in -1, -2, -0.03, -1\/523?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1343*s - 795 = 1346*s. Are -265 and s non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, m: 3, p: 1, n: 7}. What is prob of picking 2 n and 1 z?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p. Let m(n) = 1570*n**2 + 1465*n**2 - 2911*n**2. Determine z(m(f)).\nAnswer: 248*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -2*t - 2*t. Are 4\/343 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, i: 11, t: 2}. Give prob of sequence tii.\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -20*x + 49. Let y be m(-7). Suppose 11*p - y = -10*p. Factor -p*j - 3\/4*j**3 - 6 - 9\/2*j**2.\nAnswer: -3*(j + 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67\/(1273\/285) + 6532\/(-436)\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s. Let y(v) be the third derivative of 9*v**4\/8 + 24*v**2. Calculate f(y(h)).\nAnswer: 54*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1019 - 724. List the prime factors of y.\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (163 - (-45 + 85)) + -11 - 31.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 524*f - 8450 = 394*f for f.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 3*u**2 + 7*u - 9. Determine z(-7).\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-5 - (-8 - -3) - -10).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 5 - 3)*(1 + 3 - 3) + 10 + 14 + 9)*(5*b + 0*b + 0*b).\nAnswer: 175*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 j when two letters picked without replacement from wjk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -1\/60*k**5 + 3*k**2 - 1\/120*k**6 + 0*k + 0 + 1\/6*k**3 + 1\/12*k**4. What is i(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41460401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16 + 31*z - 16 + (-z + 5*z - z)*(4 - 5 + 0).\nAnswer: 28*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(6\/(-4)) + (-3)\/1. Let a be 128 + -1 - (35\/o + 6). Let z = a + -122. Calculate the remainder when z is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 8 + 0 = -n, 4*v + 22 - 78 = -2*n for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/(-4) - -2)*0. Suppose j - 8 = -d*j. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 69369.\nAnswer: -4\/69369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/1674600 and -119\/167460.\nAnswer: 1674600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 28, 3\/8, 5?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -15*d**3 + 2*d**2 + 3*d + 2. Let a be t(-1). What is the greatest common factor of a and 96?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -331582*f**4 - 2*f**3 - 2*f**2 - f - 921674?\nAnswer: -3978984*f**2 - 12*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-1 + -5) - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232 - 188 = 12*y - 101 + 53 for y.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(10\/3)*l*l**25 assuming l is positive.\nAnswer: l**(88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -8*l**2 + 57*l - 364. Give s(7).\nAnswer: -357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 20 = -2*f. Let r = f + -10. Let x(q) = -3*q - 5. What is the remainder when 38 is divided by x(r)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 264.9 (b) -2.1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75)\/345*207\/(-345)?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72486.\nAnswer: 2, 3, 4027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 53 - 63 = 0. Suppose f - z*f = -40. What is the highest common divisor of 4 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/6, 4, 73.195?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m - 28 - 119. Let i = 122 + m. What are the prime factors of i?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*p - 31 = 45 + 14 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/5 - 208*x**2\/5 + 1523*x\/5 + 774.\nAnswer: -(x - 9)*(x + 2)*(x + 215)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/16025 and 18\/3205?\nAnswer: 16025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -106, -2320, -8336, -20056, -39382, -68216, -108460?\nAnswer: -162016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/228*-1*(-32)\/(-22)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -18533879 at most as big as -18533885?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of z**4\/2 - 7*z**3\/2 - 17*z**2. Let c be f(3). Let i = c - 12. Solve -o + i*o = 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9082 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*s + 3*y - 60, 2*s = -4*y - 32. Let a be s\/(-10)*(-65)\/(-26). Suppose -5*z = -a*z. Solve z*c + 2*c + 6 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -708 = -9*z - 3*z. Calculate the remainder when z is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5325920.\nAnswer: 2, 5, 33287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.3, -109, -7, -1\/6 in descending order.\nAnswer: 2, 0.3, -1\/6, -7, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*f + 0 = -22 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2270, 1975, 1666, 1337, 982?\nAnswer: 595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 184221061 to the nearest integer?\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i*o*u**3 + i*o*u - 200*i*o - 15*i*u**3 wrt u.\nAnswer: -6*i*o*u**2 + i*o - 45*i*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 702760 and 419.\nAnswer: 703179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 775, 777, 779, 781, 783?\nAnswer: 785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/(-18))\/((-1)\/78*-13))\/(4\/(-66)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9370401 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.307 + 19.593. Let c = 20 - n. Let h = 0.4 - c. Are h and -0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -232593686+63.26\nAnswer: -232593622.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - b2f?\nAnswer: -b34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -835194 + -8.166.\nAnswer: -835202.166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37\/12 + 3. Which is the third biggest value? (a) -0.5 (b) -7 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16619999 a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 672735 and 9030?\nAnswer: 1345470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 8:54 PM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9689*z - 377 = 9660*z for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 6*t + 7. Let l be s(-3). What is the common denominator of l\/(-18)*440\/33 and 69\/8?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 7:52 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-2 - -3) + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + 6. Let d = t + -16. Let u = 0 - 3. Put u, -2, d in decreasing order.\nAnswer: -2, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -117930114, -117930115, -117930116, -117930117, -117930118, -117930119?\nAnswer: -117930120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13.5 - 13. Let y = -1 - 5. Let s be ((-4)\/30)\/((-2)\/y). Which is the biggest value? (a) s (b) 5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 5. Let k(v) = 3*v**2 + 4*v + 2. Let j be k(b). Calculate the remainder when (-5 - -2)*(-10)\/j is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 4134774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 11:26 PM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 20803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1937 is divided by 60.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11744 and 2833184?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 261 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3334792 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.807 (b) 0.5 (c) 17 (d) -3 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - 2. Let j(x) = 8 + 2*x - 3 + 6*x. Let g be j(-1). Sort g, u, 0 in descending order.\nAnswer: 0, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -1 - 3. Let z = q + -2. Is z a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -8, 2*z - 26 - 8 = -3*j. Is z\/35 - 1\/(10\/(-13666)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + (sqrt(19)*-2 + -5)**2) - (sqrt(342)\/(2*sqrt(9)))\/(-1*sqrt(2)*5).\nAnswer: 801*sqrt(19)\/10 + 412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 7. Suppose 2*z + 75 = 5*o - 2*z, g*z = 3*o - 32. What is the highest common divisor of 171 and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/4*1*-10. Suppose -21 = -p*y + 4. Is 12 a factor of (24\/3)\/(2\/y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 5*h - 2 - 23, -5*q + 3*h = -25. Suppose -4*l + 127 = -q*n, -3*n - n - 12 = 0. Is 15 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 5) + -1 - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32191\/16 - 2013. Let y = x + 5\/16. What is the second biggest value in 0, 0.5, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 83 - 64. Let z(f) = 10 - v + 13 + 30*f - 4*f. Let s be z(2). Calculate the greatest common factor of s and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*x**2 + 1 - 1 + 0.\nAnswer: -11*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 130 + -118. Let s(w) = w**2 - 14*w + 29. Let x be s(u). Put 2, x, -4, -6 in ascending order.\nAnswer: -6, -4, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c - 11*c + 4*c + 2*c - c - 2*c + (c + c + 0*c)*(4 - 2 - 1).\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(1377)*4 + ((sqrt(85) - (-3*sqrt(85) - sqrt(85))) + sqrt(85))\/sqrt(5)*-4.\nAnswer: -240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 2, -7 in descending order.\nAnswer: 5, 2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 191207?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 3816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 76*q**2 - 359*q**3 - 1 - 74*q**2 - 4*q + 2*q + 509*q**3 to the form b*q + o*q**3 + y*q**2 + d and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -782943*p**2 + 391532*p**2 + p**3 + 391411*p**2.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 150 - 165. Which is the nearest to 9? (a) g (b) -0.2 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -30*s + 37. Let t(d) = 29*d + 2. Let w(o) = -t(o) - y(o). Let a(l) be the third derivative of l**4\/12 - 2*l**2. What is w(a(b))?\nAnswer: 2*b - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.05 - 0.35. Suppose 2*o + 1 = -h, 2*h + 3*h = -5*o. Which is the second biggest value? (a) o (b) r (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 446, 3556, 12046, 28622, 55990, 96856, 153926, 229906?\n\"Answer: 451*u**3 - 16*u**2 + u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 201868 and 1514473.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 104169 or 416675\/4?\nAnswer: 104169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6 - 27\/(-6))\/((-2)\/36). Let s be 234\/m*(10\/4 - 1). What is the nearest to -1 in 1\/10, -0.5, s?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 1356016?\nAnswer: 1356020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -594*c + 1259*c - 855*c + (-c + 3*c - 3*c)*(1 + 5 + 0) in the form y + d*c and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - 1674\/840 - (-9)\/(-12). Are v and -4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven tenths of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(2\/7))\/(u*u**11\/u) assuming u is positive.\nAnswer: u**(-68\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2055208416 divided by 4\nAnswer: 513802104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -480 = -6*o + o. Is o a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of t**8\/1344 - t**7\/210 + t**6\/180 - 5*t**4\/12 - 14*t**2. Let a(g) be the second derivative of u(g). Factor a(w).\nAnswer: w*(w - 2)*(5*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -137 - -185. Solve 55*j = x*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -3*k + 712, 5*k - 2*a = 2*a + 1162. What is the greatest common factor of 26 and k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3198345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/6*-8*(-3)\/(-42)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - (16 + -38) - 10 - (2 + -87).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b - 5. Let s(d) = -750058*d. Calculate s(a(h)).\nAnswer: 2250174*h + 3750290","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 0*c - 33 = -5*c, -3 = -w - 3*c. Suppose -5*r + 3*n = 16, -2*r + n = -4*r - 2. Let x be (-8)\/(-20) + 345\/75. Put x, r, w in ascending order.\nAnswer: w, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b**2 + 694*b - 694*b.\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2738185*g + 38334588. What is l(14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 0*p = -120. Let l = p - 17. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 149454 or 148827?\nAnswer: 149454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 0 - (4 + -6 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, t: 1, a: 4, n: 4}. Give prob of sequence va.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17526 + 13794 = 8*l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -2750, -2, -5, 4 in descending order.\nAnswer: 4, -2, -5, -16, -2750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j + 0*j + 3*j)*(5362 + 2758 - 4686 - 22225 - 35933) + (3*j - 4*j + 0*j)*(5 - 2 - 1) in the form u*j + r and give u.\nAnswer: -54726","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 395, 396, 397?\n\"Answer: r + 394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sofobooy. What is prob of picking 2 o and 1 y?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 13*a = -11*a, 0 = 3*l - 5*a + 22 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 44473 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1528*q - 1551*q = -46. Solve l + q*l = -2*h - 12, 0 = 3*h for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165\/2 greater than -0.63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11191693070 from 487.\nAnswer: -11191692583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2100 (base 3) to base 16\nAnswer: 3f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-48) + 36\/(23616\/24313).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 * -1737071\nAnswer: 1563363.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -392.08.\nAnswer: 1960.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -55, -2\/9, -1, 6, -2\/17?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/355 and -10\/11857.\nAnswer: 59285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1349 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + 26. Let j(a) = -107*a - 308. What is the remainder when r is divided by j(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 - (17 + -23) - -36?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1480098?\nAnswer: 2, 3, 246683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d + 2. Let k(x) = x + 88. Let v(s) = 5*s + 396. Let w(r) = 18*k(r) - 4*v(r). Calculate q(w(f)).\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 761873.6 kilograms to nanograms.\nAnswer: 761873600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -1. Find the second derivative of l**2 - l - l - 5*l**v + l**2 wrt l.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.24 - -3.54. Let n = 33.9 - 31. Let l = n + q. Round l to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -344995\/340782 + -2\/4369. Calculate the common denominator of 127\/6 and c.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q - 3. Let f be b(-7). Let t be 7 + -10 + f\/(-2). List the prime factors of 1\/t + (-102)\/(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -31*w**5\/5 - 109*w**4 - 431*w**3\/3 - 13*w**2 - 3403. What is i in u(i) = 0?\nAnswer: -13, -1, -2\/31, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 + 34*c + 6*c**2 - 4*c**2 - 4*c**2 + 16*c.\nAnswer: -2*c**2 + 50*c - 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from cccccece?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -67 - -68. Suppose 4*c = f - p - 1, c + 4 = 2*f. Suppose 152 = -f*b + 6*b. Is b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*m**2 - 13*m**2 + 106*m + 54*m**2 - 15*m wrt m.\nAnswer: 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 102830*r**5 + r**2 - 488*r + 1966 wrt r.\nAnswer: 2056600*r**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 330\/2*13\/13. Let v = w - 166. Put 4, 3, v in ascending order.\nAnswer: v, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 269188 and 692?\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**3 + 17*i**2 - 10*i - 17. Give n(9).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (250 - 12 - 18)*(1 + 2 - 5)*(-17*k + 396*k - 101*k + 334*k + 18*k) as o + l*k and give l.\nAnswer: -277200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4995780\/84 - 15\/(-35) - 7 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*o + 33. Let r be -1 + -2 - o\/(-3). What is the remainder when 58 is divided by 158\/r + (-6)\/(-24)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (725\/203 - 6\/(-14)) + 8.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 9041, 18072, 27095, 36104, 45093, 54056, 62987, 71880?\n\"Answer: -y**3 + 2*y**2 + 9032*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c**5*i**3 + 16661*c**3*i**3 + 2*c*i**3 + 1461*c*i - 3*i**3 wrt c.\nAnswer: 60*c**3*i**3 + 99966*c*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1258b6 (base 16) in base 2?\nAnswer: -100100101100010110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - v = 2. Let t(k) = 11*k**2 - 1. List the prime factors of t(v).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.9854 - 13018?\nAnswer: -12998.0146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5*(4\/(-10) - -1). Suppose 4*n - 4 = -p*b - 1, -12 = n + 5*b. What is the remainder when -11*(0 - 3)\/n is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 3*k - 3*g, 4385*g - 20 = 2*k + 4381*g for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 5)*(-8 - 6 - 6)*(-277*j**2 + 2 - 280*j**2 + 563*j**2).\nAnswer: -120*j**2 - 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - -17 - (3 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26134*m + 36445.\nAnswer: -26134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4\/5*6573\/11268*1\/1*-21\nAnswer: -49\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-108)\/15)\/(34\/(-8585)) - -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 571040 to the nearest integer?\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2034265 is divided by 508531.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -20 (b) 2 (c) -384\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.5, -9, -4\/5, 0.047?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h - 7 + 15 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.67 + -2.63. Let o = 2.04 - l. Sort 1, o, -12, -2\/11 in descending order.\nAnswer: 1, -2\/11, o, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 63 in 0, 2\/5, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rljd when four letters picked without replacement from {d: 2, f: 2, j: 5, r: 1, l: 8}.\nAnswer: 1\/918","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 5*d**2 - 6*d + 20. Let o be b(-9). Suppose -3*t = -o - 400. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 939 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.739455 to 1 decimal place.\nAnswer: 7.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*w - 142*w + 212*w.\nAnswer: -82*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 219, -274, 5 in descending order.\nAnswer: 219, 5, 1, -274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/848 and -73\/752?\nAnswer: 39856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15479?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**5\/3 + 58*m**4\/9 - 62*m**3\/3 + 262*m**2\/9 - 56*m\/3 + 40\/9 = 0.\nAnswer: 2\/3, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4 (b) 1\/4 (c) 32.23 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 277441*r**4*w**3 + r**2*w**2 + 94*r**2*w - 5*w**3 + 8*w**2 wrt r?\nAnswer: 6658584*r*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/4*j**4 - j - 3*j**2 - j**5 + 0 + 17\/4*j**3 = 0.\nAnswer: -2, -1\/4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -378 + 382. What is the second derivative of 2*a**x + 2*a + 4*a**5 + 7*a**5 + 44 - 30 wrt a?\nAnswer: 220*a**3 + 24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5}. What is prob of sequence xx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1762, -3531, -5336, -7195, -9126, -11147?\n\"Answer: -3*p**3 - 1748*p - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 8, -m + 2*z = -16 + 6. Suppose 5*l - 9 = 4*k + 17, -2*k = -2*l + 12. Solve -2*q = 5*r - l, 3*q - q = 2*r + m for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 + 5\/2)*-2. Solve 0 = -4*n + t*n - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3 - 1208500*i**2 - 2417015*i - 1208510.\nAnswer: 5*(i - 241702)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 17226.\nAnswer: 1\/17226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 34, 17, 2, -5, 2, 29, 82?\nAnswer: 167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6710 and 1586.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -68*i**3 - 120*i**2 + 944*i - 776. Suppose 241 = 10*l + 41. Let j(n) = 10*n**3 + 17*n**2 - 135*n + 111. Let m(v) = l*j(v) + 3*y(v). Factor m(d).\nAnswer: -4*(d - 3)*(d - 1)*(d + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2*h + 348 = 0, 57*h - 56*h = 3*a - 200. Calculate the highest common divisor of 1989 and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + s = 34*g - 150, 9*g - 10 = 18*g - 6*g + 5*s for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/40 of a kilogram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -150 - -167. What is the remainder when z is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 q when four letters picked without replacement from {r: 1, x: 4, q: 2}.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10431 and 31128?\nAnswer: 108232056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of 42*j - 27\/2*j**2 + 75 + j**3. Let q(r) = 0. What is r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6713 and 161386?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165*(9\/(-27) - 238\/(-30)).\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-132088)\/(-553))\/(-11)*(105\/(-6))\/5?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -33.\nAnswer: 9.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.093484872 + -0.3.\nAnswer: -0.206515128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 0*k - j + 134 = 0, -4*k + 140 = -2*j. Let i = k - -46. Suppose -3*g + 26 = q - 2*q, -20 = -5*q. What is the highest common divisor of g and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 126050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 184493\/21 - 8787. Calculate the common denominator of h and (-35)\/20*28\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 155*p**5 + 113914*p**2 + 42231644*p wrt p?\nAnswer: 3100*p**3 + 227828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15294 divided by 15294.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 103390 and 24500.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 4*v**2 - 7*v - 6. Let t be g(6). Let u = 1276 - 1270. Calculate the greatest common factor of u and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/369 and 41\/1149?\nAnswer: 141327","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/8*((-16)\/(-6) - 2). Let p(b) = 3*b**2. Let m be p(w). Factor 1\/3*j**m - 4\/3*j - 2\/3*j**2 + 8\/3.\nAnswer: (j - 2)**2*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2985429, -2985405, -2985359, -2985285, -2985177?\nAnswer: -2985029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3999)\/87978)\/(10\/8).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + 17 + 22 + -46\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - (0 + -1)*1. Let y(n) = 3*n**2 - 5*n - 8. Let z be y(5). Suppose c = 3*s - z + 6. Calculate the greatest common divisor of s and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3*k = -7152, -2*d = -2*k - 12483 + 7747. What is the greatest common factor of d and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 - -45. Let x(i) be the first derivative of 8*i - 16*i**2 + 10\/3*i**3 - 1 + 7\/2*i**a. Find t such that x(t) = 0.\nAnswer: -2, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3968*i - 8005 with respect to i.\nAnswer: 3968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/(2 - 52\/25) is divided by (-4 + -2)\/((-4)\/18*3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 690\/(-345) - 64\/(-26)\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 7:14 AM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1835827?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c - 3. Let z(g) = 6*g**2 + 3*g + 1. Let n be z(-1). Let u(h) = -h - 4. What is n*u(d) - 5*a(d)?\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1296 + 1280 = 16*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-18)*d)\/d**(-1\/31) assuming d is positive.\nAnswer: d**(-526\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - i - 101, 3*i - 25 = -2*f + 22. What is the remainder when 80 is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (0 - (0 - 6))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5708.\nAnswer: 2, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2929014 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -5, 3, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s = 4*u + 20*s - 1003, -s = -2*u + 505. Solve k - 255 = -u for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*2*sqrt(2304))\/(sqrt(1728) + 3*(sqrt(1728)*2 - sqrt(1728))))**2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 11453?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 2*y**2 + 3*y - 3. Let o be (154\/4)\/(8\/(-16)). Let k = -75 - o. What is b(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34430615 (base 7) to base 2\nAnswer: -1011100000010100011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u + 39*u**2 - 3*u**2 - 17*u**2.\nAnswer: 19*u**2 + 6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j + 29. Let a be t(-13). Suppose 7*s - b - 13 = 2*s, 0 = -a*s - 2*b. Solve -4*u = -6 + s for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23667?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 51610592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1034 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (6 - (4 + 4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3135eb (base 16) to base 7.\nAnswer: 36261346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-7)*(-15 + 135\/30)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 190, 788, 1784, 3178?\n\"Answer: 199*i**2 + i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.243 - -0.027. Let b = r - 0.47. Let h = -0.3 - b. What is the third biggest value in h, 0.4, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 7) + (15 - (42 + -21)) + 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13.4 - -1.6. Let r = -15 + d. What is the nearest to r in 0.1, 3, -3\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10243342444 (base 5) in base 12?\nAnswer: 37a66ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2 + 6046 - 12092 + 6046. Let w(b) = -3*b - 97. Determine w(p(m)).\nAnswer: -6*m**2 - 97","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20919002 is divided by 737.\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (2 + (0 + 1 - 18))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 32*z**2 - 2*z - 65*z**2 + 1 - 3 + 27*z**2 - 2*z**3. Let a be q(-4). What is the highest common divisor of 874 and a?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -10*n - 3. Suppose 3*o - 15 = 4*t, 0 = 7*t - 2*t + 3*o + 12. Let y be q(t). Let i be 30\/2*2\/5. Solve -2*p - i = 2*x, -p + x - y = 4*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + t - 1. Let c be y(-3). Suppose -c*q = -10, 0 = f - q - 28 + 6. Calculate the remainder when 34 is divided by (2\/4)\/1*f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -16*w**3 - 2*w**2 - 2*w - 2. Let s be i(5). Let l = -36979\/18 - s. Find the common denominator of l and 7\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (1\/(-1) + -1). Let n(r) = -2*r**3 + 4*r**2 - 4*r + 4. Let s be n(3). Let d = -31 - s. What is the closest to 0.1 in d, 4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**3*v**(-4\/5) assuming v is positive.\nAnswer: v**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1563840 and 6912?\nAnswer: 6255360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7eac (base 15) in base 8?\nAnswer: -64471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 0.84 (c) 5 (d) 63131 (e) -5 (f) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dsszzzzzdzzzzz. Give prob of sequence ss.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2 + 60*v**2 + 72*v**5 - 67*v**5 + 2 + 35*v**4 + 80*v**3.\nAnswer: 5*v**2*(v + 2)**2*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46 or 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -17*q + 569. What is the lowest common multiple of 22 and r(-11)?\nAnswer: 8316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/6408 and 13\/28836.\nAnswer: 57672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/277 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17533815.\nAnswer: 3, 5, 13, 89917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15755 is divided by 86?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33230411 (base 6) to base 4.\nAnswer: -3303333013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -645.7 - 24.67.\nAnswer: -670.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o + 2. Let c be b(-2). Let k be (-1 - c)*(-3 + 2). Let z be 10\/(k + (-3)\/(-1)). Solve -2*x + 3*w = -0*x - 15, 15 = -z*w for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/3))**(-8\/9)*g**(-1\/8)\/g**3 assuming g is positive.\nAnswer: g**(-739\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h*h\/(h*(h\/(h\/(h*h**(-9)*h)*h))\/h))\/h*h*h*h\/(h**(-1\/3)*h)*h*h)\/((h\/(h**(2\/9)\/h*h))\/((h*(h*h**(-3))\/h)\/h)))**(-30) assuming h is positive.\nAnswer: h**(-950\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 3. Let i be x(0). Let r be (i - -2) + 2 + -3. Let j be (-7)\/(-4) - (6 - r). Sort j, 2, -4 in ascending order.\nAnswer: -4, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 243305 - 3313?\nAnswer: 235552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s - 2. Let w be u(3). Let g be 0*(3\/(-2) + w). Let k(b) = b**2. Let i be k(0). Solve g = -x + 4 - i for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8082 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.264204 months in decades?\nAnswer: 0.1272017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5*o - 19 = 0, 0*v + 70 = 3*v + 2*o. What is the highest common divisor of 1116 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((4\/3)\/(2584\/255)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2 + 3929*q - 593720. Determine f(141).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 82\/23 + (39 - 43). Sort -23, 2, t.\nAnswer: -23, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -657565 and 4.\nAnswer: -2630260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5041 - -3?\nAnswer: -503d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*c - 4*c - 119 + 117 - 5*c to z + i*c and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4146 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4*1\/2*2. Let r = p - 4. Are r and -2\/11 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 25, -1.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*t - 36 - 30 = 112*t for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in millimeters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 38000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100110 + -1111000010100?\nAnswer: -1111101111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-8)\/(u\/(u*u**(-3)\/u)*u))\/(u*u**3*(((u**11\/u)\/u)\/u)\/u) assuming u is positive.\nAnswer: u**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07758492215 to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-202)\/404*4\/16.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3688.1 - -3638.1. What is the closest to t in 1\/6, 0.2, 5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -6*v + 20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-2))\/(12\/3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 96 = 21*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 949*s + 964*s - 2 + 943*s - 2872*s + 2.\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -258 divided by 530830\nAnswer: -129\/265415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) -3\/77 (c) 5 (d) -9\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/2 - -1)*2. Let y be c\/(-4) - 98\/(-56). Let u(z) = z - 9*z**y - z**3 + 107 - 52 - 53. Determine u(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of 190*x**2 + 0*x + 1\/20*x**5 - 5*x**3 + 0 + 3\/8*x**4. Determine h so that v(h) = 0.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3327 in 0, -1\/6, -1439, -0.5?\nAnswer: -1439","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/144 and 91\/40.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -122, 666, 1972, 3790, 6114, 8938?\n\"Answer: -x**3 + 265*x**2 - 386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 2*y. Suppose -2*w + 5*w - 12 = y, -4*w - 65 = -3*c. Calculate the remainder when 710\/(-90) + 8 + 1374\/27 is divided by c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -571*p - 3219392 = -49388168. What are the prime factors of p?\nAnswer: 2, 3, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9360045?\nAnswer: 3, 5, 208001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + (3 - -1) - 25. Let s = 53 + y. Is 10 a factor of (-69)\/((s\/(-4))\/5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 51 (b) 2 (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -40\/13, 27 in descending order.\nAnswer: 27, -3, -40\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1726832.\nAnswer: 2, 107927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 655, 747, 843, 943, 1047, 1155, 1267?\n\"Answer: 2*n**2 + 86*n + 567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 - 47.4. What is the biggest value in j, -4, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 16) + 25 - (8 + 6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 + 1)*(76 - 26*r - 76) - 2 + 2 - r + 2 + 2*r - 2 + 4*r - 3*r + 0*r + (2 - 4 + 4)*(r + 3*r - 3*r) to l + w*r and give w.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3623673517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*v + 19 + 5. What is the second biggest value in 5\/6, -4, v, 5?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 3 - 17. Suppose 3*a - o*a = -8. Suppose -5*i - 25 = 2*k, -3 = 2*k + i + 2. Solve p - a = 2*c + 3, -2*p - 5*c - 35 = k for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-36) - (-329)\/63. Put -3, -4, o in ascending order.\nAnswer: -4, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 + (-321404)\/(-26790))*15?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 4*g + 12800004, -5*y + 4*g = -8*y - 19200004. Round y to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1503 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6326 is divided by 32?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 12. Let r(j) = 4*j + 2. Let t(h) = -3*h - 2. Let d(k) = 4*r(k) + 5*t(k). Let f be d(2). Which is the smallest value? (a) f (b) -2\/5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -2. Let y be k\/(-9) + (-129)\/(-27). Suppose -r - 13 = -3*t - 3*r, -3*r = 3. Solve -5 - t = -y*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -20 (b) -1\/44 (c) -38 (d) -2\/29 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(35)\/sqrt(5) + 5).\nAnswer: -5 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -8 + -7 + 6 - -9. What is the biggest value in 0.007, w, -0.4?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2032497 is divided by 1626.\nAnswer: 1623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4*v = 658, -42*v + 343 = -u - 37*v. Which is bigger: -331 or u?\nAnswer: -331","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 12:49 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 66 - 64. Let k be 418\/7 + 4\/14. Factor k*z + 2 - 52*z**2 - 8 - y.\nAnswer: -4*(z - 1)*(13*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1067441821 to the nearest integer?\nAnswer: 32672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 11.3. Which is the closest to -2\/3? (a) -5 (b) 1\/2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(3\/4)*l))\/l)**(10\/7)\/(((l*((l*l**(-8))\/l)\/l)\/l*l)\/l*l**(6\/5)\/l) assuming l is positive.\nAnswer: l**(63\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (26 + 38 - 21)*(3*g + 2*g - 3*g + 3)*(1 - 6 - 2) to the form s + f*g and give s.\nAnswer: -903","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3777740 (base 9) to base 15.\nAnswer: -2aa269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13\/26 + (-41)\/(-2). Calculate the highest common factor of 105 and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24012 and 14890752?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -12*q + 4. Let z be o(4). Let t be (-4348)\/z + 4\/22. Let h = 166 - t. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100.6075 centuries to millennia.\nAnswer: 10.06075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 11*p**2 - 5*p + 17. Suppose 24 = 5*l - 1. Suppose t + 2*y - 1 - 3 = 0, l*y - 4 = -2*t. What is the hundreds digit of u(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -137 - -143. What is the lowest common multiple of v and 33?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 + -17. Let k = l - -70. Calculate the smallest common multiple of k and 34.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 9.07, -6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 r when two letters picked without replacement from {u: 4, r: 2}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 + 7 = -3*q. Suppose 5*x - 3*z = -16, -z = 2*x - 6*z + q. Is (x + 522\/(-4))*-2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 24068 and 0.1.\nAnswer: 2406.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 11*m**2 - 12*m - 11. Let g be j(-10). Let s be (2\/(-4))\/(1 - g\/6). What are the prime factors of 8 + -7 + s*62*1?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*l + 113 = 365 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r**5\/15 + 34*r**4\/15 + 352*r**3\/5 + 662*r**2\/15 - 2248*r\/15 + 168\/5 = 0. Calculate r.\nAnswer: -9, -2, 1\/4, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.98 - -0.02. Let s = v - 4.8. Let x = s + -4.2. Which is the second biggest value? (a) -6\/11 (b) -3\/7 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2*k - 10 = 2*k, 0 = 4*g - 2*k - 14. Calculate the common denominator of ((-22)\/g*81\/(-6))\/2 and -77\/34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/40 and 31\/2872?\nAnswer: 14360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (5*(-7)\/175)\/(3\/30)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*x + 128 = -617, -1005 = 4*p - 3*x. Is p > -255?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -4, -5, -3 in descending order.\nAnswer: -3, -4, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3 - 21476*b**2 + 215060*b - 537900.\nAnswer: -4*(b - 5)**2*(b + 5379)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 18. Let n(w) = 4*w + 3*w + 7*w - 16*w + 2*w**2 - z. Is 15 a factor of n(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i = 5*i - 11*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -170*s**5\/9 - 521*s**4\/9 + 307*s**3\/9 + 2062*s**2\/9 + 1492*s\/9 + 88\/9 = 0.\nAnswer: -2, -1, -11\/170, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (26 - 26 - 13*u)*(6 - 4*u + 5*u - 4)*(2 - 5 + 7) in the form h + v*u + o*u**2 and give o.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -49 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 570\/61 + -49862\/427. Let c = 108 + s. What is the closest to -1 in 3\/7, -3.5, c?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-5*(-5 + (-5 + sqrt(304) + 4*(sqrt(304)*2)**2)*4)*6.\nAnswer: -2331720 - 1920*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0\/(-5 - -1 - -2) - -590.\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2. Let i(y) be the second derivative of y**6\/360 + y**4\/12 - y. Let m(g) be the third derivative of i(g). Calculate l(m(s)).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17563*b**3 - 52672*b**3 + 17558*b**3 - 53*b + 17553*b**3.\nAnswer: 2*b**3 - 53*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -3*s**5 + 24*s**4 - 66*s**3 + 84*s**2 - 51*s + 12 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**3 + 479 - 968 + 485 - 2*d**2 - 3*d. Let x(m) = m + 1. Calculate -w(o) - 3*x(o).\nAnswer: -2*o**3 + 2*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -72140, -138422, -204704, -270986, -337268?\n\"Answer: -66282*b - 5858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 309006 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 41 (b) -6358 (c) 116\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 f when two letters picked without replacement from {i: 1, f: 9, b: 9}?\nAnswer: 9\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 708*z**2 - 711*z**2 + 17 + 13 to the form r*z**2 + c*z + v and give v.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4929 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/4*(150\/165)\/(-10)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w**2 + 4*w + w - 2*w**2.\nAnswer: 3*w**2 + 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pparp. Give prob of sequence ra.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5.6, 0, -1\/7, -12\/7, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 171925661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 3*w - 658 - 1146, -3*w + 1789 = -y. What is the greatest common factor of w and 2626?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206685.\nAnswer: 3, 5, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/39*(-1 - 3\/(-2)). What is the nearest to 2 in g, -0.3, -92?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 29*i - 166. Let r be m(8). Solve -3 = 5*b - r*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14.65 + -47. Let u = 33 + n. Let h = 0.6500185 - u. What is h rounded to six dps?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -10, 4, -57 in decreasing order.\nAnswer: 5, 4, -3, -10, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 4*u**2 - 7*u + 2. Suppose 5*s = -632*b + 634*b - 68, 0 = -0*s + 4*s. What is the remainder when x(7) is divided by b?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**3\/(a\/a**(-1\/2)))**(-3\/7))**11 assuming a is positive.\nAnswer: a**(-99\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - l**2 - l - 1. Let k(p) = 6*p**2 + 7*p + 4. Let w(h) = -k(h) + y(h). What is the units digit of w(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 36, 39, 0, -81, -204?\n\"Answer: -21*n**2 + 66*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6708 = -2*z + 2*w, -141*w - 13465 = -4*z - 144*w. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z - 13*z - 4*a - 41 = -14*z, -9 = 5*z - 4*a for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 8*n**2 + n - 5. Suppose -5*i + 0*i = -25. What is the remainder when i is divided by t(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -32*p - 5. Let h(d) = -6*d - 1. What is -11*h(j) + 2*t(j)?\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -39389315, -6 in descending order.\nAnswer: 2, -6, -39389315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.216 from -587653952.\nAnswer: -587653952.216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 8 = 4*t, -a - t + 8 = -5*t. Which is smaller: a or -3\/11?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 6*k = 66. Suppose 5*l - 7*l = -4. Solve 2 = x + 4*x - l*w, x = -5*w + k for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32762369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -10*a**3\/3 - 18. Let s(v) = -v. Determine s(y(x)).\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of q**3*v**3*z**3 + 13*q**3*v**3 - 2*q**3*z**2 + 75*q**2*v**3*z**3 - 3*q**2*v**3*z**2 - 5*q*z wrt z?\nAnswer: 6*q**3*v**3 + 450*q**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 + 3\/((-18)\/15))*-26?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 4518829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 less than -265101667269?\nAnswer: -265101667269.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11 or -300\/7?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10056376?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2086 divided by -14?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3*c + 32577 = 0, 8*b - 10*b - 4*c + 21754 = 0. What are the prime factors of b?\nAnswer: 5, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(2\/3)\/n)\/n)**(-3\/8))**(-1)\/((n*(n\/n**0)\/n)**(2\/17)*((n*n**(-2\/19)\/n)\/n)\/(n*n\/(n*n**6)*n)) assuming n is positive.\nAnswer: n**(-2269\/646)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -103 - -102. Is 476 - (-1)\/o - -4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3189494?\nAnswer: 2, 7, 11, 139, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 8610*k - 16984. What is s(2)?\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 961, 1737, 3843, 7939, 14685, 24741?\nAnswer: 38767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l + 42201 - 38518 - 130473 + l.\nAnswer: 5*l - 126790","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4*l + l**3 + 0*l**3 - l - 4*l**2 + 7. Let p be 6\/(-1 + 2 + 0). Let q be p*1 - (-2 - -3). Give i(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/2*((-60)\/800)\/(2\/30)\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and -11062127.\nAnswer: -11062126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**5 - d**5 - 4*d**5 - 1 + 59*d**3 - 9*d**5 - 59*d**3 + (-6*d**2 + 6*d**2 + d**3)*(-4*d**2 + 3*d**2 + 0*d**2).\nAnswer: -15*d**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 145*h**2 + 4634*h - 173. Determine x(27).\nAnswer: -443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s + 10. Let t be j(2). Let l(h) = -7 + 3 - 3*h + 5*h. List the prime factors of l(t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*u*v + 330*u + 10*v**4 + v**3 + 16*v**2 - 60 wrt v?\nAnswer: -4*u + 40*v**3 + 3*v**2 + 32*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + l**2 + 4*l. Let k be m(2). Let q = -3 + 3.1. Let i = 6 + -10. Which is the closest to q? (a) -0.4 (b) i (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(132) + 2*(sqrt(132) + (-4*sqrt(132) - sqrt(132))) + sqrt(132)))\/(-6*(sqrt(432) + (sqrt(432) - (sqrt(432) + sqrt(432)*1) - sqrt(432)))) + -5.\nAnswer: -5 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of 0*n - 19*n**2 + 11\/24*n**4 - 41\/6*n**3 + 0. What is the derivative of f(c) wrt c?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 = 5*d + t - 13, 2*t - 93 = -3*d. Suppose 4*k - k = d. Is 11 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**2 + 0*o**3 - o**3 - 2*o**2 + (-11*o - 16*o + o)*(2*o**2 - 3 + 3) - 3*o**3 - 4*o**3 + 5*o**3.\nAnswer: -55*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 13*m**3\/3 + m**2 - 7. What is the second derivative of p(z) wrt z?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 0*h - h + h**3 + h**2 - 15 - 91. Let p be k(0). Let r = p - -191. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 149034416 + -22951398137\/154. Let b = -6918\/11 - t. Let f = -28611\/20 + 1429. What is the common denominator of b and f?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -938313*y**5 + 36*y**2 - 239*y - 3 wrt y?\nAnswer: -56298780*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d**2 - 9*d - 14. Let c be h(-4). What is the least common multiple of 42 and c + (-52)\/(-32) + 9\/24?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010100 (base 2) to base 6.\nAnswer: -404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1761, 1\/138990, 3\/5.\nAnswer: 1\/138990, 0.1761, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 11*y + 5. Let a = -13 + 11. Let t(z) = 5*z + 2. Give a*u(v) + 5*t(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.907146 rounded to three dps?\nAnswer: 1.907","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -b**7\/14 + 6*b**6\/5 - 39*b**5\/5 + 51*b**4\/2 - 91*b**3\/2 + 45*b**2 + 359*b. Let t(n) = 0. Calculate n.\nAnswer: 1, 2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - -206. Does 13 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/11 (b) 2.09 (c) 0.2 (d) 2 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**3 - d**2 - 2*d. Let p be s(0). Suppose g - w = -p*g + 16, -2*w + 48 = 2*g. What is the highest common divisor of g and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, t: 1, o: 8, s: 5, r: 1}. What is prob of picking 2 o?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 11, w: 5}. What is prob of sequence ww?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**2 + 5*o + 18 = 0. What is o?\nAnswer: -2, 9\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 83.\nAnswer: -7\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 24*w. Let v(m) = -21*m**2 + 224*m - 2. Calculate b(v(g)).\nAnswer: -504*g**2 + 5376*g - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, -5, 5 in ascending order.\nAnswer: -5, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1329085\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmxmxmmmm. Give prob of sequence xmx.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2*o = o + 23, -o - 17 = -2*h. Let k = -5 + h. Suppose k*b = -0*b - 2. Are -1 and b unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -683 - -680. Suppose 0*q - 5*k = q - 10, -2*q + 11 = k. Let j = -3 - -3. Which is the closest to j? (a) q (b) d (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, k: 2, l: 4, e: 4, w: 6, r: 2}. What is prob of picking 1 e and 3 l?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -406 - 88 = -13*i. Solve -3*l = -47 + i for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -4*p - 17 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3\/14 + 57\/70. What is the nearest to -2 in 6, g, 0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 159 = -z. Suppose -5*d + 32 + z = 0. Calculate the remainder when 32 is divided by d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(2 - 19\/9). Let k(l) = 12*l + 30. Let p be k(w). Let m = -55 - p. Solve -m = 4*s - 3 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 65.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by -21502?\nAnswer: -17\/21502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**2. Let r(p) = 26731217*p**2. Give c(r(g)).\nAnswer: -1429115924602178*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9515789*v + 7821597.\nAnswer: 9515789","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g**2 + g. Let y(v) = -10*v**2 - 4*v - 1. Let o(p) = 7*w(p) + 2*y(p). Let z be o(-2). Let c(a) = a**2 - 3*a - 4. What is c(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 60536538811132 + -4\nAnswer: 60536538811128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 2*p - 5. Let l be a(-8). Let y = -28 + l. Suppose 0 = -4*d + 5*x + 33, 0 = 4*d + 5*x + 24 - 7. Solve d*m + m = y for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/10)\/((200\/(-1000))\/((-2)\/(-2))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 43, 426, 1.9?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, 5.4, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4676388 + -25?\nAnswer: 4676363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7232834 and 1554.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/13 - 197012*r**2 - 2561158*r\/13.\nAnswer: 2*r*(r - 1280579)*(r + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 3*z + 15 = 0. Let t = z + 10. Suppose 4*o = -4*w - 0*o + 64, -2*o = t*w - 68. What is the highest common divisor of 30 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -20*h + 11913. What is the third derivative of 2 + 1241*x**2 - 114*x**4 - 641*x**2 - h*x**2 wrt x?\nAnswer: -2736*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58333 + -58332. Let x = 0.1 - 1.1. Which is the second smallest value? (a) -0.5 (b) p (c) 0 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3901 is divided by 41?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (197*t + 22 - 40 + 17 + (-4 + 5 + 1)*(-2*t - 2*t + 2*t))*(8*t - 8*t - 4*t**4).\nAnswer: -772*t**5 + 4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -76*u - 280. Let a be y(-20). Calculate the greatest common divisor of 80 and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41143.\nAnswer: 41143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84602.67nm to micrometers.\nAnswer: 84.60267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -1. Suppose k*p - p = 38. Suppose -b = -3*b. Solve 3 = m, 5*m - p = -v - b*m for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 168*s - 49*s + 12 - 59*s - 62*s. Let b(o) be the third derivative of o**4\/24 - 22*o**2. What is b(c(x))?\nAnswer: -2*x + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.15 and -5822.\nAnswer: -24161.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 33403312 + -2?\nAnswer: 33403310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3650701*p**2 + 65*p + 662206054 wrt p.\nAnswer: 7301402*p + 65","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20297 - -10442. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**3\/9 + 2456464*j**2 + 10182834260732*j\/3 + 794246127280424\/9 = 0 for j.\nAnswer: -2763509, -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82327739 is divided by 59186?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 4176*t - 4. Let q be p(4). What is q rounded to the nearest 1000?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 3*k + 23 - 11.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4*x + 21 + 7 - 2 + 5*x - 2*x. Suppose 0 = 4*v + 2*y + 67 + 1, 5*v = -3*y - 87. What is the tens digit of a(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 85?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*z - 303, c - z - 148 = -441. Let q(m) = -5*m**2 - 94*m + 23. Let p be q(-23). Let n = c - p. What is the greatest common divisor of n and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1051388\/8961 + -12\/2987. Which is smaller: -117 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27465.86 weeks in days?\nAnswer: 192261.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v**(-2\/11)\/v)\/v)*v)**(-27)\/(v\/((v\/(v*v**(3\/4)\/v))\/v)*v**(1\/7)\/v))**(-38) assuming v is positive.\nAnswer: v**(665969\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2. Suppose 6*m - 2*m - 8 = 0. Let o(g) = g**3 - 23*g**2. Let k be o(23). Let l(b) = k*b - 3*b + 3*b - m*b. Give h(l(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 19*b + 4. Suppose 17*x + 245 - 7 = 0. What is d(x)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -6*d. Let v(a) be the first derivative of 8 + 0*a**2 + 8\/3*a**3 + 0*a. Calculate u(v(c)).\nAnswer: -48*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*(-4)\/4 - 65. Suppose -102 - 134 = -2*m. Let c = g + m. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -19. Suppose g - 2*k - 1 = -0, g = -k - f. Let d(r) = -6*r - 14. Is 11 a factor of d(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*q = -38*q + 84 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287*x + 640 = -351*x for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 32*n**3 + 43*n**2 - n - 1. Let s be j(-1). Solve 21*q - 30 = s*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -v - v - 12, 0 = 3*r + 4*v - 30. Suppose -r = -f + 8. Is f a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from iiujj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22871 - -22997. What is the lowest common multiple of j and 1078?\nAnswer: 9702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 12305*y**2 - y - 1. Let c be h(-2). Suppose c = -28*z + 37*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -513*l**4 + 3*l**3 - 1489*l**2 + 524759102.\nAnswer: -2052*l**3 + 9*l**2 - 2978*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 529*s**3 + 4*s**2 - 2*s + 9. Let f(o) = 265*o**3 + 2*o**2 + 4. Let p(w) = -5*f(w) + 2*t(w). What is the tens digit of p(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 170 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 e, and 1 h when four letters picked without replacement from {h: 1, e: 4, z: 4, f: 2, y: 3}?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 441 divide 9058838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, y: 1, r: 1, q: 1}. What is prob of sequence rf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9\/2, -1, -3\/4, -21, -5\/6, 0.09, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4*p - 13 = -7*a, -4*p - 8 = 0. Let d be (a + (-1 - -9))\/(9\/6). Suppose 4*y + d*y = 50. Solve 0 = l - x - 4, -3*l + 17 - y = -x for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -0*x - 3*x + 27, 5*x = -q + 49. Calculate the remainder when x is divided by (-6)\/(-7)*(0 + 7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132, 539, 1226, 2199, 3464, 5027?\nAnswer: 6894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-8 - -51) + -20?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/25 in -13, -3\/7, 2\/13, 7?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16332 - 4884604.\nAnswer: -4900936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2793166 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 117860478347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3867885007?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (2 + -19 - (-137 + 128))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1470, -1547, -1676, -1857?\nAnswer: -2090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 1501365*c - 7506835. Calculate d(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -612 + 623. Let u be (t - (-5344)\/(-504)) + 2\/(-18). Factor -8\/7*o**3 + 10\/7 + 8\/7*o + u*o**4 - 12\/7*o**2.\nAnswer: 2*(o - 5)*(o - 1)*(o + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-5 + (2 + sqrt(1331))*2 + -3)**2)*6*6.\nAnswer: -6336*sqrt(11) + 192132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.29 + 2.2. Let s = 245 - 243.942. Let h = s - 0.058. Which is smaller: h or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*i - 56*i = -2*w - 1596, -377 = -i - 5*w. Suppose -394*c + i*c = 3. Solve -2*l + 12 = 2*h, -3*l - c - 2 = -4*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -7*l**2. Suppose -5*r = -40 - 0. Let y be (1 - 0) + (10 - r). Suppose n - y = -2*n. Calculate o(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/6*(-3)\/(-2). Suppose c - p = -0*c. What is the third derivative of -2*m**6 - 2*m**c + 4*m**6 - 4*m**6 wrt m?\nAnswer: -240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/9*(-84)\/8. Let v(f) = 10*f - 2. Is v(m) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(2\/13))**11\/(((g*(g**1\/g)\/g)\/g)\/g*g)**37)**(1\/42))**33 assuming g is positive.\nAnswer: g**(5533\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3 = -5. Let t(o) = 2*o**2 - 7*o**2 + o**y + o + o**3 + 4. Let v be t(4). Solve b - v = -b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/78276 and 8\/23880703.\nAnswer: 286568436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 5*u + 2179, 4*u - 1089 = -2*r + 7*u. Let c = -7 + r. Is 12 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -774380.000075 - -774389. Let u = -48 - -57. Let y = u - w. Round y to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - p + 1. Let x(m) = -m**2 - 14*m - 17. Let r be x(-13). Let y be (-16)\/r - (-2 + 1). Suppose y*l = 3*b - 1, l - 4*b - 1 = 9. Give k(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvlvululv. What is prob of sequence vvlu?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 143 + 151306?\nAnswer: 151451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 5*t - 2*k, -3*t + 3*k + 29 = -22. Calculate the remainder when 40 is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2607)\/(-143) + -18 + 32\/480 + (-9613)\/195\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 7:34 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 6*p + 3. Let y be j(6). Suppose -36 = -2*w + 3*o + 60, y*w - 2*o - 134 = 0. What is the highest common factor of w and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7.3, 1\/6, -2.194826 in ascending order.\nAnswer: -2.194826, 1\/6, 7.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.1 (b) -17\/3 (c) 4705\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -326317256*w**5 + w**2 + 2*w + 50714450 wrt w?\nAnswer: -19579035360*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.047 - 0.045441. Round u to 4 decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3741504560 to the power of 1\/4, to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.045 - -0.085. Let k = h + 0.46. What is the nearest to -2 in k, -2, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 12*k**3 + 3*k - 4. Let w(u) = 35*u**3 + 8*u - 11. What is -11*f(v) + 4*w(v)?\nAnswer: 8*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1123075 is divided by 698.\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 1362\/209 and 8 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1357, -0.1, 1\/8, 1\/19, 0, -5 in decreasing order.\nAnswer: 1357, 1\/8, 1\/19, 0, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*f, 0 = 2*i + i + 4*f - 421. What is the greatest common factor of i and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7917696?\nAnswer: 2, 3, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in eleven eighths of a millisecond?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + h - 111, h - 276 = 4*f - 9*f. Let r = f - 53. Let t(w) = -26*w**2 + 14*w**r + 13*w**2. Let p(k) = -k**2 - 1. Give 3*p(g) + 2*t(g).\nAnswer: -g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -188\/77 - -2290\/1001. What is the second smallest value in 0.3, 4, c, 0, -69?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-1) - (2 + -2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 10 = 5*s, -h = -4*s - 0*s + 21 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -192 - -190. Which is the nearest to k? (a) -3 (b) 4 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 12. Solve q - 3*q = s for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27 by 112008.\nAnswer: 9\/37336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 3*d + 15, -4*n = -3*d - 10 - 11 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14.1 + -14. What is the third smallest value in -5, 3\/2, u?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(2299) + sqrt(2299) + 0 + 3) + (4 + 2*sqrt(2299))*4)**2.\nAnswer: 7700*sqrt(19) + 451229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/(s\/s**(2\/7)))\/s)\/((s\/(s*s*s**(2\/13)))\/s*s))\/((s*s**(2\/5))\/s**1))\/(s*s**(2\/5)*s*s*s*s\/(((s**(1\/4)*s)\/s)\/s))**(-3\/5) assuming s is positive.\nAnswer: s**(33939\/9100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1572083*0.023.\nAnswer: -36157.909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5093, -6057, -7003, -7925, -8817?\nAnswer: -9673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 - -11 - (5 + 18)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 p when two letters picked without replacement from cctpccpcp.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116281081?\nAnswer: 7, 89, 186647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-8))\/(27\/(-12))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 4*l - 15, 2*u - 5*l + 11 = 5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 + 1712540*b + 146639662580.\nAnswer: 5*(b + 171254)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -134 (base 5) in base 15?\nAnswer: -2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(3\/4)*h**2\/h)\/((h**(-5)*h)\/h**(-2)) assuming h is positive.\nAnswer: h**(13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 178238, 352020, 525802, 699584, 873366, 1047148?\nAnswer: 1220930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 713*t - 2843. Determine k(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 124883 - 392883. What is y rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 6 + 2 = 0. Suppose 4*x - v = 50. Calculate the highest common factor of x and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of o**3 + 5*o. Let m be 3\/(-5) - (-52)\/20. Let g(h) = h**2 - 4 + 4 - 2*h**m. Give g(u(x)).\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 31, 108, 229, 388, 579, 796?\n\"Answer: -l**3 + 28*l**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -22. Let v = -19 + 9. Let i = n + v. Which is the smallest value? (a) -0.1 (b) -5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, z: 5, v: 2}. Give prob of sequence zj.\nAnswer: 25\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66502919?\nAnswer: 7, 2467, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1295, -3009, -5197, -7847, -10947, -14485?\n\"Answer: 2*u**3 - 249*u**2 - 981*u - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158887490.\nAnswer: 2, 5, 15888749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2144*x - 50 - 2143*x + 49. Let n(a) = 5*a**2 + 3. Calculate n(g) + o(g).\nAnswer: 5*g**2 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 5*r + 308 = 0. Let v = 154 + r. Solve -n + 5*n + 5*o = -1, v = 5*n - 4*o - 9 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -46 (b) 3\/7 (c) -2 (d) -17146\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 10) to base 5.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35151*x**5 + 3010*x**2 + 2*x.\nAnswer: 2109060*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, l: 6, z: 1, i: 2, t: 6}. Give prob of sequence tcl.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and -0.549.\nAnswer: -0.749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -1576*u**7\/7 + 599*u**3\/3 + u + 3558. What is the third derivative of q(s) wrt s?\nAnswer: -189120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 11:35 AM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w = -7*w - i + 22 - 2, -24*w - 100 = -22*w - 5*i for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*x = -51*x + 3906. List the prime factors of x.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 6:57 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, u: 4, o: 4, y: 1}. What is prob of sequence uuc?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(3) + -2 + sqrt(3))*-2*-2 + sqrt(3) + (sqrt(3) - sqrt(75))*-6 + sqrt(300) + -2)**2 + -1.\nAnswer: -946*sqrt(3) + 5667","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4*(-2 + sqrt(2)).\nAnswer: -6 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 7) to base 14.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*f = 0. Let q(n) = -n - 7. Let c be q(f). Calculate the least common multiple of 22 and (c + 5)\/(2\/(-22)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 20*x**2 - 22*x - 63. Determine p(-19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -4. Let d be 3\/(o*(-1)\/2). Find the third derivative of 0*k**5 + 2 + d*k**2 - 4*k**5 - 2 wrt k.\nAnswer: -240*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80596 divided by -5.\nAnswer: -80596\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of 3*q**5\/20 - 403*q**4\/4 + 20200*q**3 + 61206*q**2 - 149*q - 4. Let j(v) = 0. Calculate v.\nAnswer: -1, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of 4*y**4 - y - 7. What is the first derivative of o(t) wrt t?\nAnswer: 48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -417775206*q**2 + 1069366316.\nAnswer: -835550412*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1980 - -1404. Let t = j + 809. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24221 divided by -21\nAnswer: -24221\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i + 57. Let a be d(18). Suppose 519 = 3*f - a. List the prime factors of f.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/21 - 222*b\/7 + 1092.\nAnswer: 2*(b - 294)*(b - 39)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 40 = 6*f - 11*f, -4*f + 11 = -p. Is p at most -0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 39*g - 54 = 37*g, -4*v + 60 = -4*g. Solve -v*h = -50*h + 76 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + (7 - 5) + (0 - 0). Suppose 46 = 4*n - q*p, 4*p - 25 = -3*n - 2*n. Solve -2*j = -1 + n for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 43522653247 and -182.3.\nAnswer: 43522653064.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (48\/10)\/((-3)\/(-130)).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 359.39 times -1678\nAnswer: -603056.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2. Suppose -5*o + 135 = -85. Let l(t) = 2*t**2 + o*t - 44*t. Give l(c(w)).\nAnswer: 8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 7:34 AM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 9*z. Let f(v) = 2*v - 5. Let a(x) = 3*x - 8. Let r be (-14 - -17)\/((-6)\/10). Let p(d) = r*a(d) + 8*f(d). Give q(p(u)).\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 11783, 11377, 10963, 10541, 10111, 9673?\n\"Answer: -4*h**2 - 394*h + 12181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n = 78 - 85 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u = -24*u + 30. Let m(n) = u*n + 3*n - 11*n. Let l(a) = 5*a**2. Give m(l(b)).\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/4 - 1730*m - 34625\/4.\nAnswer: (m - 6925)*(m + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xlxy when four letters picked without replacement from yyxxyxyxxxxlyyyxy?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.13 + -66.93. Let s = 67 + h. Which is the closest to 0.1? (a) -2\/15 (b) -2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 9:35 AM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 456.2388 kilometers to centimeters.\nAnswer: 45623880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 317 = 2*o + 3*h, 2 = 2*h. Suppose -3*m - w = -218, -4*m = 5*w - 443 + o. What is the remainder when m is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 7*m**2 + m + 31. Let t be r(-7). Suppose 18*q - 30 = t*q. Let n be (53 + 2 - q) + 2. What is the greatest common divisor of n and 682?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 11 - (0 + 7 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -1893.8465275.\nAnswer: -1893.7465275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + -4 - -6 - 4) + 4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 81c56b + 2?\nAnswer: 81c56d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 368 + -16?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 145*x + 282 + 298 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 16. Suppose -o*f = -0*f - 12. Let h(a) = 3998*a**2 + 9*a - 4. Let b be h(f). What is b rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 81023 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-230)\/(-6) + 2 + 54\/(-162). Solve 7*a + a = l for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -33*n**4 - 59*n**3\/6 + n**2 - 240*n. Find the second derivative of p(y) wrt y.\nAnswer: -792","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -724, -491.\nAnswer: -724, -491, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of w**5\/20 + w**4\/4 - 5*w**3\/6 - 2*w**2 + 112*w. Give t(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 72\/(-168) - ((-1056)\/(-476) - (-1 - -4)). Which is greater: i or -10?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2983 and 18506?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -22*z**2. Let a(k) = -18*k + 14*k + 4 - 4. Give g(a(n)).\nAnswer: -352*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7103.\nAnswer: 7103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10*((-138)\/4)\/(-23) and 265?\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -402 - -417. Calculate the remainder when 1109 is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 240407*x**2 + 240404*x**2 - 1.\nAnswer: -3*x**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -360, -1005, -1650, -2295, -2940?\n\"Answer: -645*a + 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1131259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 124*j + 13 + 132*j - 289*j - 20.\nAnswer: -33*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5950480 less than -5.882?\nAnswer: 5950474.118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -99*p**2 + p. Let g(f) = 46*f**2 + 55*f**2 - 99*f**2. Give g(j(q)).\nAnswer: 19602*q**4 - 396*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.587764um to nanometers.\nAnswer: 587.764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100 + 2424?\nAnswer: 3024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-116)\/16 + 69972\/7056.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 2\/5, 2.56, 2\/7, -0.1?\nAnswer: 2.56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of p**7\/7 - 2*p**3 + 12. Find the third derivative of k(n) wrt n.\nAnswer: 120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.3016768 rounded to one dp?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -3 + (-4 - -7) + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 234 + -199. Let o = 91 - u. Is o a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 15576, 15644, 15758, 15918, 16124, 16376?\n\"Answer: 23*d**2 - d + 15554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20027231 is divided by 2861033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -44*m**3 + 2*m**2 + 11*m + 10. List the prime factors of t(-3).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of 9\/10*o**5 + 0*o - 2*o**2 + 1\/105*o**7 - 3\/20*o**6 + 0*o**3 - 9\/4*o**4 + 0. Factor q(s).\nAnswer: 2*s*(s - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 376 at least as big as 1.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 - -2.5. Let b be (4\/(16\/12))\/5. Let n = -0.09 - 0.41. What is the second biggest value in n, b, z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/18 and -85\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 44*v**2. Let s(x) = 99*x + 4. Let r(l) = -4080*l - 165. Let j(f) = 4*r(f) + 165*s(f). Calculate m(j(c)).\nAnswer: 9900*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d. Let t(m) be the first derivative of 275*m**3\/3 - 4*m + 3287. Calculate r(t(p)).\nAnswer: -550*p**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -29, 346 in descending order.\nAnswer: 346, 5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2 - 2*n + 1. Let g(u) = 3*u**2 - 4*u + 2. Let p(i) = -3*g(i) + 7*s(i). Is p(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 10*f**2 - 799*f + 1597. What is v(2)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -108 + 112. Solve i + t = -l*i - 23, -3*i = 4*t + 24 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t = -271 + 712. Calculate the remainder when 343 is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vucxqxtxxcququxvxu. Give prob of picking 1 t and 1 v.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z + 9. Let h be u(7). Let x be (-6)\/2*h\/15. Let k = x - -1. Solve 4*o + 15 = 4*t - t, k*o = -6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*(n\/(n\/(n*n**(-2\/45))*n))\/n*n)\/n*n)\/((n\/n**(-2\/25))\/n*n*n)*n**(-32)\/(n\/n**(1\/22)))**(-3\/10) assuming n is positive.\nAnswer: n**(168691\/16500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 + -24.9. What is the nearest to q in -3, -0.3, -0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(36))\/sqrt(6)*4*-6)\/((1*sqrt(363) + sqrt(48) + sqrt(48) + sqrt(192))*4).\nAnswer: 4*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y - 8. Let z be k(-4). Let v(q) = 3*q**2 - 4*q - 4. Let a(h) = 4*h**2 - 5*h - 5. Let c(d) = z*a(d) + 5*v(d). Let f(i) = i**2. Determine c(f(n)).\nAnswer: -n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -726*u**3 - 68 - 22*u + 44 + 20 wrt u?\nAnswer: -4356*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + d - 5*z - 21, -31 = -2*d - z. Suppose 0 = 2*g - 169 + 41. Calculate the highest common divisor of d and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 3*u**2 + 310305*u + 310302 = 0.\nAnswer: -103434, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of c**8\/6720 - c**6\/720 + c**4\/4 - 3*c. Let g(t) be the third derivative of k(t). Factor g(q).\nAnswer: q*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/165 - 7\/33. Which is greater: 55 or u?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 n when three letters picked without replacement from {f: 2, n: 2}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1.2 (b) -1 (c) 3 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 8:06 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - t - t)*(-2 + 2 + 2*t) + 3*t**2 - t**2 + t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.0413581*-0.4\nAnswer: 0.01654324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*n**3 + 2147*n**2 - 2147*n**2.\nAnswer: 86*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 112, 208, 266, 268, 196, 32, -242, -644?\n\"Answer: -3*s**3 - s**2 + 120*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 377742, 377544, 377374, 377238, 377142?\nAnswer: 377092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 450\/(-48)*-4*4\/3.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1334 (base 8) in base 7?\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 0. Suppose h*d = -2*d + 20. Suppose 8*s - 69 = -d*c + 4*s, 4*c + 5*s - 57 = 0. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -5*p + 13, -2*w - 2*p + 3*p + 1 = 0. Let m be (w\/4)\/(476\/472 + -1). Let k(y) = -m*y**2 + 8*y**2 + 0*y + 0*y. Let v(c) = 2*c. What is k(v(x))?\nAnswer: -204*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1459b4 (base 12) in base 8?\nAnswer: 1233530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2 + 4490*v + 1008005.\nAnswer: 5*(v + 449)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (2 - 12 - -4) - 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 118103?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 - 3687882*i\/7 - 1580517\/7.\nAnswer: -3*(i + 175613)*(7*i + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**2*m**3 + 6*c**2 + 13905*c*m**3 - 85*c*m + 93*m**3 + 6*m - 1 wrt m?\nAnswer: -12*c**2*m + 83430*c*m + 558*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*b - 2*a, 27*a - 32*a - 19 = -3*b. Put -3\/4, -0.05, 1, b in decreasing order.\nAnswer: 1, -0.05, -3\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5)*p)**(-26) assuming p is positive.\nAnswer: p**104","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (1 - (9 - (3 - 4)))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(6\/2)*(-60)\/(-40). What is the units digit of 246 - (-4*r\/12)\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-3)*k))\/k*k**(-2)*k**(-4)*k\/(k\/((k\/k**6)\/k*k))*k*(k**(-2\/17)\/((k**(1\/5)\/k)\/k))\/(((k\/(k*k**(-6)))\/k)\/k*k**0*k) assuming k is positive.\nAnswer: k**(-962\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gwgw when four letters picked without replacement from ggggwwgggg.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-319)\/(-174) + 9\/(-3).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 2065900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 119*x - 15 = -124*x, -5*g = 2*x - 6. Suppose 3*h = 1 + 2. Sort 3, h, g in increasing order.\nAnswer: g, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17587 divided by 1.\nAnswer: -17587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 106658.52 months?\nAnswer: 88.8821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -9 + 9*h**2 + h - 3 - h**3 + 2. Let s be q(7). Suppose 4*n + s = -2*u + 331, 0 = 2*u - 8. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2 = 4*g + 11, -3*g = -2*c + 1. Solve -2*m + c*w = -26 + 6, -4*w + 12 = 4*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 1\/6*v**5 - 1\/60*v**6 + 4\/3*v**3 - 3 - 2\/3*v**4 - 3\/2*v**2 + 0*v. Let z(n) be the second derivative of r(n). Solve z(s) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142*t**3 - 45*t**3 + 212*t**3.\nAnswer: 309*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -224 + 222 + 21*h**2 - 44*h**2 - 365*h**3 wrt h?\nAnswer: -2190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 951*s - 3183 + 951*s - 27739 - 1904*s.\nAnswer: -2*s - 30922","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (5*(sqrt(396) + 1*sqrt(396)) - (2 + sqrt(396) + sqrt(396)*3))*2.\nAnswer: -4 + 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8984025?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/4)\/(i\/i**(-3\/8))*i*i**(-11)*i\/i**(-23) assuming i is positive.\nAnswer: i**(99\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -4*z**2. Let d(t) = 20*t + 15 - 1 - 6 + 5*t. Let k(n) = -224*n - 70. Let h(q) = -35*d(q) - 4*k(q). Give h(j(s)).\nAnswer: -84*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -q**4\/12 - 5*q**3\/3 - 6*q**2 + 20*q. Let i be v(-8). Suppose 0 = i*b + x - 44, -11 = -2*b - 2*x + 5. Is b bigger than 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-6)\/q**(1\/11))\/(q**(4\/9)\/(q*(q**(-4\/7)*q)\/q)) assuming q is positive.\nAnswer: q**(-4232\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 11*s**2 - 5 - 8 - 31*s**2 + 8 + (3*s - 4*s + 3*s)*(-2*s - 2 + 2) + 2*s - 2*s - 2*s**2 + 2*s**2 - 4*s**2 + 0*s**2 to h + g*s + l*s**2 and give l.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 12:08 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.4 and 10543446725?\nAnswer: 10543446723.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**4 + 2*s**4 + 3*s**4)*(204*s + 149*s + 89*s - 3*s) - 2*s**5 + 0*s**5 + 3*s**5.\nAnswer: 440*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1564, 1560, 1556, 1552, 1548, 1544?\nAnswer: 1540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13 + 25 + 6)*(-4*u + 2*u + 6*u) + 3*u + u - u to i*u + n and give i.\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19219614 is divided by 354.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 3*j + 1. Let f be d(3). Let y be ((-13)\/(-3))\/((-1)\/3). Let q be 6\/(-9)*(-3)\/y. Is q at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 9. Suppose 0 = 5*p + v*m - 9, 0 = 5*p - 2*p + 2*m - 3. Sort -1, 5, p.\nAnswer: -1, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 973*a**2 - 1957*a**2 + 988*a**2.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -n**4\/12 - 17*n**3\/6 - 6*n**2 + 3*n. Let m be 3*74\/(-27) + 6\/27. What is the remainder when z(m) is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, 4, 7, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 415 = -y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13563 and 983862?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 171616000 rounded to the nearest one million?\nAnswer: 172000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 20666705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4168 and 3236152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 53472.1 times 0.2?\nAnswer: 10694.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -4, -65514 in decreasing order.\nAnswer: 18, -4, -65514","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 m, and 1 g when four letters picked without replacement from {g: 9, n: 2, a: 3, m: 1, i: 2}.\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2110.007 millilitres in litres?\nAnswer: 2.110007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 87207453*s*v**2 - 4*s*v + 159*s - v + 2255 wrt v?\nAnswer: 174414906*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 88 + -262\/3. Let p = 52.5 + -52. What is the biggest value in p, 0.3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + -1 + 2 + 0 - -2. Factor 4*k**4 + 2*k**4 + d*k**4 + 2 - 4 - 10*k**3 + 10*k - 6*k**2.\nAnswer: 2*(k - 1)**2*(k + 1)*(4*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 - 845?\nAnswer: -850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f - 3510 = 2650. List the prime factors of f*(1 + 0 + 1)\/(-4).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 116 (b) 6 (c) 1 (d) 29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 162551 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1770, -2140, -2730, -3534, -4546?\nAnswer: -5760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6176 (base 8) in base 15?\nAnswer: -e33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 18*a**2 - 11*a + 79. Is h(-27) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/24 - 46\/(-8). Suppose 20 = m*u - u. Solve 0*t + u = t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*r - 384 - 1011 = -43 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -919*x - 120*x - 91080 = -280*x for x.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o + 23. Let x be y(10). Suppose 4*a - x*a = 4. Solve -a*q - 8 = -2*h, -4 = 2*h - 3*h - 5*q for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - 4. Calculate the common denominator of (-90)\/z*15\/(-6) and -83\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2876947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -6*(5 + sqrt(68) + -2 + 5 + sqrt(68) + (sqrt(68) - 3*sqrt(68)*-3) + 0)**2.\nAnswer: -59132 - 2304*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4 = 4. Let u(m) = -m + 1. Let g be u(-2). Factor -3\/5*o**g - 3\/5 + 3\/5*o + 3\/5*o**b.\nAnswer: -3*(o - 1)**2*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1391375 divided by 5?\nAnswer: 278275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 2:13 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1021 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 518273.4l?\nAnswer: 518273400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220*j - 4012 = -216*j + 5*i, -2*j = -4*i + 1954. Are j and -6956\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2 + 160*j - 1600.\nAnswer: -4*(j - 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**4 - 2*z**4 + z**4)*(-3*z + 3*z - z) + (-z**4 - z**4 + 0*z**4)*(z + z - 3*z) + 2 + 2*z**5 - 2 - 2*z**5 + 2*z**5 + 2*z**5 - 3*z**5 + 3*z**5 - z**5.\nAnswer: 3*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/3 of a minute?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/371908 or 0?\nAnswer: -1\/371908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**3 - 14379*p**2 - 2311384*p - 2297004 = 0.\nAnswer: -158, -1, 14538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of 0 + 31\/20*b**5 + 0*b**2 + 33*b + 0*b**4 + 23\/6*b**3. What is the second derivative of y(u) wrt u?\nAnswer: 186*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37.99 - 37.811. What is the third biggest value in 0.2, x, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**1)**(-36)\/(t**(-2\/5)\/t)**(-10\/13))**(-30))**(-46) assuming t is positive.\nAnswer: t**(-1311000\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0)**(1\/28)\/(((d*d**(-1\/3))\/d*d)\/d**(2\/9)) assuming d is positive.\nAnswer: d**(-4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/532 (b) 3 (c) 1.09 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r - 3*r + 5*r)*(4 - 2 - 3)*(-1 + 1 - r) + (5*r - 3*r + r)*(-r + 0 + 0) - 2 + 2 - 3*r**2.\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of 0 + 0*g**3 - g**2 + 3\/8*g**4 + 0*g. Let q(j) = j**2. Give q(p(v)).\nAnswer: 81*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2170000 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1419784 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.37 - -2.37. Which is the nearest to 1\/6? (a) -1\/5 (b) t (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 39. Let r = g + 17. Calculate the greatest common factor of 18 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 260953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 125751354 to the power of 1\/3, to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 not equal to -62768\/175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(171) - sqrt(171)*1) + sqrt(171))\/sqrt(9).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-414)\/5)\/((-84)\/(-560)). Let a = o + 981. What are the prime factors of a?\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p. Let v(i) = -2*i + 1. Give -3*n(j) + v(j).\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 420 and 31878?\nAnswer: 318780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - a - 8 + 1, a + 1 = -f. Let o(z) = -12*z**3 - 4*z**2 + z + 2. Is o(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 88*q. Let h(p) = p**2 - 261407*p. What is h(g(z))?\nAnswer: 7744*z**2 - 23003816*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*m - 10*m + 2*m + 5*m to the form c*m + a and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20544 is divided by 84\/(-9)*(2\/24 + (-1679)\/438)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -70 - 2\/(3 + -4). Let r be 3\/(-4)*j\/(-85). What is the closest to 3 in -2\/15, r, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -11.47, -0.39, -3\/4?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2346)\/(-153))\/(-23)*(-186)\/(-4)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -220 (base 3) to base 5\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 4*b + 116, 2*p = 3*b + 19 + 42. What is the highest common factor of 52 and p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (22 + -11 - 11)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*a**4 - a**6 - 25*a**2 + 89*a**4 + 56 - 43*a**5 - 51*a**4 - 33*a**4 wrt a.\nAnswer: -120*a**3 - 2580*a**2 - 384*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/(-298))\/(0 - -1). Let i(s) = 33*s - 2111. Let o be i(64). Is z greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0366 + -2.7234. Let y = v - -2.76000523. Round y to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 2. Suppose 3*u - 18 = -3*y - 0*y, -y - 3*u = -14. Let r be s(y). Suppose -v + 0 + r = 0. Solve -v*m + 0 = -2*t - 4, 2*m = -t + 13 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -68, -253, -566, -1007, -1576, -2273, -3098?\n\"Answer: -64*t**2 + 7*t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(570))\/sqrt(10))\/((sqrt(576) - sqrt(36))\/sqrt(12)))**2.\nAnswer: 19\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (7 + -4)) + (-16 - 63) + 27?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a meter in millimeters?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 less than or equal to -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f + 3. Let j(n) = n**2 - 13*n**2 + 6*n**2 + 8*n**2. Calculate b(j(p)).\nAnswer: -2*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 35\/4 - 2\/(-8). Let t(x) = x**2 - 8*x - 4. Let o be t(h). Suppose -2*w = o*v - 51 - 22, -4*w = -v - 91. 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: Is 50512820 a multiple of 385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-15) + ((-17883)\/(-15))\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of 1\/6*k**4 + 1\/6*k**3 + 0*k + 0 + 2*k**2. Is v(5) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (720\/(-432))\/((-60)\/54)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f**2 + 6*f + 3*f**2 + 3*f**2)*(205 - 205 + 103*f**3).\nAnswer: 103*f**5 + 618*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -120 + 189. Let s = x - 48. Calculate the remainder when 80 is divided by s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j - 3. Let n be s(7). Let i = 4 - n. Solve 5*g = 5*y + 30, -3*g - 5*y = -i*g - 2 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j**2 - 19*j - 6. Let b be l(-6). Suppose -3*m + 5*p - 3*p + 1033 = 0, 3*m + 5*p - 998 = b. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 15 = 0, -5*b - 23 + 53 = 5*c. Let g = -48 + 84. Calculate the highest common divisor of g and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 74*s. Suppose 4*i = 9*i. Let w(q) = -26 + 0*q - 3*q + 26 + i*q. Calculate f(w(d)).\nAnswer: -222*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a + 4*l + 45, -2*a = -126*l + 131*l + 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25846627 by -1.\nAnswer: 25846627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*d - 190, d + 683 = 3*f + 121. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8431, 16861, 25287, 33709, 42127, 50541, 58951?\n\"Answer: -2*g**2 + 8436*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -11011 times -0.94\nAnswer: 10350.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -730372*f = h - 730369*f - 3, -10 = 4*h + f for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 87458208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 201340 + -201337. Let h(p) = -6*p**2 + 7*p + 7. Let i(u) be the second derivative of -u**4\/4 + u**3\/2 + 3*u**2\/2 - u. What is n*h(q) - 7*i(q)?\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**19*f\/(f**(-4\/13)\/f)*(f*f**(1\/7)*f*f)**(3\/38))**10 assuming f is positive.\nAnswer: f**(389990\/1729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313066 is divided by 206?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 6 = 5*s, 4*s + 11 = 3. Solve 5*d + 5*i + 35 = 0, -b*i = -5*d + i - 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -134 divided by 2092.\nAnswer: -67\/1046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 + 102 + (17 - 68).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/2*4\/5. Suppose 0 = 2*z + 4*q - n, -8*z + 37 = -3*z + 2*q. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.02 (b) -10\/9 (c) 94\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2*o**5 - 102*o**4 + 884*o**3 - 2688*o**2 + 2624*o = 0?\nAnswer: 0, 2, 4, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2013 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.6262847 minutes?\nAnswer: 37577082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 219 + -187. Suppose -23*p = -b*p + 1746. Round p to the nearest 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j - 1. Let k(r) = -27*r**2 + 41*r - 4. Let p be (4 - 5) + 5 + 0. Let u(t) = p*g(t) - k(t). What is the second derivative of u(i) wrt i?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -2\/136091567?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 3, -2, -3\/434?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 + 2*o - 1 + 173*o**2 - 171*o**2 + 2*o - 2*o + 3*o**2 + (-o**2 + 6*o**2 - 3*o**2)*(1 + 2 - 1) - 4*o + 4*o + o**2 to i*o + h + f*o**2 and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 423388 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*v = 31*v - 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8\/(-6))\/(-1))\/(240\/(-2340)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32670*d**3 + 216*d**2 + 135764420*d wrt d?\nAnswer: 196020*d + 432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 + 45. Solve 5*m = -6 - z for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*9\/(-30) + 320\/(-50).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46500735 to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 40584, 325949, 1100520, 2608899, 5095688?\n\"Answer: 40767*g**3 + g**2 - 7*g - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -4*j**3 + 790*j**2 - 38434*j - 1739. Calculate l(87).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 163 = -4*i + 48, -166 = -3*i - 4*p. Solve i = -47*m + 29*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1209532, -2419053, -3628566, -4838071, -6047568, -7257057?\n\"Answer: 4*m**2 - 1209533*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and -21701.\nAnswer: -21701.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 1.61, -181, 3, -3 in descending order.\nAnswer: 3, 1.61, 0.3, -3, -181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-1))\/(2164\/(-1623))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 5*d - 24, -z = 5*d - 6*z - 30. Solve d*h + 20 = 7*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r**2 + r + 1. Let p be n(-1). Let y be (3\/3)\/(2\/14). Let x be p\/12*y*3. Solve x - 1 = 2*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -15.52. Let u = 0.395 + -0.015. Let l = u + r. What is the nearest to 1 in -1, l, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-7) - 12\/(-42). Let l be 1*1\/(-3 + t). Let v = l - -5. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/3 and (-14425)\/2085 + 28*1\/4.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c - 12*c + 24*c**2 - 9*c**2 - 3*c**3 - 9*c**2 - 9*c**2 as l*c**3 + t*c + f + o*c**2 and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 979 divide 48847193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0*b + 2*r = -4, 3*r + 12 = 0. Suppose 0 = c + 5*y - 120, -4*y - 4 = 8. Let j be c\/(-117) + (-6)\/(-195)*5. Sort b, j, -5 in decreasing order.\nAnswer: j, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 67936 and 3872.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -312?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.21563728 - -17\nAnswer: 16.78436272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 4*f + 18, 3*f + 0*f = 5*a - 7. Let v be (-2436)\/36*(-1)\/a. Let z = -67 - v. Put z, 2, 1\/7 in decreasing order.\nAnswer: 2, z, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2\/125 of a millennium?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1\/8 (b) 3 (c) -554 (d) 48 (e) 0.13 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (1*-27)\/3. Let z = j - -8. Factor -a**2 - a - 7 + z + 8.\nAnswer: -(a - 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - 2. Suppose -2*p + 5*w = 5, 2*p + 3*w = 6*w - 3. Let f be (-3)\/(-1 - p) + -1. Suppose -f*a = 6 - 2. Calculate g(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.56 - 70.56. Let v = -65 - j. Sort 1, v, -2\/3, 0.4 in decreasing order.\nAnswer: v, 1, 0.4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11dc24 (base 14) in base 4?\nAnswer: -2111332120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1082296117 to the nearest integer?\nAnswer: 1027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(250)\/sqrt(5) + sqrt(50))\/(sqrt(10) - sqrt(20)\/(2*sqrt(2)) - sqrt(10)) - sqrt(360)\/(1*sqrt(16)\/sqrt(2))*6)**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - b**4 + (-3*b**3 - b**3 + 2*b**3)*(-b + 3*b - b) + (-4 + 5 - 2)*(0*b**4 - 4*b**4 + 2*b**4) + 14*b**3 - 19*b**4 - 14*b**3.\nAnswer: -20*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 4175 divide 1847617176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 2*c + 2*p = 15, 2*c - 4*p = 6. Suppose -2*x - c*u + 0 - 2 = 0, u = 0. Suppose -5*z = q - 7, 5*q + 11 = z - 6. Which is greater: x or q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2\/9 - 70*s\/9 - 34.\nAnswer: -2*(s + 9)*(2*s + 17)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -23038466 - 584.71\nAnswer: -23039050.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, 72, 206, 394?\nAnswer: 636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 - 2. Solve -x + 2*z = z + 3, 2*z = 5*x + t for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/2*-2*-27. Suppose 4*c + 11 = 5*i, -5*c - 5*i - w = -2. Let o(a) be the third derivative of a**6\/120 + a**5\/15 - 14*a**2 + 3. Give o(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -79 + 78.7. What is the closest to 2 in 1, n, 1\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 6213503260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 - 19 = -27*n - 88 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -68001, -543936, -1835761, -4351422, -8498865, -14686036?\n\"Answer: -67991*q**3 + q**2 - q - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8575 divided by -49.\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -906305, -906135, -905963, -905789, -905613, -905435, -905255?\nAnswer: -905073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 15. Let y = g + -4. Let a(b) = 0*b**3 + y + 6*b - 3*b**2 - 5*b**2 + b**3. What is a(7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**2 + c. Let t(d) = -d**3 + 3*d**2 + 9*d + 7. Let g be t(5). Let n = -11 - -23. Calculate the smallest common multiple of n and z(g).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f + 0 - 4 - 2*f. Let m(j) = 3*j + 4. Let i(d) = -6*m(d) - 5*o(d). What is the derivative of i(k) wrt k?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34410 and 19975930?\nAnswer: 1857761490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 10 - 19. Calculate the lowest common multiple of 3 - 0 - -2 - p and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5518 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-102)\/(-4))\/(6\/(-8)). Let a = -19 - w. Solve 3*j - z = 7*j - 15, 0 = -5*z + a for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376930 rounded to the nearest one thousand?\nAnswer: 377000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 870 = 3*f, 4*r - f + 1151 = 8*r. Is r a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 10*r + 24 + 2*r**2 - 17*r + 0*r**2. Let d be u(4). Suppose v = d + 5. Solve -4*x = x + 4*y - v, -8 = x - 3*y for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -34\/441 (b) 1\/5 (c) -5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 5*j**3 + 62*j**2 - 26*j - 140. Give f(-13).\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + o + 2 + 8 = 0, 4*c = -5*o + 5. Let k = 8 + -6. Suppose 0 = 5*j - v + 5, k*j = 3*j - 2*v + 1. Sort c, j, -3 in ascending order.\nAnswer: c, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25 or 2677\/112?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3*m**3 - 75*m**2 - 336*m + 1764 = 0.\nAnswer: -14, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 6*b**2 + 5*b + 1. Determine v(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -192 divided by 8\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**2 + 48*i. Let f(t) = -12*t**2 + 272*t. Let u(h) = 6*f(h) - 34*y(h). Let z(k) = 7*k - 16. Give z(u(b)).\nAnswer: -28*b**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -286 - 136 - 18 = -20*z. Calculate the remainder when 7169 is divided by z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25248711, -50497409, -75746107, -100994805, -126243503, -151492201?\nAnswer: -176740899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45141 - -13767. Calculate the greatest common divisor of v and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/8)\/((-6)\/(-16)). Let q = 0.108 - 0.008. Let v = -1 + 0. What is the nearest to v in j, 5, q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -9*h + 6. Let k be v(-2). Let p = k + -19. What is p rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 7*d - 2. Suppose d*y - 40 = -3*x, -2*y + 4*y = 4. Suppose 3 + x = 5*w. Solve -w*f - f = -16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13728 divided by -24?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of 2833*a**4\/3 + 5*a**3\/6 + 345*a**2\/2 - a + 9786. What is the second derivative of v(w) wrt w?\nAnswer: 22664","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2162 a factor of 4051981887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m + 3*m - m)*(-25*m - 132 + 132 + (-2 - 6 + 4)*(4*m - m - 4*m)) to u*m**2 + h + p*m and give u.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1168 and 512168.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(171) + sqrt(171))\/sqrt(9) + (2*sqrt(152))\/sqrt(8) + sqrt(19))*-4 - (1*(0 + sqrt(684) + 2 + (sqrt(684) + -1 + sqrt(684) - sqrt(684))*-4))**2.\nAnswer: -6192 + 216*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.04 + 0.013. Let v = 102.1 + -91.547. Let f = b - v. Round f to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 154*s + 10309. What is r(-67)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7 + (-255)\/45 + (-1799)\/(-3). Suppose p*z = 605*z - 4488. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -8*v**2 - 3*v - 8. Calculate f(-3).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/7))**(-44)\/(m\/(m*m*m**(-3)))**(1\/5))**(2\/15) assuming m is positive.\nAnswer: m**(284\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -5*z + 50 + 45, 3*z - 47 = 2*o. Suppose 5*y = -3*h + 17 + z, -3*y - 29 = -2*h. Let v = -44 + 49. Solve -5 = v*l - n, 0 = 2*l - 5*n + 12 + h for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.299 in 0, -3, -1, 4, -3\/16?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is -221 (base 3) in base 6?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 5*q - 12 = 7*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(2\/9)*o)**48\/(o**19*o**13))**30 assuming o is positive.\nAnswer: o**1600","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 1)*(-4*p - 4*p + 5*p)*(2 - 2 + 2) to the form c + w*p and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 637*t. Let b(h) = -h + 330. Let q(y) = -30. Let n(g) = 2*b(g) + 22*q(g). Give d(n(f)).\nAnswer: -1274*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*(11\/33)\/1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -174 - -2?\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + 4)*3 + ((sqrt(304) - sqrt(304)*5) + -2)**2.\nAnswer: 100*sqrt(19) + 4880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1237*z - 1237*z - 94*z**2.\nAnswer: -94*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 5509 and 9.\nAnswer: 5518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/3*4*5\/(-120).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2657)\/9 + 12\/54. Let f = -172 - i. Suppose 3*a - 865 = 5*x, -4*x + 188 = a - f. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -130 - 20. Does 7 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 5 + (2 - (-198)\/(-27)). Let q = -0.06 + 5.06. What is the closest to -0.1 in r, q, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 23 = -4*n, 4 = 3*n - 4*w - 14. Suppose 2*l - 85 = 3*z, 2*z - n*l + 4*l = -70. Let i = 74 + z. Calculate the remainder when 80 is divided by i.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 9:16 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110011000 + -111010010111?\nAnswer: -110011111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 2. Let w(u) = u**2 - u - 5. Let m be w(-6). Suppose 0 = 4*d - 33 + m. Which is the nearest to d? (a) -4 (b) x (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -18 (b) 3 (c) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2, 71 in decreasing order.\nAnswer: 71, 7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -87.7 + 88. Which is the smallest value? (a) 1 (b) -47 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35 + -27 - (3 - 7)) + 3 + 2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 9.559751 nanometers?\nAnswer: 0.000000000009559751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37166403\/10 at most as big as 3716640?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j + 3*k - 6, 1980*k - 1987*k = -3*j - 24 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -26 - 80. Let j(q) be the third derivative of -q**4\/12 + 2*q**3\/3 + 3*q**2. What is the remainder when m is divided by j(-7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x\/(x*x*x*x*x**(-8)))\/x*x))\/x*x*x*((x*x**(-1\/5)*x)\/x)\/x)\/(x\/((x\/(x\/(((x**(2\/9)*x)\/x*x*x)\/x)))\/x))**(1\/64) assuming x is positive.\nAnswer: x**(-9251\/2880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.7 - 17.7. Let q = -13.9 - a. Is -44 at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dwwwwd. Give prob of sequence dwd.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000085 to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u + 10. Give b(9).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -482 divided by 6.\nAnswer: -241\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v - 1. Let y(j) = -4*j - 5. Let x(m) = -3*i(m) + y(m). Let p be -11 + 2 - (-2 + 1). What is the smallest common multiple of x(p) and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 12 + 8*s + 0*s - 73 - 15. Let w be l(10). Suppose -4*k + 3*v + 2*v = 6, -5*k + v = 18. Put w, 2, k in increasing order.\nAnswer: k, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-28)\/(-2))*(-19)\/((-2185)\/161)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 644090 and 3480?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*104766885\nAnswer: 31430065.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 17*j - 10. Let a be z(-18). What is the highest common divisor of 104 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109230.\nAnswer: 2, 3, 5, 11, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*2.07.\nAnswer: 10.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52 - 36. Suppose 0*n + 3*n = 3*w + 3, -4*w - 36 = 4*n. Let q(r) = r**3 + 5*r**2 + 3*r + 17. Let l be q(w). What is the highest common factor of j and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20)\/(-2) - (2 + 69\/9). Let j(s) be the second derivative of 1\/15*s**6 + 0 + 2*s**2 + k*s**3 - 17*s - 1\/2*s**4 - 1\/10*s**5. What is z in j(z) = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, -62 in decreasing order.\nAnswer: 3, -6, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22638 a multiple of 231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + 15*i + 3*i)*(-24 + 16 - 8)*(-2 - 4 + 5).\nAnswer: 336*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2202542*j*k - 6835*j + 173 with respect to k.\nAnswer: -2202542*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -192*f + 35. Suppose -60 = -61*k + 76*k. Is g(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8344222 millilitres to litres.\nAnswer: 0.0008344222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 10*o + 5. Let u(p) = 9*p + 4. Determine -2*g(z) + 3*u(z).\nAnswer: 7*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(120)\/sqrt(3) - sqrt(40)))\/(sqrt(20)\/(sqrt(8)\/sqrt(2))) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(7\/(-3) + 3). Suppose t*x = -x + 980. What is the highest common divisor of x and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-493)\/(-11) + (-6)\/(-33). Let g be 125\/l - 8\/(-36). Suppose -2*i + 7*i + 2*x = 7, 0 = -4*i - g*x. What is the remainder when i is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 1 + 4 - 5 = 0. Suppose -4 - 2 = -a. Solve t*j = 5*j - a for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 738 + -48181796.\nAnswer: -48181058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-4) - (-4)\/2)*-34. Let p = c + 52. What is the second derivative of -18*u**4 - p - 15*u + 2 - 1 wrt u?\nAnswer: -216*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(8\/5))**(-27))**(-2\/121) assuming c is positive.\nAnswer: c**(432\/605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + k**2 - k + 87. Is r(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + p**2 - p + 1. Let c(z) = z**3 + 6*z**2 - 10*z + 6. Calculate c(q) - 6*n(q).\nAnswer: -5*q**3 - 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 19*o = 22*o - 5*o + 131, -4*o = y - 19 for y.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 13*v + 25. Let r be h(-2). Let q(d) = 8*d - 1. Calculate q(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0107432 - 114.9842968. Let y = -115 - u. What is y rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -4 (c) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1072200000 to the nearest 1000000.\nAnswer: 1072000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 6950008 = -2*q, 5*q - 13783594 - 3591414 = -2*w. Suppose -20*s + 25*s = -q. What is s rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(-677)\/(-2) - (-15 + 11). Suppose 5*w = 0, m + 646 = -5*w + 2398. Let a = m + v. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 257554281, 257554286, 257554291, 257554296, 257554301, 257554306?\nAnswer: 257554311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 27 - 11?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -1.1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -g**3\/3 + 192. Let r(f) = -8*f**2. Determine a(r(n)).\nAnswer: -64*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -58 - -51. Let g = 2.3 + -14.3. Let w = d - g. What is the smallest value in w, 0, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 20 = 4*m, 41255*o - 4*m = 41252*o + 34. Factor -1\/2*z**o + 15\/2 - z.\nAnswer: -(z - 3)*(z + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5*c = -1460 + 221, 1236 = 3*q - 4*c. Let x = -232 + q. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 476*v = 117*v + 9334 for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3778 and 16617239.\nAnswer: 16613461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d*w**3 - 16205*d*w**2 + 2*d*w + 32982*d + w wrt w?\nAnswer: -12*d*w - 32410*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 4*m = -b + 87, 0 = -5*b - 4*m - 177. Let w = -31 - b. Solve -3*n + 5*k + 5 = -3, -w*n = -3*k - 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 21889?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 400, 800, 1200, 1600, 2000?\n\"Answer: 400*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -0*x + 5, -4*x = -4*q + 40. Suppose 10 = q*y - 8. Let h be (2\/y - 33)*22\/(-44). Calculate the highest common factor of 80 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, 2, 0, -3184, -5, 43 in decreasing order.\nAnswer: 43, 2, 0, -5, -40, -3184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 176, 312, 450, 590, 732?\n\"Answer: r**2 + 133*r + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.7 - 3.7. What is the closest to -2\/13 in 4, -0.5, a?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -4*f - 12. Let g be k(-4). Suppose 38 = 3*w + 8. Calculate the greatest common factor of g and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u\/u**(3\/5)*u))\/(u\/(u\/u**8)))**(-4))**27 assuming u is positive.\nAnswer: u**(4536\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49.2958 - -8.29656. Let c = r + 41. Round c to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 13 = 3*r, 2*r - 6*s - 22 = -4*s. What is the first derivative of -108*v + 107*v - 41 - 39 - 14 + r*v**2 wrt v?\nAnswer: 12*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18385 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w + 5*l + 14, w = -2*l - 96 + 90 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 30 = -4*w, 0*w - 15 = -w + 3*c. Let r be 3\/6*(6 - w). Which is greater: -1\/60 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7625947 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -4*k + k - 39, -5*x + 98 = -8*k. Find t, given that -10\/3 + 4\/3*t + 1\/6*t**x = 0.\nAnswer: -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17685 or 17690?\nAnswer: 17690","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 783632 = -55*q + 123*q. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 225375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 6, -25, -78, -159, -274, -429?\nAnswer: -630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*c - 400 = -158 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 3*x**2 - x + 2. Let v be c(4). Find the second derivative of v*d**3 - 1 + 0 - 15*d - 17*d**4 + 27*d**4 - 11*d**4 wrt d.\nAnswer: -12*d**2 + 84*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 10*z + 13. Let x be d(-8). Let l be 5\/(2 - x) - (-2)\/(-10). Which is the second biggest value? (a) 0.1 (b) -9 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**2 - 23*n - 9. Determine a(-10).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a\/(a**(-5)\/a*a))\/a*a\/((a*a**(1\/6))\/a))\/(a**(-1\/4))**27*((a**(3\/4)*a)\/a*a*(a**(-5\/6)\/a)\/a*a)**(-9) assuming a is positive.\nAnswer: a**(46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/3)\/(-3*(-2)\/492). Suppose 3*g + 413 = -n. Let w = -117 - g. 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: Suppose -4*o + 5*k + 6891 = 0, 13*k - 11*k - 10 = 0. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -106 - 34. Let i be 2\/(-13) + h\/(-65). Solve i = f - 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -15*c**4\/2 - 19*c**3\/3 + c**2 - 109*c - 8702. What is the second derivative of x(p) wrt p?\nAnswer: -180*p - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -351 or 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -16, -18, -22, -28?\n\"Answer: -r**2 + r - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3*16\/216)\/((-1)\/(-9)). Let c(v) = -5 + 5*v - 9*v**s - 31*v**2 + 35*v**2. Let n(r) = -r**3 + r**2 - r + 1. Give c(m) + 5*n(m).\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -128 (base 13) to base 8.\nAnswer: -313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 30*s**2 - 64*s - 7. Calculate y(-32).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w = 31*w + 16*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**3\/5 - 54061*a**2\/5 + 1704583*a - 336408623\/5 = 0.\nAnswer: 79, 53903","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**5 + 19\/3*t**4 + 0 - 10\/3*t - 9*t**2 + 5*t**3 = 0.\nAnswer: -5, -2, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149 - 184 = 78*k + 135 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4383*s - 3. Let y be a(1). Let r = -473 + y. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 4*g. Let t(z) = -z - 4. Let w be t(0). Let x be h(w). Suppose -r + 6*r - 20 = x. Solve 3*s = 2*u - 2 + 7, 0 = 4*u - r*s for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*4\/(-8)*-1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-196)\/(-2450)*10\/(-22)*-10*3\/6?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, 2, 23, 250, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12433 + 4313?\nAnswer: 22301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**2 - 2*h + 2*h - 2*h**2 + 2*h - 2*h + (-2*h + h + 2*h)*(3*h - h + 0*h) - 3*h**2 - 4*h**2 + 6*h**2 + 5*h**2 + 0*h**2 + 0*h**2.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68093 is divided by 33364?\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 8*v - 22. Is g(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*r - 156 = -169 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 3*o**2 + 5396*o + 102738. Give m(-21).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6980 - 6976. Let w(i) be the third derivative of -13\/3*i**3 + 0*i - 16*i**2 + 1\/8*i**u + 0. What is the derivative of w(h) wrt h?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*b = -m + 12, 4*b + 22 = 2*m. Let n(p) = -2*p**3 - p**2 + 1. What is n(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -20267, -20329, -20391, -20453, -20515, -20577?\n\"Answer: -62*s - 20205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15210787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = w - 2532 + 2526, 0 = -4*w - 3*f + 43 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8\/3, 0.2, 0, 0.7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 3:30 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 126 - 20. Let d = o + -71. Calculate the highest common divisor of d and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27295*c**2 + 27287*c**2 + 27294*c**2 - 136466*c**2 + 27296*c**2 + 27296*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -172.369897 to the nearest integer.\nAnswer: -172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 7:47 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 11:52 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*w + 11 = u - 20*w, 3*u - w = 17 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11 + -16?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3141394 minus -1017568?\nAnswer: -2123826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 254 or 161?\nAnswer: 161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 7:39 AM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - u + 1. Let i(b) = 21*b**2 - 5*b + 5. Suppose 97 = 24*q - 23. Give q*o(f) - i(f).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.96 - 1.1. Let o = n - 2.86. Let p = o - -3.000056. What is p rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -140989980 by 30.\nAnswer: -4699666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by -56.\nAnswer: -15\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*o**6 - 216*o**4 - 3*o**3 - 338*o**2 + 3*o wrt o?\nAnswer: 240*o**3 - 5184*o - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101021 (base 3) to base 4.\nAnswer: 10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87, -97, -119, -159, -223?\nAnswer: -317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 641134, 641100, 641006, 640822, 640518, 640064, 639430?\n\"Answer: -5*d**3 + d + 641138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in 5, -75, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 0.72.\nAnswer: 3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 624 is divided by 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 15*f**2 + 13*f - 121. What is the units digit of r(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -24 + 23 - (-3)\/2. Let x be (-1 - 1)*1*-1. Factor 3\/4*h - 5\/4*h**x + l.\nAnswer: -(h - 1)*(5*h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -589, -554, -497, -412, -293, -134, 71, 328?\n\"Answer: z**3 + 5*z**2 + 13*z - 608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008403519 to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -584*d**3 - 30*d**3 - 2*d + 2*d + 1 to k*d + s*d**3 + a*d**2 + w and give s.\nAnswer: -614","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.67695 rounded to one dp?\nAnswer: 10.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 4 = -0*s + 4*s, -4*o = -4*s - 12. Suppose -4*z = -o*z. Suppose -5*i + 4*a - 4 = z, -3*i = i - 3*a + 3. Solve i = m - 3*m - 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/80*-18)\/(((-182)\/14)\/(-65))?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of s**5\/30 - 31*s**2. Let o(i) = 41*i**2. What is u(o(d))?\nAnswer: 3362*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 612*q - 144 = 594*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**2 + 70*y - 72. Calculate l(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 7308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (13 + (-25 - -6) - 28)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -184*u + 192. Determine m(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -88*(9\/3 - 4). What is the greatest common divisor of n and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1511206853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 245937\/146*(-2 - 32\/(-6)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3\/5, -0.2, 112.6355, 0.2 in increasing order.\nAnswer: -0.2, 0.2, 3\/5, 4, 112.6355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -857, -3, -4, -19 in ascending order.\nAnswer: -857, -19, -5, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 5*x. Let v(f) = 7*f**2 + f - 1. Let j be v(1). Let l be w(j). Solve -l = 2*c - 4*a, -1 = 5*c - c + a for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213510.7ml to litres.\nAnswer: 213.5107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by -916?\nAnswer: 11\/916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 350 and 77?\nAnswer: 3850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.09 in -1\/26, -0.2, -18.798?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xoxxox. What is prob of sequence xxo?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 2*u. Suppose -r = -4, -2*g - 212 = -r - u*r. Let a = 156 + g. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 7 + (14 - 20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5, 2, 91\/4, -2\/117, -1\/7, 0.4?\nAnswer: 91\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i = -15*i + 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 5*i - 4, -4*d - i + 24 = 0. Let m = -6 + d. Is m < -3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*3*4\/18. Let b be o\/(-6) + (-14)\/30. Let y = 198 + -1780\/9. Put 4\/5, b, y in decreasing order.\nAnswer: 4\/5, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12835398?\nAnswer: 2, 3, 2139233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42 + -99. Let o = v - -69. Is 6 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -0.1. Suppose 981 - 949 = -8*h. What is the second biggest value in 1, o, h, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 3:25 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (119 - 172) + (110 - 17)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 87666840 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8 - 10 - (-30)\/14 - 91\/(-49). Suppose 2*q + 3 = 3. Solve k*b = 4*s - 0*b + 6, q = -s - 2*b - 14 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 32343404, 64686807, 97030210, 129373613?\n\"Answer: 32343403*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001 (base 3) to base 14.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3458 > -3460?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, t: 1, i: 1, l: 1, q: 1}. What is prob of picking 1 l and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/13, 5\/2, 2\/5, 0, -21, -586, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-40)\/(-18) + 4\/(-2). Let a be 51\/(-63) - 2\/(-3). What is the third biggest value in w, a, 2\/11?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.39427054 take away 3?\nAnswer: -3.39427054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9.3 - 1.7. Let k = m - 2. Let i = k + 16. Which is the second smallest value? (a) 2 (b) -0.4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z = -4*h - 17*z + 3411, 0 = 2*h - 2*z - 1710. What is the highest common factor of h and 122?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 12. Let v(x) = -x - 2. Let g be v(w). Suppose 4*o + o - 603 = -4*z, g*z = -o + 309. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**5 - 883*h**4\/2 + 3801*h**3\/2 - 5387*h**2\/2 + 2923*h\/2 - 225 = 0 for h.\nAnswer: -225, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -3*i + 9, 9*i - 4*i = 2*n + 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 122837553791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyttytytytfyttyftty. Give prob of sequence yf.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 136*r - 222 with respect to r.\nAnswer: 136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5.5*308.4\nAnswer: -1696.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21728?\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v + v - 4*v)*((-2 + 5 - 2)*(4 - 2 + 0) - 13 + 2 - 1) + (-6 - 17 + 5)*(2*v - 3*v + 4*v + (-4 + 4 + 2)*(1 - 1 - v)).\nAnswer: -38*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 946 and 6966?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -g**3\/6 - g. Let q be j(3). Let k = q + 7. Which is the second biggest value? (a) k (b) -0.4 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/4)\/((-10)\/1800). Suppose 4*z - 155 = -3*o, -3*z - k = -5*o + 178. Calculate the remainder when o is divided by 26 + (1\/1 - 0).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 129 - 126. Calculate the smallest common multiple of 9 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 395 - 400. Let b = -0.13 + 0.13. Which is greater: b or t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -967*x - 2848. Let s be w(-3). Solve -s*g + 56*g = -6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114176?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 690547985 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6698 times 96?\nAnswer: 64.3008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 556365439 is divided by 3826.\nAnswer: 3823","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a hour in seconds?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(-4*b**4 + b**4 - 4*b**4).\nAnswer: 14*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 601 + -a98b?\nAnswer: -a38a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 53652 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -6, -1\/4, 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -144 + 149. Suppose 0 = 11*k - 230 - 265. Solve -k = -n*v - 4*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18882 + -13827. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 + -30.2. Let n = -3 - z. Suppose -8 + 36 = 5*k + h, -4 = 2*h. Sort 4, k, n in decreasing order.\nAnswer: k, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58970, -59064, -59162, -59264, -59370, -59480?\nAnswer: -59594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/1 + 11 - -2. Let r = 19 - 29. Let o = u + r. Sort 1, 5, o.\nAnswer: 1, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*x**2 - 10*x**2 + 14*x**2)*(4*x + 2*x + 0*x)*(-x + 0*x + 4*x).\nAnswer: -378*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.4109729 rounded to one decimal place?\nAnswer: -38.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**3 + 7*n**2 - 4*n + 4. Let v(l) = -3*l**3 + 12*l**2 - 7*l + 7. Let q(o) = o + 8. Let y be q(-5). Let w(r) = y*v(r) - 5*z(r). What is w(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z**3 - 3*z**4 - 2*z**3)*(129 - 219 - 160) to u*z + c*z**2 + j*z**3 + y*z**4 + s and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7578 divided by 148141?\nAnswer: 7578\/148141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 5, 1, 163374, -2.\nAnswer: -2, 1, 5, 8, 163374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - 27) + 35 - (-39 - (1 + 0)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -41 + -12?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 219068 + 3*r**2 - 12*r**2 - 219068.\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21485*a + 220086 = 2411556 for a.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (260\/(-25))\/(-13)*(1 + 9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-30)\/(-4)*(-348)\/(-15). Let q = -121 + m. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (-48)\/(-5) + (-2)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -2*x + 79, 4*g + 43 = -33*x + 77 + 39 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 174 + -167.99. Let m = x + -1.01. Which is the smallest value? (a) m (b) 4 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18109928 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 57, 101, 141, 165, 161?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*k**3*q**2 + 2*k**3 - 5014*q**5 - 6*q - 200 wrt q?\nAnswer: -6*k**3 - 100280*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**5\/60 + 9*n**3\/2 + 2*n**2. What is the tens digit of o(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 minus -11868775?\nAnswer: 11868774.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 36630\/2820)*(3 + (-26)\/6)*-3?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dhdyyduyccys. Give prob of sequence ys.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-2))\/((-1)\/17). Let b = 0 - f. What is the remainder when b is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*c*y**3 - 28*c*y - 2*c - 1761*y**3 - 4*y wrt y.\nAnswer: -18*c*y - 10566*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + 353.\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 283*k + 293*k + 310*k + 291*k + 13*k**2 + 291*k - 1471*k.\nAnswer: 13*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 4\/3, -1\/27, -3\/7, -1.\nAnswer: -1, -3\/4, -3\/7, -1\/27, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 48744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-12))\/(1\/(-4)). Let u = f + 1. Suppose v - 3 = -2*m, -m = -u*m + 3*v + 19. Solve -m*t - 2*s + 3*s = -7, -t = 5*s - 28 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 262788*o**2. Let w(m) = -m. Calculate w(g(d)).\nAnswer: -262788*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-26)\/(-7) + -4 + (-4)\/(-210). Let a(y) = -35*y**3 + 2*y**2 + y - 1. Let r be a(-1). Let k be (-7)\/5 - (-14)\/r. Which is smaller: k or t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4057, -1, -24 in ascending order.\nAnswer: -4057, -24, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 290 and 252440.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -1, -60, -4 in descending order.\nAnswer: -1\/4, -1, -4, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 15.3. Let p = 0.04 + -3.04. Let t = p - -3.1. Which is smaller: j or t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - g + 0)*(-g**3 + 4*g**3 - g**3) + 15*g**4 - 15*g**4 + 16*g**4 + 2 - 2*g**4 - 2.\nAnswer: 12*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 451897 is divided by 58.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {e: 8, d: 5}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 26*c**2 + 70*c - 110. Let d(u) = -51*u**2 - 116*u + 221. Give -3*d(n) - 5*y(n).\nAnswer: 23*n**2 - 2*n - 113","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -w**2 + w - 1. Let y be 2\/(-1*(0 - -2)). Let t be x(y). Solve -2*z + 22 = -t*s + 8, 3*z = 4*s + 19 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -1. Let n = -3.92 + -0.08. What is the nearest to 0 in 5, s, n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40 (base 10) to base 4.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6258944, -12517879, -18776814?\n\"Answer: -6258935*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**2 + 3 - 2 - 30*j + 30*j in the form u*j + c*j**2 + z and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**(1\/17))**24)**(33\/5))**(4\/35))**(3\/11) assuming p is positive.\nAnswer: p**(864\/2975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.324 times 5.1?\nAnswer: 1.6524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31 - 21. Suppose r = 3*i + 2*i. Suppose 0 = -i*n - n + 27. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 26*a**2 - 350*a + 11. Calculate x(-10).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 26, 78, 134, 194, 258, 326, 398?\n\"Answer: 2*j**2 + 46*j - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = i + 6, 6*y - 20 = y - 5*i. Let k(n) = 10*n**2 + 12*n - 15. What is the tens digit of k(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -53*r. Let w(c) = 136080*c. Give t(w(f)).\nAnswer: -7212240*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -30458 (base 9) to base 11\nAnswer: -14087","meta":{"dup_signals":{},"source":"numbers__base_conversion_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 the lowest common multiple of 48433 and 111?\nAnswer: 145299","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 1099*l - 9867. Calculate m(9).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 0. Let i = 15.89 + -16. Let z = i - -0.31. Which is the nearest to 0? (a) z (b) t (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 3 (c) 0.9 (d) -3 (e) 59 (f) -7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 364*q + 3208*q + 461*q - 57*q + (0*q + 2*q - q)*(1 + 2 - 2) - 2*q - 3 + 3.\nAnswer: 3975*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of -2*l**5\/5 + 67*l**2. Let n(k) = -3*k**2. Give y(n(i)).\nAnswer: -216*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -5\/3*s**6 + 0*s**4 + 0*s**5 + 0*s**3 - 5 + 0*s + 22*s**2. Find the second derivative of m(z) wrt z.\nAnswer: -200*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -8*j - 1. Let p(n) = 9*n**2 - 10. Let f(v) = 5 - 184*v + 184*v - 4*v**2 + 5 - 6. Let b(y) = -5*f(y) - 2*p(y). Give w(b(i)).\nAnswer: -16*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.4 (b) -0.5 (c) 129 (d) -2130\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -625, -1244, -1861, -2476, -3089, -3700, -4309?\n\"Answer: h**2 - 622*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (85\/(-40)*1020\/(-4335))\/(93\/(-90) - -1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/12325 = -579?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 326*v**2 + 11*v - 49. What are the prime factors of c(4)?\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -55 - 2*a + 10 - 2*a**2 + 0*a + (-8 + 9*a + 8)*(1 - 2*a - 1).\nAnswer: -20*a**2 - 2*a - 45","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1066 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/6 - 125\/(-75). What are the prime factors of 9\/45 - -594*d\/(-5)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -294 + 300. Suppose 4*w = 3*t + 10, -5*w + 14 = 3*t - 12. Solve 5*c - p = 3*p + r, t*c - 6 = -2*p for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 5*z - 4. Let n(s) = -2*s**3 + 9*s**2 + 7*s - 15. Let g be n(5). What is b(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 1. Let t(u) = -u**3 + 3*u**2 + 7*u. Let b(p) = 4*g(p) - t(p). Let x be b(-6). Let a = x + 198. Is 16 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -m**5\/60 + m**4\/8 + 5*m**3\/6 + 77*m**2. Give j(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 + (-2 - -3 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + t - 3)*(-2*t - 256 + 7*t - 3*t)*(8*t**3 + 3 - 3).\nAnswer: 16*t**5 - 2048*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 6*d + 2*d - 2 = 0, -2*w - 4*d - 4 = 0. Let a be w\/3 - 34\/(-6). Suppose -3*z + 199 = 4*m, -a*z = -2*m + 5*m - 152. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -550*w + 164455. Give q(299).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6 - (-140)\/24) + (12 - 910\/84). Let v(g) be the first derivative of g**2 - 9*g + 2. Let r be v(7). Put -6, a, r, 2 in descending order.\nAnswer: r, 2, a, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.1 + -4. What is g rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -743\/24? (a) -0.3 (b) -2\/17 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of 2*z**3\/3 - 6*z**2 + 4*z. Let c be l(8). Suppose -u = 4*u - c. Solve u*r + 30 = -5*k, 0 = -2*k + r + 4*r + 21 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3 + 1020*m**2 + 1024*m.\nAnswer: -4*m*(m - 256)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 7*i - 35. Let d be f(-8). Solve -d = 6*u + 11*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 15*z**2 + 28*z + 33. Give h(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + -4 + -14 + 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 2*l**5\/5 - 17*l**4\/2 - 10*l**3\/3 - 3*l + 34. What is the third derivative of k(a) wrt a?\nAnswer: 48*a - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**4 - 18331*g**2*h**2 + 39*g*h - 1659*h**2 wrt g.\nAnswer: -24*g**2 - 36662*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16 - -5720331?\nAnswer: 5720347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d - 153 + 97 = 0 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13155 + -13148. Which is the biggest value? (a) -78 (b) -0.02 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*w + 200*w - 254 = 98 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*y + 0 + (1 + 4 - 3)*(5*y - 4*y - 3*y) + 4*y + 2*y - 3*y - 30179 + 15093 - 2122*y + 15086.\nAnswer: -2121*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2469471 is divided by 1269?\nAnswer: 1266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 18*l + 32*l - 126 = 0, -4*p - 27 = -3*l for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1479 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 341 = -5*m + 107*i, -270*i + 274*i = 5*m + 32 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 237, 244, 267, 312, 385?\n\"Answer: f**3 + 2*f**2 - 6*f + 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 7400*j - 109. Is w(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of a**7\/42 - 2*a**6\/15 + 7*a**4\/6 - 17*a**3\/6 + 3*a**2 + 22*a + 5. Factor z(m).\nAnswer: (m - 3)*(m - 1)**3*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (30\/9)\/(52\/78). Suppose w = -g*j + 6*j + 39, 2*j - 4 = 0. What is the remainder when 367 is divided by w?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11729410.\nAnswer: 2, 5, 7, 11, 15233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1459900 rounded to the nearest ten thousand?\nAnswer: 1460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 219647*h**2. Let t(u) = u + 66. Determine t(c(g)).\nAnswer: 219647*g**2 + 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 4 (b) 0.5 (c) -3 (d) -5\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 144 (c) 1 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 4, 4*u + q = 3*q + 40. Suppose 6*s - 3659 = -4*o + u*s, 2*s = 3*o - 2743. What are the prime factors of o?\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -7*g + 13*g - y, 0 = -2*g + 5*y + 50. Solve -25*c + 20 = -g*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of c**6\/120 - c**5\/60 - c**4\/12 + 5*c**2. Suppose 5*l = 2*u + 8, 0*l - l - 4*u + 6 = 0. Let f be q(l). Solve w + f*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 10*k + 10. Let w be q(9). Let r(m) = m**3 + m**2 + 4. Let n be r(0). Let h(a) = n + 1 - 4 + 6*a. Calculate h(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1202*r**4 + 143*r**2 + 2*r**5 + 5703*r**2 + 2685*r**4 wrt r.\nAnswer: 120*r**2 + 93288*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 39, 92, 147, 204, 263?\n\"Answer: m**2 + 50*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5808799 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2*sqrt(6)\/(sqrt(14)\/(sqrt(7)*2)) - ((-4*(sqrt(3) - sqrt(48)) - (sqrt(27) + -2*sqrt(27))\/sqrt(9)) + 0)).\nAnswer: 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 92 = 4*x. Let s = 45 - 29. Let c = x - s. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.21 times 1.947\nAnswer: -0.40887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-3))\/((-22)\/66). Let o = -3 + 2. Is a less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11.62 + 11.6202302. Round x to 6 dps.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/(-6) - (1 - 48). Suppose 0 = 121*p - 116*p + d. Let n(b) = -b**3 - 8*b**2 + 9*b + 4. Determine n(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) - (sqrt(2304) + sqrt(2304)*1))\/(sqrt(96)\/(sqrt(8) + sqrt(48)\/sqrt(6))).\nAnswer: -30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2\/(a\/(a**(2\/7)*a)))**(1\/7) assuming a is positive.\nAnswer: a**(16\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 197\/570240 and 89\/196020.\nAnswer: 6272640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (-39 - -29) + 3 + 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -94*b**2 + 1037*b + 22 - 8*b**3 - 2133*b + 1032*b.\nAnswer: -2*(b + 1)*(b + 11)*(4*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101 - (13 + -240 + 121).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2166249, 3 in decreasing order.\nAnswer: 2166249, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*s + 26*s - 5*k - 28466 = 0, -21350 = -3*s + 4*k. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 4*d - d = -2*d - 10, 0 = 5*d for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/78 and -79\/8494668?\nAnswer: 8494668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-17 - 733238\/110)\/(((-2)\/(-5))\/(-1)).\nAnswer: 3, 5569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o - 4227*o**3 + o + 4218*o**3.\nAnswer: -9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4314300 (base 5) to base 8.\nAnswer: -216563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-nine quarters of a tonne?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 7*k - 2. Let b be n(0). Let x(o) = 3*o**3 + 3*o**2 + 2*o - 1. Determine x(b).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2087291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*w + 1. Suppose -5*z + w*y = -z + 8, 2*y = -3*z + 8. Suppose l + 0 + 3*l**2 + 2*l + z = 0. What is l?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u + 5*k - 29, 1284*k - 1 = -u + 1289*k for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 9*v - 11. Let n be q(-10). Suppose 2*i + 24 = -y + n, -5 = -i. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**3 + 21*a**2 - 2*a + 67. Give s(-11).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 22 = 2*q, -q + 76 = 3*q - 4*y. Suppose r - 8*v = -4*v + 21, 0 = r + 5*v + q. Is 2 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74 - 39. Suppose 2*i = 2 + 6. Suppose -l + i*d = l - 32, -3*d = 3. Calculate the highest common divisor of t and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1184 - -2325\/2. Let g = -194\/49 + -6721\/196. Let p = -37 - g. What is the common denominator of p and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30328678*c**2*w**3 + 2*c**2*w + 3*c**2 + 17*w + 16876 wrt w.\nAnswer: 181972068*c**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**2*o**4*r - 18*c**2*o*r - 444*c*o**4 + 2*o**2*r wrt o.\nAnswer: 48*c**2*o*r - 10656*c*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2391*n - 2393*n + 95*n**2 - 202*n**2.\nAnswer: -107*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -351 (base 9) in base 13?\nAnswer: -193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2023*g - 1294714. Calculate n(640).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*l + 20 = 0, -4*l + 1 = -m - 14. Suppose -i = -x - 49, 0 = -2*x + 7*x + 20. Calculate the highest common divisor of i and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**2 - 3*y**2 + y**2 + (2*y**2 - 2*y**2 + y**2)*(-3 - 2 + 2) + 2*y**2 + y**2 - 2*y**2 - 2*y - 7 + 1 + y**2 + 8.\nAnswer: -2*y**2 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1444 take away -0.05235470923?\nAnswer: -1443.94764529077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t - t - 2*t)*(-17 + 4 - 4).\nAnswer: -34*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37528.\nAnswer: 2, 4691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -1, -1.1, -23, 4, -10\/97 in ascending order.\nAnswer: -23, -1.1, -1, -2\/7, -10\/97, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.062 - 246.938. What is the closest to 1\/7 in b, -0.4, 0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 560\/(-980)*14\/(-24)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k**7\/252 + k**5\/40 + 3*k**4\/4 - 3*k. Let n(z) be the third derivative of f(z). Differentiate n(v) with respect to v.\nAnswer: -20*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 35884.\nAnswer: 179420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 371549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -42*r + 8 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-17)\/(-1 - (-8)\/6). Let t = m + 58. Solve 5*h - 2*l = 1 - t, -12 = 2*h - 4*l for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52640 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21.6 + -23.6. Let y = -653\/6 - -109. What is the second biggest value in d, -0.06, 0, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251.584 nanograms in grams?\nAnswer: 0.000000251584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11675508?\nAnswer: 2, 3, 13, 74843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -2\/1879, 9 in descending order.\nAnswer: 9, -2\/1879, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199 is divided by 72.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9415*u = -10*r - 9413*u - 0 - 0, -4*r - 12 - 2 = 2*u for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + -1 + 0 + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 51277\nAnswer: -2\/51277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-52)\/(-65))\/((-2)\/(-125)). Let c = -65 + m. Let s be ((-10)\/c)\/(20\/(-24)). Is s less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -0.2, 0.2, 1, 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -9884+-185567\nAnswer: -195451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 + 62888*i - 247181284.\nAnswer: -4*(i - 7861)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/13, 1\/14, 0, 2, 3, 82 in increasing order.\nAnswer: 0, 1\/14, 1\/13, 2, 3, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5641.194ml?\nAnswer: 5.641194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84248.\nAnswer: 2, 10531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of s**7\/21 - s**6\/15 - 6*s**5\/5 + 1832*s. Determine y so that c(y) = 0.\nAnswer: -3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16122 (base 10) to base 14\nAnswer: 5c38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 - 0.4. Let p = u - -0.6. Let f = p - 0.4. Which is bigger: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/5 > -3746?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of o**2\/2 + 2*o - 3. Let w be x(3). Suppose 0 = 5*y, -6 = -3*q - w*y - 0*y. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.00965 or 5123?\nAnswer: 5123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12049.59 and 0.08.\nAnswer: -12049.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 26*w - 114. Let p be q(13). Let c(x) = -p*x - 32*x + 143*x - 34*x. Let h(f) = -f. Determine c(h(m)).\nAnswer: -22*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (331*2)\/((-40)\/(-12)). Let m = 1869\/10 - y. Find the common denominator of -41\/10 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 20. Let w = x - 10. Suppose 65 = -f + w*f. What is the remainder when 36 is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140709 divided by -3.\nAnswer: -46903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 443*l = -14499 + 10512 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 146987630 to the nearest ten thousand.\nAnswer: 146990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = v + 5. Which is smaller: v or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3936779, -1, -3, 6, -4 in decreasing order.\nAnswer: 6, -1, -3, -4, -3936779","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.028621 rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 3. Let g be ((t\/9)\/(-1))\/(-1). Let j(d) = -d**3 + 7*d**2 - 3*d + 25. Let z be j(7). Which is the nearest to 2\/9? (a) -0.4 (b) z (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, -1\/6, -1\/3, -0.5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02077 rounded to three decimal places?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, q: 2, v: 4}. Give prob of picking 2 v and 1 i.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -10.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 39 = 2*r + 48, -940*r = -2*i - 937*r + 10 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7310?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -1\/3*k**3 - 2\/3*k**4 + k + 0 + 0*k**2. Factor x(f).\nAnswer: -2*f*(4*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (124\/(-8) + 4 - -1)*4000. Round q to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -60*g*j*p**2 - g*j - 149*g*p - j*p**2 + 3*p**2 wrt p.\nAnswer: -120*g*j - 2*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 33*z**4\/4 - 20*z - 73. Differentiate d(p) with respect to p.\nAnswer: 99*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 9:29 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/1028 and -47\/16908?\nAnswer: 4345356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**5 + 84*b**4 + 234*b**3 + 228*b**2 + 75*b.\nAnswer: 3*b*(b + 1)**3*(b + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**2 - 15626*r - 61042969 = 0.\nAnswer: -7813","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -6*d**3 + 16*d + 15. Let t be o(-1). Suppose 0 = i + i - 6. Let b be t\/i - (-20)\/(-12). Put -1, -0.7, 3\/4, b in ascending order.\nAnswer: -1, -0.7, b, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159 = -3*b - 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -60 - 9. Let u = -208\/3 - i. What is the closest to 0.02 in u, -0.4, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 12) in base 7?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74299 = 4079*y - 219389 for y.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 7*b**2 - 7*b - 6. Let c be (2 - 18\/4)*12\/(-6). Suppose -2*t - 3*z - 2*z = -3, -33 = 3*t - c*z. Give n(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(5) + sqrt(20) + sqrt(120)\/sqrt(6)) + sqrt(405)*2 + 1)*4)**2.\nAnswer: 256*sqrt(5) + 5136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 239 + -933\/4. What is the common denominator of 79\/14 and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2448) + 0 + 5 + 2 - (-1 + sqrt(68) - (sqrt(357)\/sqrt(7) + sqrt(51) - sqrt(51))\/sqrt(3)).\nAnswer: 8 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of i**6\/180 + 5*i**4\/24 + 2*i**2. Let t(l) be the second derivative of o(l). Let h(c) = 0 + 3 - 3 - 2*c. Determine h(t(j)).\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 80*b**4 - 3*b**2 - b + 7. Let n(v) = -79*v**4 + 4*v**2 + v - 8. Let y(i) = 3*n(i) + 4*w(i). Find the second derivative of y(k) wrt k.\nAnswer: 996*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -2) + 1 - (45 + -39).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 + 5 - 8)\/(2\/6). Suppose o*k - 11 = -g - 28, -4*g + 10 = -k. Let q be (-30)\/56 + 4\/14. Put 2, 0.3, k, q in decreasing order.\nAnswer: 2, 0.3, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199967429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r - 9. Let f be s(-1). Suppose -v = -8 - 10. What is the units digit of v*31*4*(-1)\/f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/20805148 and 89\/511602.\nAnswer: 62415444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 8:15 AM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 520 is divided by 255.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 622.8055m to micrometers.\nAnswer: 622805500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 35147702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**2 + b - 8*b**2 + 14*b**2 to the form l + t*b + i*b**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 272 - 240. Suppose a = 7*z - 6*z. What is the remainder when z is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 8*v**2 - 6*v + 46. Let p(f) = f**2 + f. Let m = 123 - 124. Let g(x) = m*i(x) + 4*p(x). What is the first derivative of g(l) wrt l?\nAnswer: -8*l + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -49.2 at most as big as 0.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3 = -4*a + 3, 2*z + 5*a - 12 = 0. What is the remainder when 19 is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + n = -13, -3*n = u + 4*u - 1. Suppose b + 24 = 4*l, 0 = -l - u*b + 14 + 1. Calculate the common denominator of 79\/8 and (-4)\/l - 2600\/(-336).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**3 - 2*h + 6*h**3 + 15*h**2 + 13*h - h = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -9. Let r be q + (-5)\/((-10)\/(-4)). Is -2\/3 bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 17169 and 464704527.\nAnswer: 464721696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001145 rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1651093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/5 and -58\/9519651.\nAnswer: 47598255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) 2 (c) 6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6632, 6641, 6650?\nAnswer: 6659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.602844385 to 3 dps.\nAnswer: 3.603","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -3)\/(1*(-2 + 3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 201 and -1293.\nAnswer: -259893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 704583528 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -73, -111, -111, -67, 27?\n\"Answer: k**3 + 13*k**2 - 84*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -102?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 375781349.59 plus 0.4?\nAnswer: 375781349.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yub when three letters picked without replacement from {o: 2, u: 4, n: 1, y: 3, i: 7, b: 1}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -2\/21, 3\/4, -3, -8 in decreasing order.\nAnswer: 3\/4, 0.5, -2\/21, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 792 and 36756036?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + -20*(1254\/44 + -30).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 115*g*u**5 + g*u**3 - g*u**2 - 619*g*u wrt u.\nAnswer: 6900*g*u**2 + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d + 3*d - 3*d + 1 + d - 1 + (6 + 1 - 1)*(-2*d + 4*d - d) - 4 + 8*d + 4 to o*d + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + -2. Let w = d + 6. Suppose 5*g - 155 = -5*o, g + o - 41 = -w*o. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 2*b - 24 = 0. Suppose -4*x = u + 63, b*x + 33 = 4*x - u. Let s(g) = -5*g + 14. Is s(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by -4910\nAnswer: -11\/4910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 32*k**2 + 3 - 35*k**2.\nAnswer: -3*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h + 5*b - 167 = -192, 2*h + 16 = 2*b for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j + 26. Let c be k(0). Suppose 0 = 3*n - 15, 3*b - c = -n - 9. Suppose -b*x + 4*o = o - 139, 68 = 2*x - 2*o. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 743 is divided by 264?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v**4 + 4*v**4 - 607 + 2*v**2 - v**4 + 613 - 2*v**3 + v to the form g*v**3 + j*v + f*v**2 + p + h*v**4 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 9*b + 111. Let z(i) = -544*i - 6808. Let w(u) = 368*l(u) + 6*z(u). Let k(p) = -1. Let s(v) = 3*v + 3. Let n(a) = 3*k(a) + s(a). Calculate w(n(f)).\nAnswer: 144*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*s + 0*s + 15*s**2 - 13*s**2 + 42 - 6*s.\nAnswer: 2*s**2 + 21*s + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 q when three letters picked without replacement from uuwqtguqutuuuuutqgu.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 3. Let j(w) = 17*w**2 - w + 1. Let y be j(3). Suppose 4*n - 3*h - 305 = 2*h, 3*h + y = 2*n. What is the highest common factor of u and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 4*r**2 - 4*r + 2. Let b be n(2). Let c = -27 + 27. Let w(a) = -a - 1. Let s be w(4). Sort s, c, b.\nAnswer: s, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.4 - 6. Let c = -1.32 + -3.68. Put n, c, 5 in descending order.\nAnswer: 5, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 6:02 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 56*h**2 - 3*h + 4. Is 28 a factor of z(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 4. Suppose 3*v = -2*w + 13405394, w + v - u*v - 6702707 = 0. Suppose 0 = -2*f + w - 29902703. What is f rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -87, -103, -145, -225, -355, -547, -813?\n\"Answer: -2*h**3 - h**2 + h - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v + 28*v**3 - 14*v**2 - 93*v**3 + 16*v**2 + 1. Let b(d) = d**3 - 6*d**2 + 7*d - 11. Let u be b(5). What is the tens digit of g(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/5)\/(i*i\/((i\/(i\/i**(-4)))\/i)))**(20\/3) assuming i is positive.\nAnswer: i**(-136\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 7*y. Suppose -n + 0*n = y. Which is the closest to n? (a) -2\/3 (b) -3 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37945207 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2\/7*r**5 + 1296*r - 2070\/7*r**2 - 1512 - 58\/7*r**3 + 38\/7*r**4 = 0?\nAnswer: -14, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w + 2. Let r(m) = -m + 3. Let k(v) = 38*v + 1. Let b be k(1). Suppose -2*h - 3*a + 0 = 3, 4*h - 3*a = b. Let s be r(h). Determine n(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 7:48 AM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 101551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -28, 5, -9, -4 in decreasing order.\nAnswer: 5, 1, -4, -9, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -10363292 to the nearest 10000.\nAnswer: -10360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**5 + 6*w**5 - 3*w**5 + 2571*w**4 - 294*w**5 - 2571*w**4 + (-3*w**3 + 3 - 3)*(w**2 + 1 - 1) + w**5 - 2*w**5 + 2*w**5.\nAnswer: -297*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15083 is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + -126933.224023\nAnswer: -126932.924023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y - 17. Let d(g) = 1. Suppose -16 + 12 = -4*h. Let n(i) = h*r(i) + 6*d(i). Let p be n(-5). Solve -4*m = p*u, 11 = 3*m - 4*u - 24 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2 + 2*c. Let g(h) = -33*h**2. Give l(g(r)).\nAnswer: 2178*r**4 - 66*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 * -0.15933\nAnswer: 0.0175263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) 12 (b) 2\/11 (c) 1\/350 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2 = 10. Suppose -18 = -5*d - 2*i, c*d - 5 - 7 = -2*i. Suppose 0*b + 2\/7*b**d - 2\/7 = 0. What is b?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, -1\/2, 6, 4\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 3*c + 69. Find the common denominator of 78\/16*c\/146 and -23\/8.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p. Let r be w(-2). Suppose -s = -y + 13, 3*y - 45 = -r*s - 6. Suppose 5*o - 62 = y. Calculate the remainder when 28 is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.713152 litres to millilitres.\nAnswer: 6713.152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2766437 is divided by 3007.\nAnswer: 3004","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-66)\/396 + 70\/276.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(1\/13))\/f**(2\/21)*(((f**(6\/25)*f*f)\/f*f*f)\/f)\/f**(-14) assuming f is positive.\nAnswer: f**(116488\/6825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.068652 rounded to 1 dp?\nAnswer: 84.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8743\/2 or 4372?\nAnswer: 8743\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 801 + -796. Which is the nearest to -2\/5? (a) g (b) 1 (c) 118\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 11) to base 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 899088 to the power of 1\/2, to the nearest integer?\nAnswer: 948","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/164990 and -23\/98?\nAnswer: 1154930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 11*q**2 + 15*q + 9. Let p be h(-11). Let y be (-1 + 0)\/((-2)\/p). Is (y\/15)\/((-2)\/10) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*w = -72*w + 31*w + 273 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -297*(-10)\/21780*(-10)\/36*22\/(-70)\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (108\/(-1710)*19)\/((34\/(-17))\/(-1*115)).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l. Let q(g) = -g + 3976. What is x(q(s))?\nAnswer: s - 3976","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -53 in 1\/7, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5188757*y**3 + 3302574*y**2.\nAnswer: 31132542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 217436 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: Convert 10210202 (base 3) to base 11.\nAnswer: 20a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 3. Let u(g) = -3*g - 5. Is u(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o + 4*o + 42*o**3 + o.\nAnswer: 42*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.003, -3, 4\/2671 in decreasing order.\nAnswer: 0.003, 4\/2671, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -109, -208, -297, -370, -421, -444, -433?\n\"Answer: u**3 - u**2 - 103*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*g - 1947*g**2 + 5*g**3 + 1947*g**2.\nAnswer: 5*g**3 - 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(4*sqrt(49)\/sqrt(7)).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 111 = -4*m - 145, -t + 2*m + 26 = 0. Calculate the remainder when 934 is divided by t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-21)\/49 - 6366\/(-7). Suppose -5*q + 14*q + m = 0. Which is smaller: q or 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express s**3 - 1 - 1 - 2*s - s**2 + 6 - 5 in the form z*s**3 + b + a*s + k*s**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -885 by 3.\nAnswer: -295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 494 a factor of 990368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -190 - -181. Which is the nearest to -2\/3? (a) -5 (b) 0.1 (c) w (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1440 + -720. Is 79 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -7\/5191, 44 in descending order.\nAnswer: 44, 1, -7\/5191, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -29*j**3 - 11*j**2 - 12*j + 25. Let d(a) = 8*a**3 + 3*a**2 + 3*a - 6. Give -22*d(h) - 6*n(h).\nAnswer: -2*h**3 + 6*h - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 10:32 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l + 4*l - 2*l + (l - 2 + 2)*(-3 + 0 + 0).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*i + 3*i + 15*i + (-28*i + 57*i - 38*i)*(4 - 3 - 2) - i - 2 + 2 + (-3*i + 5*i - 3*i)*(0 - 3 + 5) + 6*i - 4*i - i)*(2 - 4 + 3).\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 965164596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322*v = -4818 + 23368 + 23140 - 5626 for v.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 5*x - 4. Let y be r(-4). Let d be (y - -1 - -2) + 1. Suppose -3*q + 13 = -4*p - 15, d*q + 5*p + 4 = 0. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16108 divided by -5084\nAnswer: -4027\/1271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -1.99066.\nAnswer: -0.796264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6844 + -5051. Calculate the highest common divisor of g and 2282.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -1025*r - 547379. Determine w(-534).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 7:21 PM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mr when two letters picked without replacement from mmmmmrmrmmmmmmmmmm?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -2, 4 in increasing order.\nAnswer: -2, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 109903684 and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*d - 9*d - 12*d + (2*d + 0 + 0)*(-2 + 14 - 11) to the form n + z*d and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j*(j**(-16)*j)\/j*j*j)\/j)\/(j*(j**(1\/4)*j)\/j)*(j\/(j\/(j\/(((j**(3\/2)\/j)\/j)\/j*j))))**16)**(-31) assuming j is positive.\nAnswer: j**(-1209\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 0 - 17 + 110*j - 124*j wrt j?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3552146 to 4 decimal places.\nAnswer: 0.3552","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*v = -120, -377 = -3*y + 4*v - 7. Calculate the smallest common multiple of y and 8.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*s - 60*s = -5*u - 10, 0 = 3*s - 2*u - 42. Solve 24 = -7*j + s for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 76\/20 + 2\/10. Find the second derivative of 0*l**2 - 5*l - c*l**2 + 2*l - l wrt l.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 91. Let z = -89 - f. Sort z, -36, -4 in increasing order.\nAnswer: -36, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 <= -1477\/2182?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 3\/(-3)*3. List the prime factors of (-45)\/s*10\/30.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00031746609 to five dps.\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 131145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*a + 8 - 8)*(-2*a**2 + 6*a**2 + 9*a**2) + 2*a**3 - 9*a**3 - 4*a**3.\nAnswer: 80*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2534, -10060, -22608, -40184, -62794?\n\"Answer: -l**3 - 2505*l**2 - 4*l - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -1\/2 (c) -7.3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 1 = 5*p, 0 = -3*h - 4*p + 3514 - 3517 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = -2*i - f, 2*f + 3*f = -3*i + 133. Put -3, -1, 5, i in increasing order.\nAnswer: -3, -1, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4\/5))**(-3)*((b\/(b\/((b\/b**14*b)\/b)*b))\/b)\/b**11 assuming b is positive.\nAnswer: b**(-118\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -150*g*o*u**5 + g*o*u**2 + g*o*u + 57*g*o - 2*u wrt u?\nAnswer: -3000*g*o*u**3 + 2*g*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 622, 1242, 1862?\n\"Answer: 620*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -23, -33, -49, -71, -99, -133?\n\"Answer: -3*v**2 - v - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 256\/128*2\/(-2)*6\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 577 = 2*l + 591, -6*l = -l - 3*r + 26 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 4:08 PM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of o**4\/24 + 4*o**3\/3 + 15*o**2. Suppose -4*n + 25 = -3*d, -5*d - n - 51 = -3*n. Let y = 17 + d. What is r(y)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -866, -867, -868, -869, -870, -871?\n\"Answer: -t - 865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qcm when three letters picked without replacement from {m: 1, p: 2, c: 1, q: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 591*s**2 - 197*s**2 - 34 + 34.\nAnswer: 394*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382 is divided by 78?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1454 + -40?\nAnswer: 1414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*x**2 + 709*x - 709*x)*(-x + x - 5*x + 0 + 0 + 2*x - 3*x - 2*x + 4*x + (1 - 3 + 3)*(0*x - 3*x + x) + x - 2*x - x - x + 10*x - 3*x).\nAnswer: -56*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - 9*l + 229. Give w(12).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309 is divided by 36\/54 - 1 - (-241)\/3.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q + 4314 + 13238 - 17552.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -222556 (base 9) to base 8\nAnswer: -404016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/((sqrt(96) + (sqrt(96)*-2 - sqrt(96)))\/sqrt(8)) + (0 + sqrt(75) + -1)**2 + 1.\nAnswer: -21*sqrt(3)\/2 + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 6:53 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x + 8623 = -101*x + 35 for x.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18837 and 128800?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 17. What is the greatest common factor of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1 - -3)\/(-2 - -3) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1659\/395*(-870)\/(-918) + -4.\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -354*a**5 + 197*a**4 + 185412*a wrt a?\nAnswer: -7080*a**3 + 2364*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 5*i + 4. Let k be u(5). Suppose -2*m - 71 = 5*o, -k*m - 1 = 3*o + 50. Let j = -37 - -25. Is o at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-14) - (-1749)\/77. Suppose v = 5*m - 22. Let z(i) = i + 11. What is the tens digit of z(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -11*z + 31. Let w be p(-9). Suppose o - w = 3*m, 0 = 2*o - 3*m - 449 + 183. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-3) - (8008\/7436)\/(3\/26).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, o: 1, y: 2, j: 1, p: 2}. Give prob of picking 2 p.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 53 = 5*t - 22, -t + 5 = d. Put t, 3, -11 in decreasing order.\nAnswer: t, 3, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 346403591?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 - -53. Which is the closest to 3? (a) g (b) -1\/4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 8*j + 6. Determine t(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -3*o**5\/20 + o**4\/12 - o**2\/2 - 7*o. What is the units digit of w(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 - 0*(3 + -4)*1. Solve 0 = -5*k + b + 25, 2*k = -0*k - o*b - 17 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*z**3 - z**3 - z**3 + (-3*z + 7*z - 2*z)*(z**2 + 2*z**2 - z**2))*(3 + 16*z - 3) to q*z**3 + v*z**2 + n*z**4 + o + k*z and give n.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 2 (c) 40183547\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 187, 372, 557?\n\"Answer: 185*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 7*w**2 + 13*w - 11. Calculate b(8).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -347*u - 345*u = -10*d - 698*u - 84, 3*d + d - 2*u = 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -260 + 368. Suppose 0 = 4*l - 4*p - 0*p + 92, 0 = -3*l - 4*p - 76. Let f = 36 + l. Calculate the highest common divisor of q and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 12483?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1662.76 - 1111. Let u = l + -567. Let p = -15 - u. Round p to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f + 5. Let v be s(6). Suppose -5*r = 4*b + 13, -3*b + 5*r + 0 - 1 = 0. Let p = b - v. Put -2, p, 4 in descending order.\nAnswer: 4, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 246182300 and 364.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 78*u + 69. Let v(b) = 195*b + 166. Let k(o) = 12*p(o) - 5*v(o). Determine k(1).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.396118 litres to millilitres.\nAnswer: 396.118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*d**3*t - 949836*d**3 + 304*d**2*t + 9*d**2 - d*t + 14*d + 101 wrt d?\nAnswer: -48*t - 5699016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 0*b - 10 = 0. Suppose -2*k + 3 + 4*k**3 - b*k**5 - 3 = 0. Calculate k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16686 divided by -1854.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005578 to six decimal places.\nAnswer: -0.000558","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 67700369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**2. Let b(n) = -2*n - 14862. Give b(i(f)).\nAnswer: 4*f**2 - 14862","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72068 is divided by 721?\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 24870248.\nAnswer: 1\/24870248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rqrzqksrkkkqsrrqraa. Give prob of picking 1 q and 2 s.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -5*p + 3*d, -3*p + 0*d + 3*d + 54 = 0. Let s be 9\/p - (-192)\/30. Solve -2*i = -s*i - 25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, n: 2, q: 2, x: 5, r: 10}. What is prob of sequence nr?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j**2 - j - 1. Let d be a(1). Let r(y) = 11*y**2 + 3*y + 11. Does 47 divide r(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -226 + 228. Suppose k*r - 25 = -3*r. Let c(m) = m**2 - 2*m - 1. Give c(r).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**2 + 2*v + 2. Suppose 5*h - 4*h = 4, -3*h = 2*x - 16. Calculate i(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(117))\/(sqrt(1296)*-1).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -719.\nAnswer: 5\/719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 620956.\nAnswer: 2, 7, 67, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 9 = 5*t. Solve -2*x + p = 16 - 5, -3*x - p - 14 = t for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 1625526*d + 4656. Let t(c) = -3492*c - 10. Determine 5*o(q) + 2328*t(q).\nAnswer: -1746*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -101 + 106. Suppose -2*i + 28 = c*i. Solve -i*k + 0 = -4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 h, and 1 g when three letters picked without replacement from {g: 1, q: 1, p: 1, h: 1, k: 2, x: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t - 25. Let y be p(-6). What is the closest to y in 4, -3\/13, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66 and 25605?\nAnswer: 563310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - n = 17 + 3, -5*n = 5*z - 25. Suppose 5*r - r + 64 = 4*i, -z*i + 98 = 4*r. Let f = -2 + i. Does 13 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -41 - -4a?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32961, -65921, -98881, -131841, -164801, -197761?\nAnswer: -230721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 557 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*n**4 - 63*n - 4*n**3 - 23*n**4 + 64*n as i*n + f*n**4 + s*n**3 + g + m*n**2 and give f.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 1379*v + 18141. Calculate c(-13).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 3*o - 193 = -2*m, -491*m + 551*m - 2*o - o = 2283 for m.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 816299 - -126338. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 92406746\/5966 - (-4)\/38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 17*d**2 + 25*d - 72. Let b be y(-15). Suppose 3*p + 4*z = 7, -5*p - 4*z + 3*z + 6 = 0. Let u(h) = -7*h + h + 0*h + 3*h - p. Give u(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/42*-15)\/((10\/5)\/(-4))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14033935779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - 2\/(-3 + 2). Let i be ((-3)\/2)\/((-9)\/60). Suppose g*r = -i + 35. Is 2 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -74301*j + 817318. Determine g(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.83947699 rounded to 1 decimal place?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -14\/17 (b) -25 (c) 0 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 82796, 165584, 248366, 331142, 413912, 496676, 579434?\n\"Answer: -3*i**2 + 82797*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10917817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 120*i + 6. Let d be b(4). Find the common denominator of d\/(-112) - 4\/14 and 65\/(-8) + 2 - -1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-3*(-9)\/(-18)*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 57720 + 470?\nAnswer: 58190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 4:09 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-189)\/(-12) - (-2)\/8. Let q = 11 - x. Let i(m) = -2*m**2 + 4*m. Let z(u) = -4*u**2 + 9*u. What is q*i(r) + 2*z(r)?\nAnswer: 2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**3 - 5*n**2 + 6*n - 1. Give g(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 + 107*v + 70.\nAnswer: (v + 35)*(3*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187098.\nAnswer: 2, 3, 31183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -101 + 131. Suppose -c = 6*y - 6. Let b = -38.9 - -37. What is the nearest to b in 4, y, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of 0 + 0*t - 7\/12*t**4 - 3*t**3 + 31*t**2. What are the prime factors of m(-8)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + -1 - -2)*5557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 24571032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4389 + 5544. What is the greatest common divisor of r and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 37, 57, 75, 91, 105, 117?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 257031499 to the nearest integer?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**5 - 4*m**5 + 4*m**5)*(-103 + 39 - 121).\nAnswer: -185*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -2. Let z = x - -3. Is 1 - 0 - (-2 + z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u + 9*u - 19*k + 35 = -18*k, 0 = -4*k - 12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**3 + 5*y**3 + 0*y**3)*(-18 + 18 + 8*y) + 3*y**4 - y**3 - 6*y**4 - y**3 - 6*y**4 + 3*y**4 + 2*y**4.\nAnswer: 12*y**4 - 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-5))\/(4*6\/(-120)). Let q(d) = 5 - 6*d**t + 12*d**2 - 6*d - 7*d**2. Suppose 5*r = -0*r - 35. Determine q(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269440741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (-1884)\/(-378))\/(4\/18)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 5*a**3 + 2*a**2 - a. Let l be v(1). Suppose 2*g - 2*f + 0*f = -2, -2*g = 4*f - 4. Let j be ((-3)\/(-3) + g)\/1. Is l greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus -116233?\nAnswer: -116238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/8*56\/48*(-32)\/(-28).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 7*m**2 - 1 + 1 - 5*m**2 to the form j*m + g + q*m**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of 0 + 0*l**7 + 1\/28*l**8 + 0*l**2 - 9\/4*l**4 + 0*l**5 + 19*l + 0*l**6 + 0*l**3. What is the third derivative of f(a) wrt a?\nAnswer: 240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46562 is divided by 46551?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 plus 6018?\nAnswer: 6009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 56933868 to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 87533357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 93015 and 328971.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 96.574? (a) -1\/2 (b) -2\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hlq when three letters picked without replacement from hlqbqb?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 10840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15 - -66 - 56)*(-2)\/90)\/(9\/2160).\nAnswer: 80\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 3) to base 16\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 850154507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 93*g - 46*g + 141. Sort g, 3, -223.\nAnswer: -223, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a5 - d?\nAnswer: -b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9748 + 9757. Suppose -390 + 153 = -3*v. Calculate the remainder when v is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rvff when four letters picked without replacement from {y: 3, r: 7, f: 7, v: 2}?\nAnswer: 49\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 837\/27 - (-1 + 1*-3) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32445 times 0.16?\nAnswer: 5191.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49853, -102002, -154151?\nAnswer: -206300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 993.\nAnswer: 11916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(1\/4*-2). Suppose 0*c + 6 = o*c. Suppose 3*p = -v + 1, 0*v - 63 = -c*v + 3*p. What is the highest common divisor of 16 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/4)\/(7\/(-126)). Is v + 7\/((-14)\/(-4)) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + o - 1. Let m(q) = 7*q**2 - 309*q + 6081. Let z(b) = m(b) - 3*v(b). Determine g so that z(g) = 0.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 0 + 6)*4. Let d = 11 + -8. Suppose 11 = d*s - 7. Solve u = s*u - i for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -35*u**3 + 200*u**2 + 30*u + 190. Calculate j(7).\nAnswer: -1805","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 48*u**5 + 16291*u**4 + 2*u**3 - 2*u**2 - 2*u - 732480 wrt u.\nAnswer: 2880*u**2 + 390984*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - (-22)\/((-220)\/225)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*p + 23 - 49. Solve p*f = -y - f - 10, 3*y = -4*f - 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -786 + 522. Sort -4, 0, q in increasing order.\nAnswer: q, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 11:32 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1504 - -41445220?\nAnswer: 41451124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + w**2 - 95 + 57 - 102 - 21*w.\nAnswer: w**2 - 21*w - 164","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/343 + -3793\/3430. What is the common denominator of 73\/3 and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.025 in 1, 2\/15, 0.9?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*3006\/24 + 1\/4. Let w(r) = -r**2 - 106. Let f be w(0). Let j = f + b. What is j rounded to the nearest ten?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -0.0653?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -42? (a) 0.9 (b) 0.1 (c) 0.5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2191123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2988\/18675)\/((-12)\/50)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -437065*p + 487799.\nAnswer: -437065","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(110)*5)\/((sqrt(10) + sqrt(10)*1)*-1 - sqrt(10)))**2.\nAnswer: 1100\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.6 and 1132291553507?\nAnswer: 1132291553506.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 - -27. Let v be 1\/(c*(-2)\/(-12)). Sort -5, 5, v, 4 in ascending order.\nAnswer: -5, v, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -80899632 - 2766*b - 2570*b + 80899633 as r + o*b and give o.\nAnswer: -5336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00869 + -95.33?\nAnswer: -95.33869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26432 <= 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 167 - 7184\/43. Which is the nearest to 0.2? (a) 5 (b) -1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6\/19 - 227\/57. Calculate the common denominator of d and -37\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3.71, 123, 0, 1 in ascending order.\nAnswer: -3, 0, 1, 3.71, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 36682 at least 36684?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 89, 502, 1623, 3806, 7405, 12774, 20267?\n\"Answer: 59*n**3 + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -428*i**3 + 535*i**2 - 535. Let x(q) = q**3 - q**2 + 1. Determine p(u) + 535*x(u).\nAnswer: 107*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 u when four letters picked without replacement from {u: 10, h: 9}.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 943 is divided by 314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41 + -25. Suppose 7 = 5*g - 8, 4*m - 5*g = -11. Let c = n + m. Solve 3*r - 2*z - 17 = 0, 3*z = -0*r - 4*r + c for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/10)\/((34\/30)\/17)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - ((sqrt(19) - (sqrt(19) + -1)) + -3) - (1*sqrt(171))\/sqrt(9)) + -3)*6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*c + 2*c + 17*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 7, -1\/2, -12, 379, 0.6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9343 and -5.\nAnswer: 46715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3*16\/(-60))\/(8\/60). Let r = -16 + 16.4. What is the biggest value in r, -3, a, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -60\/2081?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6.8 (b) -51\/5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1073.3 rounded to the nearest ten?\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fm when two letters picked without replacement from {e: 3, f: 3, x: 7, m: 6}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -100101221?\nAnswer: -100101210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -16*j**3 + 31*j - 26. Let l(u) = -3*u**3 + 6*u - 5. Determine -11*l(d) + 2*m(d).\nAnswer: d**3 - 4*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 3*i - 43. Suppose -5*c + i + 32 = 0. Factor -19*h**3 + c*h**3 - 4*h**4 + 15*h**4 + 3*h**4.\nAnswer: 2*h**3*(7*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -36 - 36 + 162 - 47 + 17*r - 36. Determine h(-2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14206, 14227, 14264, 14317, 14386, 14471?\nAnswer: 14572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 3*x - 36, -3*c - 6*x = -2*x + 10. Let b = -4 - c. Suppose -g = -5*k - b - 5, 0 = 4*k + 3*g - 2. Round k to 0 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 29770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14505 divided by 5?\nAnswer: 2901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/36, -2, 5\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - (-5)\/(5\/(-2)). Suppose i = -3*n + 19. Let k(w) = -w**3 + 6*w**2 + 2*w - 8. Let h be k(n). Which is the biggest value? (a) 0 (b) 1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: Suppose 3*s - o = -3*o + 9, 2*o = s - 3. Calculate the remainder when 1*(-7)\/(-1) - 29\/(-29) is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 450*m + 9333 = -54*m - 8307 for m.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 714042 and 378.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -0.005.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (15 - 8) - (-1 + -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 h, and 1 c when three letters picked without replacement from {p: 1, c: 2, h: 4, e: 4}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 11071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**2 + 17*k - 17*k.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 110101100101 (base 2) to base 13\nAnswer: 173a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kz when two letters picked without replacement from zkbgd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 20885*g**3 + 5*g - 3. Let c be (-6)\/((-12)\/4)*1\/2. Is o(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/4))**38*y**0*y**(1\/5)*y)**(-19) assuming y is positive.\nAnswer: y**(1577\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + v - 1. Let x(h) = -4*h**3 + 2*h**2 + 2*h + 8. Let j(k) = 11*k**3 - 6*k**2 - 5*k - 25. Let u(a) = 3*j(a) + 8*x(a). Let y be u(3). Give i(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 74520 (base 15) in base 13?\nAnswer: cbc7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 400526, 400532, 400546, 400568, 400598, 400636?\nAnswer: 400682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011 (base 4) to base 2.\nAnswer: -1000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/7 + 198009540*w**2\/7 + 198009538*w\/7.\nAnswer: 2*w*(w + 1)*(w + 99004769)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 3:52 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -65*(-2 - (-2)\/2). Suppose -y = -z - 2*h, -h = 4*z + 3*h - 264. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 183617 to the nearest integer?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 j, and 1 y when three letters picked without replacement from {j: 3, y: 1, r: 2, m: 3, s: 2, t: 4}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1224024 to the power of 1\/2, to the nearest integer?\nAnswer: 1106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1748654.\nAnswer: 2, 17, 51431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 773, 1, -7, 218, -1 in decreasing order.\nAnswer: 773, 218, 1, -1, -2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -581a - -335d?\nAnswer: -249b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 625 and 0.1?\nAnswer: 62.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2*sqrt(175))*-6.\nAnswer: -24 + 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222861 is divided by 43?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1)*y*y**(2\/5)*y*(y*y\/y**(-3))\/(y*y**(-2\/9)) assuming y is positive.\nAnswer: y**(253\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 434 = 2*q + 4*t, 1109 = 5*q + 2*t. Is 13 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 6:53 PM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 10 = -0*j - 4*i, 4*j = 5*i + 18. Let z be (-28)\/21*(-6)\/4. Solve z = j*q + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n + 14. Suppose -23*s + 205 - 67 = 0. What is z(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44046?\nAnswer: 2, 3, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22020 is divided by 283?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 16*l**2 - 15*l - 34. Determine d(16).\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002558 rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-3)*(2 - -1). Let q be (41 - (-8)\/(-2)) + t. Suppose 5*k - 19 = 4*k - g, -5*g + 51 = 3*k. Calculate the highest common divisor of k and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 + 0. Suppose -8*m + 1029 = 1173. Which is the biggest value? (a) 4\/7 (b) m (c) k (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence twww when four letters picked without replacement from {w: 8, t: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5007*y**4 - 85*y**2 + y + 3?\nAnswer: -120168*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three tenths of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ilikikiliikki. What is prob of picking 1 k and 1 i?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -119.5671 rounded to the nearest integer?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*v + 4*v - 31*v + 95 + 12*v as s + o*v and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325 is divided by 61.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (((-238)\/371)\/17 - 33504\/(-212))\/(4\/(-2))\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w + 4 - 4 + (w - 4*w + 0*w)*(-5 + 2 - 2) + 5*w - 2*w + w.\nAnswer: 18*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 351.1 + -351. Let m = 0.1 - 0.1. Let k = 2 + m. What is the nearest to x in -0.5, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4816628704 - -4?\nAnswer: 4816628708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 29*x**2 - 179*x - 26. Calculate s(20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4 = 2*u + 2, -h = 4*u - 16. Let l = 3 - u. Solve -2*t - 3*t + 20 = l for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1862413150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19392489?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**12)**(-20) assuming z is positive.\nAnswer: z**(-240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 9:09 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 660*m**5 + 1339*m wrt m.\nAnswer: 13200*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (0 - 1) - (-12 - (-11 + 1))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4*g = 5*f - 83, 3*f - 91 = g. Let r be (-838)\/8 + (-1 - -4). Let t = g - r. Which is the third biggest value? (a) 2 (b) t (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377)*-2*5)**2 + -2 + -4 + ((0 + sqrt(1377)*3 - sqrt(1377))**2 - sqrt(1377) - (0 + (sqrt(1377) - (sqrt(1377) + -3)) + sqrt(1377))**2) + 4.\nAnswer: -63*sqrt(17) + 141820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.6 - 3.6. What is the closest to u in 2, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1566*b + 68850 = 2416*b for b.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2785577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 z when three letters picked without replacement from {z: 7, k: 9}.\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = v - 2. Suppose 191 + 313 = 7*q. Is 17 a factor of (q\/(-16))\/(v\/(-48))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11891 - -19284. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 610749 is divided by 2262?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -711588.06 rounded to the nearest one hundred?\nAnswer: -711600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66 + -63. Suppose -p*u + 11*w = 14*w + 63270000, -2*w = 0. What is u rounded to the nearest 1000000?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 26743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(432) + sqrt(432)*-1 + -4)*3.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*l + 3*l. Let p(i) = 0*i**2 + i**2 - 8 - 1 + l*i + 3. Let q be p(-6). Does q = -4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2229*o - 2226*o - 1 + 4456*o. Give b(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5*w - 5*d - 21 = 0, 3*w = -3*d. Let n be ((-10)\/(-4))\/(7\/(-2) + w). Let s(x) = -x**3 - x**2 + 6*x + 5. Does 15 divide s(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*s**2 - 5*s + 156?\nAnswer: -4*s - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of 0*j**2 + 0 + 5\/6*j**3 + 4*j. Let f(s) = -4*s**2. Give g(f(v)).\nAnswer: -20*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000122685113 rounded to six decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*-0.08.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of 5*p**3\/3 + p**2\/2 + 2*p + 909. What is t(-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence illw when four letters picked without replacement from wlilliwl.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 5*v + 37. Let h be w(-4). Let j(r) = -r - 1 - 5*r + 0. Give j(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -2*k**3\/3 + 2*k**2 + 9. Suppose -29*i + 23*i - 268 = 61*i. Let p(y) = -9*y**2 + 15*y. Calculate i*p(x) + 15*q(x).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 37.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 147 - 141. Suppose w*l + 162 = -126. Let o = 62 + l. What is the greatest common divisor of 56 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 + 0*n**3 + 4*n**3)*(-3 + 1 + 1 + 4*n).\nAnswer: 8*n**4 - 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/11, -1, 727\/19166 in decreasing order.\nAnswer: 727\/19166, -6\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**5\/5 + 6072*b**4\/5 + 244014*b**3\/5 + 207624*b**2\/5 - 1171593*b\/5 + 142776 = 0. What is b?\nAnswer: -1983, -40, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-3*-1*sqrt(5).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -t + 72. Find the common denominator of 363\/18 + -3 + 4 and (-5)\/9*(t + -3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13.77432945 - 9.334329218. Let q = n + -4.44. What is q rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 6*x + 17. What is the common denominator of 22\/27 and (7 - 9) + (-95)\/x?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.42 - -0.59. Let r = -34.17 + g. Let v = r - -33.99999864. What is v rounded to seven decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -239712 divided by 4.\nAnswer: -59928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/((z**(-5)\/z)\/z)*z*z**0)**(1\/8)\/(z**4*z**(-1\/2)*z*z*z*(z\/(z*z**1))**24) assuming z is positive.\nAnswer: z**(75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70301270 divided by -13.\nAnswer: -5407790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2*q = 6*q - 16, 2*q = 10. Let b be (-2 - 3)\/(5\/f). Solve -b*h = -7*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + -13 + 5430\/240?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 48*a - 51*a. Sort a, 0, -8, 1 in decreasing order.\nAnswer: 1, 0, a, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1562 and 110.\nAnswer: 7810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + p = 14. Let z = p - 3. Calculate the lowest common multiple of 78\/z - 6\/4 and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -298163*c + 223773*c - 423671*c.\nAnswer: -498061*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 46*c**2 - 127*c - 81. Let m be x(43). Suppose 2*y - 4*y + 118 = 0. Suppose -m*v + 461 = -y. Does 26 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/108 and 31\/7851132.\nAnswer: 23553396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/1*(8 - 1 - 936\/72)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3407*f**4 - 4*f**3 - 368*f**2 - 11*f wrt f.\nAnswer: -81768*f - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**3 + 2*m**2 - 2*m - 1. Let g be b(-2). Let i be (g\/(-50))\/((-4)\/10). Does i = 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 10*n. Let y(i) = -91*i. Give 26*h(v) + 3*y(v).\nAnswer: -13*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-48)*576\/(-216))\/((-74)\/(-4))\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -90888, -87181, -83476, -79773, -76072?\n\"Answer: -s**2 + 3710*s - 94597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -31, 48 in decreasing order.\nAnswer: 48, 4, 3, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 34 = 97*p - 92*p, 5*p - 10 = 5*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a litre in millilitres?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1245091 or -1245070?\nAnswer: -1245091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -3, -5*c + 1 = 3*n - 15. Suppose 3 = -3*w + c*x - 4*x, -2*w + 2*x + 2 = 0. Let r = -0.9 - -1. Put r, w, -5 in descending order.\nAnswer: r, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1253 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15043 is divided by 212?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.01 - 3.51. Let x = -0.27 - 0.13. Which is the second smallest value? (a) 0.1 (b) 2 (c) t (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 10331173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1723103 (base 8) in base 7?\nAnswer: 4155363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1819 - 1797. Suppose -4*b + 108 = 2*m, 4*m - 2*b - 3*b - 190 = 0. Let q = m - 34. What is the least common multiple of q and z?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1179, 2358, 3537, 4716, 5895?\n\"Answer: 1179*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -241 - -230.7. Let z = o - -13. Let v = -0.7 + z. What is the closest to 0 in -3, 0.5, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*k - 53*k - 87092 = 95727. Does 17 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 46250*i - 92482*i + 46272*i + i**3 in the form b*i**3 + j*i**2 + c + q*i and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -68152196 by -2434007.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + -5 - (-13 + 5 + 16 + -12).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1195*r**2 + 23159?\nAnswer: -2390*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 305280185?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8 + (-4 - (-3 - -3)). Let l(m) = 14*m**2 + b - 5*m - 34*m**2 + 12*m**2 + 7*m**2. What is l(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87717397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -10*r**3 - r**2 - r - 1. Let h(z) = z**2 - 4*z + 3. Let o be h(4). Let c(d) = 7 + 0*d - 3*d - o*d + 5*d. Let x be c(8). Determine v(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -g**8\/392 + g**7\/735 + g**6\/210 + 6*g**2 - 5*g. Let z(t) be the first derivative of i(t). Factor z(k).\nAnswer: -2*k**3*(k - 1)*(3*k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 h when two letters picked without replacement from {m: 1, h: 7, g: 1}?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1409226\/5278*((-28)\/12 - -2).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1101 + -22220?\nAnswer: -101021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = j - 2*n - 2*n, 3*j = n + 22. Let w(y) = -y**2 + 6*y + 5. Calculate the remainder when 13 is divided by w(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 587196?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.08 - -0.08. Let c = 6.91 + b. Round c to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, 1\/4, 12, 23?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*o - 16850 = 531*o for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7764662 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29515316.013633475 + 0.013633475. Let r = 29515256.999996 + k. Let j = r - -59. What is j rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1237*o - 387*o**3 + 1237*o + 1326*o**3.\nAnswer: 939*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -27390b + -1?\nAnswer: -273910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 2*l - 2*n, 5*n + 27 = -l. Let r be (-2)\/l + (-1 - -4). Suppose -4*c = 3*u - 1939, r*c + 3*u = u + 1942. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1350762 is divided by 7335?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -63, -110, -171, -246?\nAnswer: -335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -2*h + 23, -23 = -4*j + 3*j - 5*h. Suppose 0 = -c + j*m + 405, 2*c - 814 = 4*m - 0*m. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -218, -222, -228, -236, -246?\n\"Answer: -a**2 - a - 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xyuxwwywxwxupw.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c**2 + 34*c - 1. Let a(w) = -w**3 + 8*w**2 - 4*w + 16. Let m = -68 - -76. Let y be a(m). List the prime factors of r(y).\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 9:41 AM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -6. Let l be ((-8)\/(-7))\/((-2)\/(-7)). Let d be 0\/(1 - 3) - (-133 + 130). Solve s*x - x = -l*v - 5, 0 = d*v - x - 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/5 or 249\/126950?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 252, 335, 348, 291?\n\"Answer: -35*o**2 + 188*o + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/134420 and 125\/40326?\nAnswer: 403260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61.5 - 61.8. Which is smaller: q or 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -q**4\/60 + q**3\/6 - 2*q**2\/5 - 13*q. Factor s(r).\nAnswer: -(r - 4)*(r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1686\/(-423) - -4)\/((-3)\/6) and 79\/24.\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 4*z**3 - z**2 + z. Let g be l(1). Sort -2, g, -4, 117 in ascending order.\nAnswer: -4, -2, g, 117","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (62 - 197) + 0 + 33.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.403484 + -11.19\nAnswer: -10.786516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 579, 4632, 15625, 37026, 72303, 124924, 198357, 296070?\n\"Answer: 578*k**3 + 2*k**2 + k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (8\/114)\/(-1)*6\/4\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0077486 to four dps.\nAnswer: -0.0077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*y + 1218 = 0, 2*o + 3*y - 3624 = 5*o. Let h = -563 - o. Round h to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 13*b**2 + 2*b + 1. Let g(w) = 3*w**3 - 28*w**2 - 12*w - 2. Let f(n) = g(n) + 2*x(n). Give f(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 666*w + 78116 = -914*w + 232956 for w.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -10*h**3 + 10552*h**2 - 119*h + 22333. Let a(j) = -3*j**3 + 3015*j**2 - 35*j + 6381. Let v(q) = -17*a(q) + 5*d(q). Differentiate v(x) wrt x.\nAnswer: 3*x**2 + 3010*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -9*t - 1 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 + 91. Suppose 0 = 3*f - n + 3. Calculate the smallest common multiple of (8 - 1)\/(2\/4) and f.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q + 9 - 3 + 3*q)*(-4*q**2 + 2*q**2 + q**2).\nAnswer: 3*q**3 - 6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.462 in 4\/5, 0.2, 2\/5, -2\/183, 1?\nAnswer: -2\/183","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 221705338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1433033 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1107)\/(-369)*((-1)\/(-26))\/((-1)\/2)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 461613670*q + 32836826 with respect to q.\nAnswer: 461613670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 + 2)*(0 + 2 - 1)*((x - 4*x + 2*x)*(-9 - 3 + 7) + (-1597 + 53*x + 1597)*(0 - 2 + 3)*(-1 + 1 - 1)) to y + m*x and give m.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 179*p - 3382. Give q(-19).\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*v + 16*v = -4*j + 4, 4*v = -4*j + 4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2007776 to the nearest integer?\nAnswer: 1417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 723*s + 5766. Determine a(-8).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2 + 9*j - 11. Calculate x(7).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - 0)\/((-1)\/(-326)). Let n = -306 - c. What is the remainder when n is divided by ((-11)\/(-4))\/((-1)\/(-4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82317228*-1.\nAnswer: -82317228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -415*a**4 - 4*a**2 + 416*a**4 + 0 + a**3 + a**3 + 7 - 5*a in the form i*a**3 + j*a**2 + v + p*a**4 + l*a and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 9:56 PM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + (3 - 2)*-1. Let g(k) = 13*k**2 - 2*k - 2. Let m = 109 - 84. What is the remainder when m is divided by g(r)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 r when two letters picked without replacement from {q: 1, m: 2, r: 2, s: 1, v: 5, t: 5}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 403 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + 350.5\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 6 = 0, 3*l + 0*l = 2*m - 1. Let w be (-1 - l)*(3 + -2). Let u = 7 + w. 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 s be (-4)\/6 - 168445\/(-150). Let u = s - 1134. Find the common denominator of -63\/4 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 10, 8 in decreasing order.\nAnswer: 10, 8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by -105613?\nAnswer: 11\/105613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -6*r**2 - 218*r + 1429. Determine z(-42).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 419 and -0.4.\nAnswer: -167.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of 13*x**5\/4 + x**4\/4 + 2*x**3\/3 - 68*x**2. Is s(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 7:23 PM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1668444513 to the nearest integer?\nAnswer: 40847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3 + (2 - 6 + 2)*(-2 + 3 - 3) + 1 - 1 - 2 + 1 - 3 + 3 + 1 - 3 + 3 + 2 + 0 - 4)*(-17 - 13*f + 17).\nAnswer: -52*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270968396?\nAnswer: 2, 31, 953, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3196 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, -4, 1\/9, 2, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(0 + -6*(sqrt(10) - (sqrt(1960) - sqrt(10)))\/(sqrt(180)*5)))**2 + 0.\nAnswer: 2592\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288986 is divided by 171?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 53*a - 256. Let b be r(-38). What is b rounded to the nearest one thousand?\nAnswer: 57000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404188 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10100000011001000010011 (base 2) to base 16\nAnswer: -503213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 508, 5, 3 in decreasing order.\nAnswer: 508, 5, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/(-64)*(-1 + (1 - -3)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-85)\/34)\/(12\/8 + 0)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/41726 and 7\/397070.\nAnswer: 12309170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -4*b + 5. Let h(k) = k. Let s(r) = 6*h(r) + u(r). Let c = 4 - -6. What is the remainder when s(7) is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88, -276, -566, -964, -1476, -2108?\nAnswer: -2866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 11. Suppose -41*s + 8*s = 15609. Let t = 462 + s. Sort 2, i, t in descending order.\nAnswer: 2, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 4. Suppose 4*t - 2 = 3*m - 0*m, -p*m - 5*t + 14 = 0. Suppose 0 = -m*r + 11 + 27. Calculate the remainder when r is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13418810 (base 9) in base 13?\nAnswer: -14b0239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.046, 1\/7, 0.38, 36 in descending order.\nAnswer: 36, 0.38, 1\/7, -0.046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71, 195, 335, 485, 639?\nAnswer: 791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 7*u**3 - 2*u. Let a(x) = -x**2 - x. Determine 2*a(d) - j(d).\nAnswer: -7*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) 2 (c) 0.4 (d) 4.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29.68 - 29. Let d = i + 0.09. What is d rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3*a. Let z = 22 - 22. Let k be 0 + (-3 - -6) + z. Solve -k = i - a for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 3*u - 13 = -2*w, -3*w = -4*u + 23. Let a be ((-4)\/14)\/(w\/7). Let q(f) = 5*f**a - f**2 - 6*f**2 + 3*f**2. Let x(g) = 3*g**2. Give x(q(z)).\nAnswer: 3*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23*g**3*j**2*z - g**3*j - 4*g**3 - 20*g*j**2*z + 363*g*j**2 wrt z.\nAnswer: 23*g**3*j**2 - 20*g*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (13 - (10 - (51 - -14)) - -20) + 19\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 17*i**2 + 10*i + 19. What is the tens digit of o(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((-2 + sqrt(2))*6 + sqrt(2) + (-1*sqrt(8)\/sqrt(4) - sqrt(2)) + sqrt(2))**2 - 1*((0 + sqrt(72) + sqrt(72) + 3)**2 + sqrt(72))).\nAnswer: -444*sqrt(2) - 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v. Let j be q(-2). Let d be (-4)\/14 + j\/(-14). Let z = -40 - -119\/3. Which is the smallest value? (a) d (b) z (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2364434708 to the nearest integer?\nAnswer: 1332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - m + 3*v - 2 = 0, -v = 1. Let r = 1\/1079 - 1084\/5395. What is the closest to 88 in m, 0.3, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1646 is divided by 148?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/9*(-2)\/(-4). Let o = -2456 - -2455.7. What is the nearest to u in 0.12, 4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 385 and 308?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.91 and -1.37?\nAnswer: -2.6167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 213*x**2 + 0.\nAnswer: -213*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + m = -0 + 4, -2*k + 2 = m for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*z + 138*z - 31*z = -4577 for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4295*t**2 + 4234*t**2 + 11*t - 4*t.\nAnswer: -61*t**2 + 7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 11:27 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -60, -91, -152, -249, -388?\n\"Answer: -s**3 - 9*s**2 + 3*s - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15\/2*f**2 + 36*f + 1\/2*f**3 + 54 = 0. What is f?\nAnswer: -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 12 = 4*r + 7, 0 = 4*r + 12. Let v(t) be the third derivative of t**6\/120 + 3*t**5\/20 + 7*t**4\/24 + t**3 - 3*t**2. Is v(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 7*s**2 - 5*s + 6. Suppose -2*i + 1 = -3*i. Let x = 7 + i. What is the tens digit of q(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r + 6. Let z = 37 - 43. Give f(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*q**3 + 85*q**2 + 30*q = 0.\nAnswer: -1\/3, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2195*l + 13 = -c + 2199*l + 5, 0 = -5*c - 5*l - 15 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -62*l + 25*l + 22*l + 14*l. Let a(w) = -117*w. Calculate u(a(h)).\nAnswer: 117*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 0.9. Let p = 1.77 + 0.13. Let j = 0.9 - p. What is the closest to j in -0.2, s, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 11:27 AM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -6*(sqrt(192) - (-2 + sqrt(192)))*6)**2 + (sqrt(216)\/sqrt(2) + (sqrt(3) + sqrt(432) + -1)**2)*3.\nAnswer: -60*sqrt(3) + 6565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1408871478 to the power of 1\/2, to the nearest integer?\nAnswer: 37535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from eekkeeekekkkekkeke.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 22*z**2 - 7*z - 28. Let h(j) = -28 + 15*j**2 - 2*j - 3*j + 9. Let v = 26 + -19. Let g(m) = v*h(m) - 5*i(m). Differentiate g(c) wrt c.\nAnswer: -10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**4\/5 - 1116224*z**3 + 10382968678506*z**2\/5 - 6438738451754812504*z\/5 + 6438728068791715117\/5 = 0. Calculate z.\nAnswer: 1, 1860373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 5*r**3 - r**2 + 3. Let y(h) = -h**2 + 69*h - 323. Let p be y(5). Let k(c) = 4*c**3 + 2. What is p*w(q) + 4*k(q)?\nAnswer: q**3 + 3*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23.1 + -20. Let c = a - 0.1. What is the second biggest value in -3\/4, c, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1744510 by 5.\nAnswer: -348902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 97 and 56196659?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -898 + 216. Let t = d + 1456. Let q = 4577\/6 - t. Calculate the common denominator of -46\/11 and q.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1545913709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 10. Let l(j) = 5*j**3 + 3*j**2 - 3. Let g(m) be the first derivative of m - 1\/3*m**3 - 2 - 1\/4*m**4 + 0*m**2. Determine i*l(b) - 3*g(b).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 79 = 2*f - 2*h, -4*f - 176 = 4*h. Let s = 60 + f. What is the highest common divisor of s and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2496.13 litres in millilitres?\nAnswer: 2496130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -260142 divided by -3\nAnswer: 86714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -310*l**2 - 237*l - 5. Let b = 569 - 574. Let u(v) = 154*v**2 + 118*v + 3. Let o(w) = b*u(w) - 3*n(w). Find the second derivative of o(c) wrt c.\nAnswer: 320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/11)\/(s**7*s))**(-1\/2))**29 assuming s is positive.\nAnswer: s**(2523\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -7238*r + 195429. Let j be d(27). Let b = -24\/11 - -81\/22. What is the nearest to j in -0.3, b, 3, -2\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1651352 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 49*p**2 + 99*p - 2. Determine k(47).\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93672650 is divided by 1112?\nAnswer: 1106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1492378?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/5 - 864*s\/5 + 62208\/5.\nAnswer: 3*(s - 144)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2. Let p(t) = -12*t**2 - 6*t. Determine -20*n(z) - 2*p(z).\nAnswer: 4*z**2 + 12*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*f**2 + 0 + f**2 - 3*f**2 + f**2 + (3*f - 2*f - 3*f)*(-5*f + 4*f + 2*f))*(56 - 5*f - 56).\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3452171l to millilitres.\nAnswer: 345.2171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*c - 28*c = -1559*c - 38087 + 9367 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 6:25 PM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16209126*a**3 - 275951*a**2 - 16 wrt a?\nAnswer: 97254756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2. Let k(p) = -18*p - 15. Determine k(r(t)).\nAnswer: -18*t**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 5*i - 12904, 0*i - 4*i = -3*r + 19310. List the prime factors of r.\nAnswer: 2, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*u**4 - 457*u**2 - 1725*u wrt u?\nAnswer: 144*u**2 - 914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -4*j**6\/15 - j**4\/2 + 4*j - 2. Let o(r) be the first derivative of z(r). What is the third derivative of o(s) wrt s?\nAnswer: -192*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1992\/(-8715) - (-6)\/21?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + sqrt(117) + sqrt(117) + -2*2*sqrt(117) + sqrt(117) - sqrt(117)) + sqrt(117))\/((sqrt(54)*-1)\/sqrt(6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -93402*o**2 - 31*o + 4982074 wrt o.\nAnswer: -186804*o - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/215 and ((-115)\/13 - -9) + 1546\/(-78).\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - 16 - (0 + -4 - (-13 - -13)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -127058 divided by -1717\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 127521 and 557314?\nAnswer: 15047478","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of (70\/(-15)*3)\/(2\/(-168))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45 * 0.046\nAnswer: -2.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(9\/(-2)))\/((-94)\/(-423)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1c (base 16) to base 12\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2134*c - 44 = 2130*c - 3*b, 2*c + 2*b - 26 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 6:15 PM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134 divided by 87.\nAnswer: 134\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -14 + 20*a - 20*a**2 + a**3 - 15 - 1. Let t be f(19). Sort t, 4, -1.\nAnswer: t, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 526*f + 3683. Let g be x(-7). Is g at most -1\/3899?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 63, 133, 207, 285, 367, 453?\n\"Answer: 2*y**2 + 64*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 21 + 3. Let i be (-1)\/(-2) + y\/(-10). Let l = -1 + 5. Which is the closest to i? (a) -5 (b) l (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (141\/282)\/((-101943)\/101946 + 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 283530 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 6 (c) -0.4 (d) -2 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**3 + 2*f**2 - 1. Let k be t(-1). Suppose -k*p + 17 + 1 = 0. Differentiate 3*r**2 + 5*r**2 - p*r**2 + 3 with respect to r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5 + ((-184)\/5)\/(-8). Let g be (-1 - -1) + (-8)\/14. What is the nearest to -1 in b, g, 0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*m - 30 - 2 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -341 - -393. Suppose 17*w = -p - 33. Which is the third smallest value? (a) -3 (b) w (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5097*a**2 + 355*a*n*x**3 + 2*a*n - 165*n*x**3 - 2*n - 296121*x**2 with respect to a.\nAnswer: -10194*a + 355*n*x**3 + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mlqm when four letters picked without replacement from {m: 10, l: 1, q: 8}.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2*y + 3*y + 24, g + 139 = -5*y. Let t = y + 39. Let f be (-3 + -9)*132\/(-144). What is the highest common factor of t and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-375)\/20)\/((-4)\/48). Let o = r + -192. Calculate the remainder when (4\/6)\/((-2)\/(-390)) is divided by o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-432)\/(-81)*(-18)\/16\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36357, 36193, 35919, 35529, 35017, 34377, 33603?\nAnswer: 32689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -168, -683, -1542, -2745?\n\"Answer: -172*x**2 + x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**5 + 7287*q**4 + 93363*q**3 - 2076387*q**2 + 9149310*q - 11872224 = 0. What is q?\nAnswer: -2416, -26, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/16 (b) -23 (c) -31 (d) -277 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.07 - -1.93. What is the smallest value in -3, -0.4, c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14758.65846 milliseconds to weeks.\nAnswer: 0.00002440254375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -231*u + 22. Let c be r(-1). What is the highest common divisor of 110 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 7*h + 2. Let l(q) = -266*q - 77. Determine -6*l(x) - 231*n(x).\nAnswer: -21*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 629*y**3 - 9*y**2 + y + 10. Calculate k(1).\nAnswer: 631","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = l + 5. Let a(r) = r**2 - 5*r + 6. Let f be a(6). Does 19 divide l\/f*1*-141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -414, -1, -4, 3 in increasing order.\nAnswer: -414, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1)**(-8\/9)*(f*f**(-1\/7))\/f**(1\/2) assuming f is positive.\nAnswer: f**(-67\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 19 + 5. Suppose -k*u + 412 = -4*i, 58 + 30 = u + 2*i. Suppose u - 8 = 9*c. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2226*i**2 - 734 wrt i.\nAnswer: 4452*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2 + 6*l + 1. Let m be o(-6). Let p = 94 - m. Let n = p + -32. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -7 - 209\/(-33) - 14\/(-3). Suppose w - 9 = -5*z + 11, h*w - 35 = -5*z. Suppose 13 = 5*s - 7. Sort s, w, 0 in decreasing order.\nAnswer: w, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of 0 + t**2 + 0*t + 0*t**3 - 1\/8*t**4 - 1\/30*t**5. What is the second derivative of s(q) wrt q?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 455612745 to the nearest integer?\nAnswer: 769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 14) to base 15\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -228 times 0.005\nAnswer: -1.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, d: 7}. Give prob of picking 3 k.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14 - -95*12\/(-60). What is the closest to 1\/4 in 5, -0.4, n, -1\/67?\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000417958048 rounded to 7 dps?\nAnswer: -0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1095*a**3 - 2590*a**2 + 1895*a - 400.\nAnswer: 5*(a - 1)**2*(219*a - 80)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4*u + 5 = 3*u, -j - 8 = -4*u. Suppose -j*i + 3 = 3*w - 21, 13 = i - w. Suppose 4*k = -h + 13, 3*k - 2*h = h - i. Solve -7*d = -k*d + 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 800 = -21*u + 176*u + 2195 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.32 take away 22887.5?\nAnswer: -22888.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1864359 to three decimal places.\nAnswer: 0.186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3842486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -2*f + 50. Suppose -3*z + f = 2*z. Solve z*k - 12 = -2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*m - 75917 + 21419 = -453*m for m.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(108) + -1)*-5 + (sqrt(3) + sqrt(21)\/sqrt(7) - sqrt(3))**2 + -4 + sqrt(3) + sqrt(30)\/sqrt(490).\nAnswer: 4 + 1268*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 + -90. Let w = 73 + m. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r - 13. Let b be h(14). Which is greater: 16 or b?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -40*-53*9\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k + 4*p - 3*p - 15, -2*p = -2*k - 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 47 divided by -7\nAnswer: -47\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.2 + 2.2. What is the third biggest value in 0, c, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -253*q**2 + 5*q + 253*q**2 - 7*q**4 wrt q?\nAnswer: -84*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*o - 199, -133 = -o - o - m. Suppose 0 = 4*p + 5*w - 91, -5*p - 5*w = -2*p - o. Calculate the least common multiple of 68 and p.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44 - -133. Suppose s + 13 = n. What are the prime factors of n?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.04 - -0.14. Sort k, -34, 2.\nAnswer: -34, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -537*o + 359*o + 178*o + 6*o**2.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0204772772 to 5 decimal places.\nAnswer: -0.02048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34309?\nAnswer: 11, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence buvv when four letters picked without replacement from {d: 4, b: 2, u: 8, v: 2}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63047 is divided by 3312.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2134 - 1207. Let c = b - -6060. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -4*v - 1. Let j be (-3)\/(v*(-3)\/(-30)). Let s(u) = -u**3 + 2*u**2 + 28*u - 31. Let o be s(-5). What is the greatest common divisor of o and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of -c**5\/30 - 5*c**4\/6 + 4*c**3 - 12*c**2. Let f be q(-11). Solve -5*m - 19 = -j + f*j, 4*m + 16 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 51*b**6 + 1862*b**5 - 590*b**2 + 291 wrt b.\nAnswer: 6120*b**3 + 111720*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 19*r - 213. Give x(12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36402?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**5\/2 - 32807*d**4\/6 + 43732*d**3\/3 = 0?\nAnswer: 0, 8\/3, 10933","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -16*b + 2. Let g(k) = -18*k. Determine g(w(z)).\nAnswer: 288*z - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(19\/5)\/j))\/(j*j**(-2\/69)) assuming j is positive.\nAnswer: j**(-956\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 10*d - 13. Let n be (3 + 1)\/((-2)\/4). Let f be q(n). What is the derivative of 46 - 6*g**4 - 25 - 22 - f*g**4 wrt g?\nAnswer: -36*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55583 to the power of 1\/2, to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 70\/9 + 616\/693*1\/4. Solve -14*j + 9*j - i = -y, 2*j + i - 5 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2039*g - 22447. Determine z(11).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117084 = 613*m - 3274*m for m.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a century in years?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 0.24209.\nAnswer: -0.024209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 172875041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1091 (b) -8214 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmnmddzkmkjknkkmzk. What is prob of picking 1 z and 1 m?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.007 + 0.007. Which is the fourth biggest value? (a) 1 (b) -5 (c) 4\/3 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 2*o**2 - 5*o - 1. Let f be h(-3). Solve f - 17 = 3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 - -22. Let f(d) = 2*d**3 - 2*d**2 - 4*d + 4. Let h(c) = -c**2 + 2*c - 2*c - c**3. Let x(a) = w*h(a) + f(a). What is x(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, 0.2, -1\/8, 205\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2\/(-18) + 652\/36 and 27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10522*m - 10522*m - 90*m**2)*(-2*m - 3*m + 3*m) as j + i*m + l*m**2 + h*m**3 and give h.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/(-357)*7)\/((-217)\/(-31)).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -3*871\/312?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2958 + -3196.6. Let v = h + 239. What is the second smallest value in v, -1, 1\/2, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-9)\/d*d)**(-35) assuming d is positive.\nAnswer: d**315","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of 9*n**4\/2 - 5*n**3 - 7. What is the third derivative of y(h) wrt h?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - 3. Let g = 0.07 + -0.27. Is g greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + z + 239 = -297, -3*z + 12 = 0. What is the highest common factor of 15 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**3 + 64*k**2 + 18*k - 61. Give x(-21).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 n, and 2 j when four letters picked without replacement from {j: 9, m: 1, n: 1}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20120313 (base 4) to base 3.\nAnswer: -1202010120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -8*f**3 - 2*f**2 - 80*f - 827. What is the remainder when n(-8) is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) - sqrt(42)\/sqrt(72))\/(2*sqrt(6)\/sqrt(2)) + (3 + sqrt(63) + 0 - ((sqrt(448) + -2*sqrt(448))**2 - -3*(1 + sqrt(7)))).\nAnswer: -448 + 5*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 5*l - 221. Let w be o(0). Let g = 513 + w. Let u = 422 - g. What is the remainder when u is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(231\/1806) + -41?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*k - 35*k = 128 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 160 and 891072?\nAnswer: 4455360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2940)\/sqrt(6) + sqrt(10))\/sqrt(5).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/56 and 41\/3072.\nAnswer: 21504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of g**3\/5 - 33*g**2\/10 + 72*g\/5 + 113. Factor s(j).\nAnswer: 3*(j - 8)*(j - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j + 75*j + 8*j + 10*j.\nAnswer: 96*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + 19.08. Let h = -0.18 + w. What is the closest to 1\/4 in -5, -0.3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4 + -0.1. Let j be 245\/(-140)*(-248)\/(-1519). What is the nearest to 1 in -1\/4, s, j, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.69 - 0.690000135. Round z to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, x: 1, o: 4, b: 3, q: 1}. What is prob of picking 2 b and 1 a?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3*-11)\/3 - 1. Let v be ((-6)\/(-4))\/((-12)\/16). Let c = v - x. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16022 + 16024. Is 122\/203 less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2735 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 7325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 885926048?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -10\/603?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-26))\/(402\/2613).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 110 - -112. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 922244937?\nAnswer: 3, 4679, 65701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**2 + 2*j - 142. Let w(k) = -k**3 - 5*k**2 + 5*k - 282. What is -5*d(z) + 2*w(z)?\nAnswer: -2*z**3 + 146","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 18*u - 3. What is the tens digit of r(15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 21642, 43270, 64886, 86484, 108058, 129602, 151110?\n\"Answer: -z**3 + 21635*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 - 7. Let r = k + -24. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25 in 0, 2.5, 8, 2\/3, 1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 12*m**2 + 13*m - 26. Calculate n(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8cc02137 + 3?\nAnswer: 8cc0213a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2320, 2319, 2326, 2347, 2388, 2455?\nAnswer: 2554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 = -5*x + 92. Let j be (6689 - x)*300\/9. Round j to the nearest 10000.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 6*r + 5. Let p be w(-6). Suppose -p*t - 3 = -13. Suppose t*f - 5*f = -6. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -3425183847?\nAnswer: 3425183845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-270)\/315*-7*(-1 - -2). Suppose h*z + 4 = 7*z. Is z >= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61395 is divided by 61377.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 8:31 AM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11026439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1236 + 2964 = -72*i for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h + 1. Let g be (-9)\/(-324)*12*(-4 - -1). Let l(a) = 7*a - 8. Let b(x) = -2*x**2 + 2. Let c be b(2). Calculate c*v(o) + g*l(o).\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a + 6. What is the remainder when c(7) is divided by (-8 + 3)*(-54)\/15?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -50, -215, -512, -959, -1574, -2375, -3380?\n\"Answer: -3*a**3 - 48*a**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 158*l**3 - 13*l + 13. Let f(z) = -79*z**3 + 6*z - 6. What is -13*f(y) - 6*v(y)?\nAnswer: 79*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 3\/2, -141, -0.5, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20324 at least 20322?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/(-3) - 1\/(-3). Suppose -4*i + v = -15. Calculate the remainder when 29 is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/18519 and 46\/327.\nAnswer: 2018571","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 255b4d1 + -5?\nAnswer: 255b4ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 92*l + 60*l - 146. Let m(w) = -3 + 4*w - 3*w + 6*w**3 + 2*w - w**2. Give m(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (2 + 4) - (5 + 6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + k**2 - k + 8. Let g be o(0). Let m = g + -1. Let s = m - 2. Solve -s*a = -0 - 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -0*r - 820. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - r - 24 = 0, -j - 2*j = -5*r - 18. Calculate the highest common divisor of j and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 629\/15 or 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + 6*k + 9*k**2 + 5*k - 4*k**2.\nAnswer: 5*k**2 + 9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -2*w - 5*h, -2*w - 2*w - 3*h + 101 = 0. Suppose -w*b = -36*b + 3601. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 38*a + 869. What is j(-27)?\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of 0 - 3\/40*i**5 + 0*i**2 - 15\/4*i**3 + 34*i + 2*i**4. What is l in w(l) = 0?\nAnswer: 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41944?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 27*r + 146 = 5*r + 442, 17*r - 15*r - 32 = 3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = g, 2*g = w - 0*w. Let f be (-290)\/(-14) + (-2)\/(-7). Suppose 1 - f = -4*r. Put r, -3, w in descending order.\nAnswer: r, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, v: 1, f: 6, y: 1, c: 2}. Give prob of sequence fffy.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 19*p**2 - 49*p - 11. Calculate c(-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7938 to the power of 1\/2, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 3) to base 8\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-6)*(-3)\/(-2). Let q be 0\/(-4) + (z - -1). Solve q = 3*h + 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-19)*m**(6\/7))\/(m**17*m*m**(-18)\/m))**29 assuming m is positive.\nAnswer: m**(-3480\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32532.21 litres to millilitres.\nAnswer: 32532210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18\/(-8) + (-1)\/(-4). Is (2\/(l\/119))\/(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + s**2 - s + 38. Let k be i(0). Suppose k = 3*t - t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 14*s**2 - 33*s - 265. Let u be z(-15). Sort u, -2, -1\/2, -19.\nAnswer: -19, -2, -1\/2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -22*g + 376. Let k be a(17). Let r = -9 - -13. Sort 0, k, r.\nAnswer: 0, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 8*v - v**3 - 24*v + 10*v - 2*v**2 in the form d + u*v**2 + o*v + y*v**3 and give o.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5.5995876847+250\nAnswer: 255.5995876847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -860\/69 (b) -6\/53 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 156*z - 4. Let k be h(-1). Let w = 155 + k. Put w, -3, 22 in ascending order.\nAnswer: w, -3, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {o: 8, m: 2, h: 5}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 4*m - 5. Let c be r(5). Let b(v) be the third derivative of v**6\/120 + v**5\/60 + v**3\/3 + 77*v**2 - 4*v. Give b(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in -4, -4\/15, -2, -2\/1187, -5?\nAnswer: -2\/1187","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/(-3))\/(-11*30\/(-220))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ceeeccececee. Give prob of picking 2 e and 1 c.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 12:12 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pdp when three letters picked without replacement from hhdfhvhpddpfhh.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 276*i**3 + 553*i**2 + 13*i + 4. Give d(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-21)\/((-6)\/(-9) + -1). Suppose 0 = -2*i + 5*g + p, -3*i + 78 = -3*g + g. Is 12 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16276519*z**3 - 208749*z**2 + 34*z?\nAnswer: -97659114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*u**2 - 4*u + 2*u**3 - 4*u**3 + 0*u - 13*u**2 as m + f*u + a*u**2 + k*u**3 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o - 1. Let w(i) = -109*i + 63. Let q(t) = -6*r(t) + w(t). Find the first derivative of q(a) wrt a.\nAnswer: -103","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and 2429.\nAnswer: 2428.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 0, 16, 32, 48?\n\"Answer: 16*u - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3267012 divided by 1869.\nAnswer: 1748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 7*y**2 + y + 7. Let o be f(-7). Let x = o - 3. Put 5, x, 1 in ascending order.\nAnswer: x, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) -1.39 (b) 0 (c) -1 (d) 2\/79\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 55, 71, 83, 85, 71, 35, -29?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -229 + 243. Is i at most as big as 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2*(-5*sqrt(112)*1 - sqrt(112)))**2.\nAnswer: 480*sqrt(7) + 16153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 18*z**2 + 13*z + 13. Calculate the remainder when a(-4) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 8:03 PM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4599, 0.5, -5, -0.1, -2?\nAnswer: -4599","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 12 = -633*m + 637*m, -5*d - 4*m - 35 + 11 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 11. Suppose -5*w = -3*n - 13, -3*w + 2*w = 2*n. Suppose j - 8*h + 5*h = -12, -2*j + 8 = w*h. Is u smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 4*x**2 - 3*x - 6. Calculate h(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2. Let w(t) = 35*t - 14. Let p(v) = -52*v + 21. Let b(y) = -5*p(y) - 7*w(y). What is b(k(f))?\nAnswer: -15*f**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c - 1. Let h(t) = 2*t + 37. Let v be h(-19). Let j(m) be the first derivative of m + 4. What is v*j(n) - 2*s(n)?\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 1, 8*v + 3*c = 7*v. Suppose -v*t = -t + t. Solve t = -3*x - 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, b: 5, f: 5, s: 3}. Give prob of sequence ggbf.\nAnswer: 5\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u**2 - 3*u - 2. Let y = 7 + -12. Let o be (1 + -6)*(-2)\/y. Determine l(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -15*z**2 - 15. Let v be a(27). What is v rounded to the nearest 100?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*d - 96 = 2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -9*s**3 + 21*s + 21. Let o be (7 - 4) + 1 + 1. Let i(k) = -2*k**3 + 5*k + 5. What is o*d(j) - 21*i(j)?\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -1\/15*o**6 + 0 + 0*o**5 - 28*o**2 + 5\/6*o**4 - 58*o + 0*o**3. Differentiate i(a) with respect to a.\nAnswer: -8*a**3 + 20*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -o + 4*c, -o + 2*o - c - 33 = 0. Calculate the greatest common divisor of o and 148.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(39) - sqrt(39)*2*1 - (-1*sqrt(3900) + sqrt(3900)))\/(sqrt(108) - (sqrt(108) - (sqrt(108)*-1 + sqrt(108) - sqrt(108))*-2)))**2*4*2.\nAnswer: 13\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 8*p**2 + 6*p - 1. Calculate d(6).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 230.2503 - 140.261. Let b = t + -90. What is b rounded to 3 dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8334 * 1\nAnswer: -8334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 5 + 19)*(3*h**2 + 4*h**2 - 3*h**2).\nAnswer: 108*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -776, -778, -780, -782, -784?\nAnswer: -786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**3 - 101*w**2 + 51*w - 31. Let y be t(50). Solve 7*h + 12*h - y = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 814461137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c + 1. Let o(g) = 9 - 9 - 4*g + 3. What is o(h) - 3*p(h)?\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 2267327?\nAnswer: -6\/2267327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v - 2. Let n(w) be the third derivative of -11*w**4\/24 - 1885*w**2. Calculate n(k(c)).\nAnswer: -22*c + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 200738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-6) - 38\/(-4). Suppose 2 = d - w. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1076, 2213, 3350?\n\"Answer: 1137*d - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.171 - -0.071. What is the nearest to 1 in 2\/17, y, -0.7?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -2*a**2 + 7*a - 1. Let c be v(7). Let i be (60\/c)\/((-2)\/7). Solve -2*f + i = -3*q, 2*q + 0*f + 12 = 4*f for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 f when two letters picked without replacement from {v: 6, s: 1, f: 11}?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 85866*a + 64. What is the units digit of w(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1082*m - 892?\nAnswer: 1082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -27*q**3 - q**2 - 2*q + 1. Let y be a(-1). Solve y = -2*l + 25 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6420 = -341*t - 4776 + 284 for t.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y**2 + 8*y + 5. Give c(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zwwzwbwzbwfwwfzzb. Give prob of picking 1 z, 1 w, 1 b, and 1 f.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -0.42 (b) -3 (c) -0.1 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49712?\nAnswer: 2, 13, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of 7\/4*v**4 - 1 + 0*v**2 - 5\/3*v**3 + 0*v. Find the third derivative of m(k) wrt k.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9 + 35 - 87*o**2 + 4143*o**3 + 26 + 113*o**2 wrt o.\nAnswer: 24858","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 249, 855, 2037, 3987, 6897?\nAnswer: 10959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1230\/7, 2\/3, 0.4.\nAnswer: 0.4, 2\/3, 1230\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of m**7\/252 - 11*m**6\/360 + m**5\/30 - 2*m**4\/3 - 34*m. Let l(y) be the third derivative of g(y). Factor l(k).\nAnswer: 2*(k - 2)*(5*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 224.8 and 0.986?\nAnswer: 221.6528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/8 + 1 - 12\/12. Suppose d + 4 + 1 = 0. What is the third biggest value in d, -3, 2, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 29*d + 89 = 0, d + 16 - 11 = s + 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122790 is divided by 61359?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5186.909um in nanometers?\nAnswer: 5186909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1166137517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + -4 - 32\/(-8)*3. Suppose w*a - 2056 - 288 = 0. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16837 + 25501. Suppose 3*v + 8682 = 2*u + 3*u, u + a = -3*v. Let g = -1842 - v. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 3*w - 2*c, -4*c - 34 + 43 = -w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lkqfs. What is prob of picking 1 l, 1 s, 1 f, and 1 k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + 2. Calculate the least common multiple of 6 and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 n when four letters picked without replacement from uuuunuunuuuuuuun.\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*u + 34\/3*u**5 + 2*u**3 + 0 + 40\/3*u**4 + 0*u**2.\nAnswer: 2*u**3*(u + 1)*(17*u + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggvggaaggggagagavgg. What is prob of sequence vvaa?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - 3519\/(-230)) + 2\/(-10)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**5 + 0*q**5 + q**5 - 15*q**2 - q**5 + 15*q**2 + (0 - 2*q**3 + 0)*(0*q**2 + 6*q**2 - 4*q**2) - 623*q**5 + 1452*q**3 - 1452*q**3.\nAnswer: -630*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-1*sqrt(832) + -5.\nAnswer: -32*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.67 - 3.670167. What is u rounded to five decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b = -39*b + 957. Factor 3*l + 5*l - 10*l - 4 + 35*l**2 - b*l**2.\nAnswer: 2*(l - 2)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 151*w**2 + 289*w - 2575. What is the smallest common multiple of 254 and v(-153)?\nAnswer: 3302","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yhhnykhhhbhhhhhh. What is prob of sequence yhh?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 425979\/18 - 1\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 953836 a multiple of 221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**2\/9 + 146*v\/9 + 680\/9 = 0.\nAnswer: -68, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 106 = -9*g, 13*g - 25*n + 30*n + 25 = 232 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in six fifths of a kilometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, r: 10, v: 4}. Give prob of picking 1 r and 2 v.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/1983608 and -97\/7844268.\nAnswer: 172573896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 187.\nAnswer: 2\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.00109 times 0.05\nAnswer: -0.0000545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 13*v**2 + 9*v - 20. Let z be o(2). What is the third derivative of -z*r**2 - 64*r**2 + 83*r**3 + 139*r**3 wrt r?\nAnswer: 1332","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of 0 + 1\/240*m**6 + 8\/3*m**3 + 3\/4*m**4 - 139*m**2 + 0*m + 1\/10*m**5. Factor k(y).\nAnswer: (y + 2)**2*(y + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 8*l**2 - 7*l + 16. Give b(7).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 d when four letters picked without replacement from {t: 2, d: 4, b: 1, z: 3}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of u**3\/3 + u**2 + u. What is s(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 6*r = -4*r - 16, 0 = -4*k + 5*r - 6. Let c(z) = -z**3 - 3*z**2 + 3*z + 6. What is the remainder when 98 is divided by c(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**2 + 2*y - 3522 + 3522 + 2*y**2 + y**2 - 2*y**2 + (-y + y + 2*y)*(0*y + y + y).\nAnswer: 3*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 6. Let b(w) = -4*w - 3. Suppose -2*h - 3 = r + 3*h, 2*h = 0. Calculate the remainder when b(r) is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 124577 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52 + 390. Suppose 4*v - 158 - u = 0. List the prime factors of v.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.02 + 0.28. Let v = -0.02 - -0.22. Let k = -3 + 5. Put k, h, v in decreasing order.\nAnswer: k, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 15, 29, 43, 57, 71?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b - 10. Let l(u) = u**3 - 5*u**2 - 5*u - 5. Let y be l(6). Let v be 3 + -3 + (-2 - y). Let h = -3 - v. Calculate g(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 - ((-19 - -8) + (-1 - -6) - (0 + -5)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a millimeter in micrometers?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291701082?\nAnswer: 2, 3, 29, 47, 53, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -691, -690, -689, -688, -687?\n\"Answer: s - 692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 39.64568 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express n**3 + 0 - 3 + 3 + 4 + n**2 in the form u + t*n**2 + m*n + j*n**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 6. Suppose 0 = 2*l - 17 + z. Suppose 0 = 5*f - 3*n - 727, 3*f - l*f = n - 425. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 408*l + 0*l**3 - l**3 + 413*l + 491*l - 1312*l.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2. Let y(s) be the first derivative of -s**3\/3 + 16*s + 20. What is y(t(l))?\nAnswer: -4*l**4 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g - 8. Let u(f) = -2*f + 17. Let m(c) = -5*p(c) - 2*u(c). Determine m(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*o - o**2 - 126*o.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 + 588*b - 1782.\nAnswer: 2*(b - 3)*(b + 297)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, 0.2, 2\/35, -3\/206, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(192) + 2 + -4.\nAnswer: -3 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 898323 is divided by 2825.\nAnswer: 2798","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2398 is divided by 80?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 78, 153, 228, 303, 378, 453?\n\"Answer: 75*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 6*g + 5. Let x be j(6). Suppose x*t - 6 = -1. Let m be 10\/(-45) + 94\/18. Which is smaller: m or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/2 - (-2)\/4. Suppose -1 = -j + p. What are the prime factors of (1\/j)\/(2\/292)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 277\/4, -1, 8, 0.7?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 3:39 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 12*j**2 - 11*j + 22. Let w be r(11). Suppose w - 68 = -2*n. What is the remainder when n is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17a307 (base 12) to base 7.\nAnswer: 3333205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-14)*-1)\/(21\/(-1344)*32).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3*142805623\nAnswer: 428416869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30794 - 30794 + 12*x.\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320 = -5*y + 4*v, 5*y + 5*v - 265 = 9*y. What is the tens digit of (1280\/y)\/(4\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3 + 76*x**2 - 384*x + 576.\nAnswer: -4*(x - 12)*(x - 4)*(x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1622, -1646, -1668, -1688, -1706, -1722, -1736?\nAnswer: -1748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in two fifteenths of a decade?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 12:18 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -762*g - 6564 - 13890 - 12851 - 2509 = 0 for g.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 6) + 1 + 3 + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 18 = -4*v, 3*g - 5625*v + 17 = -5629*v for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-5))**(10\/7) assuming c is positive.\nAnswer: c**(-50\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 4. Let s = 147 + -146.97. Which is the closest to 0? (a) s (b) n (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1380472 - 5350709549\/3876. Calculate the common denominator of c and -58\/7.\nAnswer: 27132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1364943 divided by 38?\nAnswer: 1364943\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/25 - 12\/(-10). Let r be (7 - (3 - -1))*a. Solve -4*p - r*j - 1 = 2*j, -4*j - 6 = -2*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401.9171 kilometers in micrometers?\nAnswer: 401917100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.7393 + 1.3393. Let j = -16 + 26. Suppose 0*q - 10 = 5*q. Sort y, q, 3\/7, j in ascending order.\nAnswer: q, y, 3\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 28037, 33009, 41295, 52895, 67809, 86037, 107579?\n\"Answer: 1657*k**2 + k + 26379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 13 - 7\/(-4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -p**5\/4 - 7*p**4\/4 - 4*p. What is the third derivative of y(v) wrt v?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 458631664 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 10 = 0, 120*v - 122*v = 3*p + 7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2))**(30\/7)*((s\/s**10)\/s)\/(s*s**6*s) assuming s is positive.\nAnswer: s**(-186\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1518865330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 122952 - -1\nAnswer: 122953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 13, v: 2, s: 1, q: 1}?\nAnswer: 39\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/18*56644\/(-578).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*p - 64*p + 1723 = -3434 for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of 9*u**5\/100 - 119*u**4\/4 + 392*u**3\/5 + 1182*u**2\/5 + 5291*u. Determine s, given that y(s) = 0.\nAnswer: -2\/3, 2, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 27 - 11*n**2 - 8 - 6 + 19*n - n**3 - 9 as m*n**2 + v*n**3 + j*n + c and give j.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2173334221 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-74)\/(-14) - 4\/14. Suppose 0*q = -q + 4*q. Solve 4*b + n*x + 5 = 0, b + 4*x = -q*x - 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10121 + -2211002?\nAnswer: -2221200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-424)\/(-318))\/(64\/(-528)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 73184 and 84.\nAnswer: 1536864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1015038 or 1015041?\nAnswer: 1015041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.36 times 5.2\nAnswer: -1.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3681442, -7362895, -11044348, -14725801, -18407254, -22088707?\n\"Answer: -3681453*k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 476 and 1274?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -7.8. Let c = 1.7 - i. Let y = c - -2.4. Sort -4, y, 0.4 in ascending order.\nAnswer: -4, y, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.171 - 0.129. Sort 1\/14, -2\/3, u in increasing order.\nAnswer: -2\/3, u, 1\/14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48613011?\nAnswer: 3, 16204337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 804*g - 799*g = 707, -4*k - 2*g + 938 = 0. What is the highest common factor of k and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 9*g - 12. Let i be t(-8). What are the prime factors of (-2)\/(i\/104*4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 19*u**2 + 5*u + 3. Let q be (-6 + (-52)\/(-8))*-2. Calculate the remainder when 286 is divided by v(q).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*l + 10 + 0 = 0, -2*h - 5*l = -55. What is the greatest common factor of h and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -x**6\/120 + 7*x**5\/30 + x**4\/8 + 3*x**3\/2 - 17*x**2 - 2*x. List the prime factors of a(14).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 4*f + 25 = 0, -3*f + 1 + 9 = 2*o. Suppose g - 3 = o. Solve 0 = 6*c - 4*c + g for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/4 and 73\/972780.\nAnswer: 972780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 9, -3*k = -0*k - 4*p - 27. Suppose -2*f - 1 + k = 0. What is the greatest common factor of f and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61138 divided by 3?\nAnswer: 61138\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -2. Let l = 163 + -156. Let q be (23\/(-4) + l)*(-1)\/(-5). Which is the biggest value? (a) r (b) q (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -263120 or -266152?\nAnswer: -263120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 240 divided by -30.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**3\/15 - 68*q**2\/5 + 854*q\/5 + 29768\/3 = 0.\nAnswer: -20, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -20231?\nAnswer: 20220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-108024)\/1286 + (-15878)\/(-189)\nAnswer: 2\/189","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**3\/5 - 134*y**2\/5 + 213*y + 10998\/5 = 0. Calculate y.\nAnswer: -141, -6, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 5:29 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-480)\/224*-7*2\/10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 15*u**2 + 12*u + 10. Calculate o(-14).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3556 - -3503 - (-2 + 4 + -2)) + 18?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390086 is divided by 465?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/((p*(p**(-17)\/p)\/p)\/p*p)*p*((p\/p**13)\/p)\/p*p assuming p is positive.\nAnswer: p**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 48, 82, 128, 186, 256?\nAnswer: 338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -178 - -112. Let a = v - -66.0029. What is a rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4318511 is divided by 715?\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -6*t + 120. 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: Which is the fifth smallest value? (a) -707 (b) 4 (c) 2 (d) -0.4 (e) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: Total of -227842 and 0.3.\nAnswer: -227841.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1501441, -3002854, -4504269, -6005686, -7507105, -9008526?\nAnswer: -10509949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -240 (base 8) to base 5.\nAnswer: -1120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -15. What is the nearest to 0 in 1\/11, 4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1898 divided by -442?\nAnswer: 73\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**4 - 26*d**3 + 130*d**2 - 102*d.\nAnswer: -2*d*(d - 3)*(d - 1)*(d + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2459?\nAnswer: 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 223 - 151. Let l(d) = -56*d**2 + 13*d + 352*d**2 + x*d**2 + 9. Let p be l(-9). What is p rounded to the nearest one thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 35359 + 35353 = b, 2*y + 3*b - 26 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3127 + -3095. Let h be (-14)\/(-3) - 1\/(-3). Solve 4*g + 9 = -h*f - k, -4*f - 32 = 3*g for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 4*z + 6. Suppose 40 = 5*i - 10*i - 3*t, 5 = -2*i + t. Let f be j(i). Solve f = -c - 0*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 7*r**2 + r + 20. What is c(6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*r - 3605 + 1692 - 1043 = 5144 for r.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 10:50 PM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*p**5 + 16*p**5 - 9*p**5 + (4 + 5 + 6)*(-p**5 + 5*p**5 - 2*p**5).\nAnswer: 48*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 100992 and 79168?\nAnswer: 124927104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1583816579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 410057770*c - 99604769.\nAnswer: 410057770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 4*n, -5*d + 0*n - 3*n = 0. Let f be (0 - (-1 + d)) + -5. Let o = -41 - -40. Which is smaller: f or o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2777*i - 1027502. What is y(-370)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*k**2 - 10*k**2 - 8*k**2 + (k + k - 4*k)*(2*k + 0*k - k).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 - -55a7?\nAnswer: 5603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 = 5*v - 358. What is the remainder when v is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**3*q**3 - 2*c**3*q*x**2 + 3*c**2*q**2*x**2 - 21*c*q**3*x**2 - 2*c*q**3*x - 3*c*q**2 - 3*x**2 wrt q.\nAnswer: 12*c**3 - 126*c*x**2 - 12*c*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10 - 2)*(-4)\/12. Let y be 0 + 1 + 2 + 2. Let l be (8\/(-10))\/((-2)\/y). Solve -z + 4*k = -d*z - 14, 5*k = 4*z - l for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -105, -15, -5, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, y: 2, k: 1, p: 7, e: 4}. Give prob of sequence yke.\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1849107.\nAnswer: 3, 13, 17, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 6.3. Suppose 3*w - 15 = -0*w. Let u be (-1 - 3\/(-5))*w. Which is the second biggest value? (a) r (b) u (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 557543077 to the nearest integer?\nAnswer: 23612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 446 + -464. Let m = 8456335 - 8456352.999996. Let y = v - m. Round y to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j + 63. Let m(w) = 21. Let n(x) = b(x) - 3*m(x). Let i(y) = y - 6. Let l(u) = 5. Let v(o) = 6*i(o) + 7*l(o). What is v(n(p))?\nAnswer: -18*p - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*q - 53 + 5. Let n be 4 - -4 - (1 + 1). Let o(c) = 0 - c**3 + c**2 + 5*c - 3 - n*c**2. Determine o(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -6*j - 5*f - 20, -2*j + 5*f = -20. Suppose 0 = 5*m - j - 10. Solve 0*i - m*i = 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-2\/7))\/((s*s\/(s*((s\/(s\/(s*s\/(s*s*s**(-10)\/s*s*s)*s)))\/s)\/s*s))\/s))\/((s*s**(-4))\/s*s*s*s**(2\/9)*s*s) assuming s is positive.\nAnswer: s**(598\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.01*104\nAnswer: -1.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -1 + 0*l + 3*l + 3*l - 2*l**3 + 4*l**2 + l**3. Let b be y(5). Suppose b*z = -5*u + 36 - 2, 0 = 4*z - 4*u - 16. Solve 2*c + 16 = z*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -362, -849, -1654, -2777, -4218, -5977, -8054?\nAnswer: -10449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eenneenneeee. What is prob of sequence enn?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is -119208.28202 rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -x**3\/6 - 5*x**2\/2 + x. Let g be j(-5). Let w = -79935\/2 + 39966. Which is the nearest to g? (a) w (b) -1\/4 (c) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from xxoooorooo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (3*(sqrt(1617) + sqrt(1617) + (1*sqrt(1617) - sqrt(1617) - sqrt(1617))) + sqrt(1617))\/((sqrt(66)*-2*-3)\/sqrt(6)))**2.\nAnswer: 112*sqrt(3)\/3 + 244\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t. Let p be q(-3). Suppose 554*f - 590*f + 108 = 0. Calculate the greatest common divisor of p and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4063968 by 507996.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 9*a**2 + 33*a + 67. Let h(b) = 5*b**2 + 17*b + 34. Let k(d) = 6*g(d) - 11*h(d). Let j be k(13). Suppose 1\/2*f**j - 1\/2*f + 0 = 0. Calculate f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.825273 kilograms in nanograms?\nAnswer: 825273000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.020528 + 262.467.\nAnswer: 262.487528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2 - 73*g + 66. Give p(36).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = i - 12. Factor -3*r**i - 12\/5 + 24\/5*r + 3\/5*r**3.\nAnswer: 3*(r - 2)**2*(r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 1801014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 3:34 PM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a - 231 + 1939 = 0. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 329 divided by -213?\nAnswer: -329\/213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -2\/9, 0, -2.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**4 - 2*w**4 + w**4)*(0 + 0 - 2*w) + 4*w**5 - 2*w**5 - 4*w**5 + 0 - w**5 + 0.\nAnswer: w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**4 - 2*i**4 + 6*i**4 + (3 - 2 + 0)*(-408*i**3 + 408*i**3 - 32*i**4).\nAnswer: -29*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9780731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(637) - -3*-2*sqrt(637)) + (sqrt(637) + -1 + -4 - sqrt(637)) + -5 + -1)**2.\nAnswer: 490*sqrt(13) + 15974","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-4)*(-774)\/(-903).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 - 3e3cd5?\nAnswer: -3e3cdb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 + -66c03?\nAnswer: -66c0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 73*o**2 - 125*o - 553. Calculate n(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 5:01 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + n + 9 = 0, -13*w + 17*w + 2*n = 12. What is the closest to -3 in w, -4\/5, -0.5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by 37146295?\nAnswer: 13\/37146295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6462364 (base 7) to base 10\nAnswer: 788407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*a = -0*a + 34, 0 = -g - 3*a - 12. Let z = 0 - g. Which is smaller: z or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = -9*t + 5*t. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -22*l + 5. Let c(z) = z - 1. Let o(g) = 6*c(g) + d(g). Let m = -3 + 2. What is the remainder when 28 is divided by o(m)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by (3 - 5)*(-20)\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of 21*a**2 + 0*a + 0 + 0*a**3 - 1\/156*a**4 + 1\/130*a**5. Factor v(s).\nAnswer: 2*s*(3*s - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13012 (base 5) in base 8?\nAnswer: 1757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 13*b. Let d(a) = -1606*a + 0 + 801*a + 783*a + 1. Give d(x(g)).\nAnswer: -286*g + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25470.000015221 + 25470. What is b rounded to 6 dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2 - 2*q - 1. Let c be l(2). Suppose 4*w + 12 = 4*d, -4*d - 4*w + 12 = -0*d. Factor d + v**3 + v**2 - c.\nAnswer: v**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/9 (b) 918 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ros when three letters picked without replacement from psooopssrpfrsoj?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 256*295\/330 - (-2 - -2). Let j = 3780257\/16500 - w. Let t = -1\/125 + j. Is t equal to -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cmcccccmbbccmcccc. What is prob of sequence cbmb?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -2. Suppose p*x = 3*d, 18 = x + 4*d + d. Put x, -1, -2 in descending order.\nAnswer: x, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1027, 1026, 1025, 1024?\n\"Answer: -l + 1028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1895 - 1889. Solve 4*b - 5 = 3*w, -13 = -2*w + h*w + b for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**3 - p**2 + 1. Let q(s) = 43*s**3 - 4*s**2 - 7*s - 3713. Let n(k) = q(k) - 8*t(k). Differentiate n(a) with respect to a.\nAnswer: 81*a**2 + 8*a - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 3:30 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -103 + -3?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 13. What is the units digit of (y\/(-2) + -1)*-34?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 16 = -3*i, i - 9 + 5 = -4*o for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**(7\/4)*r*r**3 assuming r is positive.\nAnswer: r**(13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-10))\/((-738)\/(-820))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-37 + (12 - -1) - -28) + 0 + -42.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - ((-14 - -10) + 4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 8*w - 6*w. Sort 1, 0, w, 3 in descending order.\nAnswer: 3, w, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 75 = 8*j. Which is the nearest to 1\/3? (a) j (b) -1\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 139*v**2 - 71*v - 1920. List the prime factors of p(-139).\nAnswer: 7949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -843 less than 557788?\nAnswer: 558631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -67*c + 687. Let m(y) = -104*y + 1031. Let h(x) = -8*k(x) + 5*m(x). Let s be h(13). What is s rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at least as big as 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/(91\/(-156)) - -3. What is the second biggest value in -3, 4\/5, 6, 0.1, s?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 3*c - 387 = -3*q, 0 = -5*q - 5*c + 655. Round q to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54 + -57.1. Let w = -3 - f. Let z = 19505\/4 - 4876. Put -3, z, w in ascending order.\nAnswer: -3, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 14*m + 4. Let q(s) = -5*s + 1. What is 15*q(h) - 3*z(h)?\nAnswer: -117*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 779 - 782.046. Let k = -29.2 + 29.246. Let j = y + k. Sort 2\/13, 1\/18, j in ascending order.\nAnswer: j, 1\/18, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010101001111101110100 + 1100000?\nAnswer: 10010101001111111010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6452 (base 7) to base 3.\nAnswer: -10010212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1352 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from musmssms. What is prob of picking 1 s and 1 u?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -53*n + 163. Calculate x(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -97*i + 98*i - 26, -4*i - 5*a = 65 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1987, 1978, 2007, 2110, 2323, 2682, 3223, 3982?\nAnswer: 4995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -248*t**2 + 30 - 276*t**2 + 721*t**2 - 239*t**2 to k*t + h + c*t**2 and give c.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 6288 divide 1603232496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -100468, -101201, -101934, -102667?\n\"Answer: -733*x - 99735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and 3187211209.2.\nAnswer: 3187211214.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 3) to base 8\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 164, 331, 498, 665, 832?\n\"Answer: 167*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**2 - 40*u + 6. Let y be o(-20). Let z(p) = -p**3 + 6*p**2 + 3*p - 7. Let x be z(y). Solve -10*h + 9 = -x for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1265)\/(-209) + -6 + (7 - 6) + 22060\/(-380)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/7, -9, 33, -2\/973, -1\/6?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23320 - 211?\nAnswer: 23105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/6 (b) 0.07 (c) -28 (d) 4 (e) 3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l**3 - 2*l**2 + 3*l + 7. Let z be 2\/(-1) + 5 + -1. Let s(i) = i**3 + i**2 - i - 4. Let n(f) = z*q(f) + 5*s(f). What is n(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6238031*o**4 + o**3 - 641349*o**2 - 9*o.\nAnswer: 149712744*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-235 - -249) + 6\/(2 + -1). Solve 4*c - 5*f = -12, 2*c - 8 + w = 4*f for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.12, 2\/7, 4, -4, -34, 5, -3 in decreasing order.\nAnswer: 5, 4, 2\/7, 0.12, -3, -4, -34","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 207 = -4*l - 41, -5*l + 5 = 0. Let s = 123 - j. Find the common denominator of 101\/4 and 1 - (26\/4 + s).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 682237420.\nAnswer: 2, 5, 61, 559211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 325.4 - 325.5. What is the closest to -1 in 0.0966, 2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/1470 and -94\/231?\nAnswer: 16170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -305 + -112?\nAnswer: -421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1679598*4.\nAnswer: 6718392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) - (sqrt(1088) - (sqrt(1088)*-2 + 2))) + (-6*1*sqrt(1088))**2.\nAnswer: -16*sqrt(17) + 39170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i. Let p(v) be the third derivative of 0 + 0*v - 14*v**2 + 0*v**3 + 1\/6*v**4. Give s(p(w)).\nAnswer: 16*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 24*q - 252 = 0. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13337966*b**2 + 14232175*b.\nAnswer: -26675932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 256608 divided by 6.\nAnswer: 42768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1193820?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05661 times 0.0086?\nAnswer: 0.000486846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 154831365?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of k**2 - 3*k*m**2 + 150*k - 5*m**2 + 11*m + 1 wrt k?\nAnswer: 2*k - 3*m**2 + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**5\/2 + 209*g**4\/2 - 5067*g**3\/2 - 209*g**2\/2 + 2534*g = 0.\nAnswer: -1, 0, 1, 28, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(1\/20))\/m*m\/m**40*m*m)\/(((m*m**5)\/m)\/m*m\/m**(1\/24)) assuming m is positive.\nAnswer: m**(-4909\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*a + 443 - 443)*(6*a - 2 - a - 3*a)*(-8*a - 15*a - 8*a).\nAnswer: -930*a**3 + 930*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1853, 4, -1\/3, -0.1, -5 in decreasing order.\nAnswer: 1853, 4, -0.1, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44483123.\nAnswer: 19, 2341217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2. Let g(r) = r**2 + 5*r - 4. Let p be -6 + (1 + -1)\/2. Let w be g(p). Let v(o) = -o + w*o - 3*o. Calculate v(f(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-9\/5)\/(c\/(c**(-1\/14)*c))*((c\/(c\/c**3))\/c*c)\/((c\/(c**7\/c*c))\/c))**(5\/6))**(-14\/13) assuming c is positive.\nAnswer: c**(-569\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - n - 2. What is the remainder when 43 is divided by r(3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xepepcpp. Give prob of picking 1 e and 1 c.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from -2910152.181553.\nAnswer: -2910152.581553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -68842 + 2*f**2 + f**2 + 68840 - 10*f - 5*f**2. Give y(-8).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -0.068, 0.5, -655.64?\nAnswer: -0.068","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 453*r**2 - 453*r**2 - 2*r - 5*r**3 + (-r**2 + 0*r**2 + 2*r**2)*(-3*r - 4*r + 5*r).\nAnswer: -7*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, 0, -2\/7, 0.04, 4\/61 in descending order.\nAnswer: 4\/61, 0.04, 0, -0.09, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 - (-3)\/(3 + -4). Suppose 0 = i*b - 9*b + 35. Let z(h) = -h**3 + 8*h**2 - 4*h - 4. What is the units digit of z(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*v + 3*p = -74*v + 4, 3*v + 29*p + 73 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 943234 or 943299?\nAnswer: 943299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3318 and 18?\nAnswer: 9954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.03 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.737838 to two decimal places.\nAnswer: -1.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 492*r**2 + 2219*r + 0 + 966*r.\nAnswer: 492*r**2 + 3185*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6916782, -27667104, -62250966, -110668362, -172919286, -249003732, -338921694, -442673166?\nAnswer: -560258142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -48*z**2 + z + 1. Let u be v(-1). Let p be (1 + 1)\/((-3)\/u). Round p to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, 20, -2, -2\/19, 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0309777 to four dps.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 22*b**2 - 59*b + 19. What is z(-24)?\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2. Let a(d) = -d. Let c(r) = -10*r. Let b(o) = 44*a(o) - 4*c(o). Give w(b(p)).\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1503?\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 5*u + 2. Suppose -3*x - 2*x + 35 = 0. Calculate the remainder when x is divided by b(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.3 - -0.7. What is the biggest value in -1\/5, -3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrkal. What is prob of sequence rkl?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/3 + 88*a\/3 - 365.\nAnswer: -(a - 73)*(a - 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1941, 1922, 1893, 1848, 1781?\n\"Answer: -k**3 + k**2 - 15*k + 1956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + -2 - (-29 - -11). Suppose 18 - 2 = -k*h. What is the remainder when (h + -2)*8\/(-3) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f + 2*f - f)*(0 + 0 - f**2) + (-3*f + f + 7*f)*(-f**2 + 5*f**2 - 3*f**2) to the form w*f + h*f**3 + p + j*f**2 and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5446436 > 5446427?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(1100) + -2*sqrt(1100))*-2)**2.\nAnswer: 4399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-49)\/196)\/((-14)\/112)*86\/(-4)*-1.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -56*h + 159 + 1073 for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - w = 25, -165 = -4*j + w. Let y be j\/140 - 766\/(-14). Suppose 0 = -7*o - y - 8. Let k(s) = s**3 + 10*s**2 + 10*s + 1. What is k(o)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7430, -14859, -22288, -29717, -37146?\n\"Answer: -7429*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1019116 is divided by 84925.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57877 and 68009209.\nAnswer: 1867","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3.928802m?\nAnswer: 3928802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -8*a**2 - 8*a + 9. Let k(g) be the third derivative of -17*g**5\/60 - 17*g**4\/24 + 19*g**3\/6 - 63*g**2. Calculate 6*k(i) - 13*t(i).\nAnswer: 2*i**2 + 2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(-1\/8)*q)*q**(-3\/5))**(2\/7) assuming q is positive.\nAnswer: q**(-59\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -898*v = -672*v + 4520 for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19076614 is divided by 534.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (28*k**3 + 7*k**3 + 6*k**3)*(3*k + 0*k - k) - k**4 + 5*k**4 - k**4 as d*k + x*k**3 + g + t*k**2 + u*k**4 and give u.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.437639 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Is 31324441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (1 + -17) - ((52 - -52) + -160)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 392713.\nAnswer: 499, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 34 = 49. Solve -s*a + 15 = 2*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 1 + 13 = 0. Let n be -1*((-19)\/z - (-1)\/3). Let h(y) = -8*y**2 + y + 6. Let f(p) = -p**2 + 1. What is n*f(w) - h(w)?\nAnswer: 2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -64011.047 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 49?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 + 3*b**2 - 5*b**2 + 2*b**3 + 3*b**2 as m*b**2 + k*b + w + z*b**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-7)\/21*-15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 616.8298l in millilitres?\nAnswer: 616829.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4558892 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 4:09 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)*-2*5 + sqrt(187))\/(3*sqrt(44)\/sqrt(4)).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 206 divided by 1?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3147, -4801, -7627, -11631, -16819, -23197, -30771?\n\"Answer: -z**3 - 580*z**2 + 93*z - 2659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 118, 171, 220, 265, 306, 343?\nAnswer: 376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbc when three letters picked without replacement from {c: 2, m: 3, b: 3, p: 4, l: 2, g: 4}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 16 = 2*r, -8*r = -10*r + 5*j + 20 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/10)\/((-2)\/35*7)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -3. Let u(g) = 65*g - 4. Is u(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (16\/(-12) - 3)*-18. Suppose -3*w - 3*g + 130 = 2*w, g = 3*w - v. What is the smallest common multiple of 20 and w?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y + 5, -246 = 4*r - 5*y - 201 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*s - 9*s + 60 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -3*k - 48, 13*k - 3*h = 11*k - 33. Which is the second smallest value? (a) -1 (b) k (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {o: 4, n: 3, k: 1, h: 5}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of b**4\/12 + b**3\/6 + 8*b**2. Let t be v(-1). Let r be t\/((-2)\/(-72)*-2). Calculate the highest common divisor of 90 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + sqrt(243)*3 - (1 + sqrt(108) + 0)**2)*1.\nAnswer: -642 + 90*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -836 by 23.\nAnswer: -836\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k**2 - 2*k - 2. Let c be i(2). Suppose 0 = -w - 5*q + 17, w + 19 = c*w + 3*q. What are the prime factors of (10\/15)\/(w\/21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from movnxmox. Give prob of picking 1 n and 1 x.\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 -12211, 2\/7, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*j = 11, z + 21 = -2*z - 5*j. Calculate the smallest common multiple of 4*-1*z\/2 and ((-15)\/(-9) - 1)*33.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 105 by -35.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49800472 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(-1)\/(-2)*-2. Suppose v + 58 = r*v. Suppose -3*i + 122 - v = 0. Calculate the remainder when i is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - 3*a + 1. Calculate b(5).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 16 = a. Suppose -a - 10 = -l. Let k = l - 5. What is the remainder when 16 is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4b + -809?\nAnswer: -855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5 = 0, -q - 30 = -4*m + 73. Suppose 5*l = 7 + 43. Let x be (18\/4)\/(5\/l). What is the greatest common divisor of x and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -61? (a) 64\/3 (b) 2\/51 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1376 is divided by 21\/9 - 1 - (-12)\/90*185.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**3 - 3*b**3 - 15*b - 2*b**3 - 3*b**3.\nAnswer: -8*b**3 - 15*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/8*(-1 + 11). Let t(a) = -6*a + 4. Let g(j) = -7*j + 5. Let f(m) = x*t(m) + 4*g(m). Let w(u) = 7*u. Calculate f(w(i)).\nAnswer: 14*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-5*2*sqrt(104) - -3*(sqrt(104) + sqrt(104) + -1*sqrt(104) + sqrt(104))))\/((sqrt(16) - -2*sqrt(16))\/sqrt(2) + sqrt(8) + 6*sqrt(40)\/sqrt(5)).\nAnswer: -4*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 6*m + 42. Let k be t(-10). Suppose 0 = k*i - 2*j - 742, -1137 = -3*i - 0*j - 5*j. List the prime factors of i.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.035 - 4.965. Let t = -3 + 3.1. Suppose -2*p + 7*p + 22 = 2*o, -5*o + 5*p = -25. Which is the closest to t? (a) n (b) 2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 5*f - 5\/2*f**2 - 19 + 1\/3*f**3. Suppose -5*z + 15 = -5*u, -4*z - 9 = -5*z - 5*u. Give o(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 2*w. Let v be s(1). Let m(x) = -5*x**2 - 3*x + 5. Let l(f) = -f**2 + 1. Let k(a) = v*m(a) + 4*l(a). Is 13 a factor of k(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -456042 divided by 456042\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 12:41 AM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from huphprhjupjhuhgpuupr. Give prob of picking 2 u.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + t = 2, 2*m - 4*t = -t + 19. Let k = m - 4. Let l(b) = -3*b - 1. Let o be l(k). Let d(z) = -z + 2. Give d(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -1896*s - 217. Let a(z) = -631*z - 78. Determine -11*a(v) + 4*d(v).\nAnswer: -643*v - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -369*g**4\/2 + 324*g + 232. What is the derivative of m(p) wrt p?\nAnswer: -2214*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1\/28, 0.2, 3\/11?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of w**5\/60 - 25*w**4\/24 + 13*w**3 + 2*w**2 - 252. What is f(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 10.3. Let j(l) = -l**3 + 22*l**2 - 37*l - 55. Let h be j(20). Put h, t, -0.8 in ascending order.\nAnswer: -0.8, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -766*v + 26353. What is q(35)?\nAnswer: -457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4\/4 + 33*t**3\/2 - 7501*t**2\/4 + 3717*t\/2.\nAnswer: t*(t - 59)*(t - 1)*(t + 126)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6247, -6248, -6249, -6250, -6251?\n\"Answer: -g - 6246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -59*i**2 + 1 + 59*i**2 + 4*i - 2*i**3 in the form m*i + h + y*i**2 + c*i**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 70737 or 70756?\nAnswer: 70756","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47 + 7 + 2*h + 13*h**2 + 10 + 28 to a*h + p*h**2 + k and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -40803 divided by 40?\nAnswer: -40803\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1\/(2\/(1 - -1)) + 14 and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 39 - 2*k**2 + 93 - 41.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 642.67 - 680.5. Let i = h - -38. Let o = 0.05 - i. Round o to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 3*f + 2 = 0, 2*c = -13*f + 9*f for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -807, 1480, 5267, 10554, 17341, 25628, 35415?\nAnswer: 46702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 13*s**2 - 743*s + 4570. What is y(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.05 + -8.85. What is the closest to 1 in z, 3\/122, -2\/15?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of 10*q**3\/3 - 3*q**2 - 11*q - 11. Let p be u(-4). Suppose -2*d + 39 = -p. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (20\/(-35))\/(6*1\/(-7)). Let j = -0.9 + 2. Let s = -1.6 + j. What is the second smallest value in -2\/23, n, s?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3438?\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8691829 to the nearest integer?\nAnswer: 2948","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22177547 + 13875547. What is b rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 7*m - 2*m)*(4 + 30*m - 4)*(11 - 10 + m - 10).\nAnswer: 60*m**3 - 540*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*k - 348 = -66*k + 93*k for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 350*m - 612. Give q(6).\nAnswer: 1488","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/((-144)\/(-12)) - (1 + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 918645 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/5*-17*2\/(-238).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -221 + 564. Let u = 577 - s. Does 26 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kp when two letters picked without replacement from pyffk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -5\/2*j**4 + 0*j + 0*j**2 - 8\/3*j**3 + 8. What is the third derivative of l(k) wrt k?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8860, -2, 2 in descending order.\nAnswer: 8860, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*p**3 + 1209*p**2 - 2541*p + 390.\nAnswer: -3*(p - 65)*(p - 2)*(6*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from oeoe.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 12*w + 27. Suppose -w*o - a = 2*o - 747, -5*a - 586 = -4*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 312603033.\nAnswer: 3, 353, 295187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 5*i + 10. Let t be 75\/4 + (-12)\/16. Suppose 0*f + 3*v - t = 2*f, 4*v = 3*f + 25. Sort 3, i, f.\nAnswer: f, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330422009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/24*-4)\/(21\/12). Put s, -96, -0.3 in decreasing order.\nAnswer: s, -0.3, -96","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*k + 743 - 138 = 92 + 172 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00457 rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -5*z. Let w(o) = 13*o + 46720. Give s(w(q)).\nAnswer: -65*q - 233600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, -0.9, 29?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*a + 46*a - 5*a + 37*a.\nAnswer: 95*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1909345 is divided by 18359.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9868, -12054, -17992, -29560, -48636, -77098?\nAnswer: -116824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 239 and 239 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven eighths of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 t, and 1 h when three letters picked without replacement from {q: 1, f: 5, t: 2, h: 2, z: 5, p: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -o**3\/6 - 12*o + 1. Let q(g) be the first derivative of w(g). Let a(v) = -8*v. Calculate q(a(y)).\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**3 - 13*x**3 + 7 + 6*x**3 + 8*x**3 - 21.\nAnswer: -2*x**3 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 6*u = 10. Suppose 0 = -2*a - a + 3. Suppose 0 = -n + 4*n - 5*v + 37, -a = -n - v. Sort u, n, 0 in descending order.\nAnswer: 0, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 0) + (79 - (-627100)\/(-5600) - (-3)\/(-168))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of 2*w**3 + w**2\/2 - 4. Let f(p) be the third derivative of -p**5\/60 - p**4\/24 - p**3\/6 - 3439*p**2. Give -f(g) - u(g).\nAnswer: -5*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**24\/(f\/(f*f*f\/(f*f**(-30)\/f))) assuming f is positive.\nAnswer: f**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45 - -46. Let y be 5 + 0 + m + -3 - 154. Let j = 312 + y. Does 23 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -38*l**3 + 2*l**2 + 2*l + 1. Let d(x) = -x**3 + 7*x**2 - 6*x + 5. Let b be d(6). Suppose 5 = -3*k - w, b*w + 9 = -k + w. Does 13 divide n(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356 is divided by 327.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -4*s + 83. Let k be d(20). Let z(y) = 5*y**2 + 9*y - 31. Calculate the remainder when 136 is divided by z(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 2\/53 (c) -1\/7 (d) 3.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1566 + -152407\nAnswer: -153973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*z**3 - 10*z**2 - 2614 + 1300 + 1297 - 2*z**3 - 3*z**3 + 4*z**3 + z**3 - 5*z**3 + 2*z**3 + (-z**2 + 2*z**2 - 2*z**2)*(3*z - 5*z + z).\nAnswer: 4*z**3 - 10*z**2 - 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 108, 654, 1982, 4434, 8352, 14078?\n\"Answer: 57*i**3 + 49*i**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 7:35 PM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 2, 19410, -5 in decreasing order.\nAnswer: 19410, 4, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -2*x**7\/105 - x**6\/15 + 4*x**5\/5 - 7*x**4\/3 + 10*x**3\/3 - 1439*x**2. Factor b(l).\nAnswer: -4*(l - 1)**3*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -1 + 4 + 33*j + 63*j + 44*j + 4. List the prime factors of p(9).\nAnswer: 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j - 112 = 32 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 238 a factor of 1788106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1819807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of w**6\/6 + 42*w**5\/5 + 441*w**4\/4 + 165. What is x in i(x) = 0?\nAnswer: -21, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10978 rounded to the nearest one hundred?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 6:37 AM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 6*d + 1. Let p(m) = -m**3 + 12*m**2 + 15*m - 18. Let q be p(13). Let o be i(q). Let l = -3 + o. List the prime factors of l.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5720*o - 11439*o = -5587*o - 13068 for o.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -11. Let h = 37 - 23. Let d = h - 3. Solve d = -b*o + 2 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*d**3 + 2 - 182*d - 103*d + 22*d - 4 + 9*d to the form k + x*d**3 + z*d**2 + s*d and give s.\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -13*p + 18. Let s(q) = -5*q + 6. Let i(r) = 3*j(r) - 8*s(r). What is i(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1170+-44\nAnswer: 1126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 315.2 + -313. Let b = h - 2.1999744. What is b rounded to six dps?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20735 and 6587495?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001917366 to five decimal places.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 416 or 2916\/7?\nAnswer: 2916\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t**3 - 307*t**2 + 477*t + 6779. Calculate a(-78).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*a - 0. Solve 8*b + 3 + a - 5 + 2*b**4 - 6*b**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -175 + 1015. Factor -17*f**2 - 160*f**3 + 86*f**2 + 66*f**2 - t*f - 980 + 155*f**3.\nAnswer: -5*(f - 14)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h = 14*h + 120. Let v be 16\/h - (-33)\/15. Solve 0 = 2*q - 3 - v for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m = 9858*p - 9855*p - 5, -p + m = 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**3 - 12 + 12 + 3*x + 0*x**3.\nAnswer: 2*x**3 + 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 66*v**2 - 15*v - 30. Let k(r) = -9*r**2 + 2*r + 4. Let h(x) = -2*b(x) - 15*k(x). Suppose -3*j = 2*j - 70. Let c(g) = 14 - j + 14*g. What is c(h(l))?\nAnswer: 42*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 143.\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 4*w, -5*t + 3*w + 35 - 6 = 0. Let z(y) be the first derivative of 0*y**t + 1\/2*y - 1\/3*y**3 + 1 + 1\/10*y**5 + 0*y**2. Factor z(i).\nAnswer: (i - 1)**2*(i + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 246 + 176230?\nAnswer: 176476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 1)\/(-5*324\/450)\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**5\/13 + 20*k**4\/13 - 288*k**3\/13.\nAnswer: 2*k**3*(k - 8)*(k + 18)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 11*j + 39. Let z be s(-3). Suppose 2*n + 8 = -2*n - t, 0 = -3*n + 3*t - z. Let d(u) = u - 1. Calculate d(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4110, -4120, -4132, -4146?\nAnswer: -4162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -422764 by 4.\nAnswer: -105691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 10, 12*y - 7*y + 4*n = 20725. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 30*d = -13*d - 41 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 1:59 PM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 12\/181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 6*s**3 - s**2 + 2*s - 1. Let q be j(1). Suppose 6 = -2*v - 4*r + 148, -q = 3*r. Suppose 0 = 5*n - 8*n + v. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.7 - 2.4. Let g = h + 0.735. What is g rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - i - 25922, f = 3*i + 1953 + 6701. Is f a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221 (base 5) to base 2.\nAnswer: 111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 431, 3276, 10957, 25892, 50499, 87196, 138401?\n\"Answer: 403*w**3 + 24*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1957801801?\nAnswer: 1013, 1932677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 3*r - 2*h, 5*r + 3*h + 4 = 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2853 + 2921. What is the highest common factor of 17 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k + 2. Let c(w) = 16*w + 2. Calculate -c(n) + 2*p(n).\nAnswer: -12*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*i**2*k*l + 8*i**2*k - 63*i**2*l**2 - 18*i**2*l + 17*i*k*l**2 - 2*i wrt k?\nAnswer: 10*i**2*l + 8*i**2 + 17*i*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x. Let h be j(0). Suppose 2*g = -u + 1163, h*u = g + u - 581. Suppose 1324 = 4*p + 4*v, 4*p + 3*v - g - 746 = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 558*b**3 + 6*b - 1. Let w(k) = -558*k**3 - 5*k + 1. Let f(a) = -3*h(a) - 4*w(a). Let o(n) = 8*n - 47. Let c be o(6). Is f(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4.2, 3, -6, -1, 4, -20?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1)\/u)**(-32))**(-6) assuming u is positive.\nAnswer: u**(-384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 438807 to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 4 - 14. What is the third derivative of d*f**6 + 4*f**2 - 8*f**6 + 3*f**6 wrt f?\nAnswer: -360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2087 + 3758*v + 2088 - 6259 + 2084.\nAnswer: 3758*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -9*f + 11. Let z be j(-19). Suppose -9*w + z = -7. What is the remainder when 40 is divided by w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49 - (-10 - (129 + -79))\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -6\/414794137 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 102509360 to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -8*t - 1. Let u be j(-2). Suppose 2*x + u = 3. Calculate the least common multiple of 14 and 1*(-32)\/x*3.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6 (b) -7 (c) 597 (d) 9 (e) -2\/3 (f) -0.14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 39\/7 (c) 0.0282 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -962 = -9*a - 205 - 215 - 308 for a.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14439*f + 14440*f = -14 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -267776 + 96399179\/360. What is the common denominator of l and -7\/310?\nAnswer: 11160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -343*r - 292. What is the hundreds digit of h(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 430*h**2*i + 496325*h**2 - 399*i**3 - 2 wrt i.\nAnswer: 430*h**2 - 1197*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**3 - 2*w**2 - 2. Let n(m) = -m**3 + 4*m**2 + 5. Let k be n(4). Suppose 0 = o + k + 1. Let b be o*(-2)\/18*3. Give q(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -60 in -21, 61, 3, 8, -3?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57\/(-228)*(0 - -124).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0*z = 5. Suppose z*l = -2*p + 14, 4*p = 5*l + 3 - 5. Solve -12 = n + p*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -742000 to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.173 * 0.09.\nAnswer: -0.10557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222020 + 11222?\nAnswer: -210021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18560 and 560.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3973090 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 133, -5, 6, 0 in descending order.\nAnswer: 133, 6, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u - 10. Let s(d) = -3*d + 29. Let n(m) = 3*s(m) + 8*z(m). Give n(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 168 - 696. Let c = r + 53. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5 - 0.3. Let w = 0.8 + -4.8. Let x = 4.1 + w. Sort p, -0.2, x in decreasing order.\nAnswer: p, x, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18506724?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -32, -2\/3, -0.2.\nAnswer: -32, -2\/3, -0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+-2174733072963\nAnswer: -2174733072963.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.755 - -0.045. Let x = m + -2.8. Which is the closest to -3? (a) 2\/15 (b) 4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -5, -12, 7, 6787.\nAnswer: -12, -5, -1, 2, 7, 6787","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 365\/60873 - 3\/394. Which is greater: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -2\/43, -478\/9, -0.07, 6?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**2 + 3*r + 2. Let p be q(4). Let v be (2\/p)\/(2\/(-4)). Which is the closest to 0? (a) v (b) 3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - 3 - (2 + 2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - f**3)*(-3*f + 5*f + 0*f) - 3585*f**2 + 3585*f**2 - 480*f**4.\nAnswer: -482*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q - 1. Let m be z(-5). Let c = 14 + m. Suppose p = -0*p. Put -5, c, p in ascending order.\nAnswer: -5, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2381*q - 3*q**3 - 3 - 2381*q - 5*q**2. Let y be z(4). Let v = -157 - y. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1310 is divided by 421?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rjjjrjjjjrjjrrjrjjj. Give prob of picking 1 r and 3 j.\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -367*k**6\/120 + 6*k**4 - 2212*k**2. What is the second derivative of z(n) wrt n?\nAnswer: -2202*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/((-3)\/2))\/(2\/(-4)). Suppose u*i = -2*v + 6*v - 300, 0 = v - 3*i - 73. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of v**6\/120 - v**5\/6 + v**3\/2 - 10*v**2. Determine b(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2070391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from adadlllddladadaaadl. What is prob of sequence ldll?\nAnswer: 35\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16693 + 717802\/43. Sort b, 3, 0.5, -3.\nAnswer: -3, b, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + x - 1079, 347 = 2*j - 4*x - 727. Calculate the remainder when j is divided by 124.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 7 + 2 = -3*x, 0 = -2*x + 5*v - 25. Suppose -6 + x = -3*y. Differentiate 5 - 3 - 3 - y*w**4 wrt w.\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/42647512 and 57\/203860.\nAnswer: 213237560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + u**2 + u + 1. Let l(o) = -3*o**3 + 12*o**3 - 15 + 25 + 10*o + 6*o**3 + 10*o**2. Determine l(c) - 10*n(c).\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x - 5*l + 5, 0 = -x + 2*l - 4*l + 11 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -b**6\/6 + b**5\/5 + b**4\/4 - b**3\/3 + 18. Factor h(w).\nAnswer: -w**2*(w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -270d + 5e?\nAnswer: -269e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**4 - 26*d**2 - d**4 + 6398*d**3 - 6440*d**3 - 108 - 252*d - 157*d**2 = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90 and 50.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002305 to seven decimal places.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 + 7bbcc?\nAnswer: 7bbd5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 36842 to the power of 1\/2, to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*u**3 + 42156 - 42156 + 2*u**2 - 2*u**4 + u to s*u**3 + c + h*u + q*u**4 + i*u**2 and give s.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + (-72)\/8 + 8 + 4. Sort d, -2, 0.14, -4, 1\/3.\nAnswer: -4, -2, 0.14, 1\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-189)\/(-18)*(-3 + 13). Calculate the greatest common divisor of 390 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 243.746134 to the nearest ten.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -717 - 4*a + 49*a + 716 + 4*a**2 + (1 - 3 + 1)*(-2*a**2 + 3*a**2 + 0*a**2).\nAnswer: 3*a**2 + 45*a - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 5*x + 4. Let b be f(5). Suppose -b*c + 0*c = -8. Suppose c*k - 5*y - 67 = 0, -11 = -k - 3*y + 50. List the prime factors of k.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 7, 3\/7, -6\/7, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4066 (base 8) to base 6\nAnswer: -13422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 278 divide 461788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 3*d - 1. Let o(t) = t**2 - t + 4. Let s be o(0). Let m be i(s). Suppose -m*z = z - 40. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 86975.27l?\nAnswer: 86975270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-72)*12\/10?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22956 and 102.\nAnswer: 390252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3*k = 1713, 13*y - 8*k - 1254 = 10*y. What is the smallest common multiple of y and 12?\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 252 by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (25344\/(-572))\/((-1704)\/5538)?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 878017 and 2408.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3 + 9 - 11*v**2 + 0*v**2 - 1 + 4*v**2. Let j(x) = 11*x**2 - 8. Determine 8*a(k) + 5*j(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((-3 - -2)\/((-3)\/(-18))). What is the smallest value in l, 2\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20087 at most 20086?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 13*o**2 + 18*o + 16. Let w = -10 + 24. What is the tens digit of b(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44 - -39. Let m be -4*2\/(5\/p). Suppose -3*z = z - m. What is the smallest common multiple of 14 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 9889531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 f, and 1 m when four letters picked without replacement from {x: 2, m: 1, z: 1, f: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 74 = -y. Differentiate -x - y*x - 21*x - 10 with respect to x.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15.51*-67946.\nAnswer: 1053842.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 d, and 2 g when four letters picked without replacement from {h: 1, p: 1, g: 4, d: 2}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 837*t**2 + 15904*t + 15. Let z be v(-19). Let g = 8 - 41\/5. Which is the second biggest value? (a) z (b) g (c) 4\/7 (d) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 c when two letters picked without replacement from gghhchnhchcg?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10505508 to the power of 1\/3, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 70. Let v = l - -91. Let w = v + -26.000012. Round w to six dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (105\/(-25))\/((-488)\/(-5490) - (-2)\/18).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6\/29 (b) 88 (c) 1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 41*x + 2166. Calculate the remainder when 1669 is divided by v(-52).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b + 14. Let n be s(-6). Suppose 0 = n*z - 4*z + 200. Suppose -j - 4*j = -z. Calculate the greatest common factor of 5 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/48? (a) 17 (b) -3 (c) 1\/4 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207428*n - 207428*n + 0*n**2 - 7*n**3 + 0*n**2.\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 198 and 2257113.\nAnswer: 148969458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*t + 5 = -9*t, 2*t = 0. Let j(b) = 10*b + c*b - 23*b + b. Suppose 2*a + 14 = -a + 2*p, -5*p = 5*a - 10. Calculate j(a).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/25067969?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 36*b. Let m be h(4). Suppose m + 14 = 2*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dtft when four letters picked without replacement from fibiefbbidiiitfbbitf?\nAnswer: 1\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4652 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - 2) + 2 - -5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91 (base 12) to base 8.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6637\/2 - 3319. What is the third smallest value in 0, f, -2\/5, -382, -2\/11?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12329532 divided by -684974?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, q: 3}. Give prob of sequence qqqy.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 589*a**6\/2 - 344*a**3\/3 + 1949. Find the third derivative of j(b) wrt b.\nAnswer: 106020*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = -l - 3*f, -5*l + 2*l = -5*f + 163. Let j = -8701 - -8650. Let g = j - l. What is the remainder when 34 is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -7. Let z be 3\/(2 + (-1 - 0)). Suppose -f*h = 2*p - 6, -p - z = -h + 6*h. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-64)\/(-30) - (-26)\/(-195). Suppose 8 = -2*a, -a + o = -4*r - 10. Let g = -4 - -3. Sort 5, r, g in increasing order.\nAnswer: r, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 9:36 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2456 + 2457.567. What is y rounded to one decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8.1 and -0.05.\nAnswer: 0.405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-246)\/(-50) - (10 + -7*(-180)\/(-125)). Suppose 64\/3*v**2 + 0 + 32\/3*v**4 + 24*v**3 + 20\/3*v + 4\/3*v**j = 0. What is v?\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 17, -341, 2 in descending order.\nAnswer: 17, 4, 2, -341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*n - 8*n - 3*n**2 + 0 + 0 - n**2 - 1 + 1 + 2*n**2 + (-2*n - 2*n + 2*n)*(-n - 2*n + 5*n) + 4*n**2 - 6*n**2 + n**2 + 0*n - 2*n**2 + 0*n.\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2340 by -260.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 take away -1364441609?\nAnswer: 1364441632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30622837*h*y**2 - h*y - 4*h + 7*y**2 + 5050*y + 2 wrt y?\nAnswer: 61245674*h + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 82192527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 249, 503, 759, 1017, 1277, 1539, 1803?\nAnswer: 2069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (46 - 3) + -136 + -50 + 177?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**5\/15 - 2*u**4\/15 + 26*u**3\/15 + 2*u**2\/15 - 8*u\/5 = 0. What is u?\nAnswer: -4, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3309 + 30*d**2 - 7*d**2 - 10*d**2 - 6*d**2 - 10*d**2 to the form u*d**2 + n + q*d and give n.\nAnswer: 3309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f. Let k be t(2). Find the second derivative of -3*p + k*p**4 - 2*p**4 - 4*p**4 - 5*p wrt p.\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 181.4 + -195. Let x = 5982 + -5968.708. Let o = x + v. What is o rounded to 2 decimal places?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 8) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xkxkxxxk. What is prob of sequence kx?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11.8? (a) -8 (b) 1 (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -9 + 0 - (0 - (-10 - -19)). Solve 4*y + 2 - 19 = 3*z, 3*z - 10*y + 47 = m for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(743 + 145*b**4 - 743) + 2*b**4 - 3*b**4 - b**4.\nAnswer: -147*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 7*v - 6. Let d(x) = -15*x + 13. Let r(q) = 13*b(q) + 6*d(q). Suppose -2*f = 182 + 80. Let h = -130 - f. What is r(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 5*l - 4 - 4*l**2 + 4*l**2. Suppose 12 = -6*v + 4*v. Let k be i(v). Solve -5*p = -k*t + 5, -2*t - 2 + 8 = -4*p for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31980 and 41.\nAnswer: 31980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216063830.\nAnswer: 2, 5, 61, 127, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 450 - 318. Calculate the greatest common factor of 22 and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v\/((v\/(v*v**3*v*v))\/v))))\/v)**27*(v*v\/v**3)**38 assuming v is positive.\nAnswer: v**124","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-29)\/(-5))\/(3\/15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 15. Let m(z) be the second derivative of -2\/9*z**3 + 1\/15*z**5 + 0*z**h - z + 0 + 1\/3*z**2 - 1\/45*z**6. Suppose m(q) = 0. Calculate q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -7 - 5. Suppose n + 4*c - 8 = c, 3*n = 3*c + q. Solve 5*b + n - 20 = -5*u, 6 = -3*u for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + a - 527, -3*a - 168 + 1041 = 5*y. Suppose -4*u - y = -153. Sort 0, u, -5.\nAnswer: u, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.226, 2, -3\/7, 2\/33?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2336 + 28393. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26.5 - -50.1. Let i = 12.6 - o. Which is bigger: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + c = 11650, -733*d - 2*c + 11650 = -728*d. Does 36 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.12 * -0.4.\nAnswer: -0.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 12*p - 272. What is the remainder when p is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 64 = -3*f - 8, 200 = 3*h - 5*f. Calculate the remainder when (100\/6)\/((1276\/261)\/44) is divided by h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 61, 100, 175, 298?\nAnswer: 481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.83 - -16.27. Let x = 19 - u. Let l = 1 - x. Sort 3\/5, l, 2.\nAnswer: l, 3\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/13 (b) -0.39 (c) -0.1 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 4*k = 8, k + 503 = -2*b + 496. Let n = 4 + -4. What is the nearest to n in b, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c0 - -1aa7?\nAnswer: 19b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11.156417 and 3.\nAnswer: 33.469251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2. Let s(k) = 8*k - 65. Calculate s(m(w)).\nAnswer: 8*w**2 - 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**4\/5 + 132*x**3\/5 + 2178*x**2\/5 = 0?\nAnswer: -33, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**3 + 2*s - 2*s - 2*s**3 + 3*s**3 - 2*s**3 - 2 + 2*s**3 + 2 + (-5*s + 3*s + 0*s)*(-4 + 4 + 2*s**2) + 12*s + 36*s - 19*s - 2887*s**3 - 29*s.\nAnswer: -2888*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f - 29050 = -56*f. Round f to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -13*j + 14. Calculate i(5).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 4*h - 2 = -5, -8 = -4*f - 4*h for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 0 (b) 3 (c) -6637 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*i + 0*i**3 + 3\/8*i**4 + 0*i**2 - 3\/8*i**5 + 0.\nAnswer: -3*i**4*(i - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from csscsvsdvsss. Give prob of picking 1 d, 1 s, and 1 c.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 205080 and 269520.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2830 - 8e54?\nAnswer: -b784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4287*b + 5*n = 4276*b - 34, -5*b + 2*n + 23 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 14*a - 29. Let t be i(16). Suppose t*b + b = 5*k + 84, -4*k = 16. Is 2 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/281 and 14\/5.\nAnswer: 1405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/((-63)\/(-36))*(-4)\/16\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*(2 + 38\/(-3)). Suppose 5*z - 110 = -15. Let h = -11 + z. What is the greatest common factor of h and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.5, 4, -0.13, 2, -0.1?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4692 divided by 2\nAnswer: -2346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b + 177*b**2 + 3 - 6*b + 1 - 5 + b. What is the remainder when w(-1) is divided by 32?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1487 + -1486.97026. Let k = -0.97 + 1. Let i = x - k. What is i rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ozobpzbwob. Give prob of sequence zwo.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 22 = -1. Calculate the remainder when (-6)\/h + (-748)\/(-28) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f - 2*f + 7*f. Let x(t) be the third derivative of 7*t**4\/24 - 17*t**2. What is x(d(z))?\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 9*k**2 + 23*k - 2. Let y = 2694 - 2689. What is v(y)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmue when four letters picked without replacement from elmlullllmlemmlululm?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*y = 310*y - 688 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 858 divided by 39.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 7*q + 20. Let j be n(5). Let m = j + -57. Let i(y) = -2*y - 1. Calculate i(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19300.93 rounded to the nearest one thousand?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1674 and 2000988.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1215799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 501 is divided by 72?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22.7 + -25. Let z = n - -6.3. Which is the second smallest value? (a) z (b) -0.2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -49266\/5 + 97611\/10. Let t = -942\/7 - -3095\/14. Let b = t + i. Calculate the common denominator of b and -6\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -365*r - 1099264 - 531665 = -478*r. List the prime factors of r.\nAnswer: 3, 17, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 4:25 AM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -116*u + 127*u - 689150. Is u a multiple of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - (-1 + -1)) + -6 + 9. Suppose -5*p + 52 + 38 = 0. Suppose o + 3*v + 5 = -2, p = o - 2*v. Solve t*n = 3*n - o for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.18*-10872.208.\nAnswer: -1956.99744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 + -35. Sort -2, i, -2\/5.\nAnswer: -2, i, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.5 to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 256?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**2 + 8301*a - 4167702 = 0. Calculate a.\nAnswer: -3201, 434","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 4*v + 3. Let n = -218 - -370. What is the remainder when n is divided by b(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 23614201?\nAnswer: 23614205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -0.2, 1\/59, -6119, -2\/27?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2072065.59 microseconds to weeks.\nAnswer: 0.000003426034375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -195594 (base 10) to base 14\nAnswer: -513d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 80*u**3 + 222*u**2 + 2306626 wrt u.\nAnswer: 240*u**2 + 444*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -38*q**2 - 16*q - 3. Let n(t) = 25*t**2 + 10*t + 2. Let h(k) = -5*d(k) - 8*n(k). Let a(c) = -10*c**2. Determine h(a(w)).\nAnswer: -1000*w**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.194549 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -c**3\/3 - 27*c**2\/2 - 15*c. Is h(-20) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 6*o**2 + 7*o + 5. Let r be u(7). Suppose 3*g = -2*p + 2109, -2*g = -5*g + r*p + 2088. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1278 = 101*f - 268 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7216 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -218377 smaller than -218377?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.1339861ug?\nAnswer: 0.0000000001339861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4155 - 9*h**5 + 27*h - 4155 wrt h?\nAnswer: -180*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y - y - y - y. Let u be b(2). Solve 0 = 3*w + u*w - 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1214320 (base 6) to base 2.\nAnswer: 1111101111101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-24893)\/(-74679))\/((-2)\/132)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 29*h**2. Let k(i) = 83*i. Calculate k(w(a)).\nAnswer: 2407*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -171, -307, -431, -537, -619, -671?\n\"Answer: y**3 - 143*y - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -745646 + 745648.700264. Let x = 2.7 - l. Round x to 5 dps.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7 - (-1 + -3)) + (-182)\/(-51). Let j = h - 4\/17. What is the closest to j in 0, -1, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 10:23 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 341839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9509.83 litres?\nAnswer: 9509830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177739 is divided by 9869.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -31*v**2 - 2*v - 1. Let a = 9 - 10. Let t be c(a). Let d = t - -53. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 224 and 2632?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 10*a = 27. Suppose 0 = 2*q - 0*q + 6. Let m = -2 - q. Solve 7*p - 2*p + 3*b - a = 0, b - m = 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 4:23 AM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 8*s - 3*s - 340, -5*j + 5*s + 780 = 0. Calculate the remainder when j is divided by 42.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b = 4*b + 2480. Let f = 351 - b. Suppose 2*k - 3*v - f = 0, -k - 3*v = 4*k - 310. Is k a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*i - 203*i - 30*i + 19*i.\nAnswer: -120*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14885 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**4 + 23760*t**3 - 23778*t**2 - 118824*t - 71289 = 0 for t.\nAnswer: -7921, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 979595.2mm to centimeters.\nAnswer: 97959.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x - 1. Suppose 0 = 7*u - 284 + 32. Let k(g) = u + g - 54 + 32. Let p be k(-11). Let b(r) = 9*r - 3. Give p*h(n) - b(n).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - 64 - -32 - -24?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 312728 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1749.\nAnswer: 3, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of u**4\/12 + u**3 - 5*u**2. Suppose 0*d + 4*d - 440 = -4*o, 4*o + 2*d = 442. Let z be o\/(-15) + (-4)\/(-10). Give i(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**4 + 111*h + h**2 - 111*h + (-4 + 4 + 2*h**4)*(1 + 1 - 3).\nAnswer: h**4 + h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-428)\/6 + 2)*315\/(-6). Let z(l) = 5 + 3639*l**2 - y*l**2 - 1. Let q(p) = 2*p**2 - 9. What is -6*q(k) - 14*z(k)?\nAnswer: 2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -408*o + o**3 + 4*o**3 - 7*o**3 + 4*o**3 + 38*o**2.\nAnswer: 2*o**3 + 38*o**2 - 408*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/6*(-27)\/(-12). Suppose m*v - 3 = 9. Suppose -5*u - 25 = -5*l, -u + 2*l = 6*l - 20. Solve u = v*c - c - 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/z**(-2\/11)*z**(1\/3)*z\/(z**(-5\/2)*z)*z*z**(2\/11))\/(z**(2\/47)*z*z\/((z*z**(5\/2))\/z))**(8\/9) assuming z is positive.\nAnswer: z**(61453\/9306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 2*v**2 + 5*v**2 - 8 - 6*v - v**3 + 5*v. Let o be x(-2). Calculate the greatest common factor of 55 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 69022*u - 5 = -69020*u, -68 = -4*u - 11*u - 0*u - 23 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 946323523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*q + q. Suppose 4*k = 4 + 4. Suppose -19 = -3*x - 5*w, -7 = -5*x + q*w - k. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 6496\/12227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 4*q - 1. Let n be r(3). Suppose n*d = -3*d + 25. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 43*v - 121. Let t(s) = -86*s + 202. Give 5*t(j) + 9*w(j).\nAnswer: -43*j - 79","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 566 + -562. Let v = 0.04 + 0.09. What is the third smallest value in h, v, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmtmrmmtmmmmpmr. What is prob of sequence trt?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 518067368 to the power of 1\/2, to the nearest integer?\nAnswer: 22761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 5*v - 5*b, 2*b + 81 = -5*v + 74 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.3 + 19.5.\nAnswer: 18.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -78, 2, 4 in decreasing order.\nAnswer: 4, 2, -3, -5, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**4\/8 + 353*a**3\/8 + 351*a**2\/8 - 353*a\/8 - 44 = 0.\nAnswer: -352, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -239 + 239.523. What is t rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 9*x. Let q(d) = 17 - 17 + 4*d**2 - 24*d**2. Give q(r(g)).\nAnswer: -1620*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 + -18. Let x be (3*l\/(-3))\/(-1). Let h(p) = -7*p**2 - 2*p + 1 + 5*p + 2*p + p**x + 7. Give h(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23.8448 + -23.9. Round u to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -689*r**2 + 2102*r**2 + 2*r - 679*r**2 - 674*r**2.\nAnswer: 60*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2589, 9932, 22029, 38880, 60485, 86844?\n\"Answer: 2377*j**2 + 212*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*p - 46*p - 2*l - 713 = 0, p - 2*l = 133. Calculate the remainder when 295 is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3 - 8 + 2 - 2 - 6*b. Let s(d) = 3*d + 3. Suppose -2*t + 25 = 3*t. Give t*s(a) + 3*x(a).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4884 and 888?\nAnswer: 9768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 371*v. Let d(f) = 2*f**2. Determine d(j(i)).\nAnswer: 275282*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5629, 21267, 46919, 82591, 128289, 184019?\n\"Answer: d**3 + 5001*d**2 + 628*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*h + 118*h + 112 = 0. Let g(q) = -2*q + 94. What is the hundreds digit of g(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/20 - 0)*1005\/134?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 7*m**2 + 8*m - 4. Let a be o(8). Let r = a - -7. Let p = 16 + r. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.1831 + 4.4029. What is u rounded to 2 dps?\nAnswer: 11.59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -5*q + 8, 3 = 2*q + 3*n - 4*n. Let r be 1*3 + (11 - 9). Suppose 4*y - 2*y - 13 = 5*u, -r*y + u = 2. What is the closest to -1 in q, -2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((1320\/75)\/11)\/((-4)\/(-10)). Let q(j) = j**3 - 6*j**2 + 10*j - 5. What is q(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38909?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 12931?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -36 (b) 2\/5 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 161258424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 106 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 95426 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -846 + -46?\nAnswer: -88c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g + 12. Let r be 13\/26 + 1\/(-2). Determine s(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6282863815?\nAnswer: 5, 30781, 40823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.559 and -87.\nAnswer: -48.633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 7*t + 80. Suppose -5*c = -70 + 20. Is j(c) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362796 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8620*p**2 + 2978*p**3 - 2967*p**3 + 8626*p**2 - 17245*p**2.\nAnswer: 11*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/53654180 and 47\/1860?\nAnswer: 160962540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4*v = -0*q - 64, 96 = 5*q - 4*v. Calculate the least common multiple of 12 and q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -271297377618 - -271297376095.00000859. Let v = f - -1523. Round v to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 9*m - 18. Let z be 1649\/m + ((-75)\/(-27) - 3). Let a = z - 89. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37550000 rounded to the nearest one million?\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4771828, -4771830, -4771832, -4771834, -4771836, -4771838?\n\"Answer: -2*w - 4771826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*a + 5*a = -10*a + 30*a. Which is smaller: 7\/32 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3409 is divided by 104.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, 2, 21\/8, -2, -19?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3 + sqrt(13) + (sqrt(13) + sqrt(13)*5)*2.\nAnswer: -4 + 13*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 3. Let n = l - -3. What is the biggest value in 2\/7, -7, n?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -4, 1\/829, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.9248, -7.7, 7?\nAnswer: 0.9248","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v - 10. Let z be c(-7). Let u be (z\/(-18))\/((-8)\/(-6)). Let a = 0.5 - -4.5. Sort u, 1\/4, a in ascending order.\nAnswer: u, 1\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 979 and 67729.\nAnswer: 745019","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.01 + 2.99. Let c be (30\/(-18) + 1)\/((-96)\/54). Sort s, 2, c, -1\/4 in descending order.\nAnswer: s, 2, c, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 156 and 180?\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/3)\/g**(-2\/7))**(3\/4)*(g**(-3)*g**(-5\/4)\/g*g)**41 assuming g is positive.\nAnswer: g**(-4887\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 2\/9, -5, 0.2101.\nAnswer: -5, 0.2, 0.2101, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 342?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1360*b + 1318*b - 294 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 64591\/13 - 4969. Which is the fourth biggest value? (a) n (b) 5\/3 (c) 0.6 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 7*p + 3. What are the prime factors of j(3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 102\/4*(-6)\/(-9). Let c = 3 + -7. Let b = c - -7. Solve -l = 3*y - 13, b*y + l = -l + w for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*f + 5*f**3 + 2*f**4 - 8*f + 14*f in the form q*f + m*f**3 + k + a*f**2 + d*f**4 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 629c99 (base 13) to base 16.\nAnswer: 2332f7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -18.051708 and -0.02.\nAnswer: -18.071708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(135)\/sqrt(5))\/sqrt(9) - sqrt(384)\/sqrt(8).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4\/5 + 68*y**3\/5.\nAnswer: -y**3*(y - 68)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -6*((sqrt(832) - (1 + sqrt(832) + 1)) + sqrt(832))**2.\nAnswer: -5020 + 192*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-105)*3 - (-6)\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -8 + 5. Suppose -5*s + 63 = 5*g - 92, 0 = g - z. What are the prime factors of s?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -4)*((-1)\/(-2) + -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.708764 decades in months?\nAnswer: 565.05168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*c*f*w**2 - 2*c*f*w + 73*c*w + 2*f*w**2 + 131*w**2 - 3*w + 5 wrt w?\nAnswer: -46*c*f + 4*f + 262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbggbibbbbvgg. What is prob of picking 2 g?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 49 = -56. Let a = o - 28. Let m = 10 - a. Solve 5*d - m*i + 7 = -0*i, 4*i - 15 = d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 719 + 713 = 0 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/10 of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.27 - -2.27. Let n = 19 + -18. Which is the biggest value? (a) n (b) 15 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - 0. Which is the closest to 0? (a) 0 (b) i (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 3:35 AM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 2)\/(2\/66) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240 + 685 = 5*i. What are the prime factors of i?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 11*y**2 - 9*y - 19. Let m be g(11). Which is bigger: m or -116?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1366 - 1364 - 4*l**3 + 2730 - 1785*l**2 + 2*l**3.\nAnswer: -2*l**3 - 1785*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 48322 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -14*(-19)\/133*4\/18\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -503 - -509. Factor 2*l**4 - 8*l**2 - q*l**2 + 3*l**2 - 7*l**2 - 4*l**3 + 2*l**2.\nAnswer: 2*l**2*(l - 4)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a decade in years?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of b - 18. Let u(c) = c - 8. Give -4*g(j) - u(j).\nAnswer: -j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4 - 13 = 0. Let s(n) = n**2 + 6*n - 23. Let w be s(t). Let a(j) = j**3 - 3*j**2 - 5*j + 2. Give a(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 184.\nAnswer: -55.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 + (-25 + 23 - -17) - -19 - (-88 + -1)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a day in hours?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) - sqrt(13))*1 - (-2 + sqrt(13) + 1) - (sqrt(78) - sqrt(78)*-2*2)\/(sqrt(6) + -3*sqrt(12)\/sqrt(2)))**2.\nAnswer: 15*sqrt(13) + 2929\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -20, 18*r - 19*r + 2*g = -19 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -4*l**5 + 412*l**4 + 526656*l**3 + 6253632*l**2 = 0?\nAnswer: -308, -12, 0, 423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -4 - 5) + -2 + 4 - 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -8. Suppose i + 3*i = 16. Sort i, a, -5 in descending order.\nAnswer: i, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.47? (a) 1 (b) -2080 (c) 0.1 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*h - h - 5*h + (3 + 1 - 5)*(2*h - 4*h + 4*h) + (56 - 98 - 306)*(0*h + 2*h + h) in the form j + d*h and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 8*i**2 + 11*i + 18. Let v be m(-9). Suppose v = 21*u - 18*u - 9. Which is the third smallest value? (a) u (b) -1\/9 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**3 - 206*y**2 - 217*y + 558. Determine q(104).\nAnswer: -378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.271 - -0.371. Which is the biggest value? (a) o (b) -0.17 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l + 2*l + 2*l)*(-2 + 5 - 1)*(7366*l**2 + 467306264*l - 467306264*l) to o*l**2 + y*l + i + k*l**3 and give k.\nAnswer: 29464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -392430 - 0?\nAnswer: -392430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fjkckkkfjjggffkgkk. What is prob of picking 3 j?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -16.6.\nAnswer: -33.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -429.57 and 5.\nAnswer: -424.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 15171 + 1669 = -4*f, 0 = -4*f + 3*r + 13477. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 461.0324 litres to millilitres.\nAnswer: 461032.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/240 and -29\/880.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/2 - 15\/(-10). Find the second derivative of 4*q**4 - 3*q**m + 5*q - 4*q wrt q.\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 318*j - 25443. Determine b(80).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (3 + sqrt(700))**2)*-5 - (2*sqrt(6776) + sqrt(6776) - sqrt(6776))\/(-2*sqrt(1152)).\nAnswer: -3555 - 3589*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -51 - 42. Calculate the highest common factor of 341 and v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107, -138, -195, -290, -435?\nAnswer: -642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 195069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 + -0.1. Let g = 0.748 + -0.348. What is the nearest to n in 2, 1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19485 is divided by 106.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4491 - 4470 - (-1 + -26)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 26712 and 26836 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*i + 20 + 7. Let k be i\/27*3*-9. Which is the smallest value? (a) k (b) -4\/3 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 96 - 92. Solve q*u - 28 = 4*y - y, -3*u = y - 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1512236 (base 11) to base 10\nAnswer: -2594400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -5*z - 12. Let x be s(-23). Let v = x + -101. Solve -4*f = -3*r - 2*r + 45, 2*f - v*r + 20 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25\/34 + 4\/17. Let u = -1283 + 1285. What is the fourth biggest value in 5, -0.7, o, u?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of 0*g**4 + 0*g + 3\/4*g**2 + 3\/5*g**5 - 1\/4*g**6 - g**3 + 11. Factor a(n).\nAnswer: -3*n*(n - 1)**3*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2001*z + 6003. Determine m(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence whw when three letters picked without replacement from dwhwwhdhwwhh?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4240 - -114410\/27. Calculate the common denominator of p and 91\/18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l - 5*l - 57*l = -231. Which is the fourth smallest value? (a) -0.1 (b) l (c) -2 (d) 4.51\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*g - 4*d - 3 = -23*g, 0 = -g + d + 3. Solve -g*u + 13 = -52*n + 54*n, -5*n - 30 = -5*u for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in -2, -0.501, -0.039?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 234578883 divided by 245119.\nAnswer: 957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 116632 - -26?\nAnswer: 116661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 58*k**4\/11 + 24802*k**3\/11 + 210194*k**2\/11 + 26458*k + 105588\/11 = 0. Calculate k.\nAnswer: -419, -7, -1, -18\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b**2. Let u(a) = -22*a**2 + 7*a + 3. Let j(d) = -20*d**2 + 5*d + 2. Let c(f) = -3*j(f) + 2*u(f). What is m(c(i))?\nAnswer: 768*i**4 - 96*i**3 + 3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 211142 and 320542?\nAnswer: 61864606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((1 + 0)\/2)\/((-22)\/(-88)). Suppose w*y - 1770 = -4*r, 2*r + 3*y = 4*r - 889. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooop when four letters picked without replacement from {o: 9, p: 5}.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 + 3323341?\nAnswer: 3323353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and 5536487562884?\nAnswer: 5536487562884.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 2*t + 36, 0 = 4*d - 9284*t + 9289*t - 9 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -646 - -6039?\nAnswer: 5393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/4829 and -31\/350?\nAnswer: 1690150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-32)\/(-4) + (-741846)\/(-8) + 42\/(-24) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jp when two letters picked without replacement from {j: 2, p: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 70*m - 198. Determine k(-67).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 173919988*n**2 - 423911401 with respect to n.\nAnswer: 347839976*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -o + 5*g - 9, 2*g - 10 = 0. Suppose 5*z + 163 = 3*f, 2*f - 6*f + 209 = -5*z. What is the remainder when f is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 4*y**2 + 4*y - 5. Calculate the remainder when 32 is divided by b(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 311099\/5340 - 11\/1335. Let g = 58 - j. What is the closest to g in -0.3, 1, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39 (base 15) to base 7\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 23*j**2 - 2*j - 20. Let r be x(-23). Let k(h) = h**2 - 3*h - 1. Let l be k(7). Differentiate l - r - 19*o + 16 wrt o.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -996 - -1000. Solve 3*t - 2*z = z - 9, 0 = -4*t - 4*z + d for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 502 - -8*(-5)\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s + 81*s**3 + 25*s + 119*s**3.\nAnswer: 200*s**3 + 18*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1808611074?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 11:03 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + o - 207. Let u be s(-15). Let y(t) = 11 + u*t + 21 - 15 + 13. Calculate y(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 + 11*d - 6.\nAnswer: -(d - 2)*(4*d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1423, 2500, 3209, 3550, 3523, 3128, 2365?\nAnswer: 1234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 61dd (base 14) to base 12\nAnswer: 9907","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -358*-35.77\nAnswer: 12805.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 11:35 AM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 2. Let d(n) = 2*n**3 + 3*n**2. Let v(j) = j**3 + 2*j**2. Give b*v(i) - 3*d(i).\nAnswer: -i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-4\/3))\/q**(2\/21)*(q\/(q\/q**0))**(-39))**(-4\/11))**(-1\/19) assuming q is positive.\nAnswer: q**(-12\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1451.5943 + 1.8057. What is i rounded to the nearest 10?\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 13*g. What is y(12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (20\/(-15) + 3)*(-36)\/(-20). Suppose -o + 1091 = 4*o - 4*b, i*b = -2*o + 441. Is o a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1834 is divided by 39?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o. Suppose 2*z = 5*v + 5, 4*z - 21 - 4 = -5*v. Suppose -3 = -z*u + 2. Let m(n) = 1479*n - 1 - 753*n - n**2 - 722*n. Give u*m(t) - 4*a(t).\nAnswer: -t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 59, -7, -42 in increasing order.\nAnswer: -42, -7, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -757*b**2 + 11 - 9 - 5*b + 337*b**2 in the form m*b**2 + l + n*b and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-45) - (-93137)\/(-99). Let o = 942 + i. Which is the closest to -1? (a) o (b) 3\/2 (c) -3\/4 (d) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**3 - 3*c**3 + 7*c**3 + ((31*c - 3*c + 3*c)*(3*c + 2*c - 6*c) + c**2 + c - c)*(-2*c - c + 4*c).\nAnswer: -22*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, u: 2, b: 2, v: 2}. What is prob of sequence bdu?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 + 10 = -5*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -69, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 + 40 = 6*q + 22 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -344*s**3 + 50*s - 319*s + 269*s.\nAnswer: -344*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55054 is divided by 10966?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -127 + 127.212. Round u to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*q + 11. Suppose -2*g + 2 = 0, -q*g = 5*f - 0*f - 22. Suppose -3*c - 305 = -5*z - 5*c, 3*z - 169 = -f*c. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00307430568 to four dps.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 418266115.\nAnswer: 5, 83653223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/2)\/(-3))\/(3\/18).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -w**4\/12 - 23*w**2 - 1. Let k(a) = 2*a + 2. Give p(k(i)).\nAnswer: -4*i - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -14948522 times -5?\nAnswer: 74742610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 2*i + 10, 5*l + i = -2 + 11. Let x(m) = -26*m + 629. What is the least common multiple of x(24) and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 16*y**2 - 57*y - 18. Calculate the smallest common multiple of m(10) and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 4*u + 4*z + 6, 0 = 4*u + 4*z. What is the units digit of (-2 - (-57)\/3)\/u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -7. Suppose -109 - 6 = -5*k - v*p, 0 = 5*k - 3*p - 150. Is 9 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.05842 to two dps.\nAnswer: -6.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -212, -1, 0.3, 0.1.\nAnswer: -212, -1, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 17. Let u be o(-5). Let a be (u\/10)\/((-2)\/(-10)). Solve -5*l = 2*m - 3*m - 22, -a*m + 12 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -828217 - 1245018 = -17*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-42)\/32)\/((-45)\/(-165)) and -161\/450?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 53 + 46 - 121 + 4*q + (-5 + 4 + 3)*(0*q + 3*q - 2*q).\nAnswer: 6*q - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 46, 3, 2 in ascending order.\nAnswer: -5, 0, 2, 3, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 41*c + 466. Give u(17).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*j + 127 = -16*d - 59*j + 112*j, -3*d - 4*j - 9 = 0 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 n when two letters picked without replacement from {n: 5, r: 2, j: 3, e: 2}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*t**(3\/10)*t))\/t)\/t**(-21))**(2\/85) assuming t is positive.\nAnswer: t**(11\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6319298.\nAnswer: 2, 3159649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i = 4*i - 21. Let l(m) = 5 + i - 2*m - 12 - 7. Determine l(-12).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10\/2571 or -0.5?\nAnswer: 10\/2571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -42 - (0 - (129 - 43))\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 13*s**2. Let n(x) be the third derivative of -x**5\/15 - 7*x**2. Determine d(n(b)).\nAnswer: 208*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0 (b) -0.0382 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334 is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-4 + 6 + -3 - 3) - 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39013789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -99637651*p**5 - p + 2517046 wrt p.\nAnswer: -1992753020*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.95562 + 145605.\nAnswer: 145606.95562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zwhg when four letters picked without replacement from {w: 6, h: 5, g: 2, z: 3, k: 1}?\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 163929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106982.\nAnswer: 2, 149, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 373342363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence op when two letters picked without replacement from opfhphohohiooohihh.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -143 + 153. Solve 5*j - 6 = 5*t - 21, -k = -2*t for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 minus 2135991.908?\nAnswer: -2135991.878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1975169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -11*k**4\/42 + 89*k**3\/42 - 2*k**2\/7 - 2*k + 5. Factor t(p).\nAnswer: -(p - 4)*(22*p - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4180451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*p**2 - 21*p**2 - 10*p**5 + (-p**2 + 5*p**2 - 3*p**2)*(0 + 0 - p**3) - 20*p**4 + 6*p**5 + 20*p**4.\nAnswer: -5*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fpfpppufpppuppppfu. What is prob of sequence pf?\nAnswer: 22\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45.000126 + -45. What is n rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -7*w**2 - 6*w - 10. Let k(o) = -40*o**2 - 38*o - 62. Give -38*i(f) + 6*k(f).\nAnswer: 26*f**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/81 and -92\/2085.\nAnswer: 56295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of 23*t**6\/6 - 5*t**2 - 24. Find the second derivative of r(a) wrt a.\nAnswer: 460*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 44 = -0*t. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 29\/2 of a milligram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 17*k**3 + 204*k**2 - 2*k - 21. What is r(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -7*s + 4. Let m be 138\/(-120)*-4 - 4\/(-10). Give w(m).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8 - -1 - (-2 - -4)*2. Solve -r - f = -5*s, 2 = 4*r - s + 3 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eaeetate. What is prob of picking 1 t and 1 a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-108)\/(-50))\/(321\/2675)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -146681, -293358, -440031, -586700, -733365, -880026, -1026683?\nAnswer: -1173336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 60 = -478. Let m = g - 272. Sort m, -7, 4 in descending order.\nAnswer: 4, m, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a decade in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -340.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158 + 2886 = -162*u - 2928 - 2290 for u.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19168820?\nAnswer: 2, 5, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -482700.1 to the nearest one thousand.\nAnswer: -483000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -902834*m**3 - 1806592*m**2 - 904682*m - 924 = 0. What is m?\nAnswer: -1, -462\/451417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, -2 in decreasing order.\nAnswer: 6, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-10) - (-1492)\/30. Let b = d + -443\/9. What is the third biggest value in -3, 2, 1\/10, b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 69\/8 in -2\/17, -0.24, -1\/5, -1\/3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103 divided by -1.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 6*v**2 + 6*v - 3. Let n be g(-7). What is the derivative of 2*r**2 + 7*r**n - 2*r**2 + 2*r**3 + 15*r**4 + 64*r**4 - 166 wrt r?\nAnswer: 344*r**3 + 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*((-2)\/(-26) + 1995\/2964).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 10*h**2 - 21*h + 1. Is x(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(-2 + 5) + 3. Suppose -w*v = -8 - 16. Calculate the remainder when 37 is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, 3\/4, -0.5 in descending order.\nAnswer: 3\/4, -4\/9, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 1211*p + 486*p + 5.\nAnswer: 1697*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -21\/71, 2\/7, -1, -10591?\nAnswer: -10591","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33909 is divided by 91?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 5*c**2 - 5*c + 28. Is l(7) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + r = 6, 3*t - 4*r + 4121 = 4124 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 5*q - 4318 = 1656, -u + q = -2987. Which is greater: 2988 or u?\nAnswer: 2988","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nzwqauwqqqnuaz. Give prob of picking 1 w and 1 n.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3740?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/12*-26 + (-6)\/36. Suppose -m = 2*m. Suppose 48 = -m*i + w*i. Is 15 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 + -37. Is 3 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 2 = -3*p + 6*r, 222*p + 226*p + 4*r - 16 = 452*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-3)\/v**7*v**(-4)\/((v\/((v*v*v*v**(5\/6)*v)\/v*v))\/v)*v*v**(-1\/5)*v\/((v\/v**3)\/v*v)*v\/((v\/v**6)\/v)*v**4\/v assuming v is positive.\nAnswer: v**(139\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 0.2, 66, -4, -17?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 4*w - w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2. Let h(f) be the third derivative of -f**4\/2 + 5*f**2. Determine h(b(r)).\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 - -0.0399961906.\nAnswer: 80.0399961906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 22248392.3 to the nearest 10000.\nAnswer: 22250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**2 - 3 + 3 + (0 + 0 - 2*l)*(4*l + 0*l - 5*l) - 2*l**2 - 35 + 22 + 25.\nAnswer: 2*l**2 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -10*x**2 - 3*x - 5. Let h be q(-1). Is 7 <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c - c. Let b = 46 + c. Does 8 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 6*m = 5*m + 25, -21 = -4*q - m for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, c: 4, g: 2}. What is prob of sequence gjgj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 463 - 463. Suppose b = 28*x - 87 + 31. Solve -3*u = 4*y + 13, u - 4 = 5*u + x*y for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z + 4. Let t(s) = 7*s - 2. Calculate k(t(u)).\nAnswer: -21*u + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.7, -0.06, 46416 in decreasing order.\nAnswer: 46416, 0.7, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 217. Let c(f) = 580. Let s(u) = -3*c(u) + 8*l(u). Let v(y) = y + 1. What is -s(i) - 4*v(i)?\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/79 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4162218811 rounded to 5 decimal places?\nAnswer: -0.41622","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence up when two letters picked without replacement from {e: 1, p: 1, o: 4, s: 3, u: 6, i: 5}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3554, 14189, 31902, 56687, 88538, 127449, 173414?\nAnswer: 226427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-7) + (-1800)\/(-70). Let p = 31 - s. Suppose 4*u - 3*t = -t + 12, 4*u = p*t. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1633*n**3 - 167 - 91 - 58 - 124 wrt n.\nAnswer: 4899*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -58*l + 2. Let f(y) = -118*y + 4. Give -3*f(n) + 7*w(n).\nAnswer: -52*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-236)\/(-3540))\/(4\/(-660))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + w = -3*q - 105, -4*q - 558 = -5*w. List the prime factors of w.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 61\/2*g**2 - 84*g**3 + 69\/2*g**4 + 22*g**5 + 0 - 3*g = 0.\nAnswer: -3, 0, 2\/11, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 274457?\nAnswer: 274457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002757514 rounded to 5 dps?\nAnswer: 0.00276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 327 + -71. Let d be 0\/(-1) + (-4)\/((-2)\/1). Differentiate -2*x + d*x - q + 270 - 14*x**3 wrt x.\nAnswer: -42*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1167884*m**2*n**2*y + 2*m*n**2*y - 1308*m*n**2 - 25*m*y - n*y + 2 wrt m?\nAnswer: -2335768*n**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -15*c - 10*c**2 + 3 + 15*c**2 - 4. Let u(b) = -b**2 + 3*b. Let v(t) = -6*h(t) - 33*u(t). Let v(k) = 0. What is k?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 0 - (-1 + -5). Suppose 3*v + 11 = o, 2*o - b*v = -v + 21. Let a(f) = -f**2 + 2*f + 2. Let h be a(0). Solve -o = -3*c - h for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, 98604, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/31317 and -37\/7787.\nAnswer: 18758883","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 7871 = 2*i, -13097 = -0*l - 5*l + 2*i. What are the prime factors of l?\nAnswer: 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.2, -7\/13, 5?\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 106*c**2 - c. Let n be a(1). What is the highest common divisor of n and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*z**3 + 231*z**2 - 24848921*z wrt z.\nAnswer: 162*z + 462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 33*u - 21*u - u**2 + 1 to the form x + k*u + y*u**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/112 and 149\/336?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 193343789 + 985100.\nAnswer: 194328889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 42\/22039 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 136799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 4*s - 12 = 0, 5*s - 4 - 6 = 5*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**13*q)**47\/(q*q\/(q**10\/q))**(-4\/25) assuming q is positive.\nAnswer: q**(16422\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7\/2, 61, -1, -0.1?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 113d?\nAnswer: 113d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*u**4 + 93*u**3 + 133*u**2?\nAnswer: 72*u + 558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2 - 749 + 366 + 378 - 5*r + 0*r**2. Calculate h(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -1085*j**2. Let t(r) be the first derivative of -r**3\/3 + 3940. Determine t(z(y)).\nAnswer: -1177225*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3*k - 5*k)*(346269*k**3 - 523*k**4 - 346269*k**3).\nAnswer: 1046*k**5 + 1046*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8999865.9s in hours?\nAnswer: 2499.96275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p - 7*p - 2*q + 1920, 3834 = 2*p + 2*q. Does 58 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 13 - 5) + (28 + -12 + -12 - -2).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*u + 2040 - 1675 = -3265 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + 517*(-48)\/528?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18097614*c**2*s**2 + c**2*s + c*s**2 - 39019603*c*s wrt c.\nAnswer: -36195228*s**2 + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m*(m**(-3\/2)\/m)\/m)))\/m)\/m**(2\/3)*(m**(-2))**(5\/8) assuming m is positive.\nAnswer: m**(-65\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1994 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 737*t. Let l(g) be the first derivative of 2*g**3\/3 + 295. Determine o(l(h)).\nAnswer: 1474*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o**2 + 266*o + 6408. Suppose -183 = -n - 2*n. What is the remainder when p(-41) is divided by n?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 6:12 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-31)\/(8060\/40) - 189\/(-91). Let g(t) = t**2 + 2*t + 2. Let q be g(-2). Does q = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 24355 = -5*h, 5*h - 4*h - 4877 = 2*f. What is the hundreds digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than -109966107227623?\nAnswer: -109966107227628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -6 (b) 12\/7 (c) 1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 3) to base 4.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 5*d**2 + 50*d + 80 = 0.\nAnswer: -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 3 + 12 = 0. Suppose 0 = -4*r - 4*c + 24, -3*c = -5*r + b*r - 13. Solve 2*u + 8 = 3*o + r, -9 = o + 5*u for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19856 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*6*(sqrt(352)*6 + sqrt(22))\/sqrt(2).\nAnswer: 900*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*b = 119*b - 9 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 22*z - 44. Let m be p(-20). Sort 18, m, 2, -3 in decreasing order.\nAnswer: 18, 2, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -13. Let h(w) = w**3 - 7*w**2 - w + 8. Let r be h(d). Let s = r - -10. Calculate the remainder when 32 is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/(-10)*700\/(-231) and -65\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/(-3) + (-56)\/12. Which is the third smallest value? (a) -5 (b) -0.2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5054821*r**2 + 1875539*r.\nAnswer: -10109642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174418.\nAnswer: 2, 37, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 p, and 1 k when three letters picked without replacement from rpxmzkm.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 525\/27 - 10\/(-18)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22725440 and 128?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/799 and 53\/1276802.\nAnswer: 1276802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4199508 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*z**2 - 60*z**2 + 7763*z - 7765*z.\nAnswer: -171*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1786 less than 2.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(486) + sqrt(486))*-3)\/(sqrt(6)\/(1*sqrt(3)) - sqrt(56)\/sqrt(7)).\nAnswer: 54*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 645 and 95024070?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 280 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 298 - -522. List the prime factors of d.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddd. Give prob of picking 4 d.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -105600 rounded to the nearest one thousand?\nAnswer: -106000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1654 = 39*j + 562 for j.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4150*j - 22845 = -4155*j. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 116\/5, -5, 5.\nAnswer: -5, -2, 1, 5, 116\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.7 - 6. Let o = n - 1. Let u = o + 0.6. What is the biggest value in -2, u, -2\/23?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in three tenths of a microsecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*r + 13465 - 3095 = 70*r + 135*r for r.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23963244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**3 - 3*w**2 + 2*w - 13. Let y(f) = 8*f**3 + 8*f**2 - 6*f + 44. Give 7*b(i) + 2*y(i).\nAnswer: 2*i**3 - 5*i**2 + 2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + z + 3*z)*(425 - 425 - 708*z)*(2*z**2 + 3*z**2 - 3*z**2).\nAnswer: -4248*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 431480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 6*q**2 + 6*q + 2. Let r(g) = -g**2 - g - 1. Let c(p) = -a(p) - 6*r(p). Is c(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a millennium in months?\nAnswer: 79200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qcj. What is prob of picking 1 c and 1 q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = v - 5*v. Suppose 15*g - 4*g - 2486 = v. Suppose r + 3*d + 121 = 2*r, 2*r - 2*d = g. List the prime factors of r.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1515777?\nAnswer: 3, 149, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 42*h**3 - 2182*h**2 - 98*h - 436. Give v(52).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.85 - -0.05. Let y = o + -0.5. Let q = -4.2999963 - y. What is q rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -8*i + 3*w - 13, 0 = -w + 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 283 = 10*r + 313 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 greater than -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.15 - -0.45. What is the closest to 1\/3 in 1, l, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.04 - 7. Let b = x - 1.04. Let r = -1 - -1. What is the closest to -0.1 in r, b, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/20912956 and -9\/404.\nAnswer: 2112208556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -1 + 1 + y**2. Let p(r) be the second derivative of -5*r**3\/6 - 184*r. Give w(p(z)).\nAnswer: 25*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k + 12. Let p be o(14). Let h(c) = 3*c + 29. Suppose 0 = 3*a + g + 33, 4*g + 42 = -3*a - 0. Let l be h(a). Put p, -3, l in descending order.\nAnswer: l, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.1*-1.6.\nAnswer: -1.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 609*a**2 - 599*a**2 - 1 + 7 - 3*a**3 + a**3 - 14*a = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3625.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000039114796 to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1187*k - 1997*k = -337*k - 355875 for k.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3628.343mm in meters?\nAnswer: 3.628343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.021199771 to three dps.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -497*d**5 + 239*d**2 wrt d?\nAnswer: -29820*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = f + 55 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -2*q + 3*y - 7*y, -5 = 5*y. Let x = q - -14. Let c(k) = -k**3 + k**2 - 2*k. What is c(x)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 12 - 12*d + 26*d - 10*d - d. Calculate n(-11).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -138, -141, -138, -123, -90, -33?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r + 19. Let g(t) = -3*t - 25. Let b(w) = -3*g(w) - 4*x(w). Let v(k) = -k + 10. Give b(z) - v(z).\nAnswer: 2*z - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -69, -143 in ascending order.\nAnswer: -143, -69, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -516 = -13*a + 1174. Is 13 a factor of (-9)\/(27\/(-12)) + a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + v = 11, 2*m + 3*v = -0*m - 22 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wtppp. What is prob of picking 2 p?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3019935880?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48611 or 48616?\nAnswer: 48611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a hour in seconds?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g - 44*x + 13 = -20*x - 13*x - 13*x, -4*g - 3*x = 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 11*v**2 - 3*v + 3. Let l be f(-11). Calculate the common denominator of (-1)\/(-3)*(-17)\/(-2)*-1 and (34\/l)\/(6\/9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k + 1. Let d be g(-3). Let x be d\/((-5)\/(-2)) + 0. Which is the third smallest value? (a) -2\/7 (b) -3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**3\/9 - 2*l**2\/9 + 40*l\/9 = 0.\nAnswer: -5, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 671*i - 1343. Calculate p(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1838?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -9 - -9 - 70\/(-2). Let r(f) = 118*f - 349. Let p be r(3). Solve 5*j = p*l + s, -j - 18 = 3*l + l for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3*t = 27, -t = -0*l + l - 1. Let r(d) = -6 + 3*d + 31 - 33. Let w(m) = m - 1. What is l*w(p) + r(p)?\nAnswer: -p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -7566*k**3 - 20*k**2 + 197*k + 7. Let f(l) = -3781*l**3 - 8*l**2 + 99*l + 3. Let d(n) = 5*f(n) - 2*y(n). Find the second derivative of d(u) wrt u.\nAnswer: -22638*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2711, 5, 555, 2 in ascending order.\nAnswer: 2, 5, 555, 2711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1\/1)\/(1\/274 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-9) - (-626180)\/(-18). Is (-2)\/(-13) + z\/(-169) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(4500) + 3*sqrt(4500) + sqrt(45)))\/(-5*sqrt(4374)\/sqrt(6)).\nAnswer: -41*sqrt(5)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-132)\/18 - 20\/36?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 30 = -f - 23, 5*f = -5*v + 95. Let z = -10 + v. Let s be (-21)\/28*z\/9. Which is the second biggest value? (a) -0.2 (b) s (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2*(sqrt(153) + (sqrt(153) + -1 + -4 - sqrt(153)) + sqrt(153)*-2*-6 + (2 + 2*sqrt(153) - (-6*(sqrt(153) + 0) + sqrt(153) - sqrt(153))))**2 + 1).\nAnswer: -4536*sqrt(17) + 809790","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 371946 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1255124396931 - 410.\nAnswer: 1255124396521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 350 + -206. Let b be (-8)\/36 - 4*4\/q. Let i = 0.9 - -4. Is i less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 29717 and 0.85?\nAnswer: 29716.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*k**4 - 1)*(2 - 2 - 2*k) + (5*k**5 + 2*k**5 - 5*k**5)*(461 + 1169 + 82).\nAnswer: 3420*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.1, -0.179, 4, 3\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-8))\/(2\/((-2)\/9)). Let r(g) be the third derivative of 1\/180*g**5 + 3*g**2 + 0 + 0*g + 0*g**3 + h*g**4. Factor r(s).\nAnswer: s*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2360 + 67*c - 2344 - 17*c + 4847. What is the units digit of i(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 193 = -d + 190, 0 = -d - v for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (6*(-4)\/28)\/(2\/14)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 1:47 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 5751*f - 11500*f + 5752*f. Let s(d) = -643*d**2. Give s(q(h)).\nAnswer: -5787*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3144910 or 3144905?\nAnswer: 3144910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/3*12\/(-4). Suppose o*q + 2 = 6*q. Let a(w) = 3*w**2 + 3*w - 2. What is the tens digit of a(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*k**3 - 48*k**3 + 93*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 761 smaller than 5335\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -147523, -4, -2.\nAnswer: -147523, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 118 + -118. Let f = -2.7 - -3. Let j = -1\/116 + 703\/812. Sort 8, n, f, j in decreasing order.\nAnswer: 8, j, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 796 + -1526. Round y to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4150200?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/9 + (392\/(-882))\/((-1)\/24) + 33\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**5 - 12*i**3.\nAnswer: 3*i**3*(i - 2)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.02789 + -1843727\nAnswer: -1843726.97211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttyyutttiysuisysi. Give prob of sequence tyi.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = m - 1. Let q(k) = -k**2 - 5*k. Let o be q(-4). Calculate the remainder when 28 is divided by (-15)\/m*8\/o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -20c6 + 463b?\nAnswer: 2555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -0.6. Let d = -0.4 + o. Let g be -1 + (-7)\/2 + 2. Put g, d, 1\/5 in descending order.\nAnswer: 1\/5, d, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1150, -1147, -1144, -1141?\n\"Answer: 3*n - 1153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 16.4. Let b = 0.367 - 0.067. Sort 1, h, b, -1\/2.\nAnswer: -1\/2, b, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28078, 112297, 252654, 449143, 701758, 1010493, 1375342, 1796299?\nAnswer: 2273358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2115813237+1611\nAnswer: -2115811626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 401233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k**5 - 25*k**4 - 25*k**3 + 125*k**2 + 20*k - 100 = 0. Calculate k.\nAnswer: -2, -1, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 4*c = -16. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**2 + 2*u**5 + 0*u**2 + (12*u - 12*u + 4*u**4)*(1 + 181*u - 242*u + 1).\nAnswer: -242*u**5 + 8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 284690 and 5798?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2 + 105*z + 810.\nAnswer: -5*(z - 27)*(z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 4 + 12 - 6 - 5 - 1 + 3 + 0 + (0 - 2 + 0)*(2 - 5 + 4))*(7*w**3 - 4*w**3 - 11*w**3).\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -6*z**2 - 9*z - 5. Let v(l) = 7*l**2 + 7*l + 4. Let j(q) = 5*v(q) + 4*y(q). Let n(p) = 2*p**2. Determine j(n(w)).\nAnswer: 44*w**4 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2559 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3537, 2747, 1437, -393, -2743?\n\"Answer: -260*m**2 - 10*m + 3807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3829663 is divided by 112637.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -15, a - 20 = -a - 2*f. Let x(u) = u**2 - 6*u + 7. Suppose -3*n + b = -75, 0*b + 4*b = 12. Calculate the remainder when n is divided by x(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 500753852 + -500832379.599992. Let a = j - -78528. Let l = 0.4 - a. Round l to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2205 + 68*o - 1101 - 1102)*(-2 + 5*o + 2).\nAnswer: 340*o**2 + 10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-8)*(-24)\/(-198)*-3.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o - 3 + 0*o - 2 + 4. Let r(s) = -3*s**3 - 4*s + 5. Let h(p) = -r(p) - 4*u(p). Find the first derivative of h(a) wrt a.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 376 times -3\nAnswer: -1128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/2 of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*w**2 - 10 + 10)*(1 + 0 - 2)*(-4 - 6 + w + 13) to the form u*w + s + r*w**3 + t*w**2 and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -41, 106, 0, 5 in ascending order.\nAnswer: -41, -5, -2, 0, 5, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w + 0*w - 4*w. Suppose 3*u - 4431 = -k + 4*u, -5*k - 3*u + 22187 = 0. Let h(b) = -4435 + k - 3*b**2. What is d(h(a))?\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 24098 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: What is the value of 2*((-750)\/140)\/15*(784\/(-24))\/14?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lc when two letters picked without replacement from {i: 1, t: 3, c: 1, w: 3, b: 2, l: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 42022422?\nAnswer: 42022432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j - 0*j - 132. Let r be -4 - (-1)\/4*j*118. Suppose r = -42*n + 45*n. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -3*p**5\/2 - 45*p**4\/2 - 141*p**3\/2 + 237*p**2\/2 + 72*p - 96 = 0?\nAnswer: -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 194*l**4 - l + 452.\nAnswer: 776*l**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 1 + (-2 - 2 + 6)*(-3 - 1 + 6))*(t + t + t).\nAnswer: 15*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48.4 - 18.4. Let j = -10.8 - c. Let p = 55.12 - j. What is p rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 240 + 427. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 8:57 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 24214638 to the power of 1\/2, to the nearest integer?\nAnswer: 4921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**2 + 0*a**2 - 14*a**2.\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 + 38*k - 47 - 8*k + 33*k.\nAnswer: 63*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2.9*-138\nAnswer: 400.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 929 is divided by 126.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = -2*d + 53. What is the biggest value in 1.6, d, 3\/8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13983 - -3344?\nAnswer: -10639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) + 1)*2*-2 + (sqrt(13) - -5*(sqrt(637))**2 - (-1*sqrt(104))\/sqrt(8)).\nAnswer: -6*sqrt(13) + 3181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -1\/2 (c) 125.29 (d) 3 (e) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3705675643?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7402?\nAnswer: 2, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o - 7. Let p be b(-11). Let f be (-2)\/p*2*3. Let n be 620*(-1 + -1 + f). Round n to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 - 2 - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of h**3\/3 + 11*h**2\/2 + 5*h - 14. List the prime factors of i(-17).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9\/11637070 or -1?\nAnswer: 9\/11637070","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 125046, -2\/7, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -988467.553 rounded to the nearest ten?\nAnswer: -988470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 437349 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 3:49 AM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1812*b**3 + 118 - 61*b + 130*b + 908*b**3 + 903*b**3 - 69*b.\nAnswer: -b**3 + 118","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 34 + 66 = 0. Is (-282770)\/(-40) - (-2)\/m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 11:20 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 8*c + 487. Let x be k(-60). Calculate the greatest common divisor of 1953 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 3, 114 in increasing order.\nAnswer: -11, 3, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vj when two letters picked without replacement from {v: 3, j: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 73\/4 of a meter?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 56812*h**5 + 689*h**2 + 28?\nAnswer: 3408720*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 19*k**2. Let p(m) = -91*m**2. Let z = 584 - 587. Let j(h) = z*p(h) - 14*b(h). Let u(v) = v + 6. What is u(j(q))?\nAnswer: 7*q**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -98 and -3.\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2 + 2 - (6 - (17 - 2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10246, -20487, -30742, -41017, -51318, -61651?\n\"Answer: -j**3 - j**2 - 10231*j - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*f + 35587 = 0, -3*r = 3*f - f - 21353. Suppose 3041 + r = 3*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -13*h**2. Let c(g) be the third derivative of g**5\/20 + 27*g**2. Determine r(c(z)).\nAnswer: -117*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uukkkkkkkk. Give prob of picking 1 k and 1 u.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 238411 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 166 - 286 - 2*b + 136 - 31*b - 23*b as n + k*b and give n.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 5. What is the third derivative of 3*j**5 + j**c - 3*j**2 - 3*j**5 - j**5 wrt j?\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 50834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 1)*(-d**3 - d**3 + 4*d**3) + 20*d - 20*d + d**3 + (-d + 7*d - 3*d)*(2*d**2 + 2 - 2) to the form t + x*d**2 + q*d**3 + k*d and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, k: 3, p: 4, a: 2, z: 7}. What is prob of picking 1 k and 1 d?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 5. Let w be 2 + 10*t\/12. Let l = -0.2 + -0.8. Sort l, -2\/11, w in decreasing order.\nAnswer: -2\/11, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-88)\/((-53856)\/(-4182)) + 1?\nAnswer: -35\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1270.\nAnswer: 2, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-21 - (-2 - (0 + (6 - 7))))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2*(sqrt(49) + sqrt(441)\/(sqrt(9)*2) + sqrt(49) + sqrt(49) + sqrt(49))\/(1*sqrt(49)\/sqrt(7)) + -5)**2.\nAnswer: -36*sqrt(7) + 571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 u, and 1 o when three letters picked without replacement from wqqqoqjjwumm.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 10873038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*f - 8*f - y, -2*f - 4 = -y for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*p + 147 - 312 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 9*a**3. Let d be v(10). What is d rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 89 + -62. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - s - 2. Let u(k) = 3*k**2 + k - 326. What is 4*o(p) + 2*u(p)?\nAnswer: 2*p**2 - 2*p - 660","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**4\/24 + 2*n**2. Let b(o) be the second derivative of -10*o + 0 + 0*o**2 - 1\/2*o**3. Give i(b(z)).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**3\/5 + 11*t**2 + 728*t\/5 - 784\/5 = 0.\nAnswer: -28, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhh. What is prob of picking 2 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22b (base 15) to base 10.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from saabareasubbaae. Give prob of picking 1 a and 1 r.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1390 - 1246. What is the highest common divisor of 81 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + j. Let f(h) = -12*h**2 - 10*h. Let z be (-2)\/(-7) - 576\/56. Let c(k) = z*v(k) - f(k). Let r(u) = -3*u**2. Determine c(r(d)).\nAnswer: 18*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -265 + 168 + 2*x + 0*x in the form g*x + v and give v.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-53) + -125 + 624092\/6572?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3425\/23699 - -17\/1823. What is the closest to 298 in 0.3, c, 5, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*a = 65*a + 63 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -2) + 6 + -3 + -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u = -11*u. Suppose 3*z + 3*p - 11 = 7, u = 4*z - 2*p - 12. Find the third derivative of 16*l - z*l**3 - 4*l**3 - 16*l - 7*l**2 wrt l.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v. Let s(l) be the second derivative of 0 + 0*l**2 + 55\/2*l**3 + 68*l. Give d(s(g)).\nAnswer: 330*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -22538849117.\nAnswer: -22538849113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggg. Give prob of picking 3 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -40*i + 6. Calculate the remainder when 135 is divided by b(-1).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 241*u**4 + 34*u - 4.\nAnswer: 2892*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 2*c**2 + 3*c - 3. Let l be q(6). Calculate the remainder when (-2)\/(-4) - l\/6 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/5)*t*(t*t\/(t\/t**(-13\/3)))\/t*t**(-1\/18)*t**(12\/7) assuming t is positive.\nAnswer: t**(-1307\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 8*y - 132. Calculate s(6).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 + 216*o + 126 + 52*o.\nAnswer: 268*o + 85","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -k**4\/12 - 5*k**3\/9 - 4*k**2\/3 - 4*k\/3 - 48. Factor y(g).\nAnswer: -(g + 1)*(g + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -10. Let z(s) = s**3 - 2*s**2 - s - 1. Let j be z(3). Solve 0 = x*b - j*h + 7, b + 2*h + 5 = -0*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 398735*m + 552367.\nAnswer: 398735","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53 + 58.4. Round d to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 l when two letters picked without replacement from fllfllvvllvw.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58676160 by -4.\nAnswer: -14669040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -828089856 divided by 13056\nAnswer: -63426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m - 79. Let f(r) = -35*r + 870. Calculate 6*f(i) + 65*g(i).\nAnswer: -15*i + 85","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/59319?\nAnswer: 2\/59319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23\/5 + 5. Let x = 0.5 - 1.8. Let q = x + 1.1. What is the nearest to h in -1, -4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -11, -3067*q + m = -3062*q - 6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -15897*w - 15877. Give q(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24.6 + -29. Let y = 4 + d. Let g = 53 - 211\/4. What is the nearest to g in 0, y, -1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2697716936 - -1457520103. Let v = 1240197148.9999678 + x. Let z = v - 316. Round z to 6 dps.\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*p = -i - 4, -5*i = -3*p + 16. Let a = i - -6. Solve r + 6 = a*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**3 + 1093*b**2 - 16828*b - 261. Calculate v(15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -1\/356 (c) 8 (d) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of 3*h**5\/20 + h**4\/2 + h. What is o in a(o) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/47 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -25296 or -278250\/11?\nAnswer: -278250\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, q: 2, y: 1, n: 1}. What is prob of sequence nq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 9*d**2. Let z(l) = 8*l**2. Let f(a) = 4*n(a) - 6*z(a). Let c(j) = 3*j**2. Determine f(c(i)).\nAnswer: -108*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 10}. What is prob of picking 3 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of c**4\/2 + 10*c**3\/3 + 4*c**2 + 42. Factor v(x).\nAnswer: 2*x*(x + 1)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 + 11. Let q be (-14)\/(-42) - 22\/c. Suppose 0 = 2*n + 3*b + 4, 0*n + q*b = -4*n. Solve n*g + 2*k = -k - 4, 5*k = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 218 + 127 = -12*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001207397389 rounded to 7 decimal places?\nAnswer: 0.0000121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + x)*(0*x**3 - 2*x**3 + 5*x**3) + 6*x**2 - 6*x**2 + 5*x**4 + 0*x**4 + x**3 - 2*x**3 + 2*x**4.\nAnswer: 10*x**4 - x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/251106 and -67\/6.\nAnswer: 251106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 12:35 AM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 10) to base 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11.285 + 11.2855893. Round g to 5 decimal places.\nAnswer: 0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l + 19*l + 4961 = 2*k, 5*k + 3*l = 12404. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2029267555?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -914004 divided by 162?\nAnswer: -5642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 152839522?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/1044 and 15\/116.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49*g**5 + 2*g**4*y + 114*g**3 + 3*g**2*y - 2*g**2 - 494*y - 10 wrt g.\nAnswer: 2940*g**2 + 48*g*y + 684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 7*p + 17. Let k(o) = -o**3 - 9*o**2 - 10*o - 22. Let g be k(-8). Let n be j(g). Solve 4*r + 10 + n = -b, -5*b = 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -0.2 (b) 4 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 14, 16, 18, 20?\n\"Answer: 2*z + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 5*o - 4. Let j be t(3). Let l be ((-2)\/21)\/(2\/6). Which is the third biggest value? (a) l (b) j (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 8 = -2*v - 38, 0 = 5*v - 4*g + 145. Let m = v - -24. Let l(b) = b**2 + 8*b - 11. Calculate l(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3937.42 + 166.58. Is l at most as big as -3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-4) - (-20)\/(-2). Let b be 2622\/22 - (-2)\/p. Let g = 174 - b. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12728\/99, -32, 2\/7, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 62 = -81*o + 83*o, -35 = w + 12*o + 1 for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51*a**3 + 37*a**3 + 2*a**4 - 5 - 87*a**3 to f*a**3 + u*a + i*a**4 + o + l*a**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1239, -6, 0, 21, 3, 4, -2.\nAnswer: -1239, -6, -2, 0, 3, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -237, -4464, -15973, -38406, -75405, -130612, -207669, -310218?\nAnswer: -441901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 335415 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -7*a - 72. Let f = 44 - 20. What is the remainder when d(-17) is divided by f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -23*b - 6. Let l(x) = 11*x + 3. Let a(u) = -13*l(u) - 6*t(u). Let j(z) = -9*z - 5. What is 11*a(o) - 6*j(o)?\nAnswer: -o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24375 - -3?\nAnswer: 24400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -1\/28*h**4 - 6*h + 0*h**2 + 1\/21*h**3 + 0 - 1\/70*h**5 + 1\/70*h**6. Factor a(g).\nAnswer: g*(g - 1)*(g + 1)*(3*g - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-36)\/(-21))\/(-1 + 40\/28) + 1. Sort v, -5.2, -0.4, -0.04 in decreasing order.\nAnswer: v, -0.04, -0.4, -5.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -43?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from klkcckkcklkk. Give prob of sequence cc.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 - -0.3. Let y be (-1)\/3 + 284\/96. Let g = -1\/8 + y. What is the smallest value in 0, r, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 39024 = -3*q. Suppose q = 3*y + y. Suppose 5*p - 2011 = -4*w, -5*w + 59 = p - y. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) -2\/9 (c) -0.8 (d) -4384\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.27, -4, 0.002, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 64958.49 millilitres in litres?\nAnswer: 64.95849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 30*1\/(-6)*17*8\/136?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211201010 + -22111?\nAnswer: 211101122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 16 = -3*a, -15 = 4*a + 2*p + 9. Let c be -23*(1 - a\/(-2)). Suppose 0 = -11*y + 3*y + 16. Solve 2*u + 5*s + c = 0, u - s - 5 = y*s for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - b. Let k(n) = 2*n**2 - 8*n. Let i be 8 - (-22 + 16 - -13)\/((-7)\/(-2)). What is i*a(c) - k(c)?\nAnswer: -6*c**3 - 2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 55*o - 7705. Let u be f(141). Solve u = -4*p + 38 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18686*x**2 + 17202?\nAnswer: -37372*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-26)\/(-4)*(2 + 0\/9). Let t be m\/39 + 532\/6. What is the derivative of 68 - 137 + 32*w**2 + t wrt w?\nAnswer: 64*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -27 + 77215?\nAnswer: 77166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -59. Let r = -39 + u. What is the closest to 0.2 in -3, -0.2, r?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0*z = 25. Suppose 19*c = 50*c - 279. What is the remainder when z is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(3\/22)\/((r*(r\/(r\/(r\/r**10)*r))\/r)\/r)*r*r**(-14)\/r*r**(-18) assuming r is positive.\nAnswer: r**(-459\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01 - -10.3.\nAnswer: 10.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2631797981 to the nearest integer?\nAnswer: 51301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r**2. Let i be w(1). Suppose 15775 = -i*n - 56225. Round n to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1834 is divided by 398.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 54\/(-9) + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1210 by -22528.\nAnswer: 55\/1024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 2092*w + 46*w**2 + 2083*w.\nAnswer: 46*w**2 - 9*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -35*s - 1188. Let y be u(-43). Which is bigger: 315 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vkvvvkqqqkkpdkdq. Give prob of sequence dqq.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 134 and 9.\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 4*h**2 + 122*h + 252. Calculate the least common multiple of 1710 and a(-2).\nAnswer: 6840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14137 - 4067 = 19*z. Is 5 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 4*v**2. Let h be k(-4). Suppose g - 4*g + 9 = 0. Solve g = -h*b + b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16\/7 + -73\/35. Let m(r) be the third derivative of 1\/3*r**3 + j*r**5 + 2*r**2 + 0*r - 1\/3*r**4 - 1\/15*r**6 + 0 + 1\/105*r**7. Factor m(g).\nAnswer: 2*(g - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 397922, -1\/4 in descending order.\nAnswer: 397922, 5, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/5 (b) -1.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3, -10, -25, -48, -79, -118, -165?\n\"Answer: -4*j**2 + 5*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*p**3 - 58 + 58)*(-4 + 6 + 2).\nAnswer: 40*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/454 and 19\/2.\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -c**6\/120 + c**5\/20 - c**2 + 3*c. Let i(a) be the first derivative of b(a). What is i(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3206720?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, k: 4, i: 6, l: 2}. Give prob of sequence cl.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5413679, -10827263, -16240847?\nAnswer: -21654431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3 + -2*sqrt(98) + -4 + 0 + sqrt(98))**2*-5.\nAnswer: -1095 - 770*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**8*z)\/(z*z**9))\/(z**(-5)*z*(z**(-1)*z)\/z))\/((z\/(z\/z**(-9))*z**(1\/14)*z)\/(z*z**6*z*z**(-1\/2))) assuming z is positive.\nAnswer: z**(136\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 34724 divided by 4\nAnswer: 8681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/6*0\/3. Suppose -5*c - 10 = g + 4*g, 4*g - 4 = h. Sort c, -2, 3 in decreasing order.\nAnswer: 3, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 9*x**3\/8 - 102027*x**2\/8 + 543903*x\/8 - 169965\/8 = 0.\nAnswer: 1\/3, 5, 11331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/5? (a) -5 (b) 0.48 (c) 3\/29 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/18 - (-7)\/18. Let q = 3317\/3020 + 1\/604. Let r = -53\/30 + q. Which is the fourth biggest value? (a) -2 (b) 5 (c) i (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 56*q**2 + 6 in the form k*q**2 + d + c*q and give k.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/54)\/(610\/(-7686))*((-42)\/1)\/3\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 978 - 974. Solve 26 = r*f + 2*l, -3*f + 27 = 5*l - l for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37 + 115 - 35 - 43 - 15786*s)*(-s**3 + 2*s**3 - 2*s**3).\nAnswer: 15786*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298 is divided by 93.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.693278 millennia?\nAnswer: 6.93278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 - -37. Let m be 18\/c - (-6)\/8. Suppose j - 2*o + 7*o = 35, -4*j + 71 = -m*o. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 144, 287, 430, 573, 716?\nAnswer: 859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 2:07 AM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -1, -10, -5 in decreasing order.\nAnswer: 23, -1, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o - 42*o + 61*o - 2 + 79*o.\nAnswer: 100*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2000122549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -67260 to the nearest one thousand.\nAnswer: -67000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6674 less than 0.09720655113?\nAnswer: -6673.90279344887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 12*n + 16. What is v(-10)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53556*x + 1520 = 53594*x for x.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - i - 2*d + 32 = 0, -368*i + 2*d - 22 = -364*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -5*l**5 + 549*l**4 - 14500*l**3 + 79404*l**2 - 105120*l = 0?\nAnswer: 0, 2, 24\/5, 30, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f - 4307 + 4283 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -6*j. Suppose j = -3*c - 2*b + 8, 0 = 3*c - 3*b - 0*b - 3. Factor 5\/3*l**c + 4\/3 - 4*l.\nAnswer: (l - 2)*(5*l - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -858 = -26*b - 936 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 4, 23884, -7 in descending order.\nAnswer: 23884, 5, 4, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = o + 15, 4*o + 4*v - 7*v + 57 = 0. Let y = -8 - o. Suppose l - y = -0. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00458 rounded to 4 dps?\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 252909 to the power of 1\/2, to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109826 divided by 18.\nAnswer: 54913\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/5 (b) 2.1 (c) 0 (d) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -12*u - 33. Let z be r(-3). Solve 2*f - j - 1 = 5*f, 3 = 2*f - z*j for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 s when three letters picked without replacement from {s: 1, r: 3}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i**3 - 500*i**2 - 1786*i - 372 = 0.\nAnswer: -3, -2\/9, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 6:48 AM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -122720.853 to the nearest 1000.\nAnswer: -123000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4756849 or 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 8:10 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h - 8 + 4 + 2 - 1 as m*h + k and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -13*t**5\/90 - 4*t**4\/9 + 4*t**3\/27 - 22*t - 11. Let l(q) be the first derivative of j(q). Factor l(p).\nAnswer: -2*p*(p + 2)*(13*p - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004682 to five decimal places.\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -12, 4\/11, 15, -0.547?\nAnswer: -0.547","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**2 + 9. Let o(h) = -12787*h. What is o(g(x))?\nAnswer: -25574*x**2 - 115083","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 < 68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4383*m - 1972 = -4267*m for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/3)\/((-12)\/108))\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z - 114*z - 83*z - 281 - 5*z**2 + 101 = 0. What is z?\nAnswer: -36, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-69)\/(-2139) + (-3)\/93.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 397548, 397543, 397528, 397497, 397444, 397363, 397248, 397093?\nAnswer: 396892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4716590?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.9808 nanograms to micrograms.\nAnswer: 0.0119808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -5. Suppose -d = 1 + u. Is 5 a factor of (-19)\/d - (-2)\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2984 + 2074 = -26*a for a.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -9 + 3*a - 3*a**2 + 0*a**2 + 4*a**2. Suppose 3*r - m = 0, 21*m - 16 = 4*r + 25*m. Let j(i) = i + 1. Let s(l) = r*j(l) - w(l). Calculate s(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*u + 292 = -252. Let z = 69 - 65. Let d(p) = p**2 - 2*p - 2. Calculate the remainder when u is divided by d(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5422534042 - -2?\nAnswer: -5422534040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -136.93945875 to three dps.\nAnswer: -136.939","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 85\/(-27) + (18 - 9)\/3. Is z smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 23?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {v: 5, s: 1, j: 3, e: 6}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zdibd. What is prob of picking 1 b and 1 d?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2304 is divided by 2304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3205 = 132*o + 4525 + 1306 - 2172 for o.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19604 is divided by 9623.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 4*x**2 + 3*x - 7. Let q be a(-5). Let m(c) = 20*c**2 + c + 1. Let b be m(-1). Solve -q*g = 2*g + b for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 300 and 6?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.8993552 decades?\nAnswer: 0.008993552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 30 (b) -1\/127 (c) -9 (d) -11 (e) -4 (f) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1092*i + 1094*i - 2 = 0, 5*m + 4*i + 6 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-4))\/(1\/(-4)). Suppose l*q - 5*q + 72 = 0. Suppose 6 = 2*m - 18. Calculate the highest common factor of q and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/5 + 21556*q\/5 + 4311.\nAnswer: (q + 1)*(q + 21555)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 5*u**2 + 7*u - 12. Let m be c(-5). Let s = m - -353. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 58, 245, 558, 997, 1562, 2253?\n\"Answer: 63*k**2 - 2*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 428876*k + 6208 = 429070*k for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1188457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -384206 divided by 5?\nAnswer: -384206\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 171 (base 11) to base 13.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-3 + 9 + -14).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - (21 + 1)) + 17 - -13\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 12 = g. Calculate the highest common factor of g and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**4 + 91498*b**3 + 465719*b wrt b?\nAnswer: -12*b**2 + 548988*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/21*((-2079)\/414 - -5)?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 4*t + t - 50, -5*c + 25 = 0. Let n(d) = -10*d + 110. Let s be n(11). Sort 7, t, s in ascending order.\nAnswer: s, t, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1207059, 2414120, 3621181?\n\"Answer: 1207061*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 306\/(-51)*1\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jzjeeezjjjbepjje. Give prob of picking 1 b, 1 j, and 1 z.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2. Let a(z) = -95*z - 15*z + 5 - 4 + 1 - 118*z. Give a(j(b)).\nAnswer: -228*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y**2 + 8. Let s(m) = -6*m**2 + 9. Let g(p) = 4*s(p) - 5*w(p). Let o be g(-3). Solve 3*b - 6*b = -4*v - o, 0 = b + 5*v + 11 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -19300, 0 in increasing order.\nAnswer: -19300, 0, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5 + 3 + 0 + 2. Let y be (-4)\/10 - (-402)\/5. Suppose 0 = -2*p - f*p + y. Is p a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-6)*i*i**(-1\/3))**35*(i**(5\/3)*i**(-1\/4))\/((i\/i**(-6)*i)\/i**2) assuming i is positive.\nAnswer: i**(1055\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 88911439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ycyiyyyyyyyyyyyy. Give prob of picking 1 c and 2 y.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x**2 + 2*x + 2. Let m be k(-1). Suppose -5*h + 17 + 3 = 0. Let t(s) = -s**2 - 3*s + 3. Let n(r) = 2*r**2 + 4*r - 3. Calculate h*t(o) + m*n(o).\nAnswer: 2*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -330 + 329.8. Let b = 1102918.79999975 + -1102919. Let s = b - i. Round s to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 + 16420182*t - 22468531409427.\nAnswer: -3*(t - 2736697)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29 and 37439?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 168436\/(-80) + 1\/2. Let f = -8453\/4 - i. Calculate the common denominator of -23\/8 and f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 365755*u**3 - 521706*u**2.\nAnswer: 2194530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + -3 + 4*-6*(sqrt(192) + 1)*1*-4)*-6)**2*4.\nAnswer: 19464192*sqrt(3) + 255919104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 31 = 4*s + s, f + s = 17. Let o = 47 - f. List the prime factors of o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 43*f - 11. Does 29 divide b(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2113251 by -1.\nAnswer: -2113251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2*-3.1\nAnswer: -6.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -104, -4, 5, -1, 0, -1402.\nAnswer: -1402, -104, -4, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 23, -3, 4, 5, -2 in increasing order.\nAnswer: -23, -3, -2, 4, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 49*v + 20. Determine n(4).\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -767.1 at most -0.03807?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 2*f - 25 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -3, 0.3, 0.01 in decreasing order.\nAnswer: 2\/5, 0.3, 0.01, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -924 = -74*d - 58*d. What is the remainder when 152 is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 488 - 282. Let g be 1340\/(-80) + 17 - 1439\/(-4). Let l = g - x. Calculate the highest common divisor of 14 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12507 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: What are the prime factors of 961674915?\nAnswer: 3, 5, 2557, 25073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93.52479 nanometers to micrometers.\nAnswer: 0.09352479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/7)*y)**39*(y**0)**(4\/15) assuming y is positive.\nAnswer: y**(195\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 80439113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 5, -1375, 1 in decreasing order.\nAnswer: 5, 4, 2, 1, -1375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -596.351 - 10479.\nAnswer: -11075.351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4493405 litres to millilitres.\nAnswer: 449.3405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fxzcf. What is prob of sequence zffx?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8332483979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02 and -81.\nAnswer: -1.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n**3 + 33*n**3 + 27*n**3.\nAnswer: 69*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/8 (b) 8 (c) 0.5 (d) 0.173 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3 + 308*l**2 + 13136*l - 89040.\nAnswer: -4*(l - 106)*(l - 6)*(l + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2205797 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.3 + -1. Let q = -0.3 + y. Let i = 91 + -87. Which is the nearest to q? (a) 2\/11 (b) i (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 1827 - 3*a**2 - 1827. Let t(w) = 2*w + 9. What is p(t(q))?\nAnswer: -12*q**2 - 108*q - 243","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3376 and 61724252?\nAnswer: 844","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 13 - (-3)\/(8\/((-96)\/9))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**2 - f**2 + f**2 + (-f + 0*f + 3*f)*(f - 2 + 2) in the form i + y*f**2 + r*f and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/220 and 69\/645500?\nAnswer: 7100500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14728093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x + 7*x - 3*x - 14 + 7*x. Is b(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5\/7 - 1) + (-481)\/(-91). Let r be b\/4 - -1 - 4\/16. Suppose -16 = -4*k, -r*k + 35 = 6*j - 3*j. Does 9 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13279394?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2835\/334 - -2\/167. Find the common denominator of o and -113\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 4*b - 1. Let m be t(-9). Does 10 divide m - (-3 - 2*14\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 2*y = -4*o - 10, 0 = -y - o for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 996 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5618 and 0.18?\nAnswer: -1011.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/11)\/t*t*t*t\/(t\/(t**28\/t)) assuming t is positive.\nAnswer: t**(306\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 2:04 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -36066.38 and 464474?\nAnswer: 500540.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 g, and 1 b when three letters picked without replacement from dghrmmb?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 + l + 1. Let c(j) = -7*j**2 + 13*j + 14. Let d(w) = -c(w) + 6*s(w). Let m = -8 + 18. Is d(m) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2606649 - 1830351. Round s to the nearest 100000.\nAnswer: -4400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*c**3*g**3 + 1111418*c**3*s + 71*c**3 + c*g**3*s + c*g**3 + 2*c*g**2 + 522*c*g with respect to s.\nAnswer: 1111418*c**3 + c*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14340440 - 1234?\nAnswer: -14342114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*d + 153*d + 5*g - g = -13, 0 = -8*g + 8 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 4438 (b) -0.0244 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) 0.0382 (c) -294\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20348161 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -4*r + 16, -64*r = 4*g - 69*r + 7. Solve 2*n + m = -g - 2, 3*n = -4*m + 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u + 3 - 3995*u**2 - 3 + 3643*u**2 in the form x + w*u**2 + m*u and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(847) + sqrt(847) + -4)*-5 + -3)**2.\nAnswer: -4840*sqrt(7) + 85184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by -10893962.\nAnswer: -13\/5446981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-10) + 560\/(-1200)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 t, and 1 o when three letters picked without replacement from {q: 4, v: 3, o: 1, z: 2, j: 2, t: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of i**5\/5 + i**4\/2 - 2*i + 4. Let l(j) be the first derivative of g(j). Find the third derivative of l(b) wrt b.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 0 + 17*z - 3 - 1 + 4*z**2. Let k(x) = -x**3 + 21*x**2 + 10*x - 206. Let s be k(21). Let j be n(s). What is the greatest common factor of j and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 357013150?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -1, 0, 2, 11.\nAnswer: -17, -1, 0, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -206 <= -144?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (15067\/2)\/(23\/46). Suppose 7*f = -l + 66356. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7122 (base 9) to base 11.\nAnswer: -3a01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 plus -0.35?\nAnswer: -18.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -434\/171?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 644? (a) -2\/3 (b) -1\/5 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 28 + 7. Let n = 56 - 56.1. Which is the closest to 2? (a) n (b) g (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 34*x**2 + 63*x + 37. Let d be j(32). Let r(b) be the first derivative of b**2 - 1. Let w(k) = k. Give d*w(a) - r(a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (25 - (27 + 20) - 3) + -2\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/3)\/(18\/(-54)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90 + 30 + 27 + 22*j + 27*j + 25.\nAnswer: 49*j - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-4))\/(3\/(-1)*(-36)\/216)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 4, 253 in increasing order.\nAnswer: -1, 1, 4, 253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 6*z**2 + 7*z. Let y = 371 + -381. Let u be (15\/y)\/(35\/10 - 3). Calculate b(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/9)\/((-4)\/(-6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/3 - 38\/(-3). Let b = 31 - p. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-9))\/(52\/(-12) + 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of 7*m + 1\/3*m**3 - 7 - 1\/2*m**2. What is the tens digit of f(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1297 + -1304. Which is the closest to 1? (a) -1 (b) 1 (c) v (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-6*(4 + sqrt(1088) + -2) + ((sqrt(1088) + 0)*-1 - (sqrt(1088) - (sqrt(1088) + -1*(1 + sqrt(1088))))))**2 + 2)*1.\nAnswer: 1664*sqrt(17) + 69800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2. Let y(u) = 121*u - 9566. Give y(m(j)).\nAnswer: -121*j**2 - 9566","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 0)*(y + 0 + 0) + (0*y + 3*y - 2*y)*(-1 + 7 - 2) + 0*y + y + y - 4*y + 4*y - y.\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a + 11. Let x(j) = j - 6. Let s(n) = -3*p(n) - 5*x(n). Let f be s(6). Suppose -c + f*c + 4500 = 0. Round c to the nearest 100.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 8 = -2*q. Suppose -3*a + 24*a + 56 = -7*a. Does 16 divide -2 - a - (q + 0 + -167)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.09765 centimeters to kilometers.\nAnswer: 0.0000809765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/9 - 72*t**2 - 3977*t\/3 + 12580\/9.\nAnswer: -(t - 1)*(t + 20)*(t + 629)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 12:18 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1715574 rounded to the nearest one hundred thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -11*b + 124. Determine d(10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 642.2 + -585. Let z = s + -47. What is z rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 + 2*y**2 - 3499976 + 3499981 - 2*y**2.\nAnswer: -y**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -9*q - 82. Let t = 9 + 20. What is the remainder when t is divided by n(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 20*m**2 + 2*m - 26. Let d(g) = -1 + g + 0 - 8 + 7*g**2. Let b(a) = -17*d(a) + 6*q(a). Let h be b(5). Put h, -5, 1 in increasing order.\nAnswer: -5, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + 1 - 0) + 1. Suppose g*d - 10 - 6 = 0. Let b = d + -1. Solve -b*z = -2*s + 3 + 1, 4*z = 4*s - 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/7 - 5\/((-315)\/4). Are g and -36 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*q - 10 = -5*v - 30*q, -v - 5*q + 29 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 40 + 600. Suppose i = 6*i - y. Suppose r + 24 = -2*v + 208, 0 = 2*v + 4*r - 178. Calculate the remainder when v is divided by i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of 13*q**6\/120 - q**3\/6 - 20*q**2. Calculate k(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (127 - 142*i - 127)*(4 - 4*i + 0*i + 3*i).\nAnswer: 142*i**2 - 568*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/3)*a\/((a*a**3)\/a))**(17\/5) assuming a is positive.\nAnswer: a**(-68\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 30217 (base 8) to base 6\nAnswer: 133315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 - -34.3. Which is the nearest to -3? (a) g (b) 2\/5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1022, 1888, 2754, 3620, 4486, 5352?\nAnswer: 6218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of a**8\/112 - a**5\/60 + a**2\/2 - 3. Let o(u) be the second derivative of c(u). Find the third derivative of o(z) wrt z.\nAnswer: 180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 + 65 = 24*p + 111. Solve 5*w = y + 16 + 2, -p*w - 4*y = -24 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5380, -5426, -5472, -5518, -5564, -5610?\nAnswer: -5656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 253601.2 minutes in milliseconds?\nAnswer: 15216072000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 - -27. Suppose c*j - 2*j = -3*a + 11, -j = 4*a. Is 55 a factor of 6\/12 + j\/((-24)\/993)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 247*p**3 + 3542*p**3 + 5*p - 5*p.\nAnswer: 3789*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1492 + 1494. Put 1\/6, -4\/11, p, 2\/3 in increasing order.\nAnswer: -4\/11, 1\/6, 2\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8*219\/6 + (-3 - -7). List the prime factors of -1 - (4 - (w + -3)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.672 + -0.6718196. Round w to five dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -68898\/7 - -9843. Let k = 0.2 - -0.8. What is the nearest to 0.2 in s, k, -2\/21?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 9, u: 2}. What is prob of sequence tt?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -118582520 by 5.\nAnswer: -23716504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 176287 and -0.24294.\nAnswer: 176286.75706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 12:40 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.2 + -3. Let s = o + -0.3. Let w = 1.4 + -1.1. What is the nearest to s in 0, w, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/sqrt(54) + 0)**2*4.\nAnswer: 112\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-4) + -5*(-7)\/140. Suppose y = j - 11*j + 30. Solve j*p + 18 = 12 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 39650\/653 or 60?\nAnswer: 39650\/653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(6*(0 + sqrt(891) + -5) - (((sqrt(891) - sqrt(891)*1) + sqrt(891) + sqrt(891) - sqrt(891)) + -4)*5)**2.\nAnswer: -991 + 180*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 0 - (-32 + 40)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s + 2. Let b be c(2). Suppose b = m + 2*m. Suppose 2*i + 2 + m = 0. Is i greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 p, and 1 w when three letters picked without replacement from wperj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79224.\nAnswer: 2, 3, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3804?\nAnswer: 2, 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/2*2\/(-3). Let g = 342 + -341. Is 341 + t\/(2 - -1) - g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-3)*l**4\/l assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -589998 or -590110?\nAnswer: -589998","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*b = 123 + 91 + 38. Solve -b*l + 12 = 20 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -392 = 44*x - 964 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 935*q**3 + 231*q**3 + 266*q**3.\nAnswer: 1432*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 4978?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 4*g - 1. Determine b(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 302.\nAnswer: -1\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-36)\/(-27))\/((-6)\/(-45)). Let v = 29 - p. Let k(a) = a**3 + a**2 - 8*a + 6. Calculate the remainder when k(4) is divided by v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 - 12 - 5*l**2 - 22.\nAnswer: -5*l**2 - 83","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1008352011 - 0.06?\nAnswer: -0.1608352011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**3 - 312 + 312.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 94 - 66. Let x(w) = -2*w - 32. Let r(m) = 2. Let q(o) = a*r(o) + 2*x(o). Give q(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qnn when three letters picked without replacement from {d: 1, q: 7, n: 2}.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -147*a. Let z(y) = -23*y + 15. Let c(q) = 42*q - 27. Let m(u) = 5*c(u) + 9*z(u). What is m(h(r))?\nAnswer: -441*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 130.5716 - -2.4284. Do -0.29 and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 5:36 AM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 31083, -3\/19, 2?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (27\/(-2))\/(-3)*(-14)\/(-21). What is the remainder when (-1)\/((-28)\/48 - (-1)\/o) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17652 and 2806.\nAnswer: 24765756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 3*q**2 - 7*q + 13. Let y be k(4). Let d(o) = -29*o. What is d(y)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*l - 170*l + 11*l - 1.\nAnswer: -171*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/2 + (-3)\/(-2). Let g(z) = 2*z - 1. Let q be g(j). Suppose -3*p + 7 = q*a - 21, -4*a + 23 = 3*p. Put -1, -3, p in decreasing order.\nAnswer: p, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 69 + 78. Is 23 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -m**8\/13440 + m**7\/1260 - m**6\/360 - 5*m**4\/24 - 3*m**2. Let r(y) be the second derivative of d(y). Solve r(f) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j - 11. Let a be (2 + -4)\/((-2)\/(-11)). Let v(b) = b - 4. Let t(s) = a*v(s) + 4*r(s). Let u(c) = -c. What is t(u(m))?\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 616422*o - 616425*o + 22 = -2*t, -6*o + 49 = t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 66394735 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9 or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1704870 and 32?\nAnswer: 27277920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47.893 + 0.107. Let r = -23 - d. Let u = -70.5 - r. Sort 6, u, 0.1, -0.5 in decreasing order.\nAnswer: 6, u, 0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 2 + -4 + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 5465*a**2 - 24*a - 101. Is s(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 17*o**2 + 14*o + 79. Let f be m(18). Let r(w) = w**3 - 6*w**2 - 7*w. Calculate r(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.89 + -0.889999928. What is i rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 2236403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004729 to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/6035 - -440519\/108630. Let h = -3450872493\/820 - -4208383. Let j = -23\/41 + h. What is the common denominator of p and j?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v - 27*v**2 + 11*v**2 + 0*v + 36*v**2 - 3*v in the form o*v + u + r*v**2 and give r.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2610)\/(-11310)*364\/2478?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43366.12nm to centimeters.\nAnswer: 0.004336612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 + 9 = -2*y. Suppose -2*q + 4*q - 12 = 0. Suppose 0 = -j + y - q. Solve 5*n - 2*p - 10 = 0, -3*n - 5*p = 10 + j for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 738520?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3909 or -40084?\nAnswer: -40084","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 12*h**2. Suppose -r - 3*r + 8 = 0. Let u(t) = -3*t**r + 122 - 62 - 60. Give u(d(f)).\nAnswer: -432*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -99861*q**2. Let h(w) = -w**2. Give h(u(c)).\nAnswer: -9972219321*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-6\/23)*l)\/(l\/(l*l\/(l**4*l)*l*l)))\/(l**(-3\/5))**(-30\/11) assuming l is positive.\nAnswer: l**(-480\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 9456.5\nAnswer: 18913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/4 + w - 3.\nAnswer: (w - 2)*(w + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 9*p - 5*s - 829, -2*s = -p + 412. List the prime factors of p.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/24)\/(63\/(-4201542)). Let g = 5559 - o. Calculate the common denominator of g and -38\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2633 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -51189512, -51189513, -51189514, -51189515, -51189516?\n\"Answer: -r - 51189511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -230 - -329. Suppose -93 - o = -4*j. Let i = j + -12. Is i a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001205 rounded to 7 decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -12*g - 195. Let k(s) = -2*s - 2. Let y(q) = 4*k(q) - n(q). Let i be y(-29). Suppose 4*z + 2*t = 270, -2*z + z + 50 = 4*t. Which is bigger: z or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of q**4\/60 + 4*q**3\/15 + 6*q**2\/5 + 3*q - 67. Find o, given that s(o) = 0.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 202, 370, 472, 508, 478, 382, 220?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + u + 0*u)*(-2*u + 2*u + 3*u) - 3*u**2 + 2*u**2 + 3*u**2 + (-u - 2 + 2)*(0*u + 0*u - 3*u) + 3*u**2 + 0*u**2 - 5*u**2.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z**2 + 47*z - 1098. Give t(-30).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03980158 to three dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssim. Give prob of picking 1 i and 1 s.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 117863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 128890 and -0.104.\nAnswer: 128889.896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60073353 to the nearest integer?\nAnswer: 7751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 7\/2*t**2 + 1 + 5\/3*t**3 + 2*t. Factor j(c).\nAnswer: (c + 1)*(5*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7302228233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -417100 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1570023*g**4*v - 1715*g**2*v - g*v + 17*g wrt g?\nAnswer: 37680552*g*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1164261505.\nAnswer: 5, 11, 21168391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14543 + -14530. Solve w = -3*s - 1, -s - 3*w + t = -6*w for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244643 times 3.37?\nAnswer: 824446.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -0.5 (c) -8.4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*m**4 - 42*m**2 - m**3 + 2*m**3 + 40*m**2 + 4*m - 6*m as s*m + v*m**2 + x*m**4 + r*m**3 + w and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 34700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1*1*sqrt(42))\/(sqrt(726)*-1).\nAnswer: -1 + sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -88156, -88186, -88216, -88246, -88276, -88306?\n\"Answer: -30*a - 88126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.178038402 and 0.035.\nAnswer: 0.213038402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36721791 is divided by 1360066.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -119 + -15.8?\nAnswer: -134.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*m**4 - 5*m**4 + 0*m**4)*(-3 + 5 + 3)*(2 - 5 + 2) to the form r*m + f + u*m**3 + n*m**2 + k*m**4 and give k.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*s = 7, 0 = 3*z + 2*z - 2*s + 17. Let g be 6\/15 - (-32)\/20. Which is the third biggest value? (a) g (b) z (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.356 - 6.356. What is the biggest value in v, 1\/7, -4\/261?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x - 761. Let o(i) = -2*i - 725. Give -4*o(u) + 5*q(u).\nAnswer: 3*u - 905","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**2 - 4*m**2 + m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(12\/5))**(-22)*u**(2\/3)*u**12)**(21\/8) assuming u is positive.\nAnswer: u**(-2107\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 555 and 224701?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 17*x**2 + 422*x + 51. Calculate the remainder when l(-31) is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -95*w + 88*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*o**3\/8 + 151*o**2\/8 + 55*o\/2 - 3\/2 = 0. Calculate o.\nAnswer: -6, -2, 1\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -5*s + 37. Let o be n(7). Let m be (132\/36 - o)*1*3. Solve -2*f = -1 - m for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6324326 (base 7) in base 12?\nAnswer: -309428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l - 7*l - 3*l)*(4*l**2 - 134*l**2 - 11*l**2) to the form n + g*l**2 + y*l + a*l**3 and give a.\nAnswer: 1692","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 5*u - 3*u + (4*u - 5*u + 0*u)*(2 + 0 + 0) + 3 - 3 - u)*(-31 + 31 - 7*u**2).\nAnswer: 14*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from ooyoyzy.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 404568 divided by -36\nAnswer: -11238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 + 27.1. Let y = -0.8 + a. Let p = -5 + 24\/5. Sort p, -0.1, y in ascending order.\nAnswer: p, -0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23935505*t**3*u - t**3 + 6*t**2*u - t**2 + 10*t*u - 42*t - 118*u + 1 wrt t?\nAnswer: -143613030*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 5*k - 7. Let w be d(4). Let m(p) = w - 11 + 0*p + p. Determine m(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 540263621 to the power of 1\/2, to the nearest integer?\nAnswer: 23244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -947*c*j*z**2 - 121*c*j - 45*c*z**2 - j + 23*z wrt z.\nAnswer: -1894*c*j - 90*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 16*k**2 + 5*k + 8. Let g be q(0). Solve -13 = -g*r - 29 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 - 17. Solve 0 = -4*y - v - 3 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76089 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: In base 15, what is 105c6c5a + 3?\nAnswer: 105c6c5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 138 times -4?\nAnswer: -552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62307 by 387.\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70 - -2) + (26 + (-9 - 2) - 15 - -6).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 25*n + 1. Determine z(1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -261052?\nAnswer: -261054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 0.4, 1\/12, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29790419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 118671.\nAnswer: 1\/39557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5366653\/434175 + -10\/17367. Let k = w + -3461\/100. What is the common denominator of k and (-117)\/15 - (-7)\/(14\/4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.0392, -1, 7.6 in descending order.\nAnswer: 7.6, 2.0392, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 10 = -14. Let m(o) = -9*o + 8*o**2 - 6*o**3 + 7*o**3 + 2*o - n - 4*o. List the prime factors of m(-9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 91 and 3731?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 - ((6 - 9) + 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -2*w + 12, 2*w + 0*b = -2*b - 6. Let i be ((-2)\/(-4))\/((-1)\/(-12)). Suppose i = -3*d + 6*d. Solve 0 = -w*m - m - d for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6*(-15)\/220*(-12)\/(-9). What is u in 4\/11 + v*u + 2\/11*u**2 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -8*t - 6. Let y be a(3). Let v be -13 - -11 - (-1 + y). Suppose -5*r + v = 4*i, 5*r - 4*i + 3*i - 24 = 0. Is 5 at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-792)\/(-8))\/11)\/1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.4 + 3008876651046.\nAnswer: 3008876651043.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 1000010001011100100?\nAnswer: -1000010001011100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1356 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + (-155)\/(-30))*-4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*b + 3*m, -2*m + 5 = -2*b - 7*m. Suppose f + 4*f - 15 = b. What is the remainder when 7 is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 7. Suppose -4*h = -2*p - 8, -5 = -2*h + i. Let s = p + 46. Does 19 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 10*c - 3 = 0. Let s = 3 - c. Suppose -47 = -5*p + x + x, s = 5*x - 20. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1\/8, -1457, -1\/4 in descending order.\nAnswer: 1\/8, -1\/4, -1, -1457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -1464*y - 7. Let g(h) = -738*h - 3. Give 7*g(q) - 3*v(q).\nAnswer: -774*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -173\/1552179 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/7, 5, -4\/3 in decreasing order.\nAnswer: 5, 3, -1\/7, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 8:48 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-85)\/12 + (-8)\/(-36)*6 + 6. Factor -11\/4 - h*y**2 - 3*y.\nAnswer: -(y + 1)*(y + 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2671? (a) 0.2 (b) 0.02 (c) -2 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 20 = 0, -728*p + 724*p = -3*z + 32 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 6\/7 (b) -2\/7 (c) -17 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - 0. Let g = 5 + i. Does 2 divide (-2 + g)*20\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -38, -30, 0, 52, 126, 222, 340?\n\"Answer: 11*h**2 - 25*h - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (4 + -47 + 1)*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 5*r**2 - 13*r + 23. Let s(q) = -q**2 + 3*q - 6. Let u(j) = -2*g(j) - 9*s(j). List the prime factors of u(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0026625 rounded to 5 dps?\nAnswer: 0.00266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3567\/10 - -15671\/10. Let c = o + -1217. Sort -5, -0.3, c in decreasing order.\nAnswer: -0.3, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 42*f + 293. Give q(34).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50 + 74. Suppose 8*x = 10*x - y. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -625*i**4 + 310*i**4 - i**3 + 19 + i**2 - 2*i + 317*i**4 as p*i + j*i**4 + o*i**2 + d + a*i**3 and give d.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 2408.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 12*d**2. Let m(c) = c**2 - c - 1. Calculate h(b) + 2*m(b).\nAnswer: 14*b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 679944 and 2487600.\nAnswer: 101991600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, d: 2, l: 3, z: 4, p: 3, o: 3}. Give prob of picking 1 l, 1 o, and 1 p.\nAnswer: 27\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of 1\/12*v**4 - 10*v**2 + 0*v**3 + 0 + 0*v. Let r(s) = -2*s**2. Give u(r(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -n**4\/12 - 111*n. Let v(y) = -9*y. Determine v(o(t)).\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 308173 and 333.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((2\/(-10))\/((-61)\/122))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1690\/8 - 15\/60 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0.05 (b) 1 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50.5 + -51. Sort -0.3, 1\/2, k, 2 in ascending order.\nAnswer: k, -0.3, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(4\/11)*v*v\/v**(-34))**(4\/33))**(1\/45))**(21\/2) assuming v is positive.\nAnswer: v**(1120\/1089)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/7, 3, 0.5, 96, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 29 = -2*d + 3*q, 2*d = 3*q + 21. Let z be (-1)\/(9\/d - 0). What is the biggest value in z, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*n + 10. Suppose 52*b - 237 = -81. Solve 3*q - b = 3*y, -3*y + 1 = 3*q - n*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r - 3. Let p(k) = -146*k + 64. Give -84*f(m) - 4*p(m).\nAnswer: 500*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - 3*60\/(-9). Let g = 27 - j. Let h be (g\/(-6))\/((-4)\/6). What is the greatest common divisor of 8 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**3 + 40082 + 0*d**3 - 14905 + 2*d**2 - d**3.\nAnswer: -d**3 + 2*d**2 + 25177","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 27, 7282, -59, -4 in decreasing order.\nAnswer: 7282, 27, -1, -4, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 803.46617 times 0.2?\nAnswer: 160.693234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -1628 and -379396\/233 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hjjkhhkj. Give prob of sequence jhj.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 1. Let k(i) = 3*i**3 - i**2 + 5. Let w(n) = k(n) + 5*t(n). Determine o so that w(o) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s - 4*l - 40, -1466 = 2*s - l - 1481 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3574063147?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-3) - (-1975)\/15. Calculate the highest common factor of s and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + 27. Let x be r(-6). Let h be (-18)\/12*12\/x. Solve 2 - 4 = h*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -5*o + 19, 3*k = 6 - 0. Suppose 4*z = -j - 19, -o*z + 2*j - 9 = 5. Which is greater: -2 or z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**5\/5 - 7134*n**4\/5 - 317362*n**3\/5 - 1465434*n**2\/5 - 456368*n - 1126632\/5 = 0.\nAnswer: -39, -2, -1, 3611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -123547 >= -864831\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.234849 - -18?\nAnswer: 18.234849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 65832 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/30 - 19\/30. Suppose -y - 4 = -2*y. Let h be (-96)\/238 + y\/14. Put 2\/11, b, h in ascending order.\nAnswer: b, h, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 211587?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1784.8956 months to decades.\nAnswer: 14.87413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 20118, 20018, 19918, 19818?\n\"Answer: -100*q + 20218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11385 + 14109. Solve -2725*k + 4 = -x*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.05 - -0.05. Let j = 149 + -152. Which is the nearest to k? (a) 3 (b) -0.4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28.28 - 28. Let c = m - 0.338. Let r = -0.05800059 - c. What is r rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (12\/((-96)\/(-17548)))\/(3\/6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**7*x)\/x*x*x**(-3))**(2\/13) assuming x is positive.\nAnswer: x**(14\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 12056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 2:55 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 60.92027 years?\nAnswer: 0.06092027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/24 and 71\/243.\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2\/37)*b**21*b*(b\/(b\/(b\/(b*b*b**(-35)\/b))))\/b**(-16) assuming b is positive.\nAnswer: b**(2699\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/53 in 0.5, 5, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1680)\/(-80))\/(9\/5))\/((-5)\/18)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + c56cc?\nAnswer: c5700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 14450 and 1.9.\nAnswer: 14451.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4269351 by 5.\nAnswer: -4269351\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -0.21?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 79413 and 22557.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19148905079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 977 greater than 978?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25648 + -25667. What is the fourth smallest value in r, 1\/5, -5, -13?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 709 + -732. Which is the third biggest value? (a) 4 (b) w (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = -3*f - 130. Calculate the remainder when 50 is divided by f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/1 + (15 - 2). Suppose -3*g = -l*g + 4050. Let k = g - 310. What is the least common multiple of k and 4?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -130b3?\nAnswer: -130b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*q + 32*q - 5*b + 3, 0 = -3*q - 5*b + 27. Solve 2*a + 2*p + 12 = 0, 3*a - 6*a - q*p = 21 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 o when three letters picked without replacement from {r: 19, o: 1}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - 37.36.\nAnswer: -36.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 845*g**3 - 7372*g**2 + 7372*g**2.\nAnswer: 845*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3 = 2*n - n, 0 = -5*u + 5. Solve -3*j + 3 = -n*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1375 + (-16 - -22) - (-2)\/(-2)?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 96*a*i**3 - 7*a*i**2 - 2*a*i - 384*a wrt i?\nAnswer: 576*a*i - 14*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -5*t - 2. Let m(p) = 15*p + 7. Let f(u) = 4*m(u) + 14*y(u). Let i(l) = l. Give f(i(b)).\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.2 - 2. Let t = 25 + -24. What is the closest to d in t, 2\/3, -0.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rirrrivivirvirrr. What is prob of picking 1 i and 1 v?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 12874530 to the nearest one hundred thousand.\nAnswer: 12900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/1)\/(2\/(-316)). Let v = h + -793\/5. Let q = -1.97494 + -0.02506. Which is the closest to q? (a) -3 (b) 3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6536812 to the power of 1\/3, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 5*b - 72. Let y(i) = 3*i**2 - 14*i - 6. Let o be y(6). Let p = b - o. Are p and 20\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1525*b + 1526*b - 5*s - 193 = 0, 4*b - 88 = 2*s for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/3 (b) 21 (c) 1\/4 (d) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 15 = -3*y, 2*y - 2 = -4*x + 6*x. Suppose 0 = 4*v + 5*p - 2*p + 3, -4*p - 14 = 2*v. Which is the third smallest value? (a) v (b) x (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 83 - -7. Suppose 394 - p = 4*k. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -6.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/33)\/(2*6\/24) + 23688\/924.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186*l - 229*l - 214*l - 210*l - 2*l**3 + 839*l.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0*z**(2\/3))**(-10\/7) assuming z is positive.\nAnswer: z**(-20\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1033*x - 1033*x + 210 - 3*x**2)*(3*x + x - 3*x + (-2*x + 5*x + 0*x)*(-4 + 6 - 3)) to k*x**2 + h*x**3 + o*x + f and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*m + 10*m + 231 = -9 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1410845 less than 479?\nAnswer: 1411324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 2008*a**3 + 10.\nAnswer: -2008*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}